benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 15352, 30054, 3495, 14123, 14, 7630, 6568, 5, 4780, 9, 1619, 6, 4246, 10, 13305, 483, 7513, 30, 41, 21979, 8669, 6, 31391, 1672, 9590, 6, 38668, 2236, 6, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 9, 12312, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 211, 6, 274, 10431, 119, 6, 272, 401, 6, 3676, 6, 8, 274, 10431, 119, 6, 2351, 10, 32076, 8, 17627, 17274, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 65100, 78922, 51349, 51141, 50847, 52218, 51112, 50417, 50850, 58938, 51232, 65801, 55541, 53305, 68178, 51349, 52446, 51232, 50918, 51153, 50918, 51349, 51077, 50850, 51650, 71493, 50847, 51798, 50868, 51923, 50847, 51650, 50865, 79362, 50807, 51275, 50807, 51910, 51141, 50850, 51650, 76260, 50935, 51631, 51494, 50795, 51275, 58190, 51650, 54725, 51494, 51358, 51275, 51358, 51910, 58778, 53305, 51112, 58711, 63883, 50850, 51626, 55178, 50944, 51650, 67768, 50868, 50795, 54920, 51141, 50944, 51650, 76260, 50847, 51631, 51489, 50983, 53449, 50903, 59273, 51416, 57486, 53305, 50865, 54908, 65501, 71493, 51489, 55787, 51798, 53449, 50903, 51603, 50456, 51275, 50918, 52070, 71365, 50807, 57958, 63524, 76260, 50850, 51631, 74648, 50903, 59273, 51489, 50983, 51684, 52862, 50865, 57080, 65501, 71493, 50944, 52728, 51275, 58785, 61063, 50944, 51650, 50865, 65100, 78922, 51349, 51141, 50847, 52218, 51112, 50417, 50850, 58938, 51232, 65801, 55541, 53305, 68178, 51349, 52446, 51232, 50918, 51153, 50918, 51349, 51077, 50850, 51650, 71493, 50847, 51798, 50868, 51923, 50847, 51650, 50865, 79362, 50807, 51275, 50807, 51910, 51141, 50850, 51650, 76260, 50935, 51631, 51494, 50795, 51275, 58190, 51650, 54725, 51494, 51358, 51275, 51358, 51910, 58778, 53305, 51112, 58711, 63883, 50850, 51626, 55178, 50944, 51650, 67768, 50868, 50795, 54920, 51141, 50944, 51650, 76260, 50847, 51631, 51489, 50983, 53449, 50903, 59273, 51416, 57486, 53305, 50865, 54908, 65501, 71493, 51489, 55787, 51798, 53449, 50903, 51603, 50456, 51275, 50918, 52070, 71365, 50807, 57958, 63524, 76260, 74648, 51768, 59273, 51489, 50983, 51684, 52862, 50865, 57080, 50889, 50944, 53305, 68390, 51275, 60695, 51048, 50903, 61063, 51349, 52862, 50865, 70781, 50918, 51153, 50918, 51684, 51141, 50868, 53305, 68586, 50868, 51626, 54725, 51684, 58580, 53305, 69203, 51494, 50807, 51429, 50807, 51684, 51077, 57403, 60314, 68390, 51494, 50807, 51119, 53312, 50804, 50865, 65100, 50918, 51099, 50918, 51429, 50918, 51416, 63524, 51112, 51768, 59273, 52888, 50873, 51416, 52862, 54930, 58635, 50873, 51280, 50983, 51232, 50983, 51429, 50983, 51137, 65501, 71493, 58635, 54230, 58635, 63878, 51603, 50456, 54992, 50943, 52040, 50918, 51232, 50918, 51119, 50918, 54920, 63524, 76260, 53873, 51218, 51768, 59273, 51416, 52862, 54930, 53873, 50873, 51280, 50918, 51232, 50918, 51099, 50918, 51137, 65501, 71493, 54992, 54230, 58635, 63096, 51603, 50799, 58635, 51518, 51198, 51036, 51099, 51036, 51429, 51036, 51137, 63524, 51112, 51768, 59273, 51137, 52862, 54930, 51181, 65501, 51112, 57403, 51798, 50848, 55023, 51603, 50453, 50868, 51754, 50944, 50795, 50799, 64227, 73201, 61565, 51137, 51141, 50935, 56528, 51650, 76260, 71269, 51429, 50807, 51275, 72523, 50983, 51007, 50983, 51768, 59273, 51275, 50806, 51137, 52862, 54930, 78261, 71269, 51429, 50807, 51349, 57130, 68390, 51494, 50807, 78582, 51275, 50807, 51910, 67638, 51603, 65100, 50918, 51099, 50918, 51153, 50918, 51416, 63524, 68586, 57026, 63878, 59273, 57026, 50873, 51416, 52862, 54930, 57026, 50943, 51232, 50983, 51099, 50983, 51153, 50983, 51137, 65501, 68390, 57026, 63878, 51603, 50456, 59634, 50943, 51099, 50918, 51429, 50918, 51275, 50918, 53053, 63524, 76260, 59634, 50943, 51768, 59273, 58635, 51221, 51198, 50918, 51099, 50918, 51429, 50918, 51137, 52862, 54930, 51181, 65501, 51112, 50441, 54992, 54207, 53873, 50943, 51955, 51603, 50456, 53873, 50873, 50799, 54992, 50873, 51198, 50983, 51494, 50983, 51119, 50983, 51684, 63524, 76260, 54992, 50943, 51768, 59273, 54992, 51127, 51198, 51358, 51494, 51358, 51119, 51358, 51684, 52862, 50865, 54585, 65501, 51112, 51955, 51603, 57958, 63524, 68586, 51494, 50807, 51119, 58785, 59273, 51684, 52862, 54930, 51275, 50918, 52070, 50918, 51349, 57130, 68390, 51684, 67638, 51603, 66301, 50918, 51429, 50918, 51489, 50918, 51684, 63524, 51112, 51768, 59273, 51684, 52862, 54930, 58635, 50873, 51280, 50983, 51232, 50983, 51429, 50983, 51349, 65501, 71493, 58635, 54230, 58635, 63878, 51603, 50456, 54992, 50943, 52040, 51358, 51232, 51358, 51119, 51358, 54920, 63524, 76260, 53873, 51218, 51768, 59273, 51416, 52862, 54930, 53873, 50873, 51280, 50983, 51232, 50983, 51099, 50983, 51137, 65501, 71493, 54992, 54230, 58635, 63096, 51603, 50799, 58635, 51127, 51198, 51036, 51099, 51036, 51429, 51036, 51137, 63524, 51112, 51768, 59273, 51137, 52862, 54930, 51181, 65501, 51112, 51955, 51603, 50456, 52982, 50935, 50795, 69378, 50918, 51137, 51141, 50868, 59192, 51650, 51112, 58082, 50983, 50935, 50983, 51768, 59273, 51137, 52862, 54930, 51429, 50918, 51349, 60798, 53006, 51650, 71493, 51042, 50983, 50847, 58624, 51349, 67638, 51603, 54920, 63524, 68586, 57026, 50873, 51232, 50983, 51099, 50983, 50903, 59273, 57026, 50943, 51416, 52862, 54930, 51137, 65501, 71493, 59634, 51218, 51232, 50983, 51099, 50983, 51955, 51603, 50799, 59634, 51127, 51099, 50918, 51429, 50918, 51275, 50918, 51137, 63524, 51112, 51768, 59273, 51137, 52862, 54930, 58635, 50833, 51198, 50918, 51099, 50918, 51429, 50918, 51181, 65501, 51112, 50441, 54992, 54207, 53873, 50943, 51955, 51603, 50456, 53873, 50873, 50799, 58635, 50873, 51494, 50918, 51429, 50918, 51684, 63524, 76260, 59634, 53890, 58635, 63878, 59273, 61656, 50943, 51684, 52862, 54930, 51232, 50918, 51489, 50918, 51416, 63524, 71493, 59634, 51675, 51955, 51603, 50456, 51416, 50805, 60603, 50983, 51275, 50983, 51910, 63524, 51112, 51768, 59273, 61656, 51218, 51494, 50983, 51119, 50983, 51489, 50983, 51910, 52862, 50865, 54585, 52862, 55700, 51910, 52918, 55178, 59634, 50943, 78582, 51275, 50807, 51684, 52918, 55037, 51374, 52862, 50865, 50799, 58635, 50873, 51198, 50983, 51099, 50983, 51429, 50983, 51137, 51141, 54932, 52862, 78870, 64948, 59634, 50873, 55810, 52201, 54675, 59634, 50873, 55810, 52918, 54725, 59634, 51218, 51099, 50983, 51429, 50983, 51275, 50983, 68795, 55810, 51623, 50801, 54930, 51181, 65501, 50865, 51180, 54554, 59634, 50943, 71269, 51429, 50807, 51275, 52496, 55037, 50801, 50865, 50799, 61656, 50873, 71269, 51429, 50807, 51489, 50807, 51137, 63524, 56202, 59634, 54068, 54675, 59634, 50943, 71269, 51429, 50807, 51275, 52496, 54725, 51137, 52862, 54930, 59634, 50943, 51099, 50918, 51429, 50918, 51275, 50918, 51181, 57130, 50865, 51180, 54554, 58635, 50873, 51137, 52918, 55037, 53873, 50873, 51349, 52862, 50865, 50799, 58635, 50873, 51198, 50983, 51494, 50983, 51429, 50983, 51910, 51141, 54932, 52862, 56202, 59634, 50873, 55810, 52201, 54675, 59634, 50873, 55810, 52918, 54725, 59634, 51218, 51494, 50918, 51429, 50918, 51275, 50918, 51910, 50805, 55810, 51623, 50801, 50865, 55827, 63524, 50865, 51180, 54554, 59634, 53946, 55037, 61656, 51218, 51494, 51358, 51429, 51358, 51489, 51358, 51640, 52862, 50865, 59373, 63524, 50865, 51039, 54675, 59634, 53946, 54725, 58635, 50873, 51910, 52862, 54930, 59634, 50943, 51494, 50807, 51429, 50807, 51275, 50807, 51640, 63524, 50865, 51180, 54554, 58635, 50943, 78261, 51494, 50807, 51429, 52496, 55037, 51640, 52862, 50865, 50799, 54992, 50873, 51280, 50983, 51232, 50983, 51119, 50983, 51416, 57130, 56202, 53873, 54068, 54675, 53873, 50873, 51416, 52918, 54725, 53873, 51127, 51280, 51358, 51232, 51358, 51099, 51358, 51137, 65501, 50865, 51658 ]
[ 0, 250, 765, 6, 3722, 37903, 9, 3495, 930, 4246, 10, 5540, 13305, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 7630, 14805, 10, 2933, 6, 8728, 5466, 20455, 9, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 69827, 62143, 77438, 51442, 50298, 78382, 68036, 68036, 54243, 50906, 77438, 54729, 51176, 51608, 50300, 51608, 50300, 51608, 50300, 62202, 62931, 52297, 50288, 51538, 50444, 51176, 78382, 59428, 59428, 62202, 71734, 51013, 51018, 66650, 62930, 68036, 68036, 68036, 65439, 64919, 52759, 51077, 51360, 51077, 51040, 75427, 75427, 75427, 51077, 51028, 51336, 51018, 69980, 54851, 50965, 54729, 51360, 51608, 50293, 51608, 50293, 51608, 50297, 59428, 55480, 51050, 78382, 78382, 59428, 59428, 62202, 51013, 51018, 60284, 78382, 78382, 59428, 59428, 71734, 64919, 51197, 51608, 50295, 51608, 50295, 51608, 50300, 51077, 50989, 51077, 50876, 51336, 52759, 51538, 50444, 51176, 68036, 68036, 50889, 51018, 69980, 51442, 50300, 68036, 68036, 54243, 50965, 54729, 51197, 51608, 50300, 51608, 50300, 51608, 50300, 68036, 58419, 52297, 50288, 51538, 50444, 51197, 62930, 68036, 68036, 68036, 62202, 51013, 79395, 51197, 62930, 68036, 68036, 68036, 65439, 64919, 51360, 78382, 78382, 51608, 50300, 75427, 51077, 51028, 51336, 51503, 51538, 71289, 59428, 59428, 50889, 51018, 69980, 70101, 59428, 59428, 54243, 50965, 54729, 51050, 51608, 50297, 51608, 50297, 51608, 50297, 71734, 51608, 50324, 52297, 50281, 51538, 50444, 51050, 51608, 50300, 78382, 78382, 62202, 62931, 51013, 79395, 51028, 51442, 50297, 51608, 50300, 78382, 78382, 59428, 54243, 51028, 54729, 51378, 51608, 50298, 51608, 50298, 51608, 50298, 62202, 58835, 52297, 50285, 51538, 50444, 51378, 78382, 68036, 68036, 68036, 58419, 51013, 51018, 62143, 77438, 51442, 50298, 78382, 68036, 68036, 54243, 50906, 77438, 54729, 51176, 51608, 50300, 51608, 50300, 51608, 50300, 62202, 62931, 52297, 50286, 51538, 50444, 51176, 78382, 59428, 59428, 62202, 71734, 51013, 51018, 66650, 62930, 68036, 68036, 68036, 65439, 64919, 51360, 51077, 51040, 75427, 75427, 75427, 51077, 51028, 51336, 51503, 51538, 51018, 69980, 51442, 50324, 52483, 50965, 51442, 50324, 52605, 51360, 51608, 50293, 51608, 50293, 51608, 50297, 59428, 58419, 52297, 50326, 51608, 50281, 63883, 51050, 78382, 78382, 59428, 59428, 62202, 52297, 50324, 50889, 51018, 60284, 78382, 78382, 59428, 59428, 71734, 52297, 50329, 55112, 51197, 51608, 50295, 51608, 50295, 51608, 50300, 51077, 50989, 51077, 50876, 51336, 51062, 51077, 52759, 51538, 50444, 51176, 68036, 68036, 50889, 51018, 69980, 51442, 50324, 50805, 51176, 68036, 68036, 54243, 50965, 51442, 50324, 52605, 51197, 51608, 50300, 51608, 50300, 51608, 50300, 68036, 58419, 52297, 50326, 51608, 50288, 51538, 50444, 51197, 62930, 68036, 68036, 68036, 62202, 52297, 50324, 50889, 79395, 51197, 62930, 68036, 68036, 68036, 65439, 52297, 50331, 55112, 51360, 78382, 78382, 51608, 50300, 75427, 51077, 51028, 51336, 51399, 51077, 51503, 51538, 71289, 59428, 59428, 50889, 51018, 69980, 51442, 50324, 75319, 59428, 59428, 54243, 50965, 51442, 50324, 52605, 51050, 51608, 50297, 51608, 50297, 51608, 50297, 71734, 51608, 50324, 52297, 50336, 51608, 50281, 51538, 50444, 51050, 51608, 50300, 78382, 78382, 62202, 62931, 52297, 50333, 50889, 79395, 51028, 51442, 50329, 69769, 51608, 50300, 78382, 78382, 59428, 54243, 51028, 51442, 50329, 52605, 50632, 51378, 51608, 50298, 51608, 50298, 51608, 50298, 62202, 58835, 52297, 50328, 51608, 50285, 51538, 50444, 51378, 78382, 68036, 68036, 68036, 58419, 52297, 50326, 50889, 51018, 62143, 77438, 51442, 50334, 50805, 51378, 78382, 68036, 68036, 54243, 50906, 77438, 51442, 50334, 52605, 50632, 51176, 51608, 50300, 51608, 50300, 51608, 50300, 62202, 62931, 52297, 50333, 51608, 50286, 51538, 50444, 51176, 78382, 59428, 59428, 62202, 71734, 52297, 50329, 50889, 79395, 50631, 51176, 62930, 68036, 68036, 68036, 65439, 52297, 50331, 55112, 50630, 51360, 51077, 51040, 75427, 75427, 75427, 51077, 51028, 51336, 51399, 51077, 51503, 51538, 51018, 50432, 52759, 51077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 11, 381, 3694, 6, 278, 7, 10, 7212, 204, 73, 306, 20889, 4, 20, 33215, 16739, 9, 1918, 6, 163, 406, 6, 3676, 6, 272, 119, 1176, 406, 6, 8, 1918, 406, 428, 245, 3639, 5581, 7, 5, 15229, 18, 2933, 8, 8728, 223, 34693, 4, 2285, 63, 15549, 38639, 6, 5, 2125, 10200, 7, 35334, 10, 25306, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 51027, 56876, 58835, 66950, 55385, 51086, 52483, 50876, 62530, 57631, 66950, 55112, 50973, 52446, 51050, 57449, 59460, 61471, 55480, 51026, 52596, 51027, 68368, 59460, 58835, 50889, 54868, 59428, 59460, 66154, 51077, 56248, 50805, 51315, 62202, 55112, 50899, 52446, 51027, 51077, 50900, 51077, 50916, 74114, 51077, 56310, 56876, 58835, 66950, 55385, 51086, 52483, 50900, 57631, 58835, 66950, 53912, 68246, 58050, 77438, 55480, 50900, 60424, 56472, 52596, 50899, 59428, 66154, 51608, 50324, 50889, 57346, 68368, 59460, 78599, 51077, 56040, 68036, 66154, 53912, 50916, 51077, 50916, 51077, 50973, 51077, 51147, 51077, 53975, 56472, 60424, 78599, 55385, 51086, 58050, 52483, 51027, 59460, 66950, 51608, 50328, 53912, 50916, 59460, 66950, 51608, 50327, 64712, 51315, 62202, 61471, 55069, 50999, 50805, 56310, 51264, 50916, 51264, 50876, 51264, 50999, 51264, 56310, 56876, 58835, 66950, 55385, 51086, 52483, 50876, 62530, 57631, 66950, 55112, 50973, 52446, 51050, 57449, 59460, 61471, 55480, 51026, 52596, 51027, 68368, 59460, 58835, 50889, 54868, 59428, 59460, 66154, 51077, 56248, 50805, 51315, 62202, 55112, 50899, 52446, 51027, 51077, 50900, 51077, 50916, 74114, 51077, 56310, 56876, 58835, 66950, 55385, 51086, 52483, 50900, 57631, 58835, 66950, 53912, 68246, 58050, 77438, 55480, 50900, 60424, 56472, 52596, 50899, 59428, 66154, 51608, 50324, 50889, 57346, 68368, 59460, 78599, 51077, 56040, 68036, 66154, 53912, 50916, 51077, 50916, 51077, 50973, 51077, 51147, 51077, 53975, 56472, 60424, 78599, 55385, 51086, 58050, 52483, 51027, 59460, 66950, 51608, 50328, 53912, 50916, 59460, 66950, 51608, 50327, 64712, 51315, 62202, 61471, 55069, 50999, 50805, 56310, 51264, 50916, 51264, 50876, 51264, 50999, 51264, 56310, 56472, 56876, 66950, 55385, 51086, 58654, 52483, 50877, 62530, 68368, 66950, 55112, 50965, 52446, 51050, 56876, 57260, 62931, 55480, 51026, 58654, 52596, 51027, 70156, 58835, 66950, 50889, 59130, 59460, 58835, 61471, 51141, 56947, 57631, 66154, 55112, 50876, 52446, 51085, 51077, 50916, 51077, 79721, 50876, 51077, 53975, 55143, 58835, 66950, 55385, 51086, 52483, 51027, 59460, 58835, 51608, 50322, 53912, 51086, 61480, 66154, 65934, 55480, 51027, 52596, 51026, 68368, 66154, 66950, 50889, 59130, 62930, 58835, 78599, 54243, 51026, 60424, 66154, 65934, 55112, 51027, 52446, 50916, 66154, 51141, 51086, 51077, 51114, 51077, 62291, 55069, 50877, 50805, 57551, 51077, 51086, 51077, 50965, 51077, 50968, 61086, 51315, 68555, 51040, 66950, 55480, 51378, 56876, 52596, 51026, 78382, 58419, 66950, 50889, 59130, 57260, 56876, 58050, 55385, 51176, 57449, 58654, 52483, 50876, 72136, 68368, 58835, 55112, 50877, 52446, 51197, 68036, 59460, 66154, 51077, 59758, 50805, 51315, 62202, 55069, 50899, 50805, 58106, 51279, 51264, 51040, 51264, 50916, 51264, 50877, 51264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 8, 3495, 24904, 1619, 2214, 19, 10, 25306, 27456, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 274, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 230, 6, 274, 6, 8, 163, 428, 35315, 1328, 5, 2125, 6, 2351, 10, 2950, 8, 12298, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 66702, 51038, 51057, 53077, 50808, 51234, 77502, 60241, 64924, 64292, 50995, 53089, 50995, 78114, 51096, 55530, 54042, 50901, 50415, 50939, 51253, 50416, 51007, 51400, 50417, 53077, 51203, 51039, 69115, 50872, 58187, 53077, 51255, 51234, 77502, 59782, 63211, 64924, 51003, 51690, 50995, 50939, 50995, 51096, 56951, 54042, 75241, 51007, 51267, 51361, 58952, 53077, 50812, 51057, 53407, 51189, 51279, 51911, 50301, 60241, 60250, 50943, 51304, 51047, 73360, 70389, 51069, 55530, 54042, 50901, 51039, 53172, 51279, 51911, 50301, 59782, 60250, 51003, 73360, 71873, 51069, 56951, 52839, 54777, 53407, 55163, 69587, 61542, 51057, 54414, 50805, 51214, 51911, 50299, 62649, 59783, 63211, 50943, 51811, 50995, 62254, 51443, 55530, 54042, 50901, 50415, 50939, 51056, 50420, 54414, 52808, 69115, 50872, 58187, 53250, 51116, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 51304, 50995, 67103, 52936, 56951, 62852, 67577, 51267, 51361, 58952, 53250, 60831, 73360, 51057, 53077, 51189, 51234, 77502, 60241, 63211, 64924, 50943, 51394, 51047, 50939, 50995, 51096, 55530, 54042, 50901, 74481, 51056, 51039, 69115, 50872, 58187, 51234, 77502, 59782, 63211, 64924, 51003, 50939, 50995, 51096, 56951, 62852, 50427, 51007, 51267, 50432, 53077, 55163, 69587, 62254, 51057, 53863, 51116, 52046, 51911, 50295, 58532, 63211, 77410, 50943, 51394, 51003, 50939, 50995, 51105, 55530, 54042, 50901, 50415, 51298, 51056, 51039, 58861, 53863, 62046, 50847, 58187, 53863, 50805, 52046, 52019, 50295, 58657, 63211, 77410, 51003, 51811, 51003, 50939, 50995, 51105, 56951, 62852, 50427, 51298, 51267, 50432, 53863, 52808, 69587, 73360, 51057, 53863, 50805, 51799, 51911, 50294, 60241, 63211, 79442, 50943, 51690, 51003, 50939, 50995, 50927, 55530, 54042, 50901, 50415, 51257, 51056, 50420, 53407, 52808, 69115, 50872, 58187, 53077, 50805, 51799, 52019, 50294, 59782, 63211, 64924, 51003, 53089, 51003, 50939, 50995, 50927, 56951, 62852, 50427, 51007, 51267, 50432, 54414, 55163, 69587, 73360, 51057, 53250, 50805, 51247, 51911, 50297, 60241, 61817, 60250, 50943, 53506, 51003, 67103, 50945, 55530, 54042, 50901, 60043, 51056, 50420, 53250, 52808, 69115, 50872, 58187, 53077, 51116, 51234, 77502, 59782, 63211, 64924, 51003, 53089, 51003, 50939, 50995, 51096, 56951, 62852, 50427, 51007, 51267, 51361, 58952, 54414, 60831, 73360, 51057, 53250, 51189, 51247, 51911, 50297, 60241, 61817, 60250, 50943, 52487, 51047, 67103, 50945, 55530, 54042, 50901, 60043, 51056, 51039, 69115, 50872, 58187, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 67103, 52936, 56951, 54042, 50845, 67577, 51267, 50432, 53250, 55163, 69587, 73360, 51057, 53077, 50805, 51234, 77502, 60241, 63211, 64924, 50943, 53089, 50995, 50939, 50995, 51096, 55530, 54042, 50901, 74481, 51056, 50420, 53077, 52808, 69115, 50872, 58187, 53077, 51116, 51234, 77502, 59782, 63211, 64924, 51003, 51690, 50995, 50939, 50995, 51096, 56951, 54042, 75241, 51007, 51267, 51361, 58952, 53077, 60831, 73360, 51057, 53407, 51189, 51247, 51911, 50297, 60241, 61817, 60250, 50943, 51304, 51047, 67103, 52936, 55530, 54042, 50901, 60043, 51056, 51039, 69115, 50872, 58187, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 67103, 52936, 56951, 52839, 50901, 67577, 51267, 50432, 53407, 55163, 69587, 69130, 51057, 54414, 51116, 51214, 51911, 50299, 72225, 59783, 63211, 50943, 51811, 50995, 62254, 51443, 55530, 54042, 50901, 50415, 50939, 51056, 51039, 58861, 54414, 62046, 50872, 58187, 53250, 51116, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 51304, 50995, 67103, 52936, 56951, 54042, 50901, 67577, 51267, 51361, 58952, 53250, 60831, 73360, 51057, 53077, 51189, 51234, 77502, 60241, 63211, 64924, 50943, 51394, 51047, 50939, 50995, 51096, 55530, 54042, 50901, 74481, 51056, 51039, 69115, 50872, 58187, 51234, 77502, 59782, 63211, 64924, 51003, 50939, 50995, 51096, 56951, 62852, 50427, 51007, 51267, 50432, 53077, 55163, 69587, 62254, 51057, 53863, 51116, 52046, 51911, 50295, 58532, 63211, 77410, 50943, 51394, 51003, 50939, 50995, 51105, 55530, 54042, 50901, 50415, 51298, 51056, 51039, 58861, 53863, 62046, 50847, 58187, 53863, 51116, 52046, 52019, 50295, 58657, 63211, 77410, 51003, 51811, 51003, 50939, 50995, 51105, 56951, 54042, 75241, 51298, 51267, 51361, 58952, 53863, 60831, 73360, 51057, 53863, 50805, 51799, 51911, 50294, 60241, 63211, 79442, 50943, 51690, 51003, 50939, 50995, 50927, 55530, 54042, 50901, 50415, 51257, 51056, 50420, 53407, 52808, 69115, 50872, 58187, 53077, 50805, 51799, 52019, 50294, 59782, 63211, 64924, 51003, 53089, 51003, 50939, 50995, 50927, 56951, 52839, 50901, 50427, 51007, 51267, 50432, 54414, 55163, 69587, 69130, 51057, 53250, 50805, 51247, 51911, 50297, 72225, 61817, 60250, 50943, 52487, 51003, 67103, 50945, 55530, 54042, 50901, 60043, 51056, 50420, 53250, 52808, 69115, 50979, 58187, 53077, 51116, 51247, 52019, 50297, 65227, 61817, 60250, 51003, 51690, 51003, 67103, 52936, 56951, 52839, 50901, 67577, 51267, 51361, 58952, 53250, 60831, 50848, 51477, 52323, 54414, 51486, 51234, 51939, 50997, 51692, 50899, 51939, 50871, 51939, 50906, 51692, 53089, 51422, 50872, 51939, 51096, 73447, 51115, 51206, 51295, 50416, 50939, 51692, 62382, 53264, 50804, 50866, 54141, 50845, 52323, 53407, 50914, 51721, 50915, 52228, 50915, 55329, 50915, 51186, 50981, 51224, 56015, 55085, 50801, 53172, 53407, 51077, 51721, 51183, 52228, 51183, 55329, 51183, 51638, 51047, 78036, 51690, 51103, 51037, 51277, 51186, 60881, 69238, 60307, 50848, 70351, 50872, 51277, 50856, 56306, 50848, 50972, 51057, 53863, 51116, 51721, 51255, 52608, 51255, 55329, 51255, 51251, 50981, 51165, 50981, 51926, 50914, 66181, 51186, 68798, 56255, 63118, 50848, 61378, 51037, 62241, 58861, 53863, 50812, 51721, 50810, 52608, 50810, 55329, 55582, 50851, 51186, 53450, 53407, 51189, 51721, 51115, 52228, 51115, 55329, 51115, 51165, 51148, 51201, 51148, 51384, 51127, 51037, 50933, 51186, 68432, 59384, 64627, 50848, 56626, 50872, 62241, 58952, 60577, 51057, 50939, 59743, 59384, 71423, 50872, 61378, 53407, 50849, 51721, 50974, 52228, 50974, 55329, 55257, 50933, 51186, 50892, 51321, 58861, 51037, 53220, 53863, 50805, 51721, 50905, 52228, 50905, 55291, 50901, 51088, 50915, 51107, 50915, 51394, 50914, 50988, 50933, 50953, 55944, 79380, 59910, 51037, 56626, 53863, 50849, 51721, 50974, 52228, 50974, 55291, 55257, 50933, 50953, 50892, 51065, 60234, 66850, 51057, 56418, 51116, 51721, 51255, 52491, 51255, 55291, 51255, 51088, 50981, 51266, 50981, 51394, 50914, 70687, 50953, 68798, 68383, 63118, 50847, 61378, 50909, 63320, 62149, 56418, 50812, 51721, 50810, 52491, 50810, 55291, 57424, 50851, 50953, 53450, 54985, 51189, 51643, 51115, 51978, 51115, 54833, 51115, 51154, 51148, 51093, 51148, 51284, 51127, 68059, 50945, 51310, 50801, 79380, 59910, 50872, 56626, 63062, 51065, 60234, 70849, 51057, 51164, 59743, 68383, 63118, 50946, 61378, 54985, 50849, 51643, 50845, 51978, 50845, 54833, 56566, 50933, 50945, 54788, 77542, 58861, 50872, 53220, 56418, 51116, 51633, 51255, 51978, 51255, 55329, 51255, 51154, 51148, 51107, 51148, 51394, 51127, 51037, 50933, 51186, 70306, 59384, 64627, 50848, 56626, 50872, 62241, 58952, 56418, 50812, 51633, 50810, 51978, 50810, 55329, 55582, 50851, 51186, 50844, 51057, 53407, 51116, 51633, 51255, 51978, 51255 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 11, 211, 538, 6, 4246, 10, 4066, 12547, 9, 326, 5638, 18026, 6, 17691, 28430, 6, 22052, 6, 9590, 3863, 6, 8, 2342, 4467, 6, 7630, 14805, 41, 9066, 8, 25306, 5466, 4, 590, 10, 20889, 9, 18461, 13410, 228, 2289, 6, 4760, 12447, 1001, 6, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 30853, 19, 10, 1472, 9, 4149, 8, 9733, 6, 10346, 30, 10, 33215, 16739, 9, 211, 6, 272, 6, 211, 6, 274, 10431, 119, 6, 8, 272, 73, 250, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50416, 51946, 52048, 53339, 52048, 52058, 52048, 51866, 52048, 53084, 52048, 55216, 52048, 50816, 55197, 51224, 52048, 52776, 52048, 51251, 52048, 51088, 52048, 51357, 52048, 50422, 53013, 51000, 51251, 51000, 51107, 77045, 53013, 51000, 51946, 52048, 53339, 52048, 52058, 52048, 51866, 52048, 53084, 52048, 55216, 52048, 50816, 55197, 51224, 52048, 51251, 51000, 51107, 50904, 52776, 52048, 51251, 52048, 51088, 52048, 51357, 52048, 50434, 53013, 51000, 51251, 51000, 51107, 69506, 53157, 51000, 51946, 52048, 53339, 52048, 52058, 52048, 51866, 52048, 53084, 52048, 55216, 52048, 50816, 55197, 51224, 52048, 51154, 51000, 51201, 50904, 52776, 52048, 51251, 52048, 51088, 52048, 51357, 52048, 50442, 54670, 51470, 51301, 51470, 51266, 51174, 50446, 53013, 50984, 51251, 50984, 51107, 50851, 50452, 53157, 51166, 51946, 51000, 53339, 51000, 52058, 51000, 51866, 51000, 53084, 51000, 55216, 66874, 51737, 51224, 51166, 52776, 51000, 51251, 51000, 51088, 51000, 51357, 51000, 51154, 51166, 51201, 50972, 50458, 53013, 50984, 51946, 51166, 53339, 51166, 52058, 51166, 51866, 51166, 53084, 51166, 61053, 66382, 50366, 51901, 51166, 51251, 50984, 51107, 50851, 55528, 51166, 51251, 51166, 51088, 51166, 51357, 51166, 53206, 50982, 56875, 61969, 50816, 60818, 50982, 56703, 74663, 76060, 50416, 54670, 51166, 53780, 52378, 51836, 52378, 52058, 52378, 52698, 52378, 52148, 52378, 56435, 52378, 50816, 60818, 56615, 51224, 52378, 51301, 51166, 51266, 50972, 53215, 52378, 51251, 52378, 51491, 52378, 51093, 52378, 50422, 51886, 51000, 52494, 51000, 51900, 51000, 53013, 50984, 51485, 50904, 51251, 50984, 51107, 50851, 50428, 51886, 51000, 52494, 51000, 51900, 51000, 53780, 52378, 51836, 52378, 51485, 50904, 52058, 52378, 52698, 52378, 52148, 52378, 56435, 52378, 50816, 56615, 51224, 52378, 53215, 52378, 51251, 52378, 51491, 52378, 51093, 52378, 50434, 51886, 51000, 52494, 51000, 51900, 51000, 51485, 69506, 52171, 51000, 52307, 51000, 51802, 51000, 53780, 52188, 51836, 52188, 51509, 50904, 52058, 52188, 52698, 52188, 52148, 52188, 56435, 52188, 50816, 54836, 51224, 52188, 53215, 52188, 51251, 52188, 51491, 52188, 51093, 52188, 50442, 52433, 51470, 52882, 51470, 52285, 51470, 51744, 51174, 50446, 51886, 50984, 52494, 50984, 51900, 50984, 51485, 50851, 50452, 52171, 51166, 52307, 51166, 51802, 51166, 53780, 50941, 51836, 50941, 51509, 50972, 52058, 50941, 52698, 50941, 52148, 50941, 56435, 59461, 51387, 51224, 51079, 53215, 50941, 51251, 50941, 51491, 50941, 51093, 66585, 51886, 50984, 52494, 50984, 51900, 50984, 53780, 51079, 51836, 51079, 51485, 50851, 52058, 51079, 52698, 51079, 52148, 51079, 61053, 77766, 50367, 51901, 51079, 55528, 51079, 51251, 51079, 51491, 51079, 51093, 51079, 53206, 50928, 56875, 59546, 50816, 62653, 50928, 56703, 65843, 75805, 50416, 52433, 51166, 52882, 51166, 52285, 51166, 51946, 51576, 53339, 51576, 51744, 50972, 53175, 51576, 51866, 51576, 53084, 51576, 58524, 51576, 50816, 62653, 54836, 51224, 51576, 54333, 51576, 51088, 51576, 51357, 51576, 51107, 51576, 50422, 51886, 50984, 52494, 50984, 51900, 50984, 53013, 50941, 51485, 50827, 51251, 50941, 51107, 63444, 53013, 50941, 51946, 51576, 53339, 51576, 53175, 51576, 51866, 51576, 53084, 51576, 58524, 51576, 50816, 53957, 51224, 51576, 51251, 50941, 51107, 50864, 54333, 51576, 51088, 51576, 51357, 51576, 51107, 51576, 50434, 53060, 50904, 51088, 50904, 51182, 66116, 55705, 50904, 51946, 51484, 53339, 51484, 53266, 51484, 51866, 51484, 53084, 51484, 55216, 51484, 50816, 53957, 51224, 51484, 51165, 50904, 51394, 50864, 52776, 51484, 51154, 51484, 51357, 51484, 51201, 51484, 50442, 54668, 51174, 51113, 51174, 51284, 51006, 50446, 53060, 50851, 51088, 50851, 51182, 50874, 50452, 55705, 50972, 51946, 50864, 53339, 50864, 53266, 50864, 51866, 50864, 53084, 50864, 55216, 54327, 51166, 51224, 50838, 52776, 50864, 51154, 50864, 51357, 50864, 51201, 50864, 51165, 50972, 51394, 50974, 50458, 53060, 50851, 51946, 50838, 53339, 50838, 53266, 50838, 51866, 50838, 53084, 50838, 55216, 55974, 69415, 50838, 51088, 50851, 51182, 50874, 52776, 50838, 51154, 50838, 51357, 50838, 51201, 50838, 53206, 50891, 56875, 56772, 50816, 56450, 50891, 56703, 64565, 79831, 50416, 54668, 50972, 53064, 51775, 51836, 51775, 51947, 51775, 52384, 51775, 52194, 51775, 53942, 51775, 50816, 56450, 52048, 51224, 51775, 51113, 50972, 51284, 50974, 52143, 51775, 51301, 51775, 51093, 51775, 51266, 51775, 50422, 52367, 50904, 52203, 50904, 51950, 50904, 53060, 50827, 51579, 50886, 74672, 51182, 50874, 50428, 52367, 50904, 52203, 50904, 51950, 50904, 53064, 51775, 51836, 51775, 51579, 50867, 51947, 51775, 52384, 51775, 52194, 51775, 53942, 51775, 50816, 52378, 51224, 51775, 52143, 51775, 51301, 51775, 51093, 51775, 51266, 51775, 50434, 52367, 50904, 52203, 50904, 51950, 50904, 51579, 68273, 53809, 50904, 52849, 50904, 52624, 50904, 52695, 51480, 51836, 51480, 52336, 50867, 51947, 51480, 51968, 51480, 52194, 51480, 53942, 51480, 50816, 52378, 51224, 51480, 52143, 51480, 51426, 51480, 51093, 51480, 51395, 51480, 50442, 53297, 51174, 52614, 51174, 52515, 51174, 52067, 50978, 50446, 52367, 50827, 52203, 50827, 51950, 50827, 51579, 76960, 53809, 50838, 52849, 50838, 52624, 50838, 52695, 50867, 51836, 50867, 52336, 50905, 51947, 50867, 51968, 50867, 52194, 50867, 53942, 55296, 51079, 51224, 50905, 52143, 50867, 51426, 50867, 51093, 50867, 51395, 62309, 52367, 50827, 52203, 50827, 51950, 50827, 52695, 50905, 51836, 50905, 51579, 50844, 51947, 50905, 51968, 50905, 52194, 50905, 53942, 59140, 71191, 50905, 52143, 50905, 79538, 75491, 51395, 50905, 53206, 50863, 56875, 57243, 50816, 54946, 50863, 56703, 57392, 50816, 76965, 53297, 50838, 52614, 50838, 52515, 50838, 52665, 51411, 53339, 51411, 52067, 50892, 52058, 51411, 51866, 51411, 53084, 51411, 54885, 51411, 50816, 54946, 52188, 51224, 51411, 52371, 51411, 51251, 51411, 51357, 51411, 51107, 51411, 50422, 52367, 50827, 52203, 50827, 51950, 50827, 53060, 50867, 51579, 50844, 51088, 50867, 51182, 66765, 53060, 50867, 52665, 51411, 53339, 51411, 52058, 51411, 51866, 51411, 53084, 51411, 54885, 51411, 50816, 52188, 51224, 51411, 51088, 50867, 51182, 50857, 52371, 51411, 51251, 51411, 51357, 51411, 51107, 51411, 50434, 53013, 50867, 51251, 50867, 51107, 67203, 53157, 50867, 51946, 51025, 53339, 51025, 52384, 51025, 51866, 51025, 53084, 51025, 54885, 62390, 51576, 51224, 51025, 51154, 50867, 51201, 50813, 52371, 51025, 51251, 51025, 51088, 51025, 51357, 51025, 50442, 54670, 50978, 51301, 50978, 51266, 69905, 53013, 50844, 51251, 50844, 66337, 50452, 53157, 50892, 51946, 50813, 53339, 50813, 52384, 50813, 51866, 50813, 53084, 50813, 54885, 54494, 50972, 51224, 50845, 52371, 50813, 51251, 69685, 50813, 51357, 50813, 51154, 50892, 51201, 70634, 53013, 50844, 51946, 50845, 53339, 50845, 52384, 50845, 51866, 50845, 53084, 50845, 54885, 56649, 62843, 50845, 51251, 50844, 66337, 52371, 50845, 51251, 50845, 67298, 51357, 50845, 53206, 50825, 56875, 56834, 50816, 54087, 50825, 56703, 55916, 50816, 65533, 54670, 50892, 51946, 51400, 51836, 51400, 52384, 51400, 51866, 51400, 52194, 51400, 56435, 51400, 50816, 54087, 51484, 51224, 51400, 51301, 50892, 51266, 50845, 53215, 51400, 51301, 51400, 51088, 51400 ]
[ 0, 250, 765, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 20183, 4, 20, 38668, 11212, 1974, 10, 2369, 18795, 11, 5, 762, 9, 163, 538, 19, 10, 20889, 9, 5962, 741, 1685, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 1575, 10, 33215, 13931, 9, 230, 10431, 6, 230, 10431, 119, 406, 6, 230, 10431, 119, 6, 2060, 119, 6, 8, 12608, 119, 6, 2351, 10, 3366, 219, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50440, 50746, 50286, 52122, 50746, 50274, 52122, 50746, 50298, 52122, 50441, 50746, 50286, 52122, 50796, 55746, 61514, 52720, 59060, 52720, 57541, 52829, 65445, 52829, 50796, 50455, 50746, 50289, 51243, 50746, 50277, 51243, 50746, 50289, 65527, 76498, 65527, 50796, 50436, 65445, 62321, 57541, 58651, 64906, 57598, 50796, 50447, 50746, 50293, 52204, 50448, 72669, 55597, 50746, 50281, 52204, 50746, 50293, 55597, 59412, 61514, 55174, 50426, 59060, 55174, 65445, 53233, 50746, 50324, 53849, 50796, 50435, 50746, 50327, 52441, 60516, 52441, 52177, 50746, 50331, 54249, 61514, 54270, 50418, 65050, 54249, 50443, 50746, 50286, 53201, 50746, 50298, 53201, 50746, 50286, 52720, 50746, 50274, 52720, 59060, 54270, 50444, 63452, 52783, 57541, 52783, 76501, 63452, 53142, 57541, 53142, 50746, 50329, 52335, 65445, 52335, 50796, 50440, 50746, 50327, 52829, 50441, 60516, 52829, 50746, 50324, 63712, 60948, 63712, 50796, 50441, 76498, 51314, 50442, 50746, 50289, 51314, 50746, 50289, 51080, 50746, 50277, 51080, 66243, 61514, 51922, 75619, 53486, 72190, 53233, 50433, 59060, 51922, 50746, 50291, 53486, 64906, 53233, 50746, 50279, 52168, 50746, 50291, 52168, 50796, 50443, 61514, 61653, 50444, 59060, 61653, 50746, 50324, 52140, 60948, 52140, 50746, 50286, 52204, 50746, 50274, 52204, 50746, 50286, 52829, 50746, 50298, 52829, 66243, 72190, 51680, 64906, 51680, 50456, 50746, 50324, 51080, 60948, 51080, 50796, 50430, 50746, 50327, 51627, 60516, 51283, 50448, 50746, 50329, 51592, 65445, 51680, 50796, 50430, 50746, 50332, 55482, 50746, 50329, 58643, 63452, 58962, 61514, 55482, 57541, 57820, 65445, 55844, 50796, 50441, 50746, 50289, 53849, 50442, 50746, 50277, 56235, 50746, 50289, 58962, 76498, 56004, 50796, 50433, 57541, 52062, 50434, 59060, 52720, 65445, 51637, 50450, 60516, 52337, 55746, 60948, 54143, 50427, 50746, 50288, 51922, 50746, 50300, 57820, 50746, 50288, 54249, 50746, 50276, 51449, 50796, 50448, 65445, 61653, 50449, 57541, 52335, 76498, 52528, 61514, 54171, 50746, 50289, 53486, 50746, 50289, 52528, 50450, 50746, 50277, 53486, 59060, 54171, 50796, 50453, 72190, 51243, 75619, 53201, 64906, 51243, 50746, 50291, 53201, 61514, 52062, 50746, 50327, 53478, 50746, 50279, 52829, 60516, 53478, 50796, 50796, 50430, 50746, 50324, 52212, 60948, 52212, 61514, 51878, 50431, 60516, 51447, 59060, 51878, 75619, 52829, 51601, 61514, 53142, 50416, 59060, 53142, 65445, 51447, 57541, 52783, 50455, 60516, 51447, 75619, 55174, 51601, 50746, 50327, 52337, 50451, 50746, 50279, 53486, 50796, 50796, 50456, 50746, 50327, 51819, 53069, 50746, 50327, 65330, 50431, 50746, 50327, 53313, 50454, 50746, 50327, 55811, 51809, 50746, 50327, 54146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 32076, 13134, 2214, 19, 10, 2842, 9, 247, 6, 4246, 3459, 8669, 6, 2342, 4467, 6, 2236, 1021, 2678, 29, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 17691, 28430, 6, 70, 567, 561, 7, 1045, 10, 15352, 30054, 8, 20425, 1619, 8859, 59, 657, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 9, 13955, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 57333, 50791, 52589, 55508, 53791, 59991, 54865, 72428, 50791, 52871, 50832, 50821, 52111, 50907, 51544, 54413, 53970, 55508, 50812, 80011, 50858, 51999, 67825, 65875, 50832, 50859, 52224, 50874, 51570, 54301, 53791, 63054, 50808, 66651, 50859, 52260, 50912, 50443, 52068, 50444, 68853, 52283, 51022, 74004, 50821, 51899, 54054, 53970, 64620, 50791, 50854, 52145, 79181, 75287, 50832, 50859, 52215, 61243, 51186, 50858, 50799, 51436, 59156, 52589, 55508, 53791, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 54504, 51186, 55417, 54413, 53970, 55508, 59749, 51436, 51111, 80011, 50858, 51999, 67825, 65875, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 54123, 51186, 51227, 51436, 55744, 54301, 53791, 63054, 50808, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 51262, 50835, 51436, 51582, 53153, 51186, 50858, 51262, 51033, 51543, 51033, 51630, 62851, 54054, 53970, 64620, 50791, 50854, 52145, 79181, 75287, 50945, 50887, 51543, 50933, 51262, 59145, 50859, 52215, 50827, 54516, 50940, 51436, 59156, 52589, 55508, 53791, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 54504, 51186, 55271, 54413, 53970, 55508, 59749, 51436, 51111, 80011, 50858, 51999, 67825, 65875, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 54123, 51186, 51290, 51436, 55744, 54301, 53791, 63054, 50808, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 51262, 50835, 51436, 51582, 53153, 51186, 50858, 51262, 51033, 51543, 51033, 51630, 62851, 54054, 53970, 64620, 50791, 50854, 52145, 79181, 75287, 61206, 51543, 50933, 51262, 59145, 50859, 52215, 50827, 50799, 54414, 51110, 51186, 50893, 51436, 59156, 52589, 54413, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 76785, 54414, 53425, 51186, 53734, 54413, 53970, 55508, 56919, 51436, 51111, 80011, 50858, 51999, 67825, 54812, 51187, 52658, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 67560, 54414, 52781, 51186, 50948, 51436, 55744, 53288, 63054, 50808, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 54812, 50809, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 54414, 50897, 51262, 50835, 51436, 51582, 53153, 51186, 51173, 51262, 51033, 51543, 51033, 51630, 62851, 54413, 53970, 64620, 50791, 50854, 52145, 79181, 54812, 50942, 75287, 51543, 50933, 51262, 59145, 50859, 52215, 61243, 54414, 51124, 54516, 50893, 51436, 62187, 51420, 53288, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 50907, 50424, 54414, 54156, 51186, 60257, 54413, 56758, 53393, 62209, 51436, 51111, 80011, 50858, 51999, 67825, 54812, 50836, 65875, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 67560, 54414, 52841, 51186, 50948, 51436, 55744, 53288, 63054, 50858, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 54812, 50820, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 54414, 50855, 51262, 50835, 51436, 51582, 53153, 51186, 50893, 51262, 51033, 51543, 51033, 51630, 66036, 53970, 52390, 64620, 50791, 50854, 52145, 50912, 50454, 55062, 51121, 50455, 75287, 51543, 50933, 51262, 59145, 50859, 52215, 61243, 54812, 51112, 51584, 51227, 52354, 50893, 51425, 51233, 51265, 73323, 52189, 53288, 59991, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 53187, 50821, 52111, 76785, 51567, 63447, 53250, 52034, 53077, 50825, 50945, 53734, 54413, 53970, 55182, 65001, 51425, 51212, 51265, 51212, 80011, 50858, 51999, 67825, 65875, 51513, 50952, 51262, 66034, 68484, 70099, 52224, 67560, 52184, 54459, 53777, 50952, 63042, 51425, 50955, 51265, 56879, 53288, 63054, 50810, 66651, 50859, 52260, 50912, 50442, 51355, 50887, 51262, 69007, 58780, 51425, 51004, 51265, 51004, 51425, 50857, 79101, 51513, 50930, 52068, 50444, 53863, 51112, 51262, 50890, 51355, 50886, 52290, 51566, 68853, 52283, 51022, 50448, 70099, 51262, 50828, 51425, 50825, 51265, 57723, 51513, 50835, 51425, 50844, 51265, 53199, 53153, 62228, 51513, 51033, 51262, 51033, 51355, 66036, 53970, 52390, 50821, 79352, 50854, 52145, 79181, 53407, 52392, 75287, 51265, 50933, 51513, 50974, 52037, 51469, 50832, 50859, 52215, 50827, 52354, 50948, 51425, 51233, 51265, 51233, 51802, 55146, 51373, 53288, 59991, 51950, 50890, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 50812, 51802, 56330, 54007, 52173, 52084, 76785, 51900, 53939, 50945, 55271, 54413, 53970, 54015, 65001, 51425, 51212, 51265, 51212, 50428, 52173, 52633, 50858, 51999, 67825, 51900, 51421, 52658, 51513, 50952, 51262, 66034, 68484, 51355, 59890, 51784, 50890, 52224, 67560, 52186, 50887, 53357, 50948, 51425, 50955, 51265, 56879, 53288, 63054, 50808, 50440, 51784, 52633, 50859, 52260, 50912, 50442, 51355, 50887, 51262, 69007, 58780, 51425, 51004, 51265, 51004, 51425, 50857, 79101, 51513, 50930, 52186, 50890, 52068, 50444, 51262, 50890, 51355, 54870, 58638, 52355, 50887, 52283, 51022, 50448, 70099, 51262, 50828, 51425, 50825, 51265, 57723, 51513, 50835, 51425, 50844, 60317, 52278, 52633, 53153, 63042, 51513, 51033, 51262, 51033, 51355, 62851, 53288, 53970, 78862, 52355, 51421, 50854, 52145, 79181, 52278, 51864, 52863, 51265, 50933, 51513, 67484, 67383, 52714, 50809, 52215, 61243, 54812, 51162, 54649, 50823, 52354, 50893, 51425, 51233, 51265, 73323, 51420, 53288, 59991, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 53187, 50821, 52111, 54504, 54812, 50873, 50945, 55271, 54413, 53970, 54015, 66086, 51425, 51212, 51265, 51212, 80011, 50858, 51999, 67825, 65875, 57147, 50854, 51513, 50952, 51262, 66034, 68484, 70099, 52224, 54123, 54812, 50854, 63042, 51425, 50955, 51265, 56879, 53288, 63054, 50859, 66651, 50859, 52260, 50912, 50442, 51355, 50887, 51262, 69007, 58780, 51425, 51004, 51265, 51004, 51425, 50857, 79101, 51513, 50930, 52068, 50444, 57147, 50862, 51262, 50890, 51355, 54870, 50810, 52283, 51022, 50448, 70099, 51262, 50828, 51425, 50825, 51265, 57723, 54812, 50862, 51513, 50835, 51425, 50844, 51265, 53199, 53153, 63042, 51513, 51033, 51262, 51033, 51355, 66036, 53970, 52390, 50858, 79352, 50854, 52145, 79181, 57147, 50924, 75287, 51265, 50933, 51513, 67484, 50859, 52215, 61243, 54812, 51412, 52354, 50948, 51425, 51233, 51265, 62647, 52589, 53657, 59991, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 53187, 50821, 52111, 76785, 54812, 52688, 50945, 55271, 55508, 53288, 53970, 60950, 51425, 51212, 51265, 51212, 80011, 50858, 51999, 67825, 57147, 50862, 65875, 51513, 50952, 51262, 66034, 68484, 70099, 52224, 67560, 54812, 50833, 53357, 50948, 51425, 50955, 51265, 56879, 53288, 63054, 50812, 66651, 50859, 52260 ]
[ 0, 250, 19448, 5175, 2214, 19, 10, 15352, 30054, 38668, 2236, 483, 6, 2800, 30, 10, 31391, 1672, 9590, 6, 13305, 40286, 6, 38668, 11212, 6, 8, 21072, 4, 20, 1349, 34, 10, 7212, 20889, 9, 14881, 163, 5683, 6, 16, 11, 5, 762, 9, 230, 10431, 538, 6, 8, 5705, 1575, 5, 33215, 16739, 2060, 6, 230, 10431, 6, 8, 274, 10431, 4, 590, 63, 5679, 26709, 5466, 8, 17878, 9, 10, 1619, 16464, 6, 42, 2125, 115, 2773, 465, 63, 317, 11, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 58932, 67109, 50843, 55799, 50843, 57514, 50843, 50820, 51570, 53239, 51456, 52725, 51326, 53473, 53217, 52190, 50846, 51755, 51135, 52502, 50863, 51640, 51655, 56194, 51353, 52435, 51295, 51773, 51183, 55102, 51243, 56806, 51243, 55566, 51243, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52502, 50863, 51773, 50893, 51180, 53522, 50863, 51944, 50893, 51955, 51139, 53522, 53622, 50846, 52435, 51016, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51727, 52392, 52557, 51692, 51515, 51183, 51773, 51353, 55102, 51243, 53686, 51243, 57198, 51243, 51039, 52532, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52532, 50863, 51515, 50893, 51180, 53522, 50863, 52435, 50893, 51955, 51139, 53522, 53622, 50846, 52557, 51016, 51453, 53522, 50834, 51727, 50879, 51755, 51135, 52502, 50863, 51857, 51364, 52745, 51003, 52027, 53454, 51944, 51295, 54669, 51801, 56806, 51801, 57198, 51801, 51039, 53522, 50863, 51544, 53522, 50834, 52745, 54777, 61305, 50834, 51857, 51013, 51944, 51016, 68435, 52502, 78223, 53522, 50863, 51857, 51013, 51944, 50807, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51857, 50879, 51944, 50807, 51755, 51135, 53522, 50863, 51910, 51655, 51039, 52532, 50863, 52745, 50893, 51544, 53522, 50834, 52435, 50893, 61744, 52605, 51230, 52897, 52502, 50834, 52027, 51016, 65662, 50889, 68435, 52532, 53325, 53026, 50369, 52388, 52502, 50863, 51944, 51343, 70244, 55082, 52219, 51502, 51139, 74556, 52502, 53622, 50846, 51453, 58810, 52300, 50834, 64403, 50889, 51755, 51135, 52502, 50863, 51640, 51655, 56194, 51353, 52435, 51295, 51773, 51183, 55102, 51243, 56806, 51243, 55566, 51243, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52502, 50863, 51773, 50893, 51180, 53522, 50863, 51944, 50893, 51955, 51139, 53522, 53622, 50846, 52435, 51016, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51727, 52392, 52557, 51692, 51515, 51183, 51773, 51353, 55102, 51243, 53686, 51243, 57198, 51243, 51039, 52532, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52532, 50863, 51515, 50893, 51180, 53522, 50863, 52435, 50893, 51955, 51139, 53522, 53622, 50846, 52557, 51016, 51453, 53522, 50834, 51727, 50879, 51755, 51135, 52502, 50863, 51857, 51655, 52745, 51003, 52027, 53454, 51944, 51295, 54669, 51801, 56806, 51801, 57198, 51801, 51039, 53522, 50863, 51544, 53522, 50834, 52745, 54777, 61305, 50834, 51944, 51016, 68435, 52502, 78223, 53522, 50863, 51944, 50807, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51944, 50807, 51755, 51135, 53522, 50863, 51857, 51364, 51039, 52532, 50863, 52745, 55341, 52840, 52207, 53522, 50834, 52435, 55214, 52840, 51192, 51230, 52897, 52502, 50834, 51857, 50879, 52027, 51016, 65662, 53912, 52678, 51158, 52166, 52532, 50863, 51857, 51336, 50444, 53016, 51194, 53026, 50369, 52388, 52502, 50863, 51944, 51343, 70244, 55082, 52219, 51502, 51139, 74556, 52502, 53622, 53173, 53016, 50943, 52352, 50963, 52300, 50834, 64403, 51141, 51755, 51135, 52502, 50863, 51640, 51655, 52557, 51295, 52435, 51295, 50420, 52943, 50933, 68807, 53991, 52678, 51174, 51544, 53522, 53063, 61305, 50834, 52557, 51097, 52435, 51097, 68435, 52502, 78223, 53522, 50863, 52557, 51477, 52435, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51857, 51933, 52745, 51353, 52027, 51295, 51944, 51295, 51039, 52532, 52917, 52527, 51173, 68807, 53063, 52678, 51294, 61305, 50834, 52027, 51097, 51944, 51097, 68435, 52532, 53325, 53016, 51003, 68807, 50863, 52027, 51477, 51944, 51477, 51955, 51139, 53522, 53622, 50846, 51640, 55416, 52943, 50943, 68807, 50834, 68906, 51755, 51135, 52502, 50863, 51602, 52392, 52745, 51295, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52745, 51097, 52027, 51097, 68435, 52502, 78223, 53522, 50863, 52027, 51477, 51944, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51602, 50879, 51755, 51135, 53522, 50863, 52458, 51933, 54632, 51295, 52435, 51183, 51515, 51692, 51039, 52532, 52917, 51850, 51421, 53522, 53063, 51850, 50840, 61305, 50834, 54632, 56298, 51850, 53345, 51135, 52532, 50863, 52435, 61112, 51850, 52217, 53522, 52805, 51850, 56880, 51139, 53522, 53622, 50846, 51957, 51013, 51515, 62214, 51850, 51191, 52352, 50963, 52300, 50834, 51755, 51135, 52502, 50863, 51640, 51933, 52557, 51790, 52435, 51790, 51944, 51295, 50420, 52678, 51204, 68807, 50863, 51544, 53522, 53063, 61305, 50834, 51944, 51097, 51773, 51097, 68435, 52502, 78223, 53522, 50863, 52557, 50974, 52435, 50974, 51955, 51139, 53522, 53622, 50846, 51957, 51013, 52557, 51097, 51944, 51097, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51857, 51655, 52745, 51295, 52027, 51790, 50420, 52527, 50840, 61305, 52917, 52527, 50943, 68807, 53063, 61305, 50834, 52745, 57937, 52678, 51111, 52166, 52532, 53325, 53016, 50943, 68807, 50863, 52027, 50974, 51955, 51139, 53522, 53622, 50846, 52027, 51097, 51944, 62214, 52943, 51391, 68807, 50834, 51755, 51135, 52502, 50863, 51602, 52392, 52745, 51353, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52027, 51097, 51944, 51097, 68435, 52502, 78223, 53522, 50863, 52027, 51477, 51944, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 52458, 50879, 51755, 51135, 53522, 50863, 52458, 51364, 54632, 51353, 52435, 51790, 51515, 51790, 51039, 52532, 50863, 51544, 53522, 53063, 51850, 50936, 61305, 50834, 52458, 50879, 68435, 52532, 50863, 51957, 51336, 50444, 51850, 51421, 53522, 50863, 52435, 51477, 51515, 51477, 50450, 51850, 56880, 51139, 53522, 53622, 53173, 51850, 50807, 52352, 50963, 52300, 50834, 51755, 51135, 52502, 50863, 51533, 51655, 52557, 51353, 52027, 51295, 51944, 51295, 50420, 52678, 51218, 68807, 50863, 51544, 53522, 53063, 61305, 50834, 52027, 51097, 51944, 51097, 68435, 52502, 78223, 53522, 50863, 51944, 51477, 51773, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51857, 51364, 52745, 51353, 52027, 51295, 51039, 52532, 52917, 52527, 51060, 68807, 53063, 52678, 50938, 61305, 50834, 51857, 50879, 52027, 52015, 51944, 52015, 68435, 52532, 50863, 51857, 51336, 50444, 52678, 51111, 68807, 52805, 53016, 51194, 65862, 53522, 53622, 53173, 52943, 51077, 68807, 50834, 51755, 51135, 52502, 50863, 51957, 51364, 52435, 52122, 51515, 52122, 51929, 52122, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 51957, 50879, 53369, 51097, 54632, 51097, 68435, 52502, 50863, 51957, 51336, 51180, 53522, 50863, 53369, 51477, 54632, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51957, 51364, 53369, 51477, 54632, 51477, 51039, 52532, 52917, 51850, 52217, 53522, 53063, 51850, 50840, 61305, 50834, 51957, 50879, 53369, 51097, 54632, 57937, 51850, 53243, 51135, 52532, 50863, 51957, 62682, 51850, 50924, 68807, 50863, 53369, 51477, 54632, 51477, 51955, 51139, 53522, 53622, 50846, 51957, 55416, 51850, 50889, 52352, 50963, 52300, 50834, 74898, 51755, 51135, 52502, 50863, 51533, 51364, 52027, 51295, 51944, 51353, 51773, 74905, 52678, 51419, 68807, 50863, 51544, 53522, 53063, 61305, 50834, 51533, 50879, 56194, 51097, 52027, 51097, 68435, 52502, 50863, 51533, 51013, 51180, 53522 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 21072, 6, 38668, 11212, 6, 8, 5730, 2342, 4467, 6, 2351, 10, 2933, 8, 980, 219, 5466, 14, 18, 67, 19448, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 9, 6121, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 163, 428, 6, 12608, 6, 230, 119, 6, 274, 119, 6, 8, 230, 119, 8165, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 57451, 55783, 50873, 54324, 55214, 54142, 50873, 54942, 54993, 55783, 50873, 54324, 56209, 53775, 50873, 52756, 55260, 53807, 50873, 52817, 55764, 56817, 50873, 54467, 50893, 50799, 54876, 51314, 52746, 51127, 51105, 51204, 53527, 51356, 59405, 55215, 52245, 52981, 52402, 50812, 51561, 50943, 51395, 55328, 52755, 53868, 51743, 50812, 51201, 55328, 52905, 51615, 50812, 73905, 51308, 50943, 51182, 63390, 53237, 52139, 55816, 52245, 55001, 51743, 50812, 51201, 54154, 51615, 50812, 51561, 50873, 51182, 50858, 51096, 53406, 54782, 52245, 54248, 52255, 50812, 51629, 54362, 51863, 51103, 52746, 51127, 51394, 51356, 51105, 51346, 59867, 54782, 52245, 52878, 54876, 50972, 51561, 50943, 53527, 62417, 55202, 52245, 52772, 56817, 50972, 73905, 51308, 50943, 51105, 51346, 54467, 56702, 54831, 53237, 52139, 55202, 52245, 53137, 54876, 50972, 51561, 50873, 53527, 62417, 52755, 50835, 50799, 55199, 50972, 52255, 51103, 52477, 51127, 51325, 51204, 53918, 56702, 51663, 54782, 52245, 52981, 60245, 50972, 51512, 50943, 57797, 62417, 52755, 53868, 50856, 52905, 55199, 50972, 51153, 50943, 51639, 50943, 53918, 67664, 53237, 52139, 55816, 52245, 52818, 54876, 50972, 51512, 50873, 51105, 50840, 53527, 62417, 54782, 52245, 52621, 56817, 50972, 51615, 51103, 52477, 51127, 51325, 51346, 54467, 56702, 51663, 54782, 52245, 52878, 54876, 50972, 51512, 50943, 53527, 62417, 55202, 52245, 52772, 56817, 50972, 51153, 50943, 51639, 50943, 51325, 51346, 54467, 56702, 54831, 53237, 52139, 55202, 52245, 53137, 53807, 50972, 51512, 50873, 52817, 62417, 52755, 50835, 50799, 53775, 51314, 51743, 50849, 51876, 51127, 50945, 51204, 52756, 51356, 59867, 54782, 52245, 52981, 51711, 50812, 51144, 50943, 51304, 55328, 52755, 53868, 51863, 50812, 51394, 55328, 52905, 52255, 50812, 51512, 50943, 51153, 50943, 51629, 63390, 53237, 52139, 55816, 52245, 55001, 51863, 50812, 51394, 54154, 52255, 50812, 74043, 51629, 50858, 50964, 53406, 54782, 52245, 54248, 51615, 50812, 51182, 54362, 51743, 51103, 51876, 51127, 51201, 51356, 50945, 51346, 59867, 54782, 52245, 52878, 54876, 51174, 51144, 50943, 53527, 66435, 55202, 52245, 52772, 54876, 51174, 51512, 50943, 51153, 50943, 50945, 51346, 53527, 60777, 54831, 53237, 52139, 55202, 52245, 53137, 54876, 51174, 74043, 53527, 66435, 52755, 50835, 50799, 54876, 50972, 51863, 51103, 51706, 51127, 51186, 51204, 53527, 56702, 51663, 54782, 52245, 52981, 55199, 50972, 51144, 50943, 53918, 62417, 52755, 53868, 50856, 52905, 56817, 50972, 51308, 50943, 51777, 50943, 54467, 67664, 53237, 52139, 55816, 52245, 52818, 54876, 50972, 74043, 51096, 50840, 53527, 62417, 54782, 52245, 52621, 55199, 50972, 51711, 51103, 51964, 51127, 50964, 51346, 53918, 56702, 51663, 54782, 52245, 52878, 54876, 50972, 73905, 53527, 62417, 55202, 52245, 52772, 56817, 50972, 51153, 50943, 51639, 50943, 50964, 51346, 54467, 56702, 54831, 53237, 52139, 55202, 52245, 53137, 53807, 50972, 72931, 52817, 62417, 52755, 50835, 50799, 53775, 51679, 51743, 51103, 51876, 51127, 50945, 51204, 52756, 51362, 59867, 54782, 52245, 52981, 51144, 64835, 52755, 53868, 50856, 52905, 51512, 50943, 51153, 63096, 53237, 52139, 55816, 52245, 52818, 55783, 50972, 74043, 50945, 50840, 54324, 62417, 54782, 52245, 52621, 55862, 50972, 53100, 51103, 53646, 51127, 51228, 51346, 55667, 56702, 51663, 54782, 52245, 52878, 55783, 50972, 51847, 50943, 54324, 62417, 55202, 52245, 52772, 56817, 51108, 51144, 50943, 51512, 50943, 51228, 51346, 54467, 61986, 54831, 53237, 52139, 55202, 52245, 53137, 51847, 60095, 52755, 50835, 50799, 52133, 51307, 52477, 51127, 51325, 51204, 59867, 54782, 52245, 52981, 51561, 64835, 52755, 53868, 50856, 52905, 56817, 51108, 51512, 50943, 51153, 50943, 54467, 51016, 50903, 53237, 52139, 55816, 52245, 52818, 51561, 50873, 51105, 53406, 54782, 52245, 52621, 53775, 50972, 52477, 51127, 51325, 51346, 52756, 56702, 51663, 54782, 52245, 52878, 55783, 50972, 51561, 50943, 54324, 62417, 55202, 52245, 52772, 55862, 51108, 51512, 50943, 51153, 50943, 51325, 51346, 55667, 61986, 54831, 53237, 52139, 55202, 52245, 53137, 51561, 60095, 52755, 50835, 50799, 55783, 51449, 52746, 51127, 51105, 51204, 54324, 51696, 59867, 54782, 52245, 52981, 51561, 64835, 52755, 53868, 50856, 52905, 73905, 51308, 63096, 53237, 52139, 55816, 52245, 52818, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 50890, 51105, 53406, 54782, 52245, 52621, 51743, 50836, 51435, 50937, 52709, 50937, 51201, 50890, 51186, 51346, 59867, 54782, 52245, 52878, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 57259, 55202, 52245, 52772, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 50890, 51186, 51346, 50801, 54831, 53237, 52139, 55202, 52245, 53137, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 57259, 52755, 50835, 50799, 52402, 50836, 52746, 50937, 51639, 50937, 53629, 50937, 51395, 50890, 51105, 58546, 51663, 54782, 52245, 52905, 54254, 55214, 53267, 54993, 54254, 56209, 53000, 55260, 53039, 55764, 54740, 50893, 50799, 53807, 51108, 52746, 51127, 51105, 51204, 54428, 51356, 59405, 55215, 52245, 52981, 52402, 50812, 51561, 50943, 51395, 50858, 56836, 53868, 51743, 50812, 51201, 50858, 57451, 54876, 51108, 51615, 50812, 73905, 51308, 50943, 51182, 63390, 76903, 55816, 52245, 55001, 51743, 50812, 51201, 54154, 51615, 50812, 51561, 50873, 51182, 50858, 51096, 50840, 69659, 52245, 54248, 52255, 50812, 51629, 54362, 60245, 51108, 51863, 51103, 52746, 51127, 51394, 51356, 51105, 51346, 51479, 54966, 52245, 52878, 51561, 50943, 54428, 50893, 60210, 52245, 52772, 58358, 51108, 73905, 51308, 50943, 51105, 51346, 54740, 56702, 54831, 76903, 55202, 52245, 53137, 51561, 50873, 54428, 50893, 56836, 50835, 50799, 55199, 51314, 52255, 51103, 52477, 51127, 51325, 51204, 53647, 50893, 51479, 54966, 52245, 52981, 51512, 50943, 58143, 50893, 56836, 50835, 51510, 52670, 51153, 50943, 51639, 50943, 53647, 50893, 57653, 51877, 55816, 52245, 52818, 51512, 50873, 51105, 50840, 54428, 50893, 69659, 52245, 52621, 56817, 51314, 51615, 51103, 52477, 51127, 51325, 51346, 54740, 50893, 51479, 54966, 52245, 52878, 51512, 50943, 54428, 50893, 60210, 52245, 52772, 51153, 50943, 51639, 50943, 51325, 51346, 54740, 56702, 54831, 76903, 55202, 52245, 53137, 51512, 50873, 53039, 50893, 56836, 50835, 50799, 53775, 51449, 51743, 50849, 51876, 51127, 50945, 51204, 53000, 51356, 51479, 54966, 52245, 52981, 51711, 50812, 51144, 50943, 51304, 50858, 56836, 53868, 51863, 50812, 78486, 57451, 52255, 50812, 51512, 50943, 51153, 50943, 51629, 63390, 76903, 55816, 52245, 55001, 51863, 50812, 51394, 54154, 52255, 50812, 74043, 51629, 50858, 50964, 50840, 69659, 52245, 54248, 51615, 50812, 51182, 54362, 51743, 51103, 51876, 51127, 51201, 51356, 50945, 51346, 51479, 54966, 52245, 52878, 51144, 50943, 54428, 50893, 60210, 52245, 52772, 51512, 50943, 51153, 50943, 50945, 51346, 54428, 56702, 54831, 76903, 55202, 52245, 53137, 74043, 54428, 56285, 52245, 50835, 50799, 54876, 51314, 51863, 51103, 51706, 51127, 51186, 51204, 54428, 50893, 51479, 54966, 52245, 52981, 51144, 50943, 53647, 50893, 56836, 50835, 51510, 52670, 51308, 50943, 51777, 50943, 54740, 50893, 57653, 51877, 55816, 52245, 52818, 74043, 51096, 50840, 54428, 50893, 69659, 52245, 52621, 55199, 51314, 51711, 51103 ]
[ 0, 4688, 9066, 8, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 3459, 9590, 6, 81, 9756, 8669, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 33558, 8, 17627, 17274, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 2635, 20889, 9, 6121, 13410, 228, 2289, 6, 5, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 59649, 51661, 51280, 51364, 51144, 51653, 50945, 51226, 51743, 51363, 52133, 52136, 54720, 51878, 51743, 54373, 52036, 53201, 50423, 51099, 50802, 51615, 64627, 51119, 50975, 51656, 71992, 50945, 55135, 50964, 54292, 51708, 51291, 52176, 51285, 51144, 50993, 50927, 51196, 51743, 51203, 55430, 51627, 53389, 52598, 50447, 51099, 50802, 51615, 66941, 51119, 50975, 51656, 51178, 65237, 51291, 51144, 51653, 51964, 51661, 50964, 51196, 51743, 51363, 53817, 52598, 55793, 52263, 50423, 51099, 51012, 51615, 65005, 51119, 50975, 51656, 51194, 50437, 51876, 51343, 54720, 51965, 50438, 53038, 51343, 51308, 50975, 51096, 51196, 51863, 51194, 58366, 51965, 50447, 51119, 51012, 51656, 65371, 76989, 51615, 51178, 50461, 51280, 51472, 52133, 52263, 59649, 51661, 51144, 50993, 50945, 51541, 51743, 51255, 54720, 52263, 51497, 51527, 50423, 51099, 50802, 51615, 53172, 51497, 51314, 50429, 51119, 50975, 51656, 77066, 50945, 55135, 50964, 54292, 51708, 52195, 51144, 50993, 52176, 51661, 50927, 51285, 51743, 51255, 53389, 51627, 55430, 51878, 51593, 51527, 50447, 51099, 50802, 51615, 55125, 51593, 51314, 50454, 51119, 50975, 51656, 51178, 62673, 50993, 51869, 51472, 51964, 51661, 50964, 51226, 51743, 51255, 55793, 52263, 53817, 52598, 51839, 69321, 51099, 50860, 51615, 50937, 51323, 72104, 51839, 52034, 50429, 51069, 51167, 50430, 51119, 50976, 51656, 67772, 51497, 55246, 51323, 52460, 50438, 51876, 51696, 53038, 52208, 51308, 51184, 51096, 51469, 54720, 51449, 51863, 51293, 58366, 51313, 51188, 51655, 50444, 51497, 56989, 51188, 52727, 61627, 51876, 51291, 51280, 50967, 51144, 51379, 51119, 51215, 50945, 51196, 52133, 52482, 51743, 51309, 51656, 52059, 54720, 52598, 50450, 53789, 51055, 50451, 51280, 50967, 51144, 51379, 51119, 51379, 52133, 52059, 51743, 51309, 51656, 51423, 62404, 51189, 50927, 51285, 55430, 53577, 53789, 68061, 51280, 51215, 51198, 51215, 51144, 51215, 51119, 51286, 51656, 51328, 52133, 52059, 51881, 51797, 51743, 52059, 50417, 54607, 54878, 53138, 53467, 53138, 50948, 50427, 51280, 51110, 51198, 51095, 51144, 51167, 51119, 51354, 52133, 53161, 51881, 53161, 51743, 51309, 51656, 51423, 50429, 54607, 52810, 53138, 55782, 53138, 54930, 51964, 51036, 51280, 51354, 51232, 51379, 51099, 51354, 50964, 51226, 52133, 51423, 52033, 51423, 51615, 51423, 55793, 51748, 50441, 53014, 54247, 53014, 51413, 50450, 51280, 51111, 51232, 51286, 51099, 51173, 52133, 52063, 52033, 51277, 51615, 51753, 50456, 65648, 60603, 51173, 51232, 51388, 51099, 51286, 50964, 51343, 52133, 51753, 52033, 51328, 51615, 64570, 51232, 51030, 51280, 78112, 50911, 52133, 50907, 52033, 51058, 51615, 55544, 51198, 50950, 51881, 50844, 54239, 67980, 50927, 56486, 51144, 74564, 50880, 51743, 50971, 53392, 53574, 51869, 52195, 51099, 51388, 51198, 51192, 51308, 51505, 50953, 51196, 51881, 51277, 51615, 51242, 51863, 51212, 53817, 51627, 53014, 60224, 53014, 58181, 53014, 67876, 51198, 51354, 51099, 51354, 51308, 51483, 51881, 51423, 51615, 51337, 51863, 51337, 50456, 53138, 57661, 54239, 51091, 62404, 50983, 51198, 51175, 51144, 51286, 51119, 51388, 50927, 51196, 51743, 51277, 51656, 51328, 51881, 51642, 55430, 52136, 50426, 51119, 51388, 51198, 51192, 51144, 50911, 51743, 50838, 51881, 51481, 51656, 75925, 54239, 55782, 53392, 53574, 51099, 51175, 51706, 50967, 52746, 51141, 51561, 51286, 51144, 51388, 51105, 51362, 52402, 51277, 51743, 51328, 53181, 52059, 51615, 51642, 57166, 52519, 53014, 61897, 53014, 53401, 53014, 67876, 51706, 51215, 53181, 52059, 50451, 51144, 51286, 51099, 51158, 51561, 51173, 52402, 51753, 51743, 51328, 51615, 51884, 50456, 63046, 53138, 57661, 53014, 51356, 58637, 51364, 51144, 51286, 51099, 51286, 51280, 51192, 50964, 51196, 52133, 51277, 51743, 51328, 51615, 51277, 55793, 51965, 50426, 51280, 51048, 51099, 51290, 52133, 52056, 51615, 51709, 50427, 51144, 51603, 51743, 51775, 50432, 51153, 50860, 51711, 54014, 51876, 51291, 51280, 50967, 51144, 51379, 51119, 51215, 50945, 51274, 52133, 52482, 51743, 51309, 51656, 52059, 54720, 52598, 51743, 51445, 50450, 53789, 51055, 50451, 51280, 50967, 51144, 51379, 51119, 51379, 52133, 52059, 51743, 51309, 51656, 51423, 50457, 50945, 56046, 50964, 50890, 62404, 51189, 50927, 51661, 55430, 53577, 53789, 64521, 51280, 51215, 51198, 51215, 51144, 51215, 51119, 51286, 51656, 51328, 52133, 52059, 51881, 51797, 51743, 52059, 50417, 54607, 54402, 53138, 54104, 53138, 50924, 50427, 51280, 51110, 51198, 51095, 51144, 51167, 51119, 51354, 52133, 53161, 51881, 53161, 51743, 51309, 51656, 51423, 50429, 54607, 52810, 53138, 54002, 53138, 57581, 51964, 51036, 51280, 51354, 51232, 51379, 51099, 51354, 50964, 51362, 52133, 51423, 52033, 51423, 51615, 51423, 55793, 51748, 50439, 51615, 52335, 50441, 53014, 54840, 53014, 51623, 50450, 51280, 51111, 51232, 51286, 51099, 51173, 52133, 52063, 52033, 51277, 51615, 51753, 50456, 65648, 60603, 51173, 51232, 51388, 51099, 51286, 50964, 50980, 52133, 51753, 52033, 51328, 51615, 64570, 51232, 51030, 51280, 78112, 50911, 75990, 52133, 50907, 52033, 51058, 51615, 71714, 50927, 54334, 51198, 50950, 63063, 51881, 50844, 51656, 50974, 54239, 59046, 51144, 50809, 51743, 50971, 53392, 53894, 51869, 52195, 51099, 51388, 51198, 51192, 51308, 51505, 50953, 51356, 51881, 51277, 51615, 51242, 51863, 51212, 53817, 51627, 53014, 50921, 50439, 51863, 63323, 53014, 55354, 53014, 66070, 51198, 51354, 51099, 51354, 51308, 51483, 51881, 51423, 51615, 51337, 51863, 51337, 50456, 53392, 57326, 53392, 51218, 62404, 50983, 51198, 51175, 51144, 51286, 51119, 51388, 50927, 51226, 51743, 51277, 51656, 51328, 51881, 51642, 55430, 52136, 50415, 51656, 62666, 51119, 51388, 51198, 51192, 51144, 50911, 51743, 50838, 51881, 51481, 51656, 75925, 53138, 75405, 50927, 54362, 52746, 51141, 51561, 50967, 51144, 51354, 51099, 50883, 51308, 51167, 51099, 51388, 51105, 51356, 51615, 50825, 51615, 51242, 52402, 52059, 51743, 51337, 51863, 51309, 57166, 52519, 51615, 51801, 53138, 62619, 53014, 57012, 53014, 66563, 51561, 51215, 51144, 51379, 51308, 51379, 51099, 51379, 52402, 51797, 51743, 51309, 51615, 51309, 51863, 51423, 62404, 51364, 51198, 51192, 50927, 51343, 51881, 51481, 55430, 52136, 50415, 51144, 50923, 51308, 50923, 51743, 50905, 51863, 56307, 51198, 51379, 51308, 51354, 51144, 51505, 51743, 51212, 51881, 51309, 51863, 75359, 64483, 54239, 56788, 53392, 55395, 51964, 50983, 51280, 51286, 51099, 51505, 51144, 51012, 50964, 51196, 51743, 50905, 52133, 51277, 51615, 51242, 55793, 52136, 52137, 52151, 53014, 59779, 53014, 75250, 53014, 55149, 51280, 50911, 51144, 50923, 51099, 51012, 52133, 50974, 51743, 50905, 51615, 67763, 53138, 57297, 53014, 51000, 50455, 53392, 67383, 53014, 50893, 60603, 51356, 51964, 51336, 51232, 51527, 51099, 51527, 51133, 51496, 55793, 51490, 52133, 51447, 52033, 51148, 51615, 51244, 50417, 53138, 50820, 53014, 51004, 50418, 53392, 66356, 53014, 56389, 53038, 51653, 51706, 51653, 51144, 50993, 51198, 51483, 58366, 52188, 51863, 51775, 55430, 52056, 54720, 51806, 52735, 51253, 53392, 50930, 52551, 51157, 51498, 51157, 52705, 51564, 64430, 59901, 51096, 51500, 50441, 53392, 53885, 53392, 56312, 53014, 61208, 51964, 51483, 51280, 50975, 73012, 76989, 50964, 51427, 51767, 50889, 71163, 69063 ]
[ 0, 713, 5175, 2214, 6, 278, 11, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 6670, 10, 19448, 648, 2933, 5466, 4, 20, 3459, 8669, 3315, 5, 33301, 6, 7513, 30, 10, 18558, 6, 21677, 32909, 6, 20535, 2810, 6, 8, 326, 5638, 18026, 4, 20, 20889, 16, 12447, 1001, 6, 8, 5, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 381, 406, 6, 83, 406, 6, 381, 406, 6, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50799, 54744, 53002, 54445, 52024, 50801, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 50446, 51068, 52116, 50801, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 57268, 52651, 51520, 56327, 50803, 50799, 54744, 53002, 54570, 53002, 52456, 53002, 51813, 53002, 51855, 53002, 50801, 57759, 51345, 51289, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 50446, 51068, 52116, 50801, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 57268, 52651, 51520, 56327, 50803, 50799, 53169, 53002, 52517, 53002, 52708, 53002, 51855, 53002, 51882, 53002, 52086, 53002, 51251, 55198, 51491, 55198, 50801, 57759, 51345, 51289, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51658, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 60487, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51755, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 50438, 51301, 51009, 51088, 60288, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 60487, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 67378, 53002, 51491, 53002, 50801, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51658, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 60487, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51755, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51658, 69057, 51215, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 50446, 51068, 52116, 50801, 69057, 51215, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 57268, 52651, 51520, 56327, 50803, 50799, 54744, 53002, 54570, 53002, 52456, 53002, 51813, 53002, 51855 ]
[ 0, 250, 15352, 30054, 5175, 25771, 2214, 4246, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 2342, 4467, 6, 21979, 9590, 6, 8, 21072, 6, 2351, 10, 3366, 219, 8, 19448, 5466, 4, 590, 10, 1769, 20889, 9, 8325, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 274, 10431, 538, 8, 24536, 10, 33215, 16739, 9, 230, 10431, 6, 163, 43531, 6, 2060, 6, 230, 119, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51606, 50918, 70051, 79432, 53118, 50800, 51140, 67492, 52152, 55728, 54757, 51835, 70051, 79432, 52566, 51730, 52732, 52296, 53000, 52154, 51620, 53118, 52154, 52765, 54757, 52154, 51628, 70051, 79432, 52566, 52154, 52262, 53000, 52154, 51724, 51565, 50807, 70051, 79432, 53118, 52154, 54789, 54757, 51820, 70051, 79432, 52566, 52154, 52513, 53000, 52154, 51757, 52251, 50807, 53118, 52227, 55000, 54757, 51754, 70051, 79432, 52566, 52154, 52567, 53000, 56392, 78939, 51161, 70051, 79432, 53118, 51730, 52152, 55728, 54757, 51835, 70051, 79432, 52566, 51730, 52732, 52296, 53000, 52154, 51620, 53118, 52154, 52765, 54757, 52154, 51628, 70051, 79432, 52566, 52154, 52262, 53000, 52154, 51724, 70051, 79432, 53118, 52390, 54982, 54789, 54757, 51820, 70051, 79432, 52566, 52154, 52513, 53000, 52154, 51757, 51886, 50807, 53118, 52227, 55000, 54757, 51754, 70051, 79432, 52566, 52154, 52567, 53000, 56392, 50799, 52604, 51036, 57692, 72224, 55052, 50800, 51705, 67492, 52152, 55728, 53267, 51835, 57692, 72224, 54361, 51730, 52732, 52296, 54895, 52154, 51620, 55052, 52154, 52765, 53267, 52154, 51628, 57692, 72224, 54361, 52154, 52262, 54895, 52154, 51724, 57692, 72224, 55052, 52154, 54789, 53267, 51820, 57692, 72224, 54361, 52154, 52513, 54895, 52154, 51757, 55052, 52227, 55000, 53267, 51754, 57692, 72224, 54361, 52154, 52567, 54895, 56392, 74291, 50918, 57692, 72224, 55052, 51730, 52152, 55728, 53267, 51835, 57692, 72224, 54361, 51730, 52732, 52296, 54895, 52154, 51620, 55052, 52154, 52765, 53267, 52154, 51628, 57692, 72224, 54361, 52154, 52262, 54895, 52154, 51724, 52083, 50918, 57692, 72224, 55052, 51907, 66739, 54789, 53267, 51820, 57692, 72224, 54361, 52154, 52513, 54895, 51907, 51412, 50843, 51757, 55052, 52227, 55000, 53267, 51754, 57692, 72224, 54361, 51907, 51074, 50843, 52567, 54895, 56392, 68449, 50918, 57692, 72224, 54969, 50800, 51560, 67492, 52152, 55728, 55052, 51835, 57692, 72224, 53267, 51730, 52732, 52296, 54254, 52154, 51620, 54969, 52154, 52765, 55052, 52154, 51628, 57692, 72224, 53267, 52154, 52262, 54254, 52154, 51724, 52083, 50807, 57692, 72224, 54969, 52154, 54789, 55052, 51820, 57692, 72224, 53267, 52154, 52513, 54254, 52154, 51757, 52251, 50807, 54969, 52227, 55000, 55052, 51754, 57692, 72224, 53267, 52154, 52567, 54254, 56392, 78208, 50918, 57692, 72224, 54969, 51730, 52152, 55728, 55052, 51835, 57692, 72224, 53267, 51730, 52732, 52296, 54254, 52154, 51620, 54969, 52154, 52765, 55052, 52154, 51628, 57692, 72224, 53267, 52154, 52262, 54254, 52154, 51724, 52671, 50807, 57692, 72224, 54969, 52390, 54982, 54789, 55052, 51820, 57692, 72224, 53267, 52154, 52513, 54254, 52154, 51757, 52161, 50807, 54969, 52227, 55000, 55052, 51754, 57692, 72224, 53267, 52154, 52567, 54254, 56392, 68449, 51036, 51629, 51492, 56837, 50800, 52318, 55956, 52152, 55728, 53118, 51835, 54757, 51730, 52732, 52296, 54361, 52154, 51620, 56837, 52154, 52765, 53118, 52154, 51628, 54757, 52154, 52262, 54361, 52154, 51724, 51201, 50918, 56837, 52154, 54789, 53118, 51820, 54757, 52154, 52513, 54361, 52154, 51757, 56837, 52227, 55000, 53118, 51754, 54757, 52154, 52567, 54361, 56392, 50799, 52671, 50918, 51794, 50918, 51488, 50918, 56837, 50800, 51868, 54805, 52152, 55728, 53118, 52734, 54757, 52972, 52732, 52296, 54361, 59301, 51620, 56837, 55638, 52765, 53118, 56661, 51628, 54757, 62759, 52262, 54361, 50363, 51163, 51724, 51752, 50918, 51299, 50918, 76180, 51150, 60114, 66739, 51918, 50843, 52513, 50804, 51412, 50843, 51757, 50852, 51923, 50804, 51074, 50843, 52567, 67935, 68449, 50807, 51491, 52045, 52065, 51492, 51395, 51492, 57215, 50859, 51668, 67492, 52152, 55728, 54969, 52734, 55052, 51747, 52732, 52296, 54029, 54796, 51620, 52083, 50807, 57215, 59301, 52765, 54969, 55309, 51628, 55052, 56944, 52262, 54029, 56395, 51724, 52161, 50918, 57215, 57729, 54789, 54969, 54478, 55052, 57821, 52513, 54029, 50368, 51163, 51757, 57215, 70723, 55000, 54969, 67301, 55052, 50362, 51163, 52567, 54029, 50359, 51163, 50800, 50799, 52251, 54805, 52152, 52115, 50798, 52732, 52296, 50843, 51620, 50843, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 52083, 50807, 51491, 53030, 54982, 51918, 50843, 52513, 50843, 51757, 51606, 50807, 64509, 51375, 54490, 51923, 50843, 52567, 67935, 68449, 50807, 51426, 51492, 51491, 51492, 51395, 51492, 51560, 67492, 52152, 52115, 50798, 52732, 52296, 50843, 51620, 52083, 54982, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 52161, 52045, 50843, 51918, 50843, 52513, 50843, 51757, 50852, 51923, 50843, 52567, 67935, 50799, 51394, 54805, 52152, 52115, 50798, 52732, 52296, 50843, 51620, 50843, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 51600, 60114, 66739, 51918, 50843, 52513, 50804, 51412, 50843, 51757, 50852, 51923, 50804, 51074, 50843, 52567, 67935, 68449, 50807, 51491, 51492, 51357, 51492, 51395, 51492, 55052, 50800, 51522, 67492, 52152, 55728, 54029, 51835, 54254, 51730, 52732, 52296, 54895, 52154, 51620, 52083, 50807, 55052, 52154, 52765, 54029, 52154, 51628, 54254, 52154, 52262, 54895, 52154, 51724, 52161, 50918, 55052, 56593, 54789, 54029, 51820, 54254, 52154, 52513, 54895, 52154, 51757, 55052, 52672, 55000, 54029, 52955, 54254, 56613, 52567, 54895, 59301, 50800, 74291, 50918, 55052, 53197, 52152, 55728, 54029, 54351, 54254, 53835, 52732, 52296, 54895, 56395, 51620, 55052, 56661, 52765, 54029, 61005, 51628, 54254, 64930, 52262, 54895, 62759, 51724, 52251, 50807, 55052, 50366, 51106, 54982, 54789, 54029, 51832, 50444, 54254, 50361, 51163, 52513, 54895, 50359, 51163, 51757, 52083, 54490, 51923, 50843, 52567, 67935, 68449, 50807, 51154, 51161, 51375, 51161, 51794, 51492, 56837, 50800, 52318, 67492, 52152, 55728, 53118, 51835, 54757, 51747, 52732, 52296, 54361, 54796, 51620, 52251, 50807, 56837, 54796, 52765, 53118, 56613, 51628, 54757, 59301, 52262, 54361, 55309, 51724, 52671, 52045, 56837, 55638, 54789, 53118, 53086, 54757, 56661, 52513, 54361, 57821, 51757, 77315, 70809, 56837, 68193, 55000, 53118, 62082, 54757, 72125, 52567, 54361, 50361, 51163, 50800, 50799, 66316, 74681, 56837, 50358, 50966, 52152, 55728, 53118, 77797, 54757, 50358, 50966, 52732, 52296, 54361, 50358, 51163, 51620, 70809, 51488, 54982, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 74681, 51395, 52496, 66739, 51918, 50843, 52513, 50804, 51412, 50843, 51757, 72165, 51201, 54490, 51923, 50804, 51074, 50843, 52567, 67935, 66140, 51036, 51600, 51036, 51426, 51492, 54895, 50800, 51560, 67492, 52152, 55728, 55052, 51835, 53267, 51730, 52732, 52296, 54254, 52154, 51620, 54895, 52154, 52765, 53267, 52154, 51628, 54254, 52154, 52262, 54895, 52154, 51724, 54428, 52154, 54789, 54254, 51820, 54895, 52154, 52513, 54428, 52154, 51757, 58143, 52227, 55000, 54895, 51754, 54428, 52154, 52567, 58143, 56392, 50799, 53598, 50918, 51600, 51036, 51394, 51036, 64156, 51730, 52152, 55728, 58143, 51835, 54428, 51730, 52732, 52296, 54895, 52154, 51620, 58143, 52154, 52765, 54428, 52154, 51628, 54895, 52154, 52262, 54254, 52154, 51724, 52171, 50807, 54428, 52390, 54982, 54789, 54895, 51820, 54254, 52154, 52513, 53267, 52154, 51757, 53598, 50807, 54895, 52227, 55000, 54254, 51754, 53267, 52154, 52567, 55052, 56392, 76955, 50918, 52065, 53520, 51395, 51492, 51558, 51492, 54254, 50800 ]
[ 0, 250, 20902, 8, 15352, 30054, 11057, 12, 15076, 24904, 6, 42, 765, 2214, 22750, 1626, 11098, 8, 1313, 1007, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 23667, 20889, 9, 13950, 13410, 228, 2289, 11, 204, 73, 306, 86, 6, 5, 13305, 3315, 5, 169, 6, 7513, 30, 5, 4066, 23225, 9, 5, 326, 5638, 18026, 6, 5, 5204, 22293, 9, 5, 21979, 9590, 6, 8, 5, 17766, 32618, 9, 5, 21072, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 272, 119, 1176, 406, 6, 211, 119, 1176, 406, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51723, 51009, 51509, 51009, 51793, 52299, 58329, 60625, 51140, 53663, 52061, 51009, 52264, 51009, 53033, 52299, 58329, 70851, 71831, 63355, 51009, 51579, 51009, 52078, 52299, 58329, 60625, 51140, 53663, 52211, 51009, 51641, 51009, 51930, 52299, 58329, 70851, 71831, 69494, 51732, 51509, 51732, 51793, 52299, 58329, 60625, 51140, 54565, 53663, 51793, 67396, 68174, 51793, 51599, 65822, 60200, 52299, 54565, 54107, 51140, 54565, 53663, 51793, 56681, 54565, 54145, 50798, 54565, 52325, 50816, 50802, 56236, 51947, 50824, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54107, 53266, 50802, 51869, 50803, 65460, 51232, 52409, 52030, 53093, 52677, 52125, 53175, 51029, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 70851, 51869, 50803, 65460, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50802, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54226, 53093, 52038, 53175, 51029, 51869, 50803, 65460, 51232, 52409, 52030, 50816, 52125, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 57310, 51947, 52175, 52384, 50802, 51869, 50803, 65460, 51232, 52409, 52325, 52058, 54565, 50802, 71803, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 54226, 51866, 52038, 52698, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52384, 50802, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 57310, 52058, 52175, 53175, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50993, 53366, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 64381, 53093, 51973, 53175, 51352, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 50816, 52125, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 70851, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799, 51947, 50824, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54107, 53266, 50802, 51869, 50803, 65460, 51232, 52409, 52030, 53093, 52677, 52125, 53175, 51029, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 70851, 51869, 50803, 65460, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50802, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54226, 53093, 52038, 53175, 51029, 51869, 50803, 65460, 51232, 52409, 52030, 50816, 52125, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 57310, 51947, 52175, 52384, 50802, 51869, 50803, 65460, 51232, 52409, 52325, 52058, 54565, 50802, 71803, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 54226, 51866, 52038, 52698, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52384, 50802, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 57310, 52058, 52175, 53175, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50993, 53366, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 64381, 53093, 51973, 53175, 51352, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 50816, 52125, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 70851, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799, 52058, 51407, 52176, 50824, 51708, 50824, 51198, 52299, 67263, 54107, 51708, 50803, 69322, 51494, 52409, 52030, 50816, 52125, 52176, 50824, 51708, 50824, 51198, 50824, 51389, 56681, 67263, 58329, 57310, 53175, 52911, 52701, 52116, 52058, 50802, 51708, 50803, 69322, 51494, 52409, 52325, 52384, 65822, 50799, 52698, 50824, 52533, 50824, 52477, 50824, 52040, 52299, 67263, 54107, 52384, 50802, 52477, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52701, 50824, 52533, 50824, 52477, 50824, 52040, 50824, 51984, 56681, 67263, 58329, 70851, 53175, 50824, 52477, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799, 53093, 50824, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 54107, 56173, 50802, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 55870, 52677, 52125, 53542, 51029, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 70851, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 55870, 65822, 50799, 53542, 50802, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 54226, 55870, 52038, 53542, 51352, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 50816, 52125, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 70851, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 50816, 50802, 50799, 52058, 51407, 52176, 50824, 51708, 50824, 51198, 52299, 67263, 54107, 51708, 50803, 69322, 51494, 52409, 52030, 50816, 52125, 52176, 50824, 51708, 50824, 51198, 50824, 51389, 56681, 67263, 58329, 57310, 53175, 52911, 52701, 52116, 52058, 50802, 51708, 50803, 69322, 51494, 52409, 52325, 52384, 65822, 50799, 51702, 50824, 51876, 50824, 51708, 50824, 51280, 52299, 67263, 54107, 52384, 50802, 51876, 50803, 51708, 50803, 65460, 51144, 52409, 52030, 52058, 52677, 52125, 51947, 50824, 51876, 50824, 51708, 50824, 51280, 50824, 51793, 56681, 67263, 58329, 70851, 53175, 50824, 51876, 50803, 51708, 50803, 65460, 51144, 52409, 52325, 50816, 50802, 50799, 53093, 50824, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 54107, 55870, 50824, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 50816, 52125, 53542, 50824, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 51009, 50447, 51247, 51517, 50290, 54980, 53175, 50824, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 50816, 54934, 51279, 50838, 50799, 53093, 50824, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 58297, 51279, 56909, 51247, 51517, 50290, 63030, 62666, 52701, 50824, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 50816, 54241, 51279, 52718, 53175, 51009, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 68071, 51279, 57060, 51247, 51517, 50290, 54980, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 50816, 54934, 51279, 50827, 50799, 51947, 50824, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54107, 53266, 50802, 51869, 50803, 65460, 51232, 52409, 52030, 53093, 52677, 52125, 53175, 51029, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 70851, 51869, 50803, 65460, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50802, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54226, 53093, 52038, 53175, 51029, 51869, 50803, 65460, 51232, 52409, 52030, 50816, 52125, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 57310, 51947, 52175, 52384, 50802, 51869, 50803, 65460, 51232, 52409, 52325, 52058, 54565, 50802, 71803, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 54226, 51866, 52038, 52698, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52384, 50802, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 57310, 52058, 52175, 53175, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50993, 53366, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 64381, 53093, 51973, 53175, 51352, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 50816, 52125, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 70851, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799 ]
[ 0, 713, 8787, 3495, 2125, 6, 278, 11, 10, 7212, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 15352, 30054, 8, 32076, 1619, 4780, 4, 20, 3152, 6757, 8, 3741, 27374, 594, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 6, 150, 5, 20535, 3639, 10, 12298, 27456, 4, 96, 5, 762, 9, 230, 538, 6, 5, 15229, 5705, 25614, 2629, 5, 33215, 16739, 9, 1918, 6, 274, 6, 8, 230, 6, 2351, 10, 1472, 9, 30234, 8, 5863, 1328, 63, 19448, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 57448, 51931, 51544, 50837, 51532, 54860, 50852, 53418, 60748, 50893, 51953, 51192, 51829, 51356, 50444, 63596, 50805, 51859, 66070, 76302, 50805, 51676, 51013, 50903, 53268, 60748, 50805, 51953, 51370, 50895, 51621, 50884, 50799, 62965, 51196, 51859, 51183, 51617, 51127, 51829, 51151, 51132, 57838, 63916, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 51953, 51446, 51676, 51397, 76302, 51196, 51374, 51009, 52093, 51180, 52245, 54492, 63678, 52846, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 51914, 51241, 51859, 51218, 51617, 51310, 63596, 51274, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 51914, 51291, 51859, 51472, 52317, 51472, 69576, 51685, 51727, 51029, 61305, 78651, 50820, 51570, 68619, 56093, 53301, 50829, 51618, 56128, 52087, 52763, 50801, 54831, 51187, 59376, 52087, 56597, 50852, 55773, 53353, 53555, 52317, 50923, 51982, 50911, 51859, 51803, 50791, 56581, 54497, 54814, 50903, 52535, 50837, 50799, 51617, 51291, 51829, 51417, 62965, 51196, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 79714, 52502, 54606, 57974, 51982, 50795, 52317, 51173, 51859, 51056, 69576, 51274, 51727, 51059, 52093, 50444, 51617, 50910, 51829, 52744, 52245, 54492, 61305, 52772, 51914, 50936, 51859, 51030, 52317, 60777, 54831, 51187, 52755, 50837, 51647, 53078, 53017, 52301, 51591, 51859, 51591, 51617, 51790, 62965, 51685, 51132, 56168, 53099, 58892, 51970, 51621, 56603, 52093, 53028, 63916, 52694, 53744, 61305, 52976, 51132, 69277, 54831, 51187, 53099, 80029, 53078, 50835, 51556, 52950, 51953, 50795, 60748, 51192, 51829, 54300, 51338, 51331, 52878, 51859, 50893, 63596, 51192, 51181, 50860, 57653, 56379, 53353, 54492, 72102, 54497, 52772, 51676, 51177, 76302, 51055, 51374, 51072, 51479, 59376, 54497, 54781, 50903, 55033, 55399, 53078, 53017, 51953, 55593, 56581, 54497, 58892, 52622, 50459, 69390, 53522, 56904, 51931, 50799, 62965, 51196, 51859, 51183, 51617, 51183, 51132, 57838, 63916, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 76302, 51196, 51953, 50918, 51676, 51047, 51374, 51300, 52093, 51180, 52245, 54492, 63678, 52846, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 51914, 51191, 63596, 51274, 51859, 50983, 51617, 51218, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 51914, 51285, 51859, 51285, 52317, 51472, 69576, 51685, 51727, 51407, 61305, 78651, 50820, 51570, 68619, 56093, 53353, 50829, 51618, 56128, 53301, 52763, 50801, 54831, 51187, 59376, 53301, 56597, 51859, 52311, 50852, 55773, 52502, 53555, 52317, 50923, 51982, 51575, 56581, 53353, 54814, 50903, 52532, 50837, 50799, 62965, 51196, 51617, 51356, 51829, 51077, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 79714, 52502, 54606, 57974, 51859, 50948, 51982, 50948, 52317, 50911, 69576, 51274, 51727, 51029, 52093, 50444, 51859, 50830, 51617, 50940, 51829, 55744, 52245, 54492, 61305, 52772, 51914, 50948, 51859, 51030, 52317, 60777, 54831, 51187, 52755, 50837, 51647, 53078, 53017, 52301, 51896, 51859, 51358, 51617, 51591, 62965, 51685, 51132, 55115, 53099, 58892, 51970, 51621, 56603, 52093, 53028, 63916, 52694, 53744, 61305, 52976, 51132, 69277, 54831, 51187, 53099, 80029, 53078, 50835, 51556, 52950, 51829, 50802, 60748, 51192, 52328, 50976, 51338, 51331, 52878, 63596, 50806, 52317, 51173, 51982, 51060, 51181, 55964, 51187, 56379, 52245, 54492, 72102, 53301, 52772, 51617, 50936, 76302, 50806, 51829, 51158, 76544, 51479, 59376, 53301, 54781, 50903, 55569, 55399, 53099, 53017, 51676, 50948, 52317, 50924, 60748, 51192, 51338, 54065, 56581, 53301, 58892, 52622, 50459, 50903, 52223, 56689, 53301, 56904, 51931, 50799, 54609, 51448, 52949, 51417, 62965, 51196, 52463, 50918, 51829, 51359, 52301, 53487, 51132, 51300, 58005, 51039, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 55209, 52598, 52328, 51749, 76302, 51196, 53455, 51314, 52836, 51145, 51374, 51009, 52093, 51180, 52245, 54492, 63678, 52846, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 55017, 51961, 54609, 51419, 63596, 51274, 52463, 51189, 53329, 51115, 51982, 51310, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 52463, 51274, 55193, 52512, 54609, 51680, 53503, 51675, 69576, 51685, 51727, 51300, 61305, 78651, 50820, 51570, 68619, 56093, 53099, 50829, 51618, 56128, 53301, 52763, 50801, 54831, 51187, 59376, 53353, 56597, 52463, 58558, 55773, 52790, 53555, 55193, 50802, 57159, 53960, 56581, 54016, 54814, 51240, 52502, 50837, 50799, 54609, 51749, 52949, 51417, 52301, 52263, 53329, 51356, 54753, 51148, 62965, 51196, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 79714, 52502, 54606, 57974, 54609, 50978, 51914, 50977, 53503, 50873, 55193, 50802, 57159, 51192, 69576, 51274, 51727, 51029, 52093, 50444, 54609, 50942, 52949, 50897, 52301, 50878, 53329, 51173, 54753, 64532, 52245, 54492, 61305, 52772, 55017, 50987, 54609, 50917, 53503, 50937, 52836, 50948, 55193, 58378, 54831, 51187, 52755, 50837, 51647, 53078, 53017, 56170, 51183, 54609, 51675, 52949, 51591, 62965, 51685, 52463, 51896, 53329, 51685, 51132, 55115, 53099, 58892, 51970, 51621, 56603, 52093, 53028, 63916, 52694, 53744, 61305, 52976, 51132, 61812, 54831, 51187, 53099, 80029, 53078, 50835, 51556, 52950, 51676, 51014, 55209, 50893, 60748, 51192, 52301, 51356, 51338, 51331, 54735, 51829, 73136, 51859, 50936, 54609, 50923, 63596, 51192, 51181, 55964, 51187, 56379, 53353, 54492, 51829, 50936, 72102, 54497, 52772, 51953, 51033, 53455, 51159, 76302, 50896, 51374, 51072, 51479, 59376, 53301, 54781, 51829, 51014, 50903, 54726, 55399, 52703, 53017, 51914, 55417, 56581, 54016, 58892, 52622, 50459, 51829, 56658, 51406, 56689, 53078, 56904, 51931, 50799, 62965, 51196, 51617, 51077, 52949, 51103, 52463, 51077, 51829, 51655, 52301, 53233, 51132, 51300, 58005, 51039, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 51676, 50807, 76302, 51196, 53455, 51356, 52328, 51077, 51374, 51300, 52093, 51180, 52245, 54492, 63678, 52846, 52836, 51290, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 52328, 50834, 54609, 51679, 51617, 51294, 63596, 51274, 52949, 51115, 51982, 51364, 52463, 51141, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 51982, 51573, 54609, 51397, 53503, 51127, 51914, 51047, 55193, 51407, 69576, 51685, 52463, 52379, 51727, 51407, 61305, 78651, 50820, 51570, 68619, 56093, 53099, 50829, 51618, 56128, 54497, 52763, 51829, 52590, 54831, 51187, 59376, 53301, 56597, 50852, 55773, 52755, 53555, 54609, 50908, 53503, 51030, 51914, 50948, 52317, 51575, 56581, 54497, 54814, 51240, 52502, 50837, 50799, 51829, 51362, 53329, 50983, 52949, 51127, 52301, 51244, 62965, 51196, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 52953, 53329, 50860 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 25771, 4785, 6, 4246, 10, 1855, 4822, 254, 483, 6, 6755, 12547, 6, 20535, 483, 6, 21979, 8669, 6, 8, 38668, 483, 6, 2351, 10, 3366, 219, 8, 980, 219, 5466, 150, 6780, 10, 19448, 8, 1372, 16464, 6, 278, 11, 10, 1769, 20889, 9, 10529, 163, 5683, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 211, 538, 6, 19, 10, 33215, 16739, 9, 272, 6, 211, 6, 83, 6, 211, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 59560, 51116, 50848, 51127, 51926, 52720, 50420, 50847, 64396, 50935, 74888, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 51357, 54430, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 60220, 51801, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50431, 52525, 51388, 50438, 50848, 51080, 51882, 51388, 50444, 68898, 52525, 61860, 50935, 57024, 51855, 51573, 59560, 51116, 50848, 70704, 50847, 51330, 50421, 51813, 62945, 50935, 74888, 51486, 50433, 52456, 51454, 50438, 50848, 63323, 68898, 51813, 61860, 50935, 57024, 52517, 55198, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 68898, 50448, 51357, 75044, 79073, 50460, 51093, 51761, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50431, 51357, 52827, 50438, 50848, 63323, 50847, 59124, 79073, 50460, 51113, 52512, 59560, 51116, 50848, 51127, 51926, 52720, 50420, 50847, 64396, 50935, 74888, 51486, 50433, 51088, 52379, 50438, 50848, 63323, 50847, 59124, 79073, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50438, 50848, 51080, 51113, 52512, 50444, 50847, 59124, 79073, 50459, 51357, 54430, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 56930, 51352, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 68898, 50448, 66757, 54145, 79073, 50461, 61462, 51184, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50432, 52525, 58395, 50848, 51080, 51882, 57816, 68898, 52525, 51454, 50450, 79073, 50455, 51855, 51054, 50461, 56930, 51352, 59560, 51116, 50848, 70704, 50847, 51330, 51813, 62945, 50935, 74888, 51486, 50432, 52456, 61287, 50848, 51080, 50443, 51813, 60969, 68898, 50449, 66757, 54145, 50935, 57024, 52517, 58690, 50461, 61462, 51184, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50460, 75618, 51184, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 74356, 51732, 59560, 51116, 50848, 62592, 50983, 50927, 51274, 50417, 50628, 50418, 50628, 50420, 50847, 51330, 50425, 50628, 50426, 50935, 74888, 51486, 53782, 62415, 51685, 50438, 50848, 63323, 50847, 59124, 79073, 59560, 51116, 50848, 62592, 50983, 50927, 66645, 50847, 64396, 50935, 74888, 51486, 53782, 62415, 51685, 50438, 50848, 51080, 50439, 53169, 57310, 50847, 59124, 79073, 50461, 52517, 56769, 57342, 51116, 50848, 51127, 53310, 50967, 55925, 51653, 59738, 79108, 53305, 50983, 50927, 66645, 50847, 51330, 50424, 53310, 50800, 55925, 50882, 59738, 54856, 50935, 55637, 53182, 53310, 51346, 55925, 51112, 54442, 50980, 55450, 50927, 51685, 50438, 50848, 51080, 50791, 53218, 68898, 54442, 51090, 53310, 51091, 55925, 51541, 50450, 50935, 60223, 50807, 50799, 53310, 51060, 55925, 50976, 59738, 54589, 53305, 50983, 50927, 51274, 50423, 53310, 51538, 55925, 52266, 59738, 52266, 51544, 53182, 55450, 50927, 72328, 51357, 50824, 51107, 50824, 51600, 50824, 51558, 52448, 52728, 78469, 51304, 54565, 62220, 50896, 63535, 50802, 51384, 70287, 51184, 51284, 76347, 53305, 50983, 50945, 66645, 51093, 50803, 51304, 52801, 51357, 50803, 51558, 51973, 51093, 51352, 51304, 75122, 53182, 55450, 50945, 51685, 51570, 50807, 51899, 50807, 63535, 50802, 51384, 70287, 51352, 51284, 75122, 53305, 50983, 50945, 66645, 51093, 50803, 51304, 52801, 51357, 50803, 51558, 51973, 78469, 51304, 52448, 53182, 55450, 50945, 51685, 50438, 51107, 50802, 51384, 51331, 53218, 51093, 50803, 51304, 52911, 51357, 50802, 51558, 50802, 51899, 58031, 51093, 50803, 51304, 52163, 51088, 52442, 51182, 52442, 70321, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 55886, 53305, 50983, 50964, 51274, 50423, 51301, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 50993, 51544, 53182, 51301, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 50993, 55450, 50964, 51685, 51570, 58627, 51301, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 58348, 51301, 50824, 78469, 51266, 50824, 53789, 50824, 53986, 54565, 50807, 66325, 50824, 51266, 50824, 51182, 50824, 51304, 50824, 53986, 50824, 54041, 50824, 57977, 60361, 52218, 76760, 50896, 53214, 51835, 50913, 52296, 50913, 51620, 51093, 50993, 51266, 50993, 51182, 50993, 51304, 50993, 53986, 50993, 54041, 50993, 57977, 60406, 52390, 53365, 50964, 51160, 67654, 51049, 53513, 50816, 50844, 51895, 50994, 52262, 51093, 51059, 51266, 51059, 51182, 51059, 51304, 51059, 53986, 51059, 54041, 51059, 57977, 61940, 52390, 57162, 61078, 78536, 52877, 50913, 50800, 58623, 53491, 51820, 50801, 52085, 50800, 58623, 53721, 51757, 60602, 50802, 57641, 50923, 71409, 56867, 51049, 58792, 51907, 58536, 50896, 54706, 51049, 54194, 60602, 51407, 54041, 52442, 59738, 52442, 57641, 51552, 71409, 51977, 50804, 52390, 50844, 51895, 50994, 50800, 52198, 52390, 57162, 61078, 50800, 57342, 51045, 50847, 78942, 50823, 51088, 52096, 51357, 52121, 51107, 51717, 50913, 52218, 62220, 51285, 53214, 51835, 50848, 68579, 62437, 53607, 52296, 50848, 50961, 50847, 50949, 50935, 53301, 51620, 50847, 78942, 63690, 57361, 52390, 51049, 52765, 50816, 51049, 53513, 50848, 50883, 50847, 79858, 52050, 50844, 51895, 50994, 52262, 50848, 51033, 50847, 79393, 70146, 52390, 57162, 61078, 60997, 68392, 57641, 50923, 71409, 60096, 52831, 50848, 50883, 50935, 68579, 57793, 51820, 50848, 51286, 50847, 51388, 50935, 51388, 61168, 50923, 66106, 56702, 52085, 60997, 51274, 53721, 51757, 57641, 50923, 71409, 56867, 51049, 51907, 58031, 50847, 62437, 61597, 55714, 51049, 54194, 50847, 50949, 50935, 64063, 50930, 57179, 50894, 79048, 55508, 50844, 51895, 50994, 52567, 50848, 50961, 50847, 51031, 50935, 50949, 57179, 51460, 79048, 51235, 50816, 57162, 61078, 50800, 64170, 78942, 63690, 51021, 50913, 52218, 62220, 51285, 53214, 51835, 50848, 50961, 50935, 50961, 50847, 50962, 57641, 51054, 71409, 51343, 50913, 52296, 50913, 60809, 50848, 50883, 50847, 50961, 50935, 55800, 50935, 58971, 52390, 53365, 65530, 51014, 50848, 51030, 67654, 51049, 53513, 50848, 70743, 68579, 56409, 50844, 51895, 50994, 52262, 50847, 50823, 61909, 50848, 60636, 52390, 57162, 61078, 60997, 68392, 57641, 51054, 71409, 51016, 50913, 52831, 50848, 50883, 50847, 53301, 58350, 50935, 52267, 50848, 51388, 69589, 50935, 51388, 50801, 52085, 60997, 51274, 53721, 51757, 57641, 50894, 71409, 55508, 51049, 51907, 55000, 50847, 50949, 50935, 65003, 50930, 57179, 50923, 79048, 56867, 51049, 54194, 50847, 50949, 50935, 69914, 55060, 52390, 50844, 51895, 50994, 57459, 50847, 50949, 50935, 72315, 58561, 57179, 50894, 79048, 53474, 52390, 57162, 61078, 57614, 77564, 52982, 71755, 50823, 51491, 51717, 51357, 52337, 51107, 51717, 57641, 51054, 71409, 51356, 50913, 52218, 72137, 51285, 53214, 51835, 50848, 50880, 50944, 50962, 50935, 57793, 52296, 50944, 51010, 50848, 51286, 50935, 51388 ]
[ 0, 250, 33928, 8, 33558, 3495, 3152, 2214, 4246, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 4401, 757, 3178, 6, 8, 17605, 9590, 4, 20, 2125, 16, 11, 83, 538, 19, 10, 7212, 20889, 9, 8017, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 83, 6, 211, 401, 6, 83, 401, 6, 211, 401, 6, 8, 83, 401, 3639, 7, 5, 17627, 17274, 8, 15352, 30054, 2574, 9, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 60859, 54203, 50903, 51004, 60859, 51693, 51768, 54203, 50903, 61340, 54302, 63878, 54616, 57153, 50873, 61697, 50890, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 54931, 51077, 51897, 56561, 52100, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 60413, 51507, 51030, 51171, 50917, 65713, 62457, 59878, 50873, 53076, 50873, 53552, 52502, 52670, 51507, 76767, 61659, 50889, 77665, 59878, 50873, 53076, 53946, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 57421, 52669, 63430, 50818, 51171, 72742, 50924, 53865, 50833, 51390, 53530, 74457, 54034, 53865, 50833, 51390, 53415, 51507, 50952, 54082, 57968, 51171, 51116, 54817, 50873, 51924, 50873, 80091, 52502, 53127, 57014, 77124, 74434, 50444, 51507, 50925, 50944, 56678, 63650, 50805, 53865, 50833, 51390, 50833, 69577, 52862, 51406, 52502, 50837, 51491, 71252, 65584, 62617, 53865, 51241, 51390, 73324, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 59246, 52918, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 54664, 52862, 74457, 50837, 61697, 50940, 52564, 51627, 54082, 52263, 53163, 52407, 50848, 50818, 51171, 50952, 50946, 51095, 50944, 61659, 50889, 77665, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 50685, 50270, 50854, 59878, 50873, 53076, 55689, 51507, 50812, 51171, 51364, 53552, 52790, 53899, 59878, 50833, 53076, 53049, 51507, 50940, 67208, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 54172, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50429, 59878, 50833, 53076, 53627, 51507, 51033, 50946, 59760, 50849, 59878, 50833, 53076, 53530, 51239, 52790, 54034, 55253, 50873, 52004, 54233, 51507, 50952, 54082, 57968, 51171, 51116, 69577, 50805, 80091, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50833, 51390, 54207, 51507, 50925, 50847, 56678, 58778, 63650, 50805, 53865, 50833, 51390, 50833, 59246, 50889, 53552, 52502, 50837, 51088, 71252, 50873, 51357, 65584, 62617, 53865, 50833, 51390, 53639, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 54817, 50873, 51924, 53946, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 53865, 50873, 51390, 50873, 69577, 52862, 74457, 50837, 61697, 50940, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 51171, 50983, 50946, 51141, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 60413, 51507, 50948, 59878, 50873, 53076, 50873, 53552, 52502, 52670, 51507, 50952, 50944, 61659, 50889, 77665, 59878, 50873, 53076, 53946, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 57421, 51507, 50930, 53865, 50833, 51390, 53530, 74457, 54034, 50685, 50270, 50813, 53865, 50833, 51390, 53415, 51507, 50952, 54082, 57968, 51171, 51116, 54817, 50873, 51924, 50873, 80091, 52502, 53127, 57014, 77124, 74434, 50444, 51507, 50925, 50944, 56678, 63650, 50805, 53865, 50833, 51390, 50833, 69577, 52862, 74457, 50837, 51491, 71252, 65584, 62617, 53865, 51221, 51390, 68031, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 59246, 52918, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 53865, 50833, 51390, 50833, 54664, 52862, 51239, 52535, 54600, 53865, 50833, 51390, 50833, 61697, 50940, 50944, 61659, 50889, 77665, 59878, 50925, 53076, 50925, 54931, 50889, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 50685, 50270, 72250, 59878, 50925, 53076, 60872, 51507, 50812, 52631, 63069, 54082, 52782, 51171, 50917, 65713, 62457, 53552, 52502, 59136, 59878, 50925, 53076, 57499, 51507, 50940, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 69577, 52918, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50429, 59878, 50873, 53076, 54259, 51507, 51033, 50848, 50818, 51171, 72742, 50924, 59246, 50889, 53552, 52502, 54034, 55253, 50873, 52004, 54233, 51507, 50952, 54082, 57968, 51171, 51116, 80091, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50873, 51390, 55322, 51507, 50925, 50847, 56678, 58778, 63650, 50805, 63103, 50889, 54643, 52790, 50837, 51088, 71252, 50873, 51357, 65584, 62617, 53865, 50833, 51390, 53639, 51704, 50952, 54688, 57968, 51332, 51116, 59853, 77644, 73759, 77665, 54817, 50873, 51924, 53946, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 50988, 51116, 50848, 68429, 51704, 50925, 53865, 50873, 51390, 50873, 63103, 52862, 51239, 52790, 54600, 50801, 50841, 61697, 50940, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 50685, 50270, 54611, 51507, 50812, 51171, 50917, 65713, 62457, 59878, 50873, 53076, 50873, 53552, 52790, 52670, 51507, 50940, 50944, 61659, 50889, 77665, 59878, 50873, 53076, 53946, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 57421, 51507, 51033, 50848, 50818, 51171, 72742, 50924, 53865, 50833, 51390, 53530, 54726, 52502, 54034, 53865, 50833, 51390, 53415, 51507, 50952, 54082, 57968, 51171, 51116, 54817, 50833, 51924, 53530, 61971, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50873, 51390, 55322, 51507, 50925, 50944, 56678, 63650, 50805, 69577, 52862, 51406, 52502, 50837, 51491, 71252, 65584, 62617, 53865, 50943, 51390, 56508, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 59246, 52918, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 54664, 52862, 74457, 54600, 54302, 50833, 51590, 50833, 61697, 50940, 52564, 51627, 54082, 52263, 53163, 52407, 51171, 63580, 51173, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 54931, 50889, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 59878, 50833, 53076, 53932, 51507, 50948, 59878, 50833, 53076, 53530, 51239, 52373, 53899, 51171, 54887, 59878, 50833, 53076, 53049, 51507, 50952, 67208, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 69577, 52918, 51041, 52100, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50429, 59878, 50873, 53076, 54259, 51507, 50930, 59246, 50889, 53552, 52790, 54034, 50685, 50270, 50813, 55253, 50873, 52004, 54233, 51507, 50952, 54082, 57968, 51171, 51116, 80091, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50833, 51390, 54207, 51507, 50925, 50847, 56678, 58778, 63650, 50805, 53865, 50833, 51390, 50833, 63103, 50889, 54643, 52790, 50837, 51088, 71252, 50873, 51357, 65584, 62617, 53865, 50833, 51390, 53639, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 54817, 50873, 51924, 53946, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 53865, 50873, 51390, 50873, 63103, 52862, 51239, 52790, 54600, 50852, 50846, 61697, 50940, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 59878, 50833, 53076 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 3152, 2214, 19, 5175, 4785, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 38668, 9590, 6, 21072, 6, 8, 8669, 21040, 2857, 6, 2351, 10, 11739, 9, 2933, 8, 15352, 30054, 1007, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 33215, 16739, 9, 12608, 6, 274, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 76178, 50796, 50444, 58170, 50849, 67956, 57865, 52175, 58170, 50849, 67956, 57865, 52325, 53582, 50849, 73207, 57178, 50802, 50799, 53582, 51124, 52023, 50993, 57178, 50993, 50422, 55867, 51413, 50423, 66299, 73576, 50680, 50281, 50849, 52971, 50802, 56520, 52125, 50680, 50281, 50849, 52971, 50802, 56520, 52313, 75227, 50849, 52160, 50802, 54634, 52175, 75227, 50849, 52160, 50802, 54634, 50802, 72965, 60445, 51068, 60815, 58170, 50849, 67956, 57865, 52175, 58170, 50849, 67956, 57865, 52325, 53582, 50849, 73207, 57178, 50802, 50799, 53582, 51124, 52023, 50993, 57178, 50993, 50422, 55867, 59573, 66299, 66440, 50680, 50281, 50849, 52971, 50802, 56520, 52125, 50680, 50281, 50849, 52971, 50802, 56520, 52313, 75227, 50849, 52160, 50802, 54634, 61492, 60678, 58170, 50849, 67956, 57865, 61492, 60272, 75227, 50849, 52160, 50802, 54634, 61492, 50971, 50799, 53582, 50849, 73207, 57178, 61492, 55105, 58170, 51189, 51969, 51029, 57865, 51029, 51326, 53803, 51456, 58594, 51456, 53860, 51224, 56030, 51224, 50867, 51450, 51100, 50856, 50987, 51769, 51603, 50444, 58170, 50849, 67956, 57865, 52175, 58170, 50849, 67956, 60328, 50918, 57865, 52677, 57594, 60077, 53582, 50849, 73207, 57178, 50802, 50799, 53582, 51124, 52023, 50993, 57178, 55311, 72875, 50845, 51694, 53507, 53387, 50680, 50281, 50849, 52971, 50802, 56520, 51599, 53574, 50680, 50281, 50849, 52971, 50802, 56520, 51599, 56503, 68247, 75227, 50849, 52160, 50802, 54634, 51599, 54255, 50798, 52848, 58170, 50849, 67956, 57865, 52677, 56503, 51923, 75227, 50849, 52160, 50802, 54634, 51599, 50812, 50799, 53582, 50849, 73207, 57178, 51599, 53507, 62229, 58170, 51189, 51969, 51029, 51843, 50795, 57865, 57520, 52710, 53289, 52108, 56503, 55214, 52341, 52108, 53574, 51583, 52149, 51856, 52149, 51245, 52149, 52375, 50983, 54634, 50823, 52428, 51168, 52510, 54634, 51599, 54796, 50809, 51382, 54796, 52485, 52375, 51358, 54634, 51520, 55250, 50809, 50799, 54634, 50823, 52428, 51168, 52628, 54634, 50823, 52428, 51163, 79159, 55250, 52359, 54634, 51300, 52428, 51168, 50809, 51450, 55250, 54790, 50771, 50302, 68722, 51843, 51428, 54796, 52555, 53289, 51626, 55250, 52485, 52341, 50795, 54634, 51520, 55250, 50809, 50799, 52375, 50795, 54634, 51066, 52428, 51168, 52628, 54111, 51428, 54796, 52329, 54455, 50795, 54634, 51779, 55250, 52359, 54634, 51520, 55250, 52444, 51347, 52149, 51856, 52149, 51245, 52149, 54455, 50983, 54160, 50823, 52428, 51168, 52510, 54160, 50860, 52428, 51163, 50809, 51382, 55250, 52485, 53289, 51161, 54160, 51520, 55250, 50809, 50799, 54160, 50823, 52428, 51168, 52628, 54160, 51520, 55250, 79159, 55250, 52359, 54160, 51300, 52428, 51168, 50809, 51450, 55250, 54790, 50771, 50302, 68722, 51843, 51428, 54796, 52555, 53289, 51626, 55250, 52485, 52341, 50795, 54160, 51520, 55250, 50809, 50799, 52375, 50795, 54160, 50975, 52428, 51168, 52628, 54111, 51428, 55250, 52329, 54455, 50795, 54160, 52279, 55250, 52359, 54160, 51520, 55250, 52444, 52023, 51307, 51347, 51307, 51856, 51307, 54455, 50807, 66263, 51520, 55250, 52510, 66263, 50976, 52428, 51168, 52555, 54111, 51626, 55250, 52485, 54111, 50795, 66263, 51520, 55250, 50809, 50799, 66263, 50976, 52428, 51168, 52628, 52375, 51428, 55250, 52329, 66263, 57432, 55250, 52359, 52341, 51161, 52428, 51168, 52444, 51583, 51307, 51188, 51307, 51497, 51307, 56070, 50823, 52428, 51168, 52510, 56070, 51599, 55250, 50809, 51382, 55250, 52485, 56070, 51520, 55250, 50809, 50799, 56070, 50823, 52428, 51168, 52628, 53289, 50795, 56070, 50860, 52428, 51163, 52329, 51622, 52496, 55250, 50809, 51974, 55250, 52444, 51583, 51307, 51856, 51307, 51245, 51307, 53289, 50983, 54634, 51059, 52428, 51168, 50809, 52129, 55250, 50809, 51382, 55250, 52485, 53687, 50807, 54634, 51059, 52428, 51168, 50809, 51528, 55250, 52628, 54455, 51428, 54796, 52329, 54111, 50795, 54634, 52865, 55250, 52359, 52375, 51428, 55250, 52444, 54111, 50795, 54634, 51599, 55250, 52510, 52375, 50795, 54634, 51599, 54796, 53401, 50798, 52848, 53289, 52108, 55250, 52485, 51843, 50807, 54634, 50976, 52428, 51163, 50809, 51528, 54796, 52628, 51843, 50795, 56070, 51599, 54796, 52329, 53289, 50795, 54160, 52677, 55250, 52359, 52341, 50795, 53133, 55720, 55250, 52444, 51583, 52149, 51856, 52149, 51245, 52149, 52375, 50983, 54634, 50823, 50689, 50331, 51730, 55250, 64665, 51603, 50444, 54634, 50802, 61533, 52259, 54796, 52555, 58103, 51907, 54796, 52485, 52375, 51358, 54634, 50803, 55581, 51730, 55250, 50809, 50799, 54634, 50823, 50689, 50331, 51730, 55250, 52628, 54634, 50823, 61533, 52259, 54796, 52329, 58103, 51907, 55250, 52359, 54634, 51300, 55581, 51730, 55250, 52444, 50689, 50331, 51730, 55250, 54790, 50771, 50302, 68722, 51843, 50795, 61533, 52259, 54796, 52555, 53289, 50795, 58103, 51907, 55250, 52485, 52341, 50795, 54634, 50803, 55581, 51730, 55250, 50809, 50799, 52375, 50795, 54634, 51066, 50689, 50331, 51730, 55250, 52628, 54111, 50795, 61533, 51730, 54796, 52329, 54455, 50795, 54634, 50803, 58103, 51907, 55250, 52359, 54634, 50803, 55581, 51730, 55250, 52444, 51347, 52149, 51856, 52149, 51245, 52149, 54455, 50983, 54160, 50823, 59907, 52259, 55250, 52510, 54160, 50860, 58103, 52259, 54796, 52555, 55581, 51907, 55250, 52485, 53289, 51161, 54160, 50803, 54559, 52259, 55250, 50809, 50799, 54160, 50823, 59907, 52259, 55250, 52628, 54160, 50803, 58103, 52259, 55250, 52329, 55581, 51907, 55250, 52359, 54160, 51300, 54559, 52259, 55250, 52444, 59907, 52259, 55250, 54790, 50771, 50302, 68722, 51843, 50795, 58103, 52259, 54796, 52555, 53289, 50795, 55581, 51907, 55250, 52485, 52341, 50795, 54160, 50803, 54559, 51730, 55250, 50809, 50799, 52375, 50795, 54160, 50975, 59907, 51730, 55250, 52628, 54111, 50795, 58103, 52259, 55250, 52329, 54455, 50795, 54160, 50811, 55581, 51907, 55250, 52359, 53687, 50795, 54160, 50803, 54559, 52259, 55250, 52444, 52023, 51307, 51347, 51307, 51856, 51307, 54455, 50807, 66263, 50803, 60528, 52259, 55250, 52510, 66263, 50976, 55581, 52259, 55250, 52555, 54111, 50795, 54559, 51907, 55250, 52485, 54111, 50795, 66263, 50803, 54621, 51730, 55250, 50809, 50799, 66263, 50976, 60528, 52259, 55250, 52628, 52375, 50795, 55581, 52259, 55250, 52329, 66263, 50975, 54559, 51907, 55250, 52359, 52341, 51161, 54621, 50830, 52428, 51168, 52444, 51583, 51307, 51188, 51307, 51497, 51307, 56070, 50823, 61533, 52259, 55250, 52510, 56070, 50802, 55279, 52259, 55250, 52555, 55684, 52467, 55250, 52485, 56070, 50803, 53604, 51730, 55250, 50809, 50799, 56070, 50823, 61533, 52259, 55250, 52628, 53289, 50795, 56070, 50860, 55279, 52259, 54796, 52329, 51622, 50807, 55684, 51907, 55250, 52359, 53604, 51730, 55250, 52444, 51583, 52149, 51856, 52149, 51245, 52149, 53289, 53520, 54634, 51059, 50689, 50331, 52259, 55250, 52510, 61533, 52259, 54796, 52555, 58103, 51907, 55250, 52485, 54634, 51059, 55581, 52259, 55250, 50809, 50799, 50689, 50331, 52259, 55250, 52628, 61533, 52259, 54796, 52329, 54634, 50823, 58103, 51907, 55250, 52359, 54634, 50811, 55581, 52259, 55250, 53307, 54634, 51670, 53574, 54634, 50811, 50689, 50331, 52259, 54465, 54634, 50811, 61533, 52259, 53886, 54634, 50811, 58103, 51907, 53875, 54634, 51029, 55581, 52259, 50836, 52591, 51456, 54252, 51456, 52921, 51224, 56739, 51224, 53193, 51326 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 2382, 3459, 8669, 483, 7513, 30, 13305, 6, 21072, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 13259, 13410, 228, 2289, 6, 2351, 10, 33558, 8, 1372, 5466, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53389, 51714, 51656, 51945, 52430, 51717, 50426, 59454, 53961, 67092, 54356, 59454, 51376, 60165, 54752, 51881, 51353, 51838, 51293, 56617, 51353, 67092, 51376, 55746, 60165, 69096, 54720, 51353, 52033, 51359, 52225, 51151, 55746, 59454, 53961, 67092, 54356, 59454, 51376, 60165, 54752, 53389, 52069, 51656, 52071, 54720, 53651, 67092, 51376, 55746, 60165, 73380, 52187, 50901, 53541, 62174, 52133, 50873, 51711, 50901, 73159, 50866, 50799, 52430, 51945, 55430, 51359, 51881, 52149, 51838, 52250, 50426, 67092, 50866, 73159, 59982, 59454, 54014, 67092, 55040, 67092, 58262, 59454, 63044, 53499, 51359, 60165, 50866, 67092, 50978, 50799, 56617, 51359, 50426, 60165, 63044, 52626, 53380, 73159, 50866, 50799, 54720, 51894, 50426, 67092, 50866, 73159, 59982, 59454, 54014, 67092, 55040, 67092, 58262, 59454, 63044, 56617, 50873, 60165, 50866, 67092, 50978, 50799, 52886, 51103, 52137, 51359, 59439, 51307, 51615, 51353, 50426, 60165, 60676, 53828, 51623, 50796, 62178, 54565, 50896, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 60396, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 54565, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 51479, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 55070, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 59511, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54689, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 59511, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 51479, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 54565, 52448, 55552, 50715, 50340, 52193, 50715, 50339, 51759, 54934, 50715, 50340, 50817, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 50715, 50339, 53432, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 52715, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 54565, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 50715, 50337, 50976, 51479, 55804, 64343, 75049, 57288, 52750, 52302, 79589, 54589, 54381, 50843, 54504, 72035, 50715, 50335, 65424, 60406, 52409, 52448, 52726, 51443, 50811, 61126, 52590, 51052, 52676, 70593, 79589, 76448, 54589, 55380, 50852, 52175, 50801, 53694, 58807, 67396, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 54589, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 51059, 50816, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 50715, 50337, 50976, 51479, 55804, 64343, 75049, 57288, 52750, 53213, 79589, 54589, 54381, 50843, 54504, 72035, 50715, 50335, 52590, 60406, 52409, 52448, 52726, 51443, 50811, 61126, 52590, 51052, 52676, 70593, 79589, 60288, 54589, 55380, 50852, 52175, 50801, 51812, 58807, 63759, 54589, 55552, 50715, 50340, 52193, 50715, 50339, 51759, 51732, 50459, 50715, 50340, 50817, 52534, 50811, 51810, 50811, 64138, 50811, 50715, 50339, 53432, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 60396, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 51059, 50816, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 55070, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 54565, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 52750, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54689, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 63759, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 63759, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 52750, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 52715, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 65374, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 57474, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 51069, 55075, 54589, 55380, 50852, 52175, 50801, 53694, 58807, 54565, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 52750, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 54589, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 65374, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 51069, 55075, 54589, 55380, 50852, 52175, 50801, 51812, 58807, 52677, 54589, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 60396, 52726, 51069, 52651, 51052, 52952, 56372, 51869, 51226, 52040, 51362, 51280, 51029, 51232, 51552, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 54565, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 50715, 50337, 50976, 51708, 51696, 51280, 52208, 51232, 51696, 51479, 55804, 64343, 75049, 57288, 52750, 53213, 79589, 54589, 54381, 50843, 55070, 72035, 50715, 50335, 65424, 60406, 52409, 52448, 52726, 51443, 50811 ]
[ 0, 250, 15352, 30054, 3495, 2214, 11, 274, 538, 6, 4246, 10, 13305, 14, 1974, 10, 13931, 9, 211, 119, 6, 272, 119, 6, 163, 428, 6, 8, 230, 40286, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 2905, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50906, 51455, 50295, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 54578, 61739, 55382, 50956, 59258, 54975, 50899, 60006, 55247, 50900, 58421, 50915, 55694, 51455, 50295, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 56178, 51151, 50861, 51151, 50876, 51151, 50438, 51081, 53999, 50999, 51115, 56807, 61861, 51422, 50871, 51422, 50906, 68988, 50931, 53387, 50931, 51047, 56415, 50915, 55694, 51151, 50438, 51081, 53999, 50999, 51115, 58479, 51047, 51027, 51151, 50900, 51151, 50956, 51151, 50861, 51151, 50438, 50999, 55247, 50951, 50915, 60497, 60045, 51151, 50899, 51151, 50989, 51151, 50426, 50951, 53387, 50999, 51115, 50456, 50902, 50845, 60820, 61861, 51151, 50861, 51151, 50906, 51151, 50426, 51062, 53387, 51081, 51047, 60820, 61861, 51151, 50871, 51151, 50861, 51151, 50906, 51151, 50426, 51062, 53387, 51081, 55247, 50931, 53586, 50951, 52644, 54206, 51422, 50956, 51422, 50861, 51422, 50906, 51422, 65851, 50915, 57923, 51151, 50432, 50951, 53264, 50999, 53999, 51081, 51115, 56807, 51047, 50900, 51151, 50956, 51151, 50861, 51151, 50438, 50999, 55247, 51081, 50915, 58479, 60045, 51151, 50871, 51151, 50877, 51151, 50426, 50951, 53387, 50931, 51115, 76496, 50845, 59733, 61861, 51151, 50871, 51151, 50877, 51151, 50876, 51151, 50426, 51062, 54975, 51062, 55247, 51062, 53586, 51146, 50845, 59733, 58134, 51151, 50861, 51151, 50906, 51151, 50426, 51081, 53387, 51081, 51115, 50456, 51081, 50845, 60820, 66715, 52644, 50861, 52644, 50906, 52644, 50426, 50999, 54975, 50951, 55247, 50999, 53586, 51081, 51714, 61627, 74655, 50456, 51081, 50845, 60820, 58134, 52644, 50877, 52644, 50876, 52644, 50426, 51062, 54975, 51062, 55247, 50931, 53586, 50931, 52919, 50796, 63931, 53264, 50900, 58421, 55247, 50871, 50915, 56178, 51047, 65218, 72421, 50951, 60610, 50999, 66715, 51047, 65218, 50906, 69600, 51081, 53586, 50999, 51115, 54206, 51047, 50989, 51047, 67663, 60718, 54975, 51146, 61861, 51047, 50989, 51047, 67663, 50450, 51062, 50915, 59733, 61861, 51047, 65218, 50906, 62479, 51081, 53387, 51081, 52644, 55898, 51047, 65218, 72421, 54206, 51047, 67137, 68275, 55898, 51047, 67137, 67663, 76496, 50845, 56807, 66715, 51047, 65218, 50906, 62479, 51081, 54975, 51081, 66715, 51047, 65218, 50906, 69600, 51081, 53586, 50999, 51115, 54206, 51047, 50989, 51047, 67663, 60718, 54975, 51146, 61861, 51047, 50989, 51047, 67663, 50450, 51062, 50915, 59733, 61861, 51047, 65218, 50906, 62479, 51146, 53387, 51146, 51151, 55898, 51047, 65218, 72421, 54206, 51047, 65218, 72421, 50432, 51146, 53264, 51146, 59537, 51047, 65218, 50906, 63897, 51146, 53562, 51062, 53586, 51081, 50845, 56807, 60045, 51047, 50956, 51047, 50861, 62479, 51081, 53387, 51081, 51047, 55203, 51047, 50956, 51047, 65218, 56229, 61861, 51047, 67137, 50906, 62479, 51081, 53387, 51081, 51047, 55898, 51047, 67137, 72421, 56807, 66715, 51047, 65218, 50906, 62479, 50999, 53387, 51081, 51115, 64574, 51047, 65218, 50906, 69600, 51081, 50915, 56807, 66715, 51047, 65218, 50906, 62479, 50999, 53387, 51081, 51115, 64574, 51047, 65218, 50906, 69600, 51081, 53586, 51062, 50845, 59733, 58134, 51047, 67663, 50876, 62479, 50931, 53387, 50931, 52919, 57019, 51047, 67663, 68275, 54578, 51047, 72421, 50876, 60610, 51062, 58134, 51047, 67663, 68275, 50450, 50931, 53586, 50931, 51047, 54578, 51151, 50877, 51151, 50876, 51151, 77431, 51455, 50330, 53264, 50951, 51455, 50331, 53999, 50931, 51455, 50330, 53562, 51001, 67996, 53586, 50902, 74191, 50845, 55881, 60006, 64951, 55382, 50931, 51455, 50330, 79004, 57173, 50931, 51047, 51146, 51047, 57019, 55247, 50997, 57414, 50931, 51455, 50330, 50845, 54197, 69928, 80082, 55382, 50902, 74191, 63327, 57173, 51001, 51115, 51062, 51115, 57019, 55247, 50900, 61739, 51619, 50326, 50915, 55881, 60006, 64951, 55382, 50931, 51455, 50330, 79004, 57173, 50931, 51047, 51146, 51047, 57019, 55247, 50997, 57414, 50931, 51455, 50330, 50845, 54197, 69928, 80082, 55382, 50902, 74191, 63327, 57173, 51001, 51115, 51062, 51115, 57019, 55247, 50900, 61739, 51619, 50326, 50915, 54955, 51047, 50997, 51047, 74169, 51339, 51452, 50438, 51378, 51047, 51026, 51047, 50997, 51047, 50899, 63897, 51146, 53562, 51062, 50915, 54197, 51047, 51026, 51047, 50997, 51047, 74169, 51081, 51422, 50438, 51315, 51047, 51026, 51047, 50997, 51047, 50899, 69600, 50931, 53586, 50931, 50845, 56807, 51619, 50295, 51717, 51026, 51717, 50997, 51717, 50899, 51717, 50426, 51146, 53387, 50951, 70703, 50931, 53586, 50951, 51714, 76501, 50931, 51455, 50330, 53586, 50931, 51455, 50330, 50845, 56807, 51619, 50331, 60045, 51151, 50956, 51151, 50861, 51151, 50426, 50931, 51619, 50330, 54975, 51001, 80082, 55247, 50931, 51455, 50330, 53586, 51001, 53295, 51062, 53295, 56178, 51047, 50906, 60610, 50956, 51047, 72421, 53975, 51151, 50871, 51151, 50877, 51151, 50438, 51146, 53999, 51062, 53562, 51081, 50915, 54955, 51047, 50997, 51047, 74169, 51339, 51452, 50438, 51378, 51047, 51026, 51047, 50997, 51047, 50899, 63897, 51146, 53562, 51062, 50915, 54197, 51047, 51026, 51047, 50997, 51047, 74169, 51081, 51422, 50438, 51315, 51047, 51026, 51047, 50997, 51047, 50899, 69600, 50931, 53586, 50931, 50845, 56807, 51619, 50295, 51717, 51026, 51717, 50997, 51717, 50899, 51717, 50426, 51146, 53387, 50951, 70703, 50931, 53586, 50951, 51714, 76501, 50931, 51455, 50330, 53586, 50931, 51455, 50330, 50845, 56807, 51619, 50331, 60045, 51151, 50956, 51151, 50861, 51151, 50426, 50931, 51619, 50330, 54975, 51001, 80082, 55247, 50931, 51455, 50330, 53586, 51001, 53295, 51062, 53295, 56178, 51047, 50906, 60610, 50956, 51047, 72421, 53975, 51151, 50871, 51151, 50877, 51151, 50438, 51146, 53999, 51062, 53562, 51081, 50915, 55694, 74191, 51455, 50295, 51151, 50997, 51151, 50871, 51151, 60564, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 54578, 61739, 55382, 50956, 59258, 54975, 50899, 60006, 55247, 50900, 58421, 50915, 55694, 51455, 50295, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 54578, 61739, 55382, 50956, 59258, 54975, 50899, 60006, 55247, 50900, 58421, 50915, 53975, 51151, 50416, 50899, 51151, 74850, 51151, 50419, 50906, 51151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 15352, 30054, 8, 20425, 3495, 2214, 6, 30291, 19, 5175, 4785, 6, 22750, 1626, 11098, 1328, 63, 7212, 20889, 8, 2216, 132, 73, 306, 86, 6543, 4, 20, 20535, 2810, 6, 4246, 38668, 20535, 8, 32909, 6, 1239, 5, 483, 6, 150, 21072, 8, 3459, 9590, 694, 10, 2705, 41063, 15796, 4811, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 5, 2214, 26658, 149, 10, 33215, 13931, 9, 381, 6, 1918, 406, 6, 274, 73, 534, 6, 1918, 406, 6, 8, 163, 43531, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 74734, 50426, 51509, 50883, 51713, 55212, 51509, 50851, 51713, 69227, 51579, 50859, 51776, 68974, 52336, 50808, 52366, 50808, 51057, 50945, 51045, 52067, 51352, 52336, 51004, 52002, 51352, 52366, 63015, 51012, 51956, 50415, 50913, 50867, 71787, 52825, 50839, 54010, 50818, 57463, 51187, 58235, 52105, 50423, 50945, 54749, 66890, 51133, 50880, 79211, 50811, 51532, 52925, 51133, 50821, 52825, 50855, 54010, 50887, 57463, 50809, 61246, 50882, 51556, 50839, 51057, 50945, 66149, 64522, 61240, 51030, 51402, 53203, 52825, 50841, 54010, 50818, 57463, 51239, 56818, 50945, 68133, 54534, 72533, 51133, 54149, 51509, 50818, 51713, 71728, 51467, 53831, 54935, 51509, 50844, 51713, 50844, 52105, 50431, 78987, 52067, 50858, 52002, 54154, 52825, 50839, 54010, 50809, 57463, 51044, 53618, 51010, 50434, 52629, 50822, 52306, 50822, 51556, 50835, 51057, 51186, 51030, 53954, 50807, 52991, 61559, 51406, 54200, 51138, 51402, 53023, 55491, 50840, 52825, 50839, 62102, 50829, 50679, 50332, 51464, 58235, 51186, 50836, 51510, 53871, 72533, 52336, 50943, 52366, 57908, 50945, 51010, 51782, 53290, 53889, 50811, 51532, 59483, 50945, 55736, 52825, 50839, 55491, 50809, 62102, 50809, 65906, 51010, 51556, 58855, 51186, 50936, 51057, 51509, 51116, 51713, 51116, 50913, 51437, 52816, 51021, 69884, 52825, 50841, 55491, 50809, 62102, 50887, 52261, 50422, 51186, 66693, 64863, 80048, 51011, 63098, 51509, 50884, 51713, 51179, 71728, 53396, 54935, 51509, 50907, 51713, 50907, 52105, 50431, 60357, 51579, 50858, 52825, 50841, 55491, 50890, 62102, 50895, 51776, 50858, 52093, 51974, 51010, 50434, 52336, 50812, 52366, 51420, 56305, 69124, 52067, 51010, 52002, 62499, 50829, 67014, 52816, 51138, 50416, 51762, 50419, 52825, 50828, 54010, 50961, 57463, 51135, 53576, 52067, 51010, 52002, 51010, 50421, 50945, 60170, 65664, 52112, 50425, 50964, 50385, 53830, 52928, 52067, 50940, 52002, 55417, 52538, 61347, 52112, 50429, 51579, 50800, 51776, 58812, 50964, 50890, 52067, 50942, 52002, 50942, 53005, 52927, 52825, 50846, 54010, 50961, 57463, 69873, 51579, 50800, 51776, 77993, 56359, 50913, 50835, 51057, 50945, 51138, 51509, 51235, 51713, 51235, 76935, 51138, 51402, 63244, 52825, 50841, 54010, 50890, 57463, 68709, 57466, 50945, 55081, 50798, 50894, 51471, 50425, 51509, 50808, 51713, 52476, 50599, 52762, 50964, 55531, 51156, 59551, 51641, 50894, 52099, 50894, 51532, 56657, 75990, 51485, 50808, 51648, 52559, 52825, 50839, 54010, 50890, 57463, 53579, 51010, 52105, 50434, 51641, 50859, 52099, 52189, 58694, 51509, 52369, 51713, 52369, 51057, 51186, 50936, 50913, 51437, 53871, 51138, 75502, 52825, 50841, 55491, 50895, 62102, 51135, 56818, 50798, 60134, 51186, 51041, 53855, 50945, 55531, 50926, 50598, 51464, 50841, 51532, 59476, 52825, 50828, 55491, 50961, 62102, 51041, 52844, 50945, 54451, 51010, 50434, 52112, 50437, 57221, 51057, 51186, 60096, 53111, 70426, 51762, 62999, 68159, 52825, 50841, 55491, 50883, 62102, 51135, 60161, 51186, 50821, 52825, 50864, 62102, 50840, 55491, 51187, 54446, 50798, 51066, 50425, 52834, 51464, 53855, 51011, 50923, 51553, 64262, 51509, 50817, 51713, 62938, 51956, 50429, 51509, 50827, 51713, 52984, 50578, 62941, 52825, 50813, 55491, 50961, 62102, 51135, 64572, 53917, 60357, 51579, 50821, 51776, 62500, 52336, 51033, 52366, 51033, 51326, 50886, 52008, 50437, 50913, 50834, 51057, 59133, 52067, 51352, 52002, 51352, 51206, 51670, 51138, 50419, 50791, 56621, 54010, 50880, 52825, 50820, 57463, 60480, 73515, 50945, 53871, 56519, 51133, 52633, 74811, 54494, 50811, 51532, 59476, 50791, 52209, 51133, 50894, 52825, 50841, 54010, 50883, 57463, 54749, 51010, 50434, 52105, 51057, 50945, 54444, 52245, 54366, 51030, 51402, 53227, 52825, 50841, 54010, 50883, 57463, 51239, 60161, 52825, 50837, 54010, 50862, 57463, 54316, 50945, 52816, 51052, 52437, 51509, 50961, 51713, 51139, 53889, 50926, 50599, 55477, 51133, 60579, 51509, 50844, 51713, 50844, 51762, 50431, 52067, 50950, 52825, 50834, 54010, 50890, 57463, 50895, 52002, 56896, 51133, 51864, 54749, 56861, 52629, 50810, 52306, 50810, 51556, 58694, 53954, 50914, 52991, 50914, 51057, 51186, 57036, 53099, 54534, 51138, 69884, 52825, 50834, 55491, 50809, 62102, 51179, 53744, 51186, 52675, 54749, 54856, 67518, 52336, 51157, 52366, 51157, 53867, 50862, 52093, 77627, 50811, 51532, 52927, 50945, 50930, 52825, 50839, 55491, 50895, 62102, 51179, 52816, 75964, 50846, 51057, 51186, 51033, 51509, 51235, 51713, 72706, 63724, 50867, 70561, 70486, 53576, 52825, 50841, 55491, 50818, 62102, 51044, 56818, 51186, 50800, 52825, 50863, 55491, 50839, 62102, 75090, 54739, 57615, 51509, 50884, 51713, 53150, 51011, 51030, 52834, 51464, 61749, 50816, 61347, 51509, 50844, 51713, 50844, 51532, 56999, 65082, 51579, 50800, 52825, 50834, 55491, 50895, 62102, 50884, 51776, 51628, 61246, 67725, 52336, 50800, 52366, 77993, 59653, 76976, 52067, 50930, 52002, 50930, 51057, 50913, 55234, 57036, 75179, 63244, 52067, 50880, 52002, 54658, 52825, 50839, 54010, 50883, 57463, 51135, 56493, 50945, 51044, 55795, 57221, 50425, 50964, 50385, 53830, 52762, 52067, 50859, 52002, 54015, 51156, 71362, 51579, 50808, 51776, 50808, 51532, 60426, 50964, 50890, 52067, 50955, 52002, 56879, 52975, 52825, 50839, 54010, 50883, 57463, 54749, 57485, 51579, 50844, 51776, 50844, 52105, 50437, 50945, 51021, 51057, 51509, 51427, 51713, 51427, 50913, 54220, 55130, 51138, 51402, 63094, 52825, 50841, 54010, 50883, 57463, 51135, 56818, 50945, 52923, 51052, 57550, 51133, 57480, 51509, 50884, 51713, 50383, 53290, 53831, 51156, 56499, 51509, 50810, 51713, 51373, 59483, 77855, 51579, 50837, 52067, 50844, 51776, 50837, 52002, 50844, 66987, 52726, 52825, 50841, 54010, 50961, 57463, 60063, 52629, 50925, 52306, 50925, 51762, 50437, 52336, 52195, 52366, 52195, 50913, 50864, 51057, 51186, 60909, 52715, 73628, 63244, 51956, 50420, 52825, 50834, 55491, 50818, 62102, 61710, 51186, 52675, 53423, 50798, 50882, 50425, 50945, 50384, 53830, 50825, 51694, 51156, 56499, 51468, 50431, 50945, 54334, 52825, 50839, 55491, 50884, 62102, 53871, 50962, 68329, 51468, 50437, 51186, 51010, 51057, 52336, 50817, 52366, 52220, 53607, 50904, 51931, 51402, 54946, 52244, 51186, 50855, 52336, 51010, 52825, 50841, 55491, 50818, 62102, 50818, 52366, 52853, 51258, 50422, 50945, 56731, 51509, 79256, 51730, 50975, 56457, 51271, 51010, 53954, 51014, 52991, 63637, 60401, 51916, 50828, 73508, 52825, 50839, 55491, 50884, 62102, 51044, 50841, 51057, 51186, 57277, 51030, 50913, 66182, 52825, 50829, 55491, 50828, 62102, 57987, 50791, 56493, 51186, 55234, 80048, 50945, 51421, 52992, 52834, 56061, 54935, 51471, 50431, 50945, 51730, 56896, 52825, 50834, 55491, 50846, 62102, 51187, 50884, 51556, 50846, 51057, 51186, 51100, 50913, 55234, 52516, 73486, 63094, 52825, 50820, 55491, 50818, 62102, 59335, 60170, 51186, 53071, 50950, 51510, 55800, 51011, 57438, 50926, 50598, 55316, 50884, 51532, 62357, 58918, 52825, 50839, 55491, 50895, 62102, 78956, 54739, 50930, 51556, 50841, 51057, 59133, 50913, 54438, 55968, 73486, 52432, 52825, 50839, 54010, 50818, 57463, 51239, 56493, 50945, 53852, 50894, 51510, 55800, 50964, 64406, 55164, 51156, 50884, 51532, 62357, 50964, 53974, 52825, 50820, 54010, 50818, 57463, 53756, 52853, 73939, 50818, 51057, 50945, 66149, 54438, 51033, 52112, 51402 ]
[ 0, 250, 15352, 30054, 8, 20425, 3152, 8, 3495, 2214, 4246, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 83, 3694, 19, 10, 20902, 27841, 139, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 1372, 8, 17627, 17274, 6711, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50432, 51214, 51101, 51026, 59238, 52090, 66587, 50860, 51570, 52510, 51247, 51619, 50297, 51192, 50900, 50795, 51069, 55195, 66888, 58317, 50964, 62620, 51120, 50991, 51027, 50991, 50927, 54209, 59739, 50823, 58359, 51894, 50927, 53561, 51120, 51884, 51027, 52188, 50847, 51603, 50935, 66808, 51085, 53835, 60406, 55886, 53974, 51120, 50955, 51027, 51210, 50872, 54014, 60087, 50948, 50927, 68361, 55188, 54811, 51120, 51712, 50301, 56144, 55125, 50848, 61174, 57432, 55188, 63695, 51120, 51328, 51027, 51328, 50872, 51274, 58359, 51419, 50927, 68078, 54589, 51505, 68260, 52059, 51027, 51642, 57189, 55998, 57710, 54589, 52030, 51120, 73387, 51242, 50946, 54137, 65998, 50927, 68539, 54589, 66066, 51120, 51328, 51027, 51328, 50848, 52201, 53083, 50798, 57432, 55188, 62620, 51120, 73387, 51775, 50848, 50893, 50927, 50941, 51249, 51467, 56569, 51672, 50862, 53997, 51058, 50927, 51241, 51327, 52221, 54589, 51045, 68260, 51712, 50301, 57769, 51566, 50935, 66808, 51672, 55998, 57432, 55188, 57943, 51120, 51242, 51027, 51328, 59305, 50438, 50847, 58778, 50849, 50927, 51241, 51249, 54035, 55188, 51505, 50444, 51120, 51111, 51027, 51191, 50872, 50901, 51672, 54988, 51085, 57053, 58878, 57710, 54589, 52325, 51120, 50904, 50872, 51685, 54734, 51391, 51050, 51346, 50900, 51351, 50945, 78707, 54589, 50823, 51039, 53855, 51050, 53351, 57432, 55188, 68981, 51214, 51310, 51026, 51112, 50899, 51227, 75649, 51450, 54589, 52284, 51026, 51221, 50899, 51255, 50953, 63490, 53886, 50798, 57432, 55188, 52163, 51120, 51100, 51027, 51101, 50964, 51174, 50852, 50936, 52288, 73202, 55188, 51014, 68260, 51853, 50301, 57769, 51454, 50935, 57191, 50840, 52389, 57710, 54589, 54684, 51120, 51328, 51027, 51423, 50872, 58346, 50847, 50879, 50927, 68591, 54589, 52313, 51120, 69792, 51328, 50872, 65295, 51085, 50827, 50848, 57277, 57432, 55188, 58954, 51120, 50959, 51027, 50933, 50872, 51274, 54868, 73387, 52059, 50927, 68591, 54589, 50823, 51039, 52437, 51120, 52415, 50301, 51051, 77363, 50798, 57432, 55188, 54179, 50946, 57154, 53574, 51120, 51423, 51027, 51309, 61781, 50927, 68432, 54589, 55380, 50848, 51370, 53886, 51120, 73387, 56777, 57432, 55188, 55273, 50848, 51167, 51303, 50936, 54868, 50820, 51027, 50829, 50927, 51310, 51719, 56777, 54589, 55573, 51120, 50908, 51027, 50908, 72252, 56206, 76931, 51249, 54504, 51120, 50841, 51027, 50841, 51672, 55548, 57432, 55188, 54179, 51120, 51954, 50301, 50904, 50848, 51060, 71325, 51249, 54927, 51120, 78493, 50857, 50927, 51749, 51327, 55195, 55188, 56059, 51120, 50822, 51027, 50822, 50885, 50893, 51672, 55593, 53886, 51120, 51008, 51027, 53197, 57432, 55188, 54178, 51120, 73614, 63815, 64182, 50840, 54868, 50894, 51027, 50894, 50927, 51749, 58130, 51045, 68260, 51014, 51027, 51014, 50988, 73651, 50930, 52389, 51779, 52493, 54334, 51214, 71115, 77506, 67933, 52090, 54078, 56034, 59266, 51164, 50938, 51443, 66646, 52279, 52625, 56843, 51214, 51212, 51026, 51033, 50899, 50936, 51171, 58610, 52279, 52625, 52768, 51247, 51619, 50297, 51060, 50900, 51501, 50292, 54070, 52279, 52625, 52884, 51171, 57564, 52279, 52625, 51010, 58359, 51397, 51120, 50991, 51027, 51116, 51171, 51423, 50946, 51337, 50927, 55580, 50976, 51206, 51973, 51042, 50952, 50927, 55580, 57710, 54589, 68981, 51120, 51242, 51027, 51681, 50294, 55918, 53813, 51799, 51212, 50946, 50873, 50927, 54209, 54589, 52284, 51120, 68589, 76026, 53340, 53886, 51799, 51749, 51171, 50886, 50927, 55580, 57710, 54589, 52163, 51120, 52415, 50301, 51412, 77124, 52093, 53997, 50933, 51171, 50995, 50927, 55195, 55188, 55573, 51120, 51712, 50301, 74620, 56879, 53425, 51799, 51534, 77301, 50927, 54209, 57710, 55188, 54179, 51120, 51712, 50301, 51766, 50294, 53065, 53574, 51799, 51337, 77934, 50927, 55195, 54589, 55380, 51120, 51712, 50301, 76026, 53156, 53886, 51799, 51803, 50927, 55580, 57710, 54589, 52163, 51120, 63663, 51203, 50946, 51255, 51171, 67425, 50840, 53997, 50978, 71654, 54589, 52244, 51120, 51328, 51027, 51753, 50946, 55690, 53548, 51042, 78659, 54209, 57710, 54589, 52119, 51120, 69792, 51242, 51171, 51419, 50791, 53574, 51799, 51233, 70044, 71654, 54589, 55380, 51120, 51194, 51027, 51134, 51042, 54447, 53886, 51799, 51411, 50927, 51599, 57432, 55188, 54178, 51120, 61509, 50840, 54734, 51233, 51164, 50866, 50885, 50940, 50945, 51599, 78975, 51653, 60284, 58035, 51101, 50927, 54149, 51247, 57245, 50865, 51164, 50810, 50945, 51599, 58163, 56896, 51214, 51351, 51026, 65610, 51227, 50988, 51351, 50848, 51294, 50953, 57044, 66888, 63523, 51026, 60318, 59810, 54411, 51214, 74812, 57710, 54589, 54178, 51120, 51212, 51027, 51411, 52540, 51328, 51396, 50845, 50964, 51508, 50809, 58359, 51741, 50292, 50810, 51171, 51380, 50946, 51008, 50927, 55580, 54589, 51045, 68260, 52169, 50301, 69207, 53425, 51042, 50858, 50927, 51599, 57710, 54589, 54179, 51120, 51328, 51027, 51328, 51171, 51542, 50791, 54431, 51799, 51194, 64178, 50927, 55195, 54589, 55380, 51120, 51328, 51027, 51328, 51042, 53340, 53688, 51799, 51411, 50927, 55580, 57710, 54589, 54178, 51120, 52415, 50301, 51203, 51171, 51535, 50946, 66009, 50836, 58359, 51310, 51085, 51058, 50927, 54209, 54589, 55573, 51120, 68589, 52312, 50301, 55966, 53548, 77301, 50927, 55580, 57710, 54589, 54179, 51120, 69792, 51242, 51171, 51637, 50791, 53894, 51799, 51312, 50946, 50892, 50927, 55195, 55188, 55380, 51120, 73387, 76026, 51373, 53688, 51799, 51183, 50927, 54168, 57710, 54589, 54178, 51120, 73387, 51423, 51506, 75124, 50836, 53997, 50933, 51171, 51134, 62081, 50927, 55580, 54589, 55573, 51120, 69792, 61729, 61509, 53425, 68690, 50927, 51599, 57710, 54589, 54179, 51120, 51212, 51027, 51242, 51171, 51542, 50791, 53574, 51799, 51221, 70044, 50927, 55580, 54589, 55380, 51120, 71942, 64288, 50844, 57491, 51799, 51535, 50927, 51599, 57432, 55188, 54178, 51120, 72136, 51351, 51171, 51370, 50840, 53997, 51328, 51171, 60884, 50849, 50927, 52466, 55188, 52244, 51120, 50874, 51332, 51862, 50964, 52865, 55601, 50887, 53327, 53906, 51799, 61729, 50928, 51171, 50870, 50927, 58163, 52927, 51214, 51233, 51026, 73280, 73722, 69855, 50858, 50953, 51520, 55469, 56059, 51247, 51312, 51050, 73725, 58239, 51345, 51164, 51227, 50945, 55311, 52319, 55273, 51120, 51286, 51027, 51343, 51171, 51310, 50946, 51025, 64505, 51072, 51206, 50803, 58359, 51397, 51085, 50866, 50927, 65061, 51120, 59467, 58192, 51042, 58791, 55580, 57432, 54589, 52119, 51120, 69792, 51681, 50294, 52441, 50791, 53574, 51799, 51480, 50946, 50845, 50927, 54209, 54589, 57565, 51120, 51712, 50301, 76026, 53111, 53938, 51799, 51199, 50927, 55580, 57710, 54589, 54178, 51120, 51828, 50301, 51110, 51171, 51562, 50946, 59330, 50836, 53997, 51058, 50927, 55195, 51331, 55573, 51120, 69792, 67305, 56835, 53548, 51799, 51412, 70750, 50927, 54209, 57710, 54589, 52119, 51120, 52169, 50301, 51058, 51171, 51637, 50791, 53574, 51799, 51309, 50946, 50974, 50927, 55195, 54589, 77762, 51120, 51712, 50301, 76026, 53199, 53886, 51799, 51749, 50927, 55580, 57710, 54589, 54178, 51120, 72136, 51110, 51171, 51318, 50946, 51189, 52385, 53997, 50838, 71654, 54589, 52244, 51120, 73387, 59074, 53548, 51799, 51412, 51042, 78659, 54209, 57710, 54589, 54179, 51120, 73387, 51681, 50294, 51965, 50791, 54431, 51799, 51337 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 19834, 6, 4246, 10, 13305, 8, 24896, 6, 278, 11, 10, 1769, 27841, 139, 20889, 8, 41, 18186, 112, 73, 306, 86, 6543, 4, 20, 2214, 16, 11, 5, 762, 9, 274, 538, 8, 24536, 10, 33215, 16739, 9, 274, 6, 163, 428, 401, 6, 83, 6, 163, 43531, 1176, 406, 6, 8, 230, 4, 85, 7630, 6568, 10, 19448, 8, 15352, 30054, 5466, 6, 10686, 13, 10, 822, 6, 8, 34, 10, 11602, 9, 11098, 8, 9884, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50640, 52274, 52274, 52274, 52552, 50906, 52460, 50423, 71089, 54838, 50902, 52454, 50302, 51447, 50871, 52916, 50906, 52140, 60718, 51466, 63809, 53164, 50318, 67303, 50931, 53164, 50299, 51703, 50861, 51703, 50462, 50906, 51466, 50474, 51197, 53164, 50311, 54590, 50313, 54590, 50316, 51330, 54838, 51120, 52431, 50989, 52916, 50877, 52916, 50902, 52140, 63932, 53164, 50299, 52916, 50871, 54573, 50973, 52431, 50462, 51028, 51333, 50474, 50902, 51108, 54838, 50965, 70713, 60700, 51741, 50292, 51148, 54439, 78181, 52845, 50319, 54498, 51197, 53164, 50307, 54590, 50311, 61637, 50956, 60667, 50313, 54590, 50297, 55776, 50462, 50871, 53577, 50877, 53577, 50902, 51965, 50480, 50956, 79124, 76830, 51079, 54662, 51922, 50899, 52503, 50906, 51671, 51057, 52315, 51637, 50432, 51752, 50972, 54838, 51596, 71117, 51447, 55961, 58309, 51596, 64897, 57123, 50902, 58087, 51596, 64897, 52511, 50301, 51466, 57428, 59914, 51606, 52026, 50299, 51703, 72786, 51166, 50462, 52315, 64897, 51166, 50468, 50902, 51166, 50474, 51752, 64897, 52511, 50295, 51466, 50480, 50861, 51166, 54838, 51596, 51592, 51120, 52431, 69724, 51166, 56207, 57123, 50902, 58087, 50877, 62523, 50989, 51166, 56279, 51703, 50456, 50989, 51166, 50462, 51596, 65186, 51166, 50468, 50902, 51166, 50474, 51596, 65186, 75138, 52011, 50480, 50989, 51166, 54838, 51596, 71117, 51447, 55902, 58309, 52671, 64897, 57123, 50902, 58087, 51596, 64897, 77885, 51466, 58365, 59914, 51606, 52026, 50295, 51703, 72786, 51166, 50462, 52161, 64897, 51166, 50468, 50902, 51166, 50474, 51596, 64897, 52511, 50292, 51466, 50480, 50861, 51166, 54838, 51752, 51592, 51050, 51447, 55961, 51166, 56207, 57123, 50876, 58087, 50877, 51166, 57428, 59914, 51027, 52440, 50456, 50871, 51074, 50462, 51606, 59391, 51074, 50468, 51001, 51074, 50474, 51606, 59391, 51074, 50480, 50871, 51079, 54838, 51606, 78389, 51703, 55961, 58069, 51827, 62542, 56427, 50902, 54938, 51565, 71323, 51853, 50295, 51333, 58365, 55437, 51606, 51734, 50294, 51447, 50456, 50965, 50838, 50462, 52315, 51218, 50906, 50838, 50468, 50902, 50838, 50474, 50931, 50838, 50480, 52251, 59292, 50974, 54838, 51565, 51103, 51197, 51592, 55902, 56307, 50906, 55544, 51001, 54137, 50906, 55103, 50861, 54323, 51686, 51314, 51315, 51692, 72786, 50905, 50462, 50906, 50905, 50468, 50876, 50905, 50474, 51565, 64897, 50905, 50480, 50861, 50905, 54838, 51606, 71445, 64815, 58194, 60006, 68988, 52315, 52026, 50299, 65227, 57937, 52161, 52026, 50298, 57991, 51596, 52026, 50297, 53164, 50306, 54590, 50309, 54590, 50314, 51330, 50462, 53124, 51637, 50480, 51752, 51853, 50285, 52511, 50307, 78068, 79124, 51079, 54838, 52315, 51592, 51234, 51671, 50899, 51922, 50871, 51922, 50906, 51449, 50462, 51596, 51108, 50474, 51596, 51108, 54838, 51596, 51517, 50292, 52431, 53502, 58309, 51752, 64636, 57123, 50877, 58087, 51606, 64636, 51166, 55513, 59914, 51789, 52026, 50292, 52916, 72407, 51166, 50462, 51606, 63821, 51166, 50468, 50906, 51166, 50474, 51565, 68186, 51166, 50480, 50900, 51166, 54838, 51686, 51080, 51050, 51447, 53502, 51166, 53645, 57123, 50877, 51166, 57019, 51166, 55513, 59914, 51686, 51314, 51378, 51703, 50456, 50956, 51166, 50462, 50877, 51166, 50468, 50876, 51166, 50474, 51686, 65186, 51166, 50480, 50956, 51166, 54838, 51686, 71169, 51447, 54569, 58309, 51827, 63821, 57123, 50906, 58087, 51596, 63821, 52511, 50290, 51466, 55989, 59914, 51789, 52026, 50292, 51703, 72407, 51166, 50462, 51686, 51637, 50861, 51166, 50468, 50906, 51166, 50474, 50916, 52511, 50292, 51466, 50480, 51565, 69476, 51166, 54838, 51606, 51080, 51050, 51447, 53502, 51166, 53645, 57123, 50877, 51166, 57019, 51166, 55513, 59914, 51606, 51314, 51027, 51703, 72407, 51166, 50462, 50871, 51166, 50468, 50876, 51166, 50474, 52161, 64636, 51166, 50480, 50900, 51166, 54838, 51596, 71117, 52431, 54569, 58309, 52671, 64636, 57123, 50906, 58087, 51596, 64636, 51166, 55513, 59914, 51606, 52026, 50299, 51703, 71136, 51166, 50462, 52315, 63821, 51166, 50468, 50906, 51166, 50474, 51752, 65186, 52511, 50295, 54590, 50301, 51330, 50480, 50861, 51166, 54838, 51596, 51080, 51120, 51703, 50899, 51314, 50989, 51703, 50877, 51314, 50450, 51752, 51734, 50295, 51244, 50900, 51314, 50861, 51314, 50876, 51148, 50462, 51686, 51295, 50480, 51565, 51458, 50296, 51712, 50305, 62543, 65273, 50905, 54838, 51606, 51800, 50297, 67119, 58194, 60006, 68537, 52315, 51218, 50956, 52019, 50299, 51477, 50444, 52161, 51458, 50298, 56697, 51596, 78167, 70276, 64636, 64897, 50995, 50462, 53124, 51218, 50480, 51752, 51458, 50285, 60420, 60912, 60242, 50905, 50799, 52315, 51359, 51234, 51445, 50899, 51449, 50871, 51449, 50906, 51313, 51057, 50906, 51477, 59409, 50838, 54838, 50902, 64307, 51148, 80242, 50997, 53487, 50426, 51081, 54498, 50999, 63784, 52019, 50317, 61112, 50951, 52985, 50902, 67120, 60367, 51244, 50462, 50906, 51097, 50474, 50899, 66412, 52026, 50324, 50995, 54838, 51197, 51592, 50956, 51422, 50906, 51592, 50951, 51422, 50450, 50999, 51145, 51315, 52140, 51040, 51662, 50906, 51939, 50474, 50951, 51097, 54838, 51050, 63030, 60006, 60700, 55382, 51026, 75865, 63211, 57937, 51378, 52026, 50302, 63211, 75939, 50995, 56415, 66412, 70062, 51244, 51050, 51939, 50462, 50916, 61087, 51097, 50474, 50956, 65186, 78181, 50932, 54662, 51445, 50899, 51449, 50906, 51313, 51057, 51723, 51637, 50432, 51431, 50972, 54838, 51485, 71117, 51447, 55961, 58309, 51485, 64897, 57123, 50902, 58087, 51485, 64897, 52511, 50301, 51466, 57428, 59914, 51509, 52026, 50299, 51703, 72786, 51166, 50462, 51723, 64897, 51166, 50468, 50902, 51166, 50474, 51431, 64897, 52511, 50295, 51466, 50480, 50861, 51166, 54838, 51485, 51592, 51120, 52431, 69724, 51166, 56207, 57123, 50902, 58087, 50877, 62523, 50989, 51166, 56279, 51703, 50456, 50989, 51166, 50462, 51485, 65186, 51166, 50468, 50902, 51166, 50474, 51485, 65186, 75138, 52011, 50480, 50989, 51166, 54838, 51485, 71117, 51447, 55902, 58309, 52061, 64897, 57123, 50902, 58087, 51485, 64897, 77885, 51466, 58365, 59914, 51509, 52026, 50295, 51703, 72786, 51166, 50462, 51641, 64897, 51166, 50468, 50902, 51166, 50474, 51485, 64897, 52511, 50292, 51466, 50480, 50861, 51166, 54838, 51431, 51592, 51050, 51447, 55961, 51166, 56207, 57123, 50876, 58087, 50877, 51166, 57428, 59914, 51027, 52440, 50456, 50871, 51074, 50462, 51509, 59391, 51074, 50468, 51001, 51074, 50474, 51509, 59391, 51074, 50480, 50871, 51079, 54838, 51509, 78389, 51703, 55961, 58069, 52336, 62542, 56427, 50902, 54938, 51579, 71323, 51853, 50295, 51333, 58365, 55437, 51509, 51734, 50294, 51447, 50456, 50965, 50838, 50462, 51723, 51218, 50906, 50838, 50468, 50902, 50838, 50474, 50931, 50838, 50480, 52264, 59292, 50974, 54838, 51579, 51103, 51197, 51592, 55902, 56307, 50906, 55544, 51001, 54137, 50906, 55103, 50861, 54323, 52067, 51314, 51315, 51692, 72786, 50905, 50462, 50906, 50905, 50468, 50876, 50905, 50474, 51579, 64897, 50905, 50480, 50861, 50905, 54838, 51509, 71445, 64815, 58194, 60006, 68988, 51723, 52026, 50299, 65227, 57937, 51641, 52026, 50298, 57991, 51485, 52026, 50297, 53164, 50306, 54590, 50309, 54590, 50314, 51330, 50462, 52334, 51637, 50480, 51431, 51853, 50285, 52511, 50307, 78068, 79124, 51079, 54838, 51723, 51592, 51234, 51671, 50899 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 13305, 6, 23338, 33518, 1264, 6, 1076, 560, 31365, 25999, 6, 81, 9756, 8669, 6, 8, 6755, 12547, 4, 20, 2125, 16, 11, 83, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 20, 33215, 16739, 1171, 230, 10431, 406, 6, 274, 10431, 406, 6, 274, 10431, 119, 406, 6, 8, 163, 406, 6, 2351, 10, 8728, 8, 19448, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50437, 51719, 52149, 51249, 52149, 66417, 52570, 51410, 52149, 51273, 51795, 51479, 53442, 54091, 53082, 52213, 53454, 54598, 50839, 53148, 55856, 51251, 55856, 51113, 55856, 50439, 54598, 52045, 50446, 51471, 50454, 51983, 50461, 51188, 50825, 50799, 51856, 58257, 54201, 54412, 57829, 51404, 65533, 51497, 56127, 51823, 51172, 50422, 51323, 50933, 51956, 50430, 51273, 50849, 52455, 61193, 51746, 66090, 51593, 50827, 51273, 51184, 51479, 54704, 51746, 59692, 51839, 50825, 51323, 64043, 51746, 51833, 62749, 51746, 51680, 50455, 51471, 50461, 52861, 50887, 51601, 54091, 51116, 54598, 51203, 50416, 50903, 53850, 54412, 56828, 52213, 51110, 50424, 54091, 52482, 54598, 51178, 51471, 50431, 52721, 52821, 50432, 54091, 51194, 51960, 50440, 52861, 50820, 51303, 51307, 51249, 51307, 66417, 52570, 51410, 51307, 51251, 55856, 51113, 55856, 50441, 54091, 53454, 52213, 53090, 51154, 55856, 51273, 51795, 51479, 58321, 51983, 50457, 51471, 51809, 51347, 50825, 51943, 56127, 51188, 54528, 54412, 66261, 77459, 51856, 61732, 51404, 52944, 51497, 52688, 51323, 50827, 51762, 50434, 51746, 50827, 51273, 50849, 52166, 56432, 51593, 70430, 51410, 51307, 51303, 51591, 51249, 51191, 51273, 51795, 51479, 59224, 51746, 56197, 51323, 50933, 52320, 52465, 69232, 51323, 50825, 51746, 51680, 50457, 51249, 51486, 50459, 51468, 52478, 52861, 51238, 54091, 50846, 54091, 51412, 50419, 50804, 50364, 51502, 51139, 55800, 52213, 51110, 51303, 51295, 50427, 52861, 51158, 51287, 50797, 56446, 52721, 51194, 54091, 53908, 54091, 51124, 52419, 50901, 51960, 50442, 54227, 52045, 50443, 52213, 53259, 51301, 51004, 51113, 54406, 51465, 52149, 55390, 52570, 52102, 52149, 51249, 52149, 51794, 51004, 51794, 55856, 51301, 55856, 51113, 55856, 52419, 51795, 51479, 63317, 51471, 50460, 51983, 52478, 51323, 52944, 51839, 50825, 51746, 58257, 51031, 50421, 51593, 54528, 54412, 60480, 52232, 67012, 51770, 51006, 51956, 50437, 52400, 50827, 52419, 50849, 52455, 60479, 51940, 50933, 52419, 51184, 51479, 56038, 52400, 53996, 51770, 65415, 52400, 50825, 52400, 51627, 51842, 50799, 51471, 50419, 65959, 50982, 65359, 51297, 63976, 54475, 54786, 50840, 59403, 57987, 59403, 51162, 50422, 50903, 53850, 54412, 57469, 51770, 51277, 54227, 61799, 51471, 50431, 54227, 50795, 50436, 52400, 53945, 52400, 50827, 54598, 50846, 54598, 51255, 51960, 50446, 51478, 50864, 54227, 51362, 53037, 51290, 50447, 53824, 51253, 52571, 51103, 51651, 51103, 66165, 51196, 51465, 51103, 51357, 53055, 51301, 53055, 52316, 53055, 51493, 51009, 51479, 58321, 52856, 57723, 51770, 50932, 50455, 51983, 50461, 52856, 50825, 50799, 53037, 50991, 54227, 51215, 50415, 52232, 50825, 51478, 51833, 64301, 52856, 50825, 53824, 67943, 51770, 56909, 52400, 51419, 54598, 51077, 54091, 51362, 50424, 52856, 50825, 51478, 51283, 51719, 51413, 51249, 51413, 66417, 51196, 51410, 51413, 51251, 53055, 51113, 53055, 53148, 53055, 51273, 51059, 50903, 53850, 54412, 79506, 62047, 54091, 51116, 51273, 50849, 52166, 60852, 51839, 50825, 51746, 50825, 59403, 51013, 54227, 50795, 56397, 51196, 51794, 53055, 51375, 53055, 51301, 53055, 58074, 50449, 52102, 51103, 51465, 51103, 51651, 51191, 52318, 51009, 59207, 51593, 50825, 51770, 51480, 50451, 52232, 51484, 50457, 51983, 50461, 51593, 50825, 51809, 59403, 50991, 51651, 51124, 50417, 51839, 50825, 51746, 50825, 54227, 50991, 51468, 50418, 51593, 50825, 51770, 50978, 50419, 52232, 51006, 50424, 51593, 50825, 63976, 51362, 50425, 51478, 51419, 51746, 51283, 54091, 50918, 51719, 51103, 52571, 51103, 51410, 50897, 57081, 51285, 51491, 53055, 51357, 53055, 52659, 63398, 51251, 53055, 50903, 53850, 54412, 72090, 51410, 51295, 51468, 50434, 51468, 50440, 63976, 51124, 50442, 65573, 50901, 51960, 50449, 59403, 56300, 54103, 51454, 50450, 51323, 51243, 52232, 51313, 65359, 54300, 55390, 51469, 52102, 51307, 51465, 51307, 51249, 51307, 51301, 53678, 52419, 51795, 51479, 57150, 51794, 53678, 51113, 53678, 50458, 51471, 51601, 54103, 53601, 50419, 51983, 71750, 54201, 54412, 50884, 51556, 60862, 52419, 50849, 52455, 70738, 52102, 51307, 51303, 51307, 55390, 51469, 51249, 51307, 51794, 53678, 51154, 53678, 51113, 53678, 52419, 51184, 51479, 58077, 51842, 50796, 51039, 54956, 50903, 53850, 54412, 71150, 51471, 50445, 51960, 50453, 51719, 51307, 51249, 51307, 66417, 51469, 51410, 51307, 51113, 53678, 53148, 53678, 51251, 53678, 50454, 51273, 51795, 51479, 55971, 51983, 56020, 51471, 50429, 54091, 54143, 55822, 51158, 57096, 54412, 66261, 59873, 55066, 51364, 50437, 54598, 51642, 50439, 51762, 50445, 52213, 51194, 50447, 51273, 50849, 52166, 61634, 52861, 51714, 52721, 51692, 66417, 51469, 51410, 51307, 51303, 51591, 51249, 51191, 51113, 53678, 51251, 53678, 51154, 53678, 51273, 51795, 51479, 50834, 51601, 51983, 50422, 51249, 51486, 50424, 60945, 50804, 50364, 51502, 51139, 60032, 51303, 51295, 55822, 51388, 50440, 51287, 50797, 56453, 55066, 51158, 50448, 52419, 50901, 51960, 50455, 54103, 52017, 50456, 65359, 55086, 52419, 51795, 50457, 52102, 51307, 51465, 51307, 55390, 51469, 51249, 51307, 51794, 53678, 51301, 53678, 51113, 53678, 51479, 50846, 71349, 56982, 51983, 50433, 50903, 54201, 54412, 57681, 63976, 51043, 50442, 51956, 50449, 54786, 51534, 50450, 52419, 50849, 52455, 58958, 59403, 51714, 51303, 51307, 51651, 51307, 56397, 51469, 52571, 51307, 51375, 53678, 51154, 53678, 51357, 53678, 50459, 52318, 51184, 51479, 50820, 53069, 51842, 50427, 72387, 50903, 53850, 54412, 59120, 54103, 51496, 50443, 51190, 50797, 57136, 51960, 50459, 54598, 52015, 63701, 51790, 50460, 52303, 51307, 52102, 51307, 65047, 52570, 51465, 51307, 51794, 55856, 51638, 55856, 51301, 55856, 65573, 51795, 51479, 50820, 50796, 51039, 74031, 51471, 55935, 54412, 73957, 50903, 71309, 51762, 50452, 52387, 51238, 50453, 65573, 50849, 52166, 61824, 54598, 62959, 52303, 51591, 51465, 51307, 65573, 51795, 58074, 79480, 51191, 51931, 50422, 51983, 50429, 54598, 51095, 52102, 51486, 50430, 51468, 50437, 54227, 52599, 50804, 50364, 51502, 51139, 63281, 52303, 51295, 67115, 51468, 50454, 54227, 51215, 50455, 52318, 50901, 51960, 50799, 55458, 52024, 63976, 52250, 50415, 51687, 52149, 51719, 52149, 57081, 52570, 51249, 52149, 51426, 55856, 51491, 55856, 51113, 55856, 52659, 51795, 51479, 54579, 51471, 51361, 65004, 63701, 51215, 50440, 50903, 54201, 54412, 55888, 55066, 51116, 50448, 51956, 50455, 55822, 51238, 50456, 52659, 50849, 52455, 50863, 52177, 52659, 51184, 51479, 50820, 55066, 51141, 50425, 51842, 50433, 51471, 50442, 50903, 53850, 54412, 58017, 54103, 55149, 61014, 54103, 51048, 50458, 51960, 52478, 52659, 51795, 51479, 59346, 55822, 55797, 55066, 50978, 51544, 68713, 63701, 51991, 50435, 51471, 62177, 54412, 66261, 60376, 73148, 52659, 50849, 50460, 52166, 50870, 52591, 51687, 51591, 51249, 51307, 51719, 51191, 52659, 51795, 51479, 64561, 78499, 51719, 51486, 50437, 51468, 64614, 50364, 51502, 51139, 79857, 51687, 51295, 63701, 51158, 50453, 51287, 50797, 59025, 55066, 78123, 65573, 50901, 51960, 52591, 54103, 50977, 50421, 51410, 52149, 51719, 52149, 52659, 51795, 50422, 57081, 52570, 51249, 52149, 51251, 55856, 51491, 55856, 51113, 55856, 51479, 59971, 51471, 51570, 60402, 50903, 54201, 54412, 63318, 51956, 51601, 52659 ]
[ 0, 250, 5386, 19834, 2125, 11, 83, 3694, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 326, 5638, 18026, 6, 15679, 642, 1543, 6, 8, 32909, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 41, 9066, 8, 25306, 5466, 6, 1969, 13, 814, 12, 21330, 5422, 11, 3541, 4, 20, 33215, 16739, 9, 274, 119, 1176, 406, 6, 272, 119, 1176, 406, 6, 274, 119, 1176, 406, 6, 8, 381, 3639, 7, 5, 2933, 8, 31803, 2650, 6711, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 55308, 51036, 55117, 50941, 55471, 50371, 55913, 51319, 55679, 71718, 55117, 50835, 55471, 50374, 52852, 51004, 50416, 51525, 51319, 50417, 55117, 50863, 55471, 66478, 51525, 77940, 55117, 50863, 55471, 50371, 52852, 51319, 50421, 55117, 50870, 55471, 50370, 52852, 73435, 55117, 50982, 55471, 77811, 62021, 55117, 50863, 55471, 50863, 55117, 50837, 55471, 61599, 51525, 50365, 52852, 70297, 55117, 50904, 55471, 54317, 51525, 51004, 50427, 55117, 50837, 55471, 50372, 52852, 75181, 55117, 50891, 55471, 50369, 52852, 70813, 55117, 50863, 55471, 61938, 51525, 66775, 55117, 50825, 55471, 50373, 52852, 51297, 50433, 55117, 50864, 55471, 50373, 55913, 65627, 55117, 50825, 55471, 50373, 52852, 51297, 50436, 55117, 50825, 55471, 50373, 52852, 77811, 61562, 55117, 50837, 55471, 52896, 55117, 50825, 55471, 50373, 52852, 78565, 55117, 50891, 55471, 50369, 52852, 50982, 50440, 51525, 51297, 50441, 55117, 50863, 55471, 60795, 55117, 50825, 55471, 50373, 52852, 65112, 55117, 50825, 55471, 50373, 52852, 51297, 50445, 55117, 50908, 55471, 50368, 52852, 67394, 55117, 50863, 55471, 50371, 52852, 67676, 55117, 50837, 55471, 62749, 51525, 67712, 62849, 55117, 50825, 55471, 52743, 55117, 50825, 55471, 50373, 52852, 76595, 51525, 78014, 55117, 50837, 55471, 50372, 52852, 51128, 50453, 55117, 50863, 55471, 60535, 51525, 63543, 55117, 50904, 55471, 50372, 55913, 60272, 55117, 50837, 55471, 59044, 55117, 50825, 55471, 50373, 52852, 67076, 55117, 50825, 55471, 50373, 52852, 51128, 50460, 55117, 50886, 55471, 50374, 55913, 67712, 50928, 50799, 55117, 50941, 55471, 50371, 55913, 65843, 55117, 50863, 55471, 50371, 52852, 50928, 50416, 51525, 79754, 55117, 50863, 55471, 66478, 51525, 73954, 54541, 51112, 55662, 50863, 50698, 50305, 50863, 55662, 50863, 50698, 50305, 50371, 52852, 51128, 60177, 51112, 50421, 55662, 50870, 50698, 50305, 50370, 52852, 65587, 55662, 50982, 50698, 50305, 77811, 63140, 55662, 50863, 50698, 50305, 50863, 55662, 50837, 50698, 50305, 61599, 51525, 67712, 62973, 55662, 50904, 50698, 50305, 54317, 51525, 78342, 55662, 50837, 50698, 50305, 50372, 52852, 79499, 55662, 50863, 50698, 50305, 50371, 52852, 68762, 55662, 50870, 50698, 50305, 60286, 51525, 64161, 55662, 50870, 50698, 50305, 50370, 52852, 57378, 56049, 50967, 54552, 50967, 50433, 54235, 50864, 52820, 50373, 55913, 63633, 54235, 50825, 52820, 50373, 52852, 51128, 50436, 54235, 50825, 52820, 50373, 52852, 67712, 60622, 54235, 50837, 52820, 52896, 54235, 50825, 52820, 50373, 52852, 62889, 54235, 50891, 52820, 50369, 52852, 50928, 50440, 51525, 74594, 54235, 50863, 52820, 60795, 54235, 50891, 52820, 50369, 52852, 68211, 54235, 50891, 52820, 50369, 52852, 62232, 56177, 50991, 56380, 50991, 50445, 54138, 50908, 55515, 50368, 52852, 64807, 54138, 50863, 55515, 50371, 52852, 63491, 54138, 50837, 55515, 62749, 51525, 67712, 62849, 54138, 50825, 55515, 52743, 54138, 50825, 55515, 50373, 52852, 76595, 51525, 78014, 54138, 50837, 55515, 50372, 52852, 51128, 50453, 54138, 50863, 55515, 60535, 51525, 63543, 54138, 50904, 55515, 50372, 55913, 60272, 54138, 50891, 55515, 62662, 54138, 50908, 55515, 50368, 52852, 67076, 66207, 51112, 58357, 50864, 52351, 50373, 55913, 51128, 54885, 51112, 50460, 58357, 50886, 52351, 50374, 55913, 67712, 50928, 50799, 58357, 50825, 52351, 50373, 52852, 65843, 58357, 50891, 52351, 50369, 52852, 50928, 50416, 51525, 79754, 58357, 50863, 52351, 66478, 58357, 50825, 52351, 50373, 52852, 73954, 58357, 50825, 52351, 50373, 52852, 79755, 58357, 50908, 52351, 50368, 52852, 65587, 58357, 50863, 52351, 50371, 52852, 63140, 58357, 50837, 52351, 61599, 51525, 67712, 62973, 58357, 50891, 52351, 52966, 58357, 50908, 52351, 50368, 52852, 78342, 60766, 52045, 51525, 50928, 55145, 52045, 50428, 56364, 50867, 53121, 50375, 55913, 68762, 56364, 50835, 53121, 60443, 51525, 64161, 56364, 50863, 53121, 50371, 52852, 57378, 56364, 50863, 53121, 60050, 51525, 63633, 56364, 50870, 53121, 50370, 52852, 64568, 56364, 50982, 53121, 70227, 56364, 50863, 53121, 50371, 52852, 67712, 60622, 56364, 50837, 53121, 52896, 51525, 62889, 56364, 50904, 53121, 50372, 55913, 50928, 50440, 56364, 50837, 53121, 50372, 52852, 74594, 53492, 52570, 52206, 52570, 51799, 52570, 51841, 52570, 51214, 52570, 51503, 52570, 51234, 52570, 51085, 52570, 51247, 52570, 51279, 52570, 50442, 52759, 51469, 56364, 50891, 53121, 50369, 52852, 68211, 56364, 50863, 53121, 50371, 52852, 62232, 56364, 50825, 53121, 57013, 51525, 64807, 50698, 50271, 51184, 71688, 51184, 56364, 50864, 53121, 50373, 55913, 50367, 61440, 51356, 51224, 51009, 50448, 56364, 50825, 53121, 50373, 52852, 67712, 62849, 56364, 50825, 53121, 52743, 56364, 50837, 53121, 50372, 52852, 76595, 51525, 78014, 56364, 50825, 53121, 50373, 52852, 51128, 50453, 56364, 50891, 53121, 62476, 56364, 50863, 53121, 50371, 52852, 63543, 56364, 50825, 53121, 50373, 52852, 51128, 50457, 56364, 50825, 53121, 50373, 52852, 67076, 56364, 50908, 53121, 50368, 52852, 51128, 50460, 56364, 50863, 53121, 50371, 52852, 67712, 59546, 56364, 50837, 53121, 50837, 50799, 56364, 50825, 53121, 50373, 52852, 65843, 51525, 50928, 50416, 56364, 50825, 53121, 50373, 52852, 79754, 56364, 50837, 53121, 62238, 51525, 73954, 56364, 50863, 53121, 50371, 52852, 58387, 56364, 50904, 53121, 73122, 56364, 50837, 53121, 50372, 52852, 65587, 51525, 63140, 56364, 50825, 53121, 59768, 56364, 50825, 53121, 50373, 52852, 67712, 53098, 56364, 50886, 53121, 50374, 55913, 78342, 56364, 50863, 53121, 50371, 52852, 79499, 51525, 68762, 56364, 50835, 53121, 60443, 51525, 64161, 56364, 50863, 53121, 50371, 52852, 57378, 56364, 50863, 53121, 60050, 51525, 63633, 56364, 50870, 53121, 50370, 52852, 64568, 56364, 50982, 53121, 70227, 56364, 50863, 53121, 50371, 52852, 67712, 60622, 56364, 50837, 53121, 52896, 51525, 62889, 56364, 50904, 53121, 50372, 55913, 50928, 50440, 56364, 50837, 53121, 50372, 52852, 74594, 56364, 50891, 53121, 67387, 56364, 50863, 53121, 50371, 52852, 68211, 51525, 62232, 56364, 50825, 53121, 57013, 51525, 64807, 56364, 50864, 53121, 50373, 55913, 63491, 56364, 50825, 53121, 59361, 51525, 67712, 62849, 56364, 50825, 53121, 52743, 56364, 50837, 53121, 50372, 52852, 76595, 51525, 78014, 56364, 50941, 53121, 50371, 55913, 51128, 50453, 56364, 50870, 53121, 60202, 51525, 63543, 56364, 50870, 53121, 50370, 52852, 60272, 56364, 50870, 53121, 58908, 73293, 51048, 51525, 50928, 58502, 51048, 50458, 63934, 50825, 58564, 50373, 52852, 68248, 63934, 50825, 58564, 59025, 63934, 50863, 58564, 50371, 52852, 67712, 59546, 63934, 50837, 58564, 50837, 50799, 51525, 65843, 63934, 50904, 58564, 50372, 55913, 50928, 50416, 63934, 50837, 58564, 50372, 52852, 51128, 50418, 63934, 50891, 58564, 50369, 52852, 73954, 63934, 50863, 58564, 50371, 52852, 58387, 63934, 50863, 58564, 60156, 51525, 65587, 63934, 50971, 58564, 50370, 55913, 77679, 56708, 50807, 63934, 50891, 58564, 50369, 52852, 67712, 50928, 53994, 50807, 50425, 55025, 50825, 52324, 52641, 55025, 50837, 52324, 50372, 52852, 78342, 51525, 79499, 55025, 50825, 52324, 50373, 52852, 68762, 55025, 50891, 52324, 62618, 55025, 50863, 52324, 50371, 52852, 64161, 55025, 50825, 52324, 50373, 52852, 71598, 55025, 50825, 52324, 50373, 52852, 63633, 55025, 50908, 52324 ]
[ 0, 713, 5175, 2214, 6, 30291, 19, 4785, 9, 3152, 6, 1239, 5, 30443, 15, 41, 9066, 3251, 4, 20, 13305, 8, 3459, 8669, 483, 5, 169, 6, 2800, 30, 5, 2247, 23225, 9, 5, 17465, 102, 6, 20535, 2810, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 5, 15229, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 272, 6, 1918, 406, 6, 272, 6, 8, 274, 3639, 7, 5, 2214, 18, 13363, 28191, 5466, 6, 7630, 14805, 10, 11739, 9, 11098, 8, 15073, 6, 20455, 9, 10, 822, 19834, 50, 41, 814, 12, 21330, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50434, 54380, 68916, 75377, 50931, 50918, 51247, 51358, 51050, 51358, 51143, 50886, 51344, 50886, 51536, 50818, 52825, 50809, 52103, 50893, 51713, 50893, 53994, 50795, 55936, 51428, 61531, 75804, 53133, 50894, 51344, 50874, 51143, 50886, 51536, 50809, 52825, 50809, 52719, 50858, 51648, 58746, 54885, 50800, 55448, 51049, 54672, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 54796, 55874, 54380, 51054, 51344, 52015, 50454, 51143, 52015, 51536, 51358, 52825, 51358, 51713, 51016, 52103, 51016, 53994, 50807, 55936, 52221, 55603, 63357, 51340, 50966, 50849, 53069, 53133, 50894, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 52154, 62046, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 52749, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 52227, 54125, 53133, 77288, 50800, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 51724, 54380, 52362, 50303, 57722, 51091, 51247, 50983, 51050, 51091, 50900, 50807, 51143, 50835, 51344, 50835, 51536, 50818, 52825, 50818, 51713, 50893, 52103, 50893, 53994, 50795, 55936, 51370, 57577, 50798, 63178, 53133, 50923, 51143, 50835, 51344, 50886, 51536, 50818, 52825, 50809, 51648, 50858, 52719, 50858, 54885, 50800, 55448, 52154, 58974, 54160, 50894, 52664, 50858, 51683, 50858, 55184, 50800, 53942, 51907, 56536, 50458, 54380, 53531, 50304, 51091, 50871, 51091, 51050, 51091, 50956, 50800, 51143, 52015, 51344, 52015, 51536, 51358, 52825, 51358, 52103, 51016, 51713, 51016, 53994, 50807, 55936, 52221, 55603, 50812, 51809, 52428, 51104, 54080, 53133, 50923, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51370, 55658, 54160, 77288, 50800, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 54796, 62657, 54295, 50858, 52664, 51696, 51683, 51696, 54017, 50800, 53942, 51036, 55184, 55956, 56536, 50439, 51214, 58350, 54160, 52362, 50280, 51036, 51085, 60339, 50807, 63282, 70176, 71923, 51063, 50886, 51143, 50886, 51250, 73812, 52259, 61531, 61841, 53747, 50923, 51063, 51328, 51143, 51328, 51536, 51060, 51250, 59218, 64848, 55539, 50894, 50861, 74250, 51112, 50900, 59702, 54796, 50812, 50799, 54160, 53531, 50292, 50800, 51063, 52015, 51143, 52015, 51250, 51358, 51536, 79000, 52871, 51085, 60339, 68905, 74250, 51112, 52428, 51104, 59749, 53747, 52964, 59628, 55539, 53531, 50304, 50991, 70176, 50876, 51112, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51626, 54796, 75804, 51085, 51091, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51730, 55603, 61094, 54160, 64816, 50800, 52206, 51161, 50900, 72674, 51063, 50886, 51143, 50886, 51250, 73812, 52259, 51420, 55874, 53747, 73725, 68905, 72778, 51063, 50886, 51143, 50886, 51250, 73812, 52847, 54421, 55539, 50894, 51085, 51358, 50804, 55603, 50812, 52478, 54160, 53531, 50304, 61336, 69020, 50983, 51063, 52015, 51143, 52015, 51075, 50835, 51250, 51358, 51536, 51358, 51630, 51044, 65366, 52428, 51163, 55603, 64123, 53747, 52964, 60831, 55539, 51603, 52206, 52496, 54796, 55603, 52597, 53747, 50894, 51085, 50795, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51730, 54796, 55603, 54672, 54160, 50894, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 51757, 54380, 52362, 50285, 51605, 51050, 51605, 50900, 51605, 50871, 51605, 51143, 50886, 51344, 50886, 51536, 50809, 52825, 60949, 52103, 50893, 51888, 50858, 51713, 50893, 55936, 50795, 53994, 50795, 57216, 51730, 61531, 62516, 53133, 50894, 51143, 50886, 51344, 50886, 51536, 50809, 52825, 50809, 51648, 50858, 52719, 50858, 54885, 50800, 55448, 55701, 51601, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 54796, 59432, 54380, 51054, 51143, 51244, 51344, 51244, 51536, 50918, 52825, 50918, 52103, 51016, 51713, 51362, 53994, 50807, 55936, 58747, 56536, 50428, 52428, 51163, 54125, 53133, 50894, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51370, 63773, 54160, 50894, 52664, 50858, 51683, 50858, 55184, 50800, 53942, 51907, 55603, 66270, 54160, 50894, 51050, 50800, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 55701, 50451, 53133, 50894, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 58740, 54380, 52362, 50297, 51605, 51086, 57722, 51605, 51247, 51358, 50900, 51605, 51143, 50835, 51344, 50886, 51536, 50818, 52825, 50809, 52103, 50893, 51713, 50893, 53994, 50795, 55936, 51428, 55603, 60091, 53133, 50894, 51143, 50886, 51344, 50886, 51536, 50809, 52825, 50809, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 55701, 52591, 54160, 50894, 51683, 50858, 52664, 50858, 53942, 50800, 55184, 52227, 53497, 52710, 54380, 51054, 51143, 51749, 51344, 51749, 51536, 51291, 52825, 51291, 52103, 51016, 51713, 51016, 53994, 50807, 55936, 52221, 55603, 59628, 52428, 51104, 57577, 53133, 50923, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 55701, 50446, 54160, 77288, 50795, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 52154, 53497, 78862, 52664, 51696, 51683, 51696, 53942, 51036, 55184, 55956, 51420, 54421, 54160, 52362, 50292, 51605, 50900, 51605, 50861, 51605, 50876, 51605, 52206, 51605, 51063, 50886, 51143, 50886, 51536, 76409, 52259, 61531, 50812, 52177, 53747, 50894, 51143, 50874, 51063, 50874, 51250, 69936, 55701, 50424, 55539, 55020, 54796, 60313, 54160, 51054, 51063, 52015, 51143, 52015, 51536, 51358, 51250, 64253, 56536, 50437, 52428, 51104, 70981, 53747, 52964, 52848, 55539, 50923, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51626, 55603, 54796, 62516, 53747, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 55701, 51601, 52428, 51104, 67503, 56070, 50894, 51234, 66209, 57722, 59123, 57257, 51222, 50886, 51348, 50886, 51262, 50809, 51543, 50809, 54295, 50858, 51906, 50858, 55005, 50800, 54017, 51730, 53497, 50812, 50428, 56070, 76238, 59123, 50800, 51234, 66209, 50800, 51348, 50886, 51543, 50809, 54295, 50858, 51906, 50858, 55005, 50800, 54017, 51049, 54796, 52972, 53497, 59662, 56070, 50894, 62942, 51234, 66209, 59006, 50800, 51348, 50886, 51222, 50835, 51262, 50818, 51543, 50809, 51906, 50858, 54295, 50858, 54017, 50800, 55005, 52154, 52972, 53497, 56536, 50440, 56070, 52362, 50302, 57722, 59123, 50800, 51234, 62674, 66845, 51058, 51348, 51058, 51543, 64142, 51262, 50865, 54295, 50858, 51906, 50858, 55005, 50800, 54017, 51907, 60322, 51163, 52972, 55874, 54160, 52362, 50292, 58035, 54828, 71068, 51143, 51058, 51063, 51058, 51250, 50865, 51536, 50865, 51683, 50858, 52664, 50858, 53942, 50800, 55184, 55456, 52972, 53497, 50812, 52478, 54380, 53531, 50297, 51492, 51247, 51492, 63049, 51223, 50807, 51262, 54490, 52972, 65366, 52842, 66084, 52842, 52672, 53497, 60831, 52842, 50808, 54380, 50894, 51223, 50818, 51262, 52816, 51420, 52597, 52842, 50808, 54380, 51054, 51223, 50818, 51262, 52816, 54796, 52848, 52842, 50808, 51223, 50967, 51262, 58101, 62516, 52842, 52764, 54796, 50812, 51601, 52842, 50889, 54380, 51054, 51223, 51112, 51262, 55568, 56536, 50422, 50798, 56536, 50428, 53165, 50805, 62985, 50923, 51223, 50818, 51262, 52141, 59662, 54380, 55121, 54125, 52350, 52764, 56358, 52350, 50808, 54380, 50894, 51223, 50809, 51262, 52259, 51420, 54672, 54380, 50923, 51262, 78103, 52816, 59312, 66270, 52277, 50889, 50454, 53747, 50923, 51223, 50818, 51262, 52847, 63357, 52842, 50808, 56070, 50894, 51223, 50809, 51262, 51907 ]
[ 0, 250, 1769, 12, 20764, 5175, 19834, 2125, 11, 230, 538, 6, 4246, 10, 6755, 12547, 6, 21072, 6, 31391, 1672, 9590, 6, 10170, 1499, 6, 8, 13305, 4, 20, 15229, 7630, 6568, 10, 25306, 5466, 6, 29354, 19448, 8, 15352, 30054, 4785, 19, 9066, 223, 34693, 6, 442, 24, 10686, 13, 10, 1619, 822, 4, 20, 2214, 11498, 10, 204, 73, 306, 86, 6543, 8, 3905, 10, 33215, 16739, 9, 381, 6, 83, 6, 211, 119, 1176, 406, 6, 83, 73, 347, 10431, 6, 8, 381, 73, 387, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 61627, 51744, 51933, 55746, 52067, 51941, 50799, 53954, 60655, 55078, 54526, 51181, 55198, 50861, 51941, 51027, 54484, 50899, 54484, 51113, 53478, 51107, 53478, 51182, 51939, 53954, 51941, 51335, 50837, 61627, 50989, 51585, 51600, 51939, 52067, 51941, 55746, 51338, 56082, 50900, 56082, 51026, 56082, 50916, 54089, 51088, 53478, 51093, 53478, 51266, 53478, 51206, 50863, 50799, 53954, 72207, 57317, 66037, 67580, 68029, 57317, 70228, 53954, 59357, 55078, 60919, 51181, 55198, 50861, 51941, 51027, 54484, 50899, 54089, 51113, 53478, 51107, 53478, 51182, 51939, 53954, 51941, 51335, 50863, 61627, 50989, 51585, 51600, 51939, 52067, 51941, 55746, 51338, 52369, 50900, 51585, 50916, 51585, 50861, 51585, 51093, 51939, 51266, 51939, 51182, 51939, 51744, 54454, 50432, 51206, 52611, 50436, 51335, 52445, 50439, 51206, 52445, 50441, 51335, 52445, 50444, 51206, 51693, 50446, 51335, 51693, 50449, 51206, 51306, 50451, 51335, 51306, 50455, 51206, 51258, 50457, 51335, 51129, 50460, 51206, 51129, 57157, 51585, 51040, 51585, 50916, 51941, 50877, 51585, 51488, 51939, 51266, 51939, 51284, 51939, 51335, 51004, 50417, 51206, 54605, 51335, 56016, 51206, 53098, 51335, 58832, 51206, 53670, 51335, 55799, 51206, 52904, 51485, 50938, 51335, 56432, 51206, 53325, 51744, 50879, 51335, 54673, 51206, 52763, 51181, 56073, 51027, 54484, 50899, 54089, 50989, 54089, 51113, 53478, 51107, 53478, 51600, 53478, 52314, 52369, 51335, 50837, 61627, 51485, 51196, 57157, 50896, 52061, 60823, 51844, 55198, 51027, 54089, 51040, 54089, 50916, 54089, 51113, 53478, 51488, 53478, 51266, 53478, 51898, 52382, 51206, 50863, 65195, 51306, 50417, 51335, 72450, 51206, 69788, 51335, 60149, 51206, 51306, 50429, 51335, 57617, 51206, 73716, 51335, 58930, 51206, 77060, 51335, 53421, 51181, 51585, 53517, 51100, 51491, 51801, 51113, 51801, 52089, 76010, 50883, 51453, 50928, 54852, 63785, 50974, 53517, 51116, 52089, 51116, 63901, 50928, 51816, 51365, 52092, 50907, 51039, 53977, 50928, 51816, 51748, 52092, 51243, 56207, 51542, 50902, 51542, 54040, 51111, 51555, 51111, 51970, 51361, 53419, 50928, 57552, 51161, 53517, 51162, 52089, 51162, 51897, 52763, 51114, 69138, 50974, 54587, 51162, 52123, 66009, 53740, 50928, 55331, 51477, 51114, 51477, 50852, 53730, 53098, 51181, 51585, 53517, 50849, 52089, 54754, 73177, 53569, 50877, 51328, 50902, 51328, 53517, 51116, 52089, 51116, 63901, 50928, 51816, 51142, 52092, 50851, 51180, 53740, 50982, 51816, 52727, 52092, 51671, 60027, 51542, 50902, 51542, 54040, 51110, 51555, 51110, 63012, 61803, 50928, 56682, 51016, 53517, 51124, 52089, 51124, 51897, 52762, 51181, 51608, 50322, 51775, 50902, 51380, 54587, 51346, 52123, 51346, 63901, 50928, 54360, 59460, 51328, 50902, 51534, 53517, 51162, 52089, 51162, 50852, 54435, 53430, 51137, 51585, 50902, 51328, 50951, 51328, 54040, 51159, 51088, 51592, 51357, 51592, 51555, 51159, 51577, 52281, 51004, 51453, 50928, 55331, 51380, 50951, 51380, 63901, 50928, 52427, 50912, 52092, 50984, 51039, 53977, 50928, 52427, 51283, 52092, 52256, 60718, 51775, 50951, 51380, 54040, 50967, 51555, 50967, 51970, 51361, 53419, 50928, 55827, 51585, 53517, 51204, 51491, 51592, 51113, 51592, 52089, 51204, 51897, 52763, 51114, 63785, 51328, 50791, 53740, 50928, 51816, 50984, 52092, 77219, 51816, 52441, 52092, 51961, 60497, 51775, 50902, 51380, 53517, 51346, 52089, 51346, 50852, 53730, 53098, 51374, 51933, 57179, 51358, 51301, 51801, 51113, 51801, 53444, 71112, 73177, 53569, 50968, 71277, 51328, 63901, 50928, 53464, 50984, 52577, 51365, 50444, 57716, 54068, 53740, 50982, 53464, 51671, 52577, 51748, 50450, 51028, 51542, 50968, 51542, 74148, 50914, 63012, 61803, 50928, 54281, 60599, 51244, 57716, 51218, 51897, 52762, 51181, 59900, 51008, 51028, 51058, 63901, 53962, 57716, 51074, 58105, 52530, 50317, 78172, 51097, 74148, 52378, 50852, 54435, 53430, 51844, 51585, 50877, 51244, 54329, 50918, 51584, 50918, 57716, 53577, 51577, 52281, 51004, 51453, 50928, 58540, 51244, 63901, 50928, 53464, 51123, 52577, 51123, 51039, 53977, 50928, 53464, 55844, 52577, 51748, 50426, 50968, 51542, 53446, 50914, 51902, 50914, 51970, 51361, 53419, 50928, 54360, 51933, 50877, 51939, 54329, 50914, 51584, 50914, 51897, 52763, 50999, 51097, 53517, 51162, 52041, 66009, 53740, 50928, 57289, 51775, 50852, 53730, 53098, 51349, 51585, 50877, 50835, 54329, 51077, 51584, 51077, 51577, 52281, 51129, 51361, 53569, 50968, 51008, 51028, 51058, 63901, 50928, 53464, 50941, 52577, 50984, 51180, 53740, 50982, 53464, 51748, 52577, 51671, 50450, 51028, 51542, 50968, 51542, 53446, 50914, 51902, 50914, 63012, 61803, 50928, 54281, 51585, 50877, 51244, 54329, 51159, 51584, 51159, 51897, 52762, 51028, 51477, 53517, 50849, 52041, 50849, 63901, 54114, 50968, 51423, 53517, 51162, 52089, 51162, 50852, 54435, 53430, 51137, 51585, 50973, 52015, 54040, 51116, 51088, 51592, 51357, 51592, 51555, 51116, 51577, 52281, 50928, 51453, 50928, 56807, 69138, 50974, 54040, 50991, 51555, 50991, 63901, 50928, 52427, 50827, 52092, 50907, 51039, 53977, 50928, 52427, 52598, 52092, 52136, 50426, 50951, 51380, 50902, 51097, 54040, 51346, 51555, 51346, 51970, 51361, 53419, 50928, 54585, 51585, 50877, 52015, 54040, 51189, 51301, 52140, 51113, 51592, 51555, 51189, 51897, 52763, 50968, 52363, 50317, 57154, 53740, 50928, 53464, 50851, 52577, 51365, 50456, 53464, 52256, 52577, 52256, 57289, 51423, 51028, 51534, 53517, 51100, 52089, 51100, 50852, 53730, 53098, 51181, 51585, 50902, 51542, 53517, 51103, 51491, 52826, 51113, 53849, 52089, 51103, 51577, 52281, 50908, 51361, 53569, 51114, 51058, 63901, 50928, 51816, 51123, 52092, 51365, 50444, 57716, 54068, 53740, 50982, 51816, 53588, 52092, 53588, 63932, 52019, 50322, 51097, 74148, 50914, 63012, 61803, 50928, 56682, 51274, 50877, 51244, 57716, 51218, 51897, 52762, 50902, 51008, 51114, 51008, 63901, 53962, 51857, 50879, 61744, 50845, 58105, 62571, 51328, 51114, 51534, 58385, 50995, 50852, 54435, 53430, 51181, 51585, 51114, 51423, 50902, 51749, 53517, 50889, 51491, 51801, 51113, 51801, 51384, 51671, 52089, 50889, 61744, 51318, 51577, 52281, 50891, 51453, 50928, 60497, 51008, 53517, 50889, 52089, 50889, 63901, 50928, 52092, 50907, 54282, 51365, 51039, 53977, 50928, 52092, 51243, 54282, 51748, 50426, 51114, 51534, 54040, 50889, 51555, 50889, 51970, 51361, 53419, 50928, 57552, 51161, 53517, 50914, 52089, 50914, 51897, 52763, 50902, 51008, 51114, 51058, 54587, 51095, 51733, 51330, 52123, 59156, 53740, 50928, 55331, 51542, 51114, 51477, 54587, 51100, 52405, 51330, 52123, 51100, 50852, 53730, 53098, 51181, 51585, 53517, 51077, 51384, 51671, 52089, 51077, 51577, 52281, 50870, 51361, 53569, 50902, 52363, 50322, 50974, 63901, 50928, 52092, 50851, 54282, 51142, 51180, 53740, 50982, 52092, 51671, 54282, 52727, 63932, 51542, 51114, 51542, 54040, 51157, 51555, 51157, 63012, 61803, 50928, 54468, 51356, 53517, 51159, 52089, 51159, 51897, 52762, 50902, 51328, 51114, 51423, 54587, 50914, 51733, 51330, 52123, 50914, 63901, 54114, 51181, 61471, 51328, 51114, 51328, 53517, 50914, 52405, 51330, 52089, 52903, 50852, 54435, 53430, 51137, 51585, 54040, 50889, 51088, 51592, 51357, 51592, 51926, 52431, 51555, 50889, 51577, 52281, 50870, 51453, 50928, 55331, 51423, 50951, 51423, 63901, 50928, 52092, 50984, 52627, 50912 ]
[ 0, 250, 765, 15855, 2125, 14, 115, 28, 341, 25, 10, 19834, 6, 4246, 41, 30062, 620, 7085, 12280, 642, 8, 3551, 139, 4, 20, 6711, 16, 11653, 8, 20455, 9, 1619, 6, 19, 10, 11602, 9, 11098, 8, 26545, 4, 23973, 11, 274, 538, 8, 231, 73, 398, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50631, 50462, 54428, 59369, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 54254, 50807, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 54254, 50807, 52566, 50918, 53448, 57944, 53647, 52424, 53118, 50807, 54254, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53448, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 54254, 50807, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 54254, 50807, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 54254, 50807, 52566, 50918, 53448, 57944, 53647, 52424, 53118, 50807, 54254, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53448, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 53118, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 54428, 50807, 53267, 50918, 56774, 57944, 53000, 52424, 53118, 50807, 52697, 52728, 54428, 50795, 53267, 50918, 53448, 76621, 53647, 62735, 54723, 59369, 52697, 50807, 53647, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 53267, 50807, 54428, 52728, 54428, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 52566, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 53118, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 52566, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 54723, 59369, 53118, 50807, 53647, 50807, 51540, 54428, 50807, 52697, 50918, 53155, 57944, 53647, 52424, 52650, 50807, 54428, 52728, 53436, 50807, 53118, 50918, 53448, 51161, 50462, 53647, 59369, 52890, 50807, 53436, 50807, 51540, 54428, 50807, 54969, 50918, 54959, 57944, 53436, 52424, 52650, 50807, 53039, 52728, 53000, 50807, 53118, 50918, 53879, 51161, 50462, 54254, 59369, 53118, 50807, 52697, 50807, 51540, 52890, 50807, 52566, 50918, 53398, 57944, 52650, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 53267, 59369, 52890, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 54428, 50807, 53267, 50918, 56774, 57944, 53000, 52424, 53118, 50807, 52697, 52728, 54428, 50795, 53267, 50918, 53448, 76621, 53647, 62735, 54723, 59369, 52697, 50807, 53647, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 53267, 50807, 54428, 52728, 54428, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 52566, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 53118, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 52566, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 54723, 59369, 53118, 50807, 53647, 50807, 51540, 54428, 50807, 52697, 50918, 53155, 57944, 53647, 52424, 52650, 50807, 54428, 52728, 53436, 50807, 53118, 50918, 53448, 51161, 50462, 53647, 59369, 52890, 50807, 53436, 50807, 51540, 54428, 50807, 54969, 50918, 54959, 57944, 53436, 52424, 52650, 50807, 53039, 52728, 53000, 50807, 53118, 50918, 53879, 51161, 50462, 54254, 59369, 53118, 50807, 52697, 50807, 51540, 52890, 50807, 52566, 50918, 53398, 57944, 52650, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 53267, 59369, 52890, 50807, 53039, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 53472, 50918, 53267, 50918, 53448, 51161, 50474, 53118, 50807, 53039, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 52697, 50807, 53472, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 54428, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 53267, 50807, 53472, 50918, 53448, 51161, 50462, 52566, 59369, 53118, 50807, 52697, 50807, 51540, 52890, 50807, 52566, 50918, 53398, 57944, 53118, 52424, 53715, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 53118, 50807, 53039, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 52697, 50807, 53472, 50918, 53155, 51161, 50462, 52697, 59369, 53267, 50807, 53000, 50807, 51540, 54428, 50807, 52697, 50918, 53448, 57944, 53436, 52424, 53267, 50807, 53039, 52728, 53000, 50807, 53118, 50918, 56774, 51161, 50462, 54254, 59369, 53267, 50807, 52697, 50807, 51540, 52697, 50795, 53118, 50918, 53941, 59047, 54254, 51631, 53647, 52424, 52890, 50807, 54254, 52728, 52697, 50807, 53267, 50918, 54296, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728 ]
[ 0, 250, 2933, 8, 9066, 5175, 3152, 2214, 19, 81, 9756, 8, 30587, 29589, 6, 23396, 30, 10, 2635, 12638, 1451, 11, 155, 73, 306, 86, 4, 20, 33215, 16739, 9, 211, 119, 6, 272, 6, 3676, 6, 1918, 6, 8, 211, 6670, 10, 25306, 5466, 11, 42, 765, 2125, 6, 7630, 14805, 3156, 9, 814, 8, 10603, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50622, 51034, 50804, 53802, 50837, 63311, 80120, 80120, 51306, 54519, 80120, 80120, 51306, 57493, 80120, 51258, 50419, 50804, 71905, 71905, 51258, 55207, 71905, 71905, 51258, 50421, 50804, 63272, 51129, 53951, 63272, 63272, 51129, 53327, 63272, 62348, 51004, 57453, 62348, 51004, 57363, 62348, 62348, 51004, 51302, 56870, 56870, 50982, 57773, 56870, 50982, 59493, 56870, 56870, 50928, 54321, 57282, 57282, 50928, 57096, 57282, 64161, 50804, 57282, 55536, 53814, 50804, 55536, 55536, 62713, 50804, 55536, 50908, 53924, 54835, 54835, 50891, 52594, 54835, 54835, 50891, 55935, 54538, 57892, 50804, 54538, 54538, 52904, 50804, 54538, 54538, 57477, 50804, 54839, 50863, 60409, 54839, 54839, 50863, 53012, 54839, 53802, 50837, 55258, 53802, 60362, 50804, 53802, 53802, 53027, 50804, 54528, 54528, 57013, 50804, 54528, 50825, 53526, 54528, 54528, 50835, 52612, 54518, 54518, 50835, 57471, 54518, 50835, 57048, 54518, 55018, 50829, 51034, 50804, 55018, 55018, 56075, 50804, 55018, 50834, 63311, 54617, 54617, 50834, 54519, 54617, 54617, 50834, 57493, 53784, 59346, 50804, 53784, 53784, 52761, 50804, 53784, 53784, 61266, 50804, 53966, 50839, 53951, 53966, 53966, 50839, 53327, 53966, 54131, 50841, 57453, 54131, 50841, 57363, 54131, 54131, 50841, 51302, 54212, 54212, 55882, 50804, 54212, 50828, 59493, 54212, 54212, 50846, 54321, 54499, 54499, 50846, 57096, 54499, 59476, 50804, 52572, 52572, 52209, 50804, 52572, 52572, 57201, 50804, 52572, 50884, 53924, 54866, 54866, 50884, 52594, 54866, 54866, 50884, 55935, 53338, 61808, 50804, 53338, 53338, 50895, 53550, 53338, 53338, 59575, 50804, 53479, 50883, 60409, 53479, 53479, 50883, 53012, 53479, 53850, 50961, 55258, 53850, 50961, 62177, 53850, 53850, 54586, 53212, 50934, 53893, 67562, 53212, 50934, 64281, 53212, 50934, 54201, 51031, 52612, 54201, 54201, 51031, 57471, 54201, 51031, 57048, 70763, 50817, 51034, 67677, 75503, 78268, 51593, 55506, 75767, 55453, 54404, 52630, 74187, 75503, 51323, 50889, 51593, 53912, 76633, 51497, 50889, 51323, 50889, 51478, 50889, 51034, 51263, 51141, 51188, 51141, 51245, 51141, 51746, 70303, 56718, 57300, 51823, 50805, 51593, 52446, 51499, 71685, 78268, 51478, 50889, 51034, 67677, 67677, 78268, 51593, 50889, 51770, 54243, 74187, 67677, 51323, 50889, 51593, 50889, 51770, 53912, 76633, 67677, 51323, 50889, 51593, 50889, 52106, 50889, 51034, 51263, 51141, 51347, 51141, 51245, 51141, 51593, 51141, 51770, 70303, 69619, 63708, 62069, 51746, 50805, 51478, 52446, 74187, 67677, 75503, 51323, 50889, 51593, 50889, 51034, 51498, 71685, 51497, 50889, 51323, 50889, 51478, 54243, 71163, 67677, 75503, 78268, 51593, 53912, 53371, 50889, 51499, 71685, 51497, 50889, 51746, 50889, 51034, 51767, 51538, 51347, 51538, 51404, 51538, 51245, 51538, 51593, 51538, 50804, 51463, 50817, 63311, 54617, 54617, 50834, 54519, 54617, 54617, 50834, 57493, 53784, 59346, 50804, 53784, 53784, 52761, 50804, 53784, 53784, 61266, 50804, 53966, 50839, 53951, 53966, 53966, 50839, 53327, 53966, 54131, 50841, 57453, 54131, 50841, 57363, 54131, 54131, 52870, 51245, 50938, 51593, 50938, 66448, 56367, 62462, 51634, 50887, 52294, 50887, 52375, 53988, 54212, 54212, 55882, 50804, 54212, 61146, 51622, 50887, 52341, 50887, 52874, 53988, 54212, 54212, 50846, 54321, 54499, 54499, 59971, 51634, 50887, 52294, 50887, 52375, 53988, 54499, 59476, 50804, 52572, 52572, 52209, 51245, 50938, 51478, 50938, 55317, 64378, 62462, 51622, 50887, 52341, 50887, 52874, 53988, 52572, 52572, 57201, 50804, 52572, 59871, 52294, 50887, 52375, 50887, 54338, 53988, 54866, 54866, 50884, 52594, 54866, 54866, 63061, 52341, 50887, 52874, 50887, 53687, 53988, 53338, 61808, 50804, 53338, 53338, 54292, 51245, 50938, 51770, 50938, 55535, 50805, 58157, 62462, 52294, 50887, 52375, 50887, 54338, 53988, 53338, 53338, 59575, 50804, 53479, 67268, 52341, 50887, 52874, 50887, 53687, 53988, 53479, 53479, 50883, 53012, 53479, 53850, 73431, 52375, 50887, 54338, 50887, 53549, 53988, 53850, 50961, 62177, 53850, 53850, 54586, 63214, 50938, 51409, 50938, 51746, 50938, 52106, 50938, 62462, 52341, 50887, 52874, 50887, 53687, 53988, 53893, 53893, 67562, 53212, 50934, 64281, 52375, 50887, 54338, 50887, 53549, 53988, 53893, 54201, 51031, 52612, 54201, 54201, 51031, 50448, 52874, 50887, 53687, 50887, 55652, 53988, 54201, 51031, 57048, 70763, 50817, 51034, 74934, 50889, 51767, 50889, 78268, 51593, 50889, 51940, 50889, 52375, 51013, 53687, 51013, 55652, 56946, 75767, 55453, 54404, 52630, 55535, 50889, 74683, 78268, 51593, 50889, 51940, 50889, 52375, 51013, 53687, 51013, 55652, 51013, 53431, 55453, 54404, 52676, 53371, 50889, 71163, 78268, 51593, 50889, 51940, 50889, 52375, 51013, 53687, 51013, 55652, 51013, 53431, 55453, 54404, 50817, 51034, 51767, 51141, 51347, 51141, 51245, 51141, 51593, 51141, 51940, 51141, 52375, 51933, 53687, 51933, 55652, 51933, 53431, 55018, 55453, 54404, 78212, 54538, 50870, 57773, 54538, 50863, 59493, 54839, 54839, 50837, 54321, 53802, 53802, 50825, 57096, 54528, 59277, 50804, 54528, 54518, 52818, 66448, 56367, 62462, 51746, 50805, 52106, 52918, 54518, 55018, 57107, 50804, 55018, 50834, 53924, 54617, 54617, 50834, 52594, 53784, 53784, 50820, 55935, 53966, 57320, 50804, 53966, 54131, 53116, 51593, 51157, 51770, 51157, 74934, 50889, 51767, 50889, 51245, 55506, 54131, 54212, 56068, 50804, 54212, 50828, 60409, 54499, 54499, 50846, 53012, 52572, 52572, 50818, 55258, 54866, 50884, 62177, 54866, 53338, 53885, 50804, 53338, 53338, 50883, 64614, 53479, 50883, 53526, 53850, 53850, 50961, 52612, 53893, 53893, 72989, 53212, 50934, 51031, 57048, 54201, 54201, 50817, 51034, 53371, 50889, 71163, 78268, 51746, 50889, 52106, 50889, 54338, 51013, 53549, 51013, 57714, 56946, 75767, 55453, 54404, 52630, 52484, 50889, 51499, 50889, 78268, 51746, 50889, 52106, 50889, 54338, 51013, 53549, 51013, 57714, 51013, 53431, 55453, 54404, 52676, 64606, 51188, 50889, 78268, 51746, 50889, 52106, 50889, 54338, 51013, 53549, 51013, 57714, 51013, 53431, 55453, 54404, 50817, 51034, 53371, 51141, 51263, 51141, 51245, 51141, 51746, 51141, 52106, 51141, 54338, 51013, 53549, 51013, 57714, 51013, 53431, 55018, 55453, 54404, 52630, 52874, 51013, 53687, 51013, 55652, 56946, 54538, 50870, 57773, 54538, 50863, 59493, 54839, 54839, 50837, 54321, 53802, 53802, 50825, 57096, 54528, 59277, 50804, 54528, 54518, 52818, 61139, 59666, 62462, 79774, 51770, 52918, 54518, 55018, 57107, 50804, 55018, 50834, 53924, 54617, 54617, 50834, 52594, 53784, 53784, 50820, 55935, 53966, 57320, 50804, 53966, 54131, 53116, 51746, 51157, 51478, 51157, 53371, 50889, 71163, 78268, 52375, 50879, 54338, 50879, 53549, 53543, 54131, 54212, 56068, 50804, 54212, 50828, 60409, 54499, 54499, 50846, 53012, 52572, 52572, 50818, 55258, 54866, 50884, 62177, 54866, 53338, 53885, 52341, 50924, 52874, 50924, 53687, 54593, 53338, 53338, 50883, 64614, 53479, 50883, 53526, 53850, 53850, 50961, 52612, 53893, 53893, 72989, 53212, 50934, 51031, 57048, 54201, 54201, 50817, 51034, 51767, 50889, 67677, 78268, 51593, 50889, 51770, 50889, 52375, 51013, 53687, 51013, 55652, 56946, 75767, 55453, 54404, 52630, 56489, 57300, 75121, 68695, 52106, 50805, 52375, 50879, 54338, 50879, 57714, 54729, 61139, 59666, 62462, 79774, 51770, 50805, 52375, 50879, 53687, 50879, 55652 ]
[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 6735, 9691, 12638, 4, 20, 2125, 16, 11, 83, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 10529, 163, 5683, 4, 20, 1049, 33215, 16739, 10726, 9, 1918, 8, 3676, 6, 8216, 7, 5, 2214, 18, 1372, 8, 19448, 5466, 6, 442, 24, 10686, 13, 304, 11, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50426, 59544, 52565, 59544, 52396, 59544, 50818, 50799, 59544, 52437, 59544, 52565, 70552, 51516, 62352, 50795, 59544, 50818, 51699, 51918, 51649, 51060, 51578, 51060, 51027, 51060, 51883, 60866, 70552, 51516, 62352, 50795, 59544, 50818, 51699, 51923, 51007, 51060, 51275, 51060, 51050, 51060, 51887, 51060, 61464, 50983, 50939, 50983, 51007, 50983, 51144, 50983, 51308, 50983, 51275, 50983, 51234, 50983, 51246, 51358, 50960, 51358, 50929, 51358, 51064, 51358, 67472, 51074, 52602, 59492, 65122, 52417, 59637, 60613, 66780, 75271, 61565, 51234, 50795, 67472, 51074, 52602, 51646, 59637, 60613, 66780, 75271, 61565, 51234, 50795, 67472, 51074, 52602, 51918, 50847, 62641, 64276, 50807, 51099, 78922, 51275, 50807, 51234, 50807, 61351, 71890, 56745, 52602, 52728, 65122, 52579, 50872, 64700, 64276, 50807, 67334, 76629, 51275, 50807, 51234, 50807, 71890, 56745, 58352, 68137, 52602, 50807, 50799, 67472, 63961, 50847, 64700, 64276, 50807, 71269, 76629, 51275, 79259, 50807, 50960, 50983, 50929, 50983, 51064, 50983, 52776, 52910, 65122, 52417, 53449, 56696, 64227, 64762, 51214, 50795, 67472, 51074, 52776, 51646, 53449, 56696, 70552, 64227, 64762, 51516, 67795, 50983, 50986, 50918, 80145, 51032, 50918, 67472, 51074, 52143, 60865, 78280, 51578, 51798, 70552, 71220, 65122, 52579, 51007, 50795, 61565, 51120, 50795, 52371, 50795, 61464, 50983, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 50983, 51120, 50983, 51131, 51492, 50998, 51492, 50947, 51492, 67472, 51074, 52371, 59492, 65122, 52417, 50872, 61756, 50795, 66780, 63439, 61565, 51085, 50800, 67472, 51074, 52143, 52262, 51120, 50800, 52371, 51724, 50872, 61756, 50795, 66780, 63439, 61565, 51315, 50983, 67472, 51074, 52830, 60865, 50872, 58311, 51007, 50807, 67334, 71269, 51275, 52728, 65122, 52579, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 54197, 50983, 67472, 51074, 51887, 60055, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 52910, 65122, 52417, 50847, 61756, 50795, 64227, 63439, 61565, 51026, 50983, 67472, 51074, 51699, 57222, 70552, 71220, 67472, 59837, 51649, 51060, 51578, 60866, 70552, 51516, 66843, 50807, 65122, 50820, 51883, 53312, 51007, 51060, 51275, 51060, 61464, 50983, 50939, 50983, 51007, 50983, 51144, 50983, 51308, 50983, 51275, 50983, 50997, 50983, 51246, 51358, 50960, 51358, 50929, 51358, 51064, 51358, 67472, 51074, 51638, 59492, 65122, 52417, 59637, 60613, 66780, 75271, 61565, 50997, 50795, 67472, 51074, 51638, 51646, 59637, 60613, 66780, 75271, 61565, 50997, 50795, 67472, 51074, 51638, 51918, 50847, 62641, 64276, 50807, 51099, 78922, 51275, 68518, 50807, 61351, 71890, 56745, 51699, 52728, 65122, 52579, 50872, 64700, 64276, 50807, 67334, 76629, 51275, 65757, 50807, 71890, 56745, 58352, 68137, 51638, 50807, 50799, 67472, 63961, 50847, 64700, 64276, 50807, 71269, 76629, 51275, 68518, 50807, 50960, 50983, 50929, 50983, 51064, 50983, 51699, 52910, 65122, 52417, 72073, 51119, 62352, 50795, 67472, 51074, 51699, 51646, 53449, 56696, 70552, 64227, 64762, 51516, 67795, 50807, 50986, 50918, 80145, 51032, 50918, 67472, 51074, 52143, 53218, 78280, 51578, 51798, 70552, 51516, 67795, 50795, 65122, 50820, 52143, 51923, 51007, 50795, 61565, 51120, 50795, 52371, 50795, 61464, 50983, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 50983, 51120, 50807, 51131, 51605, 50998, 51605, 50947, 51605, 67472, 51074, 52371, 52910, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 51120, 50807, 65122, 50820, 52371, 53182, 67472, 55659, 50872, 61756, 50795, 66780, 63439, 61565, 67472, 59837, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 51120, 50807, 67472, 51074, 52371, 52728, 67472, 51074, 65122, 52579, 50847, 50918, 50909, 50918, 51099, 50918, 51153, 50918, 51085, 52382, 50986, 52382, 50929, 52382, 51032, 52382, 67472, 51074, 52143, 52382, 50799, 51149, 51605, 51489, 51605, 51789, 51605, 67472, 55752, 65122, 52417, 72073, 63439, 67472, 55659, 51007, 50795, 61565, 67472, 59837, 56696, 51153, 51798, 72073, 63439, 65122, 52579, 53449, 51007, 50983, 64227, 51275, 50983, 51596, 50983, 54868, 50807, 51131, 51492, 50998, 51492, 50947, 51492, 67472, 51074, 52371, 52910, 79274, 75707, 51144, 50983, 51119, 50983, 51120, 50807, 65122, 50820, 52371, 53182, 67472, 55659, 51085, 50795, 67472, 51074, 52143, 51918, 50872, 54716, 66780, 63439, 51120, 50807, 52371, 52728, 56696, 64762, 51752, 50795, 65122, 52579, 59792, 71168, 51120, 50807, 51789, 50795, 52371, 50807, 61464, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 51596, 50918, 67472, 63961, 51085, 50795, 52143, 51631, 79274, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 50983, 51120, 50795, 65122, 50820, 52371, 51736, 51085, 50795, 67472, 51074, 52143, 51646, 51120, 50807, 67472, 51074, 52371, 53218, 79274, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 58624, 51050, 50807, 65122, 50820, 51887, 50807, 59007, 54716, 56696, 51232, 50795, 63439, 64762, 51027, 50918, 67472, 51074, 51883, 54994, 53449, 64227, 52182, 51631, 50850, 50918, 50909, 50918, 59792, 51119, 50918, 51153, 50918, 71168, 51789, 50795, 65122, 52417, 51149, 50983, 51489, 50983, 51789, 57222, 51324, 50983, 67472, 51074, 54333, 58624, 56696, 64762, 51752, 50795, 65122, 52579, 75707, 50909, 50983, 51149, 50983, 51119, 50983, 51153, 50983, 51489, 50983, 51279, 50807, 51789, 50983, 53215, 50807, 50799, 67472, 63961, 51279, 50795, 53215, 51631, 72073, 56696, 63439, 64762, 51279, 50795, 51752, 50795, 65122, 50820, 53215, 51736, 51257, 50807, 51435, 50807, 51279, 50795, 51606, 50807, 53215, 51646, 51279, 50807, 67472, 51074, 53215, 53218, 51149, 50807, 51489, 50807, 51789, 52728, 50850, 62641, 50807, 51119, 65801, 70928, 50807, 65122, 50820, 52143, 53312, 51149, 50807, 51489, 50807, 51789, 50807, 54868, 50983, 67472, 51074, 52371, 60055, 51007, 50983, 51275, 50983, 51596, 59492, 50872, 59331, 67334, 78582, 65122, 52417, 51120, 50795, 67472, 51074, 52371, 51646, 51120, 50795, 67472, 51074, 52371, 51918, 50872, 59331, 67334, 78582, 51120, 50807, 52371, 52728, 65122, 52579, 53449, 64227, 51120, 50807, 52182, 50795, 52371, 50807, 50799, 51257, 50807, 51435, 50807, 51606, 50807, 67472, 63961, 51085, 50795, 52143, 51631, 50850, 64276, 50807, 51257, 50807, 78582, 51275, 50807, 51435, 50807, 51120, 50795, 51606, 50807, 65122, 50820, 52371, 51736, 51085, 50795, 67472, 51074, 52143, 51646, 51257, 50807, 51435, 50807, 51120, 50807, 51606, 50807, 67472, 51074, 52371, 52728, 50850, 60613, 68395, 63439, 61565, 51435, 59851, 50807, 51606, 50795, 65122, 50820, 51887, 53312, 51149, 50807, 51489, 50807, 51789, 50807, 56310, 50918, 67472, 51074, 51883, 54994, 50909, 50983, 51153, 50983, 51752, 59492, 50868, 59331, 51232, 50807, 78582, 65122, 52600, 51324, 50983, 67472, 51074, 54333, 58624, 50868, 54716, 56696, 51232, 50795, 63439, 64762, 65122, 52579, 50868, 75006, 78418, 50918, 54120, 50795, 53215, 50918, 50799, 59792, 71168, 51789, 50795, 67472, 63961, 51149, 50807, 51489, 50807, 51789, 52910, 50850, 62641, 50807, 51119, 78922, 65122, 52417, 51257, 50807, 51435, 50807, 51279, 50795, 51606, 50807, 67472, 51074, 53215, 51646, 51279, 50795, 67472, 51074, 53215, 51918, 59792, 71168, 51279, 50795, 51789, 50795, 53215, 51798, 72073, 71684, 63439, 64762, 51489 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 13305, 6, 21979, 8669, 6, 20535, 2810, 6, 21979, 9590, 6, 8, 38668, 22052, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 230, 6, 211, 6, 272, 6, 211, 6, 8, 3676, 406, 3639, 7, 5, 2214, 18, 19448, 8, 2365, 3618, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50791, 50806, 51544, 50806, 51570, 50806, 52320, 50806, 57732, 51991, 50420, 50988, 51538, 50423, 50885, 51538, 51544, 57200, 50847, 51077, 50435, 50909, 64712, 52043, 52808, 52931, 52257, 51591, 59008, 51538, 67653, 51538, 50423, 50885, 51623, 51544, 57200, 50847, 51077, 50435, 50909, 68499, 51440, 53969, 51808, 54672, 51607, 50849, 52320, 59908, 51669, 51307, 69768, 51991, 50420, 50988, 51538, 50423, 51042, 51623, 51544, 57200, 50847, 51077, 50435, 50909, 64712, 52043, 55859, 50806, 79053, 51307, 51332, 51538, 50420, 50988, 51623, 50423, 50885, 51623, 51544, 57200, 50847, 51446, 50435, 50909, 51204, 52320, 50806, 55929, 51189, 51434, 51103, 51607, 51103, 52043, 51103, 54437, 51103, 51332, 51991, 50791, 54906, 52302, 50988, 51538, 50791, 56828, 50885, 51538, 51768, 51331, 63043, 50847, 51077, 51361, 57244, 51461, 60940, 51141, 52963, 53294, 51461, 51159, 51320, 74510, 54411, 51493, 50914, 55243, 51100, 51808, 50917, 51434, 50897, 51669, 50897, 50903, 52319, 50894, 53202, 51189, 51440, 51486, 51607, 51486, 53369, 51486, 51515, 51486, 51434, 51486, 51164, 51538, 51320, 54892, 50946, 51538, 50791, 56828, 50885, 51623, 51768, 51331, 57469, 50847, 51077, 51361, 57244, 51140, 60940, 71109, 53662, 52676, 51140, 52972, 50898, 54586, 51140, 51159, 75852, 51955, 51331, 54210, 51273, 51420, 57841, 51461, 50812, 68515, 51191, 52745, 51189, 51434, 51189, 51808, 51191, 51669, 51189, 51614, 51191, 51791, 51991, 51320, 54892, 50988, 51538, 50791, 56828, 51042, 51623, 51768, 51331, 63043, 50847, 51077, 51361, 61968, 52659, 62552, 51141, 51320, 53294, 52659, 51159, 51808, 51100, 52745, 51100, 51614, 51100, 51434, 51100, 51320, 74510, 55551, 51614, 51159, 51607, 50917, 52745, 51100, 51440, 55758, 51273, 71547, 52319, 54712, 52745, 50812, 51808, 50812, 51669, 50812, 55929, 50914, 51434, 51413, 51607, 51413, 52043, 51413, 51774, 51189, 51332, 51538, 50791, 54906, 52302, 50988, 51623, 50791, 62231, 50885, 51623, 51768, 51331, 57469, 50847, 51141, 51361, 57244, 51461, 60940, 51204, 50791, 53662, 52676, 51461, 50836, 51774, 51124, 51434, 51124, 51607, 51110, 52043, 51110, 51320, 54586, 51461, 50849, 51320, 55551, 55972, 50448, 50847, 52741, 52659, 50917, 51808, 50917, 52745, 51100, 51434, 50897, 51669, 50897, 50935, 50910, 50903, 51331, 67641, 51007, 52643, 51668, 55593, 67239, 50909, 64333, 50935, 50808, 62987, 51191, 51660, 50914, 51434, 51191, 51440, 51191, 51607, 51191, 52806, 51307, 50946, 51538, 50791, 54906, 55534, 50909, 51095, 57783, 51623, 50791, 56828, 50868, 51623, 51768, 51331, 57469, 51660, 51159, 50847, 56632, 51434, 70096, 57244, 52419, 50836, 51669, 56709, 51077, 51320, 53294, 52419, 67425, 55146, 64849, 53711, 51607, 59488, 52319, 54712, 51098, 50849, 53202, 50914, 51515, 51162, 51434, 51159, 51607, 50914, 53369, 51486, 51440, 51159, 51164, 51991, 51320, 54892, 50946, 51538, 50791, 62231, 50885, 51623, 51768, 51331, 57469, 51515, 50917, 50847, 56632, 51434, 67425, 57244, 51140, 50836, 51515, 51191, 51607, 51191, 50909, 78464, 54162, 52676, 51140, 51100, 51320, 54586, 51461, 52217, 53662, 52568, 51140, 61073, 51331, 54210, 51461, 51420, 50949, 54079, 51159, 51774, 51100, 51614, 51100, 51515, 51110, 51440, 51124, 53722, 51894, 51171, 51991, 50791, 54906, 52302, 50946, 51538, 50791, 56828, 50848, 51623, 51768, 51331, 57469, 51515, 56709, 56632, 51440, 51420, 57244, 51273, 50828, 51515, 51100, 51440, 51110, 52043, 51100, 50909, 78464, 54162, 52676, 51273, 53351, 50898, 54586, 51273, 63325, 53711, 51669, 59488, 52319, 54712, 51216, 50849, 53458, 51189, 51614, 51189, 51434, 51189, 51808, 51189, 52769, 51189, 50988, 51991, 50791, 54906, 52302, 51042, 51538, 50791, 56828, 50848, 51623, 51768, 51156, 63043, 50935, 50805, 51361, 57244, 51098, 59072, 51204, 51320, 54968, 51098, 50812, 51614, 50897, 51434, 50897, 51808, 50897, 52769, 53834, 51759, 59120, 51493, 51420, 54586, 51273, 52972, 50898, 58017, 51098, 50849, 51660, 51100, 51440, 50897, 52806, 51100, 51607, 50897, 50903, 51759, 56353, 54128, 55593, 54210, 51273, 50812, 52745, 50897, 51808, 50812, 51660, 50836, 51669, 51420, 57841, 51493, 52972, 50898, 50883, 55929, 51191, 51434, 51103, 51607, 51103, 52043, 51103, 51774, 51103, 51332, 51991, 50791, 54906, 52302, 50988, 51538, 50791, 56828, 50885, 51538, 51768, 51331, 57469, 50847, 51077, 51361, 57244, 51461, 60940, 51141, 51320, 53294, 51461, 53351, 50898, 54586, 51461, 70096, 53711, 51808, 50917, 55243, 51124, 51434, 50917, 51669, 75478, 52319, 56328, 51493, 51124, 53202, 51191, 51434, 51894, 51440, 51486, 51607, 51894, 53369, 51894, 51515, 51486, 51164, 51538, 51320, 54892, 50946, 51538, 50791, 62231, 50885, 51623, 51768, 51331, 63043, 50847, 51077, 51361, 57244, 51140, 60940, 51141, 51320, 53294, 51140, 51159, 51320, 50949, 52129, 51156, 54411, 52419, 58028, 51331, 50949, 51453, 50962, 68515, 51191, 52745, 51189, 51434, 51189, 51808, 51191, 51669, 51191, 51614, 51191, 51791, 51991, 50791, 54906, 52302, 50988, 51538, 50791, 56828, 51042, 51623, 51768, 51331, 57469, 50847, 51077, 51361, 57244, 52659, 62552, 51141, 52963, 54459, 52659, 50836, 51808, 50849, 52745, 50849, 51614, 51100, 51434, 50849, 51320, 54586, 52659, 70096, 55551, 51614, 51100, 51440, 50897, 52745, 50917, 51607, 50897, 51955, 52319, 56328, 51273, 66947, 51614, 50836, 52745, 50812, 51808, 50812, 51669, 50812, 55929, 51191, 51434, 51189, 51607, 51189, 51669, 50836, 52043, 51189, 51774, 51189, 51332, 51538, 50791, 54906, 52302, 50988, 51623, 50791, 56828, 50885, 51623, 51768, 51331, 57469, 50847, 51446, 51361, 61968, 51461, 60940, 51204, 50791, 54162, 52676, 51461, 50849, 51774, 51124, 51434, 51110, 51607, 51100, 52043, 51100, 51320, 54586, 51150, 51420, 53662, 52568, 52659, 50849, 52745, 51100, 51434, 50897, 51808, 50897, 51669, 50897, 50903, 51331, 54210, 51668, 51420, 50949, 62987, 51124, 51434, 51191, 51440, 51191, 51607, 51191, 52806, 51307, 51660, 51159, 50946, 51991, 52963, 50962, 51402, 54658, 50885, 51538, 52963, 62231, 51216, 51100, 50868, 51623, 50903, 71523, 57469, 51660, 55969, 56632, 51434, 63490, 57244, 51669, 55792, 51077, 51320, 53294, 52419, 53351, 50898, 54586, 52419, 60596, 53711, 51434, 77540, 58972, 51759, 56328, 54128, 51100, 53202, 50914, 51515, 51159, 51434, 51191, 51440, 51191, 51607, 51191, 53369, 51894, 51164, 51991, 50791, 54906, 52302, 50946, 51538, 50791, 56828, 50885, 51623, 51768, 51331, 57469, 51515, 50897, 50847, 56632, 51434, 67425, 57244, 51140, 77540, 51189, 50850, 51446, 52963, 53294, 51140, 52972, 50898, 54586, 51140, 75263, 53662, 50817, 51955, 51331, 50962, 51453, 63574, 51614, 51189, 53458, 50914, 52769, 51307, 51434, 51189, 51808, 51189, 50988, 51991, 51320, 54892, 51042, 51538, 50791, 56828, 50848, 51538, 51768, 51331, 57469, 50847, 52605, 51614, 51187, 57244, 51098, 59724, 51446, 51320, 53294, 51098, 51159, 51808, 50917, 51614, 50917, 51434, 55593, 54906, 64849, 56312, 51434, 50897, 51614, 50917, 51607, 52848, 51098, 61073, 52319, 54712, 51434, 50812, 51669, 50812, 51614, 50828, 50799, 52664, 51307, 51683, 51307, 52091, 51307, 52295, 51307, 51461, 50914, 51774, 51189, 51660, 51191, 51434, 51191, 51607, 51191, 51332, 51538, 51320, 54892, 50988, 51623, 50791, 56828, 50885, 51077, 51768, 51331, 53732, 58236, 59589, 51361, 57244 ]
[ 0, 250, 15352, 30054, 1619, 2214, 11, 5, 3495, 8, 13134, 23409, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 17691, 28430, 6, 26432, 636, 3938, 22052, 6, 8, 21979, 9590, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 8, 211, 119, 6, 2351, 10, 19448, 8, 8728, 5466, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50449, 50722, 50290, 51679, 65851, 51312, 50899, 52256, 50997, 52136, 50871, 51965, 51261, 64835, 50908, 51638, 54344, 51251, 54344, 51154, 52397, 52602, 52011, 55858, 66583, 50877, 51233, 50424, 50722, 50295, 52188, 50425, 51560, 51377, 54439, 50955, 50997, 51884, 51026, 52059, 50956, 52482, 50856, 51258, 52481, 51166, 51638, 51697, 51426, 51387, 51088, 51432, 50429, 50989, 50959, 58319, 54378, 67692, 50437, 50722, 50290, 51477, 63808, 75440, 52256, 50899, 52256, 50871, 52441, 51261, 51241, 64852, 51638, 52397, 51251, 52397, 51154, 52025, 52602, 52256, 60027, 51233, 64852, 50460, 50722, 50295, 51172, 50461, 51088, 51387, 54594, 50878, 51026, 51852, 50956, 52048, 51560, 51221, 50856, 51258, 51638, 51737, 51426, 51387, 52481, 54298, 50418, 77663, 55902, 66401, 67692, 50425, 50722, 50290, 60324, 51261, 64835, 50908, 52602, 52011, 51638, 52618, 51251, 52618, 51154, 52397, 50427, 50906, 51212, 50899, 52441, 50997, 52256, 50871, 52441, 63174, 50892, 50437, 79046, 54498, 50861, 56923, 53858, 50871, 50892, 50449, 61331, 51108, 51154, 51166, 52065, 53010, 52776, 52059, 50450, 51086, 52059, 50956, 51233, 50861, 52034, 51098, 51178, 50856, 51258, 51088, 51387, 50459, 50899, 59854, 50722, 50292, 51108, 54206, 51312, 71527, 50900, 53164, 50307, 51466, 51150, 64835, 50908, 51699, 52618, 51299, 52397, 52143, 51333, 51426, 52397, 50425, 50722, 50295, 51097, 53523, 51363, 50856, 59445, 69766, 51097, 51887, 51079, 51883, 51387, 51426, 51697, 51154, 51432, 62322, 76147, 52059, 50956, 52059, 50871, 52482, 51140, 51178, 50856, 51258, 50441, 51378, 71696, 51026, 55876, 51027, 64827, 58811, 51199, 64057, 52378, 50899, 52188, 50871, 52378, 51261, 51121, 64852, 52602, 51432, 51638, 51387, 51251, 51387, 51154, 51387, 50451, 50997, 54771, 50861, 50978, 54708, 57243, 69766, 51679, 51426, 52025, 51154, 52025, 51887, 52256, 51883, 54211, 54578, 51363, 51140, 51218, 53143, 53349, 66583, 51027, 52454, 50307, 66719, 51330, 55592, 51258, 50427, 51026, 57250, 51378, 53193, 51026, 68522, 51027, 61842, 52602, 51074, 51638, 51737, 62335, 52511, 50306, 51884, 50871, 52063, 51261, 51221, 58811, 51199, 64852, 51251, 52192, 51154, 52782, 50439, 50997, 55200, 54708, 57740, 50861, 50892, 50449, 69766, 50995, 51426, 52025, 51154, 52397, 76400, 52056, 50956, 52056, 50871, 51333, 51140, 51218, 53143, 53584, 50908, 51887, 51330, 51883, 52025, 73867, 51411, 55524, 50844, 58916, 50932, 50856, 51258, 50418, 50871, 53728, 57660, 50424, 61522, 50425, 50997, 52048, 58811, 51244, 52602, 52460, 51638, 53892, 51251, 54521, 51154, 61211, 53337, 52378, 50871, 52378, 51261, 64835, 75717, 50902, 51411, 62204, 56923, 53858, 50906, 50892, 50449, 50722, 50296, 54980, 50997, 52063, 50900, 51884, 50916, 51884, 50877, 51043, 51461, 51377, 50856, 51258, 51638, 52179, 51299, 51862, 51301, 52179, 52143, 51432, 50459, 50861, 59854, 69766, 51097, 51154, 55586, 51883, 54829, 51426, 55586, 56310, 52460, 50956, 52034, 50871, 52034, 50861, 51411, 64852, 51887, 51884, 50415, 51140, 51127, 50425, 52143, 77008, 69766, 60095, 50908, 73343, 54100, 50989, 50892, 50722, 50298, 50892, 55903, 58694, 52907, 51753, 57267, 50845, 61331, 50892, 52876, 53349, 51258, 50443, 58916, 55103, 50877, 50845, 54033, 60062, 58811, 51637, 51154, 55574, 64057, 52048, 50899, 52378, 50871, 52048, 50906, 51312, 51261, 64835, 50908, 51638, 54344, 51251, 53697, 52602, 51466, 54852, 51411, 50856, 63026, 51560, 51221, 50722, 50295, 51199, 54439, 50844, 50997, 52063, 50956, 52063, 50861, 52063, 50856, 51258, 51638, 52192, 51426, 52192, 51088, 52192, 52481, 51432, 50430, 50989, 53513, 50861, 55167, 67692, 50437, 79046, 51283, 62335, 52056, 50899, 51806, 50906, 51312, 51261, 51241, 64852, 51251, 56615, 52602, 51806, 51638, 54344, 51154, 54344, 69332, 51806, 60027, 51363, 50856, 59119, 51560, 51221, 50722, 50295, 51097, 51638, 52192, 51426, 51697, 51088, 51432, 54594, 50844, 50956, 52216, 50302, 52063, 50861, 51884, 50856, 51258, 52481, 51432, 50417, 50989, 50959, 50421, 50861, 54252, 67692, 50425, 58811, 51878, 60564, 51212, 50899, 52378, 50997, 51738, 50871, 52056, 51261, 64835, 50908, 51251, 54344, 52602, 51466, 51638, 52397, 51154, 52397, 63174, 53913, 50861, 56923, 53858, 50871, 50892, 50449, 58699, 51108, 52776, 56989, 51086, 51884, 50871, 51884, 50861, 52063, 50956, 51363, 75113, 50856, 51258, 51154, 52192, 52065, 51387, 51088, 51697, 50459, 50899, 59854, 55008, 51380, 54206, 51109, 51150, 64835, 50908, 52143, 51333, 51299, 52025, 51426, 52397, 51088, 52397, 50415, 50956, 52056, 50900, 71562, 51466, 50425, 61331, 51108, 53523, 51363, 50856, 59445, 51154, 52192, 62322, 50878, 51027, 52482, 50956, 52059, 50871, 52059, 51140, 51221, 69766, 51312, 50856, 51258, 51883, 52192, 51426, 51824, 51887, 51074, 50441, 51378, 53783, 51026, 55118, 51027, 64913, 50722, 50290, 51419, 64057, 51212, 50871, 51333, 51261, 51377, 56631, 54493, 50908, 51638, 52731, 51251, 52192, 51154, 52731, 52602, 50972, 50451, 50997, 53164, 50306, 69173, 50861, 51212, 54708, 58449, 51154, 54228, 54578, 51233, 69766, 51283, 53143, 53864, 50908, 51883, 54228, 51426, 54211, 51887, 52441, 50415, 51140, 51218, 56947, 50878, 51027, 52378, 50956, 52048, 50871, 52048, 50856, 51258, 50429, 51378, 53193, 51026, 55167, 51027, 52691, 50997, 50892, 51261, 51221, 50722, 50290, 51199, 56631, 59295, 50908, 51638, 52731, 51251, 52192, 52602, 51166, 50439, 50899, 52059, 50871, 52059, 50997, 52460, 51154, 52101, 58365, 50905, 54708, 58145, 51154, 56374, 56415, 51411, 51140, 51417, 69766, 51283, 53143, 53612, 50908, 51887, 52441, 51426, 54228, 51883, 56374, 55524, 64709, 51258, 74850, 53728, 50861, 54252, 50871, 63750, 50871, 52460, 58811, 51080, 52602, 52034, 51251, 55584, 51638, 55197, 51154, 55197, 56759, 52059, 50899, 52059, 50902, 51312, 51261, 51218, 50856, 52958, 50876, 56923, 53858, 50906, 74299, 55008, 54980, 50997, 71451, 78912, 65351, 51043, 51461, 68659, 51258, 52143, 51470, 51638, 52731, 51299, 52192, 51301, 52192, 50460, 50861, 59854, 61331, 50932, 51883, 56329, 51299, 55586, 51154, 55586, 56310, 52056, 50956, 52056, 50871, 52056, 64852, 51887, 51824, 74354, 51312, 51140, 51127, 50425, 69766, 51961, 52143, 51884, 53645, 70946, 59445, 52907, 51376, 63809, 53535, 50307, 51470, 50856, 51258, 69332, 51376, 55895, 50844, 50900, 52845, 50307, 71562, 51333, 51461, 51218, 53410, 59295, 50908, 52143, 52441, 51299, 54228, 51426, 54228, 51088, 54228, 50453, 51086, 53820, 50900, 50822, 56343, 54655, 50861, 50867, 54594, 50892, 50722, 50292, 51312, 52876, 56500, 50908, 53502, 50905, 50425, 50722, 50291, 51480, 51154, 52731, 52776, 55752, 51086, 69442, 65721, 51166, 52659, 51377, 61405, 53612, 51258, 52065, 52192, 51088, 52731, 50427, 51086, 51363, 55203, 50955, 50900, 52256, 50956, 52256, 50861, 52441, 53410, 59295, 50908, 51299, 54211, 51426, 54211, 51088, 54228, 52143, 53674, 50439, 51150, 51241, 50441, 51086, 50955, 55513, 50844, 56343, 61082, 50861, 60062, 50722, 50292, 50995, 56222, 50845, 52876, 53612, 54038, 50900, 77197, 61331, 51172, 51154, 51697, 52776, 52518, 57542, 69442, 65721, 52511, 50303, 51233, 51098, 51221, 55142, 59539, 51258, 52065, 51387, 51088, 51737, 53523, 52256, 50956, 52256, 51026, 52256, 51150, 51218, 53410, 61212, 50908, 51299, 52025, 51426, 52011, 51088 ]
[ 0, 250, 8787, 3495, 15229, 11, 230, 538, 6, 42, 2125, 1931, 21683, 11098, 8, 657, 149, 63, 15352, 30054, 2301, 8, 20425, 619, 4, 590, 10, 2635, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 18399, 6, 17407, 30, 10, 16331, 33215, 13931, 9, 211, 6, 3676, 406, 6, 211, 73, 717, 6, 8, 230, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 50796, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 50916, 50825, 57947, 61111, 50443, 50899, 53114, 58254, 73137, 50916, 51381, 50447, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 50916, 50825, 57910, 51062, 61243, 50899, 50825, 54852, 50827, 57910, 51027, 51080, 50916, 51680, 50417, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 51627, 50441, 61335, 57947, 50999, 53086, 58254, 51220, 62182, 50900, 54043, 57910, 51062, 52989, 70265, 58254, 51220, 55371, 57127, 57947, 61111, 50455, 51086, 53217, 58254, 73137, 51027, 56517, 65113, 57910, 77670, 54852, 50827, 59715, 51050, 51080, 51027, 68026, 76350, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 51080, 50916, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 50861, 50825, 57472, 57910, 51027, 51080, 50440, 50916, 51627, 50441, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 68026, 51680, 50417, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 61022, 57947, 50999, 53086, 58254, 51220, 62182, 50899, 54043, 57910, 51062, 52989, 60906, 58254, 51220, 55371, 50899, 50825, 57947, 61111, 50455, 50900, 53217, 70265, 58254, 51220, 54529, 57127, 57910, 51062, 61243, 51086, 50825, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 70265, 58254, 51220, 55371, 65113, 57947, 50999, 53176, 58254, 51220, 54529, 51085, 50827, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 60906, 57947, 50999, 53086, 58254, 51220, 62182, 50900, 54043, 57910, 51062, 52989, 61335, 58254, 51220, 55371, 57947, 61111, 50455, 51086, 53176, 58254, 51220, 54529, 65113, 57910, 77670, 54852, 50827, 59715, 51050, 51080, 51027, 76350, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57127, 57910, 51062, 61243, 51086, 50825, 54852, 50827, 57910, 51027, 51080, 51027, 52062, 50417, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 61111, 51086, 57131, 58254, 51220, 65241, 51086, 62908, 57910, 77670, 54852, 50827, 59715, 50900, 51283, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 70265, 58254, 51220, 53720, 60906, 57910, 51062, 52788, 57472, 59715, 51050, 79193, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 55524, 50827, 57472, 57947, 51279, 51172, 50417, 61022, 57472, 50876, 53591, 51279, 50827, 61022, 57472, 50876, 52580, 51279, 51172, 50435, 51214, 52788, 51279, 55608, 51279, 53086, 51214, 52985, 51279, 55371, 61022, 57472, 57947, 51214, 51172, 50459, 61022, 57472, 57947, 54578, 50827, 57472, 57947, 51247, 51172, 50417, 58529, 57472, 50876, 53591, 51247, 50827, 50871, 51680, 50877, 51680, 50876, 51680, 50426, 51247, 51172, 50435, 52206, 52788, 51247, 55608, 51247, 54043, 51247, 52989, 51247, 50827, 58529, 57472, 50876, 55371, 51247, 50827, 58529, 57472, 50876, 53176, 51214, 50838, 53997, 51172, 50916, 51627, 50861, 51627, 50876, 51627, 50423, 51085, 52580, 51085, 51172, 50435, 51324, 50827, 65058, 67668, 50973, 52788, 51085, 51172, 50916, 58794, 58327, 75102, 51324, 52989, 51085, 50827, 61022, 58219, 50876, 55371, 51324, 51172, 50899, 51172, 50861, 51172, 50973, 51172, 55547, 58753, 51592, 50916, 51592, 50877, 75856, 51279, 53591, 51214, 52580, 51279, 54889, 51214, 53720, 51214, 52788 ]
[ 0, 250, 25306, 19834, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 41, 9066, 8, 814, 12, 21330, 5466, 4, 1515, 24496, 6, 6755, 1177, 26660, 1634, 6, 33704, 5675, 8, 26432, 636, 3938, 22052, 6, 8, 15054, 17838, 35810, 561, 7, 1045, 10, 2933, 8, 23975, 2369, 18795, 4, 8504, 11, 83, 3694, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 24, 1575, 10, 33215, 16739, 9, 381, 6, 274, 6, 274, 10431, 406, 6, 230, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51996, 51449, 53151, 74818, 57889, 50812, 53215, 52296, 53879, 50812, 52371, 51620, 53398, 50812, 52143, 52765, 53448, 50812, 51887, 51628, 54959, 50812, 52481, 52262, 55403, 50812, 52316, 51724, 57478, 50812, 53148, 52831, 55323, 50812, 52065, 51820, 53941, 50812, 51883, 52513, 53827, 50812, 51251, 51757, 53011, 50812, 51299, 52809, 54648, 50812, 51154, 51754, 55724, 50812, 51426, 52567, 59624, 50812, 70058, 50799, 53215, 54153, 51883, 54153, 50711, 50289, 54153, 55308, 54153, 50659, 50301, 50795, 57375, 51428, 50812, 53440, 54657, 68007, 50795, 60819, 52732, 56133, 50843, 53383, 59173, 50795, 56531, 51428, 50836, 53764, 53705, 68007, 50795, 60819, 52732, 56579, 50843, 59701, 50843, 53891, 59420, 50795, 56511, 51428, 50836, 54268, 54305, 68888, 50795, 56577, 52732, 56518, 50798, 53886, 60230, 50795, 54841, 52732, 50857, 54710, 54199, 50659, 50301, 50795, 57375, 51428, 50836, 55975, 50857, 50799, 68007, 50795, 60819, 52732, 50857, 53440, 54657, 59173, 50795, 56531, 51428, 55155, 50843, 53383, 68007, 50795, 60819, 52732, 50857, 53764, 61699, 50843, 53705, 59420, 50795, 56511, 51428, 55310, 50843, 53891, 68888, 50800, 56577, 52154, 58545, 60230, 50795, 54841, 51428, 50836, 54032, 56518, 71291, 50800, 54610, 52154, 54086, 52602, 54153, 51638, 54153, 50711, 50290, 54153, 54277, 54153, 50659, 50301, 50795, 57375, 51428, 50836, 54710, 54199, 68007, 50795, 60819, 52732, 50857, 55975, 50857, 50799, 59173, 50795, 56531, 51428, 50836, 53440, 54657, 68007, 50795, 60819, 52732, 56133, 50843, 50857, 59915, 53383, 59420, 50795, 56511, 51428, 50836, 53764, 53705, 68888, 50795, 56577, 52732, 50857, 56215, 53574, 60230, 50795, 54841, 52732, 50857, 54268, 54305, 50659, 50301, 50795, 57375, 51428, 55932, 50843, 54086, 68007, 50795, 60819, 52732, 50857, 54710, 54199, 59173, 50795, 56531, 51428, 50836, 55975, 50857, 50799, 68007, 50795, 60819, 52732, 50857, 53440, 65942, 50843, 54657, 59420, 50795, 56511, 51428, 55155, 50843, 53383, 68888, 50800, 56577, 52154, 57050, 60230, 50795, 54841, 51428, 53695, 50843, 56579, 71291, 50800, 54610, 52154, 53891, 54333, 54153, 52065, 54153, 50711, 50291, 54153, 56117, 54153, 50659, 50301, 50795, 57375, 51428, 50836, 54268, 54305, 68007, 50795, 60819, 52732, 56518, 50843, 54086, 59173, 50795, 56531, 51428, 50836, 54710, 54199, 68007, 50795, 60819, 52732, 50857, 55975, 59854, 50843, 50857, 50799, 59420, 50795, 56511, 51428, 50836, 53440, 54657, 68888, 50795, 56577, 52732, 56133, 50798, 53425, 60230, 50795, 54841, 52732, 50857, 53764, 53705, 50659, 50301, 50795, 57375, 51428, 55310, 50843, 53891, 68007, 50795, 60819, 52732, 50857, 54268, 54305, 59173, 50795, 56531, 51428, 55932, 50843, 54086, 68007, 50795, 60819, 52732, 50857, 54710, 62802, 50843, 54199, 59420, 50795, 56511, 51428, 50836, 55975, 50857, 50799, 68888, 50800, 56577, 52154, 59240, 60230, 50795, 54841, 51428, 50836, 52399, 56133, 71291, 50800, 54610, 52154, 53383, 51887, 54153, 51154, 54153, 56708, 54153, 51996, 54153, 50659, 50301, 50795, 57375, 51428, 50836, 53764, 53705, 68007, 50795, 60819, 52732, 56579, 50843, 53891, 59173, 50795, 56531, 51428, 50836, 54268, 54305, 68007, 50795, 60819, 52732, 56518, 50843, 60062, 50843, 54086, 59420, 50795, 56511, 51428, 50836, 54710, 54199, 68888, 50795, 56577, 52732, 57400, 50798, 50836, 50799, 60230, 50795, 54841, 52732, 50857, 53440, 54657, 50659, 50301, 50795, 57375, 51428, 55155, 50843, 53383, 68007, 50795, 60819, 52732, 50857, 53764, 53705, 59173, 50795, 56531, 51428, 55310, 50843, 53891, 68007, 50795, 60819, 52732, 50857, 54268, 62801, 50843, 54305, 59420, 50795, 56511, 51428, 55932, 50843, 54086, 68888, 50800, 56577, 52154, 57168, 60230, 50795, 54841, 51428, 53875, 50843, 57400, 71291, 50800, 54610, 52154, 50857, 50799, 52196, 51103, 52560, 50828, 52197, 64391, 50812, 50416, 52560, 55221, 52560, 61923, 52560, 52981, 52560, 57466, 52560, 54069, 52560, 53756, 62046, 52560, 52905, 52560, 54119, 50812, 50428, 52560, 54694, 52560, 54119, 64123, 52560, 52844, 52560, 76494, 59890, 52560, 54002, 52560, 58414, 52560, 53219, 53339, 51413, 52560, 50828, 53286, 51413, 50843, 75804, 52560, 54735, 52560, 54119, 70981, 52560, 52878, 52560, 54119, 61094, 52560, 54255, 52560, 75223, 61216, 52560, 53035, 52560, 75223, 69008, 52560, 54363, 52560, 58014, 52560, 52738, 52560, 54119, 62371, 52560, 54370, 52560, 54119, 60091, 52560, 50828, 50799, 51946, 51189, 52560, 50836, 52464, 62343, 54080, 54235, 53351, 52710, 50843, 50812, 53764, 52749, 52665, 51591, 55662, 50836, 53367, 51591, 51456, 53574, 52560, 55250, 50812, 54268, 52597, 50843, 54672, 54235, 50380, 54936, 52555, 51553, 53875, 55662, 55250, 54421, 50843, 50812, 50799, 52196, 51103, 52560, 50828, 52197, 64391, 50812, 50416, 52560, 55221, 52560, 61923, 52560, 52981, 52560, 57466, 52560, 54069, 52560, 53756, 62046, 52560, 52905, 52560, 54119, 50812, 50428, 52560, 54694, 52560, 54119, 64123, 52560, 52844, 52560, 76494, 59890, 52560, 54002, 52560, 58414, 52560, 53219, 52560, 54119, 57577, 53339, 51413, 53286, 51413, 50440, 52560, 54735, 52560, 54119, 70981, 52560, 52878, 52560, 54119, 61094, 52560, 54255, 52560, 75223, 61216, 52560, 53035, 52560, 75223, 69008, 52560, 54363, 52560, 58014, 52560, 52738, 52560, 54119, 62371, 52560, 54370, 52560, 54119, 60091, 52560, 50828, 50799, 51946, 51191, 52560, 50836, 52464, 62288, 54080, 54235, 53351, 52710, 50843, 50812, 53764, 52749, 51836, 51591, 55662, 50836, 52253, 51591, 51456, 53574, 52560, 55250, 50812, 54268, 52597, 50843, 54672, 54235, 50380, 54936, 52555, 51553, 53875, 55662, 55250, 54421, 50843, 50812, 50799, 53339, 51103, 55662, 50828, 53286, 64391, 50812, 50416, 55662, 55221, 55662, 61923, 55662, 52981, 55662, 57466, 55662, 54069, 55662, 53756, 62046, 55662, 52905, 55662, 54119, 50812, 50428, 55662, 54694, 55662, 54119, 64123, 55662, 52844, 55662, 76494, 59890, 55662, 54002, 55662, 58414, 55662, 53219, 53916, 51103, 55662, 50828, 53859, 51103, 50843, 75804, 55662, 54735, 55662, 54119, 70981, 55662, 52878, 55662, 54119, 61094, 55662, 54255, 55662, 75223, 61216, 55662, 53035, 55662, 75223, 69008, 55662, 54363, 55662, 58014, 55662, 52738, 55662, 54119, 62371, 55662, 54370, 55662, 54119, 60091, 55662, 50828, 50799, 52196, 51189, 55662, 50836, 52197, 62343, 54080, 54138, 53351, 52710, 50843, 50812, 53764, 52749, 53064, 51591, 52351, 50836, 53331, 51591, 51456, 53574, 55662, 55250, 50812, 54268, 52597, 50843, 54672, 54138, 50380, 54936, 52555, 51553, 53875, 52351, 55250, 54421, 50843, 50812, 50799, 51996, 51413, 55662, 50828, 52804, 73717, 50812, 50416, 55662, 55221, 55662, 61923, 55662, 52981, 55662, 57466, 55662, 54069, 55662, 53756, 62046, 55662, 52905, 55662, 54119, 50812, 50428, 55662, 54694, 55662, 54119, 64123, 55662, 52844, 55662, 76494, 59890, 55662, 54002, 55662, 58414, 55662, 53219, 51836, 51413, 55662, 50828, 52253, 51413, 50843, 75804, 55662, 54735, 55662, 54119, 70981, 55662, 52878, 55662, 54119, 61094, 55662, 54255, 55662, 75223, 61216, 55662, 53035, 55662, 75223, 69008, 55662, 54363, 55662, 58014, 55662, 52738, 55662, 54119, 62371, 55662, 54370, 55662, 54119, 60091, 55662, 50828, 50799, 52196, 51189, 55662, 50828, 52197, 62343, 50812, 50416, 55662, 55221, 55662, 61923, 55662, 52981, 55662, 57466, 55662, 54069 ]
[ 0, 713, 20425, 8, 15352, 30054, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 1575, 10, 11577, 11739, 9, 38668, 483, 6, 20535, 2810, 6, 21979, 8669, 6, 17605, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 14899, 12447, 1001, 20889, 9, 23272, 163, 5683, 4, 20, 15229, 3905, 10, 33215, 16739, 9, 274, 6, 274, 401, 6, 230, 406, 6, 272, 119, 6, 8, 230, 6, 8216, 7, 63, 33558, 8, 32076, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50799, 55239, 57974, 55723, 51468, 50799, 62446, 55239, 51468, 51361, 52742, 55723, 51468, 50799, 61934, 51293, 50799, 51715, 52388, 63223, 69418, 52928, 61934, 55084, 51715, 52388, 53063, 51230, 52388, 52600, 61934, 51998, 51230, 52388, 60930, 79805, 52725, 61934, 51998, 51230, 52388, 52579, 51230, 52388, 50820, 66325, 51732, 51201, 51732, 51690, 51732, 51230, 52388, 51877, 63603, 50832, 61732, 50832, 61044, 79466, 61266, 50832, 50835, 52111, 58646, 50832, 50835, 51544, 79466, 65760, 50832, 50835, 56096, 80029, 79466, 51872, 59347, 50832, 57540, 50832, 50835, 51570, 79466, 57927, 50832, 50835, 52260, 60862, 50832, 66847, 79466, 57854, 50832, 50835, 57730, 52802, 51441, 52388, 52270, 64314, 50832, 58677, 50832, 53017, 51441, 52388, 58965, 69536, 52215, 56172, 69536, 50799, 51441, 52388, 70325, 69536, 56130, 60740, 79349, 52270, 56856, 50832, 56982, 50832, 52762, 51441, 52388, 56670, 50832, 50834, 51999, 59651, 50832, 50834, 51361, 79349, 58608, 50832, 50834, 57336, 53040, 51340, 52388, 52139, 64562, 50832, 59808, 50832, 68202, 76494, 57757, 50832, 50834, 52283, 58078, 50832, 53057, 51340, 52388, 61425, 50832, 50834, 56584, 52579, 51340, 52388, 52139, 56399, 50832, 55971, 50832, 50820, 55669, 51187, 76494, 55614, 50832, 50820, 51921, 59346, 50832, 52761, 55896, 75455, 60170, 50832, 50820, 56957, 50820, 72886, 75455, 52100, 59551, 50832, 56657, 50832, 52417, 55896, 75455, 58406, 50832, 50839, 52224, 57320, 50832, 52950, 55896, 75455, 63337, 50832, 50839, 56568, 53044, 55896, 75455, 52100, 57854, 50832, 58560, 50832, 50839, 51382, 51239, 75455, 57150, 50832, 74784, 61250, 50832, 53268, 54161, 63209, 56637, 50832, 61994, 50832, 50841, 50799, 54161, 63209, 51700, 70325, 50832, 63094, 50832, 53223, 54161, 63209, 58158, 50832, 50841, 52111, 59761, 50832, 50841, 65591, 63209, 60568, 50832, 50841, 56096, 52667, 54161, 63209, 51700, 58608, 50832, 58694, 50832, 53116, 54001, 75224, 59901, 50832, 50828, 52260, 58829, 50832, 52878, 54001, 75224, 61312, 50832, 50828, 57730, 50828, 51382, 51179, 75224, 52240, 61425, 50832, 58014, 50832, 52738, 54001, 75224, 61160, 50832, 50828, 52215, 57498, 50832, 50828, 50799, 54001, 75224, 72083, 50832, 50828, 56130, 53576, 54001, 75224, 52240, 60170, 50832, 62239, 50832, 50846, 51302, 51135, 68336, 61749, 50832, 50846, 51999, 59476, 50832, 52927, 61394, 68336, 60063, 50832, 50846, 57336, 53442, 61394, 68336, 51989, 63337, 50832, 61110, 50832, 53239, 61394, 68336, 61722, 50832, 50818, 52283, 57868, 50832, 75324, 51135, 68336, 68317, 50832, 50818, 56584, 52349, 54074, 69574, 51903, 56637, 50832, 56904, 50832, 50818, 50799, 54074, 69574, 56868, 50832, 50818, 51921, 58100, 50832, 52432, 57397, 54553, 51041, 69574, 59013, 50832, 50818, 56957, 50884, 80164, 69574, 51903, 70690, 50832, 62357, 50832, 53230, 57397, 54965, 51041, 69574, 65109, 50832, 50884, 52224, 59653, 50832, 53418, 54074, 69574, 67268, 50832, 50884, 56568, 53806, 57397, 53832, 51139, 50386, 52388, 52546, 61312, 50832, 60374, 50832, 50884, 51382, 51139, 50386, 52388, 60376, 50832, 50895, 52145, 60305, 50832, 53650, 57397, 53119, 51139, 50386, 52388, 65083, 50832, 64601, 50832, 50895, 55669, 51139, 50386, 52388, 52546, 70426, 50832, 64174, 50832, 54031, 57397, 54172, 51139, 50386, 52388, 50961, 67001, 50895, 52111, 61953, 50832, 50895, 51302, 51130, 69186, 68388, 50832, 50895, 56096, 52975, 56242, 52764, 51130, 69186, 52683, 59382, 50832, 60281, 50832, 53294, 55737, 64916, 50832, 50883, 53012, 54586, 56242, 54047, 51130, 50949, 51382, 51130, 50949, 53061, 54210, 56242, 53474, 51130, 50949, 50799, 57397, 53834, 51437, 57900, 51989, 53829, 52103, 50854, 51713, 51739, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52103, 50854, 51713, 54627, 50898, 51877, 53230, 55853, 59178, 51257, 50844, 52970, 50833, 52099, 51052, 53908, 51963, 50854, 51776, 54362, 52103, 50854, 51713, 53056, 51437, 51877, 53806, 54747, 50849, 52664, 51218, 51683, 51029, 54967, 52725, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 53887, 50898, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52777, 51877, 53230, 56072, 74329, 50892, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52777, 51877, 53685, 55617, 51424, 50290, 50892, 51762, 50799, 57397, 53834, 51437, 51877, 53829, 52103, 50833, 51713, 51508, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52103, 50822, 51713, 54627, 50898, 51877, 53230, 55853, 59178, 51257, 50844, 52970, 50808, 52099, 51508, 53908, 51963, 50810, 51776, 51724, 52103, 50810, 51713, 51730, 51437, 51877, 53806, 54747, 50849, 51683, 53363, 52306, 52442, 60899, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 53887, 50898, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52777, 51877, 53230, 56072, 74329, 50892, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52777, 51877, 53685, 57397, 74049, 50892, 52777, 50820, 70200, 50799, 57397, 50849, 52408, 53769, 51437, 51877, 59912, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52412, 50805, 52777, 51877, 53230, 55853, 59178, 51257, 50844, 52276, 51141, 51762, 51450, 51437, 51877, 53806, 54747, 50849, 60899, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52987, 50805, 52777, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 52276, 51141, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52987, 50805, 52777, 51877, 53230, 56072, 74329, 50892, 52408, 50805, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52412, 50805, 52777, 51877, 53685, 57397, 74049, 50892, 53112, 50805, 51762, 50799, 57397, 50849, 52412, 51654, 51437, 51877, 53829, 52276, 51582, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52276, 50805, 52777, 51877, 53230, 55853, 59178, 51257, 50844, 52987, 50805, 61767, 52276, 51747, 51437, 51877, 53806, 54747, 50849, 52276, 50805, 60899, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 53887, 50898, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 52408, 50805, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52777, 51877, 53230, 56072, 74329, 50892, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52777, 51877, 53685, 57397, 74049, 56362, 50820, 50799, 57397, 50849, 52408, 53769, 51437, 51877, 59912, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52412, 52764, 50898, 51877, 53230, 55853, 59178, 51257, 50844, 52412, 51204, 51762, 51450, 51437, 51877, 53806, 54747, 50849, 60899, 56072, 50849, 52495, 50805 ]
[ 0, 713, 5175, 2214, 6, 30291, 19, 4785, 9, 14123, 3495, 6, 16, 10, 13363, 28191, 11739, 9, 34879, 8, 33569, 4, 20, 3459, 8669, 6, 6755, 12547, 6, 13305, 6, 31391, 1672, 9590, 6, 8, 38668, 2236, 45552, 833, 7, 1045, 10, 2216, 2369, 18795, 14, 19615, 1626, 227, 11098, 8, 15073, 4, 590, 10, 182, 1769, 20889, 9, 27983, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 20902, 1007, 1328, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 83, 401, 6, 163, 119, 406, 6, 83, 73, 717, 6, 381, 6, 8, 211, 73, 717, 6, 1271, 5581, 8, 13879, 7, 63, 1374, 3184, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50796, 53550, 57854, 51224, 52802, 51289, 50835, 50799, 51223, 51056, 51513, 51267, 51181, 52266, 50801, 62128, 52641, 51729, 50905, 51350, 52839, 67109, 51729, 50878, 51350, 59577, 50877, 51091, 51040, 64291, 51362, 55340, 51218, 55314, 51446, 50804, 51464, 60966, 51195, 50845, 51659, 50845, 52320, 51306, 50458, 51729, 50942, 51350, 50942, 51349, 53275, 50311, 53363, 51086, 54143, 50899, 52919, 54008, 51353, 53679, 75582, 50870, 50799, 52622, 50422, 51265, 50924, 51349, 54919, 51545, 51111, 51910, 51158, 52622, 50434, 51350, 58866, 51195, 50937, 51265, 50849, 51349, 51575, 57282, 52802, 51350, 50865, 51545, 51121, 51910, 51177, 50852, 55259, 50908, 50799, 51223, 51073, 51513, 51073, 51181, 51585, 55340, 51714, 55314, 51894, 52352, 50985, 52966, 51729, 51177, 51350, 51177, 52622, 50434, 51729, 50959, 51350, 58450, 51040, 51295, 76233, 50916, 51417, 50804, 51464, 59265, 51195, 50854, 51659, 54276, 50801, 59075, 67076, 51729, 50925, 51350, 50925, 51086, 53753, 50861, 51307, 50899, 54249, 53679, 51359, 59255, 75195, 54026, 51349, 50893, 50799, 51983, 50422, 51265, 50924, 51195, 71818, 51349, 58292, 51545, 50833, 51545, 50911, 51910, 51178, 69620, 51265, 50917, 51265, 50967, 51349, 51626, 51467, 53166, 51545, 50917, 51910, 51121, 50852, 50891, 57268, 50863, 50799, 51223, 51159, 51513, 51016, 51181, 51941, 55340, 51353, 55314, 51945, 67955, 58409, 52155, 50859, 52671, 52422, 51729, 50892, 51350, 50838, 52008, 50434, 51729, 50942, 51350, 50878, 52202, 50924, 51596, 59826, 50877, 51294, 51040, 51295, 50916, 51191, 52352, 50934, 50820, 52155, 51159, 52671, 75626, 51659, 50942, 51195, 55125, 51990, 69608, 53796, 50908, 51596, 51178, 52202, 51255, 50458, 51350, 50854, 51368, 50925, 51729, 50942, 51349, 53275, 50303, 53753, 50861, 51307, 50899, 55844, 53679, 51151, 54008, 52151, 50801, 50870, 52155, 50910, 52671, 50865, 50799, 52008, 50422, 51265, 51173, 51349, 50948, 52202, 51294, 52182, 65183, 51545, 50977, 51910, 67300, 60600, 79302, 51350, 54181, 51195, 50977, 51265, 50893, 51349, 53543, 51467, 50908, 54027, 50914, 54809, 56508, 51545, 50866, 51350, 50865, 51910, 54754, 50361, 50958, 50908, 54120, 51194, 52182, 51100, 50458, 54027, 54153, 52155, 54834, 50799, 51223, 51073, 51513, 51073, 51181, 51941, 55340, 51047, 55314, 59578, 56402, 52966, 51350, 50901, 51729, 51177, 52008, 50434, 51729, 50959, 51350, 55467, 51040, 51218, 50916, 51413, 50877, 51189, 55340, 79802, 54958, 50934, 57854, 51195, 50854, 51659, 53097, 55038, 52008, 50458, 51729, 50925, 51350, 50897, 51349, 52370, 50303, 52222, 50899, 52151, 50861, 52069, 53679, 51036, 59255, 75582, 50863, 50799, 52008, 50422, 51265, 50833, 51195, 50873, 51349, 50845, 56101, 59386, 51545, 50912, 51545, 50866, 51910, 50917, 52008, 57794, 51006, 50434, 60850, 58946, 51265, 50917, 51195, 51060, 51684, 50873, 52352, 50934, 53790, 50837, 56101, 51051, 50446, 51195, 50866, 56101, 55514, 51545, 50987, 51545, 50977, 51910, 51100, 53076, 51235, 50852, 50908, 57794, 52063, 50458, 52004, 51470, 50799, 51265, 51177, 51181, 51538, 52700, 50991, 55340, 51353, 55314, 51945, 51206, 53735, 58640, 51265, 53881, 51265, 51177, 52700, 52938, 51258, 50434, 51265, 50937, 52700, 50889, 50437, 50877, 51291, 51040, 51562, 50916, 51472, 53550, 51437, 64807, 51545, 50917, 53076, 55178, 57936, 51258, 50457, 51086, 53233, 50899, 55844, 50458, 51265, 50925, 51349, 53275, 50311, 53753, 51924, 51013, 53679, 51151, 54008, 52151, 50801, 50837, 50799, 52008, 50422, 51265, 50938, 79646, 51390, 58632, 51545, 50873, 51910, 51178, 51924, 51159, 52008, 50434, 51265, 60175, 52896, 51425, 50846, 51990, 50897, 51265, 50924, 51349, 51575, 55536, 53068, 51368, 50924, 51368, 50873, 51910, 50938, 53076, 51110, 53360, 50958, 67076, 52004, 50977, 50799, 51265, 51100, 51181, 51591, 52700, 51345, 55340, 51047, 55314, 59578, 52348, 58115, 51265, 53881, 51265, 51242, 52700, 50854, 51983, 50434, 51265, 50942, 52700, 52424, 51040, 51562, 50877, 51291, 50916, 51472, 55340, 79802, 76824, 59673, 51545, 50942, 53076, 57197, 58018, 72204, 51265, 50822, 51349, 70717, 51449, 51086, 51445, 50861, 51151, 51924, 51413, 53679, 51036, 59255, 51307, 50799, 51960, 50422, 51265, 50938, 51195, 51060, 51349, 60777, 52966, 51545, 50878, 51545, 51121, 51910, 51194, 58663, 51990, 50938, 51265, 50849, 51349, 61467, 54839, 51467, 52846, 51368, 50865, 51368, 51328, 51910, 50901, 53076, 51235, 50852, 63343, 52004, 51824, 50799, 51265, 50849, 51181, 51161, 52700, 51345, 55340, 51353, 55314, 51945, 50801, 52771, 58409, 51265, 57630, 51265, 50905, 52700, 55690, 51693, 50434, 51265, 50977, 52700, 55965, 51040, 51397, 76233, 50916, 51446, 50804, 51437, 59265, 51545, 50938, 53076, 68031, 51990, 51121, 61670, 68716, 50899, 51313, 51086, 51714, 50458, 51265, 50937, 51349, 53275, 50311, 51151, 51924, 50889, 53679, 51151, 54008, 52151, 50801, 50863, 50799, 52008, 50422, 51265, 50938, 51349, 50952, 51390, 59621, 52917, 51545, 51177, 51910, 51194, 51924, 51112, 52008, 50434, 51265, 58450, 51990, 50917, 51265, 50805, 51349, 50948, 52352, 50985, 54835, 53068, 51368, 50938, 51368, 50873, 51910, 50937, 53076, 70808, 63343, 52004, 50987, 50799, 51265, 51060, 51181, 52311, 52700, 51112, 55340, 51047, 55314, 51605, 67955, 61183, 51265, 53450, 51265, 51121, 52700, 55690, 65627, 51265, 50942, 52700, 52424, 50877, 51241, 51040, 65480, 51362, 55340, 79802, 50804, 51437, 59265, 51545, 50808, 51265, 50937, 51181, 51030, 53076, 51255, 50450, 51545, 50938, 51957, 77387, 52465, 73068, 51350, 51307, 51355, 51307, 51780, 51264, 51857, 51685, 50916, 51264, 51924, 51204, 51089, 66595, 51023, 62321, 51208, 53233, 55314, 51307, 59255, 59578, 54026, 51086, 51353, 50989, 51353, 50799, 59676, 52700, 51116, 58539, 50434, 53076, 50943, 53550, 51467, 50908, 56041, 53166, 51857, 51212, 51390, 51194, 50852, 62476, 51957, 77568, 51181, 50910, 51924, 51894, 50801, 50908, 54281, 51991, 50916, 51151, 50877, 52069, 50899, 51894, 51086, 52222, 55314, 51353, 56336, 51359, 57936, 52872, 59247, 51496, 52008, 50427, 51023, 52337, 51570, 54835, 53044, 61454, 50983, 50446, 51020, 52096, 60487, 53796, 63343, 51374, 50855, 53679, 51151, 54008, 51313, 50801, 59789, 64351, 51364, 54281, 52097, 52622, 74354, 51422, 50899, 51161, 50916, 51486, 51086, 51677, 51083, 51801, 51544, 66284, 72787, 51218, 50434, 51640, 69561, 50863, 51570, 54835, 58560, 63689, 75355, 51137, 61986, 58820, 56772, 68226, 52024, 54468, 51036, 50899, 52149, 50877, 52121, 51086, 52121, 50916, 52250, 53679, 51801, 57756, 51801, 67955, 50863, 51544, 51129, 53550, 51467, 50891, 52320, 67076, 51390, 50921, 56682, 51307, 52004, 51460, 50801, 52465, 52976, 53076, 51175, 58663, 51390, 63011, 51406, 60402, 51590, 51500, 50450, 50852, 61034, 51229, 51655, 50799, 51223, 51159, 51513, 51159, 51181, 51161, 55340, 51353, 55314, 51945, 50801, 52348, 52872, 51729, 50892, 51350, 53021, 51306, 50434, 51729, 50942, 51350, 50942, 50437, 52414, 51535, 51656, 51562, 50438, 51040, 51397, 76233, 50916, 51446, 50804, 51467, 59265, 51195, 50901, 51659, 55125, 50801, 52465, 54616, 75281, 52187, 51293, 50457, 50899, 51313, 51086, 51714, 50458, 51729, 50942, 51350, 50942, 51349, 53275, 50311, 51151, 53679, 51151, 54008, 52151, 50801, 50908, 50799, 51983, 50422, 51265, 50924, 51349 ]
[ 0, 250, 1144, 26016, 3495, 1619, 1011, 625, 14, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 4246, 10, 24897, 11739, 9, 13305, 6, 21979, 8669, 6, 23338, 33518, 1264, 6, 21979, 9590, 6, 8, 33704, 5675, 22052, 6, 70, 278, 11, 10, 20902, 155, 73, 306, 86, 6543, 19, 10, 12701, 4450, 20889, 11, 5, 762, 9, 12608, 3694, 6, 25, 5, 33215, 16739, 9, 274, 10431, 406, 6, 230, 10431, 119, 406, 6, 274, 10431, 406, 6, 163, 119, 1176, 406, 6, 8, 163, 401, 18399, 17928, 5, 30443, 149, 42, 18452, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50634, 50903, 51003, 51768, 54498, 50903, 50932, 51034, 50903, 51003, 51768, 54498, 50903, 50932, 51034, 51560, 51803, 57713, 76299, 50810, 51197, 51939, 51751, 51277, 52280, 51258, 52280, 51518, 52527, 51518, 50415, 52046, 51745, 51197, 51745, 50871, 51745, 57302, 51745, 50422, 53978, 51037, 51051, 51768, 63739, 61382, 50997, 51145, 50861, 51314, 50906, 52212, 50847, 51310, 51992, 50901, 50427, 50997, 53751, 50307, 79237, 51237, 56825, 51735, 50434, 53978, 51751, 52441, 53016, 53813, 57580, 62436, 51277, 53016, 50924, 79807, 53751, 50307, 53751, 50302, 51745, 56825, 51237, 50446, 51261, 50955, 53673, 50979, 50933, 53085, 50859, 51034, 51560, 51803, 51976, 50810, 51197, 52168, 51751, 51277, 51760, 51709, 51850, 51480, 51992, 51709, 50415, 51234, 51745, 50861, 51870, 56825, 51870, 50422, 52066, 50997, 51244, 51037, 51470, 53016, 51058, 53727, 50978, 56176, 50978, 51768, 63739, 59280, 50956, 54532, 50906, 51447, 50902, 51314, 50951, 51703, 50427, 50997, 53751, 50306, 51237, 79841, 50434, 52066, 51751, 53674, 51760, 51174, 51850, 56180, 50903, 58849, 51373, 62436, 51108, 79807, 53751, 50302, 51745, 50899, 51745, 53016, 50873, 53727, 50901, 56176, 50892, 56825, 51735, 50446, 51261, 50955, 52066, 50997, 50955, 65491, 51034, 51560, 51803, 51976, 50822, 51197, 52015, 51751, 51277, 53016, 51662, 50415, 51197, 51745, 52046, 51745, 50861, 51870, 51992, 52140, 53085, 51939, 52527, 51939, 56825, 51870, 56363, 51148, 50422, 52066, 51037, 51051, 51768, 78627, 61382, 50900, 51535, 50979, 51310, 77095, 53751, 50307, 51237, 64551, 51381, 50434, 52066, 51751, 52441, 59015, 51373, 69937, 51233, 51037, 51277, 79807, 53751, 50304, 53751, 50307, 51237, 56825, 51735, 50446, 51261, 50955, 52066, 63062, 50447, 51197, 52140, 51034, 51560, 51803, 51976, 50810, 51751, 51277, 52280, 51677, 52527, 51939, 53016, 50925, 50415, 51234, 51745, 50861, 51745, 56825, 51745, 50421, 51037, 71437, 52066, 50997, 51244, 53016, 51417, 51768, 63739, 59280, 50861, 54532, 50906, 51447, 51001, 51314, 51081, 51703, 50979, 51310, 50427, 50956, 53751, 50312, 51745, 57734, 51237, 50434, 52066, 51751, 52441, 59015, 58849, 51373, 62436, 52518, 50439, 50956, 51735, 50861, 51735, 50906, 51735, 56482, 51735, 50445, 78242, 50446, 51261, 50955, 52066, 50997, 50955, 51992, 50812, 51034, 52157, 51803, 51976, 50822, 50931, 52845, 50290, 52519, 52021, 51277, 52527, 51709, 51850, 51480, 52943, 51709, 56482, 51870, 50415, 51247, 51745, 51050, 51745, 50906, 51870, 50422, 52066, 51037, 51470, 53085, 51058, 56447, 50978, 56176, 50978, 51768, 78627, 61382, 50871, 52034, 50997, 56615, 50956, 52378, 50965, 52378, 50427, 50956, 53751, 50312, 51237, 50979, 51253, 50434, 52066, 52021, 53674, 52527, 51174, 51850, 56180, 50903, 51373, 58963, 53131, 50312, 55505, 50316, 52858, 50307, 52378, 51037, 51108, 55045, 51237, 50439, 50956, 51745, 50965, 51745, 50876, 51745, 53085, 50873, 56447, 50901, 56176, 75406, 51140, 50955, 52066, 50979, 50959, 78459, 51803, 51976, 67316, 53164, 50290, 51965, 51037, 51423, 51760, 51709, 51850, 51480, 52943, 51709, 57302, 59939, 50415, 51234, 51745, 50871, 53174, 50422, 52066, 50872, 51210, 71262, 53016, 51058, 53727, 50978, 56176, 50978, 51768, 63739, 59280, 50997, 55197, 50899, 52048, 50965, 52378, 70574, 68100, 50992, 50995, 51007, 50995, 51257, 51242, 50427, 51176, 53751, 50306, 51237, 50434, 52066, 51257, 51376, 51760, 51174, 51850, 56180, 50903, 58849, 51373, 61895, 52063, 50871, 51884, 50965, 53726, 50906, 53726, 73360, 50439, 51176, 51745, 50899, 51745, 50992, 51380, 51007, 51380, 51257, 51277, 53016, 50873, 53727, 50901, 56176, 75406, 51140, 50955, 52066, 51257, 51142, 73831, 51803, 51976, 50822, 51147, 51199, 51247, 52618, 51164, 51277, 50415, 51247, 51745, 51050, 51745, 50900, 53174, 50871, 53898, 50422, 52066, 69047, 52527, 50827, 53085, 50867, 52943, 50867, 56176, 50854, 51768, 78627, 61382, 50871, 54011, 50307, 50912, 51176, 51142, 50900, 63406, 51310, 50427, 50956, 53751, 50312, 51237, 59409, 51470, 50434, 52066, 51164, 52441, 59015, 51373, 64774, 52666, 50307, 61582, 54191, 50312, 54191, 50319, 51051, 75098, 50439, 50965, 51745, 50956, 51745, 52527, 51709, 53085, 51806, 56176, 51709, 50440, 52943, 51576, 50444, 51147, 67267, 51150, 50955, 52066, 50979, 50933, 51034, 52157, 51803, 51976, 50810, 51234, 51939, 51037, 51277, 51760, 51677, 51850, 51939, 53727, 50925, 50415, 51234, 51745, 50899, 53174, 50418, 53016, 53728, 50997, 51803, 50421, 68064, 50422, 52066, 53727, 51417, 51768, 63739, 59280, 50899, 51148, 50939, 51310, 79351, 53751, 50309, 51870, 58783, 51283, 50434, 52066, 51037, 52441, 59015, 58849, 62445, 50965, 50981, 50872, 52518, 69332, 53751, 50312, 51237, 50442, 53016, 63959, 50906, 50972, 50445, 68683, 50446, 51140, 50955, 52066, 52943, 50812, 51034, 52157, 51790, 51976, 50822, 51001, 53164, 50290, 51965, 52021, 51277, 52527, 51709, 51850, 51480, 52943, 51709, 57734, 51745, 50415, 50965, 53751, 50285, 51745, 51050, 51745, 50422, 52066, 51037, 51470, 53085, 51058, 56447, 50978, 56176, 50978, 51768, 78627, 61382, 50997, 55197, 50956, 52048, 50965, 52378, 70574, 56482, 51237, 50427, 50956, 51735, 50965, 51735, 50906, 51237, 50979, 51253, 50434, 52066, 52021, 53674, 52527, 51174, 51850, 56180, 50903, 51373, 66966, 52063, 50871, 51884, 50965, 53726, 50876, 53726, 51037, 51108, 56482, 51237, 50439, 50906, 53751, 50307, 53751, 50312, 51237, 53085, 50873, 56447, 50901, 56176, 75406, 51140, 50878, 52066, 50979, 50959, 51034, 52157, 51790, 51976, 50810, 51147, 52845, 50290, 52519, 51037, 51233, 51760, 51709, 51850, 51480, 52943, 51709, 56482, 51870, 50415, 51234, 51745, 50906, 51870, 50422, 52066, 51164, 51961, 51037, 51008, 53016, 51058, 53727, 50978, 56176, 50978, 51768, 63739, 59280, 50997, 56615, 50965, 52378, 50899, 52056, 50871, 52056, 78889, 68100, 50939, 50995, 51007, 50995, 50427, 50899, 53751, 50312, 51237, 50434, 52066, 51760, 51174, 51850, 56180, 50903, 58849, 62445, 50997, 79452, 52059, 50871, 51797, 50965, 53161, 51164, 50981, 78889, 50872, 51337, 73367, 51007, 51481, 56482, 51237, 50439, 50965, 53751, 50314, 53751, 50306, 51237, 53016, 50873, 53727, 50901, 56176, 75406, 51140, 50878, 52066, 50902, 51210, 50872, 51365, 66249, 51007, 50933, 78459, 51803, 51976, 50822, 51147, 51199, 51234, 52618, 52021, 51277, 56482, 51870, 50415, 51247, 51745, 51050, 51745, 50906, 51870, 50422, 52066, 51037, 51470, 52527, 50827, 53085, 50867, 52943, 50867, 56176, 50854, 51768, 78627, 61382, 50871, 54011, 50307, 50912, 51176, 51142, 50997, 51079, 50427, 50956, 53751, 50312, 51237, 50979, 51253, 59409, 51470, 50434, 52066, 52021, 53674, 59015, 73843, 50997, 52666, 50307, 61582, 54191, 50312, 54191, 50319, 51051, 51037, 51108, 56482, 51237, 50439, 50906, 53751, 50307, 53751, 50312, 51237, 52527, 51709, 53085, 51806, 56176, 51709, 50440, 52943, 51576, 50444, 51147, 67267, 51140, 50955, 52066, 50979, 50959, 78459, 51267, 51976, 50810, 50931, 51199, 51234, 52618, 51037, 51277, 51760, 51218, 51850, 51477, 56482, 51745, 50415, 51234, 51745, 50906, 51745, 50421, 50872, 51470, 50422, 52066, 50423, 53727, 76186, 52157, 51253, 50903, 63739, 59280, 50871, 54011, 50306, 50907, 51176, 51365, 50997, 54558, 50314, 51253, 55045, 51745, 50427, 50899, 53751, 50312, 53751, 50316 ]
[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 814, 6, 4246, 17465, 8244, 22778, 6, 1515, 21305, 6, 17035, 873, 2401, 6, 6755, 12547, 6, 8, 20535, 2810, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 7212, 20889, 6, 42, 765, 2214, 3905, 10, 33215, 16739, 9, 12608, 6, 2060, 119, 1176, 406, 6, 12608, 6, 8, 274, 119, 6, 2351, 10, 25306, 5466, 19, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50799, 51426, 50930, 54295, 50887, 52970, 50887, 56815, 78275, 50878, 50418, 51488, 50930, 52489, 50887, 52425, 69388, 51488, 50930, 52489, 50887, 52425, 67415, 51426, 50930, 54295, 50887, 52970, 50887, 56815, 55060, 66942, 51395, 50930, 51906, 50887, 52099, 50887, 56815, 55060, 56799, 51395, 50930, 51906, 50887, 52099, 50887, 56815, 55060, 50878, 50436, 51395, 56082, 51906, 54300, 52099, 54300, 56815, 56082, 50804, 66092, 51673, 58063, 77836, 52604, 50887, 53061, 60425, 52604, 53988, 61242, 50804, 57185, 52604, 58063, 50878, 71467, 50952, 50418, 52251, 73489, 51827, 51933, 50804, 50878, 57363, 50878, 54321, 50878, 50433, 50804, 50878, 54141, 50925, 57048, 50855, 57688, 50855, 53061, 63152, 51426, 50930, 54295, 50887, 52970, 50887, 58240, 78275, 64175, 51488, 50930, 52489, 50887, 52425, 50887, 50799, 51488, 50930, 52489, 50887, 52425, 69736, 51426, 50930, 54295, 50887, 52970, 50887, 58240, 55060, 62270, 51395, 50930, 51906, 50887, 52099, 50887, 58240, 55060, 55640, 51395, 50930, 51906, 50887, 52099, 50887, 58240, 55060, 77554, 51395, 52017, 51906, 54300, 52099, 54300, 58240, 56082, 50804, 50897, 50440, 51673, 58063, 58937, 52604, 50887, 53526, 64072, 52604, 53988, 50836, 51382, 63793, 52604, 58063, 50897, 50455, 51673, 71428, 52251, 50952, 51601, 51827, 58668, 50897, 57493, 50897, 53951, 55640, 51182, 52195, 52480, 53988, 50897, 50428, 52171, 59974, 52480, 66428, 52171, 67980, 52480, 59046, 52171, 65268, 52480, 53988, 75901, 52171, 59846, 52480, 66607, 52171, 53988, 54465, 52480, 53988, 60520, 52171, 53988, 64072, 51629, 51566, 52970, 50887, 52489, 50887, 52338, 51073, 50694, 50276, 54780, 50897, 50452, 52489, 50887, 52099, 70332, 52489, 50887, 52099, 57661, 51629, 50911, 52970, 50887, 52489, 50887, 52695, 51472, 60244, 54780, 50897, 51601, 52489, 50887, 52099, 53988, 73362, 51394, 50911, 50419, 52489, 50887, 52099, 53988, 62270, 51182, 51566, 52489, 51073, 52099, 51073, 67312, 54780, 77119, 51395, 51566, 51683, 50887, 52099, 50887, 52338, 51073, 66168, 54780, 50897, 50437, 51906, 50887, 52425, 71647, 50804, 56442, 52489, 50887, 51683, 53988, 50836, 62177, 62426, 51201, 51566, 51906, 50887, 52425, 50887, 54541, 51073, 58240, 54780, 50897, 50448, 52489, 50887, 51683, 50887, 50452, 52970, 50887, 52489, 55433, 51905, 51566, 51906, 51073, 52103, 51933, 52541, 51472, 67312, 54780, 50897, 52198, 50897, 51601, 50804, 50897, 50419, 51304, 51566, 52425, 51073, 60244, 54780, 69270, 51394, 51566, 51683, 51073, 51946, 51073, 58240, 54780, 50897, 55935, 59693, 50804, 66425, 50804, 56442, 51811, 51566, 52489, 50887, 52099, 50887, 51836, 51472, 50694, 50276, 54780, 50897, 50445, 52099, 50887, 52747, 66429, 52099, 50887, 52747, 50887, 50452, 51811, 50911, 52099, 51472, 52747, 51472, 60244, 54780, 50897, 56871, 61076, 51690, 50911, 55985, 50897, 51601, 51811, 51566, 52541, 51073, 67312, 54780, 55640, 51304, 51566, 52099, 50887, 52747, 50887, 51836, 51073, 66168, 78275, 69270, 52489, 50887, 52099, 54937, 50804, 59890, 52099, 50887, 52747, 53988, 50836, 55935, 53574, 51905, 51033, 51713, 51655, 52366, 51655, 53916, 51073, 58240, 54780, 50897, 50441, 51304, 51033, 50445, 51629, 51033, 50449, 51394, 51566, 51836, 51073, 67312, 54780, 50897, 57857, 50897, 56871, 50897, 50460, 51690, 52195, 53151, 51073, 60244, 54780, 50897, 57731, 53343, 51073, 66167, 78275, 50897, 54321, 50836, 57096, 53695, 50804, 59890, 51811, 52266, 52970, 50887, 52489, 50887, 52338, 51073, 50694, 50276, 54780, 56057, 52489, 50887, 52099, 66607, 52489, 50887, 52099, 67356, 52970, 50887, 52489, 50887, 52695, 51472, 60244, 54780, 50897, 50449, 52489, 50887, 52099, 53988, 74505, 52489, 50887, 52099, 53988, 57313, 52489, 51073, 52099, 51073, 67312, 54780, 50897, 52591, 51304, 51566, 51683, 50887, 52099, 50887, 52338, 51073, 66168, 54780, 67761, 51906, 50887, 52425, 50887, 57363, 59953, 52489, 50887, 51683, 53988, 50836, 54321, 60519, 51905, 51566, 51906, 50887, 52425, 50887, 54541, 51073, 58240, 54780, 62408, 52489, 50887, 51683, 55395, 52970, 50887, 52489, 66607, 51304, 51566, 51906, 51073, 52103, 51933, 52541, 51472, 67312, 54780, 50897, 53526, 50897, 57048, 74505, 51394, 51566, 52425, 51073, 60244, 54780, 50897, 51809, 51905, 51033, 51683, 51073, 51946, 51073, 58240, 54780, 60724, 51304, 51033, 53951, 60892, 51394, 62567, 50836, 57363, 59953, 51304, 51566, 52489, 50887, 52099, 50887, 51836, 51472, 50694, 50276, 54780, 50897, 50431, 52099, 50887, 52747, 59046, 52099, 50887, 52747, 55395, 51629, 51566, 52099, 51472, 52747, 51472, 60244, 54780, 50897, 55258, 50897, 53526, 55620, 51395, 52195, 52541, 51073, 67312, 54780, 74369, 52099, 50887, 52747, 50887, 51836, 51073, 66168, 78275, 50897, 51809, 52489, 50887, 52099, 50887, 57493, 54402, 52099, 50887, 52747, 53988, 50836, 53951, 60892, 51905, 51033, 51713, 51655, 52366, 51655, 53916, 51073, 58240, 54780, 75027, 51304, 51033, 50431, 51629, 73073, 51394, 51566, 51836, 51073, 67312, 54780, 75901, 50804, 50897, 55258, 62150, 51690, 51566, 53151, 51073, 60244, 54780, 77044, 51811, 51566, 53343, 51073, 50694, 50275, 55060, 64175, 50694, 50277, 71366, 66167, 50930, 51601, 60244, 55060, 58160, 58942, 55060, 62799, 58240, 55060, 54402, 51690, 52195, 51713, 51472, 52306, 51472, 52196, 51073, 55840, 57676, 50804, 50897, 50431, 52196, 58063, 68066, 51946, 58063, 75901, 51996, 58063, 50897, 50443, 51304, 52017, 51683, 51472, 52002, 51472, 52338, 58668, 69821, 51996, 58668, 50897, 52198, 50836, 56483, 50836, 51601, 50804, 58160, 52366, 50952, 51648, 51073, 51946, 58668, 50897, 50421, 52002, 50952, 50424, 51713, 50952, 50428, 51906, 51933, 51776, 51933, 52695, 51472, 50804, 57066, 50804, 50897, 52594, 75901, 51384, 52195, 50804, 55620, 51946, 58668, 50897, 56871, 50836, 54124, 50836, 55985, 59026, 51811, 52195, 51713, 51472, 52366, 51472, 52541, 51073, 58240, 57676, 50804, 50897, 59412, 52541, 58063, 50897, 50428, 51946, 58063, 57066, 51996, 58063, 50897, 50436, 51394, 52017, 51683, 51472, 51776, 51472, 52695, 58668, 68788, 51946, 58668, 50897, 57857, 50836, 55350, 53875, 50804, 60135, 52747, 50952, 51648, 51073, 52541, 58063, 50897, 50799, 51776, 50952, 51946, 50952, 50417, 52099, 50952, 52695, 50952, 50421, 51713, 51472, 51906, 51933, 51996, 51472, 50804, 50897, 57363, 50897, 59493, 57066, 51384, 52195, 50804, 50897, 50443, 51776, 51073, 51946, 58668, 50897, 57048, 50836, 57688, 50836, 53061, 60632, 51384, 52017, 51713, 51472, 52306, 51472, 52196, 51073, 58942, 57676, 50804, 50897, 52478, 52196, 58063, 50897, 50421, 51946, 58063, 50897, 50425, 51996, 58063, 77554, 51683, 51472, 52002, 51472, 52338, 58668, 50897, 50440, 51996, 58668, 50897, 64614, 50836, 52612, 50836, 57048, 63793, 51304, 52017, 52002, 50952, 51648, 51073, 51946, 58668, 50897, 50455, 51776, 69085, 51713, 50952, 50799, 51906, 51933, 51776, 51933, 51996, 51472, 50804, 50897, 57493, 50897, 53951, 50897, 57363, 50897, 50436, 51946, 58668, 50897, 55258, 50836, 54141, 50836, 53526, 64072, 51811, 52195, 51713, 51472, 52366, 51472, 52541, 51073, 58240, 57676, 50804, 64175, 52541, 58063, 50897, 50799, 51946, 58063, 79936, 51996, 58063, 62270, 51394, 52195, 51683, 51472, 51776, 51472, 52695, 58668, 77119, 51946, 58668, 50897, 53550, 50836, 60409, 50836, 55258, 54465, 51690, 52017, 52747 ]
[ 0, 250, 1769, 12, 20764, 15855, 8, 5175, 24904, 2125, 11, 274, 538, 6, 4246, 13305, 8, 38668, 2236, 4, 20, 2214, 7630, 6568, 10, 25306, 5466, 19, 10, 3344, 9, 2933, 8, 1372, 6711, 29, 6, 14156, 19601, 30, 15352, 30054, 8, 19448, 4785, 4, 85, 3905, 10, 112, 73, 306, 86, 6543, 8, 29130, 11, 23, 24462, 2397, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50636, 52274, 52274, 52274, 52552, 56587, 51290, 51050, 60138, 50943, 50799, 54414, 51196, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50902, 58204, 51101, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 51001, 56472, 67175, 53407, 51173, 50931, 58050, 62118, 53863, 51173, 50951, 63379, 68535, 53407, 51345, 50902, 51312, 50931, 56508, 54414, 51290, 51234, 52019, 50302, 64763, 58134, 60006, 50889, 50799, 53777, 51196, 51279, 51148, 51027, 73076, 51183, 50876, 51183, 51001, 56039, 53077, 51196, 51234, 51148, 50997, 51183, 50871, 51183, 50906, 51183, 50902, 51077, 79705, 51941, 51247, 51939, 51050, 51692, 50871, 51422, 50877, 51422, 50876, 51538, 50450, 56587, 51290, 51050, 60138, 50943, 50799, 54414, 51196, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50902, 58204, 51101, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 51001, 56472, 67175, 53407, 51173, 50931, 58050, 62118, 53863, 51173, 50951, 63379, 68535, 53407, 51345, 50902, 65910, 56508, 53077, 51173, 50906, 59374, 50805, 51234, 52019, 50294, 52019, 50299, 59827, 54414, 65022, 52415, 50314, 50873, 50799, 54812, 51196, 51085, 51148, 51027, 73076, 51183, 50877, 56039, 55062, 51196, 51085, 51148, 50997, 51183, 50900, 51183, 50916, 51183, 79721, 50799, 56587, 51196, 51050, 73657, 51183, 50900, 51183, 50871, 55834, 51247, 56692, 51050, 55247, 56587, 51055, 51050, 60138, 50943, 50799, 54414, 51551, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50902, 58204, 51101, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 51001, 56472, 67175, 53407, 51173, 50931, 58050, 62118, 53863, 51173, 50951, 63379, 68535, 53407, 51345, 50902, 51312, 50931, 56508, 54414, 51055, 51234, 52019, 50302, 64763, 60006, 50889, 50799, 53777, 51551, 51279, 51148, 51027, 73076, 51183, 50876, 51183, 51001, 56039, 53077, 51196, 50997, 51807, 50290, 64307, 51183, 50906, 51183, 50902, 66336, 51120, 51199, 50899, 50981, 79705, 51941, 51050, 51807, 50285, 64307, 51422, 50877, 51422, 50876, 78907, 51279, 68181, 51085, 51212, 63451, 77307, 56587, 51055, 51247, 51709, 50871, 50943, 50799, 54414, 51551, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50906, 60946, 50795, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 50876, 68694, 52483, 53407, 51173, 50902, 62244, 52605, 53863, 51173, 51001, 61352, 52446, 53407, 51345, 50902, 73273, 55082, 53077, 51173, 50906, 59374, 50805, 51234, 52019, 50294, 52019, 50299, 59827, 54414, 65022, 61026, 50805, 50799, 54812, 51551, 51085, 79304, 73076, 51183, 50877, 56039, 55062, 51196, 50900, 51734, 50280, 51244, 51085, 51183, 50916, 51183, 79721, 64057, 51267, 51034, 56587, 51356, 51050, 52019, 50301, 51047, 74720, 50871, 67297, 51085, 54498, 51247, 50932, 52552, 56587, 71883, 78167, 50932, 50799, 53777, 51336, 51279, 51148, 51027, 73076, 51183, 50876, 51183, 51001, 56039, 53077, 51336, 51234, 51148, 50997, 51183, 50871, 51183, 50906, 51183, 50902, 51077, 79705, 51060, 50876, 56876, 51101, 51247, 51939, 51050, 51692, 50420, 54414, 51060, 50906, 55143, 67175, 53250, 51060, 50876, 56876, 62118, 53077, 51060, 50902, 58204, 68535, 53250, 51346, 50877, 51312, 50876, 56508, 56587, 51048, 51197, 52019, 50297, 52019, 50301, 63085, 59782, 50943, 78857, 51336, 51120, 51148, 51050, 51148, 50899, 73076, 51183, 50906, 51183, 50931, 56039, 53777, 51336, 51085, 51148, 51050, 79304, 51183, 50871, 51183, 50877, 51183, 51001, 51077, 77632, 51060, 50902, 58204, 51101, 51234, 51939, 51050, 51939, 50997, 51692, 50420, 53250, 51060, 50876, 56876, 67175, 53077, 51060, 50902, 58204, 62118, 53777, 51060, 51001, 56472, 68535, 53077, 51346, 50906, 63129, 56508, 54414, 51048, 50997, 62163, 50943, 77275, 51336, 51197, 51148, 50956, 51127, 50906, 51183, 51001, 51183, 50951, 56039, 53407, 51336, 51234, 51148, 50997, 51183, 50906, 51183, 50902, 51183, 50931, 51077, 50799, 53777, 51336, 51085, 79304, 51127, 72684, 50876, 51183, 51001, 56039, 53077, 51336, 50861, 51734, 50287, 51148, 51026, 51183, 50906, 51183, 50902, 51077, 56415, 51267, 79705, 51336, 51085, 79304, 51127, 50916, 51183, 50906, 51183, 50876, 56039, 53771, 51336, 52206, 51244, 51085, 51183, 72684, 50906, 51183, 50876, 51183, 50968, 51077, 78857, 51336, 51247, 78494, 61581, 51183, 50877, 51183, 50876, 51183, 50931, 55834, 52046, 51911, 50295, 56389, 51799, 52297, 50294, 61860, 56587, 51072, 52206, 70928, 53177, 50309, 51090, 50799, 54414, 51009, 53492, 51077, 51234, 51196, 50899, 51196, 50871, 51196, 50906, 51870, 50438, 53250, 51009, 51247, 51077, 51050, 51196, 50871, 51356, 50877, 51356, 50876, 51870, 77632, 50976, 50902, 52362, 50314, 51173, 51234, 51538, 50997, 51941, 50420, 53777, 50976, 51001, 64816, 68907, 53407, 50976, 50931, 76932, 70756, 53863, 50976, 50951, 52362, 50319, 76622, 53407, 51066, 50902, 51048, 50931, 64466, 54414, 51072, 51234, 73090, 75677, 70606, 51054, 50799, 53777, 51009, 51279, 50918, 51027, 51196, 50871, 51196, 50876, 51196, 51001, 51870, 50438, 53077, 51009, 50997, 52530, 50290, 59428, 51356, 50906, 51356, 50902, 51870, 50450, 51120, 60959, 51013, 79705, 51352, 51050, 52530, 50285, 61581, 51941, 50877, 51941, 50876, 52369, 50426, 51279, 61120, 51085, 51158, 63451, 55082, 56587, 51072, 51197, 52297, 50297, 75291, 70514, 53177, 50309, 51090, 78857, 51009, 51120, 50918, 51050, 65842, 51196, 50871, 51196, 50906, 51196, 50931, 51870, 50438, 53077, 51009, 51234, 51077, 51050, 51077, 50997, 51196, 50871, 51356, 50906, 51356, 50902, 51870, 50799, 53777, 50976, 51001, 68188, 51173, 50956, 51356, 51197, 51077, 50417, 50634, 50420, 53407, 50976, 50931, 52362, 50314, 51173, 50421, 50633, 50424, 50632, 50426, 53863, 50976, 50951, 52362, 50319, 51173, 50427, 50631, 50431, 50630, 50432, 54985, 50976, 50876, 71389, 57883, 50911, 50434, 50629, 50437, 50628, 50438, 50619, 56418, 50993, 51120, 51221, 50899, 51345, 50906, 51227, 50931, 51227, 51081, 51932, 50450, 50624, 53863, 62306, 75208, 52362, 50295, 76195, 70156, 61510, 53777, 61818, 51936, 50319, 50923, 77632, 51009, 51050, 65842, 51196, 50871, 51196, 50906, 51196, 50902, 51870, 50438, 53250, 51009, 50871, 53177, 50285, 51077, 51050, 51196, 50877, 51356, 50876, 51870, 62291, 51016, 51034, 54414, 51352, 51234, 51538, 51050, 51538, 50997, 51941, 50899, 51941, 50906, 52369, 52552, 50636, 51197, 52297, 50297, 75291, 70514, 53177, 50309, 51090, 54868, 50918, 51050, 65842, 51196, 50871, 51196, 50906, 51196, 50931, 51870, 50438, 51234, 51077, 51050, 51077, 50997, 51196, 50871, 51356, 50906, 51356, 50902, 51870, 57923, 68188, 51173, 50956, 51356, 51197, 51077, 50417, 50634, 63766, 52362, 50314, 51173, 50421, 50633, 50424, 50632, 50426, 50951, 52362, 50319, 51173, 50427, 50631, 50431, 50630, 59409, 71389, 57883, 50911, 50434, 50629, 50437, 50628, 50438, 50619, 51120, 51221, 50899, 51345, 50906, 51227, 50931, 51227 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 21979, 8669, 6, 13305, 6, 856, 17993, 6, 21979, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 18461, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 8593, 26358, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 274, 6, 211, 406, 6, 272, 406, 6, 8, 230, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50446, 51017, 58111, 67288, 50458, 50979, 50924, 51755, 50811, 51261, 51300, 76750, 60823, 51007, 51095, 50939, 51427, 50843, 50811, 50906, 55673, 65614, 55246, 50872, 51157, 51658, 50811, 51261, 51300, 50445, 50939, 75237, 51007, 55758, 50872, 69208, 50811, 50906, 55673, 63037, 69810, 50868, 51014, 65551, 67812, 50811, 51140, 51300, 50426, 50850, 51286, 50909, 51158, 50843, 61539, 58000, 65271, 66900, 50979, 51054, 51658, 50811, 51140, 51300, 50446, 50850, 62289, 55260, 50843, 61539, 58000, 65271, 72065, 50979, 51388, 50458, 50885, 51033, 57342, 73841, 50811, 51261, 51300, 50426, 70084, 51007, 51116, 50939, 51162, 50843, 50811, 50906, 55673, 65614, 62960, 50848, 51055, 51658, 50811, 51261, 51300, 50445, 51007, 63674, 51257, 54891, 51215, 51007, 51221, 50939, 51603, 50450, 51007, 77230, 50811, 50906, 58050, 65614, 75477, 50848, 64603, 51125, 67981, 50879, 65551, 50824, 50909, 52195, 50801, 50811, 51140, 51300, 50426, 50850, 51427, 50909, 51226, 50843, 61539, 54666, 57367, 50893, 50434, 50979, 51090, 51658, 50811, 51140, 51029, 50446, 50939, 61182, 64273, 55260, 50909, 50975, 50979, 51066, 50843, 61539, 57253, 51936, 50319, 75642, 51125, 50976, 54838, 51007, 65424, 50811, 51261, 51300, 51246, 51003, 50960, 51003, 50970, 51003, 50422, 51125, 52038, 51007, 63304, 50811, 51246, 50915, 70642, 50970, 62542, 58050, 56645, 50923, 50434, 51125, 52125, 51007, 52590, 50811, 51140, 51300, 51246, 50995, 64226, 50970, 50943, 50446, 52403, 50993, 57702, 50811, 51246, 50915, 50960, 51003, 50970, 64292, 60358, 56645, 50911, 50458, 51257, 51029, 50462, 50801, 50811, 51261, 51009, 51246, 50995, 64226, 50970, 50943, 50474, 51007, 53025, 50811, 51246, 50915, 50960, 51003, 50970, 64292, 60358, 56645, 50911, 50482, 51007, 51059, 51755, 50811, 51261, 51300, 51246, 50915, 50960, 51003, 50970, 57908, 50939, 54972, 50811, 51246, 51003, 50960, 51003, 50970, 58419, 60358, 61433, 50893, 50434, 50872, 55276, 50847, 70260, 50811, 51140, 51029, 51246, 50943, 50960, 51003, 70804, 50446, 50872, 52175, 50847, 63304, 50811, 51246, 50943, 74175, 50970, 72341, 55673, 56645, 50923, 50458, 50992, 50802, 63516, 79213, 50811, 51140, 51300, 51131, 51003, 76338, 51136, 50914, 55057, 50811, 51131, 51097, 65868, 51136, 60598, 63837, 57367, 50893, 53587, 51066, 59829, 51066, 51658, 50811, 51461, 51029, 51131, 50995, 65868, 51136, 50943, 59829, 50975, 53587, 50975, 50448, 55818, 50860, 53081, 52175, 50843, 50811, 73077, 66860, 51136, 60598, 57253, 57367, 50911, 50457, 57101, 50823, 61991, 50823, 51755, 50811, 51140, 51300, 73077, 71311, 51136, 51003, 50416, 55233, 52442, 53587, 52442, 50426, 51298, 62152, 50811, 73077, 71311, 51136, 60598, 57253, 57367, 50911, 50434, 51007, 55276, 51298, 70260, 50811, 51461, 51029, 51131, 51003, 76338, 51136, 50889, 50446, 51007, 54554, 51298, 62152, 50811, 51131, 50943, 50986, 50943, 51136, 59460, 63837, 51936, 50319, 50911, 50458, 51149, 50860, 50799, 51257, 68938, 50811, 51140, 51300, 51131, 51003, 50986, 50943, 51136, 50889, 50422, 51649, 54675, 51257, 62152, 50811, 51131, 51003, 50986, 50943, 51136, 59460, 63837, 67286, 50893, 50434, 51149, 53925, 51298, 51795, 50801, 50811, 51461, 51300, 51131, 50943, 50986, 50943, 51136, 55082, 50843, 50811, 51131, 50943, 66776, 51136, 74694, 56472, 57367, 50806, 51755, 50811, 51140, 51300, 51131, 51003, 76338, 51136, 57908, 51007, 63304, 50811, 51131, 51003, 71311, 51136, 60598, 63837, 67286, 50893, 50434, 51125, 52125, 51007, 55166, 50811, 51461, 51300, 51131, 50943, 50986, 50943, 72158, 50446, 51257, 53798, 50909, 55940, 50811, 76901, 66776, 51136, 74694, 56472, 57367, 50806, 76220, 65424, 50811, 51261, 50975, 51246, 50805, 59241, 50970, 50879, 50422, 52403, 51072, 50434, 51007, 66456, 52403, 52175, 68574, 76952, 54107, 50939, 65424, 68373, 51261, 50993, 71890, 50960, 51013, 50970, 64609, 64830, 50821, 50931, 74958, 51298, 51072, 51658, 68373, 51150, 50975, 51246, 50943, 57998, 51136, 70606, 50808, 77053, 50951, 54721, 51257, 52590, 68373, 51389, 50802, 51246, 50889, 50986, 51016, 50970, 72341, 64441, 50894, 50931, 50950, 50799, 51439, 59110, 50811, 51930, 51300, 51246, 50943, 51136, 51013, 50929, 50943, 59829, 54217, 53208, 54217, 55057, 50811, 51246, 50889, 77389, 50929, 58532, 58204, 70354, 66900, 51298, 52952, 51439, 70260, 50811, 51261, 51029, 51246, 50889, 51136, 51016, 50929, 56508, 50939, 52001, 50811, 51246, 50914, 51136, 51090, 50929, 57631, 52362, 50314, 67286, 71295, 77924, 51755, 50811, 51930, 51300, 51246, 50943, 51317, 51013, 75561, 50418, 50939, 51029, 55057, 50811, 51246, 51016, 51317, 51016, 50929, 58532, 59292, 57981, 50805, 51658, 50811, 51261, 51300, 51246, 50889, 51317, 51090, 50929, 55082, 51439, 63304, 50811, 51246, 50914, 51317, 51054, 50929, 63925, 61419, 62036, 74304, 53081, 51184, 54291, 51184, 50799, 51257, 61940, 50811, 51261, 51300, 51246, 50943, 50960, 51016, 50970, 51013, 55057, 50811, 51246, 51003, 74175, 50970, 72341, 58050, 72945, 50911, 50434, 51257, 52057, 51257, 55075, 50811, 51140, 51300, 51246, 50889, 56745, 59100, 50446, 51149, 52768, 51298, 54972, 50811, 71890, 50960, 50914, 50970, 70606, 68550, 52370, 50321, 50923, 50458, 51007, 51407, 51755, 50811, 51098, 51029, 51311, 50915, 56745, 50970, 54243, 50843, 50811, 51311, 50889, 74175, 50970, 63925, 64449, 58050, 61433, 50805, 51658, 50811, 51273, 51009, 51311, 51013, 50960, 51013, 50970, 55082, 50843, 50811, 51311, 51013, 50960, 51013, 50970, 55890, 64449, 58050, 61433, 59831, 68497, 76220, 55166, 50811, 51140, 50829, 51150, 51029, 51246, 50943, 66776, 70699, 50422, 51439, 51072, 55057, 50811, 51246, 50943, 50986, 51013, 50998, 60597, 57253, 62219, 60693, 66900, 51125, 52057, 51007, 55166, 50811, 51098, 51009, 51246, 50943, 57998, 74313, 50446, 51439, 54145, 50843, 50811, 51246, 50915, 50986, 51016, 50998, 62542, 56472, 62219, 60693, 59831, 51125, 50811, 76220, 70260, 50811, 51150, 51009, 51246, 50914, 66776, 50998, 50943, 50422, 51125, 54675, 51007, 62152, 50811, 51246, 50943, 66776, 50998, 64292, 56964, 75672, 60126, 73308, 51125, 52057, 51007, 65424, 50811, 51098, 51300, 51246, 50914, 59857, 50998, 50943, 50446, 50909, 51072, 57702, 50811, 51246, 50914, 50986, 51013, 50998, 62542, 54666, 75672, 60693, 50849, 50799, 51439, 65424, 50811, 51140, 51300, 51131, 51003, 50986, 50943, 72158, 50422, 51257, 54675, 51439, 62152, 50811, 51131, 50943, 76338, 51136, 59460, 58000, 57367, 66900, 51257, 55276, 51439, 70260, 50811, 51461, 51300, 51131, 51003, 50986, 50943, 51136, 50943, 50446, 51257, 54554, 51439, 54972, 50811, 76901, 66776, 51136, 59460, 56501, 57367, 69810, 78482, 51057, 51007, 70260, 50811, 71831, 51131, 50943, 66776, 72158, 50422, 50909, 52038, 51007, 54328, 50811, 51461, 50824, 51131, 51013, 57998, 51136, 51090, 76220, 70260, 50811, 51261, 50976, 51246, 50911, 50960, 50893, 50970, 57078, 52403, 59898, 51007, 66456, 52403, 54554, 50909, 51072, 76952, 65424, 68373, 51261, 50860, 51246, 50943, 50960, 51013, 50970, 67566, 50939, 70260, 68373, 51261, 50976, 51246, 50889, 50960, 51013, 59100, 50434, 50850, 52125, 50939, 70260, 68373, 51216, 50976, 59737, 50986, 51016, 59100, 50446, 50850, 54554, 50847, 54774, 68373, 51098, 50975, 51207, 50914, 51246, 51016, 74175, 61464, 65424, 50811, 51140, 51300, 51131 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 4246, 10, 38668, 483, 8, 20535, 483, 6, 278, 11, 230, 10431, 3694, 19, 41, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 15352, 30054, 8, 980, 219, 5466, 19, 11299, 8, 2933, 223, 34693, 6, 1490, 198, 10, 881, 21263, 9, 5, 2060, 119, 6, 381, 6, 230, 10431, 406, 6, 2060, 119, 6, 381, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 56256, 50901, 54000, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 56256, 50901, 54000, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 53441, 50901, 53411, 71423, 52751, 61000, 61107, 50901, 57763, 63867, 53378, 52654, 53441, 50901, 53411, 64627, 53015, 51736, 61107, 50854, 57763, 56529, 53441, 50901, 53378, 50810, 53411, 55306, 52751, 52831, 61107, 50854, 57763, 54746, 53441, 50901, 52751, 50800, 53411, 65586, 53378, 50810, 52751, 51757, 61107, 50854, 53378, 50810, 53190, 50800, 57763, 57622, 53441, 50901, 54097, 50795, 53411, 62533, 61107, 50854, 53378, 50810, 57763, 50854, 50799, 53441, 50901, 53411, 71423, 52751, 61000, 50732, 50274, 50901, 79699, 63867, 55537, 52654, 60100, 50901, 57832, 64627, 53015, 51736, 50732, 50274, 50854, 79699, 56529, 60100, 50901, 55537, 50810, 57832, 55306, 52751, 52831, 50732, 50274, 50854, 79699, 54746, 60100, 50901, 52751, 50800, 57832, 65586, 55537, 50810, 52751, 51757, 50732, 50274, 50854, 55537, 50810, 52751, 50800, 79699, 57622, 60100, 50901, 53190, 50795, 57832, 62533, 50732, 50274, 50854, 55537, 50810, 79699, 50854, 50799, 60100, 50901, 57832, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 56256, 50901, 54000, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 56256, 50901, 54000, 71423, 52751, 61000, 61107, 50901, 57763, 63867, 53378, 52654, 53441, 50901, 53411, 64627, 53015, 51736, 61107, 50854, 57763, 56529, 53441, 50901, 53378, 50810, 53411, 55306, 52751, 52831, 61107, 50854, 57763, 54746, 53441, 50901, 52751, 50800, 53411, 65586, 53378, 50810, 52751, 51757, 61107, 50854, 53378, 50810, 53190, 50800, 57763, 57622, 53441, 50901, 54097, 50795, 53411, 62533, 61107, 50854, 53378, 50810, 57763, 50854, 50799, 53441, 50901, 53411, 71423, 52751, 61000, 50732, 50274, 50901, 79699, 63867, 55537, 52654, 60100, 50901, 57832, 64627, 53015, 51736, 50732, 50274, 50854, 79699, 56529, 60100, 50901, 55537, 50810, 57832, 55306, 52751, 52831, 50732, 50274, 50854, 79699, 54746, 60100, 50901, 52751, 50800, 57832, 65586, 55537, 50810, 52751, 51757, 50732, 50274, 50854, 55537, 50810, 52751, 50800, 79699, 57622, 60100, 50901, 53190, 50795, 57832, 62533, 50732, 50274, 50854, 55537, 50810, 79699, 50854, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 8, 19834, 12, 5827, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 18558, 6, 8, 5730, 2342, 4467, 6, 2351, 41, 9066, 8, 5679, 26709, 5466, 4, 8504, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 19, 10, 33215, 13931, 9, 274, 10431, 406, 6, 163, 119, 6, 381, 406, 6, 83, 6, 8, 83, 406, 4, 20, 15229, 18, 13428, 14269, 7, 10, 455, 12, 16096, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 55746, 52316, 51204, 50427, 52316, 51013, 52316, 74610, 51638, 73125, 51638, 50915, 51638, 55441, 51794, 50995, 51794, 51204, 50451, 51794, 51003, 70526, 51047, 79757, 52540, 51655, 50415, 51887, 51243, 52316, 51243, 51794, 51445, 51154, 52903, 51957, 74905, 51164, 75498, 51396, 51591, 50432, 51017, 69052, 51488, 51145, 51488, 51127, 51488, 50918, 50992, 51675, 50439, 51794, 56329, 50445, 50872, 51627, 50450, 51017, 51961, 50456, 51396, 51178, 50799, 52316, 51878, 51201, 51145, 51201, 51077, 51887, 53486, 51299, 51353, 51332, 51359, 50415, 51338, 74905, 51396, 72270, 51017, 51310, 50431, 72478, 50437, 51375, 51047, 51629, 64345, 51629, 51047, 50992, 74449, 52316, 51878, 50444, 50872, 51562, 50449, 51017, 51419, 50455, 51396, 51642, 50461, 51394, 51183, 52481, 53142, 53148, 51671, 51638, 51243, 66140, 51314, 51394, 51183, 51794, 51313, 51638, 51243, 53148, 51449, 51491, 51445, 51426, 51801, 52021, 51359, 51533, 71785, 51506, 75850, 51037, 69133, 51017, 55306, 51375, 51244, 51629, 51148, 51037, 51212, 50439, 51629, 51145, 50944, 51894, 51506, 51233, 50444, 51017, 51218, 50451, 51037, 51312, 50457, 51506, 52179, 50461, 51794, 51314, 51426, 51671, 50799, 51794, 51447, 51488, 51703, 51794, 52980, 51395, 54171, 52316, 52727, 52316, 51445, 51395, 53678, 55518, 51714, 54457, 51605, 54785, 51244, 50415, 51488, 61653, 51426, 51748, 50420, 51396, 51878, 50426, 51017, 75506, 50979, 51123, 50437, 51299, 53801, 50438, 51299, 52263, 51093, 52212, 57896, 50439, 50944, 51060, 50440, 51299, 52407, 50445, 50872, 51091, 50451, 50979, 51192, 50457, 51017, 51158, 57157, 71718, 51794, 51445, 51154, 51445, 55663, 56674, 66526, 52540, 51991, 50424, 55663, 55341, 51164, 51677, 50432, 55663, 50948, 51396, 51218, 50439, 55663, 51158, 50992, 52015, 50444, 50872, 51591, 50448, 55663, 56827, 51017, 51542, 50456, 55663, 51030, 51396, 51309, 51601, 51299, 51313, 55663, 51091, 51332, 52062, 51338, 51307, 50421, 51396, 51255, 50427, 51017, 79309, 51396, 51397, 50433, 55663, 57581, 50992, 51790, 50439, 55663, 51286, 50445, 50872, 51627, 50448, 61143, 65399, 51017, 51679, 50456, 50726, 50305, 51624, 50300, 54836, 51601, 51638, 51748, 51491, 57771, 51426, 61489, 59018, 51364, 51751, 53142, 50416, 51533, 52071, 50421, 51506, 51591, 50427, 51037, 51692, 50432, 54942, 51060, 50979, 51162, 50439, 63331, 51077, 50939, 51204, 50445, 50944, 80051, 76895, 50799, 53148, 51145, 50939, 51377, 51640, 51336, 50415, 51506, 72442, 50979, 59492, 50944, 79935, 50939, 54993, 51887, 51703, 51154, 51148, 51164, 51077, 50992, 51183, 50872, 51183, 51132, 51077, 50799, 51638, 52335, 53148, 51313, 63331, 51060, 50979, 51680, 50944, 51535, 50415, 51426, 53201, 51533, 51655, 50421, 51751, 52151, 50423, 63331, 50806, 50427, 51506, 50981, 50431, 63331, 74439, 51037, 51562, 50438, 63331, 51173, 50439, 50939, 51244, 50445, 50944, 51310, 50447, 63331, 50911, 50455, 63331, 50924, 50979, 51233, 50799, 52316, 51748, 63331, 51834, 50300, 51353, 51602, 51359, 50416, 51299, 59519, 57783, 51111, 50422, 63331, 57327, 50979, 57421, 63331, 51138, 50433, 50885, 51333, 50439, 63331, 50976, 50992, 53142, 50446, 50979, 52519, 50447, 55663, 51354, 50455, 61143, 60345, 50885, 50974, 70526, 51748, 54942, 51141, 52540, 51445, 51957, 51307, 50415, 51794, 56599, 50420, 51164, 52151, 50426, 51396, 51241, 50431, 51017, 71003, 53664, 55122, 50872, 51183, 50439, 59018, 51336, 50443, 51017, 73697, 51396, 68366, 52695, 65847, 51996, 64368, 67163, 51491, 51447, 50799, 51794, 51447, 51638, 51447, 51017, 51310, 51640, 51336, 50415, 53780, 51189, 51037, 51413, 51506, 78787, 53916, 73835, 51426, 51145, 51375, 51314, 51299, 51148, 51396, 51148, 51602, 51103, 50439, 51836, 51318, 74659, 50445, 50872, 51191, 50451, 50979, 51346, 50456, 52032, 51177, 51017, 51173, 50799, 51794, 51922, 51154, 52829, 55663, 70927, 52541, 52644, 50872, 51336, 51957, 52208, 50421, 52540, 51592, 50423, 55663, 64002, 51164, 51675, 50431, 55663, 51736, 51396, 51562, 50439, 55663, 51158, 50992, 51592, 50445, 50872, 51675, 50448, 55663, 55260, 51017, 68862, 55663, 51021, 51396, 51221, 50799, 55663, 50936, 50415, 51299, 51293, 51332, 51307, 51338, 71785, 51396, 51412, 50422, 55663, 54851, 51017, 62118, 51396, 51677, 50438, 50992, 51945, 50439, 55663, 72992, 61143, 50976, 50872, 51627, 50455, 50726, 50305, 71840, 50943, 50799, 51638, 51151, 51491, 55392, 51426, 59828, 59018, 51274, 50415, 51751, 51353, 51533, 51036, 50421, 51506, 51552, 50426, 51037, 51518, 50432, 54942, 61613, 78583, 63331, 51552, 50939, 51362, 50444, 50944, 53562, 50979, 59827, 55663, 69495, 50944, 51862, 50799, 53780, 51314, 53148, 51244, 51640, 67481, 61143, 50807, 51506, 51742, 50939, 51333, 50421, 50979, 51318, 50427, 50944, 52605, 50939, 51177, 50437, 51887, 51080, 51154, 60934, 51996, 51447, 50992, 50918, 51132, 51446, 50439, 50872, 51080, 50451, 51164, 50943, 50799, 51638, 53588, 53148, 51243, 51426, 52829, 63331, 73181, 52695, 51922, 51751, 51293, 51533, 51655, 50421, 51506, 51422, 50423, 63331, 50806, 50427, 51037, 51680, 50431, 63331, 59273, 50979, 53912, 50939, 51148, 50439, 63331, 51012, 50448, 63331, 51021, 50944, 56374, 50456, 63331, 50940, 50979, 51328, 50799, 63331, 50940, 51602, 71718, 52338, 51671, 56177, 63309, 51299, 51449, 52316, 51671, 51396, 51518, 50420, 63331, 51030, 50885, 66010, 50979, 50889, 50431, 63331, 60022, 50885, 56389, 63331, 51483, 50439, 50992, 52335, 50444, 50979, 51477, 50447, 55663, 50975, 50451, 50885, 52011, 50455, 61143, 56210, 51396, 51233, 50799, 54541, 52916, 51154, 52720, 51794, 52204, 54942, 51343, 52540, 51945, 50415, 51957, 53454, 50420, 51164, 51991, 50426, 51396, 51295, 50432, 53664, 71840, 73835, 50872, 51145, 50439, 59018, 51685, 50444, 51017, 54058, 52695, 68876, 51191, 50456, 51996, 63593, 51111, 50799, 53780, 51878, 51426, 50803, 52540, 51359, 50417, 51794, 60861, 52065, 54658, 51164, 53241, 50421, 51638, 52801, 52316, 58099, 53148, 52422, 51396, 51161, 50427, 52316, 58459, 51638, 52726, 52065, 50880, 51042, 51095, 50434, 51794, 51010, 50436, 51426, 57784, 55663, 60363, 51154, 50811, 52065, 51127, 51017, 51124, 50439, 51857, 51077, 50440, 51491, 67760, 51375, 57276, 51165, 50817, 51042, 51218, 50446, 51491, 50811, 63331, 50976, 50448, 51375, 52116, 51165, 55552, 51357, 59154, 59018, 51286, 50455, 51488, 55577, 51395, 66515, 50889, 50458, 51201, 56628, 51600, 50803, 50799, 51638, 51353, 51491, 51671, 53089, 56769, 54942, 51226, 51506, 78996, 50989, 51307, 53148, 52062, 51638, 51243, 51491, 51671, 51794, 56515, 51640, 51307, 50417, 51394, 60055, 50906, 51363, 51037, 69745, 51028, 51054, 73132, 50430, 54942, 78881, 50906, 69400, 51037, 50914, 50433, 54942, 65452, 54942, 64104, 50931, 51009, 50439, 50944, 51941, 50444, 51028, 51177, 54942, 71840, 65029, 50906, 50943, 51037, 51003, 50455, 54942, 62620, 51028, 51111, 51017, 50915, 54594, 51356, 51794, 54557, 54942, 51021, 50988, 51446, 50415, 51301, 51627, 51699, 52407, 51638, 51490, 51137, 51009, 50419, 50906, 58823, 54942, 71450, 51448, 50425, 51028, 54107, 51690, 50824, 51017, 51381, 50431, 50931, 54684, 53664, 56781, 51255, 50438, 50968, 51009, 51733, 50824, 51299, 51749, 51088, 51244, 51301, 51148, 55667, 51952, 50292, 51077, 51526, 51336, 50444, 51217, 51091, 50445, 53664 ]
[ 0, 250, 15352, 30054, 5175, 2125, 19, 15855, 16882, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 13305, 3315, 5, 169, 6, 2351, 10, 2933, 8, 19448, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 2214, 16, 11, 5, 762, 9, 83, 3694, 8, 1575, 10, 33215, 16739, 9, 1918, 6, 1918, 406, 428, 245, 6, 163, 43531, 6, 1918, 6, 8, 274, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50968, 50978, 57340, 51318, 50999, 51412, 50429, 51062, 53193, 51220, 54137, 50877, 51318, 50999, 57991, 51430, 54509, 50877, 51318, 51146, 51318, 55746, 50877, 51318, 51220, 51318, 67964, 51318, 50999, 51412, 50453, 51062, 53820, 51220, 50905, 57923, 51253, 51147, 50995, 56248, 51962, 50326, 54342, 73750, 50968, 51318, 75795, 58262, 50968, 51253, 55524, 63988, 50978, 57340, 51318, 50999, 51412, 50429, 51062, 53193, 51220, 54137, 50877, 51318, 50999, 57991, 51430, 55670, 50861, 51218, 50876, 51218, 51001, 51218, 50951, 51218, 51062, 51218, 51487, 50943, 52591, 51787, 50873, 53645, 51218, 50906, 51218, 51028, 51218, 50931, 51218, 51081, 51218, 51339, 56389, 51399, 55322, 50871, 51218, 50877, 51218, 50902, 51218, 50931, 51218, 50999, 51218, 51339, 51221, 50453, 51430, 53920, 51405, 50873, 57126, 51218, 50877, 51218, 50973, 51218, 51001, 68106, 51062, 57356, 50877, 51734, 50325, 51675, 75795, 51798, 50968, 50995, 55524, 65348, 51006, 57340, 51709, 51430, 51709, 59409, 53130, 50328, 68112, 50968, 51709, 51430, 51709, 59758, 53130, 50328, 70347, 50877, 51709, 51339, 51709, 52591, 50876, 53130, 50332, 60316, 50931, 51709, 51405, 51709, 59419, 53130, 50327, 51174, 67964, 51709, 51062, 51645, 50453, 51430, 54622, 50876, 53130, 50331, 50972, 54578, 51709, 51001, 51709, 56546, 53130, 50320, 51174, 63174, 51709, 51430, 52168, 75795, 64533, 50968, 51709, 55524, 53130, 50328, 51174, 57340, 51709, 51430, 51709, 59409, 53130, 50328, 68112, 50968, 51709, 51430, 51709, 50450, 50876, 53130, 50328, 70347, 50861, 51637, 50876, 51637, 51001, 51637, 50951, 51637, 51062, 51637, 51487, 51709, 52591, 51787, 51174, 53645, 51637, 50906, 51637, 51028, 51637, 50931, 51637, 51081, 51637, 51339, 51709, 50438, 51399, 51174, 65827, 51637, 50877, 51637, 50876, 51637, 50968, 51637, 50999, 51637, 51339, 51645, 50453, 51430, 54622, 51405, 50972, 57126, 51637, 50877, 51637, 50973, 51637, 51001, 51709, 50426, 51062, 51174, 63174, 51709, 50999, 53849, 75795, 58262, 50968, 51253, 55524, 51006, 57340, 51709, 59409, 50978, 59419, 51253, 50968, 51253, 59758, 59781, 50877, 62245, 69215, 50866, 54852, 66731, 77281, 53070, 50877, 66731, 77281, 52670, 50877, 66731, 77281, 52767, 50877, 66731, 77281, 52896, 50877, 66731, 77281, 53027, 50965, 76509, 70933, 52763, 50877, 63257, 68081, 57092, 50906, 74685, 67883, 50915, 52591, 50877, 66731, 77281, 52670, 50965, 76509, 70933, 52767, 50877, 66731, 77281, 53027, 50916, 61324, 66731, 53007, 50871, 58421, 61739, 50915, 52591, 50871, 61324, 74943, 52670, 50916, 73477, 68270, 52767, 50871, 51709, 50877, 51709, 50902, 51709, 69375, 51637, 50899, 64636, 63190, 50900, 79339, 51174, 52591, 50900, 62710, 61324, 52670, 50916, 61324, 66731, 52767, 50965, 51047, 50973, 51047, 51001, 51047, 50456, 50877, 62245, 69215, 50866, 54852, 66731, 77281, 53070, 50877, 66731, 77281, 52670, 50877, 66731, 77281, 52767, 50877, 66731, 77281, 52896, 50877, 66731, 77281, 53027, 50965, 76509, 70933, 52763, 50877, 63257, 68081, 57092, 50876, 69928, 64951, 50915, 52591, 50973, 68270, 66876, 52670, 50877, 66731, 77281, 52767, 50973, 68270, 66876, 53027, 51040, 62252, 68520, 53007, 50906, 51709, 51028, 51109, 50931, 51109, 52591, 50877, 66731, 77281, 52670, 50965, 76509, 70933, 52767, 50877, 66731, 77281, 53027, 50900, 62710, 61324, 53007, 50916, 51314, 50877, 51314, 50876, 51314, 50796, 58296, 51314, 50916, 51314, 50965, 51314, 50456, 50902, 65140, 66986, 50866, 55331, 66876, 68822, 53070, 50902, 66876, 68822, 52670, 50902, 66876, 68822, 52767, 50902, 66876, 68822, 52896, 50902, 66876, 68822, 53027, 51028, 77281, 50837, 51147, 52763, 50902, 66257, 73276, 57092, 51001, 51619, 50322, 51619, 50326, 50915, 52591, 50902, 66876, 68822, 52670, 51028, 77281, 50837, 51147, 52767, 50902, 66876, 68822, 53027, 50877, 74943, 66876, 53007, 50906, 61739, 64951, 50915, 52591, 50906, 74943, 69148, 52670, 50877, 68270, 75967, 52767, 50906, 51709, 50902, 51709, 50951, 51709, 55989, 51637, 50861, 64897, 63190, 50871, 53130, 50313, 51174, 52591, 50871, 61324, 74943, 52670, 50877, 74943, 66876, 52767, 51028, 51047, 50968, 51047, 51147, 51047, 50456, 50902, 66876, 66986, 50866, 55331, 66876, 68822, 53070, 50902, 66876, 68822, 52670, 50902, 66876, 68822, 52767, 50902, 66876, 68822, 52896, 50902, 66876, 68822, 53027, 51028, 77281, 50837, 51147, 52763, 50902, 66257, 73276, 57092, 50931, 52026, 50324, 80082, 50915, 52591, 51001, 75967, 50837, 51081, 52670, 50902, 66876, 68822, 52767, 51001, 75967, 50837, 51081, 53027, 50989, 68520, 70933, 53007, 51001, 51109, 51114, 51109, 51081, 51109, 52591, 50902, 66876, 68822, 52670, 51028, 77281, 50837, 51147, 52767, 50902, 66876, 68822, 53027, 50871, 61324, 74943, 53007, 50906, 51314, 51028, 51314, 50931, 51314, 66243, 51040, 68186, 65186, 63236, 50877, 55854, 50861, 53567, 59362, 50453, 50916, 54622, 50899, 56573, 58529, 54852, 56115, 50902, 53004, 50931, 56174, 50999, 53881, 51146, 56739, 51339, 53193, 51814, 54378, 51339, 52691, 51146, 57366, 50999, 54653, 50931, 57904, 50999, 52989, 50931, 55371, 50902, 54622, 51081, 56573, 51114, 50851, 57923, 59010, 51114, 54711, 50999, 55054, 51114, 53220, 51001, 56552, 51114, 54150, 50999, 55270, 50931, 53269, 50902, 58862, 50877, 54478, 50871, 55854, 50877, 53567, 50902, 60201, 50931, 54622, 50951, 56573, 60989, 55694, 59010, 59663, 54569, 55054, 50861, 53220, 50906, 56552, 51028, 54150, 50902, 55270, 50951, 53269, 50902, 58862, 50906, 54478, 50861, 55854, 50902, 53567, 50906, 60201, 50861, 54622, 50899, 56573, 59362, 54852, 59010, 50902, 54711, 50931, 55054, 50999, 52580, 51146, 54889, 51339, 54221, 52128, 51148, 69375, 51253, 50456, 51120, 51253, 50899, 54846, 74166, 54852, 58172, 50902, 53728, 50931, 54252, 50999, 52921, 51146, 56739, 51339, 53193, 51814, 54378, 51339, 52691, 51146, 57366, 50999, 53743, 50931, 55118, 50999, 53140, 50931, 56936, 50902, 53820, 51062, 54846, 51147, 50822, 56229, 58172, 51147, 53728, 51081, 54252, 51114, 52921, 51001, 56739, 51114, 53193, 51081, 54378, 51114, 52691, 51001, 57366, 50906, 53743, 50989, 55118, 50906, 53140, 51001, 56936, 51114, 53820, 51081, 54846, 79407, 57923, 58172, 51114, 53728, 50999, 54252, 51114, 52921, 51001, 56739, 51114, 53193, 50999, 54378, 50931, 52691, 50902, 57366, 50877, 53743, 50871, 55118, 50877, 53140, 51028, 56936, 50902, 53820, 50899, 51148, 78872, 50931, 51148, 50796, 58783, 51148, 50902, 51148, 50999, 51148, 50456, 80242, 50931, 51148, 51399, 51148, 50796, 63174, 75511, 51911, 50329, 51911, 50337, 59791, 50877, 55118, 50861, 53140, 50871, 56936, 50916, 53820, 50899, 54846, 66457, 54852, 59991, 50902, 53066, 50931, 54347, 50999, 53906, 51146, 57544, 51339, 53911, 51814, 55098, 51339, 54181, 51146, 62079, 50999, 54746, 50931, 54803, 50999, 52843, 50931, 58305, 50902, 54194, 51081, 54846, 79407, 57923, 58172, 51114, 53728, 50999, 54252, 51114, 52921, 51001, 56739, 51114, 53193, 50999, 54378, 50931, 52691, 50902, 57366, 50877, 53743, 50871, 55118, 50877, 53140, 50902, 56936, 50931, 53820, 50951, 54846, 59139, 55694, 58172, 50861, 53728, 50899, 54252, 50861, 52921, 50906, 56739, 51028, 53193, 50902, 54378, 50951, 52691, 50902, 57366, 50906, 53743, 50861, 55118, 50902, 53140, 50906, 56936, 50861, 53820, 50899, 54846, 74166, 54852, 58172, 50902 ]
[ 0, 250, 765, 19834, 2125, 19, 10, 3495, 2712, 6, 4246, 10, 13305, 8, 38668, 2236, 4, 20, 6711, 25935, 1626, 227, 10, 25306, 619, 6, 3423, 9, 11098, 6, 8, 10, 2842, 9, 15073, 4, 8504, 11, 274, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 15229, 11498, 10, 7212, 20889, 4, 20, 33215, 16739, 9, 274, 6, 230, 406, 73, 717, 6, 274, 6, 8, 163, 428, 3639, 7, 63, 13363, 28191, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50631, 51540, 51633, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 52200, 60250, 66985, 75440, 51148, 50462, 51633, 63211, 60473, 50981, 50474, 52200, 77502, 60250, 66985, 50981, 51540, 51993, 51148, 50902, 75575, 51145, 50997, 53753, 50438, 54761, 52019, 50326, 59124, 54761, 51148, 50902, 51080, 51081, 51145, 51540, 51721, 51677, 50997, 51244, 50899, 51183, 50906, 51677, 57019, 57991, 51643, 60250, 51911, 50301, 68026, 51145, 50462, 51721, 66412, 50995, 50474, 51643, 60367, 60250, 50995, 51540, 51633, 63211, 70062, 51807, 50302, 51422, 50871, 73660, 52200, 63348, 66985, 56692, 51633, 63211, 60473, 57105, 51643, 51148, 51050, 51145, 77920, 50877, 66743, 51145, 51540, 51633, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 52200, 60250, 66985, 75440, 51148, 50462, 51633, 66412, 60473, 50981, 50474, 52200, 77502, 60250, 66985, 50981, 51540, 51993, 51148, 50902, 51244, 50931, 51183, 50997, 53753, 50438, 54761, 52019, 50326, 57991, 54761, 51148, 50902, 51080, 51081, 51145, 51540, 51633, 51677, 50997, 62163, 51939, 50902, 51692, 53337, 56656, 50871, 57991, 51643, 71326, 61817, 58327, 50981, 50462, 51721, 70276, 63211, 51097, 50474, 51643, 71326, 61817, 58327, 50981, 51540, 51721, 51677, 50997, 51939, 50899, 51692, 50906, 51677, 50474, 51993, 79442, 50995, 51540, 51993, 51145, 51027, 51047, 71578, 50931, 64488, 52200, 66953, 60138, 75514, 57991, 51643, 71326, 60138, 63348, 50995, 50462, 51633, 63085, 60138, 70062, 51097, 50474, 52200, 77410, 50995, 51540, 51993, 51145, 74169, 71578, 50931, 64488, 51633, 77502, 60138, 70062, 57991, 51721, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51993, 79442, 50995, 51540, 51993, 51145, 51027, 51047, 71578, 50931, 64488, 52200, 66953, 60138, 75514, 57991, 51643, 60250, 71326, 51145, 77920, 50462, 51633, 70062, 51097, 50474, 52200, 66953, 60138, 75514, 50995, 51540, 51993, 51145, 74169, 71578, 50931, 64488, 51633, 77502, 60138, 70062, 57991, 51721, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51993, 79442, 50995, 51540, 52372, 51145, 50956, 71946, 51145, 50997, 53413, 54439, 56656, 52200, 59783, 77410, 57991, 54761, 51148, 50956, 51911, 50326, 51148, 50462, 50861, 50995, 50474, 54761, 59783, 51911, 50326, 50995, 51540, 51993, 51145, 50899, 65910, 51145, 50997, 53413, 53645, 56656, 51633, 60367, 64924, 57991, 54761, 51148, 50899, 51911, 50326, 51148, 50462, 50871, 50995, 50474, 54761, 60367, 51911, 50326, 50995, 51540, 51993, 64924, 60700, 75440, 73660, 52372, 75514, 68294, 56656, 51993, 64924, 60700, 57105, 51993, 60250, 65910, 52019, 50301, 51148, 50462, 52200, 75514, 51097, 50474, 51633, 77502, 63211, 60473, 50995, 51540, 51633, 51662, 50906, 51592, 50902, 51677, 51050, 54143, 50871, 52919, 50450, 51643, 51244, 50877, 51314, 50876, 51148, 51540, 51234, 51145, 50906, 51939, 50902, 51692, 50415, 51485, 51677, 62335, 57991, 51641, 60250, 66985, 75440, 51148, 50462, 51485, 63211, 60473, 50981, 50474, 51641, 77502, 60250, 66985, 50981, 51540, 51509, 51148, 50902, 75575, 51145, 50997, 53753, 50438, 52336, 52019, 50326, 59124, 52336, 51148, 50902, 51080, 51081, 51145, 51540, 51723, 51677, 50997, 51244, 50899, 51183, 50906, 51677, 57019, 57991, 51431, 60250, 51911, 50301, 68026, 51145, 50462, 51723, 66412, 50995, 50474, 51431, 60367, 60250, 50995, 51540, 51485, 63211, 70062, 51807, 50302, 51422, 50871, 73660, 51641, 63348, 66985, 56692, 51485, 63211, 60473, 57105, 51431, 51148, 51050, 51145, 77920, 50877, 66743, 51145, 51540, 51485, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 51641, 60250, 66985, 75440, 51148, 50462, 51485, 66412, 60473, 50981, 50474, 51641, 77502, 60250, 66985, 50981, 51540, 51509, 51148, 50902, 51244, 50931, 51183, 50997, 53753, 50438, 52336, 52019, 50326, 57991, 52336, 51148, 50902, 51080, 51081, 51145, 51540, 51485, 51677, 50997, 62163, 51939, 50902, 51692, 53337, 56656, 50871, 57991, 51431, 71326, 61817, 58327, 50981, 50462, 51723, 70276, 63211, 51097, 50474, 51431, 71326, 61817, 58327, 50981, 51540, 51723, 51677, 50997, 51939, 50899, 51692, 50906, 51677, 50474, 51509, 79442, 50995, 51540, 51509, 51145, 51027, 51047, 71578, 50931, 64488, 51641, 66953, 60138, 75514, 57991, 51431, 71326, 60138, 63348, 50995, 50462, 51485, 63085, 60138, 70062, 51097, 50474, 51641, 77410, 50995, 51540, 51509, 51145, 74169, 71578, 50931, 64488, 51485, 77502, 60138, 70062, 57991, 51723, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51509, 79442, 50995, 51540, 51509, 51145, 51027, 51047, 71578, 50931, 64488, 51641, 66953, 60138, 75514, 57991, 51431, 60250, 71326, 51145, 77920, 50462, 51485, 70062, 51097, 50474, 51641, 66953, 60138, 75514, 50995, 51540, 51509, 51145, 74169, 71578, 50931, 64488, 51485, 77502, 60138, 70062, 57991, 51723, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51509, 79442, 50995, 51540, 51579, 51145, 50956, 71946, 51145, 50997, 53413, 54439, 56656, 51641, 59783, 77410, 57991, 52336, 51148, 50956, 51911, 50326, 51148, 50462, 50861, 50995, 50474, 52336, 59783, 51911, 50326, 50995, 51540, 51509, 51145, 50899, 65910, 51145, 50997, 53413, 53645, 56656, 51485, 60367, 64924, 57991, 52336, 51148, 50899, 51911, 50326, 51148, 50462, 50871, 50995, 50474, 52336, 60367, 51911, 50326, 50995, 51540, 51509, 64924, 60700, 75440, 73660, 51579, 75514, 68294, 56656, 51509, 64924, 60700, 57105, 51509, 60250, 65910, 52019, 50301, 51148, 50462, 51641, 75514, 51097, 50474, 51485, 77502, 63211, 60473, 50995, 51540, 51485, 51662, 50906, 51592, 50902, 51677, 51050, 54143, 50871, 52919, 50450, 51431, 51244, 50877, 51314, 50876, 51148, 51540, 51234, 51145, 50906, 51939, 50902, 51692, 50415, 51967, 51677, 62335, 57991, 52994, 60250, 66985, 75440, 51148, 50462, 51967, 63211, 60473, 50981, 50474, 52994, 77502, 60250, 66985, 50981, 51540, 52249, 51148, 50902, 75575, 51145, 50997, 53753, 50438, 54113, 52019, 50326, 59124, 54113, 51148, 50902, 51080, 51081, 51145, 51540, 52813, 51677, 50997, 51244, 50899, 51183, 50906, 51677, 57019, 57991, 52064, 60250, 51911, 50301, 68026, 51145, 50462, 52813, 66412, 50995, 50474, 52064, 60367, 60250, 50995, 51540, 51967, 63211, 70062, 51807, 50302, 51422, 50871, 73660, 52994, 63348, 66985, 56692, 51967, 63211, 60473, 57105, 52064, 51148, 51050, 51145, 77920, 50877, 66743, 51145, 51540, 51967, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 52994, 60250, 66985, 75440, 51148, 50462, 51967, 66412, 60473, 50981, 50474, 52994, 77502, 60250, 66985, 50981, 51540, 52249, 51148, 50902, 51244, 50931, 51183, 50997, 53753, 50438, 54113, 52019, 50326, 57991, 54113, 51148, 50902, 51080, 51081, 51145, 51540, 51967, 51677, 50997, 62163, 51939, 50902, 51692, 53337, 56656, 50871, 57991, 52064, 71326, 61817, 58327, 50981, 50462, 52813, 70276, 63211, 51097, 50474, 52064, 71326, 61817, 58327, 50981, 51540, 52813, 51677, 50997, 51939, 50899, 51692, 50906, 51677, 50474, 52249, 79442, 50995, 51540, 52249, 51145, 51027, 51047, 71578, 50931, 64488, 52994, 66953, 60138, 75514, 57991, 52064, 71326, 60138, 63348, 50995, 50462, 51967, 63085, 60138, 70062, 51097, 50474, 52994, 77410, 50995, 51540, 52249, 51145, 74169, 71578, 50931, 64488, 51967, 77502, 60138, 70062, 57991, 52813, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 52249 ]
[ 0, 4688, 14899, 5175, 2214, 4246, 10, 20902, 11739, 9, 17465, 102, 6, 10170, 1499, 6, 13305, 6, 38668, 483, 6, 8, 21979, 8669, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 33558, 5466, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 41, 12447, 1001, 20889, 1328, 6, 19, 5, 40286, 12608, 8, 2060, 19983, 5705, 6, 1271, 7, 63, 33200, 8, 20425, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 53028, 75011, 50841, 51570, 53057, 51956, 50799, 53094, 52122, 52211, 51732, 53112, 52121, 50801, 70315, 67444, 53855, 50801, 70315, 50846, 51361, 53219, 51531, 52821, 52117, 52821, 51479, 56289, 63247, 52396, 70357, 51928, 50884, 77001, 50799, 52183, 51313, 53015, 51293, 70357, 51928, 63916, 52992, 51068, 54405, 70487, 51361, 52565, 52939, 51145, 54133, 51145, 51479, 56289, 67902, 53533, 51479, 54094, 50884, 51453, 53902, 54885, 61243, 55145, 50878, 50799, 73987, 53242, 50839, 53242, 50846, 53375, 50837, 52264, 50803, 54097, 50836, 53512, 53790, 51928, 52990, 50949, 50965, 59125, 50876, 59125, 50416, 52183, 50834, 53242, 63180, 52183, 50959, 53242, 65739, 53242, 51177, 53375, 51100, 52264, 50803, 54097, 50897, 53512, 50925, 51396, 55109, 58687, 50873, 52112, 50421, 50909, 50905, 50425, 56787, 51620, 52183, 50820, 53242, 50839, 52264, 50803, 53512, 50854, 54097, 53530, 51463, 54912, 51179, 54660, 52183, 50839, 53242, 59185, 52183, 59517, 53242, 50925, 53242, 50937, 53375, 50917, 52264, 50803, 54097, 50942, 53512, 50942, 51396, 56566, 59243, 50892, 52093, 50433, 50909, 54233, 55145, 50833, 52183, 50834, 53242, 50820, 53242, 50839, 53375, 50820, 52264, 50803, 54097, 50836, 53512, 53933, 50898, 56289, 57681, 52183, 50834, 53242, 52878, 56787, 50849, 53242, 50833, 52183, 50925, 53242, 50937, 53375, 50937, 52264, 50803, 53512, 50833, 54097, 50854, 51396, 56729, 54265, 58500, 50992, 56990, 54058, 54017, 50977, 52183, 50839, 53242, 50839, 53242, 50878, 53375, 51177, 52264, 50823, 53512, 51121, 54097, 50942, 70357, 51463, 54912, 56883, 52183, 50820, 53242, 52738, 53942, 50937, 52183, 50942, 53242, 50942, 52939, 50866, 53105, 50845, 52314, 50803, 54133, 51008, 54205, 50959, 51396, 57245, 54042, 77997, 73668, 51819, 50457, 50992, 58649, 75166, 53242, 50839, 51691, 50855, 50799, 56542, 50812, 51691, 50820, 53242, 50839, 79430, 52696, 50855, 54097, 50836, 59640, 51928, 50895, 50871, 53265, 50965, 53265, 50416, 72449, 53242, 63094, 51691, 50942, 53242, 68655, 72449, 53242, 50862, 79430, 52696, 50836, 54097, 50855, 52105, 50421, 51396, 64368, 56743, 62330, 53172, 56787, 50800, 64327, 53242, 50839, 53242, 51178, 51691, 51255, 79430, 54097, 51177, 52696, 50925, 51068, 54405, 50898, 54212, 70690, 64327, 53242, 59483, 51691, 50937, 53242, 58672, 52393, 50854, 52061, 50823, 53190, 50813, 52696, 50813, 51396, 54265, 72969, 53108, 50309, 51819, 50433, 51017, 55808, 62330, 54233, 56542, 50836, 51691, 50846, 53242, 50855, 53094, 51124, 52393, 51294, 52211, 51066, 53112, 51221, 53190, 51162, 51479, 56289, 50818, 51176, 53490, 50305, 74058, 56542, 76414, 50834, 53242, 50834, 51396, 69751, 50873, 52112, 50445, 50872, 69614, 62617, 56542, 50813, 64327, 53242, 58560, 53094, 57824, 53994, 50977, 75366, 53242, 50820, 52061, 50860, 53190, 50878, 52696, 50925, 56331, 51135, 54094, 50884, 51040, 53108, 50309, 51819, 50453, 51691, 50820, 53242, 52579, 57538, 50987, 51691, 50834, 53242, 50834, 51691, 50878, 53242, 50977, 51509, 50821, 54097, 50977, 52696, 50955, 51396, 63593, 56743, 54042, 74494, 76472, 51819, 50457, 51125, 73119, 51691, 50820, 53242, 50820, 50799, 55145, 50808, 52183, 50834, 52183, 50857, 52939, 50862, 53015, 50813, 54133, 53790, 51928, 52990, 50949, 50956, 53265, 50989, 53265, 50415, 53242, 50837, 51641, 75542, 52183, 50829, 53242, 63180, 52183, 50878, 53242, 60872, 52183, 50809, 52939, 50887, 51641, 50803, 53015, 50862, 54133, 65262, 50845, 52112, 50421, 50992, 56990, 51523, 50300, 53770, 56787, 50812, 52183, 50834, 53242, 50820, 52939, 50977, 52183, 51221, 51641, 50803, 53015, 50942, 54133, 50987, 56331, 54912, 51179, 61869, 52183, 50820, 53242, 52417, 51531, 50897, 52183, 50878, 53242, 50897, 51431, 50823, 52117, 50855, 53015, 50810, 51396, 57847, 50892, 52093, 50900, 53108, 50307, 51819, 50433, 50992, 58649, 55306, 55145, 50833, 52183, 50834, 53242, 50820, 53094, 51124, 51531, 51112, 52211, 51066, 52117, 51124, 53112, 51110, 51479, 56289, 50884, 51176, 53490, 50304, 52254, 50441, 52183, 50829, 53242, 53041, 56787, 50938, 52183, 50955, 53242, 50942, 51396, 54265, 58500, 50885, 60057, 58846, 54230, 54017, 50901, 64718, 78069, 51531, 50937, 53094, 50849, 51641, 50860, 54133, 50977, 53015, 51058, 70357, 51463, 54912, 50884, 50956, 53108, 50310, 51819, 50453, 52183, 50820, 53242, 52881, 53942, 50937, 52183, 50810, 53242, 50925, 52939, 50977, 53105, 51100, 52314, 50823, 54133, 50959, 54205, 50942, 51396, 53021, 77997, 73668, 51819, 50457, 50885, 58687, 58451, 50901, 50799, 56542, 50808, 51691, 50820, 72449, 78069, 53242, 50862, 51509, 51045, 52696, 50840, 54097, 53507, 58484, 51928, 50895, 50871, 53265, 50965, 53265, 50416, 75366, 53242, 63180, 51691, 50925, 53242, 58793, 51691, 50855, 53242, 50836, 79430, 54097, 50812, 52696, 50833, 51396, 50892, 52105, 50421, 51017, 55664, 78159, 61544, 53994, 54156, 56380, 50917, 72449, 53242, 50839, 53242, 51100, 51691, 50967, 51509, 50823, 54097, 50977, 52696, 50942, 51068, 54405, 50898, 54212, 70690, 75366, 53242, 60426, 64327, 53242, 50839, 52393, 53911, 53994, 50917, 52061, 50803, 53190, 50833, 52696, 50833, 51396, 69751, 54265, 72969, 53108, 50309, 51819, 50433, 50872, 62258, 70139, 75366, 53242, 56305, 51691, 50890, 53242, 53574, 56542, 50800, 53094, 50943, 52393, 50889, 52211, 51059, 53190, 51141, 53112, 51218, 51479, 56289, 50818, 51176, 52722, 51040, 52722, 50444, 53094, 50890, 51396, 67493, 50901, 52112, 50445, 50872, 69614, 60469, 51988, 53484, 56787, 51175, 51531, 52218, 51463, 51135, 54094, 56883, 52393, 52485, 52183, 50887, 51396, 54042, 57430, 51017, 55664, 62258, 59097, 51691, 64961, 54885, 50862, 50799, 55145, 50987, 64718, 78069, 53242, 50818, 53375, 50839, 52264, 50823, 54097, 50840, 53512, 53243, 51928, 52990, 50949, 50965, 59125, 50876, 59125, 50416, 53242, 55926, 52183, 63222, 53242, 61195, 53375, 50942, 52183, 50917, 52264, 50803, 54097, 50897, 53512, 50897, 52112, 50421, 53242, 50866, 51396, 56566, 59344, 58451, 50905, 50425, 53375, 52524, 56787, 50808, 52183, 50834, 53242, 50820, 53242, 50886, 52264, 50803, 54097, 50855, 53512, 53309, 51463, 54912, 51179, 54660, 52183, 50834, 53242, 60426, 53242, 57066, 52183, 50897, 53242, 51006, 53375, 50987, 52264, 50803, 53512, 50925, 54097, 50942, 51396, 57847, 50845, 52093, 50433, 50992, 58451, 53913, 55145, 50812, 52183, 50820, 53242, 50839, 78069, 53375, 50836, 52264, 50803, 54097, 50855, 53512, 53530, 50898, 56289, 57681, 52183, 50834, 53242, 53044, 56787, 50828, 52183, 50897, 53242, 50897, 53242, 50977, 53375, 50977, 52264, 50803, 54097, 50897, 53512, 50897, 51396, 54265, 58500, 50885, 64232, 58649, 75406, 56787, 59433, 54017, 53794, 52183, 50839, 53242, 50839, 53242, 50937, 53375, 51043, 52264, 50803, 54097, 50833, 53512, 50942, 70357, 51463, 54912, 67940, 64718, 53242, 60233, 52183, 50897, 53242, 57313, 53942, 50901, 52939, 51058, 53105, 51212, 52314, 50803, 54133, 50959, 54205, 50959, 51396, 52839, 77997, 73668, 51819, 50457, 50885, 58687, 57093, 74304, 53242, 50820, 51691, 50855, 50799, 56542, 50812, 75366, 53242, 50839, 79430, 52696, 50836, 54097, 50836, 59640, 51928, 50895, 50871, 53265, 50965, 53265, 50417, 51691, 50834, 53242, 63180, 51691, 50936, 53242, 61195, 51691, 50855, 53242, 50862, 79430, 52696, 50855, 54097, 50810, 51396 ]
[ 0, 250, 15352, 30054, 3495, 8, 11057, 24904, 1011, 625, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 21979, 9590, 6, 23338, 33518, 1264, 6, 8, 29589, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 5663, 741, 1685, 4, 20, 1049, 33215, 16739, 1171, 163, 12361, 6, 163, 428, 406, 6, 12608, 6, 274, 119, 406, 6, 8, 163, 428, 406, 6, 2351, 10, 19448, 8, 8728, 5466, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50460, 51256, 51073, 51674, 51124, 50799, 51408, 50977, 52157, 51310, 50801, 65642, 50416, 51934, 50806, 75508, 54112, 52157, 53199, 51022, 50437, 51547, 51542, 51229, 79218, 51705, 67294, 59280, 50439, 51334, 51333, 52031, 51192, 50446, 51893, 55178, 52157, 63184, 62445, 50452, 51934, 51173, 50457, 52031, 57264, 50801, 61349, 54204, 80171, 65642, 50416, 51256, 51189, 50417, 51674, 51191, 51334, 51191, 50419, 51893, 50914, 75508, 59662, 52157, 50904, 51556, 51022, 50437, 51772, 51362, 50438, 51209, 50807, 51560, 67294, 59280, 50439, 51334, 51013, 50440, 51893, 64127, 52004, 52596, 51560, 63184, 73843, 50452, 52031, 68063, 51893, 50859, 74263, 56451, 80171, 65642, 50415, 51674, 50943, 50417, 51334, 51056, 52031, 51255, 50418, 54503, 51400, 51893, 51400, 75508, 59662, 55366, 50904, 51556, 55707, 51547, 51056, 52419, 66492, 59280, 50439, 51229, 51162, 50440, 51334, 51412, 50441, 52031, 51175, 51955, 73843, 51621, 71206, 51256, 51141, 59670, 51310, 50801, 57546, 50415, 51674, 51294, 50416, 51408, 51191, 51934, 51294, 51544, 55270, 52157, 53887, 51022, 73216, 51772, 51417, 51560, 67294, 57546, 50439, 51209, 51562, 50440, 51334, 51295, 50441, 52031, 51295, 52612, 55814, 51560, 51337, 57452, 50451, 50876, 55890, 78382, 53892, 51197, 51333, 50458, 76497, 50813, 52198, 78245, 56451, 50915, 51846, 52996, 51136, 52011, 51206, 65339, 52387, 51162, 54786, 51056, 50416, 52280, 51110, 50900, 51189, 50956, 51419, 50965, 51091, 50418, 51756, 50873, 52527, 63559, 51522, 51003, 51846, 50886, 51136, 60629, 65239, 50432, 51756, 50823, 76744, 52157, 50915, 51846, 52056, 51317, 52845, 50302, 51542, 50804, 55484, 62884, 52840, 50823, 51040, 61581, 51191, 50446, 52527, 55230, 51560, 50915, 51207, 52056, 51317, 51333, 73727, 50454, 51756, 54647, 63077, 51040, 51731, 50302, 62947, 58839, 52840, 56860, 54547, 56451, 51351, 51846, 52996, 51136, 53126, 50292, 51391, 50900, 55812, 50956, 51661, 50965, 51285, 53636, 50415, 55458, 51274, 54786, 51218, 62395, 51965, 50416, 51756, 51141, 50418, 52527, 51573, 50426, 51930, 50915, 51846, 50886, 51136, 60629, 68333, 68189, 61573, 51197, 72328, 51522, 50915, 51846, 52996, 51136, 52011, 50856, 52597, 50900, 51091, 50446, 55458, 56505, 51493, 50915, 51846, 52996, 50960, 53126, 50308, 71496, 55413, 50453, 52861, 55433, 50965, 50806, 50457, 53037, 60343, 54547, 50461, 51197, 51413, 55970, 50889, 51207, 51074, 51317, 52845, 50305, 51291, 50989, 50384, 54945, 50415, 52280, 51573, 50861, 51274, 50423, 52157, 53803, 51261, 51221, 51207, 51000, 51317, 72900, 65239, 50435, 52157, 55106, 55484, 53269, 51216, 51255, 52028, 52996, 50986, 53126, 50301, 51661, 72660, 51756, 51021, 77025, 51343, 50446, 52840, 51045, 50956, 51204, 50447, 52419, 64913, 50989, 64949, 51216, 51003, 52028, 50886, 50986, 60629, 51373, 51740, 52809, 57634, 50454, 52280, 50921, 50457, 50876, 54943, 51756, 58971, 55921, 50822, 54204, 51255, 51846, 52056, 51317, 52845, 50302, 51241, 58199, 62501, 75712, 50416, 52840, 50950, 51040, 51294, 50423, 52157, 53450, 51261, 51003, 51846, 51000, 51317, 59904, 79492, 50431, 57695, 51941, 52594, 56897, 61573, 59403, 52311, 50438, 51560, 50889, 51207, 52056, 51317, 52845, 50295, 52640, 50305, 60097, 50883, 50956, 56715, 53103, 52861, 51189, 50447, 52157, 55106, 56254, 55814, 51261, 51221, 51207, 51000, 51317, 59904, 51049, 55413, 50451, 52280, 51167, 50455, 51040, 50952, 51197, 52167, 50956, 65022, 50924, 50457, 52840, 51138, 50459, 52157, 55106, 66020, 59670, 50995, 51846, 51074, 51317, 52845, 50302, 50983, 54547, 50415, 51040, 51419, 50871, 51294, 50416, 52861, 55229, 51846, 51000, 51317, 72900, 61354, 50427, 51140, 51253, 50432, 52840, 51010, 68189, 54584, 51705, 50915, 51131, 52996, 51136, 52011, 72660, 51027, 51417, 50956, 51446, 50900, 51397, 50989, 51446, 50877, 51218, 50440, 52527, 65866, 51850, 56604, 52157, 50915, 51846, 51074, 51317, 51333, 57580, 51740, 52955, 52840, 50882, 52198, 55484, 76519, 52527, 50894, 55970, 51112, 51207, 52056, 51317, 51333, 53636, 50417, 51850, 50962, 50421, 51197, 51356, 50422, 52157, 55124, 51140, 51191, 51207, 51000, 51317, 59904, 65239, 50428, 52861, 53275, 50305, 51364, 50433, 50871, 62369, 54547, 50436, 52387, 60364, 51705, 51346, 51207, 51330, 51317, 51330, 50804, 78928, 79807, 50806, 50445, 52280, 69225, 52157, 50874, 50876, 53886, 51098, 51048, 51207, 50904, 51317, 58713, 61354, 50451, 52840, 54712, 51850, 63574, 54547, 56451, 50873, 51846, 52056, 51136, 51333, 55458, 51091, 50900, 51204, 50956, 51294, 50861, 51351, 50906, 51191, 51001, 51134, 54547, 50415, 52387, 69797, 51191, 50417, 51756, 51056, 52527, 51566, 50423, 51522, 55440, 51930, 50981, 51846, 51000, 51136, 59904, 79492, 68189, 52691, 52157, 50915, 51846, 52056, 51317, 51333, 52861, 51215, 53037, 51124, 51040, 57911, 51058, 72660, 52280, 50865, 52840, 52370, 50302, 52415, 50314, 73979, 60844, 50965, 52794, 50445, 52527, 54755, 51560, 50915, 51207, 52996, 51317, 53126, 50295, 51111, 73727, 50451, 55458, 64404, 51121, 50861, 50362, 50842, 50308, 50940, 50452, 52387, 50911, 51756, 50911, 50457, 52840, 57264, 54547, 56451, 51351, 51846, 52996, 51136, 52011, 53636, 50415, 55458, 50807, 62395, 55016, 50312, 70514, 51191, 50956, 50943, 50416, 52387, 52530, 50300, 50943, 50417, 51756, 50981, 50418, 52527, 51312, 50426, 51930, 50915, 51846, 50886, 51136, 60629, 65239, 50435, 58199, 52691, 51705, 50915, 51246, 52996, 51078, 52011, 59403, 50858, 54598, 50897, 72660, 52280, 50858, 51040, 51807, 50298, 51003, 52612, 53567, 51522, 50915, 52028, 52996, 50986, 52011, 55458, 50879, 54598, 50830, 51001, 50977, 50903, 51373, 55413, 50451, 53037, 67970, 50906, 70143, 50989, 56776, 56897, 50822, 65331, 51351, 79208, 51169, 51333, 57695, 58898, 59403, 50983, 53636, 50415, 52861, 52147, 51040, 51115, 51360, 51391, 50416, 51176, 51091, 75712, 50417, 51756, 52263, 50418, 51850, 52296, 50965, 51173, 50425, 51850, 62945, 51522, 50915, 51317, 51000, 51169, 72900, 65239, 76744, 51560, 51056, 51207, 52056, 51317, 64051, 78928, 50439, 51040, 51519, 50295, 51226, 50445, 59403, 51031, 50997, 51192, 50447, 76497, 54385, 51216, 50943, 51207, 51000, 51317, 50844, 52861, 65958, 61354, 50451, 51040, 77462, 52387, 57701, 50956, 72727, 52280, 63574, 54547, 50461, 52840, 50811, 56451, 50905, 51846, 52996, 51136, 53126, 50292, 51218, 53636, 76945, 51446, 50956, 51274, 50965, 51496, 50417, 51850, 77287, 52527, 56667, 51522, 50915, 51846, 50886, 51136, 60629, 68333, 50427, 52527, 61964, 52527, 51735, 68189, 52691, 51560, 50981, 51846, 52011, 51136, 52011, 50856, 57577, 80216, 51021, 50445, 65359, 51286, 50446, 51027, 50806, 50449, 55458, 58111, 51216, 50915, 51846, 50886, 51136, 53330, 55413, 50452, 54598, 54712, 52213, 69866, 51756, 56860, 54547, 50461, 52527, 50962, 54204, 51255, 51846, 52996, 51317, 52011, 54547, 50415, 59403, 51235, 52861, 50991, 50997, 51189, 51040, 51189, 50416, 52840, 51111, 75712, 50906, 50896, 50423, 52157, 53450, 51261, 51003, 51846, 50886, 51317, 60629, 79492, 50431, 51850, 50962, 68189, 52691, 51461, 50915, 50986, 52996, 50929, 52011, 55458, 76553, 51095, 50956, 50978, 72660, 52387, 50955, 52527, 50859, 51756, 50821, 50876, 65022, 53938, 52318, 50915, 51317, 52996, 51169, 52011, 59403, 51021, 73727, 50451, 52861, 50987, 52840 ]
[ 0, 250, 32076, 8, 33558, 3495, 2214, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 182, 1769, 20889, 8, 10, 231, 73, 306, 86, 6543, 6, 24, 18, 278, 11, 5, 762, 9, 381, 3694, 8, 1171, 10, 33215, 13931, 9, 211, 406, 73, 597, 10431, 8, 83, 4, 20, 17627, 17274, 34879, 8, 1313, 23338, 293, 146, 24, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54838, 50640, 54687, 50483, 50848, 50908, 50944, 76780, 50891, 50960, 50908, 51078, 50908, 50947, 50982, 74734, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51177, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 50374, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51203, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 50368, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 69959, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53910, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 51025, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 53196, 69076, 50847, 57955, 50984, 57742, 58570, 50986, 51126, 61486, 75176, 67671, 50998, 53701, 50584, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51177, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 50374, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51043, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 50368, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 61525, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53910, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 51194, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 53196, 69076, 50847, 57955, 50984, 57742, 58570, 50986, 51126, 61486, 75176, 67671, 50998, 53701, 50584, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51177, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51194, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 60705, 50379, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 74816, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53299, 50804, 56076, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 50845, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 53196, 69076, 50847, 57955, 50984, 57742, 58570, 50964, 50810, 50986, 51126, 61486, 75176, 67671, 50998, 54553, 50379, 53323, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51043, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51124, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 60705, 50379, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 69607, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53299, 50804, 56076, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 50977, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 61193, 58644, 67772, 69076, 50847, 57955, 50984, 57742, 58570, 50964, 50878, 50986, 51126, 61486, 75176, 67671, 50998, 54553, 50379, 53323, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 56223, 50887, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51101, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 51659, 50867, 62422, 54474, 50864, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 55754, 52331, 54818, 51350, 50841, 51915, 50890, 63062, 58817, 61204, 77558, 71971, 51069, 51194, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 51223, 50820, 51726, 60354, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 60705, 50379, 53323, 57039, 51482, 50895, 74900, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 69959, 59240, 51482, 50883, 51223, 61585, 50867, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53299, 50804, 56076, 51726, 50809, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 51350, 50835, 51482, 63204, 65453, 57823, 64705, 50864, 51069, 50862, 51069, 50878, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 51915, 50840, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 61193, 52331, 54154, 51350, 65832, 50941, 50847, 57955, 50984, 57742, 58570, 51069, 50878, 50986, 51126, 61486, 75176, 67671, 50998, 54553, 50379, 53323, 56585, 51915, 55310, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 51482, 50818, 51659, 50904, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51194, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 51482, 50884, 51355, 50829, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 53803, 51250, 50834, 51726, 50809, 63062, 58817, 61204, 77558, 71971, 51069, 51255, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 51482, 50895, 51350, 60722, 50941, 63413, 50998, 51126, 50929, 56693, 51915, 60782, 51000, 61773, 63246 ]
[ 0, 250, 765, 53, 20425, 5175, 3836, 37903, 6, 4246, 10, 38668, 9590, 8, 483, 6, 19, 10, 15352, 30054, 8, 11299, 16464, 4, 85, 18, 11, 5, 762, 9, 272, 10431, 3694, 6, 34, 10, 1769, 20889, 9, 23006, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 163, 6, 2060, 119, 6, 12608, 119, 6, 163, 119, 1176, 406, 6, 8, 2060, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 53015, 50803, 53570, 52244, 52751, 52801, 52429, 51973, 53015, 53300, 52751, 52119, 53570, 52674, 55013, 50803, 52429, 52057, 53570, 52284, 55013, 52911, 52429, 53532, 55013, 52163, 53570, 52937, 52429, 50803, 50799, 53015, 50803, 52960, 52244, 52751, 52801, 53185, 51973, 53015, 53300, 52751, 52119, 52960, 52674, 54097, 50803, 53185, 52057, 52960, 52284, 54097, 52911, 53185, 53532, 54097, 52163, 52960, 52937, 53185, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 53134, 50803, 52556, 52057, 55058, 52284, 53134, 52911, 52556, 53532, 53134, 52163, 55058, 52937, 52556, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 54097, 50803, 52556, 52057, 55058, 52284, 54097, 52911, 52556, 53532, 54097, 52163, 55058, 52937, 52556, 50803, 50799, 53015, 50803, 53570, 52244, 52751, 52801, 52429, 51973, 53015, 53300, 52751, 52119, 53570, 52674, 54133, 50803, 52429, 52057, 53570, 52284, 54133, 52911, 52429, 53532, 54133, 52163, 53570, 52937, 52429, 50803, 50799, 53015, 50803, 52960, 52244, 52751, 52801, 53185, 51973, 53015, 53300, 52751, 52119, 52960, 52674, 54133, 50803, 53185, 52057, 52960, 52284, 54133, 52911, 53185, 53532, 54133, 52163, 52960, 52937, 53185, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 53134, 50803, 52556, 52057, 55058, 52284, 53134, 52911, 52556, 53532, 53134, 52163, 55058, 52937, 52556, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 54097, 50803, 52556, 52057, 55058, 52284, 54097, 52911, 52556, 53532, 54097, 52163, 55058, 52937, 52556, 50803, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 19, 10, 11602, 9, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 20535, 2810, 6, 3459, 9590, 6, 8, 81, 9756, 8669, 4, 8504, 11, 5, 762, 9, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 20902, 12701, 4450, 20889, 4, 20, 33215, 16739, 9, 163, 119, 6, 381, 6, 8, 274, 10431, 3639, 7, 63, 17627, 17274, 5466, 6, 442, 24, 10686, 13, 258, 822, 8, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 54140, 52437, 54140, 52565, 54140, 52396, 54140, 50818, 51528, 53338, 50884, 54519, 53420, 64979, 53327, 50870, 51302, 50870, 54321, 53575, 64979, 52594, 52904, 64979, 53012, 53594, 64979, 52612, 50870, 51382, 50870, 53061, 53553, 64979, 52198, 50870, 55669, 50818, 54519, 53420, 64979, 53327, 50863, 51302, 50961, 54321, 53196, 50804, 50837, 52594, 52896, 50804, 50949, 53012, 53114, 50804, 50825, 52612, 79926, 50817, 53061, 53137, 50804, 50829, 52198, 50829, 50799, 52060, 50817, 54519, 54183, 50804, 50928, 53327, 50928, 51302, 50928, 54321, 53962, 50804, 50928, 52594, 54114, 51553, 50817, 53012, 50928, 54141, 50928, 52612, 50928, 51382, 50928, 53061, 54059, 50804, 50928, 52198, 50928, 50799, 52060, 50817, 54519, 54183, 50804, 50928, 53327, 53098, 51553, 50817, 54321, 53962, 50804, 50928, 52594, 54114, 51456, 50817, 53012, 50928, 54141, 50928, 52612, 50928, 51382, 50928, 53061, 54059, 50804, 50928, 52198, 50928, 50799, 51553, 50817, 54519, 54183, 50804, 56016, 52060, 52630, 51553, 50817, 54321, 53962, 51553, 50817, 52594, 54114, 51553, 50817, 53012, 50928, 54141, 63078, 52060, 52568, 51553, 50817, 53061, 54059, 51553, 50817, 52198, 50928, 50799, 52060, 50817, 54519, 54183, 50804, 50928, 53327, 53098, 51553, 50817, 54321, 53962, 50804, 50928, 52594, 54114, 51456, 50817, 53012, 50928, 54141, 50928, 52612, 50928, 51382, 50928, 53061, 54059, 50804, 50928, 52198, 50928, 51528, 56315, 50817, 54519, 53420, 64979, 53327, 50870, 52389, 53338, 50870, 54321, 53575, 64979, 52594, 50870, 51450, 53338, 50870, 53012, 53594, 64979, 52612, 53003, 58995, 50863, 53061, 53007, 50804, 50835, 52198, 50829, 51528, 56315, 50817, 54519, 53420, 64979, 53327, 50870, 52389, 53338, 50870, 54321, 53575, 64979, 52594, 50870, 51450, 53338, 50870, 53012, 53325, 50804, 50837, 52612, 52772, 58995, 50829, 53061, 52920, 50804, 50820, 52198, 50841, 51528, 56315, 50817, 54519, 53405, 50804, 50837, 53327, 50835, 52389, 53338, 50829, 54321, 53063, 50804, 50820, 52594, 50841, 51450, 56315, 50817, 53012, 53325, 50804, 50837, 52612, 52772, 58995, 50829, 53061, 52920, 50804, 50820, 52198, 50841, 51528, 56315, 50884, 54519, 53070, 50804, 50829, 53327, 50820, 52389, 56315, 50817, 54321, 52767, 50804, 50829, 52594, 52600, 50804, 52885, 52220, 50895, 52129, 51463, 52885, 52568, 53431, 52885, 52193, 53431, 67958, 70619, 50952, 51099, 50955, 51429, 50955, 51489, 50955, 64434, 51761, 52851, 51761, 58960, 56561, 54892, 51860, 50879, 51099, 50971, 51429, 50904, 51489, 53803, 53621, 51111, 51099, 50886, 51429, 50855, 51489, 53630, 53893, 53671, 52209, 52607, 51124, 73778, 51429, 50855, 51489, 50813, 52851, 51033, 51888, 64543, 78892, 51429, 50820, 51489, 52923, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 51489, 50862, 52851, 51033, 51888, 51033, 50447, 53204, 55268, 55213, 50887, 73778, 51429, 50840, 51489, 50813, 52719, 51033, 51648, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 78892, 51429, 50855, 51489, 50862, 54961, 51033, 52425, 51033, 70619, 50952, 73778, 51429, 50836, 70815, 56844, 51761, 52310, 51761, 58960, 52586, 54031, 51860, 50879, 51099, 50867, 51429, 50862, 51489, 53901, 53621, 51111, 51099, 50867, 51429, 50855, 51489, 52972, 53893, 53732, 52209, 52607, 51124, 78892, 51429, 50855, 70815, 56844, 51033, 52310, 64543, 51099, 50844, 76022, 51489, 51747, 53850, 52586, 53239, 55213, 50887, 78892, 51429, 50813, 71008, 56844, 51033, 52310, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50855, 51489, 50812, 55912, 51033, 51913, 51033, 59938, 53333, 56883, 51875, 55433, 51598, 50978, 73778, 51429, 50855, 51489, 50862, 55282, 51033, 51963, 62567, 50846, 70619, 50952, 51099, 50844, 51429, 50925, 51489, 50897, 64434, 51761, 52851, 51761, 58960, 52586, 54892, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 53450, 53621, 51111, 51099, 50867, 51429, 50813, 51489, 53197, 53893, 53671, 52209, 52607, 51124, 80062, 51429, 50808, 51489, 50897, 59559, 51033, 52719, 64543, 51099, 50864, 51429, 50864, 51489, 52784, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 70815, 50712, 50291, 51033, 56844, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50836, 70815, 59559, 51033, 52719, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 73778, 51429, 50862, 71008, 57273, 51033, 52970, 51033, 70619, 50952, 80062, 51429, 50812, 51489, 50812, 64434, 51795, 52851, 51795, 58960, 52586, 54031, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 52654, 53621, 51111, 78892, 51429, 50855, 51489, 53351, 53893, 53732, 52209, 52607, 51124, 73778, 51429, 50836, 51489, 52781, 78892, 51429, 50836, 51489, 53632, 53850, 52586, 53239, 55213, 50887, 51099, 50867, 51429, 50862, 51489, 54803, 53204, 55268, 55213, 50887, 78892, 51429, 50855, 51489, 53590, 53850, 53333, 56883, 51875, 55433, 51598, 50978, 73778, 51429, 50855, 51489, 53497, 50846, 70619, 50952, 51099, 50955, 51429, 50955, 51489, 50955, 52851, 51761, 64434, 51761, 58960, 56561, 54892, 51860, 50879, 51099, 50971, 51429, 50904, 51489, 53803, 53621, 51111, 51099, 50886, 51429, 50855, 51489, 53630, 53893, 53671, 52209, 52607, 51124, 73778, 51429, 50855, 51489, 50813, 52851, 51033, 51888, 64543, 78892, 51429, 50820, 51489, 52923, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 51489, 50862, 52851, 51033, 51888, 51033, 50447, 53204, 55268, 55213, 50887, 73778, 51429, 50840, 51489, 50813, 52719, 51033, 51648, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 78892, 51429, 50855, 51489, 50862, 54961, 51033, 52425, 51033, 70619, 50952, 73778, 51429, 50836, 70815, 56844, 51761, 52310, 51761, 58960, 52586, 54031, 51860, 50879, 51099, 50867, 51429, 50862, 51489, 53901, 53621, 51111, 51099, 50867, 51429, 50855, 51489, 52972, 53893, 53732, 52209, 52607, 51124, 78892, 51429, 50855, 51489, 60673, 56844, 51033, 52310, 64543, 51099, 50844, 76022, 51489, 51747, 53850, 52586, 53239, 55213, 50887, 78892, 51429, 50813, 71008, 56844, 51033, 52310, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50855, 51489, 50812, 55912, 51033, 51913, 51033, 59938, 53333, 56883, 51875, 55433, 51598, 50978, 73778, 51429, 50855, 51489, 50862, 55282, 51033, 51963, 62567, 50825, 70619, 50952, 51099, 50844, 51429, 50925, 51489, 50897, 64434, 51761, 52851, 51761, 58960, 52586, 54892, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 53450, 53621, 51111, 51099, 50867, 51429, 50813, 51489, 53197, 53893, 53671, 52209, 52607, 51124, 80062, 51429, 50808, 51489, 50897, 59559, 51033, 52719, 64543, 51099, 50864, 51429, 50864, 51489, 52784, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 70815, 50712, 50291, 51033, 56844, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50836, 70815, 59559, 51033, 52719, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 73778, 51429, 50862, 71008, 57273, 51033, 52970, 51033, 70619, 50952, 80062, 51429, 50812, 51489, 50812, 64434, 51795, 52851, 51795, 50804, 50837, 54519, 52432, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 53119, 50895, 53327, 53855, 53621, 51111, 78892, 51429, 50855, 51489, 50380, 54936, 50817, 54321, 52818, 52607, 51124, 73778, 51429, 50836, 51489, 53352, 54248, 52060, 52676, 78892, 51429, 50836, 51489, 54172, 50835, 53012, 53239, 55213 ]
[ 0, 250, 15352, 30054, 8, 14899, 3152, 8, 3495, 2214, 4246, 10, 3152, 6757, 6, 13305, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 33215, 16739, 9, 211, 6, 230, 6, 381, 406, 6, 272, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50791, 71523, 50817, 51570, 52568, 51860, 53960, 60103, 52193, 51598, 51014, 51224, 50817, 68924, 58249, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 51553, 52193, 51598, 51033, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 70312, 50853, 50589, 51820, 50798, 52568, 51860, 51012, 51553, 52193, 51598, 50911, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 51553, 52193, 51598, 51030, 51224, 50817, 68924, 61025, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 52491, 50812, 52491, 52972, 52568, 51860, 51138, 51979, 50812, 51979, 72343, 52193, 51598, 50921, 52656, 50828, 52656, 50828, 52172, 50914, 52172, 77656, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 52608, 50846, 52608, 50846, 52491, 50805, 52491, 50805, 51553, 52193, 51598, 50952, 52394, 50808, 52394, 61775, 50817, 68924, 51013, 52228, 50805, 52228, 51654, 52302, 52394, 50910, 52394, 50910, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51724, 51818, 50937, 56461, 50917, 52129, 52568, 51598, 51379, 51457, 50892, 54310, 50892, 51553, 52193, 51224, 50817, 58675, 51016, 51327, 51662, 53171, 51662, 50798, 52302, 50903, 52630, 53880, 50845, 53880, 54371, 55232, 51632, 76727, 50853, 50589, 51724, 52394, 50805, 52394, 52815, 52228, 51111, 52228, 65764, 52568, 51632, 68915, 52193, 51598, 50830, 52228, 50889, 52228, 50889, 51224, 50817, 68924, 54214, 52302, 52491, 50808, 52491, 67893, 78212, 55232, 51875, 73088, 50853, 50589, 51820, 52491, 50808, 52491, 51747, 52568, 51860, 51012, 51979, 50808, 51979, 52476, 50579, 52193, 51598, 51033, 52656, 50818, 52656, 50818, 52172, 51189, 52172, 51189, 51224, 50817, 68924, 58249, 52302, 50903, 78212, 55232, 51875, 73088, 50853, 50589, 51724, 52608, 50846, 52608, 50846, 52491, 50865, 52491, 55700, 52491, 50865, 52491, 54070, 52568, 51860, 51021, 52228, 50795, 52228, 50795, 51553, 52193, 51598, 50940, 52394, 50800, 52394, 56234, 50817, 68924, 51013, 53580, 50846, 53580, 50846, 52228, 50805, 52228, 51654, 52302, 52394, 50938, 52394, 50938, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51724, 51818, 50822, 56461, 50833, 52129, 52568, 51598, 51460, 51457, 50844, 54310, 55095, 50579, 52193, 51224, 50817, 58675, 51090, 51327, 52431, 53171, 52140, 50798, 52302, 50903, 78212, 55232, 51632, 51573, 53880, 50800, 53880, 51730, 50853, 50589, 51724, 52394, 50830, 52394, 54630, 52228, 50795, 52228, 51428, 52568, 51632, 52476, 50579, 52193, 51598, 50897, 52491, 50967, 52491, 50967, 51224, 50817, 68924, 57825, 52302, 51979, 51060, 51979, 51060, 50903, 78212, 55232, 51875, 51745, 52656, 50818, 52656, 50818, 52172, 50795, 52172, 51428, 50853, 50589, 51820, 52656, 50809, 52656, 50809, 52172, 51048, 52172, 56902, 52568, 51598, 51167, 51553, 52193, 51979, 50983, 51979, 50983, 51224, 50817, 64699, 50923, 53422, 76528, 51020, 68129, 50930, 51403, 53988, 55232, 52241, 51552, 51320, 52958, 53319, 50818, 53319, 50818, 52380, 50795, 53625, 51370, 52267, 51020, 66146, 50880, 51403, 50809, 53319, 50830, 52833, 50830, 52777, 53166, 52241, 51215, 52172, 50795, 52380, 50795, 51320, 52193, 53319, 50800, 52833, 51730, 64128, 68924, 50893, 52436, 50818, 53979, 50818, 53319, 51112, 52833, 51112, 53422, 76528, 65032, 51023, 72738, 50812, 52172, 51060, 52380, 58804, 55232, 51875, 51454, 51320, 52958, 52491, 50938, 52491, 56022, 52267, 51785, 50911, 65032, 51023, 74718, 50840, 51978, 50938, 51978, 50938, 52777, 53166, 51875, 51192, 51320, 52193, 51785, 50923, 51979, 51141, 51979, 57394, 55498, 64699, 50923, 53422, 76528, 51089, 74158, 50880, 51092, 51907, 55232, 52241, 51745, 51979, 50910, 51979, 50910, 51320, 52958, 53319, 50818, 53319, 50818, 52380, 50806, 53625, 51575, 52267, 51089, 62905, 72738, 50840, 53319, 50938, 52833, 50938, 52777, 53166, 52241, 50894, 52172, 50938, 52380, 50938, 51320, 52193, 53204, 50905, 53319, 50840, 52833, 52411, 64128, 68924, 51192, 52436, 50846, 53979, 50846, 53319, 50980, 52833, 50980, 53422, 76528, 51089, 59869, 50880, 51092, 50800, 52172, 51060, 52380, 58804, 55232, 51875, 53238, 51463, 52771, 50908, 52594, 55536, 52958, 51875, 50894, 51410, 50882, 51303, 50894, 51249, 50962, 65032, 51023, 74718, 50808, 52172, 50795, 52380, 51428, 51463, 59252, 51598, 51160, 51410, 51014, 51231, 51021, 51672, 51505, 51083, 51221, 51020, 51238, 51208, 50991, 53319, 51060, 53319, 51060, 53431, 71845, 53166, 51320, 52193, 51632, 56073, 51303, 52311, 51249, 51407, 51327, 52311, 51118, 51036, 51061, 51655, 51023, 51264, 54609, 51359, 54609, 51359, 52949, 52382, 52949, 52382, 52172, 51358, 52380, 64253, 51759, 67958, 51528, 67958, 51544, 52676, 51476, 51003, 51303, 51055, 51249, 51016, 52172, 51048, 52172, 63112, 51410, 51172, 51231, 51460, 51672, 51054, 53319, 50807, 53319, 52959, 50817, 70619, 51655, 51465, 51109, 51231, 51160, 51327, 50889, 55209, 52062, 55209, 52062, 53455, 51449, 53455, 51449, 52380, 50807, 52380, 52910, 51465, 51480, 51231, 51073, 51672, 51090, 53319, 50807, 53319, 52959, 52676, 51476, 51627, 51303, 51013, 51249, 51013, 52172, 51048, 52172, 63112, 51465, 51227, 51231, 51215, 51979, 51048, 51979, 63677, 50817, 61697, 51145, 51303, 51562, 51249, 50918, 51327, 51077, 55017, 51127, 55017, 51127, 54609, 51244, 54609, 51244, 52172, 50918, 52380, 50918, 50856, 52676, 51860, 52919, 51465, 53380, 51249, 53651, 52109, 55362, 55209, 52382, 55209, 52382, 63090, 53363, 63090, 53363, 52172, 53380, 53979, 53380, 50856, 50817, 76501, 51860, 55020, 54085, 51224, 52193, 51598, 50923, 51289, 50817, 68924, 66196, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 51553, 52193, 51598, 51033, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 70312, 50853, 50589, 51820, 50798, 52568, 51860, 51012, 51553, 52193, 51598, 50911, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 51021, 51553, 52193, 51598, 51030, 51224, 50817, 68924, 61025, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 52491, 54070, 52568, 51860, 51138, 51979, 50830, 51553, 52193, 51598, 50921, 52172, 50983, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 52608, 50846, 52608, 50846, 52491, 50805, 52491, 50795, 51553, 52193, 51598, 50952, 52394, 50808, 52394, 56234, 50817, 68924, 51013, 52228, 50805, 52228, 51428, 52302, 52394, 50800, 52394, 50910, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51724, 51818, 50937, 56461, 50917, 52129, 52568, 51598, 51379, 51457, 50892, 54310, 50892, 51553, 52193, 51224, 50817, 58675, 51016, 51327, 51662, 53171, 51662, 50798, 52302, 50903, 52630, 53880, 50800, 53880, 54371, 55232, 51632, 51573, 53880, 53071, 50853, 50589, 51724, 52394, 50830, 52394, 52815, 52228, 51111, 52228, 59407, 52568, 51632, 50921, 51553, 52193, 51598, 50830, 52228, 51048, 52228, 50889, 51224, 50817, 68924, 59387, 52302, 52491, 50808, 52491, 51060, 50903, 78212, 55232, 51875, 73088, 50853, 50589, 51820, 52491, 50808, 52491, 54070, 52568, 51860, 51012 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 11, 274, 538, 6, 4246, 10, 20902, 11739, 9, 11006, 4122, 12, 1054, 330, 13305, 6, 1675, 13305, 6, 2020, 3548, 6, 17605, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 7630, 6568, 6453, 9, 11098, 6, 657, 6, 8, 5, 12298, 4780, 9, 1619, 4, 20, 33215, 16739, 1171, 163, 428, 401, 6, 163, 43531, 401, 6, 274, 12361, 6, 8, 211, 119, 406, 6, 1271, 7, 5, 2214, 18, 17627, 17274, 8, 1313, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50446, 50640, 50796, 50451, 52449, 50911, 52889, 50805, 50460, 53395, 50844, 52889, 50912, 51809, 52449, 51173, 52889, 51121, 50424, 52495, 51196, 52681, 51103, 50451, 52239, 51505, 52681, 51158, 51601, 52681, 51215, 52449, 51194, 50425, 52681, 50948, 52449, 72426, 52449, 51585, 52889, 51486, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52062, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 55338, 51961, 53937, 51199, 52162, 50932, 52131, 51542, 50428, 52449, 50923, 52889, 50795, 55481, 52101, 50438, 54380, 51535, 73918, 51869, 51749, 50439, 52449, 51274, 52889, 51189, 50446, 51706, 51490, 51955, 65787, 51198, 51448, 55338, 51376, 53937, 51074, 52162, 73752, 51144, 51097, 51099, 50981, 50459, 53395, 50912, 52889, 51269, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 51680, 50415, 52449, 51167, 52889, 51110, 50424, 52269, 50893, 52889, 50873, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 55338, 51481, 53937, 51806, 55481, 52101, 50435, 52681, 51933, 52449, 51692, 50438, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 50933, 51955, 65787, 51198, 51312, 51099, 52056, 53937, 51328, 55338, 51328, 50454, 51144, 72464, 50799, 54380, 51627, 50801, 68417, 51876, 51749, 59235, 52069, 50422, 53476, 52059, 51768, 65787, 51280, 53674, 51561, 51283, 51144, 51965, 51119, 51637, 52344, 50874, 53167, 50955, 50427, 52269, 50806, 53282, 50849, 55481, 52101, 53476, 51884, 52344, 51797, 53167, 51642, 50438, 54747, 51535, 73918, 51708, 51749, 50439, 52269, 51496, 53282, 51141, 50446, 51280, 51490, 51955, 65787, 51561, 51448, 53476, 50959, 52344, 51006, 53167, 70634, 51144, 51097, 51119, 50981, 50459, 53388, 50874, 53282, 50984, 50799, 54380, 73138, 68417, 51876, 52407, 59235, 51680, 50415, 52269, 51286, 53282, 51111, 50422, 53476, 55778, 50423, 52681, 50893, 53282, 50873, 51768, 65787, 51280, 53674, 51561, 51283, 51144, 52136, 51119, 51283, 52344, 50912, 53167, 50978, 55481, 52101, 53476, 51852, 52344, 52378, 53167, 51199, 50435, 52248, 51933, 53282, 51692, 50438, 54747, 51351, 73918, 51708, 51477, 50446, 51280, 56374, 59235, 51123, 51955, 65787, 51561, 51312, 51119, 52056, 53476, 50892, 52344, 51058, 50454, 51144, 72464, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52015, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 55338, 50984, 53937, 51051, 52162, 50955, 50427, 52681, 50893, 52449, 50873, 55481, 52101, 55338, 51481, 53937, 51481, 52162, 51337, 50438, 54380, 51535, 73918, 51869, 51749, 50439, 52681, 51496, 52449, 51141, 50446, 51706, 51490, 73541, 52059, 51955, 65787, 51198, 51448, 55338, 51753, 53937, 51277, 52162, 51233, 50457, 52248, 50854, 52449, 65241, 51144, 51097, 51099, 50981, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 52783, 50415, 52681, 51379, 52449, 51095, 50424, 52239, 50795, 52681, 50845, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 55338, 50864, 53937, 50864, 52162, 50955, 55481, 52101, 55338, 51470, 53937, 51174, 52162, 60234, 52495, 51016, 52681, 56389, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 50870, 51955, 65787, 51198, 51312, 51099, 52056, 55338, 51074, 53937, 51074, 52162, 51242, 50451, 52449, 50806, 52889, 50849, 50454, 51144, 72464, 50459, 53395, 50955, 52889, 51142, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52069, 50416, 52449, 51021, 52889, 69904, 55338, 52059, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 53937, 50874, 52162, 50955, 50427, 52495, 51196, 52681, 51103, 55481, 52101, 55338, 51884, 53937, 51797, 52162, 51642, 50438, 54380, 51535, 73918, 51869, 51749, 50446, 51706, 51490, 51955, 65787, 51198, 51448, 55338, 50959, 53937, 51006, 52162, 71474, 52239, 51158, 52681, 51177, 50458, 51144, 51097, 51099, 50981, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 51680, 50415, 52681, 51158, 52449, 51177, 50422, 55338, 55778, 50424, 52681, 50921, 52449, 50897, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 53937, 50912, 52162, 50978, 55481, 52101, 55338, 51852, 53937, 52378, 52162, 51199, 50435, 52449, 52266, 52889, 51538, 50438, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 51123, 51955, 65787, 51198, 51312, 51099, 52056, 55338, 50892, 53937, 51058, 50454, 51144, 72464, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52069, 50422, 55338, 52059, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 53937, 50874, 52162, 50955, 50427, 52449, 50911, 52889, 50805, 55481, 52101, 55338, 51884, 53937, 51797, 52162, 51642, 50438, 54380, 51535, 73918, 51869, 51749, 50439, 52449, 51343, 52889, 51218, 50446, 51706, 51490, 51955, 65787, 51198, 51448, 55338, 50959, 53937, 51006, 52162, 70634, 51144, 51097, 51099, 50981, 50459, 53395, 50942, 52889, 50933, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 51680, 50415, 52449, 51167, 52889, 51110, 50422, 55338, 55778, 50424, 52269, 50893, 52889, 50873, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 53937, 50912, 52162, 50978, 55481, 52101, 55338, 51852, 53937, 52378, 52162, 51199, 50435, 52681, 51336, 52449, 64164, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 51123, 51955, 65787, 51198, 51312, 51099, 52056, 55338, 50892, 53937, 51058, 50454, 51144, 72464, 50799, 54380, 51627, 50801, 68417, 51876, 51703, 59235, 51714, 50415, 52269, 50805, 53282, 50892, 51768, 65787, 51280, 52256, 51561, 51477, 51119, 51283, 53476, 51542, 52344, 51961, 53167, 51391, 50427, 52269, 51551, 53282, 51077, 55481, 52101, 50438, 54747, 51535, 73918, 51708, 65825, 50446, 51280, 51080, 51955, 65787, 51561, 51535, 53476, 51210, 52344, 51000, 53167, 50987, 50451, 53282, 51735, 53652, 51073, 50458, 51144, 51333, 51119, 50932, 50799, 54380, 73138, 68417, 51876, 54532, 59235, 52168, 50415, 52449, 51196, 52889, 51103, 51768, 65787, 51280, 52441, 51561, 51310, 51119, 51965, 53476, 51199, 52344, 55197, 53167, 50915, 55481, 52101, 50438, 54747, 51351, 73918, 51708, 51477, 50439, 52269, 51274, 53282, 51189, 50446, 59235, 51210, 51955, 65787, 51280, 51484, 51561, 51576, 51119, 56615, 53476, 51074, 52344, 50933, 53167, 56517, 52681, 51655, 52449, 51353, 50799, 55617, 51627, 50801, 68417, 53038, 52783, 73541, 52062, 51768, 65787, 51706, 52441, 51198, 51542, 51099, 51283, 55338, 51961, 53937, 51199, 52162, 50932, 52131, 51542, 55481, 52101, 50438, 54380, 51535, 73918, 51869, 52441, 50446, 53673, 51706, 53838, 51955, 61382, 51198, 51233, 51144, 51328, 55338, 51376, 53937, 51074, 52162, 73752, 53673, 50799, 55617, 51749, 50801, 68417, 53038, 51749, 73541, 52015, 50424, 52681, 51541, 52449, 51204, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 55338, 50984, 53937, 51051, 52162, 50955, 55481, 52101, 55338, 51481, 53937, 51481, 52162, 51337, 50438, 54380, 51448, 73918, 51869, 51749, 50439, 52269, 51238, 52889, 51255, 50446, 51892, 51706, 52256, 73541, 52059, 51955, 53832, 65787, 51198, 50981, 55338, 51753, 53937, 51277, 52162, 51233, 50451, 52449, 51379, 52889, 51095, 54124, 70723, 50822, 51144, 51008, 51099, 50955, 51755, 68417, 50415, 52239, 50795, 52681, 50845, 53282, 50806, 53139, 50849, 50424, 52239, 50830 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 11926, 10686, 13, 822, 6, 19, 10, 33215, 16739, 9, 3676, 6, 272, 6, 230, 6, 230, 119, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 55524, 51095, 51085, 51204, 63686, 51095, 50429, 75975, 51120, 51204, 50437, 50900, 63883, 51315, 51204, 50459, 50968, 51095, 50900, 51204, 53069, 50968, 60853, 50968, 51095, 53523, 51204, 78313, 58877, 50968, 51095, 50441, 50968, 51095, 50900, 51204, 50445, 50968, 50910, 50449, 50968, 51157, 72407, 51204, 50460, 50900, 50910, 51809, 50968, 51095, 50423, 50916, 51095, 51085, 51204, 51153, 51379, 50431, 50900, 51095, 51153, 51379, 57019, 51095, 51120, 51204, 51153, 51033, 50442, 51153, 51033, 68121, 51077, 51153, 51033, 50449, 51308, 51033, 50453, 51315, 51204, 51153, 51033, 50457, 51516, 51566, 52591, 50968, 51095, 50900, 51204, 51516, 52017, 50428, 50968, 50910, 50431, 50968, 51095, 50435, 50900, 51204, 50439, 50900, 50910, 50443, 50968, 64949, 50968, 51095, 50900, 51204, 50454, 50968, 62990, 50968, 51157, 52177, 50900, 51204, 50421, 50900, 50910, 50425, 50968, 51095, 63174, 51095, 51050, 51204, 51489, 51033, 50436, 51275, 51033, 50440, 50900, 51095, 51153, 51379, 78202, 51095, 51378, 51204, 51275, 51033, 50451, 51275, 51033, 50455, 50900, 51095, 51275, 51541, 57844, 51095, 51026, 51204, 63686, 51095, 51153, 51033, 50425, 51435, 51566, 78740, 51095, 51176, 51204, 50437, 50900, 51095, 51516, 51033, 50440, 51489, 51566, 75795, 51095, 51027, 51204, 50452, 80033, 50455, 80033, 50459, 51027, 51204, 51601, 50900, 50910, 50419, 80033, 56546, 51095, 51176, 51204, 65281, 50910, 74206, 51095, 50441, 51027, 51204, 50445, 50900, 50910, 50449, 50876, 62805, 80033, 51026, 51204, 51275, 51566, 51809, 50900, 51095, 50419, 51489, 51566, 72784, 51095, 51378, 51204, 50431, 50900, 51095, 51153, 52017, 60496, 51095, 51050, 51204, 68121, 50910, 71091, 50449, 50900, 51095, 75640, 50453, 51050, 51204, 50457, 50900, 78123, 75640, 52591, 50965, 51095, 51050, 51204, 50428, 50900, 50910, 50965, 50910, 50431, 50900, 51095, 50965, 51095, 50435, 51050, 51204, 50439, 50900, 50910, 50443, 50965, 51095, 56222, 51095, 51315, 51204, 51153, 51379, 50458, 50900, 50910, 66088, 51153, 51379, 50461, 50900, 51095, 72362, 52177, 51315, 51204, 51153, 51566, 50421, 50900, 50910, 50425, 72362, 50428, 51275, 62019, 50989, 51095, 51120, 51204, 51489, 51379, 50440, 50900, 50910, 50989, 50910, 51275, 51033, 50443, 63365, 50989, 51157, 50447, 51120, 51204, 51153, 51033, 50451, 51119, 51379, 50455, 50900, 62990, 50989, 50910, 51275, 51566, 54578, 51095, 51026, 51204, 63686, 50910, 75975, 51153, 51379, 50425, 50900, 51095, 75975, 50429, 51026, 51204, 51489, 51033, 50433, 50900, 50910, 51275, 51379, 50437, 75975, 50440, 51153, 52266, 65827, 51095, 51085, 51204, 50452, 51026, 50910, 50900, 50910, 80143, 50455, 51026, 51095, 50900, 51095, 50916, 51095, 50459, 51085, 51204, 51601, 51026, 50910, 50900, 50910, 50419, 50900, 51095, 50916, 51095, 56207, 51095, 51050, 51204, 69374, 51095, 50441, 72362, 51315, 51204, 50449, 50900, 62805, 50989, 51095, 51120, 51204, 51809, 50900, 50910, 50989, 50910, 50419, 50900, 51095, 50989, 51095, 50423, 51120, 51204, 77095, 50910, 50431, 50989, 51095, 57019, 51095, 51026, 51204, 68121, 50910, 67559, 50449, 50900, 51095, 75975, 50453, 51026, 51204, 50457, 50900, 78123, 75975, 52591, 50916, 51095, 51085, 51204, 50428, 51026, 50910, 50900, 50910, 50431, 50900, 51095, 50916, 51095, 50435, 51085, 51204, 50439, 51026, 50910, 50900, 50910, 50443, 50900, 51095, 50916, 51095, 59758, 51095, 51085, 51204, 51153, 51379, 50458, 50900, 51095, 51153, 51379, 52177, 75975, 51120, 51204, 51153, 51033, 50421, 51153, 51033, 50425, 50900, 51077, 51153, 51033, 50428, 51308, 62019, 51315, 51204, 51153, 51033, 50436, 51516, 51566, 50447, 50968, 51095, 50900, 51204, 51516, 52017, 50455, 50968, 62990, 50968, 51095, 53975, 51204, 79251, 60853, 50968, 51095, 50429, 50968, 51095, 50900, 51204, 50433, 50968, 79178, 50968, 51157, 55513, 51204, 50448, 50900, 50910, 50452, 50968, 51095, 50459, 75640, 51050, 51204, 51489, 51033, 51601, 51275, 51033, 50419, 50900, 51095, 51153, 51379, 56546, 51095, 51378, 51204, 51275, 51033, 50430, 51275, 51033, 69374, 51095, 51275, 51541, 50441, 50973, 51095, 51026, 51204, 50449, 50900, 51095, 51153, 51033, 50452, 51435, 51566, 50456, 50902, 51095, 51176, 51204, 51809, 50900, 51095, 51516, 51033, 50419, 51489, 51566, 72784, 51095, 51027, 51204, 50431, 80033, 65281, 51095, 63809, 51204, 77025, 64482, 80033, 50453, 80033, 51176, 51204, 50461, 67594, 51809, 80033, 56945, 51204, 50424, 50900, 50910, 50428, 80033, 50435, 80033, 51026, 51204, 51275, 51566, 50443, 50900, 72930, 51489, 51566, 50450, 80033, 51378, 51204, 50458, 50900, 51095, 51153, 52017, 52177, 75640, 51050, 51204, 50425, 50900, 50910, 71091, 50428, 50900, 51095, 50877, 69400, 51050, 51204, 50436, 50900, 50910, 50440, 75640, 50447, 50965, 51095, 51050, 51204, 50455, 50900, 50910, 50965, 62990, 50900, 51095, 50965, 51095, 54197, 51204, 79251, 60853, 50965, 51095, 50429, 72362, 51315, 51204, 51153, 51379, 50437, 50900, 50910, 66088, 51153, 51379, 50440, 50900, 51095, 72362, 50444, 51315, 51204, 51153, 51566, 50448, 50900, 50910, 50452, 72362, 50455, 51275, 78030, 50989, 51095, 51120, 51204, 51489, 51379, 53069, 50900, 50910, 50989, 50910, 51275, 51033, 50422, 63365, 50989, 72265, 51120, 51204, 51153, 51033, 50430, 51119, 51379, 69374, 79178, 50989, 50910, 51275, 51566, 50441, 75975, 51026, 51204, 50449, 75975, 51153, 51379, 50452, 50871, 62805, 51026, 51204, 51489, 51033, 50460, 50900, 50910, 51275, 51033, 51809, 75975, 51119, 51379, 50423, 50916, 51095, 51120, 51204, 51153, 52282, 50431, 51026, 50910, 50900, 50910, 50916, 58877, 51026, 51095, 50900, 51095, 50916, 51095, 66240, 51204, 50442, 51026, 50910, 50900, 64482, 50900, 51095, 50916, 51095, 50453, 50902, 51095, 50997, 51204, 51435, 51551, 50461, 50900, 51095, 52591, 80033, 51027, 51204, 50428, 50900, 51095, 51153, 52282, 50435, 50906, 51095, 51026, 51204, 50443, 50900, 51095, 60027, 51095, 51050, 51204, 50458, 50900, 51095, 51153, 52017, 52177, 72362, 51197, 51204, 50425, 50900, 50910, 66088, 50428, 50900, 51095, 50861, 69400, 51197, 51204, 50436, 50900, 50910, 50440, 72362, 50447, 75640, 51050, 51204, 50455, 50900, 50910, 50877, 62990, 50900, 51095, 75640, 54197, 51204, 79251, 60853, 75640, 78740, 51095, 50997, 51204, 51435, 51551, 50437, 50900, 75658, 80033, 51027, 51204, 50452, 50900, 51095, 51153, 52282, 50459, 50906, 51095, 51026, 51204, 53069, 50900, 51095, 56207, 51095, 51050, 51204, 69374, 51095, 51153, 52266, 50441, 72362, 51197, 51204, 50449, 50900, 50910, 66088, 50452, 50900, 51095, 50861, 62805, 51197, 51204, 50460, 50900, 50910, 51809, 72362, 50423, 50989, 51095, 51120, 51204, 50431, 50900, 50910, 50989, 58877, 50900, 51095, 50989, 51095, 51837, 51379, 66240, 51204, 77025, 50910, 51948, 51033, 50446, 50989, 51095, 51516, 51033, 50449, 51948, 51566, 50453, 75975, 51026, 51204, 50461, 50900, 50910, 67559, 67944, 51516, 51033, 51809, 50900, 51095, 75975, 50906, 51095, 51516, 51033, 56978, 51204, 51435, 51379, 50424, 50900, 50910, 50428, 75975, 50906, 51095, 51639, 51033, 50431, 51308, 51566, 50435, 50916, 51095, 51085, 51204, 50443, 50900, 51095, 51153, 52266, 56415, 51095, 51120, 51204, 50458, 50900, 51095, 52177, 50900, 51095, 72362, 51315, 51204, 50425, 50900, 51095, 50861, 69400, 50968, 51095, 50900, 51204, 50440, 50900 ]
[ 0, 713, 8787, 5175, 15229, 1931, 21683, 10, 15352, 30054, 8, 19448, 13569, 9862, 6, 19, 10, 2842, 9, 1619, 9450, 4, 16241, 212, 6820, 6, 20535, 6, 8, 3038, 45552, 833, 81, 10, 5204, 12638, 1451, 6, 150, 2236, 1021, 2678, 29, 1606, 41, 364, 38537, 10490, 4, 8504, 11, 83, 3694, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 2125, 16, 17407, 30, 10, 16331, 13931, 9, 230, 6, 274, 401, 6, 8, 230, 73, 534, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50796, 61627, 58260, 50809, 67409, 52716, 51276, 50581, 51276, 50597, 55434, 58260, 50809, 67409, 59742, 50957, 50597, 55634, 67409, 50830, 58260, 52744, 50957, 50597, 60272, 58260, 50818, 67409, 52816, 61526, 55053, 58260, 50818, 67409, 52259, 61526, 50864, 50799, 51240, 52090, 51091, 50423, 51236, 67685, 55137, 58915, 51535, 51768, 51370, 57345, 51170, 54162, 52444, 51240, 53871, 60865, 51240, 54787, 51236, 52741, 51170, 56880, 53710, 50967, 52365, 51318, 50456, 51240, 54370, 51236, 50808, 50799, 51240, 52090, 51091, 78739, 55206, 58915, 51749, 51768, 53710, 50983, 51974, 55507, 59046, 51170, 53418, 51240, 52259, 60865, 51240, 62130, 50911, 51955, 69734, 51192, 52365, 51318, 50791, 51291, 50799, 51240, 52090, 51091, 78739, 55206, 50830, 52365, 51535, 51768, 53710, 57345, 51170, 54162, 53307, 51170, 53442, 51240, 53690, 60865, 51240, 56312, 51236, 54411, 51170, 69573, 58915, 51477, 50791, 51291, 50456, 51240, 56419, 51236, 50962, 50799, 51240, 59872, 51091, 50423, 51065, 55507, 54250, 50830, 52365, 51749, 51768, 52744, 51291, 51974, 55507, 54459, 50748, 50309, 55068, 50748, 50313, 55068, 50748, 50318, 55068, 51240, 52816, 51091, 50441, 51240, 55920, 51240, 50893, 51236, 65399, 51170, 71074, 50830, 52365, 74742, 53312, 51240, 50828, 56540, 52048, 53620, 52069, 54037, 52069, 54646, 52069, 51240, 52090, 51091, 78739, 55206, 58915, 51535, 50426, 51170, 50365, 51502, 53710, 57345, 51170, 52816, 53307, 51170, 53442, 51011, 50967, 51240, 53662, 60865, 51240, 63774, 50727, 50321, 50897, 57587, 55620, 74854, 50938, 51133, 50967, 51170, 65465, 53710, 50967, 52365, 51318, 58401, 59132, 51170, 58892, 50727, 50321, 50910, 57587, 50910, 50460, 54341, 52069, 50461, 53605, 51692, 50799, 50727, 50323, 72695, 50991, 54398, 51692, 51240, 52090, 51091, 58085, 64736, 70210, 69734, 55206, 58915, 51749, 59019, 50865, 51768, 53710, 50983, 51974, 55507, 59046, 51170, 52600, 50953, 51060, 51240, 53579, 60865, 51240, 64127, 51236, 53688, 77932, 51170, 56880, 50865, 52365, 51318, 50791, 51291, 50453, 50727, 50318, 50800, 57120, 51754, 51240, 58839, 77526, 50809, 58108, 50809, 50799, 50727, 50321, 50991, 50927, 50967, 54855, 51790, 55431, 51790, 53620, 51790, 51240, 57603, 51091, 57587, 64736, 50727, 50314, 69734, 54250, 50830, 52365, 51535, 64169, 54919, 51170, 64868, 53710, 50983, 51974, 55507, 59046, 51170, 52742, 50945, 50991, 51240, 52259, 60865, 51240, 55260, 51011, 50991, 51170, 62421, 50865, 52365, 51477, 50791, 51291, 50454, 70210, 50800, 59019, 51754, 51240, 53793, 50727, 50318, 50800, 57120, 50800, 65310, 51291, 51240, 52090, 51091, 50417, 77526, 50830, 58108, 55587, 58155, 51790, 55832, 51790, 54398, 51790, 78739, 54250, 50830, 52365, 51749, 51768, 53710, 51291, 51974, 55507, 54459, 51019, 50983, 51240, 57670, 54070, 51091, 50441, 51236, 54840, 51240, 52610, 51170, 62421, 50865, 52365, 74742, 58031, 51236, 53875, 51240, 50846, 53870, 50983, 58155, 52069, 58206, 51353, 54037, 51353, 51240, 59872, 51091, 50423, 50852, 54582, 65820, 51535, 51768, 53710, 50983, 51974, 55507, 56486, 70613, 54582, 50841, 70076, 51724, 50727, 50321, 50865, 52022, 51048, 51240, 53690, 50983, 57587, 55700, 51240, 75237, 70613, 50800, 70076, 51757, 50727, 50321, 50967, 50945, 51112, 51170, 62421, 53710, 50967, 52365, 51318, 57587, 58760, 51240, 69866, 70613, 50800, 70076, 50800, 50799, 77526, 50967, 50953, 50983, 54341, 51692, 54398, 51692, 53605, 51692, 51240, 52090, 51091, 58108, 75826, 70210, 52227, 54582, 65820, 51749, 59019, 51620, 50903, 53710, 50983, 51974, 55507, 56360, 51133, 56902, 60865, 51240, 52610, 50964, 50991, 51170, 56088, 50865, 52365, 51318, 50791, 51291, 50454, 77526, 50800, 58108, 51754, 51240, 67758, 70210, 50830, 59019, 50830, 50799, 50727, 50311, 51048, 50927, 50983, 55431, 52069, 54855, 51353, 53620, 52069, 51240, 52090, 51091, 69108, 51048, 78739, 54250, 50830, 52365, 51535, 51768, 53710, 50983, 51974, 55507, 59046, 51170, 53442, 51271, 51060, 51240, 51730, 50983, 50441, 51236, 54465, 51240, 53153, 51271, 50967, 51170, 62794, 50830, 52365, 51477, 50791, 51291, 50454, 50727, 50311, 50830, 69108, 54896, 51240, 63728, 50727, 50309, 50800, 71198, 50800, 50799, 79047, 65665, 51291, 54341, 51945, 53605, 51945, 54398, 51945, 51240, 59872, 51091, 72846, 60232, 50727, 50309, 50800, 71198, 60721, 79047, 51060, 72846, 51060, 50423, 51065, 55507, 54250, 50830, 52365, 51749, 51768, 52744, 51291, 51974, 55507, 62268, 50748, 50309, 54089, 50748, 50313, 54089, 50748, 50318, 54089, 50438, 51271, 51060, 51240, 54534, 51091, 50441, 51236, 54400, 51240, 58111, 51271, 50991, 51170, 56088, 50865, 52365, 74742, 58031, 51236, 54166, 51240, 50880, 56540, 51048, 54646, 51945, 53620, 51945, 54037, 51945, 51240, 52090, 51091, 50423, 50852, 54582, 65820, 51535, 51768, 53710, 50983, 51974, 55507, 54459, 56414, 50903, 54070, 60865, 51240, 73123, 51236, 71303, 50727, 50321, 50809, 57587, 52555, 58531, 51170, 60369, 53710, 50967, 52365, 51318, 50451, 74854, 50830, 58401, 54896, 51240, 57521, 70776, 50800, 60828, 50800, 53534, 51112, 54341, 51518, 53605, 51518, 54398, 51518, 51240, 59872, 51091, 50415, 50727, 50323, 50967, 58085, 75826, 70210, 69734, 55206, 54772, 61210, 51749, 59019, 54919, 51170, 64429, 53710, 50983, 51974, 55507, 56486, 51170, 53116, 65082, 51240, 53662, 60865, 51236, 64493, 50936, 57762, 50879, 51170, 61295, 50865, 52365, 51318, 50791, 51291, 50454, 50727, 50318, 50809, 57120, 52485, 51240, 66767, 77526, 50800, 58108, 50800, 50799, 50727, 50321, 50991, 50927, 51073, 55431, 51675, 54855, 51675, 53620, 51675, 51240, 59872, 51091, 57587, 64736, 50727, 50314, 50830, 51236, 59719, 54250, 50830, 52365, 51535, 64169, 53244, 51170, 64868, 51370, 57345, 51170, 54162, 53307, 51170, 53116, 63676, 51240, 53393, 60865, 51240, 50936, 57762, 50879, 51170, 63035, 50830, 52365, 51477, 50791, 51291, 50454, 70210, 50800, 59019, 51754, 51240, 57521, 50727, 50318, 50809, 57120, 50809, 52563, 51013, 51240, 54187, 51091, 50417, 77526, 50830, 58108, 55587, 54646, 51518, 56633, 51518, 58206, 51675, 78739, 57919, 58453, 50830, 52365, 51749, 51768, 51370, 51291, 51974, 55507, 52877, 51011, 63388, 64966, 52365, 56544, 50925, 51240, 52610, 51133, 50879, 51170, 60369, 50865, 52365, 74742, 53312, 51240, 50880, 52354, 51013, 55431, 51518, 54646, 51359, 53620, 51945, 51240, 52090, 51091, 78739, 55206, 58915, 51535, 51768, 53710, 50983, 51974, 55507, 56486, 51170, 52742, 66856, 51240, 53690, 60865, 51240, 71097, 70210, 50800, 59019, 51757, 65082, 51170, 63035, 53710, 50967, 52365, 51318, 50451, 50727, 50321, 50865, 57587, 55037, 51240, 56046, 70210, 50800, 59019, 50800, 53534, 51013, 55431, 51518, 54646, 51675, 53605, 51675, 51240, 62233, 51091, 50415, 50727, 50318, 50967, 57120, 75826, 51170, 55064, 58915, 51749, 51768, 51370, 51291, 51974, 55507, 50887, 53758, 76966, 53662, 60865, 51240, 55967, 51236, 54208, 67110, 51170, 63035, 50830, 52365, 51318, 50791, 51291, 50456, 51240, 57521, 70210, 50830, 59019, 50830, 52354, 52392, 58155, 51359, 53605, 51359, 60876, 51359, 51240, 52090, 51091, 50415, 50727, 50319, 50807, 61127, 62405, 50852, 75012, 50921, 52365, 51535, 51768, 53710, 57345, 51170, 54162, 53307, 51170, 53219, 51240, 53690, 60865, 51240, 53153, 51170, 69573, 50865, 52365, 51477 ]
[ 0, 250, 251, 6, 2635, 12, 20764, 5175, 8, 25771, 2125, 11, 274, 538, 6, 4246, 10, 13305, 6, 38668, 11212, 6, 21979, 9590, 6, 2382, 3459, 8669, 6, 8, 21072, 4, 20, 33301, 7630, 6568, 10, 19448, 6, 5679, 26709, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 20, 15229, 11498, 10, 204, 73, 306, 86, 6543, 8, 29769, 198, 5, 40286, 274, 8, 211, 119, 6, 61, 7230, 1328, 5, 2125, 6, 2351, 10, 32625, 8, 23975, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 71965, 51449, 51557, 52062, 51261, 52069, 50420, 51303, 51671, 50426, 51327, 52140, 51457, 51592, 50450, 51414, 51961, 50456, 51616, 52063, 51140, 51242, 72412, 51243, 51401, 52062, 51098, 52069, 50420, 51410, 52062, 50426, 51249, 51592, 51414, 52140, 50450, 51231, 51637, 50456, 51616, 51079, 51140, 51212, 71965, 51243, 51557, 52062, 51261, 52151, 50420, 51303, 74743, 51327, 52168, 51457, 52140, 50450, 51414, 52136, 50456, 51616, 51481, 51140, 51328, 72412, 51449, 51401, 52222, 51098, 52062, 50420, 51410, 53142, 50426, 51249, 51939, 51414, 52140, 50450, 51231, 51965, 50456, 51616, 51481, 51140, 51328, 50799, 55285, 52720, 52303, 51330, 51557, 52335, 51261, 52222, 50856, 50361, 51053, 51790, 50420, 53075, 53486, 51303, 51449, 50856, 67847, 52303, 51330, 51327, 53486, 51457, 52528, 50856, 55003, 50432, 51476, 75836, 55003, 50438, 51410, 52460, 50856, 53379, 50444, 51476, 52063, 50856, 65656, 52303, 52460, 51414, 52136, 50856, 53379, 50456, 53075, 54298, 51616, 52063, 51140, 51328, 53360, 51259, 53379, 72412, 50863, 52690, 54171, 51401, 52062, 51098, 52222, 50856, 50359, 51053, 52069, 50420, 51410, 53588, 50856, 67847, 51249, 52140, 51414, 52528, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 52441, 50856, 55003, 50456, 51616, 51481, 51140, 51481, 50856, 51998, 71965, 51922, 51557, 52062, 51261, 52222, 50856, 50361, 51053, 51692, 50420, 51303, 51748, 50856, 67847, 51327, 52168, 51457, 52783, 50856, 55003, 50432, 50856, 55003, 56797, 53379, 56752, 65656, 51414, 52136, 50856, 53379, 50456, 51616, 51753, 51140, 51277, 50801, 71748, 53379, 72412, 51449, 51401, 51243, 51098, 51293, 50856, 50359, 51053, 52069, 50420, 51410, 53142, 50856, 67847, 51249, 52783, 51414, 53486, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 51466, 50856, 55003, 50456, 53075, 51277, 51140, 58253, 51998, 50799, 56139, 52335, 51557, 54143, 51560, 52062, 54030, 52440, 52356, 50359, 50919, 50361, 59064, 50364, 51053, 51518, 50417, 52356, 72450, 52303, 51753, 50856, 50358, 50792, 50583, 71133, 50426, 51303, 51965, 51231, 52188, 50856, 55003, 50432, 52303, 53096, 50856, 55003, 50433, 52356, 52231, 50436, 52356, 50359, 55958, 63806, 50438, 51687, 52059, 51231, 52048, 53807, 52147, 50856, 53379, 50444, 52303, 52482, 50856, 65656, 51687, 53280, 51231, 52136, 50856, 53379, 50456, 52303, 52460, 50801, 56500, 53379, 50799, 56139, 51243, 51560, 51671, 54876, 55086, 50856, 50359, 51053, 52069, 50420, 52303, 51642, 50856, 67847, 51303, 52168, 51231, 51447, 50856, 53379, 50432, 52303, 54298, 50856, 53379, 50438, 51687, 52034, 50856, 55003, 50444, 52303, 54344, 50856, 53379, 50450, 51687, 56123, 51231, 52256, 54030, 52025, 50856, 55003, 50456, 52303, 51166, 50856, 51998, 50799, 55285, 52720, 52303, 50912, 51557, 52335, 51261, 52222, 53775, 52988, 50856, 50361, 51053, 51692, 50420, 53075, 53486, 51303, 51449, 50856, 67847, 52303, 51330, 51327, 53486, 51457, 52528, 50856, 55003, 50432, 51476, 75836, 55003, 50438, 51410, 52460, 50856, 53379, 50444, 51476, 52063, 50856, 65656, 52303, 52460, 51414, 52136, 50856, 53379, 50456, 53075, 54298, 51616, 52063, 51140, 51328, 52234, 51259, 53379, 72412, 50863, 52690, 54171, 51401, 52062, 51098, 52222, 50856, 50359, 51053, 52069, 50420, 51410, 53588, 50856, 67847, 51249, 52140, 51414, 52528, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 52441, 50856, 55003, 50456, 51616, 51481, 51140, 51481, 50856, 51998, 50799, 55285, 51449, 52303, 51466, 51557, 52062, 51261, 52222, 50856, 50361, 51053, 51692, 50420, 53075, 52980, 51303, 51748, 50856, 67847, 52303, 51797, 51327, 52168, 51457, 52783, 50856, 55003, 50432, 51476, 51753, 50856, 55003, 50438, 51410, 51797, 50856, 53379, 50444, 51476, 51753, 50856, 65656, 52303, 51884, 51414, 52136, 50856, 53379, 50456, 53075, 51753, 51616, 51753, 51140, 51277, 50801, 61212, 53379, 72412, 50837, 52690, 53142, 51401, 51243, 51098, 51293, 50856, 50359, 51053, 51692, 50420, 51410, 53142, 50856, 67847, 51249, 52783, 51414, 53486, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 51466, 50856, 55003, 50456, 53075, 51277, 50801, 61212, 51998, 50799, 56139, 52335, 51557, 54143, 51560, 52062, 54030, 51703, 50856, 50361, 51053, 51538, 50415, 51206, 52611, 50417, 51206, 52611, 50420, 52303, 51753, 51206, 50359, 51259, 51998, 50422, 51206, 55003, 50424, 51206, 55003, 50426, 51303, 51965, 51231, 52188, 50856, 55003, 50427, 51206, 52611, 50429, 51206, 54060, 50432, 52303, 53096, 51206, 50360, 51259, 55003, 50434, 51206, 54060, 50436, 51206, 52611, 50438, 51687, 52059, 51231, 52048, 53807, 52440, 50856, 53379, 50439, 51206, 52445, 50441, 51206, 50360, 50400, 50444, 52303, 52482, 50856, 65656, 51687, 53280, 51231, 52136, 50856, 53379, 50456, 52303, 52460, 50801, 59260, 53379, 50799, 56139, 51243, 51560, 51671, 55199, 55086, 50856, 50359, 51053, 51945, 50420, 52303, 51642, 50856, 67847, 51303, 52168, 51231, 51447, 50856, 53379, 50432, 52303, 54298, 50856, 53379, 50438, 51687, 52034, 50856, 55003, 50444, 52303, 54344, 50856, 53379, 50450, 51687, 56123, 51231, 52256, 53807, 53838, 50856, 55003, 50456, 52303, 73712, 71015, 51998, 50799, 55285, 52720, 52303, 50912, 51557, 52335, 51261, 52222, 53775, 76297, 50856, 50361, 51053, 51518, 50420, 53075, 53486, 51303, 51449, 50856, 67847, 52303, 51330, 51327, 53486, 51457, 52528, 50856, 55003, 50432, 51476, 75836, 55003, 50438, 51410, 52460, 50856, 53379, 50444, 51476, 52063, 50856, 65656, 52303, 52460, 51414, 52136, 50856, 53379, 50456, 53075, 54298, 51616, 52063, 51140, 51328, 50801, 55454, 53379, 72412, 50863, 52690, 54171, 51401, 52062, 51098, 52222, 50856, 50359, 51053, 52069, 50420, 51410, 53588, 50856, 67847, 51249, 52140, 51414, 52528, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 52441, 50856, 55003, 50456, 51616, 51481, 51140, 51481, 50856, 51998, 50799, 55285, 51449, 52303, 51466, 51557, 52062, 51261, 52222, 50856, 50361, 51053, 51677, 50420, 53075, 52980, 51303, 51748, 50856, 67847, 52303, 51797, 51327, 52168, 51457, 52783, 50856, 55003, 50432, 51476, 51753, 50856, 55003, 50438, 51410, 51797, 50856, 53379, 50444, 51476, 51753, 50856, 65656, 52303, 51884, 51414, 52136, 50856, 53379, 50456, 53075, 51753, 51616, 51753, 51140, 51277, 50801, 59260, 53379, 72412, 50837, 52690, 53142, 51401, 51243, 51098, 51293, 50856, 50359, 51053, 51894, 50420, 51410, 53142, 50856, 67847, 51249, 52783, 51414, 53486, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 51466, 50856, 55003, 50456, 53075, 51277, 50856, 51998, 50799, 56139, 52335, 51341, 53142, 51560, 52062, 53775, 53280, 58498, 53577, 58828, 68086, 59767, 60130, 63811, 66898, 50856, 50361, 51053, 51518, 50420, 52303, 51753, 50856, 67847, 51303, 51965, 51231, 52188, 50856, 55003, 50432, 52303, 53096, 53807, 53577, 59767, 56329, 50856, 55003, 50438, 51687, 52059, 51231, 52048, 50856, 53379, 50444, 52303, 52482, 50856, 65656, 51687, 53280, 51231, 52136, 54142, 52618, 50856, 53379, 50456, 52303, 52460, 52234, 51259, 53379, 50799, 56139, 51243, 51560, 51671, 53775, 52519, 58525, 52519, 50856, 50359, 51053, 51945, 50420, 52303, 51642, 50856, 67847, 51303, 52168, 51231 ]
[ 0, 250, 15855, 2125, 19, 10, 2933, 8, 9066, 6711, 6, 4246, 10, 12280, 3275, 1725, 3109, 816, 10, 2635, 33301, 11, 83, 3694, 4, 20, 1049, 33215, 16739, 6, 381, 6, 83, 6, 211, 6, 381, 6, 83, 6, 16, 702, 23, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 11, 204, 73, 306, 86, 6543, 4, 152, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 442, 24, 10686, 13, 304, 11, 3541, 50, 426, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 52044, 68159, 52205, 60134, 54081, 64262, 54066, 64058, 52044, 52674, 53731, 65196, 53029, 50823, 52205, 51407, 50443, 53895, 59981, 52573, 66054, 52049, 64776, 53029, 57239, 53882, 50823, 51601, 52573, 50824, 50419, 53731, 60134, 52205, 64262, 52662, 50823, 55061, 50824, 50431, 54081, 52674, 53382, 57149, 53029, 50823, 53382, 50824, 50443, 53895, 59981, 52573, 66054, 52049, 50823, 54081, 51059, 50455, 53029, 57239, 53882, 50823, 51601, 52573, 50824, 50419, 53731, 60134, 52205, 64262, 52662, 50823, 55061, 50824, 50431, 54081, 52674, 53382, 57149, 54081, 50823, 53029, 50824, 50443, 54066, 52911, 52205, 57365, 53731, 50823, 55061, 50824, 50455, 52662, 52937, 69289, 51601, 52797, 50823, 53029, 50824, 50419, 52044, 52801, 52049, 56998, 53322, 50823, 55061, 50824, 50431, 52242, 59184, 52550, 65196, 52550, 50817, 59112, 50824, 50440, 53895, 54129, 52550, 58772, 53895, 50975, 50451, 52662, 50817, 59112, 58615, 52205, 57916, 52662, 57859, 53029, 50823, 52205, 50975, 50459, 53895, 50823, 51601, 52662, 50817, 58739, 50823, 50416, 52205, 61792, 52662, 61993, 53249, 50823, 52205, 74377, 52550, 64262, 52662, 50817, 60730, 65759, 52205, 57834, 52662, 58976, 53895, 50823, 52205, 50975, 50435, 52573, 65196, 52662, 50817, 55411, 70736, 52205, 60178, 52662, 58772, 52550, 50823, 52205, 73704, 52740, 66054, 52662, 50817, 55061, 71524, 52205, 57916, 52662, 57859, 52573, 50823, 52205, 50975, 50459, 53322, 50823, 51601, 52662, 50817, 55342, 50823, 50416, 52205, 61792, 52662, 61993, 52740, 50823, 52205, 74377, 52049, 64262, 56280, 50823, 52662, 64058, 53322, 50823, 54081, 59184, 52242, 50823, 53382, 65196, 54081, 50823, 53029, 50824, 50443, 52662, 59981, 52205, 50975, 50451, 52049, 50824, 50455, 53731, 57239, 52416, 50823, 51601, 53731, 50823, 52242, 50824, 50419, 52205, 60134, 52662, 50975, 50427, 52797, 50824, 50431, 52205, 59184, 53731, 65196, 52416, 50823, 51975, 50824, 50443, 52895, 59981, 52416, 50975, 50451, 52049, 50824, 50455, 52895, 57239, 52416, 50823, 51601, 53731, 50823, 52242, 50824, 50419, 52205, 60134, 52662, 50975, 50427, 52797, 50824, 50431, 52205, 59184, 53731, 65196, 52205, 50823, 52740, 50824, 52049, 50824, 50443, 53731, 59981, 52205, 50975, 50451, 52740, 50824, 52049, 50824, 50455, 53731, 57239, 52205, 50823, 51601, 57557, 50823, 53249, 50824, 52740, 50824, 52049, 50824, 50419, 57082, 60134, 52205, 50975, 50427, 53249, 50824, 52740, 50824, 52049, 50824, 50431, 52342, 59184, 52416, 65196, 52342, 50823, 53249, 50824, 52573, 50824, 52292, 50824, 50443, 52416, 59981, 52342, 66054, 52416, 50823, 53249, 50824, 53882, 50824, 52740, 50824, 50455, 52342, 57239, 52205, 50823, 51601, 52342, 50823, 53249, 50824, 52573, 50824, 52292, 50824, 50419, 52416, 60134, 52342, 64262, 52416, 50823, 53249, 50824, 53882, 50824, 52740, 50824, 50431, 52342, 59184, 52205, 65196, 52342, 50823, 52573, 50824, 52292, 50824, 50443, 52416, 59981, 52342, 50975, 50451, 52573, 50824, 52292, 50824, 50455, 52416, 57239, 52342, 50823, 51601, 54081, 50823, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50419, 54066, 60134, 52342, 50975, 50427, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50431, 52416, 59184, 52044, 65196, 52416, 50823, 53029, 50824, 52550, 50824, 52740, 50824, 50443, 52044, 59981, 52416, 66054, 52044, 50823, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50455, 52416, 57239, 52342, 50823, 51601, 52416, 50823, 53029, 50824, 52550, 50824, 52740, 50824, 50419, 52044, 60134, 52416, 64262, 52044, 50823, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50431, 52416, 59184, 52342, 65196, 52342, 50817, 52550, 50824, 52740, 50824, 50440, 52416, 54129, 52342, 58772, 52416, 50975, 50451, 53382, 50823, 55411, 50824, 52550, 50824, 50455, 52205, 57239, 53640, 50823, 51601, 54073, 50823, 55411, 50824, 52550, 50824, 50419, 51975, 60134, 53634, 64262, 52205, 50823, 55411, 50824, 52550, 50824, 50431, 52443, 59184, 53324, 50823, 52342, 65196, 55411, 50824, 52550, 50824, 52049, 50824, 52416, 67067, 53382, 50823, 55411, 50824, 52550, 50824, 50455, 52205, 57239, 53640, 50823, 51601, 54073, 50823, 55411, 50824, 52550, 50824, 50419, 51975, 60134, 53634, 64262, 52205, 50975, 55411, 50824, 52550, 50824, 50431, 52443, 59184, 53324, 50823, 52342, 65196, 55411, 50824, 52550, 50824, 52049, 50824, 52416, 67067, 52416, 50823, 55411, 50824, 52550, 50824, 50455, 52443, 57239, 52416, 50823, 51601, 52205, 50823, 59112, 50824, 53029, 50824, 50419, 53640, 60134, 52205, 64262, 52416, 50975, 59112, 50824, 53029, 50824, 50431, 52443, 59184, 52292, 50823, 52044, 65196, 58739, 50824, 53249, 50824, 52740, 50824, 53634, 67067, 52662, 50823, 58739, 50824, 53249, 50824, 50455, 52416, 57239, 52205, 50823, 51601, 52342, 50823, 58739, 50824, 53249, 50824, 50419, 52044, 60134, 52797, 64262, 53324, 50823, 58739, 50824, 53249, 50824, 50431, 52292, 59184, 52044, 65196, 58739, 50824, 53249, 50824, 52740, 50824, 53634, 67067, 52662, 50823, 58739, 50824, 53249, 50824, 50455, 52416, 57239, 52205, 50823, 51601, 52342, 50823, 58739, 50824, 53249, 50824, 50419, 52044, 60134, 52797, 64262, 53324, 50823, 58739, 50824, 53249, 50824, 50431, 52292, 59184, 52044, 65196, 58739, 50824, 53249, 50824, 52740, 50824, 53634, 67067, 54081, 50817, 58739, 71524, 52662, 54085, 54081, 57859, 53249, 50823, 52662, 50975, 50459, 53882, 50823, 51601, 54081, 50817, 60730, 50823, 50416, 52662, 55265, 54081, 61993, 53895, 50823, 52662, 74377, 52573, 64262, 54081, 50817, 59040, 65759, 52662, 54396, 54081, 58976, 53882, 50823, 52662, 50975, 50435, 52740, 65196, 54081, 50817, 55061, 70736, 52662, 54129, 54081, 58772, 52573, 50823, 52662, 73704, 53322, 66054, 54081, 50817, 55342, 71524, 52662, 54085, 54081, 57859, 52740, 50823, 52662, 50975, 50459, 52049, 50823, 51601, 54081, 50817, 56280, 50823, 50416, 52662, 55265, 54081, 61792, 53322, 50823, 52662, 73129, 52242, 53537, 57557, 50817, 53029, 65759, 54081, 54396, 57557, 57834, 52049, 50823, 54081, 73637, 52797, 53925, 54066, 50817, 53249, 70736, 57557, 54129, 54066, 60178, 52242, 50823, 57557, 74661, 53634, 53798, 54066, 50823, 55061, 66395, 52662, 56250, 53731, 50823, 50799, 52205, 50823, 53029, 73354, 52662, 56733, 54081, 50823, 52044, 54107, 53731, 50823, 53249, 65514, 52205, 55996, 53634, 50823, 52416, 53925, 55061, 50824, 52044, 67067, 52573, 50823, 54066, 50824, 50455, 52044, 57239, 53731, 50823, 51601, 53895, 50823, 54066, 50824, 50419, 52797, 60134, 52044, 64262, 53029, 50823, 66262, 51059, 50431, 52049, 59184, 52797, 65196, 58739, 50824, 50443, 57082, 59981, 57557, 66054, 52662, 50823, 58739, 50824, 50455, 57082, 57239, 66262, 50823, 51601, 71461, 50823, 55061, 50824, 52662, 50824, 50419, 57082, 60134, 71461, 64262, 57082, 50823, 58739, 50824, 52205, 50824, 50431, 54066, 59184, 57082, 65196, 55061, 50824, 53731, 50824, 54066, 67067, 52573, 50823, 54066, 50824, 50455, 52044, 57239, 53731, 50823, 51601, 53895, 50823, 54066, 50824, 50419, 52797, 60134, 52044, 64262, 53029, 50823, 66262, 51059, 50431, 52049, 59184, 52797, 65196, 58739, 50824, 50443, 57082, 59981, 57557, 66054, 52662, 50823, 58739, 50824, 50455, 57082, 57239, 66262, 50823, 51601, 71461, 50823, 55061, 50824, 52662, 50824, 50419, 57082, 60134, 71461, 64262, 57082, 50823, 58739 ]
[ 0, 250, 20902, 8, 14899, 3495, 2214, 19, 10, 11602, 9, 19834, 4785, 6, 42, 8787, 2125, 22750, 1626, 11098, 8, 1619, 9450, 4, 27901, 10, 11577, 11739, 9, 2003, 38704, 31365, 25999, 6, 3459, 9590, 6, 32909, 6, 3459, 8669, 6, 8, 10, 20535, 2810, 6, 24, 11498, 10, 1769, 20889, 9, 18817, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 163, 538, 6, 5, 15229, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 163, 406, 6, 274, 10431, 6, 8, 230, 10431, 406, 6, 1271, 7, 63, 33558, 8, 2365, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 52013, 63098, 52013, 52125, 52013, 56827, 52013, 50923, 50799, 52013, 50802, 60260, 54886, 50823, 51553, 53798, 51456, 51014, 50454, 51224, 75183, 51326, 50823, 50799, 52745, 51184, 53170, 51161, 53084, 51161, 53144, 53090, 53088, 52045, 52421, 53090, 52333, 52045, 50801, 73256, 65487, 50993, 66071, 50415, 52310, 51161, 53147, 51161, 60985, 51161, 50416, 52027, 56769, 51944, 55362, 51440, 53898, 50422, 55424, 50887, 53252, 50828, 53469, 50840, 52880, 54020, 64785, 51033, 51205, 54856, 51068, 59451, 65900, 51045, 51415, 51138, 50434, 55424, 50887, 53252, 50895, 53469, 50890, 52880, 54441, 64785, 50921, 51415, 51033, 51658, 59146, 51045, 51011, 70894, 55424, 50895, 53252, 50895, 53469, 50884, 52880, 54441, 59146, 50952, 51011, 54596, 51068, 57353, 63661, 51045, 51213, 51030, 61092, 67098, 52578, 50800, 53152, 50800, 52314, 50830, 52698, 57924, 52264, 50830, 52377, 50800, 56381, 75087, 52489, 50830, 52747, 57459, 55424, 50836, 53252, 50846, 53469, 50840, 52880, 50890, 53152, 50830, 52578, 50800, 52314, 50800, 52698, 52218, 61845, 50940, 51213, 50858, 61092, 50800, 50799, 53170, 50967, 52310, 51060, 53147, 50967, 53084, 56937, 68067, 51045, 66071, 60985, 50991, 50421, 52489, 71587, 52745, 50895, 55424, 50895, 53252, 50895, 53469, 50818, 52880, 50895, 52747, 50967, 52264, 50795, 52377, 55955, 59146, 50897, 51205, 59214, 52700, 51021, 68513, 51021, 56381, 51631, 52027, 50821, 51944, 51033, 51808, 74966, 57652, 55415, 50823, 51415, 51138, 50428, 51702, 54013, 51776, 50818, 51509, 50818, 52384, 50818, 55291, 50818, 54833, 57318, 51713, 50818, 51888, 50818, 51744, 50818, 52058, 50818, 51947, 50818, 58166, 56999, 51648, 50818, 51485, 50818, 51431, 50818, 52339, 50818, 56167, 52209, 51683, 50818, 51906, 50818, 51723, 50818, 51898, 50818, 53093, 50818, 56187, 57201, 51913, 50818, 52039, 50818, 52334, 50818, 53266, 50818, 53456, 56859, 52745, 50961, 55424, 50895, 53469, 50887, 52880, 50884, 51963, 50818, 52103, 50818, 53808, 50818, 56173, 54005, 55941, 50952, 51415, 53660, 53076, 50962, 50718, 50322, 50962, 50436, 53252, 52565, 52027, 50911, 51944, 50806, 51440, 51286, 51924, 56795, 73256, 51045, 70994, 67894, 50911, 50446, 52027, 50930, 51944, 50895, 51808, 50895, 51390, 50882, 55424, 50890, 53252, 50818, 53469, 50884, 52880, 54405, 59146, 50910, 51213, 50894, 59686, 54988, 52745, 50820, 53152, 50800, 52698, 74427, 57652, 55415, 50823, 61674, 50451, 51590, 51354, 52578, 50800, 52314, 50800, 61092, 50800, 62435, 51354, 50454, 52489, 50800, 52264, 50800, 52377, 50800, 51105, 70329, 52747, 50830, 56381, 66656, 53152, 57459, 52027, 52017, 51944, 56769, 51808, 56073, 51229, 50834, 55424, 50883, 53252, 50884, 53469, 50818, 52880, 50846, 52578, 50800, 52314, 50830, 52698, 55236, 68067, 50830, 51213, 50921, 61092, 50800, 57683, 50834, 50799, 52745, 51445, 52310, 50795, 53170, 50795, 53147, 50795, 53084, 50795, 53144, 52024, 53088, 52149, 52421, 51492, 52333, 52024, 50801, 73256, 51045, 51205, 51138, 60985, 62192, 51390, 50976, 59686, 72693, 55424, 50883, 53252, 50884, 53469, 50884, 52880, 50818, 53170, 50991, 52310, 51060, 53147, 50967, 53084, 68868, 70398, 50910, 51205, 50821, 60985, 51060, 60659, 57353, 55415, 50823, 51415, 51045, 50427, 51390, 50911, 59686, 50911, 50430, 52489, 50800, 52747, 50800, 52264, 50809, 52377, 50800, 56381, 57659, 53152, 50830, 52578, 50865, 52698, 50800, 61092, 57083, 51590, 51160, 55424, 50930, 53252, 50818, 53469, 50846, 52880, 50887, 52314, 52218, 68067, 50897, 51415, 51033, 62435, 51160, 50437, 52148, 50807, 56293, 61636, 52002, 51048, 51913, 51048, 52067, 72263, 73256, 51014, 51011, 70089, 55424, 50884, 53252, 50884, 53469, 50890, 52880, 54020, 73256, 50910, 51011, 50940, 50449, 52578, 50800, 53152, 50830, 52314, 51757, 52698, 74427, 57652, 65900, 51045, 70014, 61092, 52809, 52747, 57924, 52489, 50800, 52264, 50800, 52377, 50865, 56381, 59747, 52314, 50830, 61092, 56388, 52027, 52188, 55424, 50895, 53252, 50818, 53469, 50834, 52880, 50880, 52578, 50830, 53152, 50800, 52698, 52218, 61845, 50910, 51213, 50940, 50461, 52148, 50795, 50799, 52745, 51191, 52002, 50795, 51913, 51060, 52067, 55955, 73256, 51014, 51205, 50911, 56293, 69817, 52148, 51060, 56293, 71587, 52027, 50836, 51924, 51072, 55424, 50818, 53252, 50818, 53469, 50839, 52880, 50930, 51913, 75157, 50795, 52067, 56937, 55941, 50910, 51205, 50859, 67894, 66489, 52027, 51030, 51944, 51138, 51808, 51138, 51068, 54792, 65900, 51045, 77308, 50430, 52719, 50830, 51648, 50800, 51485, 50809, 52058, 50800, 56167, 52359, 51390, 50858, 59686, 64338, 64795, 57083, 52745, 50839, 51590, 50962, 55424, 50884, 53252, 50884, 53469, 50841, 52880, 50818, 56844, 50809, 52298, 50809, 53175, 52218, 68067, 50910, 51228, 50940, 62435, 61968, 52310, 58291, 51485, 52424, 52027, 50910, 52719, 50807, 51648, 51048, 52058, 72263, 68067, 51014, 69078, 56167, 51048, 50439, 51590, 50824, 62435, 50824, 50440, 51808, 61334, 52027, 50894, 51944, 51033, 51440, 51033, 55424, 50890, 53252, 50818, 53469, 50820, 52880, 54376, 73256, 50897, 50927, 53484, 56844, 50967, 52310, 50967, 52298, 51060, 53175, 50991, 51068, 54792, 54286, 51014, 51105, 51021, 64795, 59831, 52745, 50840, 55424, 50887, 53252, 50887, 53469, 50863, 52880, 50890, 51898, 50800, 53093, 52773, 66889, 50910, 51105, 50921, 64795, 57319, 51913, 56904, 51963, 50818, 51485, 50967, 52058, 51060, 67548, 55362, 51929, 56073, 51808, 52017, 52103, 50818, 53245, 50840, 51953, 51492, 52977, 52024, 52333, 52250, 50801, 73256, 51010, 66827, 56167, 66139, 52301, 50928, 51914, 52204, 50421, 53175, 57257, 55424, 50887, 52760, 50887, 53232, 50887, 52880, 50846, 52298, 52218, 64785, 51033, 70996, 64795, 58067, 53093, 51060, 59931, 51631, 51898, 51060, 51068, 59451, 65900, 51045, 51817, 51138, 50427, 52058, 64977, 52745, 51645, 50434, 55243, 51210, 55424, 50890, 52760, 50887, 53232, 50809, 52880, 50828, 52298, 50967, 57929, 52045, 52384, 52045, 53175, 53305, 64785, 50921, 51817, 50921, 64795, 52424, 52745, 51411, 50801, 59146, 51045, 51271, 51030, 50442, 51898, 52510, 52039, 57000, 55243, 51309, 51924, 50802, 55424, 50895, 52760, 50890, 53232, 50809, 52880, 54020, 59146, 50952, 51271, 50800, 67894, 55373, 53093, 60794, 53266, 57868, 53456, 52396, 52745, 51277, 51068, 57353, 63661, 51045, 67044, 50457, 58837, 56388, 52745, 51203, 51924, 51014, 55424, 50895, 52760, 50809, 53232, 50839, 52880, 50887, 53175, 52218, 61845, 50940, 51415, 50921, 64795, 50865, 67894, 51014, 50799, 55243, 51203, 55173, 50795, 52058, 68868, 68067, 51045, 66827, 56167, 51060, 50415, 51390, 51111, 59686, 51111, 50422, 52745, 50895, 51660, 50895, 51929, 50884, 51924, 50982, 55424, 50883, 52760, 50887, 53232, 50887, 52880, 54020, 59146, 50897, 69599, 67894, 53356, 55243, 50971, 57754, 51060, 53093, 51060, 51068, 57652, 55415, 50823, 74902, 59931, 51060, 50427, 51590, 50821, 62435, 67631, 58837, 50918, 64795, 51358, 50434, 52745, 51227, 51614, 51196, 51929, 51356, 51808, 51148, 55424, 50895, 52760, 50887, 53232, 50840, 52880, 50887, 53175, 62695, 55941, 50952, 51325, 73073, 51590, 51551, 62435, 51551, 50438, 55243, 66667, 73256, 51045, 66486, 50442, 51019, 62182, 52745, 51221, 55424, 50883, 52760, 50890, 53232, 50890, 72774, 53175, 53305, 59146, 50910, 51011, 58631, 55243, 50987 ]
[ 0, 250, 15352, 30054, 5175, 8, 25771, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 38668, 11212, 6, 3459, 9590, 6, 21072, 6, 8, 3152, 6757, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 33215, 16739, 9, 274, 119, 406, 6, 163, 428, 406, 6, 12608, 119, 1176, 406, 6, 8, 2060, 119, 1176, 406, 3639, 7, 63, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50791, 50857, 51544, 60633, 51289, 52444, 50816, 50890, 60409, 50908, 53012, 50908, 62177, 59892, 50804, 55721, 50816, 50839, 51899, 50887, 53061, 53555, 50804, 55053, 51326, 50857, 51528, 55476, 53203, 53369, 51592, 52027, 51592, 51515, 51677, 51434, 51692, 51929, 51486, 51607, 51662, 52936, 50918, 53088, 51592, 51859, 51592, 51676, 51939, 52977, 51662, 51829, 51592, 51061, 53486, 51281, 52980, 51092, 52168, 50816, 53376, 50586, 64729, 51546, 52015, 51810, 72270, 51070, 53349, 57050, 51070, 53031, 51070, 52621, 50816, 55941, 54247, 51096, 50873, 51224, 60387, 54914, 51070, 52846, 64666, 51326, 60387, 56782, 51070, 61021, 51061, 51318, 50456, 52435, 51283, 51515, 51134, 51434, 51191, 51773, 51351, 51607, 51419, 51228, 50918, 53245, 51080, 51859, 51314, 51676, 51080, 52317, 51244, 51829, 51314, 51092, 51318, 51281, 51115, 52243, 53692, 50857, 52591, 63911, 51157, 51326, 50809, 51694, 54274, 54883, 50816, 52922, 53031, 51774, 51680, 51660, 51145, 51929, 51417, 52603, 51448, 50964, 51291, 51953, 51680, 52977, 52168, 52317, 51680, 53146, 51680, 53426, 51680, 65049, 50889, 51546, 51203, 51020, 51380, 52613, 55550, 60387, 52621, 50856, 53114, 63911, 50889, 51513, 56439, 52909, 54914, 51262, 63172, 50891, 51899, 55768, 59418, 60068, 51781, 50974, 63016, 53007, 62741, 65049, 50812, 51262, 61605, 55053, 56620, 50812, 51513, 50912, 52354, 51291, 53088, 53588, 51859, 52222, 51676, 52222, 52977, 52335, 51829, 52222, 65049, 50805, 51262, 51480, 50798, 64785, 54657, 56620, 51103, 50843, 56162, 55470, 50798, 54156, 53369, 51965, 51515, 51391, 51434, 51419, 51929, 51191, 51607, 51351, 51281, 51101, 51092, 51423, 51546, 51337, 50816, 54320, 59418, 57334, 51810, 51309, 50429, 51070, 53031, 50843, 56500, 57072, 54248, 51443, 50942, 51281, 67171, 51546, 50941, 51810, 50941, 51092, 59656, 51796, 50805, 51546, 50941, 51092, 50982, 51810, 51126, 51281, 56935, 53406, 53162, 51515, 50857, 51434, 50839, 51929, 50862, 51607, 50886, 51096, 55185, 50379, 53823, 54274, 54914, 51456, 54018, 52846, 53369, 50838, 54632, 52445, 64666, 51224, 50378, 52663, 50453, 51326, 52922, 61021, 51495, 51080, 50456, 52435, 51145, 51515, 51391, 51929, 51141, 51607, 51351, 51228, 50983, 53245, 51314, 51859, 51080, 52977, 51244, 51829, 51080, 51061, 51627, 51281, 63346, 64665, 67321, 51092, 51535, 55986, 55892, 64685, 63911, 51077, 53158, 54654, 52022, 53404, 54320, 59418, 54883, 51228, 58122, 53031, 51774, 52015, 51660, 51397, 51929, 51183, 51773, 51749, 51808, 52263, 52603, 51448, 50964, 51661, 51953, 52783, 52977, 53486, 52317, 51680, 53146, 52168, 53426, 52783, 51281, 51452, 51546, 51803, 51089, 51452, 70462, 50378, 55550, 55101, 59721, 56620, 54465, 59017, 54690, 56690, 57812, 54914, 68306, 55153, 60387, 57855, 60285, 55250, 50855, 51899, 50382, 52663, 50452, 68306, 50812, 54706, 57388, 61021, 58267, 50836, 59017, 57313, 50964, 59215, 50378, 53221, 56249, 56620, 51894, 75235, 53588, 51515, 51803, 51434, 51662, 51929, 51692, 51607, 51939, 55436, 53088, 53142, 51859, 52071, 51676, 52222, 52977, 52062, 51829, 52062, 50798, 57877, 50834, 53158, 53109, 50945, 53303, 54156, 50953, 51111, 51281, 52059, 51092, 51642, 51546, 51412, 51810, 51645, 50816, 57259, 57812, 54883, 51070, 53031, 50856, 58869, 54248, 63657, 51281, 51000, 51546, 51000, 51810, 50941, 51092, 59656, 51325, 50805, 51546, 50912, 51810, 50912, 51281, 50827, 51092, 57515, 55595, 58037, 51769, 53041, 52027, 51411, 51096, 57652, 57503, 54914, 51769, 52922, 52846, 51515, 50937, 50964, 59343, 60387, 56782, 51070, 53007, 52435, 51134, 51515, 51419, 51929, 51391, 51607, 51391, 51228, 50983, 53245, 51447, 51859, 51314, 52977, 51314, 51829, 51447, 51495, 51627, 51061, 51283, 51281, 68432, 57479, 64853, 51092, 51318, 55858, 53738, 56620, 51157, 50856, 54317, 50945, 58895, 54320, 58122, 54883, 51325, 55127, 53031, 51774, 51535, 51660, 51218, 51929, 51115, 52603, 51295, 51186, 51218, 51953, 52168, 52977, 53486, 52317, 51680, 53146, 51680, 53426, 52783, 68306, 50889, 51118, 52460, 51281, 51203, 51089, 51199, 51546, 51775, 50798, 69044, 53246, 52621, 50856, 55434, 67544, 51124, 51513, 56162, 53246, 54914, 51262, 64274, 52846, 51781, 56255, 53246, 71191, 54859, 68611, 51100, 51070, 53007, 51105, 50873, 51262, 54784, 50379, 53692, 56551, 68306, 50938, 51513, 50851, 75235, 58728, 51774, 58728, 51515, 56235, 51434, 55116, 51929, 55482, 51607, 55482, 50945, 51264, 54609, 73728, 53088, 54270, 51859, 53201, 51676, 52829, 52977, 52204, 51262, 51445, 52693, 71620, 54165, 71620, 53465, 63712, 56679, 58962, 56336, 58962, 52855, 52526, 71768, 58048, 51307, 51361, 56516, 78499, 51471, 50436, 57974, 50852, 58078, 50852, 55371, 50740, 50335, 64880, 50454, 51769, 58958, 51769, 50863, 51601, 51769, 63094, 51543, 51480, 50420, 51186, 51400, 50429, 51325, 50822, 51781, 52739, 50945, 51448, 51262, 51080, 51321, 59701, 50843, 61495, 60285, 55758, 51289, 70332, 58048, 50897, 50460, 68306, 50812, 50799, 57117, 51318, 52557, 51749, 51515, 51397, 51929, 51295, 51607, 51115, 51096, 50889, 52693, 51447, 54165, 51447, 53465, 51145, 62031, 52558, 50417, 59017, 51191, 50843, 54819, 51262, 50864, 53861, 59705, 50864, 51768, 50840, 52385, 50429, 51262, 50864, 51334, 61005, 55286, 51096, 50925, 51893, 72494, 52873, 57039, 50843, 55108, 54437, 51391, 51774, 51542, 51660, 51391, 51434, 51391, 51773, 51310, 50964, 51345, 51350, 51244, 53278, 51447, 52507, 51447, 53361, 51145, 51924, 51878, 57125, 50862, 54268, 68937, 68306, 71694, 56197, 59017, 54796, 54915, 51796, 51346, 77653, 65780, 68306, 50897, 54710, 67010, 58048, 50897, 51453, 50886, 55975, 59025, 68306, 50897, 75235, 51381, 54632, 51679, 51774, 51381, 52027, 51419, 51929, 51134, 51607, 51419, 52936, 50889, 53460, 51447, 52693, 51671, 54165, 51293, 62031, 52558, 50417, 58048, 63342, 54819, 51513, 50864, 53861, 50423, 60285, 63342, 50864, 51768, 50840, 52385, 50428, 58048, 77554, 52936, 50844, 51513, 55716, 55286, 51105, 50938, 68306, 68796, 52873, 57039, 50843, 55108, 52557, 51283, 51614, 51391, 51515, 51241, 51929, 51134, 51096, 51204, 51195, 51145, 52583, 51447, 57125, 50862, 54268, 50971, 51180, 56197, 50843, 54915, 60285, 50897, 77653, 50862, 54710, 68357, 58048, 57431, 51096, 56522, 57187, 68306, 63342, 50825, 76759, 51318, 52435, 51318, 51515, 51115, 51773, 51310, 51096, 51141, 54522, 51447, 52693, 51447, 54165, 51447, 53465, 51145, 62031, 52558, 50417, 65049, 51159, 50843, 54819, 51781, 50857, 51674, 51128, 51256, 50941, 51917, 51319, 53861, 59705, 50864, 51768, 50840, 52385, 50429, 56620, 50897, 51781, 50864, 51674, 51166, 51256, 50838, 51917, 52518, 50843, 55286, 51186, 57564, 52873, 71367, 65049, 50897, 64993, 55108, 55677, 51097, 52435, 50995, 51434, 51109, 51773, 50981, 51105, 51417, 56620, 69154, 51080, 55080, 51447, 52507, 51447, 53361, 51145, 51772, 51108, 51917, 51466, 51209, 51108, 57125, 50862, 54268, 50971, 51180, 59763, 59017, 51124, 59341, 54915, 51408, 50933, 77653, 58186, 51209, 57729, 55835, 56620, 51110, 51256, 54225, 57187, 51772, 52168, 72415, 50799, 68641, 51108, 54632, 51542, 51434, 51542, 51773, 50981, 52603, 50981, 51325, 51241, 53460, 51447, 54165, 51671, 53465, 51293, 51451, 51490, 53008, 51447, 62031, 52558, 53440, 54819, 59017, 51110, 51250, 50864, 53861, 59705, 50864 ]
[ 0, 250, 765, 53, 9066, 37903, 9, 3495, 3152, 930, 6, 5378, 16364, 19, 1007, 8, 11926, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 4246, 10, 881, 21263, 9, 5, 272, 119, 8, 12608, 401, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 51085, 58035, 53561, 51085, 51631, 51197, 58509, 51736, 51085, 58035, 51646, 51085, 58509, 53218, 51085, 52728, 50900, 51923, 51197, 58509, 50807, 53997, 52115, 51085, 59006, 52910, 51197, 51736, 51085, 56962, 52424, 51085, 51918, 51085, 55890, 53312, 51197, 58035, 50795, 53997, 58035, 53561, 51085, 51631, 51197, 58509, 51736, 51085, 58035, 51646, 51085, 58509, 53218, 51085, 52728, 50900, 51923, 51197, 58509, 50807, 53997, 52115, 51085, 59006, 52910, 51197, 51736, 51085, 56962, 52424, 51197, 51918, 51050, 56730, 51798, 51176, 54828, 51923, 51085, 58035, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 8787, 3495, 8, 3152, 24904, 2125, 6, 42, 15229, 30853, 23, 41, 178, 5285, 20889, 11, 163, 538, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 163, 119, 6, 274, 10431, 6, 381, 6, 211, 6, 8, 272, 4, 20, 13305, 8, 30587, 8669, 483, 5, 33301, 6, 7513, 30, 5, 21040, 2426, 6, 33704, 5675, 22052, 6, 8, 21072, 6, 2351, 10, 11739, 9, 15073, 8, 11098, 4, 590, 63, 2635, 2877, 8, 15352, 30054, 2574, 6, 5, 2214, 7630, 6568, 10, 1472, 9, 657, 1328, 63, 3112, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 53667, 51184, 51279, 51184, 50437, 51147, 52676, 50999, 51009, 55524, 60169, 77104, 50824, 51279, 51184, 51027, 51184, 55846, 51184, 56207, 52030, 50973, 52125, 51028, 52313, 51001, 54098, 50968, 50802, 55524, 68678, 77104, 50824, 51503, 51184, 51176, 51184, 57734, 51184, 62144, 53300, 50973, 52119, 51028, 52674, 51001, 52057, 50968, 52313, 51001, 52175, 51028, 52325, 50973, 50802, 57126, 60169, 77104, 50824, 51966, 51352, 51378, 51352, 62514, 51184, 71241, 57650, 52030, 50989, 64726, 52125, 50989, 67797, 52313, 50989, 69732, 54145, 51966, 50824, 51378, 54098, 50989, 57650, 50802, 55524, 61645, 50803, 51841, 51184, 51315, 51184, 62059, 69881, 50973, 50993, 56248, 64452, 52030, 50916, 57650, 52125, 50916, 64726, 52313, 50916, 57650, 52175, 50916, 64452, 52325, 50916, 57650, 50802, 55524, 60169, 77104, 50824, 51279, 51029, 51027, 51029, 55846, 51184, 56248, 60169, 77104, 53566, 51279, 74294, 53663, 50916, 60169, 70379, 53681, 51279, 74294, 54145, 50916, 60169, 73414, 54098, 51279, 62075, 50802, 62368, 51184, 51378, 51184, 62514, 51184, 71241, 53300, 50965, 52119, 50877, 52674, 50973, 52057, 51028, 52313, 50973, 52175, 50877, 52325, 50965, 50802, 55524, 61645, 50803, 51841, 51009, 51315, 51009, 62059, 69881, 50973, 59101, 50968, 52030, 50973, 53663, 51841, 51009, 51315, 57310, 50965, 52175, 50973, 52325, 50989, 50824, 60963, 51029, 51315, 51029, 62059, 61912, 50965, 52038, 50916, 53566, 51841, 50824, 51315, 53663, 50989, 53681, 51841, 50824, 51315, 54145, 50965, 54098, 51841, 50802, 51315, 50802, 55524, 60169, 77104, 50824, 51279, 51184, 51027, 51184, 55846, 51184, 56207, 53300, 50973, 52119, 51028, 52674, 51001, 52057, 50968, 52313, 51001, 52175, 51028, 52325, 51001, 50802, 55524, 69732, 50824, 51503, 51184, 51176, 51184, 62059, 51184, 57734, 51184, 62144, 62306, 52030, 50965, 67797, 52125, 50973, 52313, 50877, 52175, 50965, 52325, 50989, 50802, 57126, 60169, 77104, 50824, 51966, 51352, 51378, 51352, 62514, 51184, 71241, 57650, 52030, 50989, 64726, 52125, 50989, 57650, 67797, 52313, 50989, 69732, 54145, 51966, 50824, 51378, 54098, 50989, 63217, 52937, 50965, 50803, 57190, 79706, 51009, 51315, 51009, 62059, 61912, 50973, 52038, 50916, 64452, 64726, 61537, 52030, 50916, 68678, 53663, 51841, 51029, 51315, 62001, 50916, 64726, 52175, 50916, 50824, 50989, 54098, 51841, 50824, 51315, 50824, 55524, 68678, 50824, 62059, 61912, 51841, 50824, 51315, 54107, 50916, 60169, 53566, 51841, 50824, 51315, 53663, 50916, 50824, 50989, 53681, 51841, 50824, 51315, 54145, 50916, 68678, 54098, 51841, 50802, 51315, 50802, 60963, 51184, 51315, 51184, 51086, 51184, 50916, 51184, 50965, 51184, 53550, 50823, 54141, 53798, 50798, 55552, 50798, 52884, 69582, 55524, 68678, 77104, 50824, 51279, 51029, 51027, 51029, 55846, 76796, 52968, 50916, 68678, 77104, 55671, 52726, 51279, 74294, 50824, 51873, 52599, 50916, 68678, 77104, 50824, 51873, 59561, 52940, 51279, 74294, 50824, 53094, 52741, 50916, 68678, 77104, 55671, 52884, 51503, 50802, 51176, 50802, 52330, 50808, 55524, 68678, 77104, 50824, 51966, 51029, 51378, 51029, 62514, 51184, 52330, 59561, 53213, 53094, 52450, 50916, 68678, 77104, 55671, 52726, 51966, 50824, 51378, 50824, 51873, 52599, 50916, 68678, 77104, 50824, 51873, 59561, 52940, 51966, 50824, 51378, 50824, 53094, 55082, 50916, 68678, 77104, 55671, 52884, 51966, 50802, 51378, 50802, 53438, 50805, 57542, 62195, 68678, 50824, 51841, 51029, 51315, 51029, 62059, 51184, 52619, 51264, 50832, 52968, 51086, 62195, 68678, 55671, 52726, 51841, 50824, 51315, 53663, 51086, 62195, 60169, 50824, 62059, 76796, 52940, 51841, 50824, 51315, 54145, 51086, 62195, 60169, 55671, 52884, 51841, 50802, 51315, 50802, 57542, 62195, 68678, 50824, 51841, 51029, 51315, 51029, 62059, 51184, 50832, 52968, 51086, 62195, 68678, 55671, 52726, 51841, 50824, 51315, 53663, 51086, 62195, 50824, 50989, 53694, 55466, 52940, 51841, 50824, 51315, 53694, 53798, 51086, 62195, 52299, 52084, 55552, 50798, 52884, 51841, 50802, 51315, 51599, 50811, 55524, 68678, 77104, 50824, 51279, 51029, 51027, 51029, 55846, 76796, 52968, 50916, 68678, 77104, 55671, 52726, 51279, 74294, 50824, 51873, 52599, 50916, 68678, 70379, 50824, 51873, 59561, 52940, 51279, 74294, 50824, 53094, 52741, 50916, 68678, 73414, 55671, 52884, 51503, 50802, 51176, 50802, 52330, 50808, 55524, 68678, 77104, 50824, 51966, 51029, 51378, 51029, 62514, 51184, 52330, 59561, 53213, 53094, 52450, 50916, 68678, 77104, 55671, 52726, 51966, 50824, 51378, 50824, 52083, 50811, 51873, 53263, 52083, 52952, 50916, 68678, 69732, 50824, 52083, 50823, 51873, 59561, 52940, 51966, 50824, 51378, 50824, 52251, 50975, 53094, 55082, 50916, 60169, 55671, 52884, 51966, 50802, 51378, 50802, 52156, 50823, 53438, 50805, 60963, 50824, 51315, 50824, 51086, 62195, 68678, 50824, 62059, 51184, 52251, 51407, 52619, 51264, 50832, 52968, 51086, 51009, 50916, 51009, 50965, 76796, 52726, 51841, 50802, 51315, 52125, 51841, 51009, 51315, 51009, 62059, 76796, 52940, 51086, 60973, 64452, 52175, 51086, 60973, 57650, 54132, 52884, 51086, 60973, 69073, 50802, 52251, 54871, 52083, 50811, 57542, 62195, 68678, 50824, 51841, 51184, 51315, 51184, 62059, 51184, 51789, 51407, 50832, 52968, 51086, 62195, 68678, 55671, 52952, 51086, 62195, 50824, 50989, 53694, 55466, 52940, 50804, 53798, 51086, 62195, 52299, 52084, 55552, 50798, 52884, 52202, 51670, 54871, 52671, 50811, 57346, 62195, 68678, 74294, 51184, 55846, 51184, 52671, 51407, 50832, 52968, 51040, 62195, 68678, 50824, 55625, 51880, 54935, 53195, 60493, 51873, 52599, 51040, 62195, 68678, 50824, 54825, 50803, 51873, 59561, 55092, 53195, 52313, 53094, 53668, 54825, 52175, 51040, 62195, 68678, 55671, 55552, 56267, 61828, 52330, 50808, 57346, 62195, 68678, 50824, 51378, 51184, 53195, 50803, 62514, 51184, 52330, 59561, 55804, 55493, 52244, 55625, 50802, 53094, 52450, 51040, 62195, 68678, 55671, 52726, 55625, 50803, 51873, 53263, 55625, 52057, 51040, 62195, 68678, 50824, 56267, 50802, 51873, 59561, 52940, 56267, 50803, 53094, 50889, 50447, 54825, 58348, 51040, 62195, 68678, 55671, 52884, 56267, 50803, 53438, 51654, 54871, 53195, 51732, 69582, 57542, 62195, 50824, 51315, 51732, 58373, 51009, 55493, 51009, 62059, 51184, 52619, 61113, 52084, 52968, 51086, 62195, 55671, 52952, 51086, 62195, 50824, 54182, 51009, 62059, 67670, 52084, 52768, 51086, 62195, 55671, 50811, 57542, 62195, 50824, 58373, 51009, 62059, 51184, 50832, 52968, 51086, 62195, 55671, 52952, 51086, 62195, 50824, 63293, 62066, 55466, 52940, 50804, 53798, 51086, 62195, 52299, 52084, 55552, 50798, 52884, 61384, 51599, 50811, 57346, 62195, 68678, 74294, 51184, 55846, 51184, 50832, 52968, 51040, 62195, 68678, 55671, 52726, 51873, 53263, 53195, 52057, 51040, 62195, 68678, 50824, 59245, 50802, 51873, 59561, 52940, 56647, 50803, 53094, 53668, 53429, 52175, 51040, 62195, 68678, 55671, 55552, 56267, 52325, 52330, 53848, 56267, 50824, 57346, 62195, 68678, 74294, 51184, 62514, 51184, 52330, 59561, 53213, 54825, 50802, 53094, 52450, 51040, 62195, 68678, 55671, 52726, 54825, 50803, 51873, 53263, 54825, 52057, 51040, 62195, 68678, 50824, 53429, 50802, 51873, 59561, 52940, 56267, 50802, 53094, 55082, 51040, 62195, 68678, 50824, 54825, 54132, 52884, 56267, 50803, 53438, 51654, 54871, 53195, 51732 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 19834, 6, 4246, 10, 13305, 8, 24896, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 6711, 16, 12365, 13, 10, 822, 6, 7630, 14805, 6453, 9, 26545, 6, 11098, 6, 8, 11926, 19, 10, 2842, 9, 9884, 4, 20, 33215, 16739, 9, 163, 428, 406, 6, 12608, 6, 8, 163, 428, 17992, 7, 5, 1374, 13569, 9862, 9, 42, 2214, 12, 16096, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 58526, 51535, 50418, 50956, 51878, 50422, 50965, 51381, 56546, 50915, 50435, 51197, 52691, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 51028, 50915, 50459, 66041, 53975, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 51197, 52691, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 54942, 51312, 51028, 50915, 50459, 66041, 50799, 53664, 51397, 51176, 51535, 50418, 50956, 51878, 50422, 50965, 51381, 56546, 50915, 50435, 53664, 50844, 51197, 52691, 54324, 51448, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 51028, 50915, 50459, 54324, 50844, 51197, 50874, 50799, 54467, 51397, 50900, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 53664, 50844, 51085, 52691, 52756, 51448, 51360, 51535, 50442, 50871, 51878, 50446, 50965, 71320, 50931, 50915, 50459, 52756, 50844, 51040, 50822, 50799, 54324, 51397, 50900, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 59018, 50844, 51085, 52691, 59018, 52169, 50297, 51535, 50442, 51040, 51878, 50444, 59018, 69262, 50965, 75589, 53664, 51233, 50876, 51412, 50459, 54942, 50844, 51234, 50874, 66768, 50799, 54942, 51047, 51197, 51318, 50418, 50956, 52168, 64309, 51680, 60564, 51047, 50430, 51026, 61782, 50997, 60676, 51040, 59124, 61143, 51312, 50799, 53664, 51397, 51176, 51535, 50418, 50956, 51878, 50422, 50965, 51381, 56546, 50915, 50435, 53664, 50822, 51503, 52691, 53200, 51448, 51214, 51535, 50442, 50871, 51878, 67655, 71320, 50973, 50915, 50459, 53200, 50822, 51026, 50822, 50799, 54324, 51397, 50900, 51535, 50418, 50956, 51878, 64309, 51381, 56546, 50915, 50435, 54324, 50822, 51085, 52691, 52756, 51448, 51234, 51535, 50442, 50871, 51878, 76495, 52989, 50965, 60473, 50915, 50459, 52817, 50822, 76339, 50799, 54467, 51115, 51086, 51148, 50418, 50956, 51642, 50422, 50965, 69790, 51001, 57648, 54467, 54137, 52817, 51568, 50302, 52363, 50319, 64328, 59388, 54324, 54323, 52817, 51233, 51234, 64569, 57348, 70358, 70395, 52756, 50822, 50799, 54324, 51047, 51197, 50978, 50418, 51026, 65023, 50997, 53881, 50956, 50905, 79580, 61782, 50906, 54123, 51001, 50981, 50799, 54324, 72225, 51142, 72251, 80260, 50418, 50956, 50907, 64444, 64920, 50422, 50956, 50907, 64444, 51028, 53220, 52756, 51194, 50956, 50907, 64444, 59950, 79471, 50907, 64444, 51028, 63163, 50956, 50907, 64444, 51028, 55270, 54324, 54181, 54324, 51127, 52046, 68925, 51142, 72251, 51028, 70430, 51214, 72889, 50907, 64444, 51028, 62407, 51234, 72889, 50907, 64444, 51028, 53567, 50956, 50907, 64444, 59950, 51197, 71820, 50956, 50907, 64444, 51028, 64479, 50956, 50907, 59950, 63207, 50799, 54324, 65227, 51142, 50965, 51142, 66374, 50418, 50956, 50907, 50965, 50907, 60714, 50422, 50956, 50907, 50965, 50907, 60714, 50425, 52817, 52524, 52756, 51255, 50956, 50907, 50965, 50907, 57947, 79471, 50907, 50965, 50907, 60714, 50434, 50956, 50907, 50965, 50907, 50876, 55270, 54324, 54181, 54324, 51218, 51503, 68925, 51142, 50965, 51142, 64304, 50442, 51085, 72889, 50907, 50965, 50907, 60714, 50446, 51197, 72889, 50907, 50965, 50907, 50876, 53567, 50956, 50907, 50965, 50907, 57947, 51176, 50905, 50454, 50956, 50907, 50965, 50907, 50876, 54622, 54324, 77568, 50965, 50907, 57947, 50956, 51210, 50799, 54467, 51218, 51247, 50874, 50965, 51210, 64041, 51001, 50933, 50418, 51503, 64397, 50907, 65996, 51001, 64560, 51085, 64397, 50912, 67030, 51001, 52580, 50965, 50912, 67030, 72643, 51050, 50892, 50430, 67364, 60714, 51001, 54221, 52817, 73308, 67364, 65559, 50876, 58946, 52756, 51458, 50290, 61858, 51210, 50965, 51210, 50902, 70430, 51120, 62464, 50907, 50965, 50907, 50902, 54478, 54942, 50977, 50446, 51050, 62154, 50984, 79944, 50902, 53567, 52756, 51194, 63227, 79944, 69017, 50997, 50974, 50454, 70795, 50965, 51123, 69017, 50458, 60989, 50871, 51524, 50965, 51524, 50459, 52817, 50854, 50799, 54324, 51127, 51197, 77964, 51806, 50861, 51806, 51001, 51380, 50418, 51026, 51051, 66345, 54325, 51040, 50905, 50430, 57956, 50434, 50956, 54123, 51197, 50978, 50442, 51026, 63251, 50997, 54385, 51040, 50905, 50454, 50916, 65628, 54324, 67074, 50956, 50912, 50799, 54324, 51364, 50956, 51142, 50965, 51142, 73556, 51176, 51148, 50418, 50956, 50907, 50965, 50907, 60714, 50422, 50956, 50907, 50965, 50907, 50876, 53220, 50956, 50907, 50965, 50907, 57947, 79471, 50907, 50965, 50907, 50876, 54150, 54467, 57775, 50956, 50907, 50965, 50907, 50876, 52788, 54467, 51364, 50956, 51142, 50965, 51142, 51001, 51008, 50900, 51244, 50442, 50956, 50907, 50965, 50907, 51001, 62407, 50965, 50907, 67108, 50956, 51210, 59758, 50907, 50965, 50907, 63268, 50454, 77559, 50965, 50907, 50968, 54622, 54467, 67074, 50965, 50907, 57910, 65471, 50799, 54467, 51364, 69119, 50965, 51142, 51028, 51142, 72310, 51040, 51313, 50418, 67558, 50965, 50907, 51028, 50907, 66735, 63714, 50907, 50965, 50907, 51028, 50907, 50931, 52580, 67558, 50965, 50907, 68573, 50430, 67558, 50965, 50907, 50906, 54150, 54942, 57775, 67558, 50965, 50907, 50906, 53269, 54942, 51472, 69119, 50965, 51142, 67695, 50442, 67558, 50965, 50907, 50906, 62407, 67558, 50965, 50907, 50906, 53567, 67558, 50965, 50907, 61801, 50454, 67558, 50965, 50907, 63613, 50458, 50965, 50907, 61801, 68274, 50459, 54942, 50800, 50799, 53664, 51472, 50965, 51142, 66374, 50956, 51148, 50418, 50965, 50907, 60714, 50422, 50965, 50907, 50876, 53220, 50965, 50907, 57947, 50430, 50965, 50907, 60714, 50434, 50965, 50907, 50876, 53720, 53664, 51724, 55667, 51336, 50965, 51142, 80260, 71698, 50442, 50965, 50907, 51028, 62407, 50965, 50907, 51028, 53567, 50965, 50907, 59950, 50454, 50965, 50907, 51028, 64479, 50965, 50907, 59950, 50799, 53200, 51472, 50965, 51210, 50973, 51210, 76884, 50916, 51148, 50418, 50965, 50907, 50973, 50907, 58254, 50422, 50965, 50912, 69550, 50902, 53881, 67364, 64542, 60158, 50430, 67364, 64542, 59139, 50434, 62094, 63009, 50973, 65153, 53200, 51724, 54324, 51472, 50965, 51008, 73556, 70647, 50956, 51047, 50442, 70226, 61524, 51001, 58638, 78675, 59855, 51001, 52843, 78675, 59855, 51001, 68681, 50965, 50844, 60215, 51001, 63569, 50965, 50810, 64341, 59725, 50459, 54324, 50800, 50799, 52756, 51356, 50899, 52530, 50312, 60939, 59351, 50896, 50799, 54942, 51047, 50965, 51244, 50906, 51183, 50956, 53413, 50438, 55667, 51448, 50861, 51749, 51028, 51397, 51197, 51148, 50799, 53664, 51397, 50965, 51749, 50876, 51562, 51176, 77307, 50876, 66985, 51619, 50324, 50995, 62856, 51145, 50876, 51148, 50902, 60934, 50906, 52363, 50319, 53130, 50323, 58262, 50965, 63211, 60473, 60700, 50915, 56229, 51145, 70330, 50973, 75657, 60934, 50965, 57800, 50316, 63684, 50319, 51470, 56279, 68470, 52845, 50315, 52845, 50321, 50932, 55694, 51244, 50965, 51490, 50956, 56235, 50438, 51028, 51244, 51197, 67835, 51490, 77575, 52140, 50965, 52916, 50876, 51592, 52274, 63355, 51619, 50300, 51535, 50418, 50956, 51878, 64309, 55656, 51431, 51233, 50965, 58327, 50915, 50435, 51431, 50822, 51197, 52691, 51641, 51448, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 51028, 50915, 50459, 51641, 50822, 51197, 50874, 50799, 52264, 51397, 50900, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 51431, 50822, 51085, 52691, 51509, 51448, 51360, 51535, 50442, 50871, 51878, 50446, 50965, 71320, 50931 ]
[ 0, 250, 2933, 8, 15352, 30054, 3152, 8, 5175, 2214, 19, 10, 2635, 20889, 9, 7004, 741, 1685, 11, 132, 73, 306, 86, 6543, 4, 20, 6755, 12547, 6, 30587, 8669, 6, 6168, 3540, 6, 38668, 483, 6, 8, 21072, 1045, 41, 9066, 8, 980, 219, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 1349, 1575, 10, 33215, 13931, 9, 211, 6, 381, 6, 83, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50625, 50420, 52117, 52483, 52117, 52605, 53134, 50889, 50799, 61107, 67729, 52117, 50889, 52043, 52450, 52043, 52559, 53134, 50889, 62423, 51623, 51440, 52599, 51660, 52711, 52117, 50805, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 52408, 50889, 51660, 50808, 52043, 50808, 50799, 64451, 51141, 51660, 50808, 52043, 52734, 52408, 50889, 51440, 52450, 51660, 52559, 53638, 50805, 50732, 50276, 51623, 51660, 50808, 51669, 52599, 51660, 50808, 51669, 52711, 52117, 50805, 51660, 50808, 52043, 52741, 52117, 50805, 51660, 50808, 52043, 52643, 53134, 50889, 51660, 50808, 51434, 50808, 50799, 61107, 51141, 51669, 52734, 52117, 50889, 52043, 52450, 52043, 52559, 53134, 50889, 62423, 51623, 51440, 52599, 51660, 52711, 52117, 50805, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 52408, 50889, 51660, 50808, 52043, 50808, 50799, 64451, 51141, 51660, 50808, 52043, 52734, 52408, 50889, 51440, 52450, 51660, 52559, 58203, 51141, 53638, 51141, 51660, 50808, 51669, 52599, 51660, 50808, 51669, 52711, 51660, 50808, 52043, 52741, 50732, 50275, 50889, 51660, 50808, 52043, 52643, 51660, 50808, 51434, 50808, 50799, 69291, 75121, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 69291, 75121, 52043, 52450, 52043, 52559, 69291, 75121, 51440, 50808, 52371, 51623, 51883, 51623, 51251, 51623, 51301, 51623, 51113, 77787, 69291, 75121, 51660, 52711, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 51660, 50808, 52043, 50808, 50799, 69291, 75121, 51660, 50808, 52043, 50808, 51699, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 69291, 75121, 51440, 52450, 51660, 52559, 69291, 75121, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 77787, 69291, 75121, 51660, 50808, 51669, 52711, 51660, 50808, 52043, 52741, 51660, 50808, 52043, 52643, 51660, 50808, 51434, 50808, 50799, 69291, 75121, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 69291, 75121, 52043, 52450, 52043, 52559, 69291, 75121, 51440, 50808, 51883, 51623, 51299, 51623, 51154, 51623, 51113, 77787, 69291, 75121, 51660, 52711, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 51660, 50808, 52043, 50808, 50799, 69291, 75121, 51660, 50808, 52043, 50808, 52143, 51141, 52830, 51141, 51699, 51141, 51299, 51141, 51301, 67729, 69291, 75121, 51440, 52450, 51660, 52559, 69291, 75121, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 51623, 51088, 77787, 69291, 75121, 51660, 50808, 51669, 52711, 51660, 50808, 52043, 52741, 51660, 50808, 52043, 52643, 51660, 50808, 51434, 50808, 53285, 51141, 53638, 57394, 60105, 50889, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 52043, 50808, 51694, 52472, 50889, 52043, 52559, 50927, 51623, 52117, 57394, 50805, 51440, 50808, 52371, 51623, 51883, 51623, 51251, 51623, 51301, 51623, 51113, 77787, 50852, 50889, 51660, 50808, 52129, 50805, 51660, 50808, 51669, 50808, 51899, 55633, 50889, 51660, 50808, 51669, 52643, 52408, 50805, 51660, 50808, 52043, 50808, 52534, 51141, 52117, 59103, 55633, 50889, 51660, 50808, 52043, 50808, 51699, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 51440, 53184, 53134, 51116, 51694, 52472, 50889, 51660, 52559, 51443, 51623, 53638, 58689, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 77787, 50852, 50889, 51660, 50808, 51669, 52711, 53638, 58689, 51660, 50808, 52043, 52741, 52276, 71177, 50889, 51660, 50808, 52043, 52643, 53638, 51141, 51660, 50808, 51434, 50808, 53285, 57394, 55633, 50889, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 52043, 52450, 52276, 64588, 50889, 52043, 52559, 50927, 51623, 52412, 53769, 50805, 51440, 50808, 51883, 51623, 51299, 51623, 51154, 51623, 51113, 77787, 50852, 50889, 51660, 52711, 52276, 58689, 51660, 50808, 51669, 52741, 53638, 71177, 50889, 51660, 50808, 51669, 52643, 52987, 51077, 51660, 50808, 52043, 50808, 52534, 57394, 55633, 50889, 51660, 50808, 52043, 50808, 52143, 51141, 52830, 51141, 51699, 51141, 51299, 51141, 51301, 67729, 51440, 50808, 51694, 52472, 50889, 51660, 52559, 51443, 51623, 53638, 53769, 50805, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 51623, 51088, 77787, 50852, 50889, 51660, 50808, 51669, 50808, 52129, 50805, 51660, 50808, 52043, 50808, 51899, 52472, 50889, 51660, 50808, 52043, 52643, 50816, 50808, 51660, 50808, 51434, 50808, 53206, 50808, 50799, 69291, 51069, 51141, 53638, 57394, 60105, 50889, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51284, 53090, 50420, 69291, 52043, 50808, 51694, 52472, 50889, 52043, 52559, 69291, 50927, 51623, 52117, 57394, 50805, 51440, 50808, 52371, 51623, 51883, 51623, 51251, 51623, 51301, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 50808, 52129, 50805, 51660, 50808, 51669, 50808, 51899, 55633, 50889, 51660, 50808, 51669, 52643, 52408, 50805, 51660, 50808, 52043, 50808, 50799, 69291, 50964, 51141, 52117, 59103, 55633, 50889, 51660, 50808, 52043, 50808, 51699, 51141, 51299, 51141, 51301, 67729, 69291, 51440, 53184, 52452, 51116, 51694, 52472, 50889, 51660, 52559, 69291, 51443, 51623, 53134, 58689, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 50808, 51669, 52711, 52117, 58689, 51660, 50808, 52043, 52741, 53134, 71177, 50889, 51660, 50808, 52043, 52643, 52408, 50889, 51660, 50808, 51434, 50808, 50799, 69291, 51069, 57394, 55633, 50889, 51669, 50808, 51113, 51141, 51093, 51141, 51266, 51141, 51304, 67729, 69291, 52117, 50805, 52043, 52450, 53134, 64588, 50889, 52043, 52559, 69291, 50927, 51623, 52408, 53769, 50805, 51440, 50808, 52371, 51623, 51113, 51623, 51107, 51623, 51266, 51623, 51384, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 52711, 52117, 58689, 51660, 50808, 51669, 52741, 53134, 71177, 50889, 51660, 50808, 51669, 52643, 52408, 50889, 51660, 50808, 52043, 50808, 50799, 69291, 50964, 57394, 55633, 50889, 51660, 50808, 52043, 50808, 52143, 51141, 52830, 51141, 51088, 51264, 51266, 51141, 51266, 51141, 51733, 67729, 69291, 52117, 50805, 51440, 52450, 53134, 64588, 50889, 51660, 52559, 69291, 51443, 51623, 52408, 76270, 50805, 51660, 50808, 51669, 50808, 52776, 51623, 52371, 51623, 51182, 51623, 51384, 51623, 51926, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 50808, 51669, 52711, 50816, 50805, 51660, 50808, 52043, 52741, 55281, 54633, 51046, 64588, 50889, 51660, 50808, 52043, 52643, 54737, 55427, 51046, 52704, 50808, 51660, 50808, 51434, 53848, 54737, 55427, 51046, 52704, 50808, 60652, 51141, 51278, 51141, 51046, 51141, 51288, 51141, 51323, 51141, 51069, 57394, 69672, 51669, 50808, 51113, 51141, 51093, 51141, 51266, 51141, 51733, 51141, 52906, 50805, 52043, 50808, 51694, 56151, 52043, 52559, 51211, 51077, 51155, 51623, 51046, 51623, 51075, 51623, 51245, 51077, 50927, 76270, 56151, 51440, 50808, 51113, 51623, 51107, 51623, 51266, 51623, 51304, 77787, 50852, 50805, 51660, 50808, 52129, 56151, 51660, 50808, 51669, 50808, 51899, 56151, 51660, 50808, 51669, 52643, 56481, 75358, 52408, 56151, 51660, 50808, 52043, 53848, 51288, 50844, 51323, 50844, 65409, 51141, 51063, 51141, 51143, 51141, 51219, 51141, 51404, 51141, 50964, 51141 ]
[ 0, 250, 182, 765, 37903, 9, 5175, 930, 19, 10, 822, 12, 3341, 5466, 6, 4246, 10, 19448, 8, 15352, 30054, 16464, 6, 278, 11, 163, 3694, 19, 10, 7212, 20889, 8, 3185, 30, 10, 2007, 12638, 1451, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50798, 62262, 62262, 62262, 62262, 62262, 62262, 58094, 51179, 51759, 52586, 76275, 55498, 50415, 50804, 62348, 53796, 51695, 54726, 53708, 53708, 76275, 51759, 55498, 63311, 60642, 50837, 54519, 57282, 55536, 55536, 55536, 54835, 56533, 62653, 56450, 56450, 56533, 56533, 56533, 54946, 54946, 55630, 55630, 54640, 53816, 53833, 54119, 54357, 50883, 57493, 55536, 59500, 59500, 59500, 56450, 56450, 56450, 56533, 57526, 57526, 53434, 54119, 59976, 50419, 50804, 55536, 54835, 54499, 52538, 59500, 56450, 53023, 50804, 55018, 54617, 53784, 53966, 53966, 53966, 54131, 54212, 52572, 53683, 54382, 51239, 59043, 50804, 54839, 54528, 54518, 54617, 54382, 54946, 77608, 53951, 55536, 54839, 53802, 54528, 55018, 53396, 54946, 56061, 50835, 53327, 55536, 55536, 55536, 54835, 54835, 56450, 62653, 62653, 56533, 56533, 56533, 56533, 50863, 57453, 57282, 54835, 54835, 54538, 56533, 59500, 56450, 56533, 54946, 54946, 54946, 54946, 55164, 50835, 57363, 52465, 51539, 51464, 50828, 51302, 56870, 51139, 51833, 51750, 73266, 51467, 51187, 51187, 51044, 51041, 57901, 50834, 59493, 56870, 53802, 54518, 54866, 53989, 54013, 50804, 56870, 57282, 55536, 55536, 55536, 53802, 53802, 53802, 55018, 53989, 61591, 61591, 60818, 60818, 60818, 60818, 62653, 53754, 53683, 53683, 54473, 56561, 68460, 51320, 51833, 51750, 73266, 53063, 51320, 51833, 51833, 51437, 51187, 51135, 51041, 51130, 53732, 55498, 50433, 50816, 56502, 56446, 50798, 52220, 51695, 54487, 50798, 62262, 62262, 62262, 62262, 62262, 51463, 56533, 56454, 50834, 55935, 54563, 56359, 50804, 52348, 52896, 50804, 53966, 51044, 51916, 51916, 51916, 51833, 51833, 51833, 55147, 57512, 50804, 54087, 52465, 52223, 50837, 60409, 56870, 54538, 56061, 56450, 56450, 50820, 53012, 57282, 55536, 55536, 54538, 54839, 54528, 53784, 54131, 54192, 61591, 60818, 60818, 62653, 62653, 59500, 54382, 58888, 50834, 55258, 54538, 54946, 68211, 51320, 51833, 51833, 51750, 51750, 51464, 64849, 51833, 51464, 51437, 51437, 51437, 51467, 51406, 51239, 52942, 64734, 55094, 60260, 62262, 75767, 62653, 53528, 50798, 62262, 62262, 75767, 59361, 55094, 57048, 57282, 54617, 53893, 52050, 60818, 51239, 65529, 55019, 50982, 51382, 56870, 55018, 52572, 54192, 60818, 60818, 62653, 59500, 51041, 57979, 68002, 76213, 50388, 51985, 57167, 56721, 51326, 50817, 57857, 55536, 53412, 50825, 53061, 74556, 63841, 55255, 52885, 57583, 50804, 53966, 51392, 51833, 53217, 50804, 63841, 70522, 76213, 50817, 54124, 61591, 50870, 52198, 54946, 60818, 56772, 50798, 55498, 51528, 52220, 58094, 58487, 50852, 55498, 50416, 50816, 62716, 50816, 56450, 56454, 60461, 50816, 62653, 58810, 53944, 61132, 50804, 53500, 56450, 53738, 50804, 54617, 53784, 51467, 59891, 51468, 53951, 54839, 53831, 54951, 50816, 59500, 56450, 56450, 60548, 50816, 59500, 60931, 50816, 52348, 50961, 51694, 51467, 56973, 50791, 50817, 59493, 59500, 54946, 50884, 54321, 56870, 54844, 62653, 62171, 51287, 50797, 80029, 52223, 51750, 56565, 50798, 53785, 50798, 62262, 57776, 57974, 51248, 50797, 58751, 51842, 60409, 53500, 50367, 51367, 50829, 53012, 62348, 56870, 52538, 62653, 54946, 58829, 58005, 51180, 51833, 51406, 50883, 60260, 52220, 53851, 55094, 50448, 55094, 57048, 60818, 53889, 50961, 51382, 57282, 53893, 52050, 76298, 52885, 50829, 51453, 50837, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 16, 10, 20902, 15229, 14, 18, 686, 7, 5258, 110, 11656, 4, 590, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 3185, 30, 5, 3222, 5785, 9, 2382, 3459, 8, 21979, 29589, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 3459, 9590, 4, 20, 2370, 21305, 3639, 10, 2216, 15352, 30054, 2842, 7, 5, 9804, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 230, 6, 381, 6, 8, 1918, 6, 8216, 7, 63, 14899, 8, 33558, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 68266, 64691, 51083, 54278, 51023, 69558, 51083, 54014, 51020, 75115, 51083, 54356, 51023, 77948, 78579, 50799, 51061, 51109, 50420, 51083, 54278, 51023, 69558, 51083, 54014, 51089, 75115, 51083, 54356, 51282, 54752, 78579, 68266, 64691, 51083, 54278, 51023, 69558, 51083, 54014, 51020, 75115, 51083, 54356, 51023, 77948, 78579, 50799, 51061, 51109, 50420, 51083, 54278, 51023, 69558, 51083, 54014, 51089, 75115, 51083, 54356, 51282, 54752, 78579, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 62655, 51115, 51763, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 60285, 51115, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 62655, 51025, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 50866, 51020, 51109, 51439, 75115, 62655, 51025, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 65166, 51109, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 62655, 51025, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 58267, 51115, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 62655, 51115, 51763, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 60285, 51115, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 62655, 51025, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 50866, 51020, 51109, 51439, 75115, 62655, 51025, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 65166, 51109, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 62655, 51025, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 58267, 51115, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 67544, 51025, 52124, 51151, 50946, 64691, 51282, 57588, 54278, 50720, 50301, 50866, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51020, 51109, 51439, 75115, 50720, 50301, 51115, 51282, 57588, 54356, 51023, 51109, 51649, 77948, 51282, 57588, 50866, 50799, 50720, 50301, 50866, 51061, 51109, 51257, 51109, 50420, 50720, 50301, 51025, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51089, 51109, 51149, 75115, 50720, 50301, 51025, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 67544, 51025, 52124, 51151, 50946, 64691, 51282, 57588, 54278, 50720, 50301, 50866, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51020, 51109, 51439, 75115, 50720, 50301, 51025, 51282, 57588, 54356, 51023, 51109, 51649, 77948, 50720, 50301, 51109, 51282, 57588, 50866, 50799, 51061, 51109, 51257, 51109, 50420, 50720, 50301, 51025, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51089, 51109, 51149, 75115, 78531, 50866, 78579, 51007, 54356, 50720, 50301, 51025, 51282, 57588, 54752, 51282, 57588, 50866, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 62655, 50866, 51282, 57588, 54752, 60285, 51717, 78579, 69776, 66844, 51151, 50872, 51151, 50945, 53295, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866, 50909, 54014, 51020, 51109, 51439, 75115, 51118, 50866, 50909, 54356, 51023, 51109, 51649, 77948, 51118, 50866, 60395, 50799, 51061, 51109, 51257, 51109, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866, 50909, 54014, 51089, 51109, 51149, 75115, 51118, 50866, 50909, 54356, 51282, 57588, 54752, 65166, 53295, 51118, 50866, 60395, 50799, 51815, 51151, 50868, 51151, 51069, 53295, 50420, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 51282, 57588, 54014, 51020, 51109, 51439, 75115, 51282, 57588, 54356, 51023, 51109, 51649, 77948, 51282, 57588, 50866, 50799, 51061, 51109, 51257, 51109, 50420, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 51282, 57588, 54014, 51089, 51109, 51149, 75115, 51282, 57588, 54356, 62655, 50866, 51282, 57588, 54752, 58267, 51717, 51061, 50866, 51257, 50866, 68266, 51151, 50848, 51151, 50927, 52644, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 50866, 51011, 58761, 78579, 69776, 68266, 51151, 50848, 51151, 50927, 52644, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 62655, 50866, 51282, 57588, 50866, 51011, 54752, 60285, 51717, 78579, 69776, 50953, 50866, 66844, 51151, 50872, 51151, 50945, 53295, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866, 50909, 54014, 51020, 51109, 51439, 75115, 51118, 50866, 50909, 54356, 51023, 51109, 51649, 77948, 51118, 50866, 60395, 50799, 51061, 51109, 51257, 51109, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2125, 6, 42, 765, 2214, 1575, 10, 18558, 6, 13305, 6, 38668, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 428, 73, 347, 6, 230, 6, 1918, 6, 3676, 406, 6, 8, 272, 3639, 7, 63, 980, 219, 6, 19448, 5466, 326, 25963, 19, 10, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 51607, 52256, 52327, 67366, 54225, 64936, 52807, 51134, 51039, 50827, 51302, 54225, 52739, 51607, 51253, 50801, 54225, 50827, 51658, 54225, 53086, 52327, 66741, 52989, 52807, 64210, 54225, 50827, 51453, 61243, 51773, 51330, 50799, 52603, 68108, 54225, 64936, 52257, 51097, 51039, 52580, 52807, 56873, 54225, 52739, 52257, 51377, 50801, 54225, 50827, 51658, 54225, 53086, 52327, 60596, 52989, 52603, 54172, 54225, 50827, 51453, 61243, 51607, 51961, 50799, 52327, 64286, 54225, 64936, 52807, 51115, 51039, 50827, 51302, 54225, 52739, 51607, 51411, 50801, 54225, 50827, 51658, 54225, 53086, 52257, 52839, 52989, 52807, 51907, 54225, 50827, 51453, 61243, 52603, 51391, 50799, 52257, 67839, 54225, 64936, 54258, 51134, 51039, 50827, 51302, 54225, 52739, 52257, 59250, 54225, 50827, 51658, 54225, 53086, 52327, 60596, 52989, 52603, 50833, 51416, 55506, 54225, 50827, 51453, 61243, 51607, 52256, 50799, 52327, 51218, 51132, 51538, 50801, 54225, 64936, 52807, 51351, 51039, 50827, 51302, 54225, 52739, 51607, 67487, 54225, 50827, 51658, 54225, 53086, 52257, 76193, 52989, 52807, 50808, 51132, 58006, 54225, 50827, 51453, 61243, 51773, 51108, 50799, 52603, 51097, 52584, 51933, 50801, 54225, 64936, 52257, 50981, 51039, 52580, 52807, 53119, 54225, 52739, 52257, 70298, 54225, 50827, 51658, 54225, 53086, 52327, 62806, 52989, 52603, 50833, 52584, 58006, 54225, 50827, 51453, 50827, 50799, 51773, 51318, 51669, 51310, 52327, 51189, 51526, 69613, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 51115, 51607, 51115, 52043, 51141, 51349, 67607, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51434, 50981, 51773, 50981, 51669, 50915, 51137, 78275, 54225, 50827, 51453, 50827, 72721, 51945, 51440, 51945, 51607, 51714, 51132, 53435, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 50801, 54225, 50827, 51658, 54225, 50827, 51180, 50827, 51382, 54225, 50827, 51453, 61243, 51515, 51318, 73471, 51318, 51132, 51933, 50801, 54225, 64936, 51607, 51637, 50420, 52792, 56022, 52580, 53755, 57978, 54225, 52739, 51515, 51204, 54102, 51486, 50801, 54225, 50827, 51658, 54225, 53086, 51440, 72705, 52989, 51607, 50915, 51132, 55506, 54225, 50827, 51453, 61243, 51434, 51310, 50799, 51773, 51318, 52584, 51896, 50801, 54225, 64936, 52603, 71215, 52792, 54260, 52580, 53755, 58224, 54225, 52739, 51773, 50943, 54102, 51675, 50801, 54225, 50827, 51658, 54225, 53086, 51434, 54068, 52989, 51773, 51157, 52584, 52496, 54225, 50827, 51453, 61243, 51773, 51318, 50799, 52603, 51189, 65386, 51204, 51132, 71112, 54225, 64936, 52257, 50995, 51039, 50827, 51302, 54225, 52739, 51773, 50915, 52603, 51003, 52257, 50981, 55810, 63524, 54225, 50827, 51658, 54225, 53086, 52327, 54068, 52989, 52603, 50889, 54102, 51134, 51132, 56946, 54225, 50827, 51453, 50827, 73471, 51115, 51607, 51115, 52327, 51204, 52792, 51359, 52584, 51896, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51607, 64286, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51440, 50889, 52584, 58668, 54225, 50827, 51453, 61243, 51515, 51115, 73471, 51295, 51607, 51419, 52547, 52208, 51132, 71377, 54225, 53004, 52792, 53710, 52580, 53755, 58224, 54225, 52739, 51515, 51016, 54102, 51422, 50801, 54225, 50827, 51658, 54225, 53086, 51440, 66741, 52989, 51607, 50915, 52547, 51016, 51132, 56946, 54225, 50827, 51453, 61243, 51434, 51477, 50799, 51773, 51310, 53034, 51264, 52584, 51623, 50801, 54225, 64936, 52603, 51241, 50420, 52792, 59218, 52580, 53755, 58224, 54225, 52739, 51773, 50914, 54102, 57130, 54225, 50827, 51658, 54225, 53086, 51434, 50873, 55810, 54260, 52989, 51773, 51159, 54102, 51221, 53034, 50889, 52584, 56946, 54225, 50827, 51453, 61243, 51773, 50912, 52603, 51121, 50799, 52257, 51025, 65386, 51364, 52471, 51264, 51132, 51977, 50801, 54225, 53004, 51773, 76193, 52580, 52603, 60344, 54225, 52739, 52257, 50943, 55810, 63524, 54225, 50827, 51658, 54225, 53086, 52327, 52201, 52989, 52603, 50943, 54102, 51159, 52471, 50889, 51132, 59165, 54225, 50827, 51453, 61243, 51440, 51318, 79053, 51115, 52327, 51204, 63001, 51036, 52547, 53241, 52584, 51941, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 52327, 61883, 54225, 52788, 51515, 61413, 54225, 53086, 51440, 54042, 52989, 52327, 51016, 52584, 54581, 54225, 53176, 52471, 50795, 52474, 54260, 50827, 50799, 52327, 51191, 51440, 51637, 51669, 51318, 63001, 51585, 53051, 52379, 51684, 67607, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 50889, 51349, 51496, 50801, 54225, 50827, 51658, 54225, 53086, 51669, 76193, 52989, 52327, 50807, 63001, 51054, 53051, 51054, 51684, 56946, 54225, 50827, 51453, 61243, 51440, 55812, 79053, 51318, 52043, 51189, 58669, 51346, 52471, 51655, 51349, 52311, 50801, 54225, 50827, 51039, 52580, 63001, 53888, 54225, 52739, 52043, 50807, 58669, 59250, 54225, 50827, 51658, 54225, 53086, 51669, 51242, 55810, 57837, 52989, 51607, 50889, 54102, 51189, 52471, 51016, 51349, 56780, 54225, 53176, 51526, 55271, 50827, 76056, 51115, 51607, 51115, 52043, 51218, 52471, 51469, 51416, 67839, 54225, 53004, 58669, 60257, 52580, 63001, 56780, 54225, 52739, 52043, 50943, 58669, 50914, 51416, 68393, 54225, 50827, 51658, 54225, 53086, 51669, 50838, 55810, 54042, 52989, 51607, 50915, 54102, 51267, 52471, 51013, 51416, 69362, 54225, 50827, 51453, 50827, 76056, 51115, 51808, 51295, 51669, 51310, 55810, 51991, 52547, 54055, 51137, 51541, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51434, 51204, 51137, 51541, 50801, 54225, 50827, 51658, 54225, 53086, 51808, 52839, 52989, 51434, 50914, 51808, 51108, 51669, 51003, 51137, 52420, 54225, 53176, 58669, 50830, 52471, 50806, 51132, 53734, 50827, 73471, 51295, 51669, 51115, 52327, 51141, 63001, 51933, 53051, 52208, 51684, 68393, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 50942, 51669, 50915, 52327, 51346, 51349, 67607, 54225, 50827, 51658, 54225, 53086, 51440, 52839, 52989, 51440, 51003, 51669, 50915, 52327, 50889, 63001, 51227, 53051, 51090, 51684, 59165, 54225, 50827, 51453, 61243, 51440, 51318, 79053, 51295, 52043, 51141, 58669, 51227, 52471, 51696, 51416, 61986, 54225, 50827, 51039, 52580, 63001, 51626, 54225, 52739, 51440, 50925, 51607, 50914, 52043, 50807, 58669, 50889, 51416, 70910, 54225, 50827, 51658, 54225, 53086, 51440, 50849, 55810, 53417, 52989, 51440, 50914, 51607, 50914, 52043, 50807, 54102, 51095, 52471, 50896, 51416, 67043, 54225, 50827, 51453, 50827, 50799, 51773, 51218, 51669, 51141, 52327, 51343, 63001, 51141, 53909, 51343, 51526, 51541, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 51218, 51607, 51218, 52043, 51364, 58669, 51274, 53051, 51496, 51349, 75759, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51515, 50943, 51773, 50981, 51669, 51003, 55810, 51016, 52471, 50896, 51137, 56942, 54225, 50827, 51453, 50827, 72721, 51945, 51440, 51945, 51607, 51714, 54102, 51605, 52547, 52379, 51132, 51933, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 50801, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51132, 60503, 54225, 50827, 51453, 61243, 51515, 51318, 73471, 51318, 51716, 51151, 52547, 52208, 52584, 51538, 50801, 54225, 64936, 51607, 51637, 50420, 52792, 56022, 52580, 53755, 56873, 54225, 52739, 51515, 51204, 54102, 51692, 50801, 54225, 50827 ]
[ 0, 250, 2635, 12, 20764, 3495, 1011, 625, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 8, 3459, 8669, 4, 20, 2214, 7630, 6568, 6453, 9, 657, 8, 26545, 149, 63, 15352, 30054, 15229, 4, 85, 11498, 10, 204, 73, 306, 86, 6543, 8, 16, 278, 11, 5, 762, 9, 381, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 119, 406, 6, 3676, 1176, 406, 6, 163, 406, 6, 8, 3676, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 54734, 51417, 50418, 50951, 51033, 50422, 51147, 58292, 74104, 50900, 70022, 59428, 61915, 50889, 50430, 51062, 75348, 51146, 54459, 51430, 50895, 53667, 51141, 50439, 51339, 50911, 50446, 51430, 58181, 51339, 51496, 62291, 51100, 50861, 59460, 51090, 50458, 51279, 51014, 51040, 50921, 54206, 52297, 50290, 51661, 50418, 50931, 62991, 51114, 55889, 71049, 50899, 59428, 55890, 56793, 50896, 50430, 51081, 56080, 51146, 55395, 51430, 70643, 52297, 50300, 51013, 50439, 51147, 51177, 51339, 51189, 50446, 50931, 55441, 51176, 64763, 60241, 62202, 60939, 51013, 50458, 51147, 50833, 51220, 50910, 54960, 51177, 51027, 70660, 58134, 60015, 51734, 50325, 51141, 51062, 51141, 68225, 50896, 53523, 51095, 50899, 59428, 59460, 50889, 50430, 50902, 56080, 64566, 50931, 59646, 51147, 51519, 50293, 51346, 50956, 51346, 51086, 59428, 69136, 68994, 50914, 50446, 50931, 55758, 51085, 72893, 64815, 63925, 60597, 51003, 50451, 50951, 50889, 56229, 51124, 50877, 51159, 51050, 65065, 60241, 51003, 68225, 53244, 51360, 51110, 51086, 51178, 72302, 50906, 51110, 51001, 51215, 50434, 51085, 51204, 50997, 51204, 50916, 51191, 50876, 51091, 50877, 51318, 68121, 53484, 50861, 51110, 52206, 76195, 51807, 50302, 51619, 50305, 72272, 51003, 50458, 75729, 54206, 65480, 63925, 60015, 51608, 50297, 51183, 50422, 51451, 50925, 53523, 74669, 58104, 51157, 50877, 60559, 51003, 51229, 50897, 50431, 51229, 52262, 51256, 50897, 55898, 59782, 58657, 51351, 51085, 51148, 50997, 51077, 50441, 51209, 51115, 50446, 50931, 53484, 51147, 50961, 50900, 68368, 50889, 50451, 76605, 50454, 51081, 50948, 50458, 75660, 53975, 65788, 57631, 59460, 51807, 50325, 51364, 51050, 51291, 68225, 51204, 51451, 53049, 50900, 51060, 50916, 51060, 50861, 51100, 51229, 59545, 51674, 68484, 51229, 57083, 50871, 51091, 50906, 51204, 51040, 51391, 50861, 51294, 50437, 51408, 56057, 51234, 50918, 50442, 51334, 50995, 50446, 51028, 56812, 50931, 51427, 51040, 58134, 55890, 72341, 50889, 50454, 51062, 51192, 50458, 51081, 73056, 70597, 53975, 61581, 62931, 51191, 50877, 51446, 51050, 51145, 50415, 50999, 51294, 68225, 51362, 51451, 50942, 53523, 70022, 57055, 61857, 51229, 54372, 51229, 57775, 50999, 51157, 51062, 51073, 55898, 75842, 51159, 50997, 51103, 51256, 50925, 50443, 51209, 51318, 50446, 51146, 50807, 51339, 55082, 50899, 58532, 51003, 50458, 51081, 51033, 51146, 50940, 62856, 70934, 51800, 50301, 51127, 77839, 72683, 50415, 50999, 51158, 51062, 51090, 50421, 51147, 61359, 74104, 50425, 51147, 52905, 50999, 51215, 50876, 51013, 50427, 51062, 50967, 50433, 51147, 60085, 50999, 75339, 51062, 50940, 57019, 51048, 51147, 51157, 51176, 68292, 50889, 50439, 51220, 51073, 73227, 51757, 51026, 51267, 50916, 66562, 50981, 50451, 50951, 51095, 51081, 50991, 50458, 51147, 50952, 50968, 50938, 53975, 57055, 52297, 50297, 51127, 50877, 67481, 79500, 50999, 51238, 50422, 51451, 55754, 50876, 51016, 53523, 70022, 57055, 51013, 50427, 51229, 55658, 51256, 62225, 51229, 50889, 50434, 50931, 54930, 50916, 60597, 52297, 50292, 51127, 50997, 72025, 51145, 50439, 51147, 51116, 50443, 51674, 51241, 50447, 50999, 58631, 50916, 50889, 50451, 51081, 51238, 50906, 50889, 50458, 51220, 50911, 53975, 51157, 50877, 72155, 51800, 50297, 51047, 76514, 50415, 51062, 51238, 50420, 51451, 55797, 51339, 51048, 53523, 59153, 70866, 50889, 51229, 52765, 51674, 68484, 51229, 63116, 51408, 53415, 50997, 51055, 51040, 57055, 58657, 51807, 50290, 51077, 50440, 51590, 54735, 51334, 50937, 73227, 51030, 50447, 51408, 51351, 64057, 51267, 50871, 51312, 50861, 51159, 51040, 51097, 50451, 51028, 50924, 50455, 51062, 67074, 69955, 57289, 71807, 65480, 58657, 57543, 73273, 51800, 50297, 51562, 50415, 50999, 51227, 68225, 50896, 53523, 51060, 50899, 51100, 50877, 51110, 50871, 50991, 50427, 51229, 70328, 51229, 66855, 70427, 51114, 50897, 51256, 58450, 50997, 66533, 58657, 73024, 51364, 51085, 51103, 50900, 51518, 50439, 51547, 68167, 51209, 51417, 64057, 51127, 50956, 51103, 65218, 50458, 51146, 50859, 51787, 50910, 76953, 51346, 51487, 51346, 52206, 51103, 50422, 50951, 51215, 53337, 72225, 57631, 62542, 50943, 50430, 50951, 62887, 51405, 51710, 50335, 58818, 51146, 51442, 50333, 78171, 63925, 61915, 60763, 51800, 50285, 51103, 50446, 50931, 69323, 51062, 50991, 51405, 51255, 50956, 58532, 61915, 60763, 50943, 50458, 51399, 51710, 50325, 50893, 54206, 51734, 50330, 51091, 51234, 51218, 51050, 51218, 51081, 50983, 50422, 51256, 52710, 50997, 62525, 61581, 50889, 50430, 50931, 50873, 51390, 77121, 51114, 50911, 51408, 61169, 51390, 51724, 50951, 51346, 50956, 51800, 50292, 51141, 51026, 51141, 50441, 51590, 60604, 51334, 50914, 50446, 51081, 69323, 51405, 51290, 50997, 70156, 62930, 58532, 51013, 50458, 51487, 50911, 68818, 51215, 50871, 78389, 51115, 51120, 51397, 50422, 52052, 51141, 50423, 51487, 51343, 53337, 60241, 57631, 60006, 50915, 50434, 51390, 55782, 51050, 63120, 51408, 59948, 51315, 53894, 51197, 51047, 51040, 51336, 50871, 51356, 50861, 51336, 50876, 51336, 50439, 51590, 64524, 51334, 70955, 52046, 50889, 56310, 65117, 64291, 57543, 51134, 51247, 51218, 51085, 51295, 50419, 51451, 59432, 51451, 50854, 53523, 51267, 73343, 51116, 50899, 50915, 51229, 50914, 50430, 50877, 50893, 50434, 50968, 50897, 50951, 56983, 50931, 51116, 50876, 51345, 50900, 60268, 68186, 51413, 50442, 51408, 61094, 50902, 51191, 50951, 51191, 51062, 51351, 51334, 62955, 51590, 54185, 50900, 64763, 61915, 51097, 50451, 51334, 51203, 50458, 50876, 51362, 50461, 50902, 50818, 57923, 70787, 51100, 76252, 50900, 72272, 59460, 51535, 51027, 51353, 50422, 50968, 50925, 50951, 57499, 50902, 51111, 50900, 61861, 50915, 50427, 50931, 51060, 65281, 65452, 50902, 53418, 51001, 50884, 50968, 51215, 50951, 51095, 50900, 65480, 58421, 51097, 50446, 69915, 50951, 58460, 50931, 51377, 50900, 62649, 60015, 80245, 50902, 51048, 50455, 51451, 56054, 51451, 50800, 55881, 79438, 61581, 63925, 70866, 51077, 50876, 78034, 51229, 54243, 51120, 60045, 60817, 73450, 50889, 50430, 51408, 58877, 51334, 53894, 51214, 51741, 50303, 65480, 58421, 61581, 51127, 51229, 51060, 50445, 51256, 69204, 52046, 51423, 51040, 63925, 62542, 50943, 50459, 51966, 50910, 55435, 51312, 50899, 51312, 51214, 60241, 58419, 52910, 51279, 65065, 60817, 58339, 58835, 50889, 50434, 51451, 56057, 51234, 51110, 50899, 60241, 60015, 73125, 51229, 76788, 51324, 50910, 51229, 50942, 56222, 51255, 51360, 51619, 50305, 59782, 64292, 50915, 50455, 51256, 63181, 76251, 51917, 50822, 54852, 51048, 50900, 70660, 57631, 51619, 50297, 51445, 50415, 51256, 51310, 50422, 51147, 50952, 53523, 64291, 58339, 60015, 75725, 50999, 59161, 51062, 51158, 50434, 51146, 59894, 51339, 72386, 51100, 51062, 51095, 50900, 60817, 60015, 58835, 50981, 50442, 51146, 51100, 50446, 51062, 56831, 51351, 50999, 51204, 51339, 51204, 56279, 65788, 63925, 61915, 50914, 50458, 59179, 56310, 51116, 50999, 51116, 50899, 51025, 51430, 51048, 51324, 50914, 50422, 51146, 50983, 56207, 51178, 50999, 51203, 51086, 68323, 51109, 50989, 50981, 50427, 51430, 51204, 50434, 50902, 51391, 51114, 51134, 51220, 68499, 51841, 50983, 50446, 51315, 51134, 56279, 61581, 62202, 58835, 67883, 50915, 57551, 75860, 62202, 51800, 50289, 51127, 50916, 51127, 50421, 51934 ]
[ 0, 250, 20902, 8, 17627, 17274, 3495, 5175, 2125, 6, 42, 8787, 15229, 16, 278, 11, 5, 762, 9, 274, 10431, 538, 19, 10, 23667, 20889, 9, 18872, 163, 5683, 4, 20, 33301, 16, 2584, 30, 10, 2342, 4467, 6, 7513, 30, 41, 21979, 8669, 6, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 6711, 16, 32076, 8, 33558, 6, 19, 10, 11602, 9, 1619, 9450, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 272, 6, 274, 10431, 6, 8, 163, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50460, 52367, 50840, 55639, 63604, 51019, 51795, 51357, 57232, 51266, 57232, 51182, 57232, 59007, 64266, 78117, 53672, 69702, 50923, 51206, 52208, 50415, 67717, 50855, 57376, 54878, 52433, 61319, 50894, 50421, 52367, 50859, 57376, 56856, 53598, 57559, 50868, 65394, 78117, 50884, 53297, 58972, 50894, 50424, 67717, 61823, 55639, 50807, 57376, 53901, 50868, 51294, 50847, 51013, 50935, 51013, 52367, 67839, 69702, 51552, 50433, 57376, 62196, 67717, 59921, 57376, 50839, 51658, 51054, 50443, 52433, 50851, 52367, 58937, 50868, 65394, 78117, 50884, 57376, 64429, 78552, 53598, 50840, 53297, 56888, 50868, 64266, 78117, 50884, 52367, 50821, 55639, 50859, 67717, 62421, 75557, 57376, 53068, 50847, 69543, 65646, 53672, 69702, 68458, 67717, 64405, 51357, 51269, 51266, 51269, 51182, 51269, 52433, 50930, 52367, 50880, 57376, 53217, 62664, 50868, 64266, 78117, 71074, 50923, 50458, 67717, 59700, 50927, 51795, 51113, 57232, 51600, 57232, 51107, 57232, 53598, 50930, 53297, 50890, 57376, 50841, 57342, 72736, 66093, 54405, 69702, 50923, 51206, 52208, 58082, 76689, 66093, 50884, 51886, 50851, 53598, 59488, 50894, 50421, 57376, 58659, 52433, 50862, 52367, 52296, 50848, 76689, 66093, 50884, 67717, 56651, 50894, 50424, 53598, 51241, 53297, 65183, 50850, 70902, 51013, 50944, 51013, 57376, 53790, 69702, 51552, 50432, 57376, 53908, 67717, 59921, 57376, 50862, 51658, 51054, 50443, 51886, 50851, 53598, 54746, 50944, 66093, 65810, 50884, 57376, 64429, 69389, 52433, 50813, 52367, 52513, 50848, 72736, 66093, 50884, 67717, 62156, 50894, 50448, 53598, 50882, 53297, 69458, 57376, 52802, 50801, 69702, 68458, 67717, 60425, 57376, 53555, 60264, 51113, 51269, 51107, 51269, 51600, 51269, 50848, 72736, 61952, 50887, 51886, 50930, 53598, 67344, 66120, 67717, 61145, 50964, 51352, 51088, 57232, 51093, 57232, 51266, 57232, 52433, 50930, 52367, 50880, 59007, 65394, 72084, 50887, 57376, 53971, 69702, 50923, 51206, 52208, 57783, 69543, 65394, 50884, 51673, 50810, 52433, 79488, 50894, 50421, 65307, 59993, 74078, 56174, 50885, 69543, 65394, 50884, 51886, 50854, 53598, 55023, 50894, 50424, 57376, 50813, 67717, 61057, 52433, 51091, 52367, 52910, 50868, 64266, 73640, 51294, 65307, 54169, 69702, 51552, 50429, 50868, 51157, 50432, 57376, 59076, 67717, 53116, 57376, 50841, 67717, 53959, 51054, 50443, 51673, 50844, 52433, 50897, 58463, 69543, 65394, 64654, 78552, 51886, 50851, 53598, 50854, 65307, 60812, 74078, 55118, 50868, 65394, 72084, 50884, 57376, 60605, 50894, 50448, 52433, 50882, 52367, 50821, 67717, 54208, 50885, 60709, 64266, 50887, 65307, 54169, 69702, 50923, 50455, 51088, 51269, 51093, 51269, 51266, 51269, 51673, 50890, 52433, 55433, 57951, 50885, 66636, 64266, 50884, 57376, 59281, 50923, 50460, 51491, 57232, 51357, 52988, 51395, 52988, 52156, 51148, 52480, 50914, 54798, 51009, 51042, 51294, 50979, 51294, 50944, 51294, 67717, 50836, 57376, 53971, 69702, 50923, 51206, 52208, 50420, 57376, 64429, 57852, 67717, 62421, 72533, 55639, 52910, 57376, 53959, 69702, 51552, 50429, 67717, 54215, 50979, 76689, 50884, 51042, 50884, 57376, 58662, 67717, 56000, 51042, 50887, 50979, 76689, 59653, 51205, 51300, 57376, 54431, 51042, 65861, 72979, 53841, 60969, 50903, 78552, 57376, 54847, 67717, 63088, 75557, 55639, 54596, 57376, 53309, 69702, 50923, 50452, 53297, 50830, 67717, 62603, 52367, 65243, 57376, 53137, 50903, 50923, 50457, 53598, 69941, 67717, 61780, 51357, 59828, 51266, 59828, 51182, 59828, 50461, 52433, 50890, 53400, 51066, 50935, 66636, 64266, 54405, 69702, 50923, 51206, 55198, 50415, 67717, 50855, 57376, 54878, 50868, 50952, 50847, 78117, 64654, 50894, 50421, 57376, 54104, 50847, 78117, 64654, 50894, 50424, 67717, 61823, 57376, 53901, 51205, 51066, 50847, 78117, 66636, 53672, 69702, 57067, 50868, 78117, 65394, 64654, 79726, 57376, 54248, 50868, 65394, 78117, 64654, 79612, 67717, 54431, 51019, 51066, 50868, 64266, 78117, 50887, 57376, 53790, 69702, 57816, 50868, 65394, 78117, 50884, 57376, 64429, 57152, 50868, 65394, 78117, 50884, 67717, 62421, 75557, 51205, 51072, 57376, 53068, 50868, 65394, 78117, 54405, 69702, 50894, 50452, 50868, 64266, 65646, 50887, 67717, 58186, 50903, 50894, 50455, 57376, 53217, 50868, 64266, 78117, 71074, 67516, 67717, 57326, 50868, 65394, 78117, 64654, 73361, 57376, 50841, 53400, 51066, 50868, 64266, 78117, 54405, 69702, 58808, 50847, 78117, 69543, 50952, 52433, 58972, 50894, 50421, 57376, 58659, 52433, 67724, 50847, 78117, 50884, 67717, 56651, 72533, 52367, 53939, 51205, 51072, 50868, 65394, 78117, 50884, 57376, 53790, 69702, 58236, 50868, 65394, 78117, 64654, 50894, 50431, 55639, 54937, 50868, 65394, 78117, 50884, 57376, 62467, 56966, 50868, 65394, 78117, 50884, 67717, 62421, 77451, 63668, 54362, 51019, 62711, 64266, 78117, 50884, 57376, 53959, 51527, 50903, 51527, 51206, 51527, 50450, 51789, 59960, 51565, 69189, 51266, 54270, 51182, 54270, 51357, 54270, 52156, 50890, 53400, 51066, 50868, 64266, 78117, 54405, 69702, 50923, 51206, 53501, 60474, 65394, 78117, 50884, 52156, 62746, 51739, 51054, 50422, 74078, 56174, 50847, 78117, 64654, 50894, 50424, 57376, 50813, 67717, 53425, 51205, 50993, 50868, 64266, 78117, 50887, 52156, 50930, 65307, 54169, 69702, 57067, 50847, 50884, 52156, 50930, 57376, 63035, 51739, 51054, 50433, 50868, 78117, 50884, 67717, 54665, 50847, 69543, 78117, 64654, 77451, 50868, 50887, 52156, 54459, 51019, 51066, 50847, 65646, 50887, 57376, 50841, 67717, 53959, 69702, 57816, 50935, 50884, 52156, 51138, 50903, 51739, 51054, 79581, 65394, 50884, 65307, 60812, 74078, 55118, 50847, 78117, 69543, 50884, 57376, 60605, 50894, 50448, 67717, 54208, 51205, 51066, 50847, 65646, 66636, 50884, 51827, 51286, 65307, 54169, 69702, 56328, 50935, 65394, 69543, 64654, 54712, 52156, 50911, 57376, 59281, 51739, 51054, 50457, 50847, 78117, 69543, 56419, 50847, 69543, 78117, 64654, 50894, 53400, 51066, 50868, 64266, 78117, 50884, 51673, 50936, 67717, 50836, 57376, 53971, 69702, 58808, 52156, 51661, 57376, 64429, 51739, 51054, 50421, 50935, 65394, 69543, 55795, 67717, 62421, 50894, 50424, 50868, 65394, 78117, 61396, 51205, 51066, 55639, 50910, 57376, 53901, 50868, 64266, 65646, 53672, 69702, 50923, 50428, 53297, 57050, 67717, 60012, 52367, 54372, 50847, 78117, 69543, 50884, 57376, 59607, 51739, 51054, 50433, 53297, 63023, 67717, 56000, 50935, 65394, 69543, 50884, 55639, 63390, 77451, 50868, 64266, 55395, 51019, 51066, 50935, 50884, 57376, 53933, 69702, 57816, 50935, 65394, 69543, 50884, 52156, 69918, 51739, 51054, 50445, 57376, 57728, 50935, 69543, 65394, 55888, 67717, 63088, 75557, 50868, 65394, 78117, 53409, 51205, 51066, 51686, 50806, 57376, 53309, 69702, 50894, 50452, 50868, 65394, 78117, 50884, 67717, 59012, 50903, 50894, 50455, 50868, 50952, 50847, 65646, 50884, 51565, 51286, 57376, 53137, 50903, 51739, 51054, 50458, 67717, 57326, 50847, 78117, 64654, 73361, 51107, 52147, 51600, 52147, 51113, 54557, 51686, 50829, 51596, 51878, 52083, 51242, 51686, 51158, 52288, 51072, 50848, 72736, 66093, 54405, 69702, 78880, 67717, 50855, 57376, 54878, 50944, 66093, 65810, 50884, 52083, 67638, 51739, 51054, 50421, 57376, 54104, 50944, 66093, 65810, 50884, 67717, 62421, 72533, 50848, 72736, 61952, 50887, 57376, 53901, 51011, 69277, 69702, 50923, 50431, 50850, 53230 ]
[ 0, 250, 2635, 8, 5679, 26709, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 38668, 11212, 6, 3459, 9590, 6, 8, 2236, 1021, 2678, 29, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 8520, 5466, 4, 20, 33215, 16739, 9, 211, 119, 6, 1918, 6, 163, 428, 6, 211, 119, 6, 8, 1918, 3639, 7, 5, 15352, 30054, 8, 25306, 619, 9, 42, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 52583, 51922, 78064, 53361, 54270, 51234, 51243, 51050, 51243, 50997, 51243, 50899, 74743, 52077, 70057, 52077, 66129, 51855, 52460, 57019, 51447, 50906, 51447, 50902, 77494, 52077, 51269, 50447, 51855, 53892, 50456, 52517, 69510, 51813, 54171, 50799, 53953, 51243, 52507, 51243, 51197, 51293, 50997, 51243, 50956, 51145, 50861, 51314, 57019, 60268, 50981, 56222, 62163, 50981, 50799, 52583, 51449, 52693, 51449, 53361, 52204, 51234, 51313, 51050, 51449, 50997, 51748, 50899, 74743, 52077, 51824, 50431, 51882, 63801, 52914, 51166, 57019, 51703, 50877, 51703, 50906, 51703, 50902, 51703, 50441, 52086, 52397, 50453, 51882, 51862, 50458, 52077, 51022, 50461, 51882, 52518, 50799, 53953, 51449, 52507, 51449, 51197, 52212, 50415, 50997, 54829, 50956, 52212, 50416, 50861, 52212, 50420, 52086, 58910, 51813, 51432, 50429, 51882, 54829, 63451, 53957, 50871, 65186, 50915, 55513, 78271, 51050, 53957, 50861, 52056, 50906, 51380, 50456, 50997, 52188, 50799, 52583, 51243, 78064, 53361, 51243, 51234, 51449, 51050, 51449, 50997, 51449, 50899, 51449, 50426, 52077, 77692, 52077, 64568, 51855, 52460, 57019, 51703, 50906, 51703, 50902, 53055, 50444, 52077, 65650, 51855, 53726, 50455, 53216, 51126, 50458, 52077, 51123, 50799, 53953, 51449, 52507, 51449, 53361, 51449, 51855, 52511, 50283, 51449, 50997, 51108, 50415, 50956, 58794, 51199, 50418, 51813, 54573, 56759, 51692, 50429, 50956, 54259, 58882, 50435, 67639, 57019, 59460, 52728, 50861, 62542, 50943, 50799, 52583, 51449, 52693, 51449, 53361, 51449, 51234, 52071, 51050, 52071, 50997, 52069, 50899, 52151, 50426, 52077, 51824, 50432, 51882, 51123, 50871, 65273, 66918, 60663, 52914, 51470, 57019, 51637, 50877, 51637, 50906, 51637, 50902, 51637, 50441, 52086, 53161, 50449, 51882, 51432, 50456, 52077, 51022, 51234, 51328, 50457, 50899, 59704, 51328, 50906, 70395, 52914, 52063, 50799, 53460, 51314, 53953, 51314, 52507, 51314, 51279, 51318, 50876, 51318, 50956, 51419, 50861, 51318, 50417, 52086, 51470, 50423, 51882, 51470, 50429, 52077, 51126, 50431, 52086, 52056, 50432, 51279, 51242, 50956, 51242, 50861, 58007, 53913, 52583, 51314, 53654, 51314, 52684, 51314, 51120, 51148, 50989, 51253, 50902, 51480, 77116, 50444, 52655, 50982, 52086, 71940, 52086, 74468, 61817, 64924, 58843, 51882, 52378, 51247, 56054, 51966, 50833, 50799, 52583, 51449, 52507, 51314, 53361, 51314, 51214, 51183, 50861, 53164, 50314, 67889, 51466, 50420, 52077, 52441, 53337, 63821, 64897, 51108, 50435, 52077, 59656, 52693, 51314, 52684, 51314, 51882, 52063, 51799, 51447, 50899, 66719, 68295, 51330, 50443, 52077, 65650, 51855, 52518, 56279, 79675, 68295, 51333, 50454, 52088, 60272, 51813, 55086, 50799, 54522, 51449, 53953, 51449, 52507, 51449, 52046, 51714, 50956, 58794, 51333, 56363, 51253, 56040, 51253, 50861, 57648, 50997, 56656, 50956, 51253, 67104, 50444, 52086, 51000, 52914, 53536, 50302, 70955, 52086, 53535, 50307, 60367, 58843, 51882, 53126, 50285, 50833, 50997, 73316, 51966, 50833, 50799, 52583, 51314, 52507, 51314, 53361, 51314, 51214, 51183, 50861, 53164, 50314, 67889, 51466, 50420, 52077, 53674, 53337, 63821, 64897, 51108, 50435, 52077, 60438, 52583, 51080, 52693, 51080, 52684, 51080, 51882, 51884, 51799, 51447, 50899, 66719, 68295, 51330, 50443, 52077, 65932, 51855, 52063, 56279, 79675, 68295, 51333, 50454, 52088, 60272, 51813, 54829, 50799, 54522, 51449, 53953, 51449, 52507, 51449, 52046, 51151, 50956, 51243, 50861, 51748, 50438, 51487, 51458, 50338, 78013, 51339, 54207, 51405, 58460, 79386, 51081, 76596, 50931, 58298, 76254, 50799, 52583, 51922, 78064, 53361, 54270, 51088, 50825, 51113, 50820, 51234, 51243, 51050, 51243, 50997, 51243, 50899, 51243, 50906, 51145, 50902, 51183, 50931, 51148, 51096, 51264, 50427, 52077, 51365, 50433, 52077, 63801, 51855, 53161, 57019, 51447, 50906, 51447, 50902, 77494, 52077, 63491, 51855, 52460, 50455, 52517, 65319, 51813, 56599, 50799, 53953, 51243, 52507, 51243, 51197, 51293, 50997, 51243, 50956, 51145, 50861, 51314, 51105, 51353, 50438, 51113, 51312, 50871, 60268, 57105, 51165, 58532, 62163, 50981, 50799, 52583, 51449, 52693, 51449, 53361, 52204, 51154, 53454, 51234, 51313, 51050, 51449, 50997, 51748, 50899, 51243, 51096, 51353, 50427, 52077, 65252, 51882, 51022, 50436, 52914, 55659, 50871, 51703, 50877, 51703, 50906, 51703, 50902, 51703, 50442, 52086, 52518, 50450, 51882, 51824, 50456, 52077, 72037, 51882, 52460, 50799, 53953, 51449, 52507, 51449, 51197, 52212, 50415, 50997, 54829, 50956, 54532, 50416, 50861, 52212, 50420, 52086, 52192, 50423, 52088, 51387, 50429, 52077, 51703, 50438, 51113, 78494, 53957, 80238, 50877, 51109, 55513, 78271, 51165, 51619, 50297, 53957, 50861, 52056, 50906, 51380, 50945, 59827, 50997, 52188, 50799, 52583, 51243, 78064, 53361, 51243, 51251, 51047, 51234, 51449, 51050, 51449, 50997, 51449, 50899, 51449, 51096, 51714, 50426, 52077, 70057, 52077, 67171, 51855, 52482, 50438, 51299, 62646, 51703, 50906, 51703, 50902, 53055, 50444, 52077, 63491, 51855, 53161, 50450, 51638, 59827, 52517, 69510, 51813, 53866, 50799, 53953, 51449, 52507, 51449, 53361, 51449, 51426, 51183, 52046, 51449, 50997, 51709, 51105, 51127, 50415, 50956, 58794, 51199, 50421, 51165, 53172, 51395, 51568, 50302, 51692, 50429, 50956, 54259, 51182, 57094, 60157, 50906, 58866, 51113, 50943, 51201, 58134, 59460, 72137, 75355, 51165, 50914, 51395, 59055, 62542, 50943, 50964, 51377, 50461, 51107, 51359, 50799, 52583, 51449, 52693, 51449, 53361, 51449, 51165, 51313, 51154, 52250, 51234, 52071, 51050, 52071, 50997, 52069, 50899, 52151, 51096, 51894, 50426, 52077, 76103, 51882, 75868, 65273, 66918, 60663, 52914, 51254, 57019, 51637, 50877, 51637, 50906, 51637, 50902, 51637, 50441, 52086, 51797, 50450, 51882, 69096, 52077, 52386, 50290, 51328, 51186, 50925, 50457, 50899, 59704, 51328, 50906, 70395, 52914, 51576, 50799, 53460, 51314, 53953, 51314, 52507, 51314, 51088, 51448, 51093, 52222, 51426, 51293, 51279, 51318, 50876, 51318, 50956, 51419, 50861, 51318, 51069, 51295, 50420, 52086, 57079, 51882, 51470, 50429, 52077, 50984, 50431, 52655, 53575, 52086, 51806, 51279, 51242, 50956, 51242, 50861, 58007, 50892, 51096, 54112, 50964, 54181, 52583, 51314, 53654, 51314, 52684, 51314, 51491, 51103, 51120, 51148, 50989, 51253, 50902, 51480, 77116, 50927, 70268, 52655, 50891, 52086, 73380, 52086, 51753, 51113, 63142, 61817, 64924, 58843, 51882, 51108, 51093, 51455, 50285, 56054, 51966, 50833, 50799, 52583, 51449, 52507, 51314, 53361, 51314, 51165, 51183, 51214, 51183, 50861, 53164, 50314, 67889, 51466, 50953, 73009, 52077, 51961, 53337, 63821, 64897, 51108, 50435, 52077, 54927, 52693, 51314, 52684, 51314, 51882, 51753, 51113, 51619, 50282, 51447, 50899, 66719, 68295, 51330, 50927, 51397, 50444, 52077, 58068, 51855, 51797, 50450, 51154, 51134, 50899, 79675, 68295, 69173, 52077, 51142, 50459, 51855, 51797, 50799, 54522, 51449, 53953, 51449, 52507, 51449, 51088, 51514, 50283, 51714, 50956, 58794, 51333, 51105, 52071, 50419, 51813, 51703, 50420, 51165, 79004, 51253, 50426, 51395, 64742, 51253, 50861, 57648, 51182, 79004, 56656, 51304, 71321, 51253, 67104, 50444, 52655, 50863, 52086, 51862, 51394, 51644, 50302, 70955, 52086, 51174, 51284, 64742, 60367, 58843, 51882, 51108, 51201, 51568, 50285, 50833, 50997, 51058, 50945, 50987 ]
[ 0, 713, 17627, 17274, 5175, 8, 3495, 2214, 1575, 41, 21979, 8669, 6, 1893, 43639, 6, 326, 5638, 18026, 6, 228, 438, 4781, 2088, 6757, 6, 8, 21072, 6, 2351, 10, 32076, 8, 33558, 5466, 4, 590, 10, 20889, 9, 1814, 13410, 228, 2289, 6, 24, 3136, 23, 41, 178, 5285, 2877, 11, 204, 73, 306, 86, 6, 150, 5, 762, 9, 83, 3694, 31473, 10, 2842, 9, 5581, 4, 20, 33215, 16739, 9, 272, 406, 6, 230, 6, 3676, 6, 83, 406, 6, 8, 211, 119, 3639, 7, 63, 11653, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 51601, 51236, 78591, 51236, 60854, 51236, 58866, 51236, 72638, 51236, 50930, 53462, 50811, 56098, 77858, 50838, 51317, 50838, 60384, 79298, 54899, 51381, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 58287, 77677, 79650, 51317, 50838, 60384, 79298, 55829, 54299, 55473, 53591, 58287, 77677, 51439, 73169, 52984, 50578, 54090, 54702, 52580, 51261, 51172, 77222, 66201, 54299, 57148, 54889, 58287, 77677, 79650, 51317, 51172, 71426, 51064, 51172, 54377, 55993, 54299, 54766, 52739, 55829, 54702, 53720, 58287, 77677, 79650, 51246, 50827, 54899, 52984, 50578, 54090, 54299, 52085, 52788, 51216, 51172, 70009, 51317, 50838, 60384, 73126, 54377, 54352, 63310, 52546, 54702, 55608, 50939, 79222, 50827, 79650, 54067, 55993, 54299, 52085, 53086, 67730, 79650, 51317, 50838, 60384, 73126, 55829, 54702, 54043, 77677, 51131, 50827, 54377, 52984, 50578, 54090, 54299, 54853, 52989, 58287, 77677, 79650, 51493, 50932, 51574, 50838, 54067, 54352, 52683, 54702, 55371, 51317, 51172, 50929, 73102, 54978, 54090, 54299, 56428, 53176, 58287, 77677, 79650, 54560, 50827, 55829, 54299, 56428, 54529, 51574, 50827, 54067, 51283, 51456, 54090, 54702, 50827, 50799, 78836, 67730, 51140, 51172, 51504, 50838, 50970, 61793, 50838, 71314, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 67730, 50970, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 78836, 67730, 51504, 52984, 50578, 54090, 54702, 52580, 51389, 51172, 62770, 66201, 54299, 57148, 54889, 78836, 67730, 50970, 73102, 51032, 51172, 54978, 55993, 54299, 54766, 52739, 55829, 54702, 53720, 78836, 67730, 67395, 54067, 52984, 50578, 54090, 54299, 52085, 52788, 51389, 51172, 61811, 54978, 54352, 63310, 52546, 54702, 55608, 56401, 50850, 67814, 50827, 50970, 73102, 51032, 51172, 54560, 55993, 54299, 52085, 50827, 51180, 54090, 54702, 54043, 56555, 61811, 54699, 50838, 51456, 54090, 54299, 54853, 52989, 56401, 56555, 62893, 51216, 51172, 70009, 50970, 61793, 50838, 71314, 69061, 54702, 55371, 54978, 54090, 54299, 56428, 53176, 56401, 56555, 62893, 50970, 61793, 50838, 71314, 54377, 50827, 55829, 54299, 56428, 54529, 51131, 50827, 53862, 52984, 50578, 54090, 54702, 50827, 56950, 51172, 67395, 51078, 61793, 50838, 71314, 55823, 51381, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 67730, 51078, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 78836, 67730, 50986, 52984, 50578, 54090, 54702, 52580, 51216, 51172, 70009, 66201, 54299, 57148, 54889, 78836, 67730, 51078, 73102, 51032, 51172, 54163, 54090, 54299, 54766, 52739, 55823, 50827, 55829, 54702, 53720, 78836, 67730, 51131, 50827, 54163, 50838, 51456, 54090, 54299, 52085, 52788, 50872, 51172, 62080, 62893, 51216, 77858, 54352, 63310, 52546, 54702, 55608, 61811, 62891, 71721, 55823, 54090, 54299, 52085, 53086, 54163, 50827, 55829, 54702, 54043, 62080, 51207, 50827, 55823, 50838, 51456, 54090, 54299, 54853, 52989, 56401, 62080, 62893, 51389, 51172, 51444, 50827, 59638, 69463, 65742, 69061, 54702, 55371, 54163, 54090, 54299, 56428, 53176, 62080, 62893, 68872, 59638, 69463, 65742, 55823, 50827, 55829, 54299, 56428, 54529, 51444, 50827, 54067, 51381, 51456, 54090, 54702, 50827, 50799, 56538, 58287, 67730, 51150, 51172, 62770, 60384, 71314, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 56538, 58287, 67730, 60384, 71314, 55829, 54299, 55473, 53591, 56538, 58287, 67730, 50986, 52984, 50578, 54090, 54702, 52580, 51098, 77858, 50827, 54067, 54352, 52546, 54299, 57148, 54889, 56538, 58287, 67730, 67395, 71426, 51032, 51172, 54377, 54090, 54299, 54766, 52739, 51246, 50827, 54899, 50827, 55829, 54702, 53720, 56538, 58287, 67730, 51131, 50827, 55860, 52984, 50578, 54090, 54299, 52085, 52788, 51150, 51172, 62770, 65026, 60384, 79298, 53862, 54352, 63310, 52546, 54702, 55608, 56538, 58287, 67730, 53862, 54090, 54299, 52085, 53086, 65026, 60384, 79298, 53862, 50827, 55829, 52984, 50586, 54702, 54043, 56031, 67395, 53862, 51172, 51456, 54090, 54299, 54853, 52989, 56031, 67730, 79650, 51098, 77858, 50838, 66485, 62631, 51032, 54352, 52683, 54702, 50827, 52145, 54299, 56428, 53176, 56031, 67730, 79650, 65026, 79298, 71314, 55829, 52984, 50586, 54299, 56428, 54529, 51207, 52984, 50578, 54090, 54702, 50827, 50799, 78836, 68872, 51140, 51172, 51504, 50838, 62770, 50970, 61793, 50838, 53192, 51680, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 68872, 51504, 50827, 62770, 50970, 61793, 50838, 55829, 54299, 55473, 53591, 78836, 51257, 52984, 50578, 54090, 54702, 52580, 51150, 51172, 51725, 50838, 66201, 54299, 57148, 54889, 78836, 68872, 77465, 50970, 73102, 50832, 54299, 54766, 52739, 55829, 54702, 53720, 78836, 68872, 51725, 52984, 50578, 54090, 54299, 52085, 52788, 51140, 51172, 51504, 50838, 62770, 50970, 61793, 50838, 51938, 52082, 52546, 54702, 55608, 50850, 62431, 50827, 51257, 54090, 54299, 52085, 53086, 56031, 68872, 62770, 50970, 61793, 50838, 53572, 50827, 55829, 54702, 54043, 56031, 51504, 50827, 52488, 50838, 51456, 54090, 54299, 54853, 52989, 78836, 68872, 51150, 51172, 51725, 50838, 69061, 54702, 55371, 77465, 50970, 73102, 52194, 55993, 54299, 56428, 53176, 78836, 68872, 55829, 54299, 56428, 54529, 51725, 50827, 52384, 51381, 51456, 54090, 54702, 50827, 50799, 78836, 67730, 51216, 51172, 70009, 50998, 61793, 50838, 71314, 52705, 53221, 52683, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 67730, 50998, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 78836, 67730, 51131, 52984, 50578, 54090, 54702, 52580, 51493, 51172, 52384, 51381, 55823, 54352, 52546, 54299, 57148, 54889, 78836, 67730, 61811, 50947, 51172, 51032, 51172, 54163, 54090, 54299, 54766, 52739, 67395, 55823, 50827, 55829, 54702, 53720, 78836, 67730, 51311, 50827, 54163, 52984, 50578, 54090, 54299, 52085, 52788, 51216, 51172, 70009, 50998, 61793, 50838, 71314, 55823, 54352, 63310, 52546, 54702, 55608, 50850, 62431, 50827, 67730, 52384, 50838, 53862, 51172, 50832, 54299, 52085, 53086, 50998, 61793, 50838, 71314, 55829, 54702, 54043, 67730, 51131, 50827, 52148, 52984, 50578, 54090, 54299, 54853, 52989, 78836, 67730, 51493, 51172, 51574, 50838, 52194, 50838, 69061, 54702, 55371, 50998, 73102, 51032, 51172, 50832, 54299, 56428, 53176, 78836, 67730, 53572, 51680, 55829, 54299, 56428, 54529, 51574, 52984, 50578, 54090, 54702, 50827, 56950, 51172, 61811, 51078, 61793, 50838, 71314, 52705, 53221, 52683, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 59645, 78836, 51078, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 59645, 78836, 50960, 52984, 50578, 54090, 54702, 52580, 51216, 51172, 70009, 54163, 54352, 52546, 54299, 57148, 54889, 59645, 78836, 51078, 73102, 51032, 51172, 54163, 54090, 54299, 54766, 52739, 54163, 50827, 55829, 54702, 53720, 59645, 78836, 51131, 50827, 54163, 52984, 50578, 54090, 54299, 52085, 52788, 50944, 51172, 78836, 51389, 51172, 61811, 51078, 61793, 50838, 71314, 52488, 51172, 54163, 51172, 51938, 52082, 52546, 54702, 50827, 52260, 54299, 52085, 53086, 51078, 61793, 50838, 71314, 55829, 54702, 54043, 56555, 67395, 52194, 50838, 53862, 50838, 51456, 54090, 54299, 54853, 52989, 59645 ]
[ 0, 250, 765, 5175, 2214, 19, 10, 15855, 2712, 6, 4246, 10, 13305, 816, 11, 10, 1769, 12, 20764, 195, 73, 306, 86, 6543, 4, 20, 2125, 16, 278, 11, 230, 10431, 3694, 8, 29769, 198, 5, 40286, 12608, 119, 406, 6, 230, 10431, 119, 6, 8, 83, 6, 2351, 10, 2933, 8, 15352, 30054, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56355, 50638, 50965, 55446, 50965, 54856, 50989, 53917, 50965, 55381, 50877, 55920, 50973, 54988, 50989, 50882, 50462, 50965, 50882, 56355, 50965, 55446, 50965, 54856, 50989, 53917, 50965, 55381, 50877, 55920, 50973, 54988, 51378, 69073, 54403, 51315, 67796, 51378, 64452, 50882, 50468, 51027, 50802, 56355, 50638, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 51040, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 50802, 62257, 51147, 50882, 50468, 51027, 50802, 56355, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 51040, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 64452, 50882, 70597, 50468, 51027, 50802, 56355, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 50899, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 64452, 50882, 70597, 50468, 51027, 50802, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 58383, 50449, 51028, 54217, 51147, 53849, 50450, 51378, 50882, 50989, 58974, 51399, 56235, 50453, 52128, 53413, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 79278, 61645, 50812, 51147, 50803, 50465, 50989, 50803, 72156, 50468, 50965, 78859, 50803, 50471, 62754, 68768, 56355, 51176, 50882, 62257, 50968, 52442, 50999, 52382, 51430, 52442, 66650, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 50468, 66740, 69175, 50471, 60013, 51430, 50803, 56355, 51176, 50882, 62257, 51001, 51352, 51405, 66288, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 51028, 50824, 51399, 74781, 51176, 50882, 62257, 50973, 50824, 51220, 50824, 56355, 51176, 50882, 62257, 58336, 50999, 54024, 65293, 51220, 52244, 51176, 50882, 62257, 51028, 51732, 51399, 51732, 50426, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 50468, 51114, 50802, 51787, 50802, 56355, 51176, 50882, 62257, 50968, 51352, 51430, 66288, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50968, 50824, 51430, 74781, 51176, 50882, 62257, 51114, 50824, 51787, 50824, 56355, 51176, 50882, 62257, 51147, 50803, 52128, 54024, 72156, 51787, 52244, 51176, 50882, 62257, 51147, 50803, 52128, 52801, 68903, 51814, 51973, 51378, 50882, 63435, 51220, 51009, 53117, 61222, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 51220, 50824, 53117, 74781, 51176, 50882, 62257, 51114, 50824, 51787, 50824, 56355, 51176, 50882, 62257, 51147, 52442, 52128, 52442, 66650, 50882, 62257, 50968, 65799, 51631, 51378, 50882, 63435, 51001, 51151, 51405, 51151, 50432, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 51040, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 64452, 50882, 70597, 50468, 51027, 50802, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 50803, 51399, 53318, 50336, 64342, 51378, 50824, 51399, 51014, 52128, 61177, 51399, 51014, 51787, 65846, 51378, 50802, 51399, 51014, 52128, 62591, 51040, 50824, 51399, 51014, 51814, 66066, 51399, 53318, 50339, 60919, 51378, 50802, 51399, 53318, 50334, 61063, 51315, 50802, 51399, 51014, 50462, 51378, 50802, 51399, 51014, 52128, 51014, 50468, 51027, 50802, 51399, 51021, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 51014, 55898, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 50803, 51146, 51828, 50336, 64342, 51378, 50824, 75746, 52128, 61177, 75746, 51787, 65846, 51378, 67859, 50830, 52128, 51014, 55898, 50824, 75746, 51814, 66066, 51146, 51828, 50339, 60919, 51378, 67859, 51828, 50334, 61063, 51315, 67859, 50830, 50462, 51378, 67859, 50830, 52128, 51014, 50468, 51027, 67859, 50865, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 50803, 51430, 51665, 50336, 64342, 51378, 50824, 51430, 50878, 52128, 61177, 51430, 50878, 51787, 65846, 51378, 50802, 51430, 50878, 52128, 62591, 51040, 50824, 51430, 50878, 51814, 66066, 51430, 51665, 50339, 60919, 51378, 50802, 51430, 51665, 50334, 61063, 51315, 50802, 51430, 50878, 50462, 51378, 50802, 51430, 50878, 52128, 51014, 50468, 51027, 50802, 51430, 50866, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327 ]
[ 0, 713, 25771, 5175, 2125, 6, 278, 11, 10, 2635, 204, 73, 306, 86, 6543, 6, 7630, 6568, 10, 2933, 8, 5679, 26709, 5466, 4, 20, 38668, 11212, 8, 18558, 10, 25118, 1045, 10, 19448, 8, 9066, 2369, 18795, 6, 150, 5, 13602, 6757, 6, 15679, 642, 1543, 6, 8, 21072, 1606, 5581, 7, 5, 15229, 4, 23973, 11, 5, 762, 9, 230, 10431, 3694, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 2060, 73, 717, 428, 6, 274, 10431, 6, 2060, 73, 717, 428, 6, 8, 230, 10431, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 60587, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 50795, 55654, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 55561, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 55654, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 55561, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 55654, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 55561, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 55654, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 55561, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 50795, 55654, 50795, 54476, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 55654, 50795, 54476, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 55654, 50795, 54476, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 55654, 50795, 54476, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 55654, 51036, 57412, 50795, 75313, 51036, 77819, 51036, 56131, 51036, 59440, 51036, 54308, 51036, 52089, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 59410, 51036, 57412, 50795, 75313, 51036, 69580, 51036, 56131, 51036, 54707, 51036, 59440, 51036, 54445, 51036, 52089, 51036, 51584, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 55654, 51036, 57412, 50795, 75313, 51036, 77819, 51036, 56131, 51036, 59440, 51036, 54308, 51036, 52089, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 59410, 51036, 57412, 50795, 75313, 51036, 69580, 51036, 56131, 51036, 54707, 51036, 59440, 51036, 54445, 51036, 52089, 51036, 51584, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50904, 50799, 60587, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 53121, 50807, 52819, 55900, 50832 ]
[ 0, 713, 5175, 25771, 2214, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 1575, 10, 3366, 219, 8, 15352, 30054, 5466, 4, 660, 21979, 8669, 3315, 5, 169, 6, 7513, 30, 21072, 6, 18558, 10, 25118, 6, 3459, 9590, 6, 8, 38668, 11212, 6, 2351, 10, 980, 219, 8, 19448, 16464, 4, 20, 7212, 20889, 9, 11061, 163, 5683, 2386, 5, 16331, 33215, 16739, 9, 230, 10431, 119, 6, 274, 10431, 119, 406, 6, 230, 10431, 119, 6, 8, 2060, 7, 18399, 4704, 5, 30443, 149, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50799, 61879, 50800, 54705, 53504, 61879, 52782, 54705, 52782, 50423, 61879, 50828, 54705, 52905, 61879, 50829, 54705, 54956, 61879, 50863, 54705, 53196, 61879, 50835, 54705, 54248, 61879, 50836, 54705, 53574, 61879, 50851, 54705, 58862, 61879, 50809, 54705, 52510, 61879, 50835, 54705, 54492, 61879, 50837, 54705, 52763, 61879, 50834, 54705, 50834, 52671, 51012, 53444, 51388, 50453, 61879, 50837, 54705, 53007, 61879, 50829, 54705, 50829, 52604, 51012, 54992, 60505, 50300, 50930, 51017, 50930, 50944, 50930, 52540, 56244, 50923, 51584, 51286, 52170, 51286, 50458, 51396, 50809, 51017, 60590, 53793, 61879, 50837, 54705, 58841, 51396, 50862, 51017, 72801, 50855, 50799, 61879, 50800, 54705, 50800, 51228, 51151, 52156, 51870, 57198, 52722, 52540, 51235, 51396, 51115, 51017, 51115, 50944, 51364, 50992, 51941, 51525, 53971, 53518, 50820, 50769, 50289, 51138, 51986, 51527, 51902, 51527, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 52540, 51203, 51070, 53098, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 52540, 50812, 51396, 79606, 50854, 50944, 64582, 55578, 54483, 61879, 50836, 54705, 50836, 52540, 51397, 51396, 51397, 51017, 51562, 50848, 51562, 50944, 51562, 50935, 51562, 51070, 54114, 61879, 50851, 54705, 59031, 54704, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 50374, 52663, 50447, 61879, 50837, 54705, 54561, 53430, 61879, 50834, 54705, 50834, 52671, 51012, 51070, 50839, 53444, 51388, 50453, 61879, 50837, 54705, 54561, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 52540, 50840, 51396, 50840, 51017, 56814, 72736, 68166, 58724, 50863, 51584, 50923, 52170, 51388, 50458, 52540, 50834, 51396, 50857, 51017, 61575, 68015, 63723, 57326, 61879, 50837, 54705, 54561, 63940, 50935, 50839, 52540, 50904, 51396, 50813, 51017, 59823, 57408, 50862, 50799, 61879, 50800, 54705, 50800, 51228, 51363, 52156, 51870, 58635, 52722, 52540, 50991, 51396, 51203, 51017, 51203, 50944, 51238, 50935, 51238, 50992, 51714, 51525, 53518, 50820, 67754, 50880, 51986, 51761, 51902, 51761, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 51228, 51423, 52540, 51203, 51396, 51203, 51017, 51203, 50944, 51238, 50935, 51238, 51525, 53622, 50928, 67754, 54818, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 51228, 50829, 52540, 50808, 51396, 50808, 67832, 65007, 50935, 52757, 50559, 69627, 67754, 59046, 61879, 50836, 54705, 50836, 51396, 51183, 51017, 51183, 50848, 51183, 50944, 51183, 50935, 51183, 52540, 51183, 51070, 54114, 61879, 50851, 54705, 59031, 54704, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 50374, 52663, 50447, 61879, 50837, 54705, 54561, 53430, 61879, 50834, 54705, 50834, 52671, 51012, 51070, 50839, 53444, 72590, 61879, 50837, 54705, 54561, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 51070, 50863, 51584, 50976, 52170, 50976, 50459, 61879, 50837, 54705, 72578, 69149, 50818, 51396, 50813, 51017, 62387, 59418, 63940, 51017, 61585, 63264, 66793, 59026, 51396, 50820, 50799, 61879, 50800, 54705, 50800, 51228, 51115, 52156, 51870, 58635, 52722, 52540, 51221, 51396, 51189, 51017, 51141, 50944, 50983, 50935, 51343, 50992, 51945, 51525, 53971, 53622, 50820, 50769, 50289, 50811, 67754, 50890, 51986, 51029, 51902, 51029, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 52540, 51203, 51070, 53098, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 51228, 51680, 52540, 50808, 51396, 50808, 51017, 54474, 59034, 60877, 63631, 69627, 67754, 59046, 61879, 50836, 54705, 50836, 51396, 51183, 51017, 51183, 50848, 51183, 50944, 51183, 50935, 51127, 52540, 51145, 51070, 54114, 61879, 50851, 54705, 59031, 54704, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 50374, 52663, 50447, 61879, 50837, 54705, 54561, 53430, 61879, 50834, 54705, 50834, 52671, 51012, 51070, 50839, 53444, 51505, 50453, 61879, 50837, 54705, 54561, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 51070, 50863, 51584, 50976, 52170, 54934, 61879, 50837, 54705, 72578, 69149, 50818, 51396, 50813, 51017, 62387, 59418, 63940, 51017, 61585, 63264, 66793, 59026, 51396, 50820, 50799, 61879, 50800, 54705, 50800, 51228, 51363, 52156, 52827, 58635, 55044, 52540, 51116, 51396, 51116, 51017, 51116, 50944, 50991, 50935, 51238, 50992, 51591, 51525, 54018, 50820, 67754, 50880, 51986, 51407, 51902, 51407, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 51228, 51423, 52540, 51203, 51396, 51203, 51017, 51203, 50944, 51238, 50935, 51238, 51525, 54018, 50928, 67754, 53939, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 51228, 50829, 52540, 50833, 51396, 72067, 61506, 50808, 50935, 63631, 50376, 52663, 67754, 58970, 61879, 50836, 54705, 50836, 52540, 51562, 51396, 51562, 51017, 51562, 50848, 51562, 50944, 51562, 50935, 51562, 51070, 54114, 61879, 50851, 54705, 53701, 50559, 54018, 50820, 67754, 63881, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 56544, 50386, 52663, 50447, 61879, 50837, 54705, 50837, 51316, 59345, 53430, 61879, 50834, 54705, 50834, 51316, 50894, 52671, 51012, 51070, 50839, 53444, 50949, 53444, 51388, 50453, 61879, 50837, 54705, 50837, 51067, 59031, 54038, 61879, 50829, 54705, 50829, 78578, 52604, 51012, 54992, 60505, 50293, 50840, 51396, 50840, 51017, 56814, 72736, 68166, 64960, 69199, 50863, 51584, 50961, 51584, 51286, 52170, 50961, 52170, 51286, 50458, 52540, 50834, 51396, 50857, 51017, 61575, 68015, 63723, 57326, 61879, 50837, 54705, 50837, 51316, 55127, 63940, 52540, 50904, 51396, 50813, 51017, 59823, 57408, 63472, 50862, 50799, 61879, 50800, 54705, 50800, 51228, 51151, 51076, 51141, 52156, 51870, 57198, 52722, 52540, 51235, 50935, 51364, 51396, 51115, 51017, 51115, 50944, 51364, 50992, 51941, 74993, 56124, 52922, 50820, 51986, 51552, 51902, 51552, 50417, 61879, 52782, 54705, 52782, 51270, 54018, 73954, 51270, 53420, 51270, 53246, 54604, 61879, 50828, 54705, 50828, 52540, 51203, 51068, 61943, 53518, 53098, 61879, 50829, 54705, 53669, 61758, 54018, 53943, 61879, 50863, 54705, 59126, 53740, 53962, 61879, 50835, 54705, 68013, 50887, 52540, 50812, 51396, 79606, 50854, 50944, 64537, 50381, 52663, 50435, 61879, 50836, 54705, 59495, 50839, 51396, 63593, 57482, 57597, 51418, 50293, 51047, 51270, 53977, 54114, 61879, 50851, 54705, 56029, 69804, 53544, 54704, 61879, 50809, 54705, 50809, 73770, 57724, 51396, 60439, 58244, 50974, 51270, 54018, 68211, 51270, 53384, 61879, 50835, 54705, 58729, 50372, 52663, 50447, 61879, 50837, 54705, 50837, 51396, 50822, 69950, 55315, 61910, 50935, 62983, 52922, 53430, 61879, 50834, 54705, 50834, 52671, 51952, 50300, 63593, 55711, 57482, 74345, 51938, 51433, 54018, 50839, 53444, 51388, 50453, 61879, 50837, 54705, 60432, 53977, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 51396, 50840, 51017, 56814, 72736, 68166, 62950, 50378, 52663, 51584, 50923, 52170, 51388, 50458, 51396, 50857, 51017, 61575, 68015, 63723, 57326, 61879 ]
[ 0, 250, 32625, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 2635, 226, 22740, 20889, 8, 132, 73, 306, 86, 6543, 1045, 10, 3366, 219, 5466, 6, 150, 5, 38668, 11212, 6, 33704, 5675, 22052, 6, 21979, 8669, 6, 24896, 6, 8, 12405, 21072, 35810, 561, 15352, 30054, 13171, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 1575, 10, 2007, 33215, 16739, 9, 381, 8, 1918, 6, 2455, 5, 30443, 7, 24144, 88, 10, 33535, 6, 23975, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50621, 54281, 51196, 51042, 51291, 50415, 50868, 51291, 50992, 51291, 50416, 50935, 51291, 52356, 50368, 55958, 50370, 55958, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 50810, 54360, 56263, 50894, 54236, 66584, 50868, 52597, 51374, 50833, 51042, 54803, 51640, 54954, 56827, 50856, 51877, 53545, 51374, 51363, 50868, 53820, 50850, 50923, 51769, 50891, 53447, 51551, 50944, 51196, 50850, 51196, 53058, 67481, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 52729, 51181, 56548, 50894, 53058, 50991, 50441, 50868, 52597, 51181, 50833, 51042, 54803, 51374, 54954, 50923, 52130, 59323, 50856, 51877, 53545, 51181, 51203, 50868, 53820, 50850, 50923, 53058, 58790, 50891, 54309, 51196, 50868, 51196, 52130, 50918, 60043, 51196, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 50810, 54683, 56263, 50894, 52130, 50991, 50441, 50868, 52597, 51338, 50833, 51042, 54803, 51181, 54954, 50923, 51967, 59323, 50856, 51877, 53545, 51338, 51363, 50868, 53820, 50850, 50923, 52130, 58790, 50891, 53447, 51551, 50944, 51196, 50850, 51196, 53058, 67481, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 52729, 51181, 56548, 50894, 53058, 50991, 50441, 50868, 52597, 51181, 50833, 51042, 54803, 51374, 54954, 50923, 51951, 59323, 50856, 51877, 53545, 51181, 51203, 50868, 53820, 50850, 50923, 53058, 58790, 50891, 54309, 51196, 50868, 51196, 52130, 50918, 60043, 51196, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 50810, 54683, 56263, 50894, 52130, 50991, 50441, 50868, 52597, 51338, 50833, 51042, 54803, 51181, 54954, 50923, 51967, 59323, 50856, 51877, 53545, 51338, 51363, 50868, 53820, 50850, 50923, 52130, 58790, 50891, 55556, 53241, 50939, 51014, 52249, 67481, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50939, 51014, 50422, 50939, 57818, 79151, 50918, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 52249, 50991, 50440, 50939, 63280, 50939, 51014, 50446, 50939, 76791, 52130, 59323, 50939, 70398, 51877, 59671, 50939, 61898, 51727, 60935, 51014, 52249, 58790, 61034, 50939, 50959, 52894, 52500, 50850, 51014, 52064, 51605, 53511, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 53227, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 50850, 60675, 50773, 50314, 51358, 50850, 78137, 50850, 58450, 50850, 51014, 50440, 50850, 63280, 50850, 51014, 50446, 50850, 58248, 50850, 70398, 51877, 59671, 50850, 61898, 51132, 63752, 51014, 51967, 58790, 61034, 66214, 55556, 53241, 50939, 51014, 52249, 50918, 53949, 51036, 54638, 51036, 55014, 51036, 58714, 51036, 53254, 51115, 53293, 51452, 50415, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 52249, 50991, 50440, 50939, 63280, 50939, 51014, 53254, 50866, 53293, 69905, 50939, 76791, 52130, 59323, 79151, 51091, 50939, 70398, 51877, 50818, 52983, 50866, 54464, 50866, 50452, 50939, 61898, 51727, 60935, 51014, 52249, 58790, 50891, 52509, 51047, 54184, 51047, 50458, 50939, 50959, 52894, 52500, 50850, 51014, 52064, 51605, 53511, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 53227, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 50850, 60675, 50850, 78137, 50850, 58450, 50850, 51014, 55091, 51025, 53619, 51025, 50440, 50850, 63280, 50850, 51014, 50446, 50850, 58248, 50850, 70398, 51877, 50818, 52983, 50866, 54464, 50866, 50452, 50850, 61898, 51132, 63752, 51014, 51967, 58790, 50891, 52983, 50813, 54464, 57185, 66214, 50459, 53254, 51397, 53293, 51397, 55556, 53241, 50939, 51014, 52249, 50918, 53949, 51036, 54638, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50773, 50314, 51605, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 52249, 50991, 53254, 50866, 53293, 50866, 50440, 50939, 63280, 50939, 51014, 55613, 50866, 52754, 69905, 50939, 76791, 52130, 59323, 50939, 70398, 51877, 50818, 55613, 50866, 52754, 50866, 50452, 50939, 61898, 51727, 60935, 51014, 52249, 58790, 50891, 52509, 51047, 54184, 51151, 50458, 50939, 50959, 52894, 52500, 50850, 51014, 52064, 50918, 53511, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 53227, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 50850, 60675, 50850, 78137, 66214, 51272, 50302, 56491, 51014, 52249, 50991, 50440, 50850, 63280, 54144, 50803, 50850, 51014, 50446, 66214, 50447, 55298, 50802, 51951, 59323, 50850, 70398, 51877, 59671, 66214, 50453, 54144, 52163, 51132, 50839, 55298, 50803, 50850, 51014, 52142, 58790, 61034, 66214, 50459, 54144, 50803, 71596, 51009, 51727, 53241, 50939, 51014, 54113, 50918, 53949, 51036, 54638, 51036, 55014, 51036, 60047, 71718, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 55926, 50773, 50314, 51894, 50420, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 54113, 50991, 53254, 50866, 53293, 50866, 50440, 50939, 63280, 50939, 51014, 52983, 50813, 54464, 58171, 50939, 76791, 52142, 50991, 52983, 50866, 54464, 54356, 50939, 70398, 51877, 59671, 50939, 50959, 50453, 53298, 50813, 54410, 53211, 51727, 60935, 51014, 51951, 58790, 50891, 53298, 50813, 54410, 57185, 50939, 67419, 52509, 51115, 54184, 51115, 52894, 52500, 50850, 51014, 52142, 50918, 54884, 51036, 53511, 51036, 55014, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 55926, 79151, 51605, 50420, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 66214, 50429, 54144, 52119, 55298, 50803, 50850, 51014, 52983, 50813, 54464, 56585, 66214, 50435, 54144, 50803, 52983, 50813, 54464, 50813, 51272, 50302, 56491, 51014, 52142, 50991, 55091, 51101, 53619, 51101, 50440, 50850, 63280, 54144, 50803, 50850, 51014, 50446, 66214, 50447, 55298, 50802, 51951, 50991, 52983, 50866, 54464, 54356, 50850, 70398, 51877, 59671, 66214, 50453, 54144, 50803, 53298, 50866, 54410, 54752, 51132, 50839, 55298, 50803, 50850, 51014, 52142, 58790, 61034, 66214, 50459, 54144, 50803, 53254, 50915, 53293, 51115, 71596, 51009, 51727, 53241, 50939, 51014, 54113, 50918, 54884, 51036, 53949, 51036, 54638, 51036, 55014, 71718, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 51014, 55613, 50813, 52754, 56585, 50939, 66804, 53254, 50813, 53293, 52781, 50939, 51014, 54113, 50991, 53254, 50866, 53293, 50866, 50440, 50939, 63280, 50939, 51014, 55613, 50866, 52754, 69905, 50939, 76791, 52142, 59323 ]
[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 3495, 2712, 6, 16, 10, 15352, 30054, 8, 19448, 2125, 14, 7630, 6568, 10, 1619, 16464, 4, 85, 1575, 41, 21979, 8669, 6, 6755, 12547, 6, 31391, 1672, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 32625, 5466, 4, 20, 1349, 16, 278, 11, 381, 3694, 6, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 8940, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 3676, 406, 6, 163, 119, 6, 163, 428, 6, 8, 83, 406, 3639, 7, 5, 2214, 18, 34384, 1722, 8, 5679, 26709, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 74734, 50426, 51667, 58814, 52135, 52119, 51643, 58970, 51633, 50894, 51057, 51844, 52097, 52113, 50803, 52133, 52829, 52187, 52121, 51615, 52069, 52033, 53073, 50415, 52012, 54805, 76714, 50955, 50417, 51993, 59236, 50986, 51423, 50998, 51267, 50929, 51253, 51076, 51806, 52113, 51059, 53763, 50427, 53763, 51270, 74954, 51574, 74257, 50986, 51210, 50433, 50798, 50967, 53763, 50435, 52135, 65733, 51374, 50836, 51057, 52226, 50898, 50955, 50415, 79740, 50998, 51290, 50929, 51048, 51076, 51159, 51131, 51116, 51349, 50818, 51633, 51407, 51270, 80234, 51008, 50421, 50986, 51108, 51349, 51054, 50427, 51574, 60665, 53734, 78128, 57476, 69239, 70009, 67519, 65244, 51374, 52744, 51008, 51240, 66519, 51349, 50890, 51057, 52255, 52208, 50798, 71496, 50942, 50415, 52012, 51336, 51270, 50942, 50416, 51844, 52512, 60434, 51233, 50421, 50998, 51159, 51169, 51157, 51076, 51056, 53763, 51544, 50955, 51270, 60313, 50986, 51025, 52226, 60759, 51633, 57476, 50798, 56958, 66859, 51633, 58198, 51374, 50854, 51057, 51076, 51932, 50998, 51066, 51169, 51500, 51349, 53065, 50955, 50415, 51643, 60536, 75832, 51643, 51052, 51008, 50421, 72094, 51349, 51354, 50423, 52135, 50950, 52389, 53734, 78128, 56998, 51131, 51215, 52135, 66605, 50998, 51101, 51076, 51212, 51169, 51242, 51349, 52359, 51374, 60121, 50986, 52839, 51008, 51240, 56080, 53179, 50880, 52372, 50882, 50436, 51574, 50942, 51057, 51615, 51307, 50791, 50942, 51270, 51021, 50415, 52012, 51527, 51844, 51300, 52372, 53056, 51173, 50419, 52113, 51010, 50421, 50986, 50978, 51076, 51267, 50998, 51100, 50929, 51267, 53763, 50423, 52113, 54675, 51270, 50942, 50427, 53763, 50428, 56746, 58874, 50986, 51377, 50998, 67673, 56746, 51520, 60121, 51131, 50874, 52653, 50436, 51374, 50840, 52372, 50821, 59052, 50998, 51603, 50929, 51500, 51076, 51603, 51349, 51130, 50955, 51270, 51045, 50416, 52372, 75832, 64932, 60879, 50986, 51233, 51349, 51364, 58196, 51805, 57630, 58196, 64262, 51131, 51215, 51240, 51520, 55271, 73488, 51076, 51242, 50998, 51242, 50929, 51328, 50431, 56746, 57476, 50986, 51101, 53763, 51240, 59618, 56746, 51496, 50436, 51574, 50925, 51057, 52255, 78996, 52012, 51336, 51844, 61846, 50893, 52653, 51270, 55573, 50986, 50978, 51076, 51056, 50421, 51169, 51159, 50998, 51157, 53763, 50427, 54061, 51052, 50955, 51270, 58465, 53128, 67757, 50986, 73195, 56746, 59009, 50798, 51370, 69876, 54061, 52442, 50436, 51131, 52167, 51374, 50855, 51057, 50998, 51653, 51169, 51460, 51076, 79108, 50955, 50415, 51349, 57344, 55446, 50986, 51242, 53763, 50421, 51349, 51460, 50426, 50998, 51100, 51076, 51173, 51169, 51192, 62579, 58878, 50948, 51240, 58874, 50986, 68766, 51131, 51006, 50433, 51533, 51052, 51008, 51240, 58198, 51574, 50942, 51374, 50821, 51057, 52012, 51527, 50415, 51844, 61846, 50948, 54722, 51270, 51388, 50421, 68103, 51076, 51203, 50998, 51221, 50929, 51203, 53763, 50427, 50986, 51134, 53763, 51270, 50940, 51361, 51008, 50433, 51076, 51043, 50998, 51003, 50929, 70306, 50865, 50436, 51374, 50867, 67014, 50955, 50415, 51131, 51345, 51349, 66416, 50924, 51039, 51008, 50421, 51076, 51233, 50929, 51101, 51349, 50993, 50427, 50986, 54068, 55576, 50948, 51240, 58874, 60419, 51076, 51074, 67765, 51374, 51427, 50433, 51131, 51051, 80254, 53763, 51240, 65733, 51574, 50925, 51057, 52012, 51685, 54407, 50415, 51844, 52097, 50798, 50893, 51270, 50938, 50421, 68657, 51169, 51121, 51076, 51177, 50998, 51060, 53763, 50426, 50986, 53710, 50955, 50427, 51270, 78674, 51076, 51328, 50998, 51242, 51169, 51242, 50433, 50986, 51174, 53763, 50798, 50865, 50436, 51374, 50862, 59052, 50986, 51345, 50998, 51354, 51169, 51379, 51076, 51167, 51349, 50898, 50959, 51270, 52628, 69789, 50421, 73077, 53763, 50426, 51076, 51235, 50427, 50998, 51160, 51169, 51235, 51374, 52374, 55576, 50948, 51240, 58459, 50986, 51309, 51137, 64338, 51349, 52964, 51008, 51240, 50803, 51057, 51574, 50925, 50415, 52012, 51527, 51844, 77799, 58878, 50948, 51270, 50894, 50421, 50986, 50978, 51076, 51177, 50998, 51110, 50929, 51255, 53763, 50427, 50986, 50925, 53763, 50430, 50986, 51255, 50433, 50798, 53710, 63125, 51131, 51637, 50436, 51374, 50855, 59052, 50998, 51500, 51076, 51500, 50929, 51227, 51349, 51135, 50955, 50421, 50986, 51337, 51349, 51227, 53763, 51270, 50894, 50427, 51574, 59156, 58878, 50948, 51240, 74172, 51076, 51242, 50998, 51212, 50929, 54342, 51240, 65174, 72094, 51349, 51594, 69876, 51131, 50942, 50436, 51374, 50813, 51057, 52012, 60206, 50948, 54407, 50415, 51844, 52097, 51270, 55492, 50986, 51254, 50998, 51100, 51169, 51056, 51076, 51121, 50421, 53763, 51544, 50955, 50427, 51270, 59965, 50986, 51363, 51076, 76103, 51131, 51419, 53763, 51240, 64338, 50798, 50865, 50436, 51374, 50862, 51057, 51169, 51160, 50998, 51460, 51076, 61751, 50955, 50415, 51349, 64494, 57188, 50986, 51212, 53763, 50421, 51349, 72104, 50998, 51178, 51169, 51235, 51076, 51235, 52653, 50798, 50948, 51240, 76526, 51374, 52359, 68657, 51844, 51012, 53763, 50433, 51240, 51021, 51057, 51504, 68696, 58878, 50948, 50415, 51132, 51661, 51270, 55492, 50970, 51101, 53763, 50421, 51169, 51411, 51032, 51267, 51067, 51056, 51544, 51008, 50427, 51270, 50940, 50430, 50970, 51124, 51361, 63834, 72021, 51240, 50942, 50436, 51338, 50857, 51057, 51169, 50980, 51032, 50980, 51067, 51603, 51132, 50962, 70561, 50955, 51270, 52244, 50970, 51233, 50421, 51132, 51157, 53763, 50426, 65930, 50427, 52653, 51240, 51520, 50948, 50430, 51169, 51242, 51032, 51242, 51067, 51101, 50433, 50970, 51177, 51132, 51420, 51008, 51240, 51045, 50435, 51602, 67066, 51311, 50933, 59052, 51574, 51551, 51374, 51077, 53763, 50798, 65924, 51138, 50421, 50970, 51242, 51169, 51159, 51032, 51159, 51067, 51267, 50960, 51448, 53763, 51544, 50959, 50427, 51270, 59161, 50970, 51255, 51361, 51008, 50433, 51311, 51753, 50798, 64984, 50830, 67014, 50942, 50415, 51169, 51227, 51032, 50980, 51067, 50980, 51270, 50860, 51039, 51008, 50421, 50970, 51043, 51374, 58860, 51311, 54070, 53710, 50910, 51240, 53300, 51374, 68207, 51169, 51242, 51032, 51212, 51067, 51101, 50433, 60918, 51181, 61984, 51240, 74089, 51574, 50878, 51374, 50862, 59052, 52012, 52311, 51844, 52512, 50791, 58878, 65924, 67721, 51076, 51056, 50998, 51159, 50929, 51255, 53763, 50427, 53763, 51270, 51045, 50430, 69088, 51974, 51370, 51008, 50433, 51131, 51267, 51240, 50917, 50436, 51374, 50822, 51057, 70204, 51603, 54407, 50415, 51169, 51932, 51076, 50980, 51349, 69804, 67008, 50986, 51233, 51349, 52374, 57630, 51240, 56998, 51131, 51021, 51349, 53056, 50948, 54613, 50430, 50998, 50987, 51169, 50987, 51076, 51058, 51374, 52726, 51844, 79726, 53763, 51240, 51138, 50434, 50986, 65470, 51727, 79612, 51131, 50925, 51057, 51857, 57520, 53734, 50878, 50415, 50960, 51346, 70804, 51270, 50823, 50416, 53092, 51351, 51311, 50897, 50421, 51311, 52839, 51008, 50427, 50947, 50975, 54613, 51270, 58656, 51311, 51252, 61414, 50433, 51311, 50845, 51181, 64493, 57603, 51370, 51008, 50436, 51574, 51003, 51533, 50811, 51057, 50960, 51055, 50970, 51235, 50415, 51169, 51541, 51374, 78487, 50955, 51270, 70844, 51032, 51043, 50421, 51311, 51043, 53763, 50426, 51032, 51238, 50427, 51076, 50952, 51533, 50817, 51374, 63325, 78128, 51520, 50948, 50430, 50970, 51121, 52372, 50813, 53128 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 83, 538, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 3459, 9590, 6, 30062, 620, 7085, 12280, 642, 6, 8, 3459, 8669, 4, 590, 10, 20889, 9, 1814, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 10563, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 8, 211, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 50796, 50444, 51114, 52596, 50999, 50805, 50454, 51068, 53137, 51399, 60450, 67205, 63380, 76502, 72137, 51101, 51905, 51466, 51733, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50870, 51971, 58059, 52703, 50365, 53315, 62433, 51126, 53214, 51693, 50418, 51068, 54213, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 64745, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51693, 50424, 51068, 52976, 51430, 51112, 51069, 51043, 51905, 52460, 51733, 52460, 50801, 52703, 50369, 53315, 62433, 51126, 53649, 51693, 50430, 51068, 53814, 50944, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50971, 51760, 60349, 52087, 50375, 53315, 62433, 55310, 51146, 51091, 51558, 53486, 51384, 53486, 70942, 50436, 51068, 52958, 50927, 78460, 52703, 50367, 53315, 62433, 51126, 53491, 52611, 50442, 51068, 53858, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51258, 50448, 50927, 58849, 53166, 51114, 50830, 51069, 55675, 52703, 50371, 53315, 62433, 51126, 54599, 79104, 50999, 57621, 54038, 51399, 50795, 51205, 50878, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53341, 51306, 50460, 51068, 50908, 76502, 51112, 50927, 51101, 51905, 51466, 51733, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 58059, 52703, 50371, 53315, 62433, 51126, 53214, 51129, 50418, 51068, 54213, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 50372, 53315, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51306, 50424, 51430, 50967, 51068, 52976, 51069, 51101, 51905, 52460, 51733, 52460, 50801, 52703, 50365, 53315, 62433, 51126, 53649, 51129, 50430, 51068, 53814, 51814, 58228, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50870, 51760, 60349, 52087, 50373, 53315, 62433, 55310, 51558, 52441, 51384, 52441, 70942, 50436, 51068, 52958, 51814, 62415, 69026, 52703, 50372, 53315, 62433, 51126, 53491, 51129, 50442, 51068, 53858, 51787, 58228, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51004, 50448, 50927, 56340, 53166, 51787, 70323, 50866, 51905, 51466, 51733, 51466, 54227, 50870, 51971, 55170, 52703, 50369, 53315, 62433, 51126, 54599, 51258, 50454, 51146, 58717, 52920, 51019, 57062, 58243, 59072, 50836, 51149, 55153, 52300, 50378, 53315, 62433, 50836, 53341, 51258, 50460, 51220, 50967, 51068, 50835, 52563, 51101, 51384, 52460, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 55170, 52703, 50365, 53315, 62433, 51126, 53214, 51693, 50418, 51068, 54213, 51146, 55990, 62552, 59072, 50836, 51840, 55250, 52087, 64745, 62433, 55155, 51384, 52482, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 59795, 51693, 50424, 51068, 52976, 51220, 70323, 78460, 52703, 50369, 53315, 62433, 51126, 53649, 51693, 50430, 51146, 62752, 53814, 51905, 53486, 51733, 53486, 50847, 62552, 59072, 50836, 63479, 51231, 51803, 51672, 51803, 51457, 51803, 51818, 51803, 54227, 50971, 51971, 60349, 52087, 50375, 53315, 62433, 50836, 53198, 51129, 50436, 50999, 51091, 51068, 52958, 50953, 69026, 52703, 50367, 53315, 62433, 51126, 53491, 52611, 50442, 51068, 53858, 50847, 62552, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51258, 50448, 50953, 60561, 53166, 51114, 70323, 55675, 52703, 50371, 53315, 62433, 51126, 54599, 79104, 50951, 53984, 54038, 63558, 51019, 50866, 50847, 62552, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53341, 51306, 50460, 51114, 58717, 50908, 52563, 51101, 51384, 52460, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 58059, 52703, 50371, 53315, 62433, 51126, 53214, 51129, 50418, 50973, 57621, 54213, 50902, 50983, 50847, 62552, 59072, 50836, 51840, 55250, 52087, 50372, 53315, 62433, 55155, 51384, 52460, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 59795, 51306, 50424, 51068, 52976, 50927, 78460, 52703, 50365, 53315, 62433, 51126, 53649, 51129, 50430, 51068, 53814, 51905, 52519, 51733, 52519, 50847, 62552, 59072, 50836, 63479, 51231, 51803, 51672, 51803, 51457, 51803, 51818, 51803, 54227, 50971, 51971, 60349, 52087, 50373, 53315, 62433, 50836, 53198, 51129, 50436, 51068, 52958, 61827, 50953, 69026, 52703, 50372, 53315, 62433, 51126, 53491, 51129, 50442, 50999, 61181, 53858, 50847, 62552, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51004, 50448, 50968, 51178, 50953, 60561, 61244, 51558, 52441, 51384, 52441, 50450, 51069, 50845, 54091, 50971, 51760, 58059, 52703, 50369, 53315, 62433, 51126, 54599, 51258, 50454, 51068, 52920, 50968, 50942, 51205, 50866, 50847, 62552, 59072, 50836, 51149, 55153, 52300, 50378, 53315, 62433, 50836, 53341, 51258, 50460, 50999, 70222, 50835, 52288, 51101, 51905, 51466, 51733, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50870, 51971, 58059, 52703, 50365, 53315, 62433, 51126, 53214, 51693, 50418, 50968, 51337, 51068, 54213, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 64745, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51693, 50424, 51068, 52976, 72311, 51069, 51043, 51905, 52460, 51733, 52460, 50801, 52703, 50369, 53315, 62433, 51126, 53649, 51693, 50430, 50999, 51079, 51068, 53814, 50944, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50971, 51760, 60349, 52087, 50375, 53315, 62433, 55310, 51558, 53486, 51384, 53486, 70942, 50436, 50968, 51166, 51068, 52958, 50927, 78460, 52703, 50367, 53315, 62433, 51126, 53491, 52611, 50442, 51028, 57621, 53858, 50902, 60590, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 60520, 51114, 53401, 71817, 50448, 56928, 50927, 58849, 53166, 51399, 50865, 51069, 55675, 52703, 50371, 53315, 62433, 51126, 54599, 79104, 51068, 64360, 51146, 54896, 51205, 50878, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 56132, 51399, 67160, 51306, 50460, 51068, 50908, 52288, 51101, 51284, 51466, 51905, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 58059, 52703, 50371, 53315, 62433, 51126, 50415, 51146, 50865, 53214, 51129, 50418, 51068, 54213, 51399, 50865, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 50372, 53315, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51306, 50424, 50999, 62752, 52976, 51069, 51101, 51558, 51466, 51384, 51466, 50801, 52703, 50365, 53315, 62433, 51126, 50428, 51114, 51091, 53649, 51129, 50430, 51068, 53814, 50944, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50870, 51760, 60349, 52087, 50373, 53315, 62433, 50836, 53198, 51129, 50436, 51068, 52958, 50927, 51101, 51905, 51466, 51733, 51466, 50801, 52703, 50372, 53315, 62433, 51126, 53491, 51129, 50442, 51068, 53858, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51004, 50448, 51114, 65665, 56340, 53166, 51399, 50809, 51814, 50865, 50927, 50866, 51733, 51466, 52487, 51466, 54227, 50870, 51971, 55170, 52703, 50369, 53315, 62433, 51126 ]
[ 0, 250, 15352, 30054, 3495, 1619, 1011, 625, 19, 11057, 16882, 6, 4246, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 9590, 6, 8, 3459, 8669, 4, 20, 2214, 16, 11, 274, 538, 19, 10, 7212, 20889, 9, 8017, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 272, 119, 406, 6, 230, 406, 6, 8, 1918, 406, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 54204, 51218, 51504, 52025, 50960, 51738, 52602, 51447, 51638, 51314, 51251, 51447, 50801, 53156, 59249, 50947, 51466, 50417, 51113, 51878, 50421, 69466, 50877, 58216, 72369, 50947, 65485, 55601, 60262, 50877, 50940, 51027, 50879, 50430, 52157, 76969, 51261, 54665, 51026, 51356, 50861, 51196, 68773, 52157, 51145, 51246, 53697, 50998, 51738, 50929, 51738, 52602, 51703, 51638, 51703, 51794, 51244, 51088, 51080, 51301, 51447, 51699, 78047, 53156, 63038, 51316, 55765, 50445, 51040, 51112, 50916, 51345, 50450, 51246, 51000, 50998, 50941, 50929, 50941, 51316, 50366, 51698, 53156, 63848, 51085, 50925, 51621, 70039, 50997, 51221, 50461, 50956, 51215, 66180, 50906, 51110, 53788, 51477, 51725, 52025, 51246, 51466, 51136, 51466, 52143, 51447, 51638, 51080, 51426, 51447, 51165, 51447, 51093, 51447, 50801, 53156, 59249, 50929, 52618, 50424, 64871, 69429, 50425, 50997, 75169, 53049, 51246, 50941, 51136, 65485, 55601, 56919, 50929, 71879, 51461, 73632, 50877, 51358, 51027, 51896, 50434, 51150, 50835, 51556, 52729, 51461, 51145, 51725, 53697, 51504, 53697, 50986, 51738, 52143, 51447, 51883, 51080, 51426, 51447, 51113, 51447, 51093, 51447, 50801, 53156, 63038, 51136, 51738, 50947, 61211, 50450, 51725, 51000, 51504, 51000, 50986, 50941, 51136, 65485, 53156, 57465, 50947, 51297, 51621, 50854, 59670, 51145, 50900, 51141, 51120, 51161, 51246, 52025, 50960, 51466, 50947, 51466, 52602, 51703, 51638, 51703, 51251, 51244, 51113, 51080, 51154, 51447, 51883, 78047, 53156, 59249, 51032, 52618, 50421, 50906, 66499, 63835, 55341, 72369, 50947, 65485, 55601, 56919, 51032, 71879, 50876, 50879, 51556, 61868, 50906, 59306, 52157, 51145, 50899, 73450, 50943, 51246, 51862, 50960, 51365, 51078, 51365, 51064, 51550, 52602, 51703, 51251, 51703, 51491, 51244, 51165, 51080, 51638, 78047, 53156, 64201, 50876, 55260, 50960, 50863, 51078, 50863, 51064, 50366, 51502, 53156, 57465, 50906, 51095, 50458, 51197, 51977, 50899, 51077, 50861, 51343, 51621, 50854, 55970, 51145, 52562, 52025, 50960, 51466, 50929, 51466, 52481, 51447, 51638, 51314, 51251, 51447, 50801, 53156, 59249, 51064, 52618, 50417, 51088, 51878, 50422, 50902, 51158, 65404, 50941, 50929, 65485, 55601, 60262, 51064, 66775, 50902, 62803, 51176, 51582, 63443, 50900, 76716, 51522, 51145, 50989, 51218, 52562, 51862, 50986, 51365, 51078, 51365, 51169, 51550, 53623, 51703, 52316, 51703, 51299, 51244, 51491, 51080, 51154, 51447, 53148, 78047, 53156, 57577, 50876, 70269, 50986, 50863, 51078, 50863, 51169, 50366, 51502, 53156, 53848, 50852, 62659, 51027, 51189, 59670, 51145, 51234, 51191, 51246, 53697, 50960, 51738, 50970, 51738, 52602, 51447, 51251, 51314, 51154, 51447, 50801, 53156, 59249, 51064, 55765, 50417, 51165, 51878, 50422, 50902, 77224, 51246, 51000, 72369, 50970, 50941, 51064, 50366, 51698, 55601, 57659, 73057, 51556, 52729, 52157, 51145, 51120, 51162, 51504, 53697, 50960, 51738, 52602, 51447, 51883, 51080, 51251, 51447, 51113, 51447, 51093, 51447, 50801, 53156, 63038, 50900, 51800, 50325, 50938, 50947, 51738, 50446, 51147, 58710, 51504, 51000, 72369, 50947, 65485, 53156, 64620, 50951, 50938, 51621, 70039, 50871, 51191, 51001, 51661, 51026, 51933, 51086, 51518, 53458, 51413, 51207, 53697, 51311, 51738, 51136, 51738, 52776, 51447, 52065, 51080, 51088, 51447, 51357, 51447, 51395, 51447, 50801, 53156, 59249, 50929, 55765, 53337, 51417, 51207, 51000, 51311, 50941, 51136, 50941, 50929, 50366, 51698, 55601, 57659, 50871, 51091, 50434, 54128, 74197, 51343, 51556, 52729, 51098, 51218, 51444, 52025, 51311, 51738, 51699, 51447, 51251, 51314, 51088, 51447, 50801, 53156, 63038, 50929, 51466, 50441, 51357, 51878, 50450, 51311, 50941, 50929, 65485, 53156, 57924, 54128, 72740, 51098, 50841, 51621, 50854, 59670, 51310, 51725, 52025, 50986, 51466, 50998, 51466, 52602, 51703, 51301, 51703, 51088, 51244, 51093, 51080, 51299, 78047, 53156, 62160, 51085, 52069, 51315, 52069, 50929, 52618, 66345, 50943, 50423, 50861, 51362, 50426, 50986, 50941, 50998, 65485, 55601, 56919, 50929, 65975, 50877, 56535, 52157, 50844, 52068, 50437, 50997, 52598, 50438, 51493, 51145, 51574, 53697, 51246, 51738, 50960, 51738, 55780, 51447, 51699, 51080, 51251, 51447, 51088, 51447, 51165, 51447, 50801, 53156, 63038, 50906, 51060, 50929, 55765, 50447, 50902, 51345, 50450, 51574, 51000, 51246, 50941, 72369, 50929, 50366, 51698, 53156, 50800, 51621, 70039, 50876, 52392, 53788, 50932, 51725, 52025, 51246, 51466, 51136, 51466, 52143, 51447, 51638, 51080, 51426, 51447, 51165, 51447, 51093, 51447, 50804, 51589, 59249, 50929, 52618, 61890, 63074, 51085, 51962, 50302, 51111, 50956, 62111, 57316, 51246, 50941, 51136, 56423, 60262, 51493, 51709, 50929, 65975, 50956, 51291, 50989, 51472, 51050, 51141, 53924, 52691, 51140, 51145, 51504, 51862, 51131, 51365, 51136, 51365, 51078, 51550, 52907, 51447, 51883, 51080, 51426, 51447, 51113, 51447, 51093, 51447, 50801, 53156, 50812, 53526, 52989, 51131, 50863, 51136, 50863, 51078, 56870, 51589, 50800, 55350, 63652, 76518, 54124, 50874, 59670, 51619, 50294, 51134, 51246, 52996, 50970, 52056, 50947, 52056, 50804, 62501, 50900, 51204, 50877, 50879, 51067, 55574, 50423, 50877, 54593, 53450, 52157, 51003, 51246, 67328, 64340, 50904, 51067, 50367, 51698, 50912, 51782, 51024, 52765, 50877, 67980, 50877, 52262, 50856, 52841, 51868, 73090, 51446, 51360, 51141, 51207, 51524, 51317, 51210, 50998, 51210, 51064, 63906, 50374, 52258, 50439, 50916, 51472, 50861, 51472, 50447, 51098, 54185, 52078, 51221, 51317, 50837, 50998, 69586, 50367, 51502, 55601, 51740, 52567, 51098, 56162, 60091, 51085, 51127, 50997, 51397, 55929, 50915, 51725, 52996, 51246, 52056, 51136, 52056, 51451, 61926, 62160, 50929, 55574, 51067, 55197, 51772, 50938, 51209, 50937, 64309, 51173, 50956, 58801, 64002, 51461, 51003, 51725, 50971, 51246, 50904, 51136, 50904, 50929, 50367, 51698, 50912, 67457, 56919, 51067, 57378, 50906, 68668, 58509, 50805, 55957, 52841, 51140, 51255, 51027, 51189, 51504, 52011, 50986, 51333, 51136, 51333, 51256, 50918, 50856, 55900, 50947, 52618, 50440, 50877, 51294, 50956, 51241, 50447, 57411, 54004, 51140, 51003, 70396, 51136, 55181, 56757, 50451, 50947, 56232, 50856, 50812, 59670, 60581, 51077, 51246, 51524, 50960, 51210, 50947, 51210, 51032, 51252, 51322, 51364, 50856, 59249, 51120, 51991, 51256, 51345, 50422, 67908, 50899, 58218, 52157, 55440, 51140, 50981, 50960, 63134, 80030, 50367, 51502, 55601, 56757, 50428, 50876, 70022, 78446, 50899, 50938, 52594, 50374, 52258, 50438, 52157, 50873, 51246, 52011, 50960, 51333, 51078, 51333, 51322, 51446, 51547, 51446, 50856, 63038, 51064, 52618, 50440, 50906, 51158, 50447, 52157, 56060, 51140, 50981, 70542, 51078, 63807, 55601, 56757, 50451, 50899, 52014, 50310, 64471, 51158, 51064, 56232, 50856, 50812, 55970, 50889, 52562, 51524, 50960, 51210, 50929, 51210, 51064, 58688, 62160, 50899, 51091, 73054, 72682, 51197, 51362, 50416, 51772, 51194, 50417, 51209, 65393, 52157, 62475, 51209, 50940, 51772, 52710, 51261, 51221, 50902, 54828, 50952, 50960, 76876, 69586, 50367, 51502, 50912, 51782, 51024, 68974, 50900, 51413, 51378, 51191, 50435, 52157, 63270, 64806, 78248, 50374, 52258, 50438, 51522, 50889, 51846, 52011, 50986, 51333, 51078, 51333, 51772, 51294, 50856, 63038, 51064, 52618, 50440, 51547, 50896 ]
[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 25771, 4785, 6, 1239, 5, 30443, 15, 10, 3366, 219, 6, 15352, 30054, 3251, 149, 980, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 24028, 30, 5, 3222, 5785, 9, 3459, 9590, 6, 3459, 13305, 6, 38668, 2236, 6, 38668, 483, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 5, 2125, 5705, 25614, 2629, 5, 33215, 16739, 9, 272, 119, 406, 8, 211, 119, 6, 2351, 10, 1472, 9, 30234, 1328, 63, 21734, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50903, 50838, 51768, 52718, 50903, 50838, 51955, 50838, 50799, 58065, 51801, 60608, 51801, 58004, 51801, 58471, 59201, 51921, 51000, 51039, 54090, 50864, 51186, 70337, 65128, 53354, 50864, 52111, 79567, 53354, 50864, 51302, 63314, 51011, 66937, 65128, 53354, 50864, 51999, 79567, 53354, 50864, 51974, 63314, 74960, 65128, 53354, 50864, 52224, 79567, 53354, 53945, 59201, 50945, 70337, 65128, 53354, 57917, 50852, 72405, 79567, 53354, 50864, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53354, 57291, 50852, 56375, 58504, 67359, 53354, 50904, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 53354, 50904, 52145, 58504, 67359, 53354, 55735, 59201, 51096, 70337, 67359, 53354, 50904, 52215, 58504, 67359, 53354, 50904, 51528, 63314, 52998, 67359, 53354, 50904, 51921, 58504, 67359, 53354, 77654, 54090, 50864, 51186, 70337, 77521, 53354, 50941, 52111, 58504, 77521, 53354, 50941, 51302, 63314, 52998, 77521, 53354, 50941, 51999, 58504, 77521, 53354, 50941, 51974, 63314, 74960, 77521, 53354, 50941, 52224, 58504, 77521, 53354, 54927, 59201, 50945, 70337, 77521, 53354, 63231, 50852, 72405, 58504, 77521, 53354, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 75532, 53354, 58554, 50852, 56375, 58504, 75532, 53354, 50971, 51382, 73413, 51104, 54090, 50864, 50945, 66937, 75532, 53354, 50971, 52145, 58504, 75532, 53354, 55835, 59201, 50953, 70337, 75532, 53354, 50971, 52215, 58504, 75532, 53354, 50971, 50799, 58065, 51243, 60608, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53354, 50971, 51921, 58504, 75532, 53354, 50971, 51039, 54090, 50864, 51186, 70337, 65128, 68730, 52111, 79567, 68730, 51302, 63314, 51011, 66937, 65128, 68730, 51999, 79567, 68730, 51974, 63314, 74960, 65128, 68730, 52224, 79567, 53844, 53945, 59201, 50945, 70337, 65128, 53844, 57917, 50852, 72405, 79567, 68730, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53844, 57291, 50852, 56375, 58504, 67359, 77512, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 77512, 52145, 58504, 67359, 53844, 55735, 59201, 51096, 70337, 67359, 77512, 52215, 58504, 67359, 77512, 50799, 58065, 51243, 58621, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53844, 50971, 51921, 58504, 77896, 68730, 51039, 54090, 50864, 51186, 70337, 77896, 68730, 52111, 58504, 77896, 68730, 51302, 63314, 52998, 77896, 68730, 51999, 58504, 50904, 53283, 50904, 77512, 51974, 63314, 74960, 50904, 53283, 50904, 77512, 52224, 58504, 50904, 53283, 50904, 53844, 54728, 59201, 50945, 70337, 50904, 53283, 50904, 53844, 61173, 50852, 72405, 58504, 50941, 53283, 50941, 53844, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 50941, 53283, 50941, 53844, 57298, 50852, 56375, 58504, 50941, 53283, 50941, 53844, 50941, 51382, 73413, 51104, 54090, 50864, 51096, 66937, 50941, 53283, 50941, 53844, 50941, 52145, 58504, 50971, 53283, 50971, 53844, 55835, 59201, 50964, 70337, 50971, 53283, 50971, 53844, 50971, 52215, 58504, 50971, 53283, 50971, 53844, 50971, 50799, 58065, 51801, 60608, 51801, 58004, 51801, 58471, 59201, 52998, 50971, 53283, 50971, 53844, 50971, 51921, 58504, 51000, 53283, 51000, 53844, 51000, 51039, 54090, 50864, 51186, 70337, 65128, 53354, 50864, 52111, 79567, 53354, 50864, 51302, 63314, 51011, 66937, 65128, 53354, 50864, 51999, 79567, 53354, 50864, 51974, 63314, 74960, 65128, 53354, 50864, 52224, 79567, 53354, 53945, 59201, 50945, 70337, 65128, 53354, 57917, 50852, 72405, 79567, 53354, 50864, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53354, 57291, 50852, 56375, 58504, 67359, 53354, 50904, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 53354, 50904, 52145, 58504, 67359, 53354, 55735, 59201, 51096, 70337, 67359, 53354, 50904, 52215, 58504, 67359, 53354, 50904, 51528, 63314, 52998, 67359, 53354, 50904, 51921, 58504, 67359, 53354, 77654, 54090, 50864, 51186, 70337, 77521, 53354, 50941, 52111, 58504, 77521, 53354, 50941, 51302, 63314, 52998, 77521, 53354, 50941, 51999, 58504, 77521, 53354, 50941, 51974, 63314, 74960, 77521, 53354, 50941, 52224, 58504, 77521, 53354, 54927, 59201, 50945, 70337, 77521, 53354, 63231, 50852, 72405, 58504, 77521, 53354, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 75532, 53354, 58554, 50852, 56375, 58504, 75532, 53354, 50971, 51382, 73413, 51104, 54090, 50864, 50945, 66937, 75532, 53354, 50971, 52145, 58504, 75532, 53354, 55835, 59201, 50953, 70337, 75532, 53354, 50971, 52215, 58504, 75532, 53354, 50971, 50799, 58065, 51243, 60608, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53354, 50971, 51921, 58504, 75532, 53354, 50971, 51039, 54090, 50864, 51186, 70337, 65128, 68730, 52111, 79567, 68730, 51302, 63314, 51011, 66937, 65128, 68730, 51999, 79567, 68730, 51974, 63314, 74960, 65128, 68730, 52224, 79567, 53844, 53945, 59201, 50945, 70337, 65128, 53844, 57917, 50852, 72405, 79567, 68730, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53844, 57291, 50852, 56375, 58504, 67359, 77512, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 77512, 52145, 58504, 67359, 53844, 55735, 59201, 51096, 70337, 67359, 77512, 52215, 58504, 67359, 77512, 50799, 58065, 51243, 58621, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53844, 50971, 51921, 58504, 77896, 68730, 51039, 54090, 50864, 51186, 70337, 77896, 68730, 52111, 58504, 77896, 68730, 51302, 63314, 52998, 77896, 68730, 51999, 58504, 50904, 53283, 50904, 77512, 51974, 63314, 74960, 50904, 53283, 50904, 77512, 52224, 58504, 50904, 53283, 50904, 53844, 54728, 59201, 50945, 70337, 50904, 53283, 50904, 53844, 61173, 50852, 72405, 58504, 50941, 53283, 50941, 53844, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 50941, 53283, 50941, 53844, 57298, 50852, 56375, 58504, 50941, 53283, 50941, 53844, 50941, 51382, 73413, 51104, 54090, 50864, 51096, 66937, 50941, 53283, 50941, 53844, 50941, 52145, 58504, 50971, 53283, 50971, 53844, 55835, 59201, 50964, 70337, 50971, 53283, 50971, 53844, 50971, 52215, 58504, 50971, 53283, 50971, 53844, 50971, 50799, 58065, 51801, 60608, 51801, 58004, 51801, 58471, 59201, 52998, 50971, 53283, 50971, 53844, 50971, 51921, 58504, 51000, 53283, 51000, 53844, 51000, 51039, 54090, 76128, 51186, 70337, 65128, 53354, 50864, 52111, 79567, 53354, 50864, 51302, 63314, 51011, 66937, 65128, 53354, 50864, 51999, 79567, 53354, 50864, 51974, 63314, 74960, 65128, 53354, 50864, 52224, 79567, 53354, 53945, 59201, 50945, 70337, 65128, 53354, 57917, 50852, 72405, 79567, 53354, 50864, 52129, 73413, 51104, 57656, 76128, 74960, 67359, 53354, 57291, 50852, 56375, 58504, 67359, 53354, 50904, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 53354, 50904, 52145, 58504, 67359, 53354, 55735, 59201, 51096, 70337, 67359, 53354, 50904, 52215, 58504, 67359, 53354, 50904, 51528, 63314, 52998, 67359, 53354, 50904, 51921, 58504, 67359, 53354, 77654, 54090, 76128, 51186, 70337, 77521, 53354, 50941, 52111, 58504, 77521, 53354, 50941, 51302, 63314, 52998, 77521, 53354, 50941, 51999, 58504, 77521, 53354, 50941, 51974, 63314, 74960, 77521, 53354, 50941, 52224, 58504, 77521, 53354, 54927, 59201, 50945, 70337, 77521, 53354, 63231, 50852, 72405, 58504, 77521, 53354, 50941, 52129, 73413, 51104, 57656, 76128, 74960, 75532, 53354, 58554, 50852, 56375, 58504, 75532, 53354, 50971, 51382, 73413, 51104, 54090, 50864, 50945, 66937, 75532, 53354, 50971, 52145, 58504 ]
[ 0, 250, 8787, 3495, 8, 3152, 24904, 2125, 6, 42, 15352, 30054, 15229, 30853, 23, 41, 178, 5285, 2877, 11, 163, 3694, 4, 11281, 33938, 8, 3459, 29589, 45552, 833, 19, 21979, 8669, 6, 150, 31391, 1672, 9590, 8, 13602, 6757, 694, 5581, 4, 20, 16331, 33215, 16739, 9, 272, 6, 211, 6, 3676, 6, 274, 10431, 6, 8, 163, 119, 31473, 10, 43580, 3693, 935, 6, 7630, 14805, 10, 5679, 26709, 8, 2829, 2933, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 51042, 53677, 53677, 50991, 61947, 51151, 54676, 51151, 53205, 51151, 54921, 51717, 51374, 51469, 50415, 51042, 53677, 55990, 50967, 68823, 50935, 50967, 50935, 50967, 51149, 50967, 68623, 51042, 50983, 51042, 50983, 50416, 51149, 61766, 51042, 53677, 60751, 51042, 53677, 53471, 53449, 50424, 50847, 51631, 50868, 63031, 61857, 50868, 63031, 57102, 50935, 74212, 50935, 51736, 51042, 51496, 50868, 51358, 50433, 51042, 51496, 50868, 51358, 50435, 50847, 58480, 50847, 51724, 51149, 55278, 50983, 50439, 51149, 55278, 58624, 50847, 63031, 63551, 50847, 63031, 53312, 50850, 57618, 61393, 50850, 57618, 50795, 74776, 51124, 50979, 51103, 57931, 51036, 56676, 51036, 57537, 51036, 53256, 50918, 51910, 51184, 62951, 51124, 50979, 66526, 50850, 53006, 50914, 50421, 50850, 53006, 50914, 50423, 50935, 60809, 50935, 51620, 50935, 60877, 61156, 50935, 60877, 54253, 51840, 50849, 50430, 51840, 53308, 50850, 53006, 51358, 50433, 50850, 53006, 51358, 50435, 50935, 58480, 50935, 51724, 50979, 50918, 50979, 71365, 51103, 50935, 50918, 50439, 50979, 50918, 50979, 71365, 51103, 50935, 50918, 57342, 56378, 50918, 61018, 51036, 54476, 51036, 57537, 51036, 53256, 51036, 51181, 73010, 50848, 56378, 54994, 50850, 55219, 79490, 50850, 55219, 59573, 51007, 79818, 51007, 51631, 52982, 51007, 61156, 52982, 51007, 54253, 59792, 50430, 51149, 51736, 50847, 55792, 50807, 50433, 50847, 55792, 62369, 51007, 50991, 50436, 51007, 60847, 50848, 56378, 61298, 50848, 56378, 53218, 50850, 55219, 50914, 50445, 50850, 55219, 50914, 50447, 51007, 50991, 50448, 51007, 59323, 50946, 60049, 63551, 50946, 60049, 53312, 50850, 55219, 66604, 50850, 55219, 62355, 61095, 50460, 61095, 63649, 52017, 61070, 51036, 54676, 51036, 53205, 51036, 54921, 51036, 51349, 51469, 50415, 51017, 52017, 60474, 53677, 60751, 50868, 53677, 53471, 53449, 50424, 50847, 51631, 50868, 55969, 61156, 50868, 55969, 54253, 50935, 74212, 50935, 51736, 50868, 55990, 51358, 50433, 50868, 55990, 51358, 50435, 50935, 62657, 50935, 52841, 50847, 51551, 51149, 50918, 50832, 57270, 50847, 51551, 51149, 50918, 50832, 63442, 69536, 52260, 50829, 56568, 53162, 50832, 56892, 69536, 57730, 57136, 69536, 56584, 57059, 69536, 59007, 58310, 50983, 58899, 51036, 54676, 51036, 53205, 51036, 52892, 51036, 51338, 73010, 50868, 58310, 60055, 50868, 53677, 60751, 50868, 53677, 53471, 53449, 50424, 50847, 51631, 50868, 53677, 78958, 50868, 53677, 73055, 56696, 50430, 50909, 51736, 50885, 55787, 50914, 50433, 50885, 55787, 50914, 50435, 50847, 58480, 50847, 51724, 51149, 50991, 61191, 50439, 51149, 50991, 50847, 56157, 50885, 53677, 59513, 50885, 53677, 53658, 80142, 50448, 50909, 59323, 50848, 56954, 57465, 50848, 56954, 52809, 50868, 55729, 51427, 50454, 50868, 55729, 73976, 50847, 50800, 52982, 50457, 50847, 50800, 52982, 50459, 50909, 59342, 50909, 50800, 64170, 57618, 56611, 50983, 74024, 58148, 51036, 54476, 51036, 53205, 51036, 54921, 51036, 54311, 51184, 65751, 57618, 56611, 50983, 50848, 60055, 51439, 50800, 53449, 50421, 51439, 50800, 53449, 50423, 50935, 65366, 50935, 52710, 50847, 59724, 50983, 65530, 59724, 50983, 50429, 70552, 50430, 51439, 51736, 50848, 56611, 60121, 50848, 56611, 53505, 50935, 58480, 50935, 51724, 60087, 59687, 72701, 50983, 50439, 60087, 59687, 72701, 60865, 51439, 54190, 50807, 50445, 51439, 54190, 62902, 50935, 60972, 50935, 51757, 71576, 50988, 51090, 50451, 71576, 50988, 63962, 50848, 56611, 66604, 50848, 56611, 62355, 50935, 59342, 50935, 50800, 57377, 50914, 50946, 52266, 61070, 51036, 54676, 51036, 53205, 51036, 52892, 51036, 51844, 51184, 51065, 54925, 75103, 50946, 52266, 60474, 55729, 79490, 50868, 55729, 59573, 50847, 50849, 50424, 50847, 53466, 50868, 55914, 51065, 56171, 50868, 55914, 50429, 56696, 50430, 50909, 51736, 50868, 55501, 50807, 50433, 50868, 55501, 62369, 50909, 58480, 50909, 51724, 56696, 51149, 50991, 51065, 56484, 56696, 51149, 62478, 50868, 51090, 74648, 79581, 51090, 74648, 50447, 71576, 50448, 50847, 67081, 79874, 51217, 51090, 51065, 56086, 79874, 51217, 63962, 50868, 59747, 50868, 52567, 50935, 59342, 50935, 50800, 64933, 51541, 51042, 51036, 57931, 51036, 56676, 51036, 57537, 51036, 53256, 51036, 54921, 51036, 51857, 51184, 51065, 54925, 51042, 51541, 51042, 56100, 50979, 59897, 60751, 50979, 59897, 53471, 50850, 60809, 50850, 51620, 50850, 53006, 53872, 56171, 50850, 53006, 54253, 51042, 51161, 50430, 51042, 73078, 50979, 59897, 68233, 50979, 59897, 58926, 50850, 58480, 50850, 51724, 50850, 50918, 51840, 50918, 51065, 56484, 50850, 50918, 51840, 56811, 51065, 50818, 64933, 53677, 53677, 50991, 51042, 51496, 61947, 51036, 54676, 51036, 53205, 51036, 54921, 51492, 51374, 51184, 50856, 55731, 51054, 54826, 69171, 57988, 57988, 51042, 53677, 55990, 51110, 72976, 50935, 50967, 50935, 50967, 51149, 50967, 68623, 51042, 51496, 50416, 51149, 61766, 51042, 53677, 79490, 51042, 53677, 59573, 50847, 50849, 50424, 50847, 53466, 50868, 53677, 62550, 56171, 50868, 53677, 57102, 50935, 74212, 50935, 51736, 51042, 51189, 50868, 52282, 50433, 51042, 51189, 50868, 52282, 50435, 50847, 58480, 50847, 51724, 51149, 50914, 74648, 51065, 50818, 56430, 50896, 50439, 51149, 50914, 50847, 58624, 50847, 55501, 62550, 50818, 59443, 50896, 50451, 50847, 55501, 53312, 50850, 57618, 61393, 50850, 57618, 50795, 74776, 51124, 50979, 50918, 57931, 51036, 56676, 51036, 57537, 51036, 53256, 50918, 51910, 52017, 50856, 55731, 51054, 56430, 51274, 62951, 51124, 50979, 54994, 50850, 53006, 51090, 50421, 50850, 53006, 51090, 50423, 50935, 60809, 50935, 51620, 50935, 60877, 53872, 56171, 50935, 60877, 54253, 51840, 74212, 51840, 51736, 50850, 53006, 51358, 54826, 69988, 50850, 53006, 51358, 50435, 50935, 62657, 50935, 52841, 50979, 50918, 50979, 51551, 50850, 50918, 50935, 50918, 51065, 50818, 62266, 51196, 50439, 50979, 50918, 50979, 51551, 50850, 50918, 50935, 56811, 51065, 50818, 57342, 50914, 50848, 51551, 61018, 51036, 54476, 51036, 57537, 51036, 53256, 51036, 51181, 51184, 50856, 55731, 51054, 62266, 69171, 62197, 50848, 77784, 50850, 55219, 60751, 50850, 55219, 53471, 51007, 79818, 51007, 51631, 50848, 71899, 69012, 50848, 71899, 60412, 59792, 50430, 51149, 51736, 50847, 56548, 50914, 50433, 50847, 56548, 50914, 50435, 51007, 50991, 50436, 51007, 60847, 50848, 56378, 51090, 54826, 51090, 50439, 50848, 56378, 63437, 50850, 55219, 50807, 50445, 50850, 55219, 62902, 51007, 50991, 50448, 51007, 59323, 50946, 60049, 51090, 56430, 51090, 50451, 50946, 60049, 63962, 50850, 55219, 66604, 50850, 55219, 62355, 61095, 50460, 61095, 63649, 51036, 61070, 51036, 54676, 51036, 53205, 51036, 54921, 51036, 51349, 52017, 51065, 51054, 62528, 50911, 50415, 51017, 64163, 56941, 51427, 60474, 53677, 50911, 56430, 77287, 50868, 53677, 78443, 53449, 62528, 50911, 50424, 50847, 51631, 50868, 55969, 53872, 51460, 56941, 52266, 50427, 50868, 55969, 54253, 50935, 50795, 56430, 74875, 50935, 51736, 50868, 55990, 51977, 62528, 75405, 50868, 55990, 51977, 50435, 50935, 53521, 50949, 56430, 50882, 50436, 50935, 53521, 71150, 51065, 54968, 50847, 51551, 51149, 51103, 51065, 51460, 65778, 51551, 50439, 50847, 51551, 51149, 51103, 50447, 51065, 72989, 51065, 71928, 51065, 55245, 51065, 51460, 50459, 51065, 50949, 50460, 51065 ]
[ 0, 250, 20902, 3495, 8, 5175, 2214, 14, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 15352, 30054, 15229, 4, 20, 13305, 6, 38668, 20535, 6, 2382, 3459, 8669, 6, 8, 6755, 12547, 283, 561, 7, 1045, 10, 33558, 8, 2365, 12, 6928, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 9, 17072, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 51658, 50853, 50618, 56385, 53222, 56353, 58073, 53563, 53222, 57841, 58073, 50895, 50799, 52685, 51192, 52107, 51192, 52730, 51192, 67499, 51160, 54326, 50980, 56361, 51500, 51206, 53971, 50817, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 50938, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 50918, 54992, 51148, 51876, 51030, 52399, 50961, 51280, 50940, 51144, 51014, 51119, 52422, 51068, 54473, 50883, 51876, 58465, 51280, 50858, 51144, 50821, 51119, 52686, 50843, 59873, 51876, 50884, 51658, 51031, 53391, 51103, 52888, 51047, 53873, 51127, 51198, 50921, 51099, 50921, 51308, 60224, 51068, 53500, 53759, 50883, 51869, 57782, 51198, 50921, 51099, 51033, 51308, 58631, 51068, 52538, 57886, 51869, 55577, 50843, 50883, 51198, 50880, 51099, 50930, 51308, 50880, 51755, 50817, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 50938, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 51291, 54992, 51535, 51876, 51021, 52399, 50961, 51280, 50930, 51144, 50880, 51119, 53087, 51068, 54473, 50883, 51876, 63043, 51280, 50940, 51144, 50882, 51119, 52686, 50843, 55622, 55699, 50923, 51555, 51021, 51479, 50884, 51026, 53108, 50311, 72336, 57330, 50887, 51783, 51239, 64200, 50366, 53746, 50928, 51050, 53108, 50309, 51819, 51618, 64200, 53068, 55699, 50923, 51555, 51030, 52574, 52439, 50381, 53746, 50846, 51026, 53108, 50311, 64109, 57330, 50821, 51783, 54020, 50898, 50818, 51050, 53108, 50309, 51819, 50799, 51612, 54089, 52685, 51192, 52107, 51192, 52730, 51192, 51206, 53971, 50817, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 67922, 57422, 50415, 54326, 50980, 56361, 51500, 67499, 50980, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 50918, 54992, 51148, 51876, 51030, 52399, 50961, 51280, 50940, 51144, 51014, 51119, 52422, 51068, 54473, 50883, 51876, 58465, 51280, 50858, 51144, 50821, 51119, 52686, 50843, 59873, 51876, 50884, 51658, 51031, 53391, 51103, 52888, 51047, 53873, 51127, 51198, 50921, 51099, 50921, 51308, 60224, 51068, 53500, 53759, 50883, 51869, 57782, 51198, 50921, 51099, 51033, 51308, 58631, 51068, 52538, 57886, 51869, 55577, 50843, 50883, 51198, 50880, 51099, 50930, 51308, 50880, 50799, 51612, 54484, 58074, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 67922, 78197, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 51291, 54992, 51535, 51876, 51021, 52399, 50961, 51280, 50930, 51144, 50880, 51119, 53087, 51068, 54473, 50883, 51876, 63043, 51280, 50940, 51144, 50882, 51119, 52686, 50843, 50961, 53357, 50384, 61093, 55089, 51695, 55757, 58073, 51467, 52878, 51722, 51388, 51612, 51388, 52290, 50923, 53222, 54094, 53989, 53766, 50961, 50906, 55177, 50902, 55177, 50951, 55177, 50447, 58073, 51139, 53409, 53222, 55089, 55255, 56246, 51584, 51030, 51567, 50911, 52037, 64800, 64890, 55177, 50876, 55177, 50931, 55177, 50456, 51326, 54625, 51289, 50895, 52563, 51388, 54307, 53073, 51722, 51566, 51612, 51566, 52290, 51566, 52685, 51192, 52107, 51192, 52730, 51192, 51335, 54376, 50817, 71671, 51099, 50911, 51308, 61505, 53700, 50902, 53700, 50951, 53700, 50415, 54326, 50980, 56361, 51500, 67499, 50980, 51039, 68204, 50846, 51193, 50895, 51185, 54579, 50953, 50962, 52093, 79873, 51099, 50884, 51308, 52639, 50801, 73583, 55212, 51198, 50883, 51099, 50883, 51308, 50884, 51020, 50895, 51193, 50895, 51185, 52209, 50953, 51130, 53442, 51105, 51388, 58074, 51561, 50806, 51099, 51173, 51308, 50806, 51341, 51158, 51020, 51158, 51193, 51158, 51180, 54525, 74041, 51479, 50841, 51561, 50887, 51099, 50846, 74603, 51341, 68204, 50828, 51193, 52555, 51068, 52538, 53563, 74041, 51479, 50828, 51144, 50967, 51119, 51235, 51153, 51175, 51061, 51178, 51023, 50991, 51092, 50991, 52354, 51138, 51783, 50940, 51584, 50800, 51567, 50821, 52037, 53287, 50817, 50871, 55044, 50877, 55044, 50876, 55044, 50931, 55044, 50420, 51783, 50887, 51584, 50809, 51567, 50890, 52037, 51421, 50820, 51144, 50883, 51119, 50961, 51153, 50895, 51061, 50895, 68244, 51092, 71581, 52992, 68171, 51783, 51014, 51584, 50921, 51567, 50894, 52037, 53558, 73583, 67805, 52925, 51783, 50890, 51584, 50809, 51567, 50890, 52037, 50890, 52093, 50435, 51783, 50940, 51584, 50952, 51567, 50940, 52037, 50952, 53357, 51286, 58074, 51394, 50880, 53089, 59779, 51099, 50895, 51308, 50961, 51275, 50884, 51020, 50895, 51193, 50895, 51185, 53885, 51555, 50923, 51722, 50893, 51612, 50923, 52290, 50806, 52107, 51130, 50841, 51384, 50961, 50861, 55177, 50906, 55177, 50902, 55177, 50951, 55177, 50447, 63485, 52544, 54441, 76967, 51690, 54755, 52730, 61474, 52538, 50883, 51926, 55726, 51722, 51021, 51612, 50936, 52290, 51021, 53755, 51030, 54326, 50890, 53089, 50890, 51099, 50884, 51308, 50895, 51275, 68204, 50895, 51193, 50895, 51185, 50883, 50906, 55177, 50902, 55177, 50951, 55177, 51081, 55177, 50456, 51186, 50821, 52730, 54452, 64707, 51926, 59022, 52544, 50880, 51690, 50841, 52563, 50923, 51555, 51362, 51722, 50896, 51612, 51090, 52290, 51090, 52730, 52195, 58074, 51926, 50890, 75916, 51308, 50806, 51275, 56294, 53700, 50906, 53700, 50902, 53700, 50951, 53700, 51039, 50846, 51262, 50895, 51020, 73938, 50883, 51185, 50818, 51510, 50828, 51099, 50895, 51308, 50818, 51275, 50884, 51250, 53425, 50953, 51460, 50801, 73583, 50883, 51543, 58288, 51099, 50961, 51308, 50961, 51275, 50883, 51543, 74716, 50895, 51193, 75252, 73177, 50846, 51250, 54968, 51105, 51286, 58074, 51561, 51388, 51099, 51192, 51308, 51286, 51543, 50923, 51341, 51173, 51020, 51060, 51193, 51192, 51180, 54525, 71597, 51479, 50841, 51561, 50895, 51099, 50846, 51308, 50880, 51543, 50880, 51341, 50895, 60572, 51193 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 5466, 6, 17407, 30, 63, 9066, 8, 3722, 223, 34693, 4, 20, 20535, 2810, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 1893, 43639, 283, 561, 7, 1045, 10, 13363, 28191, 33301, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 1769, 20889, 9, 21448, 13410, 228, 2289, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 272, 401, 6, 230, 6, 8, 274, 12748, 5, 46336, 4811, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 51648, 50838, 53170, 51080, 55479, 75856, 51776, 52688, 51648, 53052, 51776, 52718, 51648, 50838, 53170, 55608, 51776, 53086, 51648, 52985, 51888, 50838, 52306, 51080, 55479, 51592, 50456, 51776, 50838, 58402, 51888, 54177, 51776, 52688, 51888, 50838, 52306, 53052, 53170, 52718, 52578, 50838, 52002, 51080, 52449, 51592, 50444, 51648, 52985, 52578, 53581, 51648, 50838, 58402, 51648, 50838, 52991, 56115, 52002, 53004, 52578, 53591, 51648, 52580, 52099, 50838, 53388, 51592, 50432, 52310, 52718, 52099, 63323, 52578, 52985, 53170, 53581, 52002, 50838, 58402, 51776, 50838, 53559, 75856, 51888, 52688, 51776, 53052, 53170, 52718, 54409, 55608, 53170, 53086, 51776, 54043, 51888, 52989, 52366, 51080, 53559, 51592, 50456, 51683, 50838, 58402, 51776, 54177, 51683, 52688, 51776, 50838, 52366, 55665, 51683, 52718, 51713, 50838, 52002, 51283, 52495, 51592, 50444, 51683, 52985, 51713, 53581, 51776, 50838, 58402, 51776, 56115, 51713, 53004, 51888, 53591, 51683, 52580, 55497, 51680, 52449, 79309, 52681, 52718, 52449, 73196, 52681, 52985, 55497, 55116, 52449, 56109, 52681, 50838, 52449, 51801, 58402, 55497, 51801, 52248, 52826, 52269, 52826, 52889, 52826, 50450, 51713, 50932, 65167, 50932, 58402, 52002, 50932, 57619, 54869, 52306, 50932, 54783, 54498, 54822, 51592, 54978, 51592, 52495, 51592, 50450, 52002, 50932, 52306, 50932, 58402, 52002, 50932, 52306, 54869, 56582, 51592, 54067, 51592, 52239, 51592, 50438, 52366, 50932, 52991, 54980, 52366, 50932, 52991, 50932, 58402, 54409, 50932, 54560, 50932, 52269, 67778, 51888, 50932, 51776, 50932, 52991, 50932, 54699, 55665, 54409, 51283, 54560, 64025, 51888, 50932, 51776, 54980, 52991, 51283, 54699, 51283, 52681, 51592, 58402, 51713, 50932, 52366, 57410, 54409, 50838, 54560, 52688, 51713, 50932, 52366, 50932, 52991, 50932, 54699, 54498, 52306, 51592, 54783, 51592, 52495, 51592, 50450, 51713, 50932, 52002, 50932, 58402, 51713, 50932, 52002, 54869, 51913, 50932, 51713, 50932, 65167, 50932, 52495, 51592, 50438, 51683, 50932, 51776, 50932, 57964, 54980, 51713, 50932, 52002, 50932, 57619, 50932, 58402, 52306, 51592, 54783, 51592, 53856, 67778, 51888, 50932, 52002, 54498, 51888, 50932, 52002, 54980, 52991, 51592, 54699, 51592, 52706, 51592, 58402, 51713, 50932, 52002, 54869, 51713, 50932, 52002, 54498, 51648, 51283, 51776, 51283, 52306, 51283, 54783, 51283, 55479, 51592, 50456, 51776, 50838, 57964, 50838, 58402, 52310, 50932, 51648, 50932, 51776, 50932, 57964, 54869, 51776, 51592, 57964, 51592, 52822, 51592, 50438, 51683, 50932, 51888, 54980, 51683, 50932, 51888, 50932, 58402, 52822, 67778, 51683, 50932, 51888, 50932, 51776, 54498, 51683, 50932, 51888, 50932, 51776, 54980, 52306, 50932, 54783, 50932, 55497, 51801, 58402, 51683, 50932, 51713, 50932, 52002, 50932, 57619, 54869, 51713, 50932, 52002, 50932, 52306, 50932, 54783, 54498, 54822, 51592, 54978, 51592, 53427, 51592, 50450, 52366, 50932, 52991, 50932, 58402, 52366, 50932, 52991, 54869, 52991, 51592, 54699, 51592, 53427, 51592, 50438, 51713, 50932, 52366, 54980, 51713, 50932, 52366, 50932, 58402, 52306, 50932, 54783, 50932, 55497, 51801, 50426, 51683, 51080, 51713, 51080, 52002, 50932, 57619, 54498, 51776, 50932, 57964, 54980, 51713, 51592, 65167, 51592, 52706, 51592, 58402, 51913, 50932, 51648, 54869, 51913, 50932, 51648, 54498, 51776, 51592, 57964, 51592, 55479, 51592, 50450, 52310, 50932, 51648, 50932, 58402, 52310, 50932, 51648, 54869, 52002, 50932, 57619, 50932, 52822, 51592, 50438, 51683, 50932, 51888, 50932, 51776, 50932, 57964, 54980, 51683, 50932, 51888, 50932, 52002, 50932, 57619, 50932, 58402, 52306, 51592, 54783, 51592, 55497, 51801, 50426, 51713, 50932, 52002, 54498, 51713, 50932, 52002, 54980, 52991, 51592, 54699, 51592, 53427, 51592, 58402, 51713, 50932, 52366, 54869, 51713, 50932, 52366, 54498, 51888, 51592, 51776, 50932, 57964, 50932, 52822, 66405, 52002, 50932, 57619, 51283, 58402, 52002, 50838, 52822, 57410, 51776, 50838, 57964, 52688, 51683, 50838, 52002, 51080, 65167, 51592, 55497, 52826, 50432, 51713, 52718, 51683, 53624, 51713, 52985, 51683, 50838, 52002, 55371, 51713, 53176, 51683, 50838, 51683, 53233, 58402, 51648, 50838, 52366, 51080, 55497, 51801, 50420, 51713, 52688, 51648, 53052, 51713, 52718, 51648, 50932, 52366, 53624, 52002, 52985, 51888, 50838, 51776, 51080, 52822, 51592, 50456, 51683, 51283, 58402, 51888, 54177, 51683, 54869, 51683, 50932, 52306, 54889, 51776, 52739, 51888, 53720, 51683, 51801, 50438, 52425, 50838, 53856, 51592, 50444, 51913, 52985, 52425, 51080, 50456, 51888, 50838, 58402, 52002, 54177, 51776, 52688, 51713, 50838, 52706, 51592, 50432, 51913, 52718, 51648, 53624, 51888, 52985, 51713, 53581, 51648, 50838, 58402, 51888, 51080, 52822, 75856, 51963, 52688, 51683, 51801, 50432, 51963, 52718, 51906, 50838, 51888, 53624, 51963, 52985, 51913, 50838, 51713, 51592, 52822, 51592, 50456, 51906, 50838, 58402, 51913, 54177, 51906, 52688, 51913, 53052, 51906, 52718, 51683, 51801, 51713, 51592, 52366, 51592, 52822, 51592, 58402, 50426, 51713, 50932, 65167, 54498, 52002, 50932, 57619, 54980, 52306, 50932, 54783, 50932, 58402, 54822, 51592, 54978, 51592, 55497, 51801, 50426, 52002, 50932, 52306, 54498, 52002, 50932, 52306, 54980, 56582, 51592, 54067, 51592, 55479, 51592, 58402, 52366, 50932, 52991, 54869, 52366, 50932, 52991, 54498, 54409, 50932, 54560, 50932, 52822, 51592, 50450, 51888, 50932, 51776, 50932, 52991, 50932, 54699, 56109, 54409, 51283, 54560, 51283, 58402, 51888, 50932, 51776, 54869, 52991, 51283, 54699, 51283, 53427, 51592, 50438, 51713, 50932, 52366, 56350, 54409, 50838, 54560, 52985, 51713, 50932, 52366, 50932, 52991, 50932, 54699, 50932, 58402, 52306, 51592, 54783, 51592, 52495, 67778, 51713, 50932, 52002, 54498, 51713, 50932, 52002, 54980, 51913, 50932, 51713, 50932, 65167, 50932, 52495, 51592, 58402, 51683, 51801, 51776, 50932, 57964, 54869, 51713, 50932, 52002, 50932, 57619, 54498, 52306, 51592, 54783, 51592, 53856, 51592, 50450, 51888, 50932, 52002, 50932, 58402, 51888, 50932, 52002, 54869, 52991, 51592, 54699, 51592, 52706, 51592, 50438, 51713, 50932, 52002, 54980, 51713, 50932, 52002, 50932, 58402, 51648, 51283, 51776, 51283, 52306, 51283, 54783, 51283, 55479, 51592, 50432, 51776, 50838, 57964, 52718, 52310, 50932, 51648, 50932, 51776, 50932, 57964, 54980, 51776, 51592, 57964, 51592, 52822, 51592, 58402, 51683, 51080, 51888, 54869, 51683, 51592, 51888, 54498, 52822, 51592, 50450, 51683, 51080, 51888, 50932, 51776, 50932, 58402, 51683, 51592, 51888, 50932, 51776, 54869, 52306, 50932, 54783, 50932, 55497, 51801, 50438, 51683, 51801, 51713, 50932, 52002, 50932, 57619, 54980, 51713, 50932, 52002, 50932, 52306, 50932, 54783, 50932, 58402, 54822, 51592, 54978, 51592, 53427, 67778, 52366, 50932, 52991, 54498, 52366, 50932, 52991, 54980, 52991, 51592, 54699, 51592, 53427, 51592, 58402, 51713, 50932, 52366, 54869, 51713, 50932, 52366, 54498, 52306, 50932, 54783, 50932, 55497, 51801, 50450, 51683, 51801, 51713, 51080, 52002, 50932, 57619, 50932, 58402, 51776, 50932, 57964, 54869, 51713, 51592, 65167, 51592, 52706, 51592, 50438, 51913, 50932, 51648, 54980, 51913, 50932, 51648, 50932, 58402, 51776, 51592, 57964, 51592, 55479, 67778, 52310, 50932, 51648, 54498, 52310, 50932, 51648, 54980, 52002, 50932, 57619 ]
[ 0, 250, 765, 37903, 9, 15855, 19834, 930, 6, 4246, 10, 6755, 12547, 6, 1893, 43639, 6, 13305, 6, 21072, 6, 8, 7213, 19258, 6648, 337, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 7630, 6568, 41, 9066, 8, 25306, 5466, 6, 10686, 13, 814, 50, 4149, 5422, 4, 20, 20299, 29769, 198, 10, 13931, 9, 230, 6, 83, 6, 211, 119, 6, 8, 272, 73, 495, 40286, 6, 1271, 7, 5, 11653, 8, 822, 12, 3341, 1318, 9, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51711, 50824, 52626, 50824, 51656, 51745, 51743, 51745, 51711, 51745, 54720, 51870, 50415, 55025, 50811, 50876, 58297, 54235, 50930, 50421, 54235, 56299, 55025, 50961, 50424, 54235, 80148, 52626, 50824, 59151, 54107, 55025, 50895, 51062, 71030, 54235, 64362, 54235, 73247, 55025, 72090, 54235, 59382, 55025, 61023, 55430, 51870, 50436, 54235, 50883, 52735, 50824, 57204, 50824, 50437, 55025, 51014, 51838, 51745, 50438, 51081, 50824, 51881, 50949, 52332, 50824, 51656, 51237, 50439, 54235, 60464, 54235, 69824, 55025, 69354, 55025, 65866, 52430, 50824, 50448, 54235, 50949, 55815, 51059, 50449, 55025, 77698, 63399, 54235, 56353, 54235, 66222, 55025, 70000, 54235, 64963, 55025, 57841, 53129, 50824, 53817, 51870, 51615, 52827, 51863, 51407, 51838, 51407, 50460, 54235, 50961, 55248, 73300, 55025, 50949, 51114, 50824, 51601, 54235, 50961, 50416, 55025, 51010, 50419, 54235, 54892, 55025, 76255, 54235, 56828, 55025, 51010, 52137, 51059, 50424, 54307, 50824, 50425, 54235, 52717, 50323, 51059, 50427, 55025, 62753, 54235, 71373, 55025, 56257, 54235, 67725, 55025, 54496, 54235, 51010, 50436, 52886, 51059, 64298, 51059, 52133, 51870, 50437, 55025, 59266, 54235, 50962, 50770, 50320, 51352, 50770, 50321, 51795, 51146, 51059, 50440, 55025, 79744, 54235, 51010, 50443, 55025, 51010, 50445, 54235, 63281, 52225, 50993, 51615, 51932, 51711, 51072, 50447, 55025, 51010, 50448, 59151, 51059, 50449, 54235, 51031, 53828, 63399, 55025, 50811, 51430, 50824, 50452, 54235, 76083, 55025, 57701, 54235, 74890, 55025, 67172, 54235, 51031, 50460, 51743, 53435, 51656, 51795, 51711, 54055, 52036, 51795, 54720, 52379, 50461, 55025, 51010, 53718, 51184, 50799, 54235, 50388, 55550, 58329, 58840, 50824, 51339, 51795, 57204, 50817, 55815, 61912, 50723, 50352, 66350, 51062, 51505, 54922, 58595, 69633, 51012, 55111, 50976, 50427, 51081, 51012, 50431, 59128, 51505, 50432, 50951, 51354, 54515, 51483, 50438, 62547, 52512, 50439, 50999, 51745, 56101, 51761, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 8, 33558, 3495, 3152, 1619, 2214, 11, 211, 538, 6, 4246, 10, 15352, 30054, 15229, 19, 10, 20889, 9, 5962, 163, 5683, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 33215, 16739, 9, 211, 401, 6, 211, 6, 8, 272, 1271, 7, 63, 17627, 17274, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 53053, 51505, 52375, 50860, 54338, 51021, 50988, 57053, 56713, 50978, 63833, 52166, 53227, 52375, 50952, 54338, 50940, 50861, 51328, 50902, 51043, 50973, 51412, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51033, 52375, 51030, 54338, 72226, 57053, 56713, 50987, 63833, 53316, 52953, 73654, 52294, 50901, 52874, 57864, 51642, 50973, 51852, 50902, 51412, 50935, 55969, 55711, 50977, 66738, 51931, 59501, 51090, 51622, 51016, 52375, 76692, 59718, 56238, 50987, 67561, 52166, 53041, 50861, 51172, 50973, 51484, 73895, 50935, 55969, 56659, 65376, 50849, 60583, 51374, 51238, 52294, 50807, 52874, 51016, 60624, 57767, 58617, 63833, 56319, 53217, 50861, 51172, 50973, 51534, 50902, 51203, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51388, 52375, 51045, 54338, 51014, 50988, 60366, 58507, 50978, 78343, 52455, 52981, 52375, 50910, 54338, 65022, 51172, 50973, 51645, 50902, 51203, 50935, 57486, 56611, 50937, 50988, 50937, 59195, 51137, 51033, 52375, 51012, 54338, 51952, 50299, 59718, 56713, 51058, 67561, 53316, 52818, 51374, 50921, 52294, 50873, 52874, 57864, 51576, 50973, 51576, 50902, 51411, 50935, 55969, 56659, 50937, 66738, 51956, 59501, 51054, 52375, 79752, 59718, 56238, 50987, 67561, 52455, 56866, 51622, 51073, 58365, 51172, 50973, 51576, 50902, 51411, 50935, 55969, 56659, 65376, 50849, 60583, 51374, 50991, 52294, 51162, 52874, 51345, 50988, 51006, 58661, 58617, 63833, 56319, 53137, 50861, 51775, 50973, 51484, 50902, 51411, 50935, 54703, 55711, 50977, 66738, 51956, 53053, 51388, 52375, 50860, 54338, 51021, 50988, 57053, 56713, 50978, 63833, 52166, 53227, 52375, 50910, 54338, 65022, 51775, 50973, 51775, 73895, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51033, 52375, 51030, 54338, 72226, 57053, 56713, 50987, 63833, 53316, 52953, 73654, 52294, 50901, 52874, 57864, 51484, 50973, 51484, 73895, 50935, 55969, 55711, 50977, 66738, 51931, 59501, 51054, 51622, 51013, 52375, 51016, 50988, 59718, 56238, 50987, 67561, 52166, 53041, 50973, 51172, 50902, 51203, 76964, 50935, 55969, 56659, 65376, 50849, 60583, 51374, 51238, 52294, 50807, 52874, 51016, 60624, 57767, 58617, 63833, 56319, 53217, 50861, 51277, 50902, 51212, 50973, 51642, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51505, 52375, 51138, 54338, 51021, 50988, 60925, 60398, 51058, 59995, 52455, 52981, 52375, 50952, 54338, 50921, 50861, 51172, 50876, 51363, 50968, 51203, 50909, 55363, 58310, 50937, 50988, 50937, 59195, 51137, 51033, 52375, 51012, 54338, 51952, 50299, 59847, 57371, 51058, 62137, 53316, 52818, 73654, 52294, 50873, 52874, 57864, 51328, 77114, 50968, 51212, 50909, 55501, 55109, 50937, 66738, 51956, 59501, 51566, 51622, 51566, 52375, 53531, 50310, 51524, 61048, 74952, 50946, 67682, 67921, 51006, 65890, 52455, 53041, 50989, 51051, 57634, 71363, 50850, 57898, 56659, 60884, 54792, 51239, 52805, 51374, 51238, 52294, 51400, 52874, 51112, 70253, 58254, 50989, 52179, 50946, 51006, 58661, 67169, 64803, 56319, 53137, 50877, 62597, 52415, 50310, 70111, 57999, 55711, 50977, 62081, 55901, 50835, 53053, 51379, 62762, 53318, 50311, 50984, 50973, 50907, 58254, 50988, 57053, 56713, 50978, 63833, 52219, 52281, 53227, 58401, 50921, 50861, 51534, 50973, 51412, 50902, 51255, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51215, 50988, 57053, 56713, 50987, 63833, 53316, 52953, 58085, 79237, 51172, 50973, 51576, 50902, 51411, 50935, 55969, 55711, 50977, 66738, 51931, 57842, 51167, 50988, 59718, 56238, 50987, 67561, 52166, 53041, 57120, 51227, 50861, 51172, 50973, 51172, 50902, 51363, 50935, 55969, 56659, 65376, 50849, 60583, 51137, 51175, 60624, 57767, 58617, 63833, 56319, 53217, 76964, 50973, 51480, 73895, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51235, 74418, 51286, 50988, 59718, 56785, 50978, 67561, 52455, 52981, 57120, 50858, 79270, 50973, 51233, 50902, 51194, 50935, 57486, 56611, 50937, 50988, 50937, 59195, 51137, 51238, 58108, 50930, 50988, 59718, 56713, 51058, 67561, 53316, 52818, 57120, 51745, 50861, 51642, 50902, 51043, 50973, 51363, 50935, 55969, 56659, 50937, 66738, 51956, 57842, 51160, 50988, 59718, 56238, 50987, 67561, 52455, 53041, 74091, 50973, 51337, 50902, 51043, 50935, 55969, 56659, 65376, 50849, 60583, 51137, 51238, 50988, 51006, 58661, 58617, 63833, 56319, 53137, 50861, 51642, 50973, 51412, 50902, 51203, 50935, 54703, 55711, 50977, 66738, 51956, 53053, 51379, 62762, 67845, 57053, 56713, 50978, 63833, 52166, 53227, 58401, 50942, 50861, 51642, 50973, 51043, 50902, 51194, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51215, 50988, 57053, 56713, 50987, 63833, 53316, 52953, 58085, 78828, 51309, 50973, 51233, 50902, 51043, 50935, 55969, 55711, 50977, 66738, 51931, 57842, 51167, 50988, 59718, 56238, 50987, 67561, 52166, 53041, 57120, 51060, 50973, 71665, 51645, 50902, 51255, 50935, 55969, 56659, 65376, 50849, 60583, 51137, 51175, 60624, 57767, 58617, 63833, 56319, 53217, 79270, 50973, 51043, 50902, 51043, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51235, 74418, 51021, 50988, 59718, 56785, 50978, 67561, 52455, 52981, 57120, 63333, 57777, 51121, 50973, 51178, 50935, 57486, 56611, 50937, 50988, 50937, 59195, 51137, 51238, 58108, 50940, 50861, 50982, 50988, 59718, 56713, 51058, 67561, 53316, 52818, 57120, 51343, 73054, 78434, 50973, 51124, 50935, 55969, 56659, 50937, 66738, 51956, 57842, 51160, 50988, 59718, 56238, 50987, 67561, 52455, 53041, 59856, 58222, 50973, 50955, 50935, 55969, 56659, 65376, 54792, 51239, 52805, 51137, 51238, 62680, 50902, 57069, 51043, 50988, 51006, 58661, 58617, 63833, 56319, 53137, 50861, 51852, 50935, 54703, 55711, 50977, 66738, 55901, 50835, 54309, 51379, 58108, 52195, 50988, 60925, 60398, 51058, 59995, 52166, 53227, 60215, 50968, 51233, 50861, 51363, 50909, 55363, 58310, 50937, 50988, 50937, 57451, 51338, 51215, 50876, 52179, 50988, 59847, 57371, 51058, 62137, 53316, 52953, 76964, 50876, 51411, 50968, 51480, 50909, 55501, 55109, 50937, 66738, 51931, 54683, 51167, 58085, 52195, 50988, 60925, 60398, 51058, 59995, 52166, 53041, 50861, 51172, 50968, 51203, 71090, 50909, 55363, 58310, 50937, 50988, 50937, 60583, 51338, 51175, 50988, 59847, 57371, 51058, 62137, 56319, 53217, 76684, 50968, 51212, 50876, 51312, 50909, 55501, 55109, 50937, 66738, 51471, 53447, 51235, 58108, 68438, 67682, 67921, 51006, 65890, 52455, 52981, 57120, 50830, 50989, 51412, 79725, 50902, 51203, 50850, 57898, 56659, 60884, 50849, 59195, 51181, 51238, 57120, 51030, 50946, 51006, 58661, 67169, 64803, 53316, 52818, 69108, 50859, 50989, 51797, 50877, 51233, 73054, 50850, 57999, 55711, 50977, 62081, 51956, 59501, 51160, 74418, 51030, 50946, 67682, 67921, 51006, 65890, 52455, 53041, 57120, 50858, 50989, 52063, 50877, 51642, 50902, 51043, 50850, 57898, 56659, 60884, 50849, 60583, 51181, 51238, 58108, 51227, 50946, 51006, 58661, 67169, 64803, 56319, 53137, 64144, 50989, 53536, 50313, 51006, 50850, 57999, 55711, 50977, 62081, 51956, 53053, 51388, 54338, 51014, 52375, 50860, 69108, 51745, 50988, 57053, 56713, 50978, 63833, 52166, 53227, 52375, 50952, 54338, 50940, 50861, 51775, 50973, 51775, 73895, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51033, 52375, 51030, 54338, 72226, 57053, 56713, 50987, 63833, 53316, 52953, 73654, 52294, 50901, 52874, 57864, 51484, 50973, 51484 ]
[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 9590, 6, 13305, 6, 8, 21072, 6, 702, 11, 10, 2635, 1614, 1073, 1020, 20889, 4, 85, 18, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 16, 83, 406, 6, 211, 6, 8, 272, 4, 20, 1349, 16, 1341, 765, 11, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 50868, 58178, 68341, 50820, 50968, 54452, 51187, 55614, 51150, 51356, 51402, 59740, 50968, 54658, 50804, 51392, 57987, 50968, 56299, 59227, 50847, 58886, 50806, 53026, 59095, 50968, 52247, 53026, 54694, 50868, 51060, 71094, 76372, 50847, 78235, 61816, 52420, 50898, 54002, 53026, 53219, 50935, 62626, 59778, 50809, 51098, 51196, 50902, 54441, 51187, 54735, 50902, 50890, 52093, 50444, 50902, 54332, 50898, 54255, 67102, 50935, 55196, 68550, 50806, 53026, 53035, 53026, 54363, 73420, 62873, 52093, 50456, 64017, 50935, 77607, 51158, 52777, 54370, 79673, 57342, 58720, 72736, 50828, 51273, 51661, 50876, 54452, 51187, 55221, 50876, 51864, 52981, 50876, 55060, 51392, 54069, 50944, 56263, 50879, 53026, 59095, 50876, 60445, 53026, 54694, 50848, 62879, 50858, 76372, 50944, 50921, 50850, 67048, 50910, 52777, 54002, 53026, 53219, 50868, 63722, 50880, 51150, 78726, 55024, 51187, 54735, 50935, 70689, 50841, 51668, 69665, 51420, 52878, 50850, 50830, 74232, 51216, 65481, 50805, 52777, 54255, 53026, 53035, 51042, 51233, 50847, 51941, 51098, 51095, 50861, 51422, 79673, 51647, 52738, 52777, 54370, 51098, 52218, 51187, 57498, 50848, 51709, 56950, 51111, 53026, 69006, 52981, 52777, 54069, 51389, 52423, 51187, 52905, 68450, 51098, 51110, 79673, 51532, 52844, 50804, 51392, 54002, 57767, 51098, 52218, 51187, 58414, 51007, 77787, 51389, 51095, 53026, 62078, 50935, 51101, 51572, 52878, 62486, 52777, 54255, 50848, 51448, 51389, 52773, 51187, 58501, 50847, 69830, 51098, 51095, 50902, 54441, 51187, 56012, 50935, 51391, 51647, 57297, 50902, 54712, 50804, 51392, 54370, 51098, 61936, 50923, 79673, 53458, 51157, 53026, 55221, 62873, 52093, 50420, 50973, 58063, 51392, 54069, 50885, 51448, 50868, 51397, 50876, 51014, 53026, 59095, 50847, 51448, 50425, 50909, 79642, 51150, 50967, 53026, 54694, 50876, 50930, 52093, 59409, 52997, 50898, 54002, 51150, 52773, 51187, 53219, 51150, 72597, 51033, 79673, 51572, 52878, 50876, 54078, 50898, 54255, 50876, 54020, 51187, 59698, 64851, 50449, 50944, 72269, 51273, 51060, 50876, 54020, 51187, 56012, 50850, 51542, 50453, 50876, 50890, 52093, 75152, 53988, 50898, 54370, 51273, 78954, 51021, 79673, 54079, 51290, 53026, 55221, 50973, 51589, 52981, 50877, 56369, 51392, 54069, 53026, 59824, 51098, 66829, 50935, 51448, 50973, 51535, 53026, 54694, 50848, 51233, 76372, 50847, 54172, 50898, 54002, 50850, 51377, 51098, 52218, 51187, 53219, 50848, 50835, 51389, 51095, 53026, 54735, 50848, 51363, 52093, 50444, 73303, 52777, 54255, 50850, 50857, 51389, 52773, 51187, 53035, 51007, 51291, 51098, 51111, 50902, 55461, 51187, 54363, 50848, 51363, 50902, 51864, 52738, 71766, 50902, 55060, 50898, 54370, 50935, 51391, 51098, 50884, 50902, 50893, 79673, 53458, 50967, 53026, 55221, 50847, 51377, 62873, 52093, 58082, 66228, 54047, 51392, 54069, 51098, 64425, 51030, 53026, 52905, 50909, 51945, 51150, 51095, 53026, 54694, 50885, 51025, 50876, 50930, 76372, 50868, 51233, 50876, 54332, 50898, 54002, 61983, 51150, 63287, 50806, 53026, 53219, 51150, 51013, 53026, 62078, 50973, 51309, 50441, 62783, 52093, 66368, 54806, 50898, 54255, 53026, 53035, 50850, 50892, 51273, 51060, 50876, 55461, 51187, 54363, 73172, 50876, 51864, 52738, 50944, 61902, 54332, 50898, 54370, 51273, 72854, 53558, 51187, 60112, 72681, 54079, 52297, 50315, 53097, 51187, 55221, 59358, 50877, 51582, 52981, 50848, 51212, 61084, 52777, 57466, 50944, 54347, 53026, 52905, 66177, 51098, 51110, 50861, 51417, 53026, 54694, 64851, 76372, 50847, 51907, 51392, 54002, 50850, 50940, 53026, 53219, 51098, 53287, 51187, 54735, 50850, 51559, 52878, 67561, 51705, 52997, 50898, 54255, 53026, 53035, 50935, 60576, 58917, 69149, 69228, 61574, 50828, 51493, 51215, 50968, 52750, 66069, 51647, 57297, 50968, 52163, 50804, 51392, 54370, 71766, 72743, 70987, 51493, 68546, 52590, 66069, 68515, 51095, 53026, 55221, 50868, 51175, 50973, 51864, 52981, 67561, 50847, 50940, 50973, 54332, 51392, 54069, 51705, 77360, 51138, 53026, 52905, 50935, 59495, 68015, 50836, 51668, 51158, 53026, 54694, 50902, 50962, 52093, 63975, 50921, 52777, 56720, 51668, 58970, 50944, 58778, 57172, 50925, 53026, 58414, 51705, 51116, 66836, 51021, 53026, 62078, 73420, 51572, 58829, 50944, 58190, 55322, 50902, 56606, 50898, 54255, 51668, 60762, 55461, 51187, 53035, 50909, 66636, 57932, 50818, 51150, 51100, 50876, 52750, 51187, 54363, 50876, 50962, 52093, 75152, 54332, 50898, 54370, 57835, 50847, 57750, 51351, 51150, 62282, 54452, 66069, 53458, 51346, 50876, 55572, 51187, 65334, 50868, 51178, 50417, 79289, 52093, 50420, 50847, 67048, 58063, 51392, 54069, 53026, 52905, 50944, 58434, 61575, 50867, 51389, 70897, 50983, 79673, 51532, 52844, 52777, 54002, 59081, 74579, 73694, 51389, 54005, 51187, 53219, 51389, 51345, 53026, 54735, 71812, 52093, 50443, 50944, 60492, 71088, 52777, 54255, 50876, 52651, 51187, 53035, 50868, 57932, 64278, 50840, 51150, 51095, 50968, 52750, 51187, 54363, 50968, 50962, 52093, 50456, 50968, 52279, 50898, 54370, 70531, 50909, 56291, 50959, 51150, 70831, 51012, 79673, 53788, 51048, 53026, 55221, 50868, 51121, 50902, 50950, 52093, 50420, 59589, 50909, 64715, 55020, 51392, 54069, 53026, 52905, 50935, 61575, 61574, 50846, 51098, 51111, 50902, 57888, 51187, 54694, 50902, 51010, 52093, 63975, 56106, 50898, 56720, 51098, 53263, 50935, 55257, 50955, 50847, 60358, 51012, 53026, 53219, 51389, 50889, 53026, 62078, 50848, 51177, 50441, 50876, 51594, 52878, 65940, 50935, 68839, 51192, 52777, 54255, 53026, 53035, 50848, 68015, 58434, 50809, 51273, 51116, 50876, 57888, 66069, 51647, 57297, 50876, 57251, 52777, 54370, 50944, 72098, 60303, 54666, 50860, 79673, 54079, 52423, 51187, 55221, 50848, 51101, 51493, 50812, 50973, 51508, 52981, 80247, 65993, 51705, 67048, 50879, 52777, 54069, 53026, 52905, 57137, 50935, 51310, 50848, 50857, 51098, 51124, 50861, 50889, 53026, 54694, 61375, 76372, 50847, 54218, 51392, 54002, 67102, 50850, 50940, 53026, 53219, 51216, 61816, 52590, 51187, 54735, 58126, 50848, 50857, 52093, 50443, 51668, 55700, 59081, 50847, 74134, 51012, 52777, 54255, 53026, 53035, 61311, 50868, 64705, 50862, 51150, 51060, 50968, 54452, 51187, 54363, 50968, 50962, 52093, 50456, 50968, 56106, 51392, 54370, 57835, 50847, 58649, 50849, 51150, 50895, 50968, 52590, 66069, 53788, 51290, 53026, 55221, 72419, 50902, 51739, 52981, 59589, 50909, 65090, 78708, 51392, 54069, 53026, 52905, 50848, 69010, 56705, 50846, 51098, 51111, 50902, 52750, 51187, 54694, 50902, 50930, 52093, 63975, 56606, 50898, 54002, 72863, 50847, 58580, 50955, 51098, 64441, 51012, 53026, 53219, 51389, 51060, 53026, 54735, 50848, 51177, 50876, 51739, 52878, 75329, 50935, 52415, 50315, 52420, 50898, 54255, 51389, 53672, 51187, 53035, 50848, 72801, 56608, 50840, 51273, 51158, 50876, 52750, 51187, 54363, 50876, 50860, 52093, 50456, 52777, 54370, 50944, 57046, 50955, 69861, 51273, 63835, 50860, 79673, 54079, 51048, 53026, 55221, 50848, 51177, 50973, 51508, 52981, 50944, 62033, 66388, 58063, 51392, 54069, 53026, 52905, 50935, 69942, 56705, 50841, 51098, 51215, 50973, 51343, 79673, 51532, 52844, 52777, 54002, 50935, 56238, 56659, 50955, 51098, 54405, 51187, 53219, 51098, 50940, 53026, 54735, 71812, 52093, 50444, 68386, 58966, 51668, 54047, 50898, 54255, 50876, 55461, 51187, 53035, 50847, 62294 ]
[ 0, 250, 251, 6, 2635, 12, 20764, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 10, 5540, 13305, 14, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 1969, 13, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 8, 10, 231, 73, 398, 86, 6543, 6, 5, 15229, 16, 17407, 30, 10, 33215, 16739, 9, 2060, 406, 8, 230, 10431, 6, 2351, 10, 15352, 30054, 8, 8728, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50621, 50997, 54557, 51040, 52407, 51966, 53055, 51360, 53055, 51378, 52147, 50432, 50621, 51086, 55789, 50956, 53726, 50438, 50620, 51966, 58556, 50293, 58556, 50298, 55016, 50302, 55016, 50305, 80189, 50621, 50997, 50984, 51966, 53801, 51360, 53801, 51378, 53055, 50451, 50621, 50453, 51040, 51022, 50454, 50621, 50456, 50989, 51123, 50457, 50621, 50459, 50906, 51022, 50460, 50621, 50462, 51028, 51123, 50463, 50621, 50465, 51114, 51123, 50466, 50621, 50468, 51081, 51123, 50469, 50621, 50470, 50621, 50471, 50621, 51399, 50984, 50472, 50621, 50473, 50621, 50474, 50620, 51040, 55765, 50989, 55574, 50906, 55574, 51787, 52056, 51540, 50621, 50906, 54557, 51028, 54557, 51378, 53801, 51040, 53801, 50989, 53055, 50432, 50973, 54848, 51001, 54848, 50438, 50620, 51378, 58556, 50305, 58556, 50310, 55016, 50314, 55036, 50317, 52397, 50450, 50621, 50906, 51022, 51378, 53801, 51040, 53801, 50989, 53055, 50451, 50621, 50453, 51028, 51252, 50454, 50621, 50456, 51114, 51269, 50457, 50621, 50459, 51081, 51269, 50460, 50621, 50462, 51399, 51269, 50463, 50621, 50465, 51787, 51269, 50466, 50621, 50468, 52052, 51022, 50469, 50621, 50470, 50621, 50471, 50621, 53684, 51022, 50472, 50621, 50473, 50621, 50474, 50620, 51028, 60667, 50322, 60667, 50326, 58556, 50346, 52011, 51540, 50621, 51360, 52440, 51050, 52147, 51086, 52147, 50965, 51703, 50438, 50620, 51050, 53892, 50965, 52460, 51360, 54590, 50303, 52025, 50447, 50620, 51176, 51269, 50871, 59038, 51086, 51269, 70795, 51360, 52440, 51176, 52212, 50453, 50621, 51399, 56838, 51220, 72037, 51147, 51123, 50462, 50931, 50907, 50465, 51028, 50984, 50468, 50973, 51123, 50471, 50965, 51123, 50474, 50621, 63227, 51360, 55016, 50297, 52397, 50476, 50621, 50477, 50621, 51040, 51123, 50478, 50621, 50479, 50621, 50480, 50621, 75475, 50483, 50620, 51086, 51123, 51540, 50621, 51966, 52440, 51360, 52440, 51378, 52147, 50997, 52147, 50989, 51703, 50438, 50620, 51966, 55016, 50293, 55016, 50298, 54590, 50302, 54590, 50310, 52011, 50450, 50620, 50997, 51269, 51040, 51123, 51966, 53055, 51360, 53055, 51378, 52440, 50453, 50621, 51081, 55346, 51114, 62065, 51028, 50984, 50462, 69195, 50465, 50989, 51123, 50468, 75039, 50471, 50997, 51123, 50474, 50621, 51378, 51123, 50475, 50621, 50476, 50621, 50477, 50621, 51360, 51022, 50478, 50621, 50479, 50621, 50480, 50620, 51234, 51022, 50481, 50620, 50482, 50620, 50483, 50619, 51966, 51022, 51540, 50621, 50956, 53280, 52046, 52440, 51234, 52440, 51197, 52147, 51026, 52440, 51040, 52440, 64185, 67458, 50621, 52046, 55016, 50290, 55016, 50295, 54590, 50299, 55036, 50305, 55036, 50307, 80189, 50621, 51176, 51269, 51086, 51022, 51503, 53055, 51197, 52440, 50453, 51176, 56773, 51086, 72037, 50956, 51123, 50462, 79944, 50465, 50973, 51123, 50468, 51001, 50907, 50471, 50973, 50907, 50474, 50620, 51086, 58556, 50307, 58556, 50312, 55016, 50324, 50932, 51540, 50621, 51001, 51965, 51197, 52440, 50997, 52440, 50956, 52147, 50861, 51703, 51028, 51703, 50432, 50622, 50968, 55659, 50621, 51197, 55016, 50302, 55016, 50307, 54590, 50311, 53126, 50317, 53126, 50319, 60779, 50621, 67364, 64542, 51176, 52212, 50956, 51490, 50453, 50965, 55346, 50973, 56573, 51001, 50907, 50462, 51147, 50912, 50465, 51220, 50851, 50468, 51405, 50827, 50471, 51220, 50822, 50474, 50621, 52128, 51363, 51086, 53164, 50307, 53164, 50312, 51330, 50483, 50620, 51787, 50874, 51540, 50621, 51339, 50822, 52759, 51447, 51360, 74317, 53684, 79604, 50622, 50420, 53117, 54252, 52128, 52921, 51339, 55730, 51399, 53193, 51220, 54378, 51147, 52691, 58398, 51040, 70240, 52845, 50315, 51108, 50441, 51028, 53743, 50973, 55118, 50965, 53140, 50621, 74166, 52759, 51447, 51360, 51244, 50453, 51040, 54900, 50900, 54846, 51040, 50874, 50462, 76599, 50465, 68793, 50468, 50621, 74575, 50471, 51040, 51108, 50474, 50621, 50906, 51534, 51360, 52845, 50297, 51108, 50483, 51086, 50907, 62094, 51540, 50621, 50997, 50912, 74312, 51966, 51490, 51360, 51490, 51378, 51314, 50417, 68070, 50418, 50621, 61683, 53591, 50989, 52580, 50621, 50906, 54889, 59950, 50430, 50621, 50432, 51114, 63221, 50621, 50435, 51081, 52788, 50621, 51399, 50827, 51040, 55036, 50310, 55036, 50314, 52011, 50439, 50621, 50440, 50621, 50441, 50621, 51787, 67552, 50621, 50443, 50621, 50444, 50621, 52052, 63107, 50621, 50446, 50621, 50447, 50620, 53684, 54385, 51040, 55036, 50310, 55036, 50314, 53126, 50346, 50915, 50462, 50620, 50474, 50989, 51172, 50483, 70181, 51540, 50621, 51503, 52511, 50300, 72397, 51283, 66650, 51074, 50425, 50621, 53523, 52858, 50310, 51074, 50430, 50621, 50432, 67364, 51176, 51074, 50434, 50621, 50435, 50906, 53269, 50621, 60714, 50900, 52858, 50310, 51074, 50441, 59950, 50442, 50621, 50444, 67108, 51176, 51074, 50446, 50621, 50447, 50931, 52989, 50621, 51503, 52511, 50300, 52104, 50322, 51542, 50456, 51176, 51166, 50462, 50900, 53186, 50310, 51166, 50464, 50621, 50465, 51147, 50825, 50466, 51081, 50825, 50467, 50621, 51147, 50825, 50468, 60299, 51176, 51166, 50469, 50621, 50471, 50621, 51147, 50874, 50473, 50621, 50474, 51081, 72679, 53186, 50310, 51166, 50475, 50621, 50477, 75111, 50478, 50621, 50480, 50620, 51399, 50844, 51176, 51166, 50482, 50620, 50483, 50620, 51405, 50810, 51540, 52759, 52511, 50293, 52104, 50333, 51295, 50418, 50621, 66650, 58309, 51040, 78068, 57123, 51405, 50827, 51176, 51432, 50435, 51399, 52788, 50620, 51062, 76225, 54126, 50309, 51432, 50441, 51405, 53086, 50621, 51399, 50874, 51176, 51432, 50447, 51081, 53567, 52759, 52511, 50293, 52104, 50324, 51314, 50456, 50621, 51176, 51387, 50462, 51040, 53693, 50309, 51387, 50468, 51176, 51387, 50474, 50621, 51040, 53693, 50309, 53186, 50321, 52034, 51147, 51645, 50480, 51176, 51387, 50483, 50620, 51114, 50984, 51081, 50851, 51540, 50621, 51503, 52511, 50300, 52104, 50322, 52216, 50326, 59288, 50621, 51176, 76830, 50972, 53523, 53693, 50310, 60484, 50621, 51176, 53186, 50322, 52216, 50326, 54938, 50900, 53693, 50310, 76830, 59388, 50620, 51176, 53186, 50322, 52216, 50326, 55437, 50621, 51503, 52511, 50300, 52104, 50322, 52216, 50326, 57092, 50621, 51176, 76830, 50972, 50462, 50900, 53693, 50310, 51387, 50468, 51176, 78290, 52216, 50322, 50972, 50474, 50900, 53186, 50312, 74056, 50972, 50480, 50620, 51176, 53186, 50310, 52511, 50319, 50972, 51540, 66398, 52759, 52511, 50293, 51079, 50417, 50621, 50931, 51679, 66650, 51387, 61104, 53693, 50309, 60484, 50621, 51001, 50851, 51176, 51387, 50435, 51028, 64704, 50621, 50438, 60714, 51040, 53693, 50309, 51387, 50441, 50621, 51001, 54478, 50621, 64920, 51176, 51387, 50447, 50621, 50906, 54823, 50621, 52759, 52511, 50293, 78502, 51447, 50456, 51176, 51387, 50462, 51040, 53693, 50309, 51387, 50468, 51176, 51387, 50474, 50620, 51040, 53693, 50309, 53186, 50312, 51172, 50480, 51176, 51387, 50483, 50620, 63613, 51540, 50621, 51503, 52511, 50300, 72397, 51283, 66650, 51074, 50425, 50621, 53523, 52858, 50310, 51074, 50430, 50621, 50432, 67364, 51176, 51074, 50434, 50621, 50435, 50906, 53269, 50621, 60714, 50900, 52858, 50310, 51074, 50441, 59950, 50442, 50621, 50444, 67108, 51176, 51074, 50446, 50621, 50447, 50931, 52989, 50621, 51503, 52511, 50300, 52104, 50322, 51542, 50456, 51176, 51166, 50462, 50900, 53186, 50310, 51166, 50464, 50621, 50465, 51147 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 3366, 219, 8, 19448, 5466, 6, 4246, 10, 25044, 139, 10170, 1499, 981, 5, 33301, 6, 7513, 30, 41, 21979, 8669, 6, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 20, 2125, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 230, 6, 230, 401, 6, 230, 10431, 37152, 6, 211, 119, 6, 8, 272, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 53075, 50933, 51825, 50825, 52287, 54202, 51825, 50864, 52287, 53272, 51303, 50933, 51825, 50933, 52287, 56180, 53075, 50933, 51818, 50864, 52287, 54394, 51818, 50864, 52287, 53996, 51303, 50933, 51818, 50933, 52287, 50933, 50799, 53075, 50933, 51457, 51309, 52287, 61378, 53171, 55656, 51303, 50933, 52109, 51309, 51825, 56626, 51981, 56180, 53075, 50933, 51327, 51309, 52287, 57940, 51981, 55514, 51303, 50933, 51414, 51309, 51825, 57131, 51457, 50933, 67718, 50933, 51327, 55656, 53927, 51309, 53171, 56180, 51410, 50933, 51327, 55514, 53927, 51309, 53171, 50933, 77034, 70152, 51476, 50910, 53248, 56382, 52303, 51095, 55285, 70149, 52326, 51095, 55390, 64949, 52690, 51095, 55383, 51095, 50799, 53792, 50878, 53075, 51043, 51303, 50878, 51249, 50878, 51825, 50878, 53845, 53530, 51420, 55456, 54772, 52542, 50812, 53691, 55116, 56510, 52826, 57141, 55116, 50417, 51236, 53364, 57711, 53792, 50878, 51303, 50878, 51249, 50878, 51825, 50878, 53845, 53095, 50822, 66151, 50360, 51035, 54080, 51236, 67962, 55124, 53792, 51043, 51476, 51043, 51303, 51043, 51249, 51043, 51825, 51043, 51688, 54806, 51420, 54772, 52542, 55658, 51236, 53364, 55011, 67813, 50360, 51035, 54125, 68846, 54553, 57402, 67962, 55707, 55015, 50878, 53248, 51043, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 53330, 54772, 52542, 50812, 53012, 55713, 53364, 54682, 55015, 50878, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 54436, 50812, 66151, 50360, 51035, 54672, 51688, 64136, 67962, 55814, 55015, 51043, 51476, 51043, 51303, 51043, 51249, 51043, 51818, 56959, 51420, 54772, 52542, 55874, 68846, 64792, 53364, 56773, 53845, 50851, 61620, 52542, 54421, 68846, 55875, 55073, 53821, 51022, 50799, 54283, 50878, 53075, 51043, 51303, 50878, 51249, 50878, 51457, 50878, 53845, 54312, 51420, 54772, 52542, 57368, 51236, 53364, 57711, 55015, 50878, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 54436, 50822, 61620, 52542, 54080, 51170, 50360, 51035, 55124, 54283, 50878, 51476, 50878, 51303, 50878, 51249, 50878, 51457, 50878, 51688, 54172, 51420, 54772, 55141, 55658, 51236, 53229, 55011, 55242, 51397, 53248, 51025, 51303, 51397, 51249, 51397, 67813, 56205, 54125, 68846, 59606, 57529, 52542, 55707, 53845, 53330, 54772, 52542, 50812, 53012, 55713, 60399, 56510, 51749, 50444, 53248, 50878, 53845, 53877, 50812, 61620, 52542, 54672, 51688, 56854, 67962, 55814, 53655, 54566, 51420, 54772, 52542, 55874, 68846, 64992, 53364, 51022, 57141, 60326, 50456, 54369, 50878, 53845, 50827, 61620, 52542, 50812, 59877, 66376, 68846, 54806, 55073, 53821, 51022, 50799, 54283, 50878, 53075, 51134, 51303, 50878, 51249, 50878, 51457, 50878, 53845, 51008, 52506, 54772, 52542, 57368, 51236, 53364, 57711, 55015, 50878, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 53877, 50822, 61620, 52542, 54080, 51170, 53364, 51022, 53691, 52670, 54283, 51043, 51303, 51043, 51249, 51043, 51457, 56959, 51420, 54582, 56205, 50812, 56510, 52056, 50429, 51170, 53821, 51022, 57141, 51423, 50432, 67813, 52542, 50812, 59877, 78262, 53845, 54345, 57402, 53821, 55707, 55242, 51043, 55349, 51134, 51687, 51134, 51249, 50820, 61079, 61509, 54582, 52542, 50812, 56864, 51679, 69765, 51679, 57141, 51679, 59877, 51679, 53012, 55073, 53364, 54682, 61079, 53877, 50812, 66151, 55141, 54672, 51236, 67962, 55814, 54062, 51043, 51327, 56959, 51420, 54772, 52542, 55874, 51236, 53364, 51022, 56672, 55300, 52542, 54421, 61079, 54345, 55073, 53821, 51022, 50799, 54283, 50878, 52690, 51134, 51303, 51134, 51414, 51134, 51457, 50878, 53160, 54312, 51420, 54772, 52542, 57368, 51236, 53364, 57711, 55015, 50878, 51818, 50878, 53160, 56029, 50822, 66151, 50360, 51035, 54080, 51236, 67962, 51022, 55616, 52670, 54283, 51043, 51457, 51043, 53160, 54420, 51420, 54772, 52542, 50812, 56510, 52056, 50429, 51236, 53364, 51022, 57034, 51423, 50432, 67813, 50360, 51035, 50812, 58349, 78262, 53160, 53352, 57402, 67962, 51022, 67749, 53614, 55928, 51134, 53248, 51043, 51465, 51134, 51414, 51134, 51332, 56879, 54772, 52542, 50812, 59710, 51679, 57034, 51679, 58349, 51679, 59877, 51679, 53012, 55713, 53364, 54682, 51332, 50878, 54524, 66151, 50360, 51035, 54672, 51236, 67962, 55814, 51476, 56959, 51420, 54772, 52542, 55874, 53160, 64792, 53364, 56773, 52021, 50904, 61620, 52542, 54421, 51332, 52467, 55073, 53821, 51022, 50799, 55187, 50878, 52303, 51043, 51410, 50878, 51303, 50878, 51231, 50878, 53160, 54312, 51420, 54772, 52542, 50812, 56510, 51679, 57034, 51679, 58349, 51679, 67749, 51679, 50417, 51236, 53364, 57711, 55242, 51043, 51410, 51043, 51303, 51043, 51249, 51151, 53160, 56029, 50822, 61620, 52542, 54080, 51170, 50360, 51035, 55124, 52326, 51043, 53160, 54420, 51420, 54772, 55141, 55658, 51236, 53229, 55011, 55928, 50878, 51410, 50878, 51303, 50878, 51414, 50878, 67813, 56205, 54125, 53160, 53352, 57529, 52542, 55707, 54062, 50878, 52690, 51043, 51465, 50878, 51414, 50878, 51327, 50878, 51332, 61509, 54772, 52542, 50812, 53012, 55713, 53364, 54682, 54283, 51043, 51465, 51043, 51414, 51043, 51457, 51043, 51332, 53877, 50812, 61620, 52542, 54672, 51236, 67962, 51022, 53691, 52763, 53248, 56959, 51420, 54772, 52542, 50812, 59710, 52056, 50453, 51236, 53364, 51022, 57034, 51423, 50456, 54062, 50878, 51465, 50878, 51414, 50878, 51327, 50878, 61620, 52542, 50812, 58349, 51210, 50459, 51332, 54345, 55073, 53821, 51022, 59877, 50844, 50799, 55187, 50878, 52303, 51043, 51410, 50878, 51303, 50878, 51231, 50878, 53160, 51008, 52506, 54772, 52542, 57368, 51236, 53364, 57711, 55242, 50878, 51410, 50878, 51303, 50878, 51249, 51717, 53160, 53877, 50822, 66151, 50360, 51035, 54080, 51236, 67962, 51022, 55616, 52670, 55928, 51043, 52326, 51043, 51410, 51043, 51303, 51043, 51414, 56959, 51420, 54772, 52542, 50812, 56510, 52056, 50429, 51236, 53364, 51022, 57034, 51423, 50432, 67813, 50360, 51035, 50812, 58349, 78262, 53160, 54345, 57402, 67962, 51022, 67749, 53614, 54062, 51134, 52690, 51043, 51465, 51134, 51414, 51134, 51327, 51134, 51332, 51373, 54772, 52542, 50812, 59710, 51679, 57034, 51679, 58349, 51679, 59877, 51679, 53012, 55713, 53364, 54682, 51332, 55503, 50812, 66151, 50360, 51035, 54672, 51332, 61150, 67962, 55814, 53248, 56959, 51420, 54772, 52542, 55874, 51236, 53364, 56773, 61620, 52542, 54421, 51332, 55106, 55073, 53821, 51022, 72412, 51134, 53160, 54312, 51420, 54772, 52542, 57368, 51236, 53364, 57711, 53160, 56029, 50822, 61620, 52542, 54080, 51170, 50360, 51035, 51022, 52078, 54654, 54283, 50878, 51303, 50878, 51414, 50878, 51457, 50878, 53160, 54420, 51420, 54772, 55141, 50812, 56510, 51254, 57034, 50987, 58349, 50838, 67749, 51174, 50429, 51236, 53229, 55011, 57042, 50878, 51303, 50878, 51414, 50878, 52109, 50878, 67813, 56205, 54125, 53160, 53352, 57529, 52542, 55707, 54283, 50878, 53248, 51134, 51465, 51134, 51414, 51134, 51457, 50878, 51332, 61509, 54772, 52542, 50812, 53012, 55713, 53364, 54682, 57042, 50878, 52109, 50878, 51332, 53877, 50812, 61620, 52542, 54672, 51236, 67962, 51022, 53691, 52763, 54283, 51043, 51457, 56959, 51420, 54772, 52542, 50812, 59710, 52056, 50453, 51236, 53364, 51022, 57034, 51423, 50456, 61620, 52542, 50812, 58349, 51210, 50459, 51332, 54345, 55073, 53821, 51022, 59877, 50844, 50799, 54283, 51043, 52303, 51452, 51465 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 45080, 1349, 6, 42, 765, 2214, 36193, 18151, 7, 10, 3366, 219, 6, 11299, 12, 506, 1182, 46177, 980, 4, 16241, 212, 3315, 6, 22052, 6, 8, 3038, 45552, 833, 19, 8016, 6496, 8, 1428, 21072, 6, 1759, 25688, 5, 2125, 556, 23, 10, 1769, 20889, 9, 23703, 163, 5683, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 8, 2329, 1843, 154, 7, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 2060, 119, 406, 428, 245, 73, 43608, 6, 211, 6, 8, 274, 10431, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50438, 53134, 50818, 52452, 50818, 54133, 50818, 54862, 50918, 52252, 51492, 52009, 51492, 53608, 73086, 54023, 50588, 55608, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 79519, 53134, 50818, 52452, 50818, 54133, 52349, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 79431, 54023, 50588, 51252, 50417, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 52794, 50429, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52788, 53134, 50818, 52452, 50818, 54133, 54005, 58709, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 55371, 53134, 50818, 52452, 50818, 54133, 52349, 54862, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 60314, 59991, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 54889, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52788, 52408, 50818, 53190, 50818, 54133, 50818, 52408, 50918, 51701, 51492, 52736, 51492, 53608, 73086, 58709, 52408, 50818, 53190, 50818, 54133, 52210, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52989, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 55371, 52408, 50818, 53190, 50818, 54133, 52349, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 50827, 50799, 52408, 50818, 53190, 50818, 54133, 50818, 53638, 79431, 59991, 52408, 50818, 53190, 50818, 54133, 52432, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52580, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 54889, 52408, 50818, 53190, 50818, 54133, 52209, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52788, 52408, 50818, 53190, 50818, 54133, 54005, 58709, 52408, 50818, 53190, 50818, 54133, 52210, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52989, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 55371, 52408, 50818, 53190, 50818, 54133, 52349, 54862, 50795, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 50827, 50799, 52408, 50818, 53190, 50818, 54133, 50818, 53714, 60314, 59991, 52408, 50818, 53190, 50818, 54133, 52432, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52580, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 54889, 52408, 50818, 53190, 50818, 54133, 52209, 52412, 50795, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52788, 53638, 50818, 52412, 50818, 53134, 50818, 53714, 50918, 52091, 51492, 51678, 51492, 52252, 73086, 58709, 53638, 50818, 52412, 50818, 53134, 52210, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52989, 53638, 50818, 52412, 50818, 53134, 54005, 53887, 65232, 55371, 53638, 50818, 52412, 50818, 53134, 52349, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 50827, 50799, 53638, 50818, 52412, 50818, 53134, 50818, 52987, 52382, 50801, 59991, 53638, 50818, 52412, 50818, 53134, 52432, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52580, 53638, 50818, 52412, 50818, 53134, 54005, 53887, 65232, 54889, 53638, 50818, 52412, 50818, 53134, 52209, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52788, 53638, 50818, 52412, 50818, 53134, 54005, 58709, 53638, 50818, 52412, 50818, 53134, 52210, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52989, 53638, 50818, 52412, 50818, 53134, 54005, 53887, 65232, 55371, 53638, 50818, 52412, 50818, 53134, 52349, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 50827, 50799, 53638, 50818, 52412, 50818, 53134, 54005, 59991, 53638, 50818, 52412, 50818, 53134, 52432, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52580, 53638, 50818, 52412, 50818, 53134, 50818, 54862, 51650, 53887, 65232, 54889, 53638, 50818, 52412, 50818, 53134, 52209, 54427, 50795, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52788, 52412, 50818, 53134, 50818, 52452, 50818, 52987, 51161, 72890, 52252, 51036, 52009, 59578, 58709, 52412, 50818, 53134, 50818, 52452, 52210, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 52989, 52412, 50818, 53134, 50818, 52452, 54005, 53887, 65232, 55371, 52412, 50818, 53134, 50818, 52452, 52349, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 50827, 50799, 52412, 50818, 53134, 50818, 52452, 54005, 59991, 52412, 50818, 53134, 50818, 52452, 52432, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 52580, 52412, 50818, 53134, 50818, 52452, 50818, 53638, 51650, 53887, 65232, 54889, 52412, 50818, 53134, 50818, 52452, 52209, 52987, 50795, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 52788, 52408, 50818, 53190, 50818, 52751, 50818, 54427, 51161, 68662, 52736, 51036, 52295, 59578, 58709, 52408, 50818, 53190, 50818, 52751, 52210, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 52989, 52408, 50818, 53190, 50818, 52751, 54005, 53887, 65232, 55371, 52408, 50818, 53190, 50818, 52751, 52349, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 50827, 50799, 52408, 50818, 53190, 50818, 52751, 54005, 59991, 52408, 50818, 53190, 50818, 52751, 52432, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 52580, 52408, 50818, 53190, 50818, 52751, 50818, 52987, 51650, 53887, 65232, 54889, 52408, 50818, 53190, 50818, 52751, 52209, 54427, 50795, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 52788, 53134, 50818, 52452, 50818, 54133, 50818, 54862, 50918, 52252, 51492, 52009, 51492, 53608, 73086, 54023, 50588, 55608, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 79519, 53134, 50818, 52452, 50818, 54133, 52349, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 79431, 54023, 50588, 51252, 50417, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 52794, 50429, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52788, 53134, 50818, 52452, 50818, 54133, 54005, 58709, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 55371, 53134, 50818, 52452, 50818, 54133, 52349, 54862, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 60314, 59991, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 54889, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152 ]
[ 0, 250, 765, 53, 20425, 5175, 37903, 11, 211, 538, 6, 4246, 10, 15352, 30054, 8, 2933, 5466, 19, 10, 11602, 9, 11299, 27456, 6, 3185, 30, 10, 1769, 20889, 11, 204, 73, 306, 86, 8, 10, 881, 274, 10431, 37152, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50973, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50931, 51820, 51324, 53658, 50968, 51754, 51324, 55673, 50800, 57844, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50931, 51820, 51324, 53658, 50968, 51754, 51324, 55673, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 8787, 3152, 15229, 5378, 16364, 19, 1007, 6, 42, 2125, 16, 17407, 30, 63, 748, 1879, 15525, 20889, 6, 3694, 762, 6, 8, 5, 2247, 4069, 9, 81, 9756, 8, 30587, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 2352, 6757, 6, 70, 447, 561, 7, 1045, 41, 9066, 8, 15352, 30054, 2369, 18795, 14, 10930, 16186, 88, 20292, 13560, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 60865, 51843, 52728, 52294, 51923, 51219, 50918, 52591, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 60865, 51843, 52728, 79228, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 60865, 51843, 52728, 52294, 51923, 51219, 50918, 52591, 51288, 52910, 53289, 51736, 56938, 63967, 51507, 51428, 53837, 52600, 62460, 61900, 51263, 74493, 50807, 51632, 51428, 56874, 52616, 52426, 51428, 53837, 52725, 61016, 72347, 51598, 51428, 56874, 50820, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 50983, 52106, 53969, 51843, 50807, 53468, 53794, 79228, 51770, 53702, 51219, 50918, 52591, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 50983, 52106, 53969, 51843, 50807, 53468, 53794, 79228, 51770, 50849, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 50983, 52106, 53969, 51843, 50807, 53468, 53794, 79228, 51770, 53702, 51219, 50918, 79395, 51288, 52910, 53289, 51736, 56938, 63967, 51507, 51428, 53837, 52600, 62460, 61900, 51263, 74493, 50807, 51632, 51428, 56874, 52616, 52426, 51428, 53837, 50820, 50799, 61016, 72347, 51598, 51428, 56874, 52761, 54266, 63639, 57219, 76709, 51598, 51631, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 53035, 54266, 63639, 57219, 76709, 51598, 52152, 52738, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 72347, 51598, 51428, 52493, 52981, 54266, 63639, 57219, 76709, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 53923, 77143, 51507, 52732, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 58436, 51344, 50849, 51843, 50845, 67277, 51497, 50849, 51839, 50845, 52576, 51428, 52493, 52981, 60755, 51569, 50849, 51849, 50845, 62492, 51856, 50849, 52074, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 53035, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52738, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 50828, 50799, 60755, 60335, 62492, 63084, 52426, 51428, 52493, 52981, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 53923, 77143, 51507, 51428, 54119, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 60755, 60335, 62492, 63084, 52426, 51428, 52493, 52981, 61016, 72347, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 53035, 54266, 63639, 57219, 76709, 51598, 52152, 52738, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 72347, 51598, 51428, 52493, 52981, 54266, 63639, 57219, 76709, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 53923, 77143, 51507, 52732, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 58436, 51344, 50849, 51843, 50845, 67277, 51497, 50849, 51839, 50845, 52576, 51428, 52493, 52981, 60755, 51569, 50849, 51849, 50845, 62492, 51856, 50849, 52074, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 53035, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52738, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 50828, 50799, 60755, 51569, 50849, 51849, 50849, 62492, 51856, 50849, 52074, 50849, 52426, 51428, 52572, 52493, 50828, 50799, 61016, 52341, 50967, 57714, 50967, 72347, 51598, 51428, 56874, 52761, 54266, 63639, 57219, 76709, 51598, 60010, 51854, 50967, 54338, 59204, 54266, 63639, 57219, 76709, 51598, 52152, 57881, 51622, 50967, 53549, 58443, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 51849, 50967, 54111, 50967, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 58275, 51622, 50967, 53549, 58647, 54266, 63639, 57219, 76709, 51598, 52152, 57297, 51854, 50967, 54338, 58760, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 51344, 51036, 52341, 51036, 72347, 51598, 51428, 52493, 52981, 54266, 63639, 57219, 76709, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 53923, 77143, 51507, 52732, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 58436, 51344, 50849, 51843, 50845, 52341, 50967, 57714, 50967, 67277, 51497, 50849, 51839, 50845, 52576, 51428, 52493, 52981, 60755, 51569, 50849, 51849, 50845, 62492, 51856, 50849, 52074, 50845, 52426, 52732, 57466, 51854, 50967, 54338, 59204, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 57881, 51622, 50967, 53549, 58443, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 51849, 50967, 54111, 50967, 62492, 63084, 52426, 51626, 52493, 52878, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 58275, 51854, 50967, 54338, 58647, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 57297, 51849, 50967, 54111, 58760, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 50828, 50799, 60755, 60335, 51548, 51036, 52529, 51036, 62492, 63084, 52426, 51428, 52493, 52981, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 53923, 77143, 51507, 51428, 54119, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51626, 54119, 50828, 52198, 50828, 50799, 60755, 60335, 52341, 50967, 57714, 50967, 62492, 63084, 52426, 51428, 52493, 52981, 61016, 72347, 51598, 52732, 57466, 51854, 50967, 54338, 59204, 54266, 63639, 57219, 76709, 51598, 52152, 57881, 51622, 50967, 53549, 58443, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 51849, 50967, 54111, 50967, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 58275, 51622, 50967, 53549, 58647, 54266, 63639, 57219, 76709, 51598, 52152, 57297, 51854, 50967, 54338, 58760, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 51344, 51036, 52341, 51036, 72347, 51598, 51428, 52493, 52981 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 20535, 2810, 6, 3459, 13305, 6, 13305, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 274, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 6, 2351, 10, 19448, 8, 1372, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 80054, 51018, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52902, 58842, 55285, 50983, 50422, 52008, 51544, 59311, 53655, 50897, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 58413, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 55894, 51129, 51034, 55285, 51364, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 74909, 53655, 50897, 51414, 52972, 51239, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 50446, 51960, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51189, 52902, 57056, 55285, 50983, 50422, 60656, 74909, 53655, 50897, 51273, 50942, 52358, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51177, 55901, 56866, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50854, 51970, 51034, 55285, 51364, 52157, 51351, 52902, 55614, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 51471, 50430, 51261, 57181, 53655, 50897, 51414, 50812, 51273, 53197, 51044, 54034, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 54792, 51179, 56866, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 54006, 76887, 51140, 50833, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51191, 52194, 50917, 52902, 58842, 55285, 60055, 52178, 51121, 50422, 52008, 51544, 59971, 51261, 66855, 53655, 50897, 51273, 50878, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51121, 58413, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60672, 52178, 50917, 50443, 51414, 51111, 50446, 51140, 55966, 51129, 51034, 55285, 51364, 52157, 51562, 52178, 50937, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50420, 52377, 51101, 50422, 60656, 74909, 53655, 50897, 51414, 50812, 51261, 50942, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 50878, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51493, 58638, 51140, 50942, 51960, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51417, 52902, 57056, 55285, 50983, 50418, 54006, 65944, 53397, 51559, 52872, 53192, 51060, 74909, 53655, 50897, 53192, 51121, 52358, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51121, 55901, 56866, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50854, 52377, 51373, 50863, 51034, 55285, 51364, 52157, 51351, 52178, 50942, 52902, 55614, 51410, 51310, 51303, 51310, 51414, 51295, 50418, 52178, 65944, 52377, 51121, 60656, 51471, 50430, 51261, 61172, 53655, 50897, 51414, 50812, 51273, 50955, 52358, 54034, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 51121, 56239, 56866, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 50446, 51140, 50925, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51115, 52902, 58842, 55285, 50983, 50422, 52178, 50855, 57878, 53397, 51095, 52112, 50434, 53655, 50897, 51261, 50942, 54006, 53630, 51179, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51121, 53397, 51111, 58413, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50942, 53572, 52938, 51129, 51034, 55285, 51364, 52157, 51218, 53397, 51095, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 52178, 51267, 60656, 74909, 53655, 50897, 51414, 50812, 51261, 50878, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51273, 50955, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51560, 69775, 51493, 50822, 51968, 50830, 51960, 51034, 53075, 51103, 52326, 51127, 51476, 51077, 51303, 51183, 51140, 51295, 51702, 53590, 51179, 63672, 51702, 60171, 51702, 50942, 60656, 52377, 50937, 74909, 53248, 50987, 51687, 50865, 51793, 50854, 52377, 51056, 52358, 52896, 53655, 50812, 51410, 50955, 51930, 51177, 55901, 60604, 53075, 50897, 52303, 50812, 51303, 62604, 51150, 50878, 51968, 50878, 51970, 51034, 53075, 51127, 52326, 51183, 51476, 51077, 51303, 51413, 51140, 51351, 51702, 50878, 52902, 59740, 52377, 51056, 50422, 60656, 51471, 50430, 51140, 65053, 53248, 50987, 51687, 50910, 51303, 50874, 51493, 53197, 51044, 52896, 53655, 50897, 51410, 51110, 51560, 53825, 51179, 60604, 53075, 50977, 52303, 50912, 51303, 50897, 51461, 69775, 52659, 50925, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51397, 52451, 66898, 52592, 53201, 53125, 62321, 52902, 58842, 55285, 50983, 50422, 51702, 50855, 57878, 54006, 51100, 52112, 50434, 53655, 50897, 51261, 50810, 52377, 50925, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51194, 52178, 54690, 51239, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60672, 52178, 70981, 51414, 51111, 50446, 51140, 50854, 52377, 51221, 58539, 51034, 55285, 51364, 52157, 51241, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 51471, 50430, 51261, 61172, 53655, 50897, 51414, 50812, 51140, 50942, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 50854, 54575, 51862, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51461, 50878, 53125, 54071, 50446, 52659, 50833, 51960, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51562, 53125, 56515, 52902, 57056, 55285, 50983, 50422, 54006, 50910, 60656, 53397, 50862, 51471, 50430, 53397, 64160, 53655, 50897, 51261, 50878, 54006, 52784, 51044, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51177, 53572, 50917, 55901, 56866, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50942, 53397, 50897, 51970, 51034, 55285, 51364, 52157, 51191, 54006, 53632, 51179, 55614, 51410, 51310, 51303, 51310, 51414, 51295, 50417, 52178, 51221, 50422, 60656, 51471, 50430, 51261, 68163, 53655, 50897, 51414, 50812, 51140, 50878, 52358, 54034, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 50833, 52796, 76396, 51179, 56866, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51461, 50878, 53125, 51697, 50446, 52659, 50812, 54006, 50910, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51562, 53397, 50854, 53125, 53866, 52902, 58842, 55285, 50983, 50418, 54006, 58745, 56476, 50889, 52008, 51544, 59311, 53655, 50897, 51261, 50955, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 66144, 54006, 52781, 51560, 51121, 53397, 54690, 51239, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60672, 53397, 67157, 51414, 51111, 50446, 51140, 50942, 54006, 51003, 58539, 51034, 55285, 51364, 52157, 51413, 53125, 53866, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 74909, 53655, 50897, 51414, 50812, 51261, 50955, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51273, 50955, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51560, 62604, 51493, 50854, 51702, 51582, 50870, 51034, 53075, 51446, 52326, 51189, 51476, 50983, 51303, 51189, 51140, 51417, 51702, 50917, 52892, 54373, 52592, 66898, 52898, 52829, 52620, 52432, 51702, 60010, 57451, 51702, 50849, 51931, 50434, 53248, 50878, 51687, 50940, 51793, 50942, 52377, 50849, 52902, 52621, 53655, 50800, 51410, 50942, 51930, 51121, 56239, 55201, 51968, 63773, 53075, 50910, 52303, 50808, 51303, 62150, 51150, 50810, 51702, 50873, 51842, 51034, 53075, 51413, 52326, 51189, 51476 ]
[ 0, 250, 33928, 8, 20425, 5175, 3495, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 10, 13305, 816, 34879, 11, 10, 7212, 20889, 4, 8504, 11, 5, 762, 9, 211, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 5, 33215, 16739, 9, 83, 406, 6, 274, 73, 250, 6, 1918, 406, 6, 83, 406, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 56387, 50879, 52176, 50923, 51144, 50893, 51119, 50893, 51275, 60247, 56387, 50800, 52176, 52935, 56387, 50800, 52176, 50821, 66243, 56387, 50833, 52176, 51820, 56387, 50833, 52176, 51757, 56387, 50810, 52176, 53987, 57279, 50991, 52746, 51427, 54458, 56387, 50879, 52176, 60247, 56387, 50800, 52176, 52935, 56387, 50800, 52176, 50821, 66243, 56387, 50833, 52176, 51820, 56387, 50833, 52176, 51757, 56387, 50810, 52176, 53987, 57279, 50991, 52746, 51427, 50799, 56387, 50879, 52176, 51012, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51198, 52734, 51198, 54156, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 55441, 51280, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51198, 52734, 51198, 54156, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51144, 55441, 78366, 50799, 56387, 50879, 52176, 50923, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51198, 52734, 51198, 54156, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 55441, 51280, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51706, 50943, 51198, 50943, 51144, 52910, 51706, 51003, 51198, 51003, 51099, 55112, 56387, 50800, 52176, 52877, 51708, 51003, 51280, 51003, 51232, 52728, 51708, 51003, 51280, 51003, 75118, 50799, 56387, 50879, 52176, 50923, 51275, 54611, 51275, 53383, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 54465, 51153, 54208, 51119, 53875, 59632, 50799, 56387, 50879, 52176, 50923, 51275, 52734, 51275, 54156, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 55441, 51153, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 50844, 51275, 54611, 51198, 50886, 51275, 53901, 51280, 50854, 51153, 53847, 51198, 50810, 51275, 52559, 56387, 50800, 52176, 53660, 51280, 50810, 51153, 52599, 76348, 51275, 52510, 51280, 50813, 51153, 53688, 51708, 69863, 54166, 51280, 50813, 51153, 50840, 50799, 56387, 50879, 52176, 50923, 51198, 50833, 51275, 51835, 51198, 50813, 51275, 53548, 51280, 50854, 51153, 53847, 51198, 50810, 51275, 52559, 56387, 50800, 52176, 53660, 51280, 50810, 51153, 52599, 51144, 51003, 51308, 51003, 51275, 51003, 51435, 52728, 51099, 51003, 51308, 51003, 51275, 51003, 51516, 50889, 50799, 56387, 50879, 52176, 50923, 51275, 54611, 51275, 53383, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 54465, 51153, 54208, 51119, 53875, 59632, 50799, 56387, 50879, 52176, 50923, 51275, 52734, 51275, 54156, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 55441, 51153, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 50844, 51275, 54611, 51198, 50886, 51275, 53901, 51280, 50854, 51153, 53847, 51198, 50810, 51275, 52559, 56387, 50800, 52176, 53660, 51280, 50810, 51153, 52599, 76348, 51275, 52510, 51280, 50813, 51153, 53688, 51708, 69863, 54166, 51280, 50813, 51153, 50840, 64955, 50889, 51144, 50943, 51308, 50943, 73140, 51435, 52910, 53038, 50914, 51099, 51003, 51308, 51003, 51275, 51003, 51516, 53912, 51964, 50914, 51232, 51003, 51119, 51003, 51153, 51003, 51489, 52728, 51964, 50914, 51144, 51003, 51119, 51003, 51153, 51003, 51435, 50889, 50799, 56387, 50923, 52537, 51012, 52176, 74292, 52734, 51275, 53425, 51119, 50917, 51153, 50859, 50428, 51308, 55658, 51275, 65337, 51153, 52749, 51275, 59628, 51489, 54125, 73144, 51153, 66766, 51516, 55395, 51275, 50887, 51578, 60021, 56387, 51090, 52537, 51054, 52176, 50824, 51153, 55268, 51119, 55433, 56387, 50849, 52537, 50849, 52176, 50893, 51153, 50887, 50799, 55760, 50923, 53366, 51012, 51964, 74292, 52734, 51275, 53425, 51153, 58129, 51275, 56535, 51153, 54773, 51275, 62682, 55760, 51090, 53366, 51054, 51964, 54145, 51153, 63505, 55760, 50849, 53366, 50849, 51964, 50893, 50799, 60196, 50923, 52785, 51012, 53038, 74292, 52734, 51275, 53425, 60056, 51153, 66086, 51308, 55658, 70650, 51275, 65337, 51275, 64123, 51489, 59628, 51435, 59662, 51516, 54125, 51153, 50859, 51578, 60831, 51948, 53418, 51275, 50887, 51837, 60021, 60196, 51090, 52785, 51090, 53038, 50824, 51153, 55268, 51119, 55433, 60196, 50849, 52785, 50849, 53038, 50893, 51153, 50887, 50799, 70472, 50923, 56387, 50923, 53366, 74292, 52734, 51275, 53425, 51153, 58129, 51275, 56535, 51153, 54773, 60196, 50914, 53038, 50896, 51435, 59731, 55760, 50914, 51964, 51016, 51516, 51013, 69378, 52038, 52537, 50889, 51708, 51016, 52353, 58129, 52929, 53974, 52353, 56535, 51578, 54773, 52176, 72687, 50896, 52353, 61032, 52929, 54811, 52353, 56762, 51578, 54721, 51708, 50889, 51119, 51016, 52353, 59682, 52929, 54418, 52353, 57264, 51578, 50859, 74421, 50800, 51512, 50821, 52353, 58481, 52929, 54681, 52533, 50840, 51232, 50890, 52353, 55747, 51578, 53950, 53483, 51623, 51494, 51977, 52353, 58129, 52929, 53974, 52353, 56535, 51578, 54773, 52353, 61032, 52929, 54811, 52353, 56762, 51578, 54721, 52353, 59682, 52929, 54418, 52533, 50808, 51232, 50858, 52353, 57264, 53483, 50808, 74751, 51578, 50859, 72722, 51991, 51099, 52536, 52461, 54718, 51578, 55747, 52461, 53950, 52929, 54937, 52461, 56535, 52929, 54773, 52353, 55489, 52929, 56762, 52353, 54721, 52353, 59682, 52778, 54418, 51708, 50808, 74751, 54513, 57264, 52040, 50808, 51099, 50858, 53519, 50859, 68819, 51538, 51119, 51941, 55165, 54718, 55165, 55747, 58889, 53950, 55165, 54937, 55165, 56535, 58889, 54773, 55165, 55489, 55165, 56762, 58889, 54721, 52040, 50889, 51099, 51016, 55165, 55433, 58889, 57264, 65510, 50859, 64680, 50800, 51494, 50821, 59150, 62229, 53483, 50840, 51198, 54392, 52176, 51538, 51708, 51941, 50432, 65510, 56535, 58889, 54773, 55165, 61032, 53519, 54811, 54513, 56762, 52778, 54721, 55165, 59682, 53519, 54418, 54513, 57264, 52778, 50859, 50799, 52353, 58292, 52537, 50889, 51708, 51016, 52353, 58129, 52929, 53974, 52353, 55395, 52176, 72687, 50896, 51578, 55489, 52353, 56762, 52929, 54721, 51708, 50889, 51119, 51016, 52353, 55433, 51578, 50887, 74421, 50800, 51512, 50821, 52353, 58481, 52929, 54681, 52533, 50840, 51232, 50890, 52353, 54818, 53483, 51623, 51494, 51977, 51578, 54937, 52353, 56535, 52929, 54773, 52353, 55489, 51578, 55433, 52040, 50808, 51232, 56860, 51847, 50808, 74751, 61310, 51933, 51099, 51655, 50426, 71498, 51435, 55214, 51308, 50805, 51275, 54993, 51308, 50805, 51639, 52692, 51516, 50889, 51948, 58833, 67731, 50452, 53483, 55874, 51869, 64848, 52477, 52955, 51708, 50812, 51516, 50901, 52353, 71295, 51706, 54421, 52040, 60091, 51280, 50887, 54458, 51198, 51264, 51099, 51696, 51308, 51655, 50419, 50630, 50420, 51516, 50901, 51948, 50805, 50424, 50629, 50426, 52353, 51077 ]
[ 0, 250, 2635, 8, 5679, 26709, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 20, 13305, 1974, 5, 1049, 33301, 150, 145, 7513, 30, 10, 1515, 21305, 8, 21072, 4, 85, 16, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 1510, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 50856, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 56697, 50906, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 63719, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 50856, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 56697, 50906, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 63719, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52208, 52020, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 50856, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 56697, 50906, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 63719, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 68615, 51184, 54048, 51352, 54634, 51184, 51533, 51184, 51206, 51184, 50856, 50974, 50415, 52408, 57214, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52412, 71824, 56391, 53774, 50873, 54277, 56473, 56697, 54888, 50873, 52695, 56473, 56711, 53774, 50873, 54277, 50879, 54048, 54158, 50974, 50799, 52479, 51352, 52490, 51184, 54048, 51795, 54634, 51184, 51533, 51184, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52464, 50873, 51946, 56473, 56391, 53774, 50873, 54277, 56473, 56697, 52408, 50824, 54888, 50873, 52695, 56473, 56711, 53774, 50873, 54277, 50879, 54048, 54158, 50974, 50799, 52276, 51732, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52208, 52020, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52369, 52020, 51352, 53631, 51352, 51137, 51352, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 50824, 51874, 50824, 52595, 50824, 54380, 50824, 51132, 55415, 56711, 50856, 50974, 50799, 52408, 51009, 52490, 51795, 54048, 51352, 54634, 51795, 51533, 51795, 51206, 51184, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52412, 71824, 56391, 53774, 50873, 54277, 56473, 56697, 54888, 50873, 52695, 56473, 56711, 53774, 50873, 54277, 50879, 54048, 54158, 50974, 50799, 52117, 51352, 52490, 51407, 54048, 51352, 54634, 51407, 51533, 51407, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52464, 50873, 51946, 56473, 56391, 53774, 50873, 54277, 56473, 56697, 52412, 50824, 54888, 50873, 52695, 50879, 52490, 50824, 54048, 50824, 54634, 50824, 51533, 55415, 56711, 53774, 50873, 54277, 56473, 50974, 50799, 52276, 51732, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52208, 52020, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52369, 52020, 51352, 53631, 51352, 51137, 51352, 50856, 50974, 54569, 51352, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 50824, 51874, 50824, 52595, 50824, 54380, 50824, 51132, 55415, 56711, 50856, 50974, 50799, 52276, 51029, 53774, 50873, 54888, 50873, 54277, 50879, 52695, 50879, 52490, 51009, 54048, 51009, 54634, 51009, 51533, 51009, 51206, 51184, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 52412, 51029, 53774, 51218, 54888, 51218, 54277, 51364, 52695, 51364, 50856, 56298, 52293, 51009, 55617, 51009, 51526, 71824, 56391, 50856, 56697, 53355, 55415, 56711, 50856, 50974, 50799, 52276, 51029, 53774, 50873, 54888, 50873, 54277, 50879, 52695, 50879, 52490, 51009, 54048, 51009, 54634, 51009, 51533, 71824, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 52412, 51029, 53774, 51218, 54888, 51218, 54277, 51364, 52695, 51364, 50856, 56298, 52293, 51009, 55617, 51009, 51526, 71824, 56391, 50856, 56697, 53355, 55415, 56711, 50856, 50974, 50799, 52276, 51029, 53774, 50873, 54888, 50873, 54277, 50879, 52695, 50879, 52490, 51009, 54048, 51009, 54634, 51009, 51533, 71824, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 52412, 51029, 53774, 51218, 54888, 51218, 54277, 51364, 52695, 51364, 50856, 56298, 52293, 51009 ]
[ 0, 250, 15352, 30054, 5175, 1619, 2214, 4246, 13305, 6, 21072, 6, 769, 196, 6757, 6, 38668, 22052, 6, 8, 81, 9756, 8669, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 211, 538, 6, 19, 10, 33215, 16739, 9, 211, 119, 1176, 406, 6, 272, 73, 495, 6, 163, 119, 6, 83, 6, 8, 163, 119, 4, 20, 1374, 6711, 16, 19448, 6, 5679, 26709, 6, 8, 1372, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50796, 50444, 51669, 55932, 52257, 53409, 53876, 57886, 54797, 52485, 52807, 57023, 52257, 50846, 50799, 57848, 51945, 52769, 51991, 51669, 50915, 52043, 51343, 52257, 51189, 54797, 73576, 51669, 51172, 52043, 51172, 52257, 51484, 54797, 78151, 51669, 55761, 52257, 53409, 53876, 62172, 54797, 52485, 52807, 56132, 52257, 50846, 50799, 52806, 51452, 56090, 51675, 51607, 51162, 52043, 51294, 52257, 51204, 52807, 78797, 51607, 52946, 50432, 51607, 51642, 52043, 51645, 52257, 51645, 52807, 51645, 50444, 51669, 55245, 53876, 58215, 54797, 52349, 52807, 56132, 52257, 50884, 50799, 57848, 51518, 52769, 51518, 51669, 51346, 52043, 51362, 52257, 51204, 54797, 51204, 50426, 51669, 57959, 51669, 51797, 52043, 51484, 52257, 51253, 54797, 52188, 50444, 51669, 55268, 53876, 56353, 54797, 52485, 52807, 56132, 52257, 50828, 71862, 51353, 51614, 51351, 51440, 51238, 51607, 51141, 52043, 51295, 52257, 79416, 51440, 72883, 51440, 51108, 51607, 51466, 52043, 51108, 52257, 51333, 50433, 51614, 51642, 50444, 51614, 57764, 50624, 50450, 51614, 51097, 51440, 51008, 51669, 50995, 53335, 80245, 51607, 51484, 50457, 51440, 51058, 50799, 57848, 52071, 52769, 51097, 51614, 51480, 51660, 50981, 51434, 50981, 51808, 60324, 51614, 50870, 54615, 51736, 51614, 50915, 51660, 51003, 51434, 50981, 51808, 50995, 52769, 51535, 53918, 53263, 54615, 51110, 50443, 52817, 56508, 51614, 51423, 51660, 51101, 51434, 51242, 51808, 68590, 52769, 61545, 53200, 50844, 50799, 57848, 51714, 52769, 51803, 51614, 51025, 51660, 51377, 51434, 51312, 51808, 50995, 54615, 52774, 53918, 67761, 54615, 60412, 53036, 58191, 51614, 51480, 51660, 51312, 51434, 51109, 51808, 51097, 52817, 72758, 52769, 53010, 50450, 51614, 51101, 51660, 50845, 51434, 50901, 51808, 54509, 52769, 50837, 50799, 56090, 52071, 52806, 50995, 51774, 51124, 51660, 50943, 51434, 51003, 51440, 50915, 50423, 53664, 53425, 51774, 50971, 53036, 54729, 52806, 51318, 51774, 51419, 51660, 51134, 51434, 51391, 51440, 51542, 54615, 76013, 53036, 51364, 50450, 51774, 51178, 51660, 51178, 51434, 51194, 51440, 70854, 52806, 50834, 54615, 51060, 71862, 51790, 51774, 51194, 51660, 51003, 51434, 51003, 53036, 51933, 50426, 51774, 53962, 51774, 51121, 51660, 50914, 51434, 60510, 51774, 58271, 53722, 51101, 51614, 50905, 51944, 51177, 51440, 50849, 50799, 57848, 52069, 52769, 51312, 51614, 50849, 51660, 51157, 51434, 51157, 51808, 51267, 50423, 53200, 52329, 51614, 50870, 54615, 54729, 51808, 51003, 52769, 51127, 51614, 51003, 51660, 50889, 51434, 50889, 53918, 55632, 54615, 69994, 52817, 59731, 51808, 50838, 51614, 51008, 51660, 51481, 51434, 54771, 51614, 50863, 52769, 55397, 53200, 50887, 50799, 57848, 51991, 52769, 51591, 51614, 50937, 51660, 51056, 51434, 51048, 51808, 51056, 54615, 56179, 53918, 73427, 54615, 65708, 53036, 53974, 51614, 51043, 51660, 51312, 51434, 51056, 51808, 51109, 52817, 51364, 50444, 52769, 51884, 50450, 51614, 51111, 51660, 51111, 51434, 51060, 51808, 70854, 52769, 51128, 50799, 56090, 51714, 52806, 51391, 51774, 51363, 51660, 51267, 51434, 51267, 51440, 51312, 50423, 53664, 52329, 53036, 54729, 52806, 50981, 51774, 50845, 51660, 51134, 51434, 51134, 51440, 51134, 54615, 51646, 53036, 51362, 50444, 51774, 54626, 51774, 51043, 51660, 51178, 51434, 51194, 51440, 51178, 50453, 53719, 53312, 52806, 50829, 71862, 51742, 51774, 50845, 51660, 51043, 51434, 57933, 53719, 51291, 50426, 51774, 60838, 51774, 51254, 51660, 51330, 51434, 75589, 53722, 51101, 51614, 50901, 51944, 51100, 51440, 51111, 50799, 55243, 51204, 51614, 50914, 51660, 51204, 51434, 51091, 51808, 51241, 50423, 53200, 53049, 53719, 51736, 55243, 51115, 51614, 50849, 51660, 50807, 51434, 50807, 51808, 50943, 54375, 54125, 52817, 70595, 51614, 50827, 54615, 60866, 51614, 51101, 51660, 51121, 51434, 51060, 51808, 73575, 54615, 56132, 54615, 50918, 50799, 54437, 51115, 52769, 51003, 51774, 51178, 51660, 51218, 51434, 51141, 51808, 79416, 51774, 56504, 52769, 52896, 53722, 51295, 52806, 51003, 51614, 51203, 51944, 51203, 51440, 51025, 51669, 51412, 54615, 52728, 51614, 51100, 51944, 50873, 51440, 51121, 51669, 55345, 52806, 50864, 50799, 54437, 52151, 52769, 51677, 51660, 51003, 51808, 51419, 51774, 51255, 51434, 50981, 50417, 53664, 55777, 54615, 58292, 51774, 50863, 54615, 57611, 51434, 50914, 51808, 51003, 51774, 51191, 51660, 50943, 54615, 58818, 54615, 64127, 53719, 55268, 51774, 50905, 51660, 50873, 51434, 50901, 51808, 50892, 52817, 80049, 54615, 51345, 50456, 52769, 50837, 67547, 51267, 51944, 51056, 51440, 51267, 51669, 51267, 53722, 51413, 52806, 51446, 50417, 54615, 52910, 51614, 51534, 51944, 51423, 51440, 51642, 51669, 72762, 52806, 51283, 51434, 51412, 51607, 51255, 53722, 51283, 51774, 51337, 51660, 65029, 51614, 51212, 51944, 50901, 51440, 50974, 51669, 51255, 50799, 57848, 51945, 52769, 50915, 51614, 51178, 51660, 50914, 51434, 50915, 51808, 51003, 50423, 53200, 54818, 51614, 50941, 54615, 52309, 52769, 51189, 51614, 51221, 51660, 50889, 51434, 50889, 51808, 50914, 53918, 69740, 54615, 69994, 52817, 78795, 51614, 58271, 51614, 51309, 51660, 51233, 51434, 51178, 51808, 51412, 50456, 52769, 54603, 53200, 50859, 67547, 50915, 51808, 51134, 57848, 51945, 52769, 51077, 51660, 51003, 51434, 50914, 54615, 56763, 53918, 75177, 54615, 77198, 53036, 54725, 51614, 51191, 51660, 51204, 51434, 51294, 51808, 51241, 50434, 52817, 53218, 52769, 68366, 51614, 50827, 51660, 50844, 51434, 50854, 51808, 53820, 51614, 66430, 53719, 50813, 50799, 56090, 51189, 52806, 51241, 51774, 51377, 51660, 51157, 51434, 51159, 51440, 51056, 53036, 59492, 51774, 51124, 51660, 51178, 51434, 51221, 51440, 75359, 52806, 50904, 54615, 76622, 51774, 51377, 51660, 51377, 51434, 51400, 51440, 51025, 53722, 51134, 53036, 51343, 50450, 51774, 50933, 51660, 51058, 51434, 50978, 51440, 70347, 52817, 75331, 50625, 57448, 57848, 51204, 52769, 51191, 51614, 50915, 51660, 50943, 51434, 50943, 51808, 51134, 50953, 51364, 56141, 52536, 52817, 51896, 51137, 51364, 51456, 59757, 51456, 58980, 51224, 55800, 51289, 54562, 57848, 51056, 52769, 51048, 51614, 51013, 51660, 50896, 51808, 50807, 51434, 51016, 50953, 51896, 51137, 51896, 62273, 53219, 50625, 50441, 51456, 55186, 51456, 55254, 51660, 50387, 53120, 54450, 56141, 50910, 51289, 59426, 60541, 63838, 50961, 71862, 50812, 51774, 50812, 51660, 50808, 51434, 50833, 51440, 50833, 68755, 50701, 50342, 51264, 51181, 50952, 77412, 53023, 53722, 50991, 51774, 51221, 51660, 51110, 51434, 51221, 51440, 51255, 50927, 51055, 51181, 51073, 62273, 52667, 53722, 51294, 51774, 51091, 51660, 51091, 51434, 51191, 51440, 51191, 50927, 51685, 51181, 51896, 51935, 52388, 60464, 53200, 69520, 55186, 53918, 50893, 51224, 55254, 51660, 51400, 51434, 51312, 51440, 51253, 53722, 51480, 51774, 51411, 54615, 50893, 51289, 54450, 53036, 50911, 51289, 50961, 50799, 57848, 51605, 52769, 51345, 51614, 50807, 51434, 51013, 51808, 50943, 51669, 50943, 50953, 51364, 50701, 50342, 52122, 54615, 51343, 56266, 51295, 56007, 51692, 61091, 51295, 51137, 51364, 77412, 53023, 50856, 52712, 52769, 54546, 55019, 51989, 53644, 52769, 51162, 51614, 51013, 51944, 50914, 51440, 50914, 51669, 50914, 50953, 51977, 54615, 51274, 54628, 51562, 63213, 51562, 51137, 51896, 58994, 53116 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 3495, 12, 6930, 18731, 24904, 6, 42, 765, 2214, 11, 230, 538, 1575, 10, 3152, 6757, 981, 5, 169, 6, 2800, 30, 3459, 9590, 6, 21072, 6, 3459, 8669, 6, 8, 38668, 20535, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 33928, 8, 19448, 2125, 14, 115, 1807, 157, 25, 3618, 930, 11, 10, 2365, 2749, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50927, 56429, 62745, 50964, 56429, 52302, 51069, 51012, 69063, 50883, 51544, 53644, 51069, 51012, 65352, 51392, 50949, 51570, 53027, 51069, 51012, 51479, 55245, 52261, 50456, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 57606, 66670, 53358, 55229, 51069, 51505, 52105, 77719, 51505, 50801, 56339, 54968, 51069, 50950, 51471, 50441, 50927, 57565, 51479, 55245, 67920, 65352, 51392, 50949, 52288, 63186, 59757, 50964, 58609, 51069, 51138, 51479, 50961, 51544, 52667, 51069, 68391, 56339, 50949, 51570, 52875, 51069, 51138, 51479, 55245, 51762, 65095, 56339, 50949, 50799, 52261, 50417, 51069, 57606, 51069, 55572, 50898, 55229, 51069, 51012, 74270, 74802, 65352, 51392, 54968, 51069, 52516, 66065, 50927, 77762, 53358, 55245, 79785, 58144, 51392, 50949, 57752, 56051, 51069, 51138, 51011, 51138, 51881, 51732, 51615, 51732, 51711, 51732, 53358, 50949, 51544, 52927, 51069, 51138, 75344, 50748, 50289, 51732, 50748, 50304, 51732, 65352, 51392, 50949, 51570, 53044, 66670, 51011, 51138, 53358, 55245, 52093, 50456, 58144, 51392, 50949, 50799, 51762, 50417, 51069, 50950, 51011, 58609, 51069, 51031, 51011, 58484, 51392, 55229, 51069, 51012, 51011, 51138, 51956, 50432, 74442, 51133, 51012, 58144, 51392, 54968, 51069, 50950, 51011, 50950, 51471, 50441, 72308, 51271, 77762, 51479, 55245, 76199, 58144, 51392, 50949, 52288, 50950, 51271, 58052, 59757, 61262, 50950, 65763, 51133, 58609, 66670, 51011, 51138, 51479, 50961, 51544, 53644, 66670, 51011, 51045, 65352, 51392, 50949, 51570, 53806, 66670, 51011, 51138, 53358, 55245, 52093, 50456, 65352, 51392, 50949, 53028, 54639, 51069, 51031, 51011, 56621, 51069, 50859, 51011, 53672, 51392, 56828, 51069, 50882, 51011, 54856, 51069, 51031, 51011, 51392, 52975, 74802, 51133, 51012, 65352, 51392, 54968, 51069, 50950, 51011, 52516, 57681, 50927, 51045, 51271, 73136, 51479, 50961, 51618, 55254, 51068, 58611, 54450, 50801, 51928, 54886, 54508, 55947, 50961, 53028, 52302, 77764, 52949, 55024, 63239, 53087, 52949, 51739, 53644, 77764, 52949, 55024, 54844, 51392, 54968, 52949, 51739, 53027, 77764, 52301, 50923, 51479, 55245, 52301, 51130, 55647, 52949, 54712, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 50880, 52949, 57188, 51069, 50921, 51953, 55024, 51392, 55229, 51069, 51286, 51953, 51739, 52925, 50964, 51388, 51953, 55461, 56339, 57244, 51953, 57174, 51069, 50821, 51471, 50441, 65895, 51914, 60159, 51479, 55245, 67920, 65352, 51392, 50949, 52534, 50834, 50927, 66097, 59757, 50964, 53113, 69703, 52949, 53703, 50898, 55800, 52949, 50962, 52261, 50432, 51069, 51021, 52949, 55461, 56339, 54968, 52949, 50962, 51956, 50441, 52949, 57736, 69703, 52301, 55461, 50898, 58017, 52301, 55230, 51762, 50453, 52949, 54403, 50801, 56339, 50949, 50799, 52261, 50417, 51069, 50930, 52949, 57242, 51069, 50896, 51953, 55461, 50898, 55229, 51953, 51594, 53670, 61499, 51953, 55461, 54844, 51392, 57244, 51953, 55381, 51069, 51594, 66065, 78770, 51914, 57736, 53358, 55245, 79785, 58144, 51392, 50949, 50799, 51859, 59057, 59757, 51953, 57242, 50945, 50962, 51859, 55024, 63239, 55133, 51859, 54631, 50945, 51739, 53644, 65352, 51392, 57244, 50945, 55734, 51859, 50962, 51842, 50441, 51213, 50930, 51859, 54952, 68489, 73252, 51676, 55461, 50898, 58017, 51133, 51379, 51676, 56604, 52261, 50453, 52301, 51460, 50456, 50964, 51021, 65352, 50898, 50949, 50799, 52008, 50417, 52301, 55492, 72865, 51859, 55024, 51392, 55229, 50945, 51014, 51859, 51739, 52925, 53088, 55572, 56339, 57244, 72865, 51914, 55381, 51471, 50441, 51213, 50962, 52301, 66066, 50953, 51030, 51479, 55245, 67920, 50964, 51735, 65352, 51392, 50949, 57752, 56051, 72865, 51859, 55461, 50898, 55800, 72865, 51859, 51014, 52261, 53782, 56339, 57244, 72865, 51859, 50882, 51570, 54656, 51213, 50962, 52421, 57736, 50953, 51014, 51676, 55461, 50898, 58017, 51133, 51354, 51676, 61208, 67920, 50964, 51021, 52301, 55024, 56339, 50949, 50799, 52261, 50420, 65895, 51914, 55461, 50898, 55229, 65895, 51914, 50962, 74270, 67390, 51914, 55461, 54844, 51392, 57244, 51914, 70228, 69828, 53088, 55589, 66065, 51019, 51014, 50945, 54952, 51953, 55572, 51392, 58017, 50816, 50895, 51899, 51139, 50846, 54706, 54210, 50964, 51735, 76458, 53316, 57841, 58074, 57752, 56051, 77764, 51571, 51138, 69063, 50883, 51544, 53644, 77764, 65352, 51392, 50949, 51570, 53027, 77764, 51479, 55245, 52261, 50456, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 50880, 52949, 57242, 51069, 50921, 52949, 53703, 51392, 55229, 51069, 51286, 52949, 51014, 52105, 77719, 51388, 52301, 57169, 56339, 54968, 51069, 50821, 52949, 50962, 51471, 50441, 65895, 51914, 66066, 51479, 55245, 67920, 52705, 51152, 52409, 51392, 50949, 52534, 50834, 50927, 66097, 59757, 50964, 53113, 69703, 51479, 50961, 51544, 52667, 51069, 65398, 56339, 50949, 51570, 52875, 69703, 51479, 55245, 51762, 65095, 56339, 50949, 50799, 52261, 50417, 51069, 50930, 52949, 57606, 51069, 50896, 52949, 54405, 50898, 56828, 52949, 53939, 52949, 51010, 74270, 61499, 52301, 51045, 65352, 51392, 54968, 51069, 50882, 52949, 51130, 66065, 78770, 51914, 77762, 53358, 55245, 52112, 65095, 51928, 54844, 51392, 57841, 53088, 50962, 51953, 51014, 57752, 59757, 51953, 55446, 77764, 51914, 55461, 63239, 55133, 51914, 56667, 52301, 54065, 53644, 77764, 52949, 51138, 65352, 51392, 54968, 51953, 51508, 55788, 51953, 55933, 77764, 51914, 55024, 50898, 58017, 51914, 56604, 52301, 51138, 52261, 50456, 52949, 51483, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 50880, 52949, 57188, 51069, 50921, 51953, 51045, 53358, 55229, 51069, 51286, 51953, 51045, 52105, 77719, 51388, 51953, 57888, 56339, 57244, 51953, 64543, 51069, 50821, 51471, 50441, 65895, 51914, 77762, 51479, 55245, 67920, 65352, 51392, 50949, 52534, 50834, 50927, 66097, 59757, 50964, 53113, 51205, 51012, 52484, 50823, 53144, 50823, 51479, 50961, 51544, 52667, 50801, 56339, 54968, 51205, 50950, 52484, 50858, 53144, 51010, 51956, 50441, 65763, 52484, 50949, 53144, 57736, 72308, 51409, 50860, 51914, 53558, 50898, 55245, 72308, 51409, 50803, 51914, 50950, 67920, 50927, 51735, 51409, 51072, 51914, 51735, 50801, 56339, 50949, 50799, 52261, 50420, 51205, 51138, 52484, 50860, 53144, 57888, 50898, 56828, 53144, 57480, 53144, 50950, 74270, 51914, 51138, 65352, 51392, 54968, 53144, 52853, 66065, 51953, 57565, 53358, 55245, 79785, 50964, 51735, 51767, 54774, 52050, 51392, 50949, 57752, 56051, 51069, 51138, 51571, 50803, 51881, 51732, 51615, 51732, 51711, 51732, 53358, 50949, 51544, 52927, 51069, 51138, 50748, 50289, 51732, 50748, 50304, 51732, 65352, 51392, 50949, 51570, 53044, 66670, 53358, 55245, 52093, 50456, 58144, 51392, 50949, 50799, 51762, 50417, 51069, 58609, 51069, 58484, 51392, 55229, 51069, 51012, 51956, 50432, 74442, 58144, 51392, 54968, 51069, 50950, 51471, 50441, 50927, 57565, 51479, 55245, 76199, 58144, 51392, 50949, 52288, 58052, 59757, 61262, 50950, 50964, 58609, 66670, 51479, 50961, 51544, 53644, 66670, 65352, 51392, 50949, 51570, 53806, 66670, 53358, 55245, 52093, 50456, 65352, 51392, 50949, 53028, 54639, 51069, 56621, 51069, 53841, 51392, 56828, 51069, 54856, 51069, 51392, 52975, 74802, 65352, 51392, 54968, 51069, 52516, 57681, 50927, 77762, 51479, 50961, 51618, 55254, 51068, 51858, 54450, 50801, 51928, 55720, 54508 ]
[ 0, 250, 15352, 30054, 5175, 2125, 19, 25771, 4785, 6, 4246, 10, 13305, 816, 11, 10, 7212, 155, 73, 398, 86, 6543, 4, 20, 2214, 16, 11, 5, 762, 9, 83, 538, 6, 19, 5, 40286, 381, 8, 1918, 8165, 1328, 4, 2285, 63, 765, 13428, 6, 24, 10200, 7, 35334, 10, 1186, 9, 6711, 29, 6, 31, 20425, 7, 19448, 6, 19, 10, 11602, 9, 15073, 6, 442, 24, 10686, 13, 304, 11, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50628, 52323, 50902, 66982, 79193, 75856, 51114, 52688, 50999, 53052, 51146, 52718, 51787, 56943, 56350, 51814, 50838, 52323, 51487, 77955, 51592, 50877, 75856, 51430, 52688, 51399, 53052, 50999, 52718, 50951, 53624, 50968, 50838, 52323, 51114, 58754, 51592, 50877, 75856, 50999, 52688, 50951, 53052, 51114, 52718, 50968, 53624, 50902, 50838, 52323, 51028, 59389, 50918, 51027, 51677, 67855, 53770, 50902, 54100, 51028, 54137, 50973, 58127, 53218, 50877, 50905, 52323, 50902, 74468, 51490, 50899, 52528, 50420, 51114, 55752, 50999, 57524, 51146, 55659, 51787, 65351, 67302, 51814, 51074, 52323, 51487, 52216, 50305, 52528, 50877, 52528, 50420, 51430, 55752, 51399, 57524, 50999, 55659, 50951, 59837, 50968, 51074, 52323, 51114, 71066, 52528, 50877, 52528, 50420, 50999, 55752, 50951, 57524, 51114, 55659, 50968, 59837, 50902, 51074, 52323, 50877, 52026, 50301, 52140, 50999, 52140, 56248, 51108, 57267, 51108, 52323, 50902, 66982, 79193, 75856, 51114, 52688, 50999, 53052, 51146, 52718, 51787, 56943, 56350, 51814, 50838, 52323, 51487, 77955, 51592, 50877, 75856, 51430, 52688, 51399, 53052, 50999, 52718, 50951, 53624, 50968, 50838, 52323, 51114, 58754, 51592, 50877, 75856, 50999, 52688, 50951, 53052, 51114, 52718, 50968, 53624, 50902, 50838, 52323, 51028, 59389, 50918, 51027, 51677, 67855, 53770, 50902, 54100, 51028, 54137, 50973, 58127, 53218, 50877, 50905, 52323, 50902, 74468, 65842, 52528, 50420, 51114, 55752, 50999, 57524, 51146, 55659, 51787, 65351, 53218, 51814, 51074, 52323, 51487, 52216, 50305, 52528, 50877, 52528, 50420, 51430, 55752, 51399, 57524, 50999, 55659, 50951, 59837, 50968, 51074, 52323, 51114, 71066, 52528, 50877, 52528, 50420, 50999, 55752, 50951, 57524, 51114, 55659, 50968, 59837, 50902, 51074, 52323, 51027, 65186, 67095, 51314, 71241, 57543, 52424, 50916, 58794, 74018, 51283, 52323, 50956, 75856, 51220, 52688, 51114, 53052, 50951, 52718, 50999, 53624, 51114, 50838, 52323, 50999, 62215, 51592, 50916, 51592, 50861, 75856, 50951, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 51147, 77955, 51592, 50916, 75856, 50999, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 50951, 58754, 51592, 50989, 75856, 51114, 52688, 50902, 53052, 50968, 52718, 51114, 53624, 50902, 50838, 52323, 50951, 51644, 50303, 51148, 50899, 53413, 50420, 51114, 54335, 50951, 54100, 50999, 53913, 51220, 74682, 60510, 51399, 50901, 52323, 51146, 51458, 50298, 70704, 51399, 53890, 51146, 54259, 50999, 54233, 51220, 69324, 58141, 50951, 50873, 52323, 51114, 58754, 51080, 51027, 51592, 63766, 52688, 51114, 53052, 50999, 52718, 50951, 77955, 56350, 50968, 50838, 52323, 50989, 55673, 58754, 51592, 55902, 55648, 52688, 50877, 61907, 53052, 50861, 57022, 52718, 50989, 57883, 53624, 50916, 64079, 50932, 52323, 50956, 51592, 50989, 75856, 51220, 52688, 51114, 53052, 50951, 52718, 50999, 53624, 51114, 50838, 52323, 50999, 62215, 75856, 50951, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 51147, 77955, 51592, 50916, 75856, 50999, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 50951, 58754, 75856, 51114, 52688, 50902, 53052, 50968, 52718, 51114, 53624, 50902, 50838, 52323, 50951, 51644, 50303, 51148, 50899, 53413, 50420, 51114, 54335, 50951, 54100, 50999, 53913, 51220, 74682, 60510, 51399, 50901, 52323, 51146, 51458, 50298, 70704, 51399, 53890, 51146, 54259, 50999, 54233, 51220, 69324, 58141, 50951, 50873, 52323, 51114, 58754, 51080, 51027, 51592, 63766, 52688, 51114, 53052, 50999, 52718, 50951, 77955, 56350, 50968, 50838, 52323, 50899, 75657, 60934, 50999, 50932, 52323, 51081, 64569, 52916, 50899, 52916, 50420, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 52916, 50916, 52916, 50420, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50916, 53164, 50325, 51080, 51027, 52916, 53645, 54498, 50861, 65521, 50932, 52323, 50871, 57777, 63030, 51518, 55902, 52688, 50877, 53052, 50861, 52718, 50871, 60472, 56350, 50916, 50892, 52323, 51081, 58754, 52916, 50420, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 52916, 50916, 51922, 50420, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50999, 51551, 51027, 52916, 53645, 54498, 50861, 65521, 50932, 52323, 50899, 68026, 75657, 60934, 50999, 50932, 52323, 51081, 64569, 52916, 50899, 52916, 50420, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 51592, 50916, 75856, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50916, 53164, 50325, 51870, 51027, 52916, 53645, 54498, 50861, 65521, 50889, 52323, 50871, 57777, 63030, 51518, 55902, 52688, 50877, 53052, 50861, 52718, 50871, 60472, 56350, 50916, 50892, 52323, 51081, 58754, 51592, 50871, 75856, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 52916, 50916, 51922, 50420, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50999, 51080, 51027, 52916, 53645, 54498, 50861, 65521, 50932, 52323, 50899, 68026, 75657, 51080, 60496, 50932, 52323, 50931, 63030, 51703, 50871, 75656, 51080, 60718, 54498, 51027, 65377, 59219, 65521, 50932, 52323, 50931, 63030, 51244, 50871, 75656, 51080, 60718, 54498, 51027, 68184, 60268, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 64291, 60015, 65521, 50932, 52323, 50877, 54869, 51028, 53052, 50968, 52718, 50999, 50932, 52323, 50931, 63030, 51447, 50871, 75656, 51080, 60718, 54498, 51027, 72272, 61817, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 68368, 59460, 65521, 50932, 52323, 50931, 63030, 51336, 50871, 75656, 51080, 60718, 54498, 51027, 53531, 50308, 73523, 65521, 50932, 52323, 50902, 54869, 50931, 53052, 50999, 52718, 51146, 50932, 52323, 50931, 63030, 51009, 50871, 75656, 51080, 60718, 54498, 51027, 62195, 60169, 65521, 50932, 52323, 50931, 63030, 51336, 50871, 75656, 51080, 60718, 54498, 51027, 64291, 60015, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 65377, 59219, 65521, 50932, 52323, 50877, 54869, 51028, 53052, 50968, 52718, 50999, 50932, 52323, 50931, 63030, 51447, 50871, 75656, 51080, 60718, 54498, 51027, 72272, 61817, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 68368, 59460, 65521, 50932, 52323, 50931, 63030, 51336, 50871, 75656, 51080, 60718, 54498, 51027, 53531, 50308, 73523, 65521, 50932, 52323, 50902, 54869, 50931, 53052, 50999, 52718, 51146, 50932, 52323, 50902, 66982, 79193, 75856, 51114, 52688, 50999, 53052, 51146, 52718, 51787, 56943, 56350, 51814, 50838, 52323, 51487, 77955, 51592, 50877, 75856, 51430, 52688, 51399, 53052, 50999, 52718, 50951, 53624, 50968, 50838, 52323, 51114, 58754, 51592, 50877, 75856, 50999, 52688, 50951, 53052, 51114, 52718, 50968, 53624, 50902, 50838, 52323, 51028, 59389, 51080, 51027, 51677, 67855, 53770, 50902, 54100, 51028, 54137, 50973, 58127, 56350, 50877, 50905, 52323, 50902, 74468, 79193, 52528, 50420, 51114, 55752, 50999, 57524, 51146, 55659, 51787, 65721, 56350, 51814, 51074, 52323, 51487, 52216, 50305, 52528, 50877, 75856, 51430, 55752, 51399, 57524, 50999, 55659, 50951, 59837, 50968, 51074, 52323, 51114, 71066, 52528, 50877, 75856, 50999, 55752, 50951, 57524, 51114, 55659, 50968, 59837, 50902, 51074, 52323 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 11, 230, 538, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 34, 10, 19448, 8, 5679, 26709, 5466, 6, 19, 10, 11602, 9, 1619, 4780, 4, 85, 3905, 41, 18186, 112, 73, 306, 86, 6543, 8, 26658, 149, 10, 651, 9, 40286, 217, 2060, 119, 401, 6, 1918, 406, 6, 3676, 6, 274, 6, 8, 211, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50624, 51057, 51284, 52097, 52430, 51300, 50920, 54711, 50920, 54347, 50920, 50844, 52389, 51059, 50920, 50874, 53666, 53627, 50920, 55098, 51201, 50894, 51182, 50387, 52127, 51057, 52113, 50991, 51444, 50894, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 50894, 51165, 50894, 51093, 50894, 51107, 50894, 51266, 58446, 60685, 51113, 52097, 51656, 51535, 50920, 53066, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 72560, 55893, 51993, 50991, 50920, 52654, 51444, 53056, 51029, 50920, 57544, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 52346, 50607, 52925, 53128, 50991, 50920, 55098, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 54023, 50607, 50828, 51057, 53271, 50894, 51107, 51527, 53181, 51490, 51838, 51127, 50920, 59636, 52372, 50991, 51246, 50894, 50960, 50894, 50970, 58446, 52406, 50607, 52761, 50920, 72560, 54579, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 50387, 52127, 50426, 51993, 50800, 53271, 53056, 51300, 50920, 56274, 51246, 58446, 72560, 52953, 52113, 50795, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 52476, 50607, 55135, 50920, 50812, 51057, 51633, 50991, 54432, 50894, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 50894, 51201, 51527, 53817, 51314, 52036, 51148, 50920, 62226, 50883, 53321, 54448, 51246, 50923, 50960, 50923, 50970, 50923, 50947, 68576, 52296, 51993, 50991, 52190, 52793, 52710, 54432, 53056, 51300, 50920, 52765, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 53627, 58196, 50991, 50920, 62226, 55486, 51246, 50894, 50998, 50894, 50947, 50894, 51863, 51675, 50920, 76832, 50846, 51057, 51266, 52097, 52225, 51535, 52133, 51080, 50920, 57368, 56056, 50807, 51246, 50894, 50998, 50894, 50947, 58446, 76832, 52981, 50920, 52476, 50607, 55795, 51246, 50894, 50998, 50894, 50947, 50387, 52127, 50426, 51725, 53056, 51300, 50920, 72560, 55001, 53128, 50795, 51246, 58446, 52476, 50607, 52209, 51246, 50894, 50998, 50894, 50947, 58446, 52476, 50607, 55486, 54761, 50800, 51107, 52208, 51838, 51243, 50920, 50833, 51057, 56056, 51091, 51504, 50894, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 50894, 54720, 51314, 52430, 51447, 52886, 51148, 51711, 51748, 51711, 51293, 51838, 51671, 50920, 62226, 50883, 53321, 54448, 50986, 50923, 50998, 50923, 50970, 50923, 50947, 68576, 52476, 50607, 55893, 50920, 53049, 51504, 53056, 51300, 50920, 52476, 50607, 57469, 54761, 50800, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 53513, 50920, 62226, 54002, 53128, 50800, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 72560, 50895, 51057, 52372, 51091, 53271, 50894, 52137, 51448, 53181, 51447, 54307, 51127, 50920, 54275, 51246, 50894, 50960, 50894, 50970, 53277, 50607, 53127, 52871, 52190, 55657, 53184, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 53049, 53271, 53056, 51029, 50920, 58129, 51993, 50795, 51246, 53277, 50607, 53836, 52658, 51246, 50894, 50970, 50894, 50947, 58446, 62226, 55135, 52372, 50800, 51838, 51145, 50920, 50812, 51057, 53128, 63746, 51552, 50929, 51552, 51076, 51552, 51113, 53435, 51838, 52212, 53389, 52335, 51656, 52062, 52137, 52062, 55815, 51945, 53499, 51922, 72026, 53321, 76832, 53336, 51667, 52542, 62226, 53423, 51667, 50918, 50920, 50833, 52389, 51009, 50920, 62226, 50949, 53666, 52749, 50920, 53104, 50607, 55135, 50920, 50812, 51057, 51317, 52097, 50998, 52097, 50929, 52097, 50947, 52097, 52414, 51134, 52414, 52598, 50920, 50859, 53321, 72560, 52981, 50920, 62226, 55133, 50920, 51620, 53828, 52221, 50824, 50920, 52765, 50920, 53911, 50920, 56535, 50920, 50833, 51057, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 62226, 50818, 53321, 54611, 53428, 51603, 51311, 51460, 50960, 51460, 50970, 51460, 50947, 51460, 50920, 52476, 50607, 55795, 50920, 50854, 52389, 51300, 50920, 56919, 52190, 56710, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 66113, 52869, 54440, 50920, 62226, 59871, 53428, 57907, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 53277, 50607, 52079, 50854, 51057, 50920, 68621, 52869, 51090, 50417, 51311, 50923, 50960, 50923, 50970, 50923, 50947, 50923, 52190, 53963, 53932, 52190, 53127, 52296, 50920, 53049, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 53056, 51029, 50920, 52765, 53428, 51033, 52190, 53127, 52749, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 53277, 50607, 52079, 68974, 53428, 50940, 58455, 50822, 51057, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 58446, 52476, 50607, 57610, 53428, 50948, 50417, 52190, 52432, 52869, 51745, 51246, 50923, 51317, 50923, 50970, 50923, 50929, 68576, 62226, 55133, 50920, 50854, 52389, 51029, 50920, 62226, 56710, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 50894, 50999, 52311, 50920, 52749, 51081, 52311, 52190, 53067, 54125, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 50894, 51339, 51527, 72026, 51057, 50920, 72560, 70426, 53428, 51021, 50417, 51246, 50894, 51317, 50923, 50970, 50923, 50929, 68576, 52871, 50920, 62226, 68936, 52869, 51021, 50423, 51246, 58446, 51620, 53050, 50952, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 53056, 51029, 50920, 53104, 50607, 50884, 53666, 52476, 50607, 60759, 53048, 57647, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 58446, 56535, 54271, 70094, 62226, 50883, 51057, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 58446, 53504, 51430, 68576, 53376, 50607, 53113, 51131, 50923, 50986, 50923, 50998, 50923, 50929, 68576, 53104, 50607, 57852, 53048, 51661, 51339, 50387, 52127, 50426, 51430, 53056, 51029, 50920, 53104, 50607, 60137, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 50894, 51062, 58446, 52476, 50607, 54154, 50999, 68576, 53104, 50607, 53660, 51131, 50894, 50986, 50894, 50998, 58446, 50812, 51057, 51062, 51573, 50920, 53104, 50607, 57368, 51131, 50894, 50986, 50923, 50998, 50923, 50929, 68576, 76832, 50950, 56952, 62226, 57852, 55324, 50921, 51131, 58446, 53049, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 53056, 51300, 50920, 62226, 50894, 50427, 53428, 50940, 53666, 66113, 52869, 54154, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 58446, 62226, 74958, 53050, 50952, 58455, 50810, 51057, 54271, 51603, 50986, 50894, 50998, 50894, 50929, 58446, 50800, 53321, 53376, 50607, 55492, 50986, 50923, 50998, 50923, 50929, 68576, 52296, 50920, 74298, 55388, 50967, 52389, 51029, 50920, 52476, 50607, 58236, 50986, 50894, 50998, 50894, 50929, 50387, 52127, 50432, 53428, 51077, 50920, 72560, 54125, 50986, 50894, 50998, 50894, 51078, 58446, 52406, 50607, 50950, 51057, 50920, 57368, 50986, 50894, 50998, 50923, 51078, 52362, 50340, 50894, 53919, 58446, 52346, 50607, 53113, 51787, 58446, 72560, 57852, 50986, 50894, 51814, 58446, 52710, 50986, 50894, 50998, 50894, 51078, 50894, 51405, 50894, 51787, 53056, 51029, 50920, 62226, 58465, 51787, 58446, 52406, 50607, 54154, 50986, 50894, 50998, 50894, 51078, 50894, 50999, 52362, 50331, 58446, 62226, 56966, 72026, 51057, 53428, 51215, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 50894, 51081, 52311, 50920, 62226, 50894, 53321, 52871, 51246, 50923, 50960, 50923, 50970, 50923, 50947, 68576, 62226, 76237, 52869, 51603, 50423, 51339, 51552, 50920, 50854, 52389, 51029, 50920, 62226, 58236, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446 ]
[ 0, 250, 2365, 8, 17627, 17274, 5175, 19834, 4246, 13305, 6, 21072, 6, 21979, 9590, 6, 6755, 12547, 6, 8, 3459, 8669, 4, 8504, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 3136, 23, 10, 6379, 27841, 3006, 11332, 20889, 6, 2351, 41, 9066, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50650, 56236, 51461, 51351, 50900, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 51615, 51655, 55815, 52503, 50419, 51752, 50879, 56084, 56179, 51207, 51391, 51136, 72038, 51752, 50805, 56084, 50805, 50431, 51596, 51173, 56033, 70756, 51461, 61169, 52161, 51060, 57464, 67174, 51461, 51295, 51207, 50838, 51136, 50892, 50443, 51596, 51060, 56033, 51060, 50449, 51752, 50795, 56084, 51798, 51207, 51006, 51136, 50866, 50454, 52161, 54454, 57464, 54454, 50456, 51461, 76888, 52255, 51036, 55929, 51417, 50900, 52335, 50956, 52335, 50965, 52335, 51136, 50873, 51846, 77847, 51846, 50901, 51136, 53308, 51522, 54930, 51522, 51562, 50445, 51136, 50873, 51846, 56711, 51461, 50937, 50461, 51656, 51264, 55929, 51218, 51027, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 77475, 51136, 77921, 51596, 51685, 56033, 51685, 50426, 51131, 51006, 51136, 54342, 51098, 54181, 51098, 51218, 50444, 51131, 50987, 51136, 69265, 51752, 51192, 56084, 68179, 52659, 50834, 52161, 56073, 57464, 56073, 50460, 52255, 51264, 55929, 51218, 50900, 52335, 50956, 52335, 50965, 52335, 51136, 50873, 51846, 77847, 51846, 50901, 51136, 53308, 51522, 54181, 51522, 51141, 50445, 51136, 50873, 51846, 56711, 52318, 61764, 51615, 51036, 55929, 51218, 50900, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 51136, 50873, 51207, 50974, 50421, 51752, 50882, 56084, 68315, 51752, 51030, 51207, 50901, 51136, 50849, 56084, 60022, 51098, 50854, 51596, 50879, 56033, 55122, 51098, 51141, 52161, 50879, 57464, 77370, 51596, 50948, 51136, 50873, 51207, 50974, 56033, 57322, 51752, 50873, 56084, 55345, 52318, 50862, 52161, 55362, 57464, 55362, 50459, 52255, 51036, 55929, 51218, 50956, 53142, 50965, 52222, 50876, 52062, 50900, 52335, 50420, 51846, 51680, 50426, 51136, 55378, 51522, 50854, 51169, 56509, 51522, 51218, 50444, 51136, 68324, 50986, 59827, 52659, 50834, 51846, 50838, 50460, 51656, 51036, 55929, 51351, 51027, 51080, 77475, 51136, 77921, 51596, 51685, 56033, 51685, 58097, 52407, 54439, 51333, 51131, 51006, 51136, 54342, 51461, 50833, 50876, 51423, 50438, 51461, 51295, 69375, 50933, 62958, 50956, 53130, 50316, 51058, 51131, 50987, 51136, 69265, 51752, 50924, 56084, 50924, 50455, 52161, 53898, 57464, 53898, 50456, 51461, 66376, 52255, 51307, 55929, 51417, 51176, 51080, 58097, 52407, 51846, 51391, 51136, 51134, 62144, 67995, 51522, 61816, 51423, 50438, 51522, 51562, 51846, 50838, 51136, 55200, 51176, 50933, 70644, 50956, 53130, 50316, 60649, 51846, 51006, 51136, 54752, 51461, 50937, 55929, 72893, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 50801, 55023, 50858, 51340, 52127, 50420, 51246, 51391, 51136, 51134, 51190, 52492, 50421, 51209, 50859, 51768, 50859, 71005, 50427, 51209, 54725, 51461, 50901, 51256, 56702, 67308, 57280, 51295, 51772, 50879, 77222, 51136, 50892, 70718, 50444, 51256, 59899, 50882, 51190, 52492, 50450, 51209, 50845, 51246, 51006, 51136, 50866, 71005, 50456, 51461, 50897, 65069, 55137, 56159, 50457, 51256, 51472, 53202, 51417, 51027, 52335, 50900, 52335, 50956, 52335, 50861, 52335, 50801, 55023, 50930, 51340, 52127, 50420, 51136, 51680, 51190, 52492, 50426, 50947, 50972, 50903, 50930, 71005, 50431, 51451, 51336, 50432, 51150, 50865, 51032, 61725, 67308, 57385, 51562, 70718, 50444, 50947, 51309, 50903, 50930, 51190, 52492, 50450, 50929, 51003, 71005, 50456, 51140, 50937, 51136, 50838, 65069, 55064, 56159, 55929, 51351, 50997, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 50801, 55023, 50858, 51340, 52127, 50420, 52031, 50830, 51246, 51391, 51136, 51134, 51190, 52492, 50426, 52031, 50865, 50903, 50880, 71005, 50432, 51461, 50833, 51390, 55675, 67308, 50438, 51461, 51295, 51334, 50805, 77222, 51136, 50892, 70718, 50444, 50903, 56034, 56159, 50445, 52031, 63589, 51246, 51006, 51136, 50866, 71005, 50451, 51390, 55416, 51461, 50925, 65069, 50858, 51190, 52492, 50457, 51334, 52195, 54389, 73685, 51477, 50861, 51477, 50877, 51477, 51001, 51477, 50801, 55023, 52465, 56095, 50420, 51317, 51637, 50929, 51477, 50903, 50859, 51190, 52492, 50426, 51930, 50849, 71005, 50432, 51560, 50878, 51390, 51472, 65069, 50930, 51190, 52492, 68005, 50807, 68103, 51078, 55056, 55023, 51833, 56095, 55513, 51419, 50989, 51419, 50906, 51419, 51001, 51419, 51444, 51006, 50903, 50930, 51190, 52492, 50450, 51216, 50849, 50986, 51642, 51078, 51363, 50903, 50859, 71005, 50456, 52419, 57567, 55629, 55801, 59210, 50457, 51408, 51013, 53458, 51218, 50906, 53142, 50902, 52222, 50951, 52062, 50861, 52335, 50801, 55023, 50890, 51340, 52127, 50420, 51246, 51391, 50929, 51134, 51190, 52492, 50422, 51229, 51235, 51768, 50930, 71005, 50432, 51389, 54312, 67308, 50433, 51209, 60847, 51389, 51218, 77222, 65244, 70718, 50443, 51229, 51400, 50444, 50903, 56034, 56159, 50450, 51246, 51006, 63124, 71005, 50453, 51408, 62805, 52659, 54109, 61319, 50890, 51190, 52492, 55929, 51241, 50916, 53142, 50861, 52222, 50876, 52062, 50997, 52335, 51390, 51189, 70718, 50420, 51246, 51680, 50903, 50880, 51190, 52492, 50426, 71882, 50903, 50862, 71005, 50432, 51461, 50977, 51334, 51623, 50929, 51003, 65069, 50880, 51190, 52492, 57280, 51295, 70718, 50444, 50998, 51309, 50903, 50887, 51190, 52492, 50450, 76338, 71005, 50456, 51461, 50830, 77222, 65069, 51187, 56159, 53202, 51417, 51176, 51477, 50871, 51477, 50876, 51477, 50801, 55023, 50890, 51340, 52127, 60434, 51637, 51169, 51477, 51190, 52492, 50421, 51674, 50859, 51768, 50930, 71005, 50427, 51674, 57943, 51560, 66667, 67308, 50433, 51209, 51724, 51273, 60339, 51477, 50871, 51477, 50965, 51477, 50902, 51477, 51256, 50879, 68103, 69463, 70718, 50444, 51444, 51006, 50903, 56034, 56159, 50445, 51209, 57415, 51522, 50849, 50986, 51642, 50970, 51363, 71005, 50451, 51674, 55670, 55366, 50878, 65069, 50930, 51190, 52492, 50458, 51322, 51945, 53458, 51218, 50973, 53142, 50902, 52222, 50951, 52062, 50871, 52335, 70718, 50420, 51311, 51391, 50970, 51134, 50903, 50890, 51190, 52492, 50426, 71005, 50432, 51389, 54312, 61319, 50887, 51190, 52492, 50438, 51389, 51218, 76441, 50970, 50892, 70718, 50444, 50903, 50887, 51190, 52492, 50450, 51311, 51006, 65899, 50903, 50809, 71005, 50456, 52659, 54109, 67308, 55929, 51417, 50997, 52335, 50899, 52335, 50956, 52335, 50861, 52335, 51863, 51307, 51246, 50974, 51136, 55937, 55023, 50890, 51340, 52127, 51039, 56159, 50421, 51209, 53950, 51246, 51006, 51136, 50905, 50903, 50930, 71005, 50427, 51209, 56632, 51098, 50865, 51256, 55855, 67308, 57280, 51562, 51772, 54754, 55023, 50887, 51340, 52127, 50444, 51256, 50849, 51246, 50987, 51136, 66551, 50890, 51190, 52492, 50450, 71005, 50451, 51209, 67773, 51461, 50937, 65069, 51049, 56159, 50457, 51256, 51196, 53202, 51218, 51027, 52335, 51086, 52335, 50899, 52335, 50956, 52335, 50861, 52335, 70718, 50415, 51838, 71785, 51136, 51391, 50947, 51134, 50903, 50808, 51190, 52492, 51768, 50857, 71005, 50432, 51150, 54312, 61319, 50887, 51190, 52492, 50433, 51451, 51472, 57385, 51218, 51136, 61793, 50892, 70718, 50444, 50903, 50836, 51190, 52492, 50450, 51136, 51006, 50947, 70571, 50809, 71005, 50455, 52031, 66313, 52659, 54109, 67308, 55929, 51218, 50956, 53142, 50861, 52222, 50876, 52062, 50997, 52335, 51711, 54300, 51246, 50974, 51136, 55937, 55023, 50887, 51340, 52127, 50420, 52031, 50991, 51190, 52492 ]
[ 0, 250, 13363, 28191, 5175, 25771, 2214, 14, 36193, 5, 30443, 7, 10, 3366, 3341, 980, 6, 3820, 19, 3423, 9, 814, 8, 17878, 9, 15073, 4, 20, 12547, 9, 21072, 6, 18558, 10, 25118, 6, 38668, 9590, 6, 31391, 1672, 9590, 6, 8, 3741, 27374, 594, 52, 9419, 561, 10, 5797, 990, 1506, 9, 2369, 6, 150, 5, 16331, 33215, 16739, 9, 381, 401, 8, 163, 406, 32318, 5, 15229, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 3185, 30, 10, 1769, 20889, 6, 42, 2125, 16, 10, 31294, 2787, 3251, 149, 41, 97, 39860, 34753, 5252, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50791, 71523, 52676, 50779, 50603, 52396, 50779, 50603, 50818, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 52885, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 50384, 50790, 50603, 52922, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 50379, 50790, 50603, 52922, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 52885, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 50384, 50790, 50603, 52922, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 50379, 50790, 50603, 52922, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 50384, 50790, 50603, 52922, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 50379, 50790, 50603, 52922, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 52885, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 51874, 50923, 58154, 50802, 54470, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798 ]
[ 0, 713, 14899, 3495, 2214, 11, 211, 538, 22750, 1626, 11098, 8, 8593, 26358, 6, 1969, 13, 2365, 50, 33558, 9629, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 41, 12547, 9, 21979, 8, 3459, 29589, 6, 13305, 6, 9590, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 20425, 5466, 4, 20, 33215, 16739, 9, 211, 6, 83, 406, 6, 211, 6, 272, 6, 8, 83, 3639, 7, 63, 33200, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 52563, 51795, 52548, 51352, 54039, 52266, 50798, 50921, 52112, 51039, 55081, 50798, 50887, 52389, 51864, 53230, 50804, 52374, 50887, 51450, 52964, 50887, 51180, 50887, 56953, 53711, 62113, 55433, 53212, 51168, 50880, 52563, 51352, 52548, 51352, 54039, 53174, 50798, 52374, 77740, 55081, 50798, 50883, 52389, 52675, 54937, 50804, 52374, 50887, 51450, 56214, 50887, 51180, 55761, 50798, 54411, 50798, 52675, 55433, 53212, 51163, 50921, 52563, 51795, 52548, 51352, 54039, 52266, 50798, 54444, 71417, 55081, 50798, 50887, 52389, 51508, 54937, 50804, 52374, 50887, 51450, 52964, 50887, 51180, 50887, 56953, 53711, 62113, 55433, 53212, 51168, 50880, 52563, 51009, 51007, 61958, 52374, 55777, 51007, 50821, 52548, 50950, 54039, 52153, 55081, 50798, 53087, 51007, 50858, 52403, 50930, 54696, 53235, 52675, 53230, 51649, 50890, 52138, 55060, 52374, 55395, 51439, 50930, 52548, 55146, 51130, 53806, 60264, 52612, 54411, 51019, 51779, 61945, 58133, 51213, 65021, 51014, 52563, 50976, 55493, 57642, 50936, 51782, 52526, 55573, 52758, 53340, 55081, 50798, 54818, 73182, 52758, 52411, 51508, 54937, 52758, 54345, 52374, 50887, 55208, 50976, 55493, 56728, 52964, 55489, 52758, 52675, 50887, 56953, 53711, 50927, 51388, 52758, 52411, 51864, 55433, 52758, 53474, 56175, 50880, 52288, 50975, 53032, 56562, 52374, 55777, 52758, 51044, 55081, 50798, 53087, 51011, 50975, 52758, 53690, 52675, 54937, 50804, 52374, 50887, 53758, 51388, 50850, 51291, 51007, 51661, 51840, 71941, 56214, 50887, 51180, 55761, 50798, 54411, 51011, 70958, 52675, 55433, 52758, 54218, 57228, 50921, 52288, 51286, 53032, 60909, 50921, 52112, 50420, 52758, 52873, 55081, 50798, 54818, 51011, 51388, 52758, 53351, 51864, 53230, 52758, 53988, 52374, 50887, 53758, 51379, 53032, 56728, 52964, 55489, 52758, 51406, 50887, 56953, 53711, 51011, 51379, 52758, 53630, 51864, 55433, 52758, 53988, 56175, 50880, 52563, 51505, 55493, 50936, 52758, 53632, 52374, 55777, 52758, 52304, 55081, 50798, 53087, 50927, 51167, 53195, 56562, 52675, 54937, 52758, 54332, 52374, 50887, 55208, 72629, 51274, 51007, 51274, 51439, 67878, 56214, 55489, 50927, 51508, 55761, 50798, 54411, 51019, 61958, 52675, 55433, 51213, 50821, 52758, 53988, 57228, 50921, 52563, 51505, 55493, 59872, 54196, 54507, 52758, 52217, 55081, 50798, 54818, 50927, 51192, 52758, 52411, 51508, 54937, 52758, 54472, 52374, 50887, 55208, 50802, 55493, 68633, 52964, 55489, 52758, 52938, 50887, 56953, 53711, 50927, 51379, 52969, 53662, 51864, 55433, 52969, 54218, 56175, 50880, 52534, 51505, 53195, 53435, 50798, 52374, 77740, 55081, 50798, 53087, 50953, 55311, 52675, 54937, 50804, 52374, 55395, 65716, 50909, 52090, 51021, 52574, 52526, 52284, 68634, 50935, 51370, 55761, 50798, 54411, 50964, 51045, 50909, 54187, 50840, 52574, 52526, 52163, 51228, 51014, 51125, 52420, 57228, 50921, 52288, 51460, 51007, 51941, 52758, 52311, 50798, 50936, 51782, 52526, 61493, 55081, 50798, 54818, 51011, 51388, 57207, 54937, 50804, 52374, 50887, 53758, 71994, 52964, 50887, 51180, 50887, 56953, 53711, 51011, 50976, 52758, 53235, 51864, 55433, 52758, 54332, 56175, 50880, 52563, 51354, 51007, 50858, 52548, 50948, 52758, 73651, 52374, 55777, 51007, 50859, 54039, 50940, 53032, 50938, 55625, 51437, 55081, 50798, 53087, 50927, 50980, 51007, 50821, 52403, 50880, 54696, 50858, 55493, 60206, 52675, 54937, 51649, 50809, 52138, 54078, 52374, 50887, 55208, 50811, 51439, 50880, 52548, 53662, 56214, 55489, 50927, 52633, 55761, 50798, 54411, 51019, 52589, 52675, 55433, 51213, 50858, 52758, 54078, 57228, 50921, 52563, 50976, 55493, 53056, 50936, 51782, 52526, 52244, 51198, 78112, 50882, 51429, 50950, 52758, 51135, 55081, 50798, 54818, 50927, 51167, 52758, 51730, 51508, 54937, 51198, 50858, 51099, 50880, 51429, 50962, 52758, 54078, 52374, 50887, 55208, 51286, 55493, 50921, 52758, 52259, 52964, 55489, 51198, 50858, 51099, 50880, 51429, 51010, 52758, 51239, 50887, 56953, 53711, 50927, 51167, 52758, 51730, 51864, 55433, 51198, 78112, 50882, 51429, 50882, 52758, 53988, 56175, 50880, 52288, 51173, 53032, 51030, 52758, 52411, 52374, 55777, 51198, 50859, 51494, 50809, 51119, 50930, 51153, 50858, 52758, 51406, 55081, 50798, 53087, 51011, 51379, 52758, 53662, 52675, 54937, 51198, 50859, 51494, 50809, 51119, 50930, 51153, 52997, 52374, 50887, 53758, 68984, 56214, 55489, 51198, 50859, 51494, 50809, 51119, 50880, 51153, 62712, 51364, 51007, 51294, 51840, 51204, 50791, 55761, 50798, 53711, 51011, 73651, 52675, 55433, 51198, 50859, 51494, 50809, 51119, 50880, 51153, 50858, 52758, 54212, 57228, 50921, 52288, 51192, 53032, 50882, 52758, 53983, 50936, 52112, 50420, 51198, 50859, 51494, 50809, 51119, 50880, 51153, 50890, 52758, 52207, 55081, 50798, 54818, 51011, 51192, 52758, 51747, 51508, 53230, 51198, 50887, 51494, 50887, 51119, 50880, 51153, 50890, 52758, 54332, 52374, 50887, 53758, 51160, 53032, 50921, 52758, 52411, 52964, 55489, 51198, 50887, 51494, 50809, 51119, 50880, 51153, 50890, 52758, 52675, 50887, 56953, 53711, 51011, 51379, 52758, 53690, 51864, 55433, 76437, 51494, 50809, 51119, 50880, 51153, 50859, 52758, 54047, 56175, 50880, 52563, 51388, 55493, 56728, 52374, 55777, 51198, 50858, 51099, 50930, 51429, 50930, 52758, 52675, 55081, 50798, 53087, 50927, 51175, 52758, 50809, 53195, 51654, 52675, 54937, 51198, 78112, 50894, 51429, 50894, 52758, 53474, 52374, 50887, 55208, 54168, 56214, 55489, 51198, 50858, 51099, 50930, 51429, 50930, 68755, 51007, 51191, 51439, 51091, 52548, 51294, 52112, 56953, 54411, 51019, 61958, 52675, 55433, 51198, 78112, 50880, 51429, 50880, 51213, 50821, 52758, 54218, 57228, 50921, 52563, 50976, 55493, 68633, 54444, 54507, 51198, 78112, 50880, 51429, 50880, 52758, 52873, 55081, 50798, 54818, 50927, 51167, 52758, 53238, 51508, 54937, 51198, 78112, 50880, 51429, 50880, 52758, 54218, 52374, 50887, 55208, 50976, 55493, 63388, 52964, 55489, 51198, 50887, 51099, 50930, 51429, 50930, 52758, 51559, 50887, 56953, 53711, 50927, 51167, 52969, 53690, 51864, 55433, 51198, 78112, 50880, 51429, 50880, 52969, 52467, 56175, 50880, 52534, 51379, 53195, 75277, 52374, 55777, 51232, 50858, 51099, 50930, 51153, 52153, 55081, 50798, 53087, 50953, 72223, 52675, 54937, 51232, 50858, 51099, 50880, 51153, 54078, 52374, 55395, 64504, 50909, 54187, 51021, 52574, 52526, 55380, 51232, 50890, 51099, 50890, 51153, 50890, 62792, 50935, 53734, 55761, 50798, 54411, 50964, 51045, 50909, 54187, 50840, 52574, 52526, 52163, 51232, 50858, 51099, 50890, 51153, 50880, 51228, 50921, 51125, 50879, 53212, 51163, 50921, 52288, 51379, 51007, 51274, 63293, 51196, 52758, 58673, 50921, 51782, 52526, 52244, 51198, 50859, 51494, 50887, 51119, 52633, 55081, 50798, 54818, 51011, 51286, 57207, 54937, 51198, 50859, 51494, 50809, 51119, 54332, 52374, 50887, 53758, 63388, 52964, 53806, 51198, 50858, 51494, 50809, 51119, 50930, 63293, 50924, 52758, 55593, 50887, 56953, 53711, 66402, 54890, 50810, 52758, 52923, 51864, 55433, 51198, 50887, 51494, 50809, 51119, 50880, 54182, 50812, 52758, 55106, 56175, 50880, 52563, 51952, 50318, 50887, 52548, 50936, 54039, 50924, 55493, 51336, 52758, 69831, 52374, 55777, 51198, 50858, 51099, 50930, 51429, 50882, 51007, 52207, 55081, 50798, 53087, 50927, 51158, 51007, 50962, 52403, 50862, 54696, 53690, 52675, 54937, 51198 ]
[ 0, 713, 5175, 25771, 2214, 6, 278, 11, 83, 3694, 6, 1931, 21683, 10, 19448, 8, 5679, 26709, 5466, 4, 590, 10, 20889, 9, 7004, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 23, 41, 178, 5285, 2877, 4, 20, 3459, 8669, 6, 38668, 20535, 6, 38668, 22052, 6, 8, 1893, 43639, 35810, 561, 15352, 30054, 2301, 6, 150, 5, 21072, 694, 10, 16634, 41063, 15796, 4811, 4, 20, 33215, 16739, 9, 1918, 6, 211, 6, 3676, 6, 1918, 6, 8, 3676, 3639, 7, 5, 2214, 18, 33535, 8, 22845, 41805, 6711, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50453, 54837, 51333, 59113, 51333, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50416, 51322, 75850, 60390, 51748, 53818, 51748, 60231, 52250, 50428, 51256, 51283, 50429, 51229, 64025, 73730, 51490, 50440, 51917, 51283, 50451, 51229, 51172, 50452, 51390, 51309, 50457, 51917, 50933, 50799, 69040, 52598, 50416, 51451, 51283, 50422, 51256, 51199, 50423, 54837, 52256, 59113, 52256, 50427, 51229, 51277, 51390, 68232, 51830, 52718, 50743, 50301, 51490, 54645, 52256, 56648, 52256, 50439, 51912, 62969, 66753, 50446, 51256, 51199, 50452, 51229, 59354, 54837, 51333, 59113, 51333, 51390, 51006, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50417, 51322, 52641, 60390, 51748, 53818, 51748, 50428, 51256, 51277, 50429, 51229, 51277, 51390, 52718, 73730, 51490, 50441, 51451, 59144, 51917, 51283, 50452, 51256, 51277, 65905, 51390, 50838, 50799, 69040, 52598, 50416, 51451, 51381, 50423, 54837, 52256, 59113, 52256, 50427, 51229, 51006, 51390, 56480, 50743, 50301, 51490, 54645, 52136, 56648, 52136, 50439, 51912, 51381, 50451, 51256, 75013, 51229, 51006, 50799, 67624, 51490, 50415, 51322, 51283, 50417, 51390, 51283, 50421, 51256, 51277, 50428, 51256, 51283, 51229, 64025, 73730, 51490, 50439, 52468, 51283, 50445, 51917, 80245, 51256, 51309, 51229, 51277, 50452, 51390, 67590, 51917, 50933, 50799, 69040, 52598, 50415, 51451, 51283, 50421, 51256, 50932, 50427, 51229, 51309, 51390, 51309, 50435, 51934, 59051, 51334, 57514, 51934, 52742, 50743, 50301, 51490, 51390, 77563, 51912, 51283, 50451, 51229, 51277, 51390, 50838, 50799, 67624, 51490, 50415, 51322, 51283, 50421, 51256, 75850, 51229, 51283, 50427, 51390, 64025, 73730, 51490, 51917, 73196, 51256, 71320, 51229, 51172, 51390, 68590, 51917, 50827, 50799, 69040, 52598, 51256, 51283, 51451, 51283, 50421, 51321, 59761, 51229, 69029, 51390, 51172, 50427, 51321, 59483, 51256, 52788, 50743, 50301, 51490, 78048, 51912, 51283, 50441, 78048, 51229, 78369, 51321, 53639, 50856, 50873, 65905, 50451, 51390, 51006, 50799, 67624, 51490, 51322, 51283, 50421, 51256, 51283, 50427, 51229, 51283, 51390, 51283, 50433, 51322, 56480, 73730, 51490, 51917, 56819, 51917, 51283, 50445, 51256, 80245, 51229, 51277, 51390, 50838, 50799, 69040, 52598, 50415, 51451, 51283, 50421, 51256, 51381, 50427, 51229, 51172, 51390, 51172, 50433, 51451, 52788, 50743, 50301, 51490, 50440, 51912, 51381, 50442, 51229, 51484, 50451, 51229, 51006, 50452, 51390, 51006, 50453, 54837, 51333, 59113, 51333, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50416, 51322, 55983, 51256, 75850, 60390, 51748, 53818, 51748, 50428, 51229, 51283, 51390, 51283, 50434, 51322, 52788, 73730, 51490, 50440, 51830, 51283, 50446, 65905, 50452, 51229, 51309, 51390, 51277, 50458, 51256, 50825, 50799, 69040, 52598, 51321, 70325, 51451, 51283, 50421, 51321, 60161, 51390, 56909, 54837, 52256, 59113, 52256, 50427, 78048, 51229, 51172, 50428, 51390, 51309, 50433, 51321, 58608, 51256, 53945, 50743, 50301, 51490, 54645, 52256, 56648, 52256, 50439, 51321, 66085, 51912, 51283, 51256, 50932, 50442, 51321, 61374, 51390, 51381, 50445, 51321, 56688, 50856, 50833, 50452, 51256, 51006, 50453, 54837, 51333, 59113, 51333, 51229, 51006, 51809, 54699, 51417, 51209, 52944, 52060, 54592, 50584, 62642, 51209, 68428, 52060, 54592, 50584, 78753, 51390, 51006, 52004, 51006, 50434, 51830, 62551, 51772, 53945, 52060, 54592, 50584, 50833, 54560, 51127, 51366, 51283, 50440, 51451, 51381, 50444, 52060, 54592, 50584, 67509, 51366, 51484, 50452, 51229, 51199, 50455, 51772, 53217, 52060, 54592, 50584, 62659, 54699, 50943, 51229, 51484, 50799, 52060, 58120, 51322, 51172, 51390, 50827, 51256, 60123, 52060, 61543, 51390, 61784, 51553, 50870, 51256, 53591, 51456, 50870, 51229, 64999, 51917, 58990, 51451, 53272, 51224, 51210, 54783, 51241, 51334, 62763, 51451, 51484, 51366, 75343, 51334, 53052, 51366, 53720, 51772, 50825, 51334, 59051, 51917, 57514, 51322, 53945, 52060, 50870, 57619, 51127, 51664, 51283, 50439, 51322, 54905, 52060, 53594, 52060, 59002, 51256, 51199, 50447, 51553, 53003, 52060, 79616, 51229, 51006, 51390, 51006, 50454, 51845, 50855, 50799, 51547, 64936, 54699, 51127, 50418, 51209, 77873, 52060, 54592, 50584, 53049, 52060, 54592, 50584, 62209, 51390, 51006, 52004, 56789, 52004, 62551, 54560, 64345, 52060, 54592, 50584, 65833, 51451, 51381, 51366, 56350, 52060, 54592, 50584, 64681, 51229, 51199, 50451, 51366, 50933, 51229, 51309, 50452, 51366, 51484, 50454, 51772, 53217, 52060, 54592, 50584, 62474, 51830, 72486, 51408, 50825, 50799, 52060, 50870, 54699, 50943, 52000, 50825, 51256, 51283, 50415, 52000, 65533, 51322, 80256, 52060, 53420, 52060, 59109, 51322, 51283, 50423, 51553, 59045, 54377, 57908, 52060, 51210, 50427, 51229, 51283, 50433, 51256, 70142, 54067, 56389, 52060, 50870, 51366, 55608, 52060, 61118, 51256, 56350, 52060, 59002, 51322, 51484, 50447, 51553, 60145, 54560, 56508, 52060, 79616, 51229, 50932, 50455, 51925, 56974, 51830, 50933, 50460, 51209, 58449, 54699, 51127, 51601, 52004, 50932, 51209, 72108, 52060, 54592, 50584, 53049, 52060, 54592, 50584, 50833, 52004, 53052, 51830, 50933, 50436, 51772, 53945, 52060, 54592, 50584, 50833, 54560, 51127, 51451, 51381, 51772, 56819, 51366, 51381, 50444, 52060, 54592, 50584, 50833, 51229, 68832, 51229, 50932, 50454, 51772, 53217, 52060, 54592, 50584, 72070, 51366, 58449, 54699, 50943, 50799, 52060, 50870, 51229, 51277, 51322, 51484, 50415, 51390, 51172, 51256, 51172, 50417, 52060, 53420, 51553, 50870, 51229, 53591, 51456, 60548, 51917, 58990, 51451, 68428, 51224, 51210, 54783, 75725, 51366, 57018, 51366, 53720, 51772, 59051, 51917, 57514, 57619, 51127, 51322, 53945, 52060, 60470, 51322, 51283, 50441, 52060, 53594, 52060, 59002, 51229, 51484, 50447, 51553, 53003, 52060, 79616, 51390, 59781, 51925, 50937, 51322, 57077, 51772, 50825, 50799, 54699, 51417, 51209, 51484, 50415, 51408, 51172, 51390, 51172, 52004, 70152, 52060, 54592, 50584, 66031, 51209, 53272, 52060, 54592, 50584, 62209, 51209, 61284, 54560, 64345, 52060, 54592, 50584, 50833, 51451, 51283, 50439, 51772, 50825, 51366, 51381, 50444, 52060, 54592, 50584, 67509, 51229, 51283, 50454, 51772, 53217, 52060, 54592, 50584, 50833, 50799, 52060, 50870, 54699, 51377, 50415, 52000, 65533, 51322, 50932, 52000, 59834, 52060, 61543, 52000, 72108, 52060, 54604, 51553, 59045, 54699, 69058, 52060, 51210, 51229, 50827, 50428, 51322, 51283, 51256, 54974, 51229, 51283, 51256, 73143, 52060, 60470, 52000, 51381, 50441, 52060, 53594, 52060, 59265, 51256, 70591, 51553, 53003, 52060, 79616, 51256, 50933, 50452, 51229, 70256, 54837, 51333, 59113, 51333, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50415, 51322, 51283, 50417, 51390, 72108, 51321, 63471, 51256, 64570, 60390, 51748, 53818, 51748, 51321, 50833, 60231, 52250, 50428, 51256, 51283, 51229, 79309, 51321, 53415, 73730, 51490, 51065, 65833, 52468, 51283, 50441, 51321, 54207, 50856, 64681, 51917, 80245, 51256, 51309, 51229, 51277, 50452, 51390, 67590, 51917, 50933, 50799, 69040, 52598, 50415, 51451, 72108, 51321, 63471, 51256, 54869, 51321, 62209, 51229, 51309, 51390, 70402, 51321, 55098, 53818, 51074, 51934, 59051, 51334, 57514, 51934, 52742, 50743, 50301, 51490, 60390, 51074, 51065, 50833, 51390, 77563, 51912, 51283, 50441, 54638, 52256, 51321 ]
[ 0, 713, 765, 6, 14899, 5175, 3495, 2214, 11, 12608, 538, 1575, 10, 2020, 3548, 8, 21979, 8669, 816, 34879, 81, 10, 5204, 1451, 1286, 30, 21072, 6, 38668, 9590, 6, 8, 3459, 8669, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 7630, 6568, 6453, 9, 11098, 6, 1007, 6, 8, 10563, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 79254, 51396, 50866, 52814, 53716, 58250, 64362, 51068, 52975, 51891, 51877, 55799, 64130, 58725, 54054, 57514, 50909, 53264, 53457, 53791, 69864, 51396, 50813, 52554, 54912, 52683, 58906, 50387, 53315, 61194, 50992, 51095, 51891, 52100, 58394, 50979, 58929, 50978, 53457, 54054, 61333, 58725, 54054, 58351, 51396, 50937, 52850, 54912, 52683, 58906, 50387, 53315, 61807, 52879, 52100, 62107, 51017, 50878, 58725, 54054, 54026, 50935, 51013, 53457, 54054, 50825, 75158, 50878, 52554, 54912, 52683, 58906, 50387, 53315, 56092, 50992, 50959, 53416, 52100, 52944, 76797, 50873, 53457, 54054, 56856, 58725, 54054, 59768, 52819, 62518, 51396, 50937, 52814, 54912, 52683, 58906, 68388, 50832, 59277, 50979, 76873, 66550, 50820, 51891, 50884, 53457, 50887, 58725, 53716, 57107, 50992, 57511, 50867, 50979, 50810, 51891, 50884, 53457, 50859, 58725, 54054, 59370, 51164, 50805, 52131, 54912, 52683, 58906, 50387, 53315, 64916, 50832, 59144, 66664, 78134, 50992, 50938, 51891, 50884, 53457, 50859, 58725, 54054, 53041, 50832, 56892, 52819, 53851, 51751, 50841, 53167, 59520, 57875, 52683, 63317, 51525, 56353, 51751, 50840, 61735, 51891, 50884, 53167, 50855, 53457, 50859, 58725, 50859, 52632, 53056, 75877, 58323, 51164, 61358, 50887, 52131, 50855, 51758, 79030, 54906, 75877, 50846, 51601, 50988, 64266, 50840, 51707, 50887, 51995, 51014, 51525, 54906, 72922, 51769, 53576, 54503, 50834, 55420, 50834, 54193, 51255, 52819, 61553, 61308, 50924, 54503, 50839, 52814, 50820, 52811, 50923, 52013, 53617, 51130, 59768, 51891, 52870, 58725, 50937, 51068, 53270, 51949, 59805, 55477, 51687, 50833, 51651, 50808, 51327, 56274, 53457, 50937, 78727, 62000, 54503, 51175, 54193, 51175, 52819, 52417, 56139, 50952, 52391, 50841, 52632, 50923, 52013, 53669, 51130, 53940, 73716, 51891, 51877, 66643, 51687, 50840, 51327, 50855, 51651, 50808, 53457, 64154, 53270, 51949, 61682, 63442, 58725, 50873, 60227, 67387, 55420, 50884, 54503, 51238, 54193, 51238, 52819, 58780, 61308, 50924, 52146, 50825, 52811, 50923, 52013, 53669, 51130, 52859, 51258, 50446, 53457, 52275, 63612, 51327, 60668, 56340, 54539, 52275, 59596, 51687, 50833, 51651, 50840, 58725, 50937, 50451, 53457, 52854, 53940, 60491, 54193, 50991, 54503, 51112, 52819, 57208, 56139, 50952, 53416, 50829, 52632, 50923, 52013, 53669, 51130, 52859, 61733, 52146, 54616, 53457, 52144, 56047, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 52672, 52144, 57517, 58250, 50820, 50799, 58725, 50873, 60227, 50928, 50416, 52819, 55138, 61308, 50938, 54503, 50857, 54193, 50857, 52814, 50841, 52811, 51388, 52013, 53669, 51130, 53940, 53738, 51891, 52275, 60776, 54193, 50858, 60065, 66553, 51687, 50833, 51651, 50808, 51327, 50810, 58725, 66679, 56340, 53270, 52275, 57074, 53457, 52201, 52859, 68713, 54503, 50967, 52819, 59551, 56139, 50879, 52031, 50967, 52554, 50829, 52632, 51388, 52013, 53617, 51130, 52859, 50891, 56096, 62000, 51891, 57107, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 66975, 58712, 52275, 58250, 58316, 52031, 50829, 54280, 50867, 58725, 53933, 51833, 52859, 60622, 53076, 52958, 55420, 50863, 54193, 50983, 52819, 55698, 53008, 50884, 51334, 50806, 54503, 50806, 54503, 50983, 55653, 50846, 52811, 51014, 52013, 51539, 52859, 56926, 59120, 58725, 52100, 54485, 53008, 50879, 58725, 50910, 52687, 55024, 54912, 54539, 51949, 58250, 54028, 52031, 50936, 54503, 50936, 53457, 51406, 52859, 53430, 54223, 50938, 52146, 50841, 54076, 51014, 52453, 52859, 50367, 53315, 50377, 55628, 55223, 53457, 63317, 55653, 52100, 63543, 53076, 50859, 54503, 50821, 53008, 50924, 53457, 50937, 52713, 74966, 53270, 51949, 53971, 56804, 56399, 58725, 52270, 52748, 63414, 52819, 55971, 55655, 50924, 54503, 51653, 60841, 51653, 54136, 50841, 53054, 50923, 52013, 53617, 51130, 50825, 51601, 53167, 60941, 55655, 50821, 51590, 50936, 51934, 50936, 53416, 58029, 53270, 51949, 59805, 57404, 52814, 50938, 78727, 54951, 53008, 50936, 52819, 54169, 75564, 60841, 51192, 54503, 51167, 52181, 50820, 52811, 50923, 52013, 51539, 53940, 57395, 51674, 50887, 51934, 50840, 52131, 52275, 64838, 55655, 51014, 52814, 56675, 53270, 51949, 61682, 52953, 54503, 50813, 54193, 50813, 53416, 72196, 59383, 61308, 50924, 52146, 50825, 52811, 50923, 52819, 50377, 55628, 54288, 54503, 51010, 60841, 57888, 51130, 52859, 79532, 54193, 50812, 53457, 52275, 53115, 54503, 75804, 51651, 50840, 51687, 50833, 51327, 50833, 58725, 50937, 51068, 54539, 52275, 61682, 58780, 53457, 50866, 78727, 54485, 54193, 50890, 54503, 53745, 50614, 57460, 56139, 50952, 53416, 50829, 52632, 50923, 52013, 56892, 52453, 52859, 55721, 52146, 51004, 50448, 53457, 52144, 57855, 54503, 50938, 54193, 50938, 50451, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 58029, 53270, 52144, 61682, 57208, 51893, 50846, 54280, 50840, 58725, 51406, 52859, 54059, 54193, 52965, 50614, 54169, 67239, 54503, 50882, 54244, 50936, 52850, 50820, 53149, 50923, 52013, 51539, 53940, 56047, 52879, 52270, 56772, 54280, 50887, 50799, 51893, 50887, 54503, 51014, 54280, 51014, 52000, 50936, 58622, 50910, 51587, 56340, 53270, 52275, 55138, 52879, 51406, 52859, 70637, 52819, 59346, 51893, 50887, 54280, 53841, 51130, 52859, 50369, 55628, 52944, 52286, 50938, 53416, 50841, 54009, 51388, 50422, 51893, 50880, 54280, 50887, 52146, 52270, 59509, 54280, 50846, 54503, 50840, 54193, 50962, 52000, 50921, 52879, 50952, 51068, 52275, 58250, 53270, 65368, 58622, 50855, 52352, 50985, 51949, 60481, 52819, 56839, 54223, 50884, 54280, 50983, 52453, 52859, 50367, 55628, 59278, 52031, 50936, 64251, 52004, 50983, 53416, 50846, 52632, 79726, 53457, 52100, 66640, 54223, 50879, 53457, 50910, 51758, 72644, 51949, 58250, 54169, 54912, 50829, 51570, 52859, 62889, 51408, 50936, 52031, 50936, 52391, 55384, 54244, 50805, 51997, 50841, 53311, 51021, 52013, 54169, 51130, 52859, 50367, 53315, 58780, 52391, 53239, 53416, 52100, 56377, 51934, 50859, 52031, 50821, 54223, 75559, 50937, 51995, 51014, 51587, 56340, 53270, 51949, 53971, 55245, 53457, 51406, 52859, 76595, 52819, 60752, 61308, 50924, 54193, 50975, 54503, 50993, 52814, 50820, 52811, 50923, 52013, 53617, 51130, 59713, 51891, 58323, 51651, 50808, 51327, 50833, 51687, 50925, 58725, 50925, 51068, 53270, 51949, 59805, 58077, 53457, 50873, 78727, 50891, 50799, 52819, 55376, 56139, 50952, 54193, 51167, 52391, 50841, 52632, 50923, 52013, 51539, 56926, 52683, 51258, 50416, 54503, 51167, 50418, 51891, 51877, 73768, 51651, 50808, 51327, 50855, 51687, 50840, 53457, 64154, 53270, 51949, 61682, 54104, 58725, 50937, 61672, 50424, 51983, 50425, 52819, 52639, 61308, 50924, 52146, 50825, 52811, 50923, 52013, 51539, 55401, 52683, 51258, 50427, 54193, 51460, 54503, 51603, 50429, 53457, 52275, 53670, 51687, 50833, 51651, 50840, 51327, 50833, 58725, 50937, 51068, 54539, 52275, 61682, 56565, 53457, 50866, 78727, 66640, 52819, 56305, 56139, 50952, 53416, 50829, 52632, 50923, 52013, 51539, 52859, 55401, 54968, 54503, 51158, 54193, 51158, 52146, 51004, 50440, 53457, 52144, 62971, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 58029, 53270, 52144, 61682, 57460, 58725, 64388, 52748, 55721, 52819, 58321, 61308, 50938, 54193, 50948, 52814, 50841, 52811, 51388, 69061, 50369, 55628, 51539, 62849, 54503, 78020, 51891, 52275, 62476, 51687, 50833 ]
[ 0, 250, 765, 6, 1372, 15855, 2125, 19, 3495, 16882, 6, 4246, 13305, 6, 1021, 5901, 1243, 6, 8, 17691, 28430, 4, 8504, 11, 230, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 10, 11956, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 230, 119, 1176, 406, 6, 274, 6, 8, 230, 31473, 10, 8728, 8, 25306, 619, 7, 42, 657, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50628, 50474, 51784, 55405, 50313, 70977, 53369, 50807, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 52355, 55405, 50309, 79260, 50807, 53369, 52424, 52186, 77979, 79260, 50807, 53369, 52728, 51784, 55405, 50313, 70977, 53369, 60773, 51900, 55405, 50314, 70977, 53369, 59369, 52285, 55405, 50314, 79260, 50807, 53369, 50807, 51540, 51802, 51161, 63514, 50918, 51476, 50918, 53369, 56039, 58202, 70977, 52806, 52728, 52285, 50918, 58202, 50918, 51303, 50918, 52557, 77747, 51900, 55405, 50314, 70977, 52557, 50807, 51540, 51784, 50918, 63514, 50918, 51303, 50918, 51774, 56039, 52824, 78295, 70977, 51774, 52728, 51900, 50983, 65621, 50983, 51465, 50983, 51774, 50983, 50468, 51784, 50795, 51465, 50795, 51774, 64095, 52186, 55405, 50313, 50795, 51476, 50795, 51774, 72909, 65829, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 52382, 53369, 52382, 50474, 51784, 55405, 50313, 70977, 53369, 50807, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 52355, 55405, 50309, 79260, 50807, 53369, 52424, 52186, 55405, 50309, 79260, 50807, 52769, 52728, 51784, 55405, 50309, 79260, 50807, 52806, 60773, 51900, 55405, 50314, 70977, 52557, 59369, 52285, 55405, 50314, 50807, 71217, 52435, 50807, 51540, 51802, 51161, 63514, 50807, 51303, 51161, 51614, 57944, 60231, 52424, 58202, 52728, 51950, 50918, 74489, 50918, 51303, 50918, 52769, 77747, 51802, 55405, 50315, 79364, 50807, 52769, 50807, 51540, 52285, 50918, 58202, 50918, 51465, 50807, 52769, 55834, 51303, 52424, 52285, 55405, 50316, 50807, 71217, 52769, 52728, 51802, 50918, 74489, 50918, 72106, 52769, 50918, 50462, 51231, 59369, 51900, 77979, 70977, 52769, 50807, 51540, 51784, 52382, 65829, 50918, 51465, 50918, 51774, 51161, 50438, 63514, 50807, 51303, 52728, 65621, 50918, 51231, 50918, 54437, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 79364, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 51410, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 51410, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 52326, 52424, 51410, 52728, 51476, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 50807, 52102, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 52102, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 52102, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 51410, 52424, 51465, 52728, 51303, 77747, 51900, 61008, 50314, 72909, 52285, 50795, 58202, 50795, 51540, 51802, 55405, 50318, 50807, 51414, 50807, 52557, 52910, 51802, 55405, 50318, 50807, 72106, 52557, 52424, 51802, 55405, 50318, 50807, 71217, 52557, 52728, 51802, 50918, 60231, 50918, 51303, 50918, 52557, 77747, 51784, 61008, 50313, 72909, 51900, 61008, 50314, 50795, 51540, 52285, 55405, 50316, 50807, 72106, 52806, 52910, 52285, 55405, 50316, 50807, 51651, 50807, 52806, 52424, 52285, 55405, 50316, 50807, 71217, 52806, 52728, 52285, 50918, 58202, 50918, 51719, 50918, 51614, 77747, 52355, 61008, 50313, 50795, 51476, 50795, 53722, 72909, 52355, 61008, 50313, 50795, 51476, 50795, 53722, 50795, 51540, 52355, 55405, 50313, 50807, 52571, 50807, 52769, 52910, 52278, 77979, 50807, 52571, 50807, 52769, 52424, 52714, 55405, 50309, 50807, 52571, 50807, 52769, 52728, 52355, 55405, 50313, 50807, 52571, 50807, 53722, 60773, 52278, 77979, 50807, 52571, 50807, 52769, 59369, 52714, 55405, 50309, 50807, 52571, 50807, 52769, 50807, 51540, 52278, 52382, 68150, 50807, 52690, 50807, 54437, 52382, 50426, 50730, 50306, 50807, 52326, 52424, 68150, 50807, 52571, 52728, 50730, 50308, 50918, 51476, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 79364, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 52102, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 52102, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 52326, 52424, 51410, 52728, 51476, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 79364, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 51410, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 51410, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 51410, 52424, 51465, 52728, 51303, 77747, 51900, 61008, 50314, 72909, 52285, 50795, 58202, 50795, 51540, 51802, 55405, 50318, 50807, 51414, 50807, 52557, 52910, 51802, 55405, 50318, 50807, 72106, 52557, 52424, 51802, 55405, 50318, 50807, 71217, 52557, 52728, 51950, 51161, 50730, 50317, 51161, 51303, 51161, 52557, 51161, 51540, 52515, 55405, 50316, 70977, 51774, 52910, 51950, 55405, 50316, 50807, 71217, 51774, 52424, 51802, 55405, 50316, 50807, 72106, 51774, 52728, 52285, 51036, 58202, 51036, 51719, 51036, 51614, 51036, 75196, 52278, 61008, 50311, 51736, 52355, 61008, 50310, 51646, 52186, 77979, 79364, 50807, 52769, 52728, 52186, 55405, 50310, 79364, 50807, 52769, 60773, 52186, 55405, 50309, 50807, 52102, 50807, 52769, 59369, 52186, 55405, 50308, 79364, 50807, 54437, 50807, 51540, 52355, 50983, 50730, 50308, 50983, 51476, 50983, 54437, 57345, 52278, 61008, 50308, 50795, 52303, 50795, 54437, 51646, 52714, 51492, 68150, 50918, 52326, 50918, 53369, 51492, 50462, 50730, 50308, 50918, 51476, 50918, 51540, 50730, 50306, 50918, 52303, 56039, 50730, 50304, 50918, 52326, 50918, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 1619, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 2236, 1021, 2678, 29, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 8, 2365, 12, 6928, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 51570, 53140, 51892, 50458, 51980, 51313, 50459, 51327, 51313, 50460, 51651, 51313, 50461, 51687, 51359, 50799, 54872, 51307, 50441, 52170, 58348, 51567, 56328, 51986, 51460, 65310, 51238, 51846, 51363, 51317, 51412, 51317, 51412, 50970, 51412, 50970, 51412, 51169, 51363, 51783, 51427, 78012, 53214, 64080, 51236, 55027, 57079, 51325, 51116, 51846, 51534, 51317, 51534, 51317, 51534, 50970, 51534, 50970, 51534, 51169, 51534, 50913, 58844, 50913, 56552, 52170, 70120, 55027, 57959, 51228, 51362, 51846, 50833, 51317, 50810, 51317, 50810, 66805, 66805, 51169, 50379, 52638, 55065, 59037, 51846, 51079, 51317, 51079, 51317, 51079, 69162, 69162, 51169, 51079, 51567, 50386, 52638, 52085, 59580, 50913, 58862, 51846, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51169, 50908, 51986, 70120, 53123, 62622, 51846, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51169, 57402, 50372, 54395, 50447, 51325, 51362, 51846, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51169, 51203, 51986, 56460, 51832, 50450, 50913, 60201, 51783, 58950, 56474, 62082, 51846, 50838, 51317, 50838, 51317, 50838, 69463, 69463, 77217, 51722, 51653, 51383, 52085, 62065, 51383, 54853, 51550, 53596, 50991, 51246, 51269, 51317, 51269, 51317, 51269, 50970, 51269, 50970, 51269, 51064, 57960, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 50970, 51832, 50970, 51832, 51064, 51832, 53444, 59149, 64080, 51246, 51123, 51317, 51123, 51317, 51123, 50970, 51123, 50970, 51123, 51064, 50368, 51369, 55065, 57079, 50945, 51238, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 51236, 56138, 58844, 50913, 56552, 52170, 50993, 51236, 55027, 57959, 51096, 50983, 73838, 51317, 50810, 51317, 50810, 66805, 66805, 51064, 50379, 52638, 55065, 59037, 72377, 51317, 51079, 51317, 51079, 69162, 69162, 51064, 51079, 51383, 55065, 59580, 50913, 58862, 51246, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51064, 50908, 51567, 59149, 62622, 51246, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51064, 57402, 52085, 65932, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 51986, 55065, 51832, 57762, 51160, 51986, 66149, 60201, 51236, 55027, 62082, 77222, 51317, 50838, 51317, 50838, 69463, 69463, 79298, 51783, 80209, 55065, 62065, 51722, 50980, 51383, 54853, 51550, 55194, 51460, 51246, 51269, 51317, 51269, 51317, 51269, 51078, 51269, 51078, 51269, 51064, 57960, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 51078, 51832, 51078, 51832, 51064, 50363, 50994, 64080, 51246, 51123, 51317, 51123, 51317, 51123, 51078, 51123, 51078, 51123, 51064, 50368, 51369, 55027, 57079, 51228, 51235, 51246, 51203, 51317, 51203, 51317, 51203, 51078, 51203, 51078, 51203, 51064, 51203, 53444, 54976, 58844, 50913, 56552, 52170, 56010, 53611, 57959, 53344, 51541, 73838, 51317, 50810, 51317, 64621, 50822, 73776, 51064, 50379, 52638, 52085, 59037, 72377, 51317, 51079, 51317, 51079, 51078, 51079, 51078, 51079, 51064, 51079, 51567, 50387, 52638, 52085, 59580, 50913, 58862, 51246, 50908, 51317, 50908, 51317, 50908, 51078, 50908, 51078, 50908, 51064, 50908, 51986, 56460, 62622, 51246, 50851, 51317, 50851, 51317, 50851, 72212, 72212, 51064, 57402, 50383, 54395, 50447, 51228, 50895, 51246, 51203, 51317, 51203, 51317, 51203, 51078, 51203, 51078, 51203, 51064, 51203, 51986, 59149, 51832, 50450, 51228, 51090, 50913, 60201, 51783, 63973, 53869, 62082, 77222, 51317, 50838, 51317, 50838, 78249, 78249, 79298, 51383, 52085, 62065, 51722, 50911, 51383, 55065, 51550, 55563, 51427, 50986, 51269, 51136, 51269, 51136, 51269, 51169, 51269, 51169, 51269, 51032, 57960, 63301, 50986, 51832, 51136, 51832, 51136, 51832, 51169, 51832, 51169, 51832, 51032, 51832, 51986, 56460, 51269, 60434, 51123, 51136, 51123, 51136, 51123, 51169, 51123, 51169, 51123, 51032, 51123, 51722, 63973, 55065, 57079, 51105, 51175, 50986, 51203, 51136, 51203, 51136, 51203, 51169, 51203, 51169, 51203, 51032, 51203, 51986, 51573, 50913, 58844, 50913, 56552, 51236, 53189, 57959, 51796, 51226, 67295, 51136, 50810, 51136, 50810, 78735, 51032, 50379, 52638, 55065, 59037, 68104, 51136, 51079, 51136, 51079, 51169, 51079, 51169, 51079, 51032, 51079, 51383, 55027, 59580, 50913, 74787, 52170, 73064, 50986, 50908, 51136, 50908, 51136, 50908, 51169, 50908, 51169, 50908, 51032, 53461, 62622, 78777, 74977, 74977, 51169, 50851, 51169, 50851, 51032, 57402, 50383, 54395, 50447, 51105, 50818, 50986, 51203, 51136, 51203, 51136, 51203, 51169, 51203, 51169, 51203, 51032, 51203, 50913, 51832, 57762, 50806, 51567, 51021, 50913, 60201, 51236, 56474, 62082, 51325, 50923, 67395, 71546, 71546, 51169, 50827, 51169, 50827, 67671, 51986, 51021, 51383, 52085, 62065, 75480, 51136, 50984, 51136, 50984, 76992, 76992, 51032, 50369, 52638, 52085, 51550, 55708, 51427, 51846, 51363, 51317, 51412, 51317, 51412, 50970, 51412, 50970, 51412, 51169, 51363, 51495, 52121, 78012, 50415, 51783, 51054, 53214, 64080, 51236, 54853, 57079, 51325, 51235, 51846, 51534, 51317, 51534, 51317, 51534, 50970, 51534, 50970, 51534, 51169, 51534, 51061, 55428, 50913, 58844, 50913, 56552, 52170, 70120, 55027, 57959, 52022, 50896, 51846, 50833, 51317, 50810, 51317, 50810, 66805, 66805, 51169, 50833, 51281, 52821, 51383, 55065, 59037, 51846, 51079, 51317, 51079, 51317, 51079, 69162, 69162, 51169, 51079, 51567, 50923, 51383, 55027, 59580, 50913, 58862, 51846, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51169, 50908, 52170, 56460, 62622, 51846, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51169, 57402, 50381, 54395, 50447, 51325, 50949, 51846, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51169, 51203, 52184, 59149, 51832, 50450, 51325, 51054, 50913, 60201, 51567, 63973, 56474, 62082, 51846, 50838, 51317, 50838, 51317, 50838, 69463, 69463, 77217, 51383, 55065, 62065, 52184, 50388, 52638, 55027, 51550, 53596, 51116, 51246, 51269, 51317, 51269, 51317, 51269, 50970, 51269, 50970, 51269, 51064, 57960, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 50970, 51832, 50970, 51832, 51064, 51832, 52170, 66149, 64080, 51246, 51123, 51317, 51123, 51317, 51123, 50970, 51123, 50970, 51123, 51064, 50368, 51369, 55027, 57079, 50945, 51238, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 50913, 58844, 50913, 56552, 51236, 55027, 57959, 51096, 51294, 73838, 51317, 50810, 51317, 50810, 66805, 66805, 51064, 50379, 52638, 55065, 59037, 72377, 51317, 51079, 51317, 51079, 69162, 69162, 51064, 51079, 51783, 59429, 55027, 59580, 52089, 50388, 52080, 50441, 51246, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51064, 50908, 51986, 56460, 62622, 51246, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51064, 57402, 52085, 65932, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 51722, 54976, 51832, 57762, 51235, 50913, 60201, 51567, 61705, 55027, 62082, 77222, 51317, 50838, 51317, 50838, 69463, 69463, 79298, 51383, 55065, 62065, 52170, 51603, 51383, 55027, 51550, 53870, 51460, 51246, 51269, 51317, 51269, 51317, 51269, 51078, 51269, 51078, 51269, 51064, 51269, 51341, 52149, 50913, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 51078 ]

[ 0, 250, 15352, 30054, 3495, 14123, 14, 7630, 6568, 5, 4780, 9, 1619, 6, 4246, 10, 13305, 483, 7513, 30, 41, 21979, 8669, 6, 31391, 1672, 9590, 6, 38668, 2236, 6, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 9, 12312, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 211, 6, 274, 10431, 119, 6, 272, 401, 6, 3676, 6, 8, 274, 10431, 119, 6, 2351, 10, 32076, 8, 17627, 17274, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 65100, 78922, 51349, 51141, 50847, 52218, 51112, 50417, 50850, 58938, 51232, 65801, 55541, 53305, 68178, 51349, 52446, 51232, 50918, 51153, 50918, 51349, 51077, 50850, 51650, 71493, 50847, 51798, 50868, 51923, 50847, 51650, 50865, 79362, 50807, 51275, 50807, 51910, 51141, 50850, 51650, 76260, 50935, 51631, 51494, 50795, 51275, 58190, 51650, 54725, 51494, 51358, 51275, 51358, 51910, 58778, 53305, 51112, 58711, 63883, 50850, 51626, 55178, 50944, 51650, 67768, 50868, 50795, 54920, 51141, 50944, 51650, 76260, 50847, 51631, 51489, 50983, 53449, 50903, 59273, 51416, 57486, 53305, 50865, 54908, 65501, 71493, 51489, 55787, 51798, 53449, 50903, 51603, 50456, 51275, 50918, 52070, 71365, 50807, 57958, 63524, 76260, 50850, 51631, 74648, 50903, 59273, 51489, 50983, 51684, 52862, 50865, 57080, 65501, 71493, 50944, 52728, 51275, 58785, 61063, 50944, 51650, 50865, 65100, 78922, 51349, 51141, 50847, 52218, 51112, 50417, 50850, 58938, 51232, 65801, 55541, 53305, 68178, 51349, 52446, 51232, 50918, 51153, 50918, 51349, 51077, 50850, 51650, 71493, 50847, 51798, 50868, 51923, 50847, 51650, 50865, 79362, 50807, 51275, 50807, 51910, 51141, 50850, 51650, 76260, 50935, 51631, 51494, 50795, 51275, 58190, 51650, 54725, 51494, 51358, 51275, 51358, 51910, 58778, 53305, 51112, 58711, 63883, 50850, 51626, 55178, 50944, 51650, 67768, 50868, 50795, 54920, 51141, 50944, 51650, 76260, 50847, 51631, 51489, 50983, 53449, 50903, 59273, 51416, 57486, 53305, 50865, 54908, 65501, 71493, 51489, 55787, 51798, 53449, 50903, 51603, 50456, 51275, 50918, 52070, 71365, 50807, 57958, 63524, 76260, 74648, 51768, 59273, 51489, 50983, 51684, 52862, 50865, 57080, 50889, 50944, 53305, 68390, 51275, 60695, 51048, 50903, 61063, 51349, 52862, 50865, 70781, 50918, 51153, 50918, 51684, 51141, 50868, 53305, 68586, 50868, 51626, 54725, 51684, 58580, 53305, 69203, 51494, 50807, 51429, 50807, 51684, 51077, 57403, 60314, 68390, 51494, 50807, 51119, 53312, 50804, 50865, 65100, 50918, 51099, 50918, 51429, 50918, 51416, 63524, 51112, 51768, 59273, 52888, 50873, 51416, 52862, 54930, 58635, 50873, 51280, 50983, 51232, 50983, 51429, 50983, 51137, 65501, 71493, 58635, 54230, 58635, 63878, 51603, 50456, 54992, 50943, 52040, 50918, 51232, 50918, 51119, 50918, 54920, 63524, 76260, 53873, 51218, 51768, 59273, 51416, 52862, 54930, 53873, 50873, 51280, 50918, 51232, 50918, 51099, 50918, 51137, 65501, 71493, 54992, 54230, 58635, 63096, 51603, 50799, 58635, 51518, 51198, 51036, 51099, 51036, 51429, 51036, 51137, 63524, 51112, 51768, 59273, 51137, 52862, 54930, 51181, 65501, 51112, 57403, 51798, 50848, 55023, 51603, 50453, 50868, 51754, 50944, 50795, 50799, 64227, 73201, 61565, 51137, 51141, 50935, 56528, 51650, 76260, 71269, 51429, 50807, 51275, 72523, 50983, 51007, 50983, 51768, 59273, 51275, 50806, 51137, 52862, 54930, 78261, 71269, 51429, 50807, 51349, 57130, 68390, 51494, 50807, 78582, 51275, 50807, 51910, 67638, 51603, 65100, 50918, 51099, 50918, 51153, 50918, 51416, 63524, 68586, 57026, 63878, 59273, 57026, 50873, 51416, 52862, 54930, 57026, 50943, 51232, 50983, 51099, 50983, 51153, 50983, 51137, 65501, 68390, 57026, 63878, 51603, 50456, 59634, 50943, 51099, 50918, 51429, 50918, 51275, 50918, 53053, 63524, 76260, 59634, 50943, 51768, 59273, 58635, 51221, 51198, 50918, 51099, 50918, 51429, 50918, 51137, 52862, 54930, 51181, 65501, 51112, 50441, 54992, 54207, 53873, 50943, 51955, 51603, 50456, 53873, 50873, 50799, 54992, 50873, 51198, 50983, 51494, 50983, 51119, 50983, 51684, 63524, 76260, 54992, 50943, 51768, 59273, 54992, 51127, 51198, 51358, 51494, 51358, 51119, 51358, 51684, 52862, 50865, 54585, 65501, 51112, 51955, 51603, 57958, 63524, 68586, 51494, 50807, 51119, 58785, 59273, 51684, 52862, 54930, 51275, 50918, 52070, 50918, 51349, 57130, 68390, 51684, 67638, 51603, 66301, 50918, 51429, 50918, 51489, 50918, 51684, 63524, 51112, 51768, 59273, 51684, 52862, 54930, 58635, 50873, 51280, 50983, 51232, 50983, 51429, 50983, 51349, 65501, 71493, 58635, 54230, 58635, 63878, 51603, 50456, 54992, 50943, 52040, 51358, 51232, 51358, 51119, 51358, 54920, 63524, 76260, 53873, 51218, 51768, 59273, 51416, 52862, 54930, 53873, 50873, 51280, 50983, 51232, 50983, 51099, 50983, 51137, 65501, 71493, 54992, 54230, 58635, 63096, 51603, 50799, 58635, 51127, 51198, 51036, 51099, 51036, 51429, 51036, 51137, 63524, 51112, 51768, 59273, 51137, 52862, 54930, 51181, 65501, 51112, 51955, 51603, 50456, 52982, 50935, 50795, 69378, 50918, 51137, 51141, 50868, 59192, 51650, 51112, 58082, 50983, 50935, 50983, 51768, 59273, 51137, 52862, 54930, 51429, 50918, 51349, 60798, 53006, 51650, 71493, 51042, 50983, 50847, 58624, 51349, 67638, 51603, 54920, 63524, 68586, 57026, 50873, 51232, 50983, 51099, 50983, 50903, 59273, 57026, 50943, 51416, 52862, 54930, 51137, 65501, 71493, 59634, 51218, 51232, 50983, 51099, 50983, 51955, 51603, 50799, 59634, 51127, 51099, 50918, 51429, 50918, 51275, 50918, 51137, 63524, 51112, 51768, 59273, 51137, 52862, 54930, 58635, 50833, 51198, 50918, 51099, 50918, 51429, 50918, 51181, 65501, 51112, 50441, 54992, 54207, 53873, 50943, 51955, 51603, 50456, 53873, 50873, 50799, 58635, 50873, 51494, 50918, 51429, 50918, 51684, 63524, 76260, 59634, 53890, 58635, 63878, 59273, 61656, 50943, 51684, 52862, 54930, 51232, 50918, 51489, 50918, 51416, 63524, 71493, 59634, 51675, 51955, 51603, 50456, 51416, 50805, 60603, 50983, 51275, 50983, 51910, 63524, 51112, 51768, 59273, 61656, 51218, 51494, 50983, 51119, 50983, 51489, 50983, 51910, 52862, 50865, 54585, 52862, 55700, 51910, 52918, 55178, 59634, 50943, 78582, 51275, 50807, 51684, 52918, 55037, 51374, 52862, 50865, 50799, 58635, 50873, 51198, 50983, 51099, 50983, 51429, 50983, 51137, 51141, 54932, 52862, 78870, 64948, 59634, 50873, 55810, 52201, 54675, 59634, 50873, 55810, 52918, 54725, 59634, 51218, 51099, 50983, 51429, 50983, 51275, 50983, 68795, 55810, 51623, 50801, 54930, 51181, 65501, 50865, 51180, 54554, 59634, 50943, 71269, 51429, 50807, 51275, 52496, 55037, 50801, 50865, 50799, 61656, 50873, 71269, 51429, 50807, 51489, 50807, 51137, 63524, 56202, 59634, 54068, 54675, 59634, 50943, 71269, 51429, 50807, 51275, 52496, 54725, 51137, 52862, 54930, 59634, 50943, 51099, 50918, 51429, 50918, 51275, 50918, 51181, 57130, 50865, 51180, 54554, 58635, 50873, 51137, 52918, 55037, 53873, 50873, 51349, 52862, 50865, 50799, 58635, 50873, 51198, 50983, 51494, 50983, 51429, 50983, 51910, 51141, 54932, 52862, 56202, 59634, 50873, 55810, 52201, 54675, 59634, 50873, 55810, 52918, 54725, 59634, 51218, 51494, 50918, 51429, 50918, 51275, 50918, 51910, 50805, 55810, 51623, 50801, 50865, 55827, 63524, 50865, 51180, 54554, 59634, 53946, 55037, 61656, 51218, 51494, 51358, 51429, 51358, 51489, 51358, 51640, 52862, 50865, 59373, 63524, 50865, 51039, 54675, 59634, 53946, 54725, 58635, 50873, 51910, 52862, 54930, 59634, 50943, 51494, 50807, 51429, 50807, 51275, 50807, 51640, 63524, 50865, 51180, 54554, 58635, 50943, 78261, 51494, 50807, 51429, 52496, 55037, 51640, 52862, 50865, 50799, 54992, 50873, 51280, 50983, 51232, 50983, 51119, 50983, 51416, 57130, 56202, 53873, 54068, 54675, 53873, 50873, 51416, 52918, 54725, 53873, 51127, 51280, 51358, 51232, 51358, 51099, 51358, 51137, 65501, 50865, 51658 ]

[ 0, 250, 765, 6, 3722, 37903, 9, 3495, 930, 4246, 10, 5540, 13305, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 7630, 14805, 10, 2933, 6, 8728, 5466, 20455, 9, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 69827, 62143, 77438, 51442, 50298, 78382, 68036, 68036, 54243, 50906, 77438, 54729, 51176, 51608, 50300, 51608, 50300, 51608, 50300, 62202, 62931, 52297, 50288, 51538, 50444, 51176, 78382, 59428, 59428, 62202, 71734, 51013, 51018, 66650, 62930, 68036, 68036, 68036, 65439, 64919, 52759, 51077, 51360, 51077, 51040, 75427, 75427, 75427, 51077, 51028, 51336, 51018, 69980, 54851, 50965, 54729, 51360, 51608, 50293, 51608, 50293, 51608, 50297, 59428, 55480, 51050, 78382, 78382, 59428, 59428, 62202, 51013, 51018, 60284, 78382, 78382, 59428, 59428, 71734, 64919, 51197, 51608, 50295, 51608, 50295, 51608, 50300, 51077, 50989, 51077, 50876, 51336, 52759, 51538, 50444, 51176, 68036, 68036, 50889, 51018, 69980, 51442, 50300, 68036, 68036, 54243, 50965, 54729, 51197, 51608, 50300, 51608, 50300, 51608, 50300, 68036, 58419, 52297, 50288, 51538, 50444, 51197, 62930, 68036, 68036, 68036, 62202, 51013, 79395, 51197, 62930, 68036, 68036, 68036, 65439, 64919, 51360, 78382, 78382, 51608, 50300, 75427, 51077, 51028, 51336, 51503, 51538, 71289, 59428, 59428, 50889, 51018, 69980, 70101, 59428, 59428, 54243, 50965, 54729, 51050, 51608, 50297, 51608, 50297, 51608, 50297, 71734, 51608, 50324, 52297, 50281, 51538, 50444, 51050, 51608, 50300, 78382, 78382, 62202, 62931, 51013, 79395, 51028, 51442, 50297, 51608, 50300, 78382, 78382, 59428, 54243, 51028, 54729, 51378, 51608, 50298, 51608, 50298, 51608, 50298, 62202, 58835, 52297, 50285, 51538, 50444, 51378, 78382, 68036, 68036, 68036, 58419, 51013, 51018, 62143, 77438, 51442, 50298, 78382, 68036, 68036, 54243, 50906, 77438, 54729, 51176, 51608, 50300, 51608, 50300, 51608, 50300, 62202, 62931, 52297, 50286, 51538, 50444, 51176, 78382, 59428, 59428, 62202, 71734, 51013, 51018, 66650, 62930, 68036, 68036, 68036, 65439, 64919, 51360, 51077, 51040, 75427, 75427, 75427, 51077, 51028, 51336, 51503, 51538, 51018, 69980, 51442, 50324, 52483, 50965, 51442, 50324, 52605, 51360, 51608, 50293, 51608, 50293, 51608, 50297, 59428, 58419, 52297, 50326, 51608, 50281, 63883, 51050, 78382, 78382, 59428, 59428, 62202, 52297, 50324, 50889, 51018, 60284, 78382, 78382, 59428, 59428, 71734, 52297, 50329, 55112, 51197, 51608, 50295, 51608, 50295, 51608, 50300, 51077, 50989, 51077, 50876, 51336, 51062, 51077, 52759, 51538, 50444, 51176, 68036, 68036, 50889, 51018, 69980, 51442, 50324, 50805, 51176, 68036, 68036, 54243, 50965, 51442, 50324, 52605, 51197, 51608, 50300, 51608, 50300, 51608, 50300, 68036, 58419, 52297, 50326, 51608, 50288, 51538, 50444, 51197, 62930, 68036, 68036, 68036, 62202, 52297, 50324, 50889, 79395, 51197, 62930, 68036, 68036, 68036, 65439, 52297, 50331, 55112, 51360, 78382, 78382, 51608, 50300, 75427, 51077, 51028, 51336, 51399, 51077, 51503, 51538, 71289, 59428, 59428, 50889, 51018, 69980, 51442, 50324, 75319, 59428, 59428, 54243, 50965, 51442, 50324, 52605, 51050, 51608, 50297, 51608, 50297, 51608, 50297, 71734, 51608, 50324, 52297, 50336, 51608, 50281, 51538, 50444, 51050, 51608, 50300, 78382, 78382, 62202, 62931, 52297, 50333, 50889, 79395, 51028, 51442, 50329, 69769, 51608, 50300, 78382, 78382, 59428, 54243, 51028, 51442, 50329, 52605, 50632, 51378, 51608, 50298, 51608, 50298, 51608, 50298, 62202, 58835, 52297, 50328, 51608, 50285, 51538, 50444, 51378, 78382, 68036, 68036, 68036, 58419, 52297, 50326, 50889, 51018, 62143, 77438, 51442, 50334, 50805, 51378, 78382, 68036, 68036, 54243, 50906, 77438, 51442, 50334, 52605, 50632, 51176, 51608, 50300, 51608, 50300, 51608, 50300, 62202, 62931, 52297, 50333, 51608, 50286, 51538, 50444, 51176, 78382, 59428, 59428, 62202, 71734, 52297, 50329, 50889, 79395, 50631, 51176, 62930, 68036, 68036, 68036, 65439, 52297, 50331, 55112, 50630, 51360, 51077, 51040, 75427, 75427, 75427, 51077, 51028, 51336, 51399, 51077, 51503, 51538, 51018, 50432, 52759, 51077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 11, 381, 3694, 6, 278, 7, 10, 7212, 204, 73, 306, 20889, 4, 20, 33215, 16739, 9, 1918, 6, 163, 406, 6, 3676, 6, 272, 119, 1176, 406, 6, 8, 1918, 406, 428, 245, 3639, 5581, 7, 5, 15229, 18, 2933, 8, 8728, 223, 34693, 4, 2285, 63, 15549, 38639, 6, 5, 2125, 10200, 7, 35334, 10, 25306, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57530, 51027, 56876, 58835, 66950, 55385, 51086, 52483, 50876, 62530, 57631, 66950, 55112, 50973, 52446, 51050, 57449, 59460, 61471, 55480, 51026, 52596, 51027, 68368, 59460, 58835, 50889, 54868, 59428, 59460, 66154, 51077, 56248, 50805, 51315, 62202, 55112, 50899, 52446, 51027, 51077, 50900, 51077, 50916, 74114, 51077, 56310, 56876, 58835, 66950, 55385, 51086, 52483, 50900, 57631, 58835, 66950, 53912, 68246, 58050, 77438, 55480, 50900, 60424, 56472, 52596, 50899, 59428, 66154, 51608, 50324, 50889, 57346, 68368, 59460, 78599, 51077, 56040, 68036, 66154, 53912, 50916, 51077, 50916, 51077, 50973, 51077, 51147, 51077, 53975, 56472, 60424, 78599, 55385, 51086, 58050, 52483, 51027, 59460, 66950, 51608, 50328, 53912, 50916, 59460, 66950, 51608, 50327, 64712, 51315, 62202, 61471, 55069, 50999, 50805, 56310, 51264, 50916, 51264, 50876, 51264, 50999, 51264, 56310, 56876, 58835, 66950, 55385, 51086, 52483, 50876, 62530, 57631, 66950, 55112, 50973, 52446, 51050, 57449, 59460, 61471, 55480, 51026, 52596, 51027, 68368, 59460, 58835, 50889, 54868, 59428, 59460, 66154, 51077, 56248, 50805, 51315, 62202, 55112, 50899, 52446, 51027, 51077, 50900, 51077, 50916, 74114, 51077, 56310, 56876, 58835, 66950, 55385, 51086, 52483, 50900, 57631, 58835, 66950, 53912, 68246, 58050, 77438, 55480, 50900, 60424, 56472, 52596, 50899, 59428, 66154, 51608, 50324, 50889, 57346, 68368, 59460, 78599, 51077, 56040, 68036, 66154, 53912, 50916, 51077, 50916, 51077, 50973, 51077, 51147, 51077, 53975, 56472, 60424, 78599, 55385, 51086, 58050, 52483, 51027, 59460, 66950, 51608, 50328, 53912, 50916, 59460, 66950, 51608, 50327, 64712, 51315, 62202, 61471, 55069, 50999, 50805, 56310, 51264, 50916, 51264, 50876, 51264, 50999, 51264, 56310, 56472, 56876, 66950, 55385, 51086, 58654, 52483, 50877, 62530, 68368, 66950, 55112, 50965, 52446, 51050, 56876, 57260, 62931, 55480, 51026, 58654, 52596, 51027, 70156, 58835, 66950, 50889, 59130, 59460, 58835, 61471, 51141, 56947, 57631, 66154, 55112, 50876, 52446, 51085, 51077, 50916, 51077, 79721, 50876, 51077, 53975, 55143, 58835, 66950, 55385, 51086, 52483, 51027, 59460, 58835, 51608, 50322, 53912, 51086, 61480, 66154, 65934, 55480, 51027, 52596, 51026, 68368, 66154, 66950, 50889, 59130, 62930, 58835, 78599, 54243, 51026, 60424, 66154, 65934, 55112, 51027, 52446, 50916, 66154, 51141, 51086, 51077, 51114, 51077, 62291, 55069, 50877, 50805, 57551, 51077, 51086, 51077, 50965, 51077, 50968, 61086, 51315, 68555, 51040, 66950, 55480, 51378, 56876, 52596, 51026, 78382, 58419, 66950, 50889, 59130, 57260, 56876, 58050, 55385, 51176, 57449, 58654, 52483, 50876, 72136, 68368, 58835, 55112, 50877, 52446, 51197, 68036, 59460, 66154, 51077, 59758, 50805, 51315, 62202, 55069, 50899, 50805, 58106, 51279, 51264, 51040, 51264, 50916, 51264, 50877, 51264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 8, 3495, 24904, 1619, 2214, 19, 10, 25306, 27456, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 274, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 230, 6, 274, 6, 8, 163, 428, 35315, 1328, 5, 2125, 6, 2351, 10, 2950, 8, 12298, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 66702, 51038, 51057, 53077, 50808, 51234, 77502, 60241, 64924, 64292, 50995, 53089, 50995, 78114, 51096, 55530, 54042, 50901, 50415, 50939, 51253, 50416, 51007, 51400, 50417, 53077, 51203, 51039, 69115, 50872, 58187, 53077, 51255, 51234, 77502, 59782, 63211, 64924, 51003, 51690, 50995, 50939, 50995, 51096, 56951, 54042, 75241, 51007, 51267, 51361, 58952, 53077, 50812, 51057, 53407, 51189, 51279, 51911, 50301, 60241, 60250, 50943, 51304, 51047, 73360, 70389, 51069, 55530, 54042, 50901, 51039, 53172, 51279, 51911, 50301, 59782, 60250, 51003, 73360, 71873, 51069, 56951, 52839, 54777, 53407, 55163, 69587, 61542, 51057, 54414, 50805, 51214, 51911, 50299, 62649, 59783, 63211, 50943, 51811, 50995, 62254, 51443, 55530, 54042, 50901, 50415, 50939, 51056, 50420, 54414, 52808, 69115, 50872, 58187, 53250, 51116, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 51304, 50995, 67103, 52936, 56951, 62852, 67577, 51267, 51361, 58952, 53250, 60831, 73360, 51057, 53077, 51189, 51234, 77502, 60241, 63211, 64924, 50943, 51394, 51047, 50939, 50995, 51096, 55530, 54042, 50901, 74481, 51056, 51039, 69115, 50872, 58187, 51234, 77502, 59782, 63211, 64924, 51003, 50939, 50995, 51096, 56951, 62852, 50427, 51007, 51267, 50432, 53077, 55163, 69587, 62254, 51057, 53863, 51116, 52046, 51911, 50295, 58532, 63211, 77410, 50943, 51394, 51003, 50939, 50995, 51105, 55530, 54042, 50901, 50415, 51298, 51056, 51039, 58861, 53863, 62046, 50847, 58187, 53863, 50805, 52046, 52019, 50295, 58657, 63211, 77410, 51003, 51811, 51003, 50939, 50995, 51105, 56951, 62852, 50427, 51298, 51267, 50432, 53863, 52808, 69587, 73360, 51057, 53863, 50805, 51799, 51911, 50294, 60241, 63211, 79442, 50943, 51690, 51003, 50939, 50995, 50927, 55530, 54042, 50901, 50415, 51257, 51056, 50420, 53407, 52808, 69115, 50872, 58187, 53077, 50805, 51799, 52019, 50294, 59782, 63211, 64924, 51003, 53089, 51003, 50939, 50995, 50927, 56951, 62852, 50427, 51007, 51267, 50432, 54414, 55163, 69587, 73360, 51057, 53250, 50805, 51247, 51911, 50297, 60241, 61817, 60250, 50943, 53506, 51003, 67103, 50945, 55530, 54042, 50901, 60043, 51056, 50420, 53250, 52808, 69115, 50872, 58187, 53077, 51116, 51234, 77502, 59782, 63211, 64924, 51003, 53089, 51003, 50939, 50995, 51096, 56951, 62852, 50427, 51007, 51267, 51361, 58952, 54414, 60831, 73360, 51057, 53250, 51189, 51247, 51911, 50297, 60241, 61817, 60250, 50943, 52487, 51047, 67103, 50945, 55530, 54042, 50901, 60043, 51056, 51039, 69115, 50872, 58187, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 67103, 52936, 56951, 54042, 50845, 67577, 51267, 50432, 53250, 55163, 69587, 73360, 51057, 53077, 50805, 51234, 77502, 60241, 63211, 64924, 50943, 53089, 50995, 50939, 50995, 51096, 55530, 54042, 50901, 74481, 51056, 50420, 53077, 52808, 69115, 50872, 58187, 53077, 51116, 51234, 77502, 59782, 63211, 64924, 51003, 51690, 50995, 50939, 50995, 51096, 56951, 54042, 75241, 51007, 51267, 51361, 58952, 53077, 60831, 73360, 51057, 53407, 51189, 51247, 51911, 50297, 60241, 61817, 60250, 50943, 51304, 51047, 67103, 52936, 55530, 54042, 50901, 60043, 51056, 51039, 69115, 50872, 58187, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 67103, 52936, 56951, 52839, 50901, 67577, 51267, 50432, 53407, 55163, 69587, 69130, 51057, 54414, 51116, 51214, 51911, 50299, 72225, 59783, 63211, 50943, 51811, 50995, 62254, 51443, 55530, 54042, 50901, 50415, 50939, 51056, 51039, 58861, 54414, 62046, 50872, 58187, 53250, 51116, 51247, 52019, 50297, 59782, 61817, 60250, 51003, 51304, 50995, 67103, 52936, 56951, 54042, 50901, 67577, 51267, 51361, 58952, 53250, 60831, 73360, 51057, 53077, 51189, 51234, 77502, 60241, 63211, 64924, 50943, 51394, 51047, 50939, 50995, 51096, 55530, 54042, 50901, 74481, 51056, 51039, 69115, 50872, 58187, 51234, 77502, 59782, 63211, 64924, 51003, 50939, 50995, 51096, 56951, 62852, 50427, 51007, 51267, 50432, 53077, 55163, 69587, 62254, 51057, 53863, 51116, 52046, 51911, 50295, 58532, 63211, 77410, 50943, 51394, 51003, 50939, 50995, 51105, 55530, 54042, 50901, 50415, 51298, 51056, 51039, 58861, 53863, 62046, 50847, 58187, 53863, 51116, 52046, 52019, 50295, 58657, 63211, 77410, 51003, 51811, 51003, 50939, 50995, 51105, 56951, 54042, 75241, 51298, 51267, 51361, 58952, 53863, 60831, 73360, 51057, 53863, 50805, 51799, 51911, 50294, 60241, 63211, 79442, 50943, 51690, 51003, 50939, 50995, 50927, 55530, 54042, 50901, 50415, 51257, 51056, 50420, 53407, 52808, 69115, 50872, 58187, 53077, 50805, 51799, 52019, 50294, 59782, 63211, 64924, 51003, 53089, 51003, 50939, 50995, 50927, 56951, 52839, 50901, 50427, 51007, 51267, 50432, 54414, 55163, 69587, 69130, 51057, 53250, 50805, 51247, 51911, 50297, 72225, 61817, 60250, 50943, 52487, 51003, 67103, 50945, 55530, 54042, 50901, 60043, 51056, 50420, 53250, 52808, 69115, 50979, 58187, 53077, 51116, 51247, 52019, 50297, 65227, 61817, 60250, 51003, 51690, 51003, 67103, 52936, 56951, 52839, 50901, 67577, 51267, 51361, 58952, 53250, 60831, 50848, 51477, 52323, 54414, 51486, 51234, 51939, 50997, 51692, 50899, 51939, 50871, 51939, 50906, 51692, 53089, 51422, 50872, 51939, 51096, 73447, 51115, 51206, 51295, 50416, 50939, 51692, 62382, 53264, 50804, 50866, 54141, 50845, 52323, 53407, 50914, 51721, 50915, 52228, 50915, 55329, 50915, 51186, 50981, 51224, 56015, 55085, 50801, 53172, 53407, 51077, 51721, 51183, 52228, 51183, 55329, 51183, 51638, 51047, 78036, 51690, 51103, 51037, 51277, 51186, 60881, 69238, 60307, 50848, 70351, 50872, 51277, 50856, 56306, 50848, 50972, 51057, 53863, 51116, 51721, 51255, 52608, 51255, 55329, 51255, 51251, 50981, 51165, 50981, 51926, 50914, 66181, 51186, 68798, 56255, 63118, 50848, 61378, 51037, 62241, 58861, 53863, 50812, 51721, 50810, 52608, 50810, 55329, 55582, 50851, 51186, 53450, 53407, 51189, 51721, 51115, 52228, 51115, 55329, 51115, 51165, 51148, 51201, 51148, 51384, 51127, 51037, 50933, 51186, 68432, 59384, 64627, 50848, 56626, 50872, 62241, 58952, 60577, 51057, 50939, 59743, 59384, 71423, 50872, 61378, 53407, 50849, 51721, 50974, 52228, 50974, 55329, 55257, 50933, 51186, 50892, 51321, 58861, 51037, 53220, 53863, 50805, 51721, 50905, 52228, 50905, 55291, 50901, 51088, 50915, 51107, 50915, 51394, 50914, 50988, 50933, 50953, 55944, 79380, 59910, 51037, 56626, 53863, 50849, 51721, 50974, 52228, 50974, 55291, 55257, 50933, 50953, 50892, 51065, 60234, 66850, 51057, 56418, 51116, 51721, 51255, 52491, 51255, 55291, 51255, 51088, 50981, 51266, 50981, 51394, 50914, 70687, 50953, 68798, 68383, 63118, 50847, 61378, 50909, 63320, 62149, 56418, 50812, 51721, 50810, 52491, 50810, 55291, 57424, 50851, 50953, 53450, 54985, 51189, 51643, 51115, 51978, 51115, 54833, 51115, 51154, 51148, 51093, 51148, 51284, 51127, 68059, 50945, 51310, 50801, 79380, 59910, 50872, 56626, 63062, 51065, 60234, 70849, 51057, 51164, 59743, 68383, 63118, 50946, 61378, 54985, 50849, 51643, 50845, 51978, 50845, 54833, 56566, 50933, 50945, 54788, 77542, 58861, 50872, 53220, 56418, 51116, 51633, 51255, 51978, 51255, 55329, 51255, 51154, 51148, 51107, 51148, 51394, 51127, 51037, 50933, 51186, 70306, 59384, 64627, 50848, 56626, 50872, 62241, 58952, 56418, 50812, 51633, 50810, 51978, 50810, 55329, 55582, 50851, 51186, 50844, 51057, 53407, 51116, 51633, 51255, 51978, 51255 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 11, 211, 538, 6, 4246, 10, 4066, 12547, 9, 326, 5638, 18026, 6, 17691, 28430, 6, 22052, 6, 9590, 3863, 6, 8, 2342, 4467, 6, 7630, 14805, 41, 9066, 8, 25306, 5466, 4, 590, 10, 20889, 9, 18461, 13410, 228, 2289, 6, 4760, 12447, 1001, 6, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 30853, 19, 10, 1472, 9, 4149, 8, 9733, 6, 10346, 30, 10, 33215, 16739, 9, 211, 6, 272, 6, 211, 6, 274, 10431, 119, 6, 8, 272, 73, 250, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50416, 51946, 52048, 53339, 52048, 52058, 52048, 51866, 52048, 53084, 52048, 55216, 52048, 50816, 55197, 51224, 52048, 52776, 52048, 51251, 52048, 51088, 52048, 51357, 52048, 50422, 53013, 51000, 51251, 51000, 51107, 77045, 53013, 51000, 51946, 52048, 53339, 52048, 52058, 52048, 51866, 52048, 53084, 52048, 55216, 52048, 50816, 55197, 51224, 52048, 51251, 51000, 51107, 50904, 52776, 52048, 51251, 52048, 51088, 52048, 51357, 52048, 50434, 53013, 51000, 51251, 51000, 51107, 69506, 53157, 51000, 51946, 52048, 53339, 52048, 52058, 52048, 51866, 52048, 53084, 52048, 55216, 52048, 50816, 55197, 51224, 52048, 51154, 51000, 51201, 50904, 52776, 52048, 51251, 52048, 51088, 52048, 51357, 52048, 50442, 54670, 51470, 51301, 51470, 51266, 51174, 50446, 53013, 50984, 51251, 50984, 51107, 50851, 50452, 53157, 51166, 51946, 51000, 53339, 51000, 52058, 51000, 51866, 51000, 53084, 51000, 55216, 66874, 51737, 51224, 51166, 52776, 51000, 51251, 51000, 51088, 51000, 51357, 51000, 51154, 51166, 51201, 50972, 50458, 53013, 50984, 51946, 51166, 53339, 51166, 52058, 51166, 51866, 51166, 53084, 51166, 61053, 66382, 50366, 51901, 51166, 51251, 50984, 51107, 50851, 55528, 51166, 51251, 51166, 51088, 51166, 51357, 51166, 53206, 50982, 56875, 61969, 50816, 60818, 50982, 56703, 74663, 76060, 50416, 54670, 51166, 53780, 52378, 51836, 52378, 52058, 52378, 52698, 52378, 52148, 52378, 56435, 52378, 50816, 60818, 56615, 51224, 52378, 51301, 51166, 51266, 50972, 53215, 52378, 51251, 52378, 51491, 52378, 51093, 52378, 50422, 51886, 51000, 52494, 51000, 51900, 51000, 53013, 50984, 51485, 50904, 51251, 50984, 51107, 50851, 50428, 51886, 51000, 52494, 51000, 51900, 51000, 53780, 52378, 51836, 52378, 51485, 50904, 52058, 52378, 52698, 52378, 52148, 52378, 56435, 52378, 50816, 56615, 51224, 52378, 53215, 52378, 51251, 52378, 51491, 52378, 51093, 52378, 50434, 51886, 51000, 52494, 51000, 51900, 51000, 51485, 69506, 52171, 51000, 52307, 51000, 51802, 51000, 53780, 52188, 51836, 52188, 51509, 50904, 52058, 52188, 52698, 52188, 52148, 52188, 56435, 52188, 50816, 54836, 51224, 52188, 53215, 52188, 51251, 52188, 51491, 52188, 51093, 52188, 50442, 52433, 51470, 52882, 51470, 52285, 51470, 51744, 51174, 50446, 51886, 50984, 52494, 50984, 51900, 50984, 51485, 50851, 50452, 52171, 51166, 52307, 51166, 51802, 51166, 53780, 50941, 51836, 50941, 51509, 50972, 52058, 50941, 52698, 50941, 52148, 50941, 56435, 59461, 51387, 51224, 51079, 53215, 50941, 51251, 50941, 51491, 50941, 51093, 66585, 51886, 50984, 52494, 50984, 51900, 50984, 53780, 51079, 51836, 51079, 51485, 50851, 52058, 51079, 52698, 51079, 52148, 51079, 61053, 77766, 50367, 51901, 51079, 55528, 51079, 51251, 51079, 51491, 51079, 51093, 51079, 53206, 50928, 56875, 59546, 50816, 62653, 50928, 56703, 65843, 75805, 50416, 52433, 51166, 52882, 51166, 52285, 51166, 51946, 51576, 53339, 51576, 51744, 50972, 53175, 51576, 51866, 51576, 53084, 51576, 58524, 51576, 50816, 62653, 54836, 51224, 51576, 54333, 51576, 51088, 51576, 51357, 51576, 51107, 51576, 50422, 51886, 50984, 52494, 50984, 51900, 50984, 53013, 50941, 51485, 50827, 51251, 50941, 51107, 63444, 53013, 50941, 51946, 51576, 53339, 51576, 53175, 51576, 51866, 51576, 53084, 51576, 58524, 51576, 50816, 53957, 51224, 51576, 51251, 50941, 51107, 50864, 54333, 51576, 51088, 51576, 51357, 51576, 51107, 51576, 50434, 53060, 50904, 51088, 50904, 51182, 66116, 55705, 50904, 51946, 51484, 53339, 51484, 53266, 51484, 51866, 51484, 53084, 51484, 55216, 51484, 50816, 53957, 51224, 51484, 51165, 50904, 51394, 50864, 52776, 51484, 51154, 51484, 51357, 51484, 51201, 51484, 50442, 54668, 51174, 51113, 51174, 51284, 51006, 50446, 53060, 50851, 51088, 50851, 51182, 50874, 50452, 55705, 50972, 51946, 50864, 53339, 50864, 53266, 50864, 51866, 50864, 53084, 50864, 55216, 54327, 51166, 51224, 50838, 52776, 50864, 51154, 50864, 51357, 50864, 51201, 50864, 51165, 50972, 51394, 50974, 50458, 53060, 50851, 51946, 50838, 53339, 50838, 53266, 50838, 51866, 50838, 53084, 50838, 55216, 55974, 69415, 50838, 51088, 50851, 51182, 50874, 52776, 50838, 51154, 50838, 51357, 50838, 51201, 50838, 53206, 50891, 56875, 56772, 50816, 56450, 50891, 56703, 64565, 79831, 50416, 54668, 50972, 53064, 51775, 51836, 51775, 51947, 51775, 52384, 51775, 52194, 51775, 53942, 51775, 50816, 56450, 52048, 51224, 51775, 51113, 50972, 51284, 50974, 52143, 51775, 51301, 51775, 51093, 51775, 51266, 51775, 50422, 52367, 50904, 52203, 50904, 51950, 50904, 53060, 50827, 51579, 50886, 74672, 51182, 50874, 50428, 52367, 50904, 52203, 50904, 51950, 50904, 53064, 51775, 51836, 51775, 51579, 50867, 51947, 51775, 52384, 51775, 52194, 51775, 53942, 51775, 50816, 52378, 51224, 51775, 52143, 51775, 51301, 51775, 51093, 51775, 51266, 51775, 50434, 52367, 50904, 52203, 50904, 51950, 50904, 51579, 68273, 53809, 50904, 52849, 50904, 52624, 50904, 52695, 51480, 51836, 51480, 52336, 50867, 51947, 51480, 51968, 51480, 52194, 51480, 53942, 51480, 50816, 52378, 51224, 51480, 52143, 51480, 51426, 51480, 51093, 51480, 51395, 51480, 50442, 53297, 51174, 52614, 51174, 52515, 51174, 52067, 50978, 50446, 52367, 50827, 52203, 50827, 51950, 50827, 51579, 76960, 53809, 50838, 52849, 50838, 52624, 50838, 52695, 50867, 51836, 50867, 52336, 50905, 51947, 50867, 51968, 50867, 52194, 50867, 53942, 55296, 51079, 51224, 50905, 52143, 50867, 51426, 50867, 51093, 50867, 51395, 62309, 52367, 50827, 52203, 50827, 51950, 50827, 52695, 50905, 51836, 50905, 51579, 50844, 51947, 50905, 51968, 50905, 52194, 50905, 53942, 59140, 71191, 50905, 52143, 50905, 79538, 75491, 51395, 50905, 53206, 50863, 56875, 57243, 50816, 54946, 50863, 56703, 57392, 50816, 76965, 53297, 50838, 52614, 50838, 52515, 50838, 52665, 51411, 53339, 51411, 52067, 50892, 52058, 51411, 51866, 51411, 53084, 51411, 54885, 51411, 50816, 54946, 52188, 51224, 51411, 52371, 51411, 51251, 51411, 51357, 51411, 51107, 51411, 50422, 52367, 50827, 52203, 50827, 51950, 50827, 53060, 50867, 51579, 50844, 51088, 50867, 51182, 66765, 53060, 50867, 52665, 51411, 53339, 51411, 52058, 51411, 51866, 51411, 53084, 51411, 54885, 51411, 50816, 52188, 51224, 51411, 51088, 50867, 51182, 50857, 52371, 51411, 51251, 51411, 51357, 51411, 51107, 51411, 50434, 53013, 50867, 51251, 50867, 51107, 67203, 53157, 50867, 51946, 51025, 53339, 51025, 52384, 51025, 51866, 51025, 53084, 51025, 54885, 62390, 51576, 51224, 51025, 51154, 50867, 51201, 50813, 52371, 51025, 51251, 51025, 51088, 51025, 51357, 51025, 50442, 54670, 50978, 51301, 50978, 51266, 69905, 53013, 50844, 51251, 50844, 66337, 50452, 53157, 50892, 51946, 50813, 53339, 50813, 52384, 50813, 51866, 50813, 53084, 50813, 54885, 54494, 50972, 51224, 50845, 52371, 50813, 51251, 69685, 50813, 51357, 50813, 51154, 50892, 51201, 70634, 53013, 50844, 51946, 50845, 53339, 50845, 52384, 50845, 51866, 50845, 53084, 50845, 54885, 56649, 62843, 50845, 51251, 50844, 66337, 52371, 50845, 51251, 50845, 67298, 51357, 50845, 53206, 50825, 56875, 56834, 50816, 54087, 50825, 56703, 55916, 50816, 65533, 54670, 50892, 51946, 51400, 51836, 51400, 52384, 51400, 51866, 51400, 52194, 51400, 56435, 51400, 50816, 54087, 51484, 51224, 51400, 51301, 50892, 51266, 50845, 53215, 51400, 51301, 51400, 51088, 51400 ]

[ 0, 250, 765, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 20183, 4, 20, 38668, 11212, 1974, 10, 2369, 18795, 11, 5, 762, 9, 163, 538, 19, 10, 20889, 9, 5962, 741, 1685, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 1575, 10, 33215, 13931, 9, 230, 10431, 6, 230, 10431, 119, 406, 6, 230, 10431, 119, 6, 2060, 119, 6, 8, 12608, 119, 6, 2351, 10, 3366, 219, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 50440, 50746, 50286, 52122, 50746, 50274, 52122, 50746, 50298, 52122, 50441, 50746, 50286, 52122, 50796, 55746, 61514, 52720, 59060, 52720, 57541, 52829, 65445, 52829, 50796, 50455, 50746, 50289, 51243, 50746, 50277, 51243, 50746, 50289, 65527, 76498, 65527, 50796, 50436, 65445, 62321, 57541, 58651, 64906, 57598, 50796, 50447, 50746, 50293, 52204, 50448, 72669, 55597, 50746, 50281, 52204, 50746, 50293, 55597, 59412, 61514, 55174, 50426, 59060, 55174, 65445, 53233, 50746, 50324, 53849, 50796, 50435, 50746, 50327, 52441, 60516, 52441, 52177, 50746, 50331, 54249, 61514, 54270, 50418, 65050, 54249, 50443, 50746, 50286, 53201, 50746, 50298, 53201, 50746, 50286, 52720, 50746, 50274, 52720, 59060, 54270, 50444, 63452, 52783, 57541, 52783, 76501, 63452, 53142, 57541, 53142, 50746, 50329, 52335, 65445, 52335, 50796, 50440, 50746, 50327, 52829, 50441, 60516, 52829, 50746, 50324, 63712, 60948, 63712, 50796, 50441, 76498, 51314, 50442, 50746, 50289, 51314, 50746, 50289, 51080, 50746, 50277, 51080, 66243, 61514, 51922, 75619, 53486, 72190, 53233, 50433, 59060, 51922, 50746, 50291, 53486, 64906, 53233, 50746, 50279, 52168, 50746, 50291, 52168, 50796, 50443, 61514, 61653, 50444, 59060, 61653, 50746, 50324, 52140, 60948, 52140, 50746, 50286, 52204, 50746, 50274, 52204, 50746, 50286, 52829, 50746, 50298, 52829, 66243, 72190, 51680, 64906, 51680, 50456, 50746, 50324, 51080, 60948, 51080, 50796, 50430, 50746, 50327, 51627, 60516, 51283, 50448, 50746, 50329, 51592, 65445, 51680, 50796, 50430, 50746, 50332, 55482, 50746, 50329, 58643, 63452, 58962, 61514, 55482, 57541, 57820, 65445, 55844, 50796, 50441, 50746, 50289, 53849, 50442, 50746, 50277, 56235, 50746, 50289, 58962, 76498, 56004, 50796, 50433, 57541, 52062, 50434, 59060, 52720, 65445, 51637, 50450, 60516, 52337, 55746, 60948, 54143, 50427, 50746, 50288, 51922, 50746, 50300, 57820, 50746, 50288, 54249, 50746, 50276, 51449, 50796, 50448, 65445, 61653, 50449, 57541, 52335, 76498, 52528, 61514, 54171, 50746, 50289, 53486, 50746, 50289, 52528, 50450, 50746, 50277, 53486, 59060, 54171, 50796, 50453, 72190, 51243, 75619, 53201, 64906, 51243, 50746, 50291, 53201, 61514, 52062, 50746, 50327, 53478, 50746, 50279, 52829, 60516, 53478, 50796, 50796, 50430, 50746, 50324, 52212, 60948, 52212, 61514, 51878, 50431, 60516, 51447, 59060, 51878, 75619, 52829, 51601, 61514, 53142, 50416, 59060, 53142, 65445, 51447, 57541, 52783, 50455, 60516, 51447, 75619, 55174, 51601, 50746, 50327, 52337, 50451, 50746, 50279, 53486, 50796, 50796, 50456, 50746, 50327, 51819, 53069, 50746, 50327, 65330, 50431, 50746, 50327, 53313, 50454, 50746, 50327, 55811, 51809, 50746, 50327, 54146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 32076, 13134, 2214, 19, 10, 2842, 9, 247, 6, 4246, 3459, 8669, 6, 2342, 4467, 6, 2236, 1021, 2678, 29, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 17691, 28430, 6, 70, 567, 561, 7, 1045, 10, 15352, 30054, 8, 20425, 1619, 8859, 59, 657, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 9, 13955, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 57333, 50791, 52589, 55508, 53791, 59991, 54865, 72428, 50791, 52871, 50832, 50821, 52111, 50907, 51544, 54413, 53970, 55508, 50812, 80011, 50858, 51999, 67825, 65875, 50832, 50859, 52224, 50874, 51570, 54301, 53791, 63054, 50808, 66651, 50859, 52260, 50912, 50443, 52068, 50444, 68853, 52283, 51022, 74004, 50821, 51899, 54054, 53970, 64620, 50791, 50854, 52145, 79181, 75287, 50832, 50859, 52215, 61243, 51186, 50858, 50799, 51436, 59156, 52589, 55508, 53791, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 54504, 51186, 55417, 54413, 53970, 55508, 59749, 51436, 51111, 80011, 50858, 51999, 67825, 65875, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 54123, 51186, 51227, 51436, 55744, 54301, 53791, 63054, 50808, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 51262, 50835, 51436, 51582, 53153, 51186, 50858, 51262, 51033, 51543, 51033, 51630, 62851, 54054, 53970, 64620, 50791, 50854, 52145, 79181, 75287, 50945, 50887, 51543, 50933, 51262, 59145, 50859, 52215, 50827, 54516, 50940, 51436, 59156, 52589, 55508, 53791, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 54504, 51186, 55271, 54413, 53970, 55508, 59749, 51436, 51111, 80011, 50858, 51999, 67825, 65875, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 54123, 51186, 51290, 51436, 55744, 54301, 53791, 63054, 50808, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 51262, 50835, 51436, 51582, 53153, 51186, 50858, 51262, 51033, 51543, 51033, 51630, 62851, 54054, 53970, 64620, 50791, 50854, 52145, 79181, 75287, 61206, 51543, 50933, 51262, 59145, 50859, 52215, 50827, 50799, 54414, 51110, 51186, 50893, 51436, 59156, 52589, 54413, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 76785, 54414, 53425, 51186, 53734, 54413, 53970, 55508, 56919, 51436, 51111, 80011, 50858, 51999, 67825, 54812, 51187, 52658, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 67560, 54414, 52781, 51186, 50948, 51436, 55744, 53288, 63054, 50808, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 54812, 50809, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 54414, 50897, 51262, 50835, 51436, 51582, 53153, 51186, 51173, 51262, 51033, 51543, 51033, 51630, 62851, 54413, 53970, 64620, 50791, 50854, 52145, 79181, 54812, 50942, 75287, 51543, 50933, 51262, 59145, 50859, 52215, 61243, 54414, 51124, 54516, 50893, 51436, 62187, 51420, 53288, 59991, 54865, 72428, 50791, 52871, 51543, 50897, 70598, 51630, 53187, 50821, 52111, 50907, 50424, 54414, 54156, 51186, 60257, 54413, 56758, 53393, 62209, 51436, 51111, 80011, 50858, 51999, 67825, 54812, 50836, 65875, 51262, 50952, 51543, 66034, 68484, 51630, 50836, 52224, 67560, 54414, 52841, 51186, 50948, 51436, 55744, 53288, 63054, 50858, 66651, 50859, 52260, 50912, 50442, 51630, 50887, 51543, 50829, 51262, 58780, 54812, 50820, 51436, 50870, 51436, 50840, 51262, 50930, 52068, 50444, 51543, 50890, 51630, 54870, 50810, 52283, 51022, 50448, 51630, 50836, 51543, 50828, 51436, 58560, 54414, 50855, 51262, 50835, 51436, 51582, 53153, 51186, 50893, 51262, 51033, 51543, 51033, 51630, 66036, 53970, 52390, 64620, 50791, 50854, 52145, 50912, 50454, 55062, 51121, 50455, 75287, 51543, 50933, 51262, 59145, 50859, 52215, 61243, 54812, 51112, 51584, 51227, 52354, 50893, 51425, 51233, 51265, 73323, 52189, 53288, 59991, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 53187, 50821, 52111, 76785, 51567, 63447, 53250, 52034, 53077, 50825, 50945, 53734, 54413, 53970, 55182, 65001, 51425, 51212, 51265, 51212, 80011, 50858, 51999, 67825, 65875, 51513, 50952, 51262, 66034, 68484, 70099, 52224, 67560, 52184, 54459, 53777, 50952, 63042, 51425, 50955, 51265, 56879, 53288, 63054, 50810, 66651, 50859, 52260, 50912, 50442, 51355, 50887, 51262, 69007, 58780, 51425, 51004, 51265, 51004, 51425, 50857, 79101, 51513, 50930, 52068, 50444, 53863, 51112, 51262, 50890, 51355, 50886, 52290, 51566, 68853, 52283, 51022, 50448, 70099, 51262, 50828, 51425, 50825, 51265, 57723, 51513, 50835, 51425, 50844, 51265, 53199, 53153, 62228, 51513, 51033, 51262, 51033, 51355, 66036, 53970, 52390, 50821, 79352, 50854, 52145, 79181, 53407, 52392, 75287, 51265, 50933, 51513, 50974, 52037, 51469, 50832, 50859, 52215, 50827, 52354, 50948, 51425, 51233, 51265, 51233, 51802, 55146, 51373, 53288, 59991, 51950, 50890, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 50812, 51802, 56330, 54007, 52173, 52084, 76785, 51900, 53939, 50945, 55271, 54413, 53970, 54015, 65001, 51425, 51212, 51265, 51212, 50428, 52173, 52633, 50858, 51999, 67825, 51900, 51421, 52658, 51513, 50952, 51262, 66034, 68484, 51355, 59890, 51784, 50890, 52224, 67560, 52186, 50887, 53357, 50948, 51425, 50955, 51265, 56879, 53288, 63054, 50808, 50440, 51784, 52633, 50859, 52260, 50912, 50442, 51355, 50887, 51262, 69007, 58780, 51425, 51004, 51265, 51004, 51425, 50857, 79101, 51513, 50930, 52186, 50890, 52068, 50444, 51262, 50890, 51355, 54870, 58638, 52355, 50887, 52283, 51022, 50448, 70099, 51262, 50828, 51425, 50825, 51265, 57723, 51513, 50835, 51425, 50844, 60317, 52278, 52633, 53153, 63042, 51513, 51033, 51262, 51033, 51355, 62851, 53288, 53970, 78862, 52355, 51421, 50854, 52145, 79181, 52278, 51864, 52863, 51265, 50933, 51513, 67484, 67383, 52714, 50809, 52215, 61243, 54812, 51162, 54649, 50823, 52354, 50893, 51425, 51233, 51265, 73323, 51420, 53288, 59991, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 53187, 50821, 52111, 54504, 54812, 50873, 50945, 55271, 54413, 53970, 54015, 66086, 51425, 51212, 51265, 51212, 80011, 50858, 51999, 67825, 65875, 57147, 50854, 51513, 50952, 51262, 66034, 68484, 70099, 52224, 54123, 54812, 50854, 63042, 51425, 50955, 51265, 56879, 53288, 63054, 50859, 66651, 50859, 52260, 50912, 50442, 51355, 50887, 51262, 69007, 58780, 51425, 51004, 51265, 51004, 51425, 50857, 79101, 51513, 50930, 52068, 50444, 57147, 50862, 51262, 50890, 51355, 54870, 50810, 52283, 51022, 50448, 70099, 51262, 50828, 51425, 50825, 51265, 57723, 54812, 50862, 51513, 50835, 51425, 50844, 51265, 53199, 53153, 63042, 51513, 51033, 51262, 51033, 51355, 66036, 53970, 52390, 50858, 79352, 50854, 52145, 79181, 57147, 50924, 75287, 51265, 50933, 51513, 67484, 50859, 52215, 61243, 54812, 51412, 52354, 50948, 51425, 51233, 51265, 62647, 52589, 53657, 59991, 54865, 72428, 50791, 52871, 51262, 50897, 51513, 50854, 51355, 53187, 50821, 52111, 76785, 54812, 52688, 50945, 55271, 55508, 53288, 53970, 60950, 51425, 51212, 51265, 51212, 80011, 50858, 51999, 67825, 57147, 50862, 65875, 51513, 50952, 51262, 66034, 68484, 70099, 52224, 67560, 54812, 50833, 53357, 50948, 51425, 50955, 51265, 56879, 53288, 63054, 50812, 66651, 50859, 52260 ]

[ 0, 250, 19448, 5175, 2214, 19, 10, 15352, 30054, 38668, 2236, 483, 6, 2800, 30, 10, 31391, 1672, 9590, 6, 13305, 40286, 6, 38668, 11212, 6, 8, 21072, 4, 20, 1349, 34, 10, 7212, 20889, 9, 14881, 163, 5683, 6, 16, 11, 5, 762, 9, 230, 10431, 538, 6, 8, 5705, 1575, 5, 33215, 16739, 2060, 6, 230, 10431, 6, 8, 274, 10431, 4, 590, 63, 5679, 26709, 5466, 8, 17878, 9, 10, 1619, 16464, 6, 42, 2125, 115, 2773, 465, 63, 317, 11, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 58932, 67109, 50843, 55799, 50843, 57514, 50843, 50820, 51570, 53239, 51456, 52725, 51326, 53473, 53217, 52190, 50846, 51755, 51135, 52502, 50863, 51640, 51655, 56194, 51353, 52435, 51295, 51773, 51183, 55102, 51243, 56806, 51243, 55566, 51243, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52502, 50863, 51773, 50893, 51180, 53522, 50863, 51944, 50893, 51955, 51139, 53522, 53622, 50846, 52435, 51016, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51727, 52392, 52557, 51692, 51515, 51183, 51773, 51353, 55102, 51243, 53686, 51243, 57198, 51243, 51039, 52532, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52532, 50863, 51515, 50893, 51180, 53522, 50863, 52435, 50893, 51955, 51139, 53522, 53622, 50846, 52557, 51016, 51453, 53522, 50834, 51727, 50879, 51755, 51135, 52502, 50863, 51857, 51364, 52745, 51003, 52027, 53454, 51944, 51295, 54669, 51801, 56806, 51801, 57198, 51801, 51039, 53522, 50863, 51544, 53522, 50834, 52745, 54777, 61305, 50834, 51857, 51013, 51944, 51016, 68435, 52502, 78223, 53522, 50863, 51857, 51013, 51944, 50807, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51857, 50879, 51944, 50807, 51755, 51135, 53522, 50863, 51910, 51655, 51039, 52532, 50863, 52745, 50893, 51544, 53522, 50834, 52435, 50893, 61744, 52605, 51230, 52897, 52502, 50834, 52027, 51016, 65662, 50889, 68435, 52532, 53325, 53026, 50369, 52388, 52502, 50863, 51944, 51343, 70244, 55082, 52219, 51502, 51139, 74556, 52502, 53622, 50846, 51453, 58810, 52300, 50834, 64403, 50889, 51755, 51135, 52502, 50863, 51640, 51655, 56194, 51353, 52435, 51295, 51773, 51183, 55102, 51243, 56806, 51243, 55566, 51243, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52502, 50863, 51773, 50893, 51180, 53522, 50863, 51944, 50893, 51955, 51139, 53522, 53622, 50846, 52435, 51016, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51727, 52392, 52557, 51692, 51515, 51183, 51773, 51353, 55102, 51243, 53686, 51243, 57198, 51243, 51039, 52532, 50863, 51544, 53522, 53063, 61305, 50834, 52435, 50901, 68435, 52532, 50863, 51515, 50893, 51180, 53522, 50863, 52435, 50893, 51955, 51139, 53522, 53622, 50846, 52557, 51016, 51453, 53522, 50834, 51727, 50879, 51755, 51135, 52502, 50863, 51857, 51655, 52745, 51003, 52027, 53454, 51944, 51295, 54669, 51801, 56806, 51801, 57198, 51801, 51039, 53522, 50863, 51544, 53522, 50834, 52745, 54777, 61305, 50834, 51944, 51016, 68435, 52502, 78223, 53522, 50863, 51944, 50807, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51944, 50807, 51755, 51135, 53522, 50863, 51857, 51364, 51039, 52532, 50863, 52745, 55341, 52840, 52207, 53522, 50834, 52435, 55214, 52840, 51192, 51230, 52897, 52502, 50834, 51857, 50879, 52027, 51016, 65662, 53912, 52678, 51158, 52166, 52532, 50863, 51857, 51336, 50444, 53016, 51194, 53026, 50369, 52388, 52502, 50863, 51944, 51343, 70244, 55082, 52219, 51502, 51139, 74556, 52502, 53622, 53173, 53016, 50943, 52352, 50963, 52300, 50834, 64403, 51141, 51755, 51135, 52502, 50863, 51640, 51655, 52557, 51295, 52435, 51295, 50420, 52943, 50933, 68807, 53991, 52678, 51174, 51544, 53522, 53063, 61305, 50834, 52557, 51097, 52435, 51097, 68435, 52502, 78223, 53522, 50863, 52557, 51477, 52435, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51857, 51933, 52745, 51353, 52027, 51295, 51944, 51295, 51039, 52532, 52917, 52527, 51173, 68807, 53063, 52678, 51294, 61305, 50834, 52027, 51097, 51944, 51097, 68435, 52532, 53325, 53016, 51003, 68807, 50863, 52027, 51477, 51944, 51477, 51955, 51139, 53522, 53622, 50846, 51640, 55416, 52943, 50943, 68807, 50834, 68906, 51755, 51135, 52502, 50863, 51602, 52392, 52745, 51295, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52745, 51097, 52027, 51097, 68435, 52502, 78223, 53522, 50863, 52027, 51477, 51944, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51602, 50879, 51755, 51135, 53522, 50863, 52458, 51933, 54632, 51295, 52435, 51183, 51515, 51692, 51039, 52532, 52917, 51850, 51421, 53522, 53063, 51850, 50840, 61305, 50834, 54632, 56298, 51850, 53345, 51135, 52532, 50863, 52435, 61112, 51850, 52217, 53522, 52805, 51850, 56880, 51139, 53522, 53622, 50846, 51957, 51013, 51515, 62214, 51850, 51191, 52352, 50963, 52300, 50834, 51755, 51135, 52502, 50863, 51640, 51933, 52557, 51790, 52435, 51790, 51944, 51295, 50420, 52678, 51204, 68807, 50863, 51544, 53522, 53063, 61305, 50834, 51944, 51097, 51773, 51097, 68435, 52502, 78223, 53522, 50863, 52557, 50974, 52435, 50974, 51955, 51139, 53522, 53622, 50846, 51957, 51013, 52557, 51097, 51944, 51097, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51857, 51655, 52745, 51295, 52027, 51790, 50420, 52527, 50840, 61305, 52917, 52527, 50943, 68807, 53063, 61305, 50834, 52745, 57937, 52678, 51111, 52166, 52532, 53325, 53016, 50943, 68807, 50863, 52027, 50974, 51955, 51139, 53522, 53622, 50846, 52027, 51097, 51944, 62214, 52943, 51391, 68807, 50834, 51755, 51135, 52502, 50863, 51602, 52392, 52745, 51353, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 52027, 51097, 51944, 51097, 68435, 52502, 78223, 53522, 50863, 52027, 51477, 51944, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 52458, 50879, 51755, 51135, 53522, 50863, 52458, 51364, 54632, 51353, 52435, 51790, 51515, 51790, 51039, 52532, 50863, 51544, 53522, 53063, 51850, 50936, 61305, 50834, 52458, 50879, 68435, 52532, 50863, 51957, 51336, 50444, 51850, 51421, 53522, 50863, 52435, 51477, 51515, 51477, 50450, 51850, 56880, 51139, 53522, 53622, 53173, 51850, 50807, 52352, 50963, 52300, 50834, 51755, 51135, 52502, 50863, 51533, 51655, 52557, 51353, 52027, 51295, 51944, 51295, 50420, 52678, 51218, 68807, 50863, 51544, 53522, 53063, 61305, 50834, 52027, 51097, 51944, 51097, 68435, 52502, 78223, 53522, 50863, 51944, 51477, 51773, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51857, 51364, 52745, 51353, 52027, 51295, 51039, 52532, 52917, 52527, 51060, 68807, 53063, 52678, 50938, 61305, 50834, 51857, 50879, 52027, 52015, 51944, 52015, 68435, 52532, 50863, 51857, 51336, 50444, 52678, 51111, 68807, 52805, 53016, 51194, 65862, 53522, 53622, 53173, 52943, 51077, 68807, 50834, 51755, 51135, 52502, 50863, 51957, 51364, 52435, 52122, 51515, 52122, 51929, 52122, 51039, 53522, 50863, 51544, 53522, 53063, 61305, 50834, 51957, 50879, 53369, 51097, 54632, 51097, 68435, 52502, 50863, 51957, 51336, 51180, 53522, 50863, 53369, 51477, 54632, 51477, 51955, 51139, 53522, 53622, 50846, 51453, 53522, 50834, 51755, 51135, 53522, 50863, 51957, 51364, 53369, 51477, 54632, 51477, 51039, 52532, 52917, 51850, 52217, 53522, 53063, 51850, 50840, 61305, 50834, 51957, 50879, 53369, 51097, 54632, 57937, 51850, 53243, 51135, 52532, 50863, 51957, 62682, 51850, 50924, 68807, 50863, 53369, 51477, 54632, 51477, 51955, 51139, 53522, 53622, 50846, 51957, 55416, 51850, 50889, 52352, 50963, 52300, 50834, 74898, 51755, 51135, 52502, 50863, 51533, 51364, 52027, 51295, 51944, 51353, 51773, 74905, 52678, 51419, 68807, 50863, 51544, 53522, 53063, 61305, 50834, 51533, 50879, 56194, 51097, 52027, 51097, 68435, 52502, 50863, 51533, 51013, 51180, 53522 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 21072, 6, 38668, 11212, 6, 8, 5730, 2342, 4467, 6, 2351, 10, 2933, 8, 980, 219, 5466, 14, 18, 67, 19448, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 9, 6121, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 163, 428, 6, 12608, 6, 230, 119, 6, 274, 119, 6, 8, 230, 119, 8165, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 57451, 55783, 50873, 54324, 55214, 54142, 50873, 54942, 54993, 55783, 50873, 54324, 56209, 53775, 50873, 52756, 55260, 53807, 50873, 52817, 55764, 56817, 50873, 54467, 50893, 50799, 54876, 51314, 52746, 51127, 51105, 51204, 53527, 51356, 59405, 55215, 52245, 52981, 52402, 50812, 51561, 50943, 51395, 55328, 52755, 53868, 51743, 50812, 51201, 55328, 52905, 51615, 50812, 73905, 51308, 50943, 51182, 63390, 53237, 52139, 55816, 52245, 55001, 51743, 50812, 51201, 54154, 51615, 50812, 51561, 50873, 51182, 50858, 51096, 53406, 54782, 52245, 54248, 52255, 50812, 51629, 54362, 51863, 51103, 52746, 51127, 51394, 51356, 51105, 51346, 59867, 54782, 52245, 52878, 54876, 50972, 51561, 50943, 53527, 62417, 55202, 52245, 52772, 56817, 50972, 73905, 51308, 50943, 51105, 51346, 54467, 56702, 54831, 53237, 52139, 55202, 52245, 53137, 54876, 50972, 51561, 50873, 53527, 62417, 52755, 50835, 50799, 55199, 50972, 52255, 51103, 52477, 51127, 51325, 51204, 53918, 56702, 51663, 54782, 52245, 52981, 60245, 50972, 51512, 50943, 57797, 62417, 52755, 53868, 50856, 52905, 55199, 50972, 51153, 50943, 51639, 50943, 53918, 67664, 53237, 52139, 55816, 52245, 52818, 54876, 50972, 51512, 50873, 51105, 50840, 53527, 62417, 54782, 52245, 52621, 56817, 50972, 51615, 51103, 52477, 51127, 51325, 51346, 54467, 56702, 51663, 54782, 52245, 52878, 54876, 50972, 51512, 50943, 53527, 62417, 55202, 52245, 52772, 56817, 50972, 51153, 50943, 51639, 50943, 51325, 51346, 54467, 56702, 54831, 53237, 52139, 55202, 52245, 53137, 53807, 50972, 51512, 50873, 52817, 62417, 52755, 50835, 50799, 53775, 51314, 51743, 50849, 51876, 51127, 50945, 51204, 52756, 51356, 59867, 54782, 52245, 52981, 51711, 50812, 51144, 50943, 51304, 55328, 52755, 53868, 51863, 50812, 51394, 55328, 52905, 52255, 50812, 51512, 50943, 51153, 50943, 51629, 63390, 53237, 52139, 55816, 52245, 55001, 51863, 50812, 51394, 54154, 52255, 50812, 74043, 51629, 50858, 50964, 53406, 54782, 52245, 54248, 51615, 50812, 51182, 54362, 51743, 51103, 51876, 51127, 51201, 51356, 50945, 51346, 59867, 54782, 52245, 52878, 54876, 51174, 51144, 50943, 53527, 66435, 55202, 52245, 52772, 54876, 51174, 51512, 50943, 51153, 50943, 50945, 51346, 53527, 60777, 54831, 53237, 52139, 55202, 52245, 53137, 54876, 51174, 74043, 53527, 66435, 52755, 50835, 50799, 54876, 50972, 51863, 51103, 51706, 51127, 51186, 51204, 53527, 56702, 51663, 54782, 52245, 52981, 55199, 50972, 51144, 50943, 53918, 62417, 52755, 53868, 50856, 52905, 56817, 50972, 51308, 50943, 51777, 50943, 54467, 67664, 53237, 52139, 55816, 52245, 52818, 54876, 50972, 74043, 51096, 50840, 53527, 62417, 54782, 52245, 52621, 55199, 50972, 51711, 51103, 51964, 51127, 50964, 51346, 53918, 56702, 51663, 54782, 52245, 52878, 54876, 50972, 73905, 53527, 62417, 55202, 52245, 52772, 56817, 50972, 51153, 50943, 51639, 50943, 50964, 51346, 54467, 56702, 54831, 53237, 52139, 55202, 52245, 53137, 53807, 50972, 72931, 52817, 62417, 52755, 50835, 50799, 53775, 51679, 51743, 51103, 51876, 51127, 50945, 51204, 52756, 51362, 59867, 54782, 52245, 52981, 51144, 64835, 52755, 53868, 50856, 52905, 51512, 50943, 51153, 63096, 53237, 52139, 55816, 52245, 52818, 55783, 50972, 74043, 50945, 50840, 54324, 62417, 54782, 52245, 52621, 55862, 50972, 53100, 51103, 53646, 51127, 51228, 51346, 55667, 56702, 51663, 54782, 52245, 52878, 55783, 50972, 51847, 50943, 54324, 62417, 55202, 52245, 52772, 56817, 51108, 51144, 50943, 51512, 50943, 51228, 51346, 54467, 61986, 54831, 53237, 52139, 55202, 52245, 53137, 51847, 60095, 52755, 50835, 50799, 52133, 51307, 52477, 51127, 51325, 51204, 59867, 54782, 52245, 52981, 51561, 64835, 52755, 53868, 50856, 52905, 56817, 51108, 51512, 50943, 51153, 50943, 54467, 51016, 50903, 53237, 52139, 55816, 52245, 52818, 51561, 50873, 51105, 53406, 54782, 52245, 52621, 53775, 50972, 52477, 51127, 51325, 51346, 52756, 56702, 51663, 54782, 52245, 52878, 55783, 50972, 51561, 50943, 54324, 62417, 55202, 52245, 52772, 55862, 51108, 51512, 50943, 51153, 50943, 51325, 51346, 55667, 61986, 54831, 53237, 52139, 55202, 52245, 53137, 51561, 60095, 52755, 50835, 50799, 55783, 51449, 52746, 51127, 51105, 51204, 54324, 51696, 59867, 54782, 52245, 52981, 51561, 64835, 52755, 53868, 50856, 52905, 73905, 51308, 63096, 53237, 52139, 55816, 52245, 52818, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 50890, 51105, 53406, 54782, 52245, 52621, 51743, 50836, 51435, 50937, 52709, 50937, 51201, 50890, 51186, 51346, 59867, 54782, 52245, 52878, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 57259, 55202, 52245, 52772, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 50890, 51186, 51346, 50801, 54831, 53237, 52139, 55202, 52245, 53137, 52402, 50836, 51639, 50937, 53629, 50937, 51395, 57259, 52755, 50835, 50799, 52402, 50836, 52746, 50937, 51639, 50937, 53629, 50937, 51395, 50890, 51105, 58546, 51663, 54782, 52245, 52905, 54254, 55214, 53267, 54993, 54254, 56209, 53000, 55260, 53039, 55764, 54740, 50893, 50799, 53807, 51108, 52746, 51127, 51105, 51204, 54428, 51356, 59405, 55215, 52245, 52981, 52402, 50812, 51561, 50943, 51395, 50858, 56836, 53868, 51743, 50812, 51201, 50858, 57451, 54876, 51108, 51615, 50812, 73905, 51308, 50943, 51182, 63390, 76903, 55816, 52245, 55001, 51743, 50812, 51201, 54154, 51615, 50812, 51561, 50873, 51182, 50858, 51096, 50840, 69659, 52245, 54248, 52255, 50812, 51629, 54362, 60245, 51108, 51863, 51103, 52746, 51127, 51394, 51356, 51105, 51346, 51479, 54966, 52245, 52878, 51561, 50943, 54428, 50893, 60210, 52245, 52772, 58358, 51108, 73905, 51308, 50943, 51105, 51346, 54740, 56702, 54831, 76903, 55202, 52245, 53137, 51561, 50873, 54428, 50893, 56836, 50835, 50799, 55199, 51314, 52255, 51103, 52477, 51127, 51325, 51204, 53647, 50893, 51479, 54966, 52245, 52981, 51512, 50943, 58143, 50893, 56836, 50835, 51510, 52670, 51153, 50943, 51639, 50943, 53647, 50893, 57653, 51877, 55816, 52245, 52818, 51512, 50873, 51105, 50840, 54428, 50893, 69659, 52245, 52621, 56817, 51314, 51615, 51103, 52477, 51127, 51325, 51346, 54740, 50893, 51479, 54966, 52245, 52878, 51512, 50943, 54428, 50893, 60210, 52245, 52772, 51153, 50943, 51639, 50943, 51325, 51346, 54740, 56702, 54831, 76903, 55202, 52245, 53137, 51512, 50873, 53039, 50893, 56836, 50835, 50799, 53775, 51449, 51743, 50849, 51876, 51127, 50945, 51204, 53000, 51356, 51479, 54966, 52245, 52981, 51711, 50812, 51144, 50943, 51304, 50858, 56836, 53868, 51863, 50812, 78486, 57451, 52255, 50812, 51512, 50943, 51153, 50943, 51629, 63390, 76903, 55816, 52245, 55001, 51863, 50812, 51394, 54154, 52255, 50812, 74043, 51629, 50858, 50964, 50840, 69659, 52245, 54248, 51615, 50812, 51182, 54362, 51743, 51103, 51876, 51127, 51201, 51356, 50945, 51346, 51479, 54966, 52245, 52878, 51144, 50943, 54428, 50893, 60210, 52245, 52772, 51512, 50943, 51153, 50943, 50945, 51346, 54428, 56702, 54831, 76903, 55202, 52245, 53137, 74043, 54428, 56285, 52245, 50835, 50799, 54876, 51314, 51863, 51103, 51706, 51127, 51186, 51204, 54428, 50893, 51479, 54966, 52245, 52981, 51144, 50943, 53647, 50893, 56836, 50835, 51510, 52670, 51308, 50943, 51777, 50943, 54740, 50893, 57653, 51877, 55816, 52245, 52818, 74043, 51096, 50840, 54428, 50893, 69659, 52245, 52621, 55199, 51314, 51711, 51103 ]

[ 0, 4688, 9066, 8, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 3459, 9590, 6, 81, 9756, 8669, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 33558, 8, 17627, 17274, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 2635, 20889, 9, 6121, 13410, 228, 2289, 6, 5, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 59649, 51661, 51280, 51364, 51144, 51653, 50945, 51226, 51743, 51363, 52133, 52136, 54720, 51878, 51743, 54373, 52036, 53201, 50423, 51099, 50802, 51615, 64627, 51119, 50975, 51656, 71992, 50945, 55135, 50964, 54292, 51708, 51291, 52176, 51285, 51144, 50993, 50927, 51196, 51743, 51203, 55430, 51627, 53389, 52598, 50447, 51099, 50802, 51615, 66941, 51119, 50975, 51656, 51178, 65237, 51291, 51144, 51653, 51964, 51661, 50964, 51196, 51743, 51363, 53817, 52598, 55793, 52263, 50423, 51099, 51012, 51615, 65005, 51119, 50975, 51656, 51194, 50437, 51876, 51343, 54720, 51965, 50438, 53038, 51343, 51308, 50975, 51096, 51196, 51863, 51194, 58366, 51965, 50447, 51119, 51012, 51656, 65371, 76989, 51615, 51178, 50461, 51280, 51472, 52133, 52263, 59649, 51661, 51144, 50993, 50945, 51541, 51743, 51255, 54720, 52263, 51497, 51527, 50423, 51099, 50802, 51615, 53172, 51497, 51314, 50429, 51119, 50975, 51656, 77066, 50945, 55135, 50964, 54292, 51708, 52195, 51144, 50993, 52176, 51661, 50927, 51285, 51743, 51255, 53389, 51627, 55430, 51878, 51593, 51527, 50447, 51099, 50802, 51615, 55125, 51593, 51314, 50454, 51119, 50975, 51656, 51178, 62673, 50993, 51869, 51472, 51964, 51661, 50964, 51226, 51743, 51255, 55793, 52263, 53817, 52598, 51839, 69321, 51099, 50860, 51615, 50937, 51323, 72104, 51839, 52034, 50429, 51069, 51167, 50430, 51119, 50976, 51656, 67772, 51497, 55246, 51323, 52460, 50438, 51876, 51696, 53038, 52208, 51308, 51184, 51096, 51469, 54720, 51449, 51863, 51293, 58366, 51313, 51188, 51655, 50444, 51497, 56989, 51188, 52727, 61627, 51876, 51291, 51280, 50967, 51144, 51379, 51119, 51215, 50945, 51196, 52133, 52482, 51743, 51309, 51656, 52059, 54720, 52598, 50450, 53789, 51055, 50451, 51280, 50967, 51144, 51379, 51119, 51379, 52133, 52059, 51743, 51309, 51656, 51423, 62404, 51189, 50927, 51285, 55430, 53577, 53789, 68061, 51280, 51215, 51198, 51215, 51144, 51215, 51119, 51286, 51656, 51328, 52133, 52059, 51881, 51797, 51743, 52059, 50417, 54607, 54878, 53138, 53467, 53138, 50948, 50427, 51280, 51110, 51198, 51095, 51144, 51167, 51119, 51354, 52133, 53161, 51881, 53161, 51743, 51309, 51656, 51423, 50429, 54607, 52810, 53138, 55782, 53138, 54930, 51964, 51036, 51280, 51354, 51232, 51379, 51099, 51354, 50964, 51226, 52133, 51423, 52033, 51423, 51615, 51423, 55793, 51748, 50441, 53014, 54247, 53014, 51413, 50450, 51280, 51111, 51232, 51286, 51099, 51173, 52133, 52063, 52033, 51277, 51615, 51753, 50456, 65648, 60603, 51173, 51232, 51388, 51099, 51286, 50964, 51343, 52133, 51753, 52033, 51328, 51615, 64570, 51232, 51030, 51280, 78112, 50911, 52133, 50907, 52033, 51058, 51615, 55544, 51198, 50950, 51881, 50844, 54239, 67980, 50927, 56486, 51144, 74564, 50880, 51743, 50971, 53392, 53574, 51869, 52195, 51099, 51388, 51198, 51192, 51308, 51505, 50953, 51196, 51881, 51277, 51615, 51242, 51863, 51212, 53817, 51627, 53014, 60224, 53014, 58181, 53014, 67876, 51198, 51354, 51099, 51354, 51308, 51483, 51881, 51423, 51615, 51337, 51863, 51337, 50456, 53138, 57661, 54239, 51091, 62404, 50983, 51198, 51175, 51144, 51286, 51119, 51388, 50927, 51196, 51743, 51277, 51656, 51328, 51881, 51642, 55430, 52136, 50426, 51119, 51388, 51198, 51192, 51144, 50911, 51743, 50838, 51881, 51481, 51656, 75925, 54239, 55782, 53392, 53574, 51099, 51175, 51706, 50967, 52746, 51141, 51561, 51286, 51144, 51388, 51105, 51362, 52402, 51277, 51743, 51328, 53181, 52059, 51615, 51642, 57166, 52519, 53014, 61897, 53014, 53401, 53014, 67876, 51706, 51215, 53181, 52059, 50451, 51144, 51286, 51099, 51158, 51561, 51173, 52402, 51753, 51743, 51328, 51615, 51884, 50456, 63046, 53138, 57661, 53014, 51356, 58637, 51364, 51144, 51286, 51099, 51286, 51280, 51192, 50964, 51196, 52133, 51277, 51743, 51328, 51615, 51277, 55793, 51965, 50426, 51280, 51048, 51099, 51290, 52133, 52056, 51615, 51709, 50427, 51144, 51603, 51743, 51775, 50432, 51153, 50860, 51711, 54014, 51876, 51291, 51280, 50967, 51144, 51379, 51119, 51215, 50945, 51274, 52133, 52482, 51743, 51309, 51656, 52059, 54720, 52598, 51743, 51445, 50450, 53789, 51055, 50451, 51280, 50967, 51144, 51379, 51119, 51379, 52133, 52059, 51743, 51309, 51656, 51423, 50457, 50945, 56046, 50964, 50890, 62404, 51189, 50927, 51661, 55430, 53577, 53789, 64521, 51280, 51215, 51198, 51215, 51144, 51215, 51119, 51286, 51656, 51328, 52133, 52059, 51881, 51797, 51743, 52059, 50417, 54607, 54402, 53138, 54104, 53138, 50924, 50427, 51280, 51110, 51198, 51095, 51144, 51167, 51119, 51354, 52133, 53161, 51881, 53161, 51743, 51309, 51656, 51423, 50429, 54607, 52810, 53138, 54002, 53138, 57581, 51964, 51036, 51280, 51354, 51232, 51379, 51099, 51354, 50964, 51362, 52133, 51423, 52033, 51423, 51615, 51423, 55793, 51748, 50439, 51615, 52335, 50441, 53014, 54840, 53014, 51623, 50450, 51280, 51111, 51232, 51286, 51099, 51173, 52133, 52063, 52033, 51277, 51615, 51753, 50456, 65648, 60603, 51173, 51232, 51388, 51099, 51286, 50964, 50980, 52133, 51753, 52033, 51328, 51615, 64570, 51232, 51030, 51280, 78112, 50911, 75990, 52133, 50907, 52033, 51058, 51615, 71714, 50927, 54334, 51198, 50950, 63063, 51881, 50844, 51656, 50974, 54239, 59046, 51144, 50809, 51743, 50971, 53392, 53894, 51869, 52195, 51099, 51388, 51198, 51192, 51308, 51505, 50953, 51356, 51881, 51277, 51615, 51242, 51863, 51212, 53817, 51627, 53014, 50921, 50439, 51863, 63323, 53014, 55354, 53014, 66070, 51198, 51354, 51099, 51354, 51308, 51483, 51881, 51423, 51615, 51337, 51863, 51337, 50456, 53392, 57326, 53392, 51218, 62404, 50983, 51198, 51175, 51144, 51286, 51119, 51388, 50927, 51226, 51743, 51277, 51656, 51328, 51881, 51642, 55430, 52136, 50415, 51656, 62666, 51119, 51388, 51198, 51192, 51144, 50911, 51743, 50838, 51881, 51481, 51656, 75925, 53138, 75405, 50927, 54362, 52746, 51141, 51561, 50967, 51144, 51354, 51099, 50883, 51308, 51167, 51099, 51388, 51105, 51356, 51615, 50825, 51615, 51242, 52402, 52059, 51743, 51337, 51863, 51309, 57166, 52519, 51615, 51801, 53138, 62619, 53014, 57012, 53014, 66563, 51561, 51215, 51144, 51379, 51308, 51379, 51099, 51379, 52402, 51797, 51743, 51309, 51615, 51309, 51863, 51423, 62404, 51364, 51198, 51192, 50927, 51343, 51881, 51481, 55430, 52136, 50415, 51144, 50923, 51308, 50923, 51743, 50905, 51863, 56307, 51198, 51379, 51308, 51354, 51144, 51505, 51743, 51212, 51881, 51309, 51863, 75359, 64483, 54239, 56788, 53392, 55395, 51964, 50983, 51280, 51286, 51099, 51505, 51144, 51012, 50964, 51196, 51743, 50905, 52133, 51277, 51615, 51242, 55793, 52136, 52137, 52151, 53014, 59779, 53014, 75250, 53014, 55149, 51280, 50911, 51144, 50923, 51099, 51012, 52133, 50974, 51743, 50905, 51615, 67763, 53138, 57297, 53014, 51000, 50455, 53392, 67383, 53014, 50893, 60603, 51356, 51964, 51336, 51232, 51527, 51099, 51527, 51133, 51496, 55793, 51490, 52133, 51447, 52033, 51148, 51615, 51244, 50417, 53138, 50820, 53014, 51004, 50418, 53392, 66356, 53014, 56389, 53038, 51653, 51706, 51653, 51144, 50993, 51198, 51483, 58366, 52188, 51863, 51775, 55430, 52056, 54720, 51806, 52735, 51253, 53392, 50930, 52551, 51157, 51498, 51157, 52705, 51564, 64430, 59901, 51096, 51500, 50441, 53392, 53885, 53392, 56312, 53014, 61208, 51964, 51483, 51280, 50975, 73012, 76989, 50964, 51427, 51767, 50889, 71163, 69063 ]

[ 0, 713, 5175, 2214, 6, 278, 11, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 6670, 10, 19448, 648, 2933, 5466, 4, 20, 3459, 8669, 3315, 5, 33301, 6, 7513, 30, 10, 18558, 6, 21677, 32909, 6, 20535, 2810, 6, 8, 326, 5638, 18026, 4, 20, 20889, 16, 12447, 1001, 6, 8, 5, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 381, 406, 6, 83, 406, 6, 381, 406, 6, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50799, 54744, 53002, 54445, 52024, 50801, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 50446, 51068, 52116, 50801, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 57268, 52651, 51520, 56327, 50803, 50799, 54744, 53002, 54570, 53002, 52456, 53002, 51813, 53002, 51855, 53002, 50801, 57759, 51345, 51289, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 60487, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51755, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 62578, 67043, 51345, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 51658, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 50446, 51068, 52116, 50801, 69057, 51215, 55655, 50879, 52733, 50879, 51664, 50879, 51917, 50879, 51366, 50879, 51229, 50879, 54084, 51345, 51216, 51345, 57268, 52651, 51520, 56327, 50803, 50799, 53169, 53002, 52517, 53002, 52708, 53002, 51855, 53002, 51882, 53002, 52086, 53002, 51251, 55198, 51491, 55198, 50801, 57759, 51345, 51289, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51658, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 60487, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51755, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 50438, 51301, 51009, 51088, 60288, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 60487, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 67378, 53002, 51491, 53002, 50801, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51658, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 60487, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51755, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 62578, 67043, 51345, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 51658, 69057, 51215, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 50446, 51068, 52116, 50801, 69057, 51215, 52468, 50879, 51664, 50879, 51451, 50879, 51322, 50879, 51547, 50879, 51229, 50879, 51334, 50879, 52505, 51345, 51389, 51345, 57268, 52651, 51520, 56327, 50803, 50799, 54744, 53002, 54570, 53002, 52456, 53002, 51813, 53002, 51855 ]

[ 0, 250, 15352, 30054, 5175, 25771, 2214, 4246, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 2342, 4467, 6, 21979, 9590, 6, 8, 21072, 6, 2351, 10, 3366, 219, 8, 19448, 5466, 4, 590, 10, 1769, 20889, 9, 8325, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 274, 10431, 538, 8, 24536, 10, 33215, 16739, 9, 230, 10431, 6, 163, 43531, 6, 2060, 6, 230, 119, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 51606, 50918, 70051, 79432, 53118, 50800, 51140, 67492, 52152, 55728, 54757, 51835, 70051, 79432, 52566, 51730, 52732, 52296, 53000, 52154, 51620, 53118, 52154, 52765, 54757, 52154, 51628, 70051, 79432, 52566, 52154, 52262, 53000, 52154, 51724, 51565, 50807, 70051, 79432, 53118, 52154, 54789, 54757, 51820, 70051, 79432, 52566, 52154, 52513, 53000, 52154, 51757, 52251, 50807, 53118, 52227, 55000, 54757, 51754, 70051, 79432, 52566, 52154, 52567, 53000, 56392, 78939, 51161, 70051, 79432, 53118, 51730, 52152, 55728, 54757, 51835, 70051, 79432, 52566, 51730, 52732, 52296, 53000, 52154, 51620, 53118, 52154, 52765, 54757, 52154, 51628, 70051, 79432, 52566, 52154, 52262, 53000, 52154, 51724, 70051, 79432, 53118, 52390, 54982, 54789, 54757, 51820, 70051, 79432, 52566, 52154, 52513, 53000, 52154, 51757, 51886, 50807, 53118, 52227, 55000, 54757, 51754, 70051, 79432, 52566, 52154, 52567, 53000, 56392, 50799, 52604, 51036, 57692, 72224, 55052, 50800, 51705, 67492, 52152, 55728, 53267, 51835, 57692, 72224, 54361, 51730, 52732, 52296, 54895, 52154, 51620, 55052, 52154, 52765, 53267, 52154, 51628, 57692, 72224, 54361, 52154, 52262, 54895, 52154, 51724, 57692, 72224, 55052, 52154, 54789, 53267, 51820, 57692, 72224, 54361, 52154, 52513, 54895, 52154, 51757, 55052, 52227, 55000, 53267, 51754, 57692, 72224, 54361, 52154, 52567, 54895, 56392, 74291, 50918, 57692, 72224, 55052, 51730, 52152, 55728, 53267, 51835, 57692, 72224, 54361, 51730, 52732, 52296, 54895, 52154, 51620, 55052, 52154, 52765, 53267, 52154, 51628, 57692, 72224, 54361, 52154, 52262, 54895, 52154, 51724, 52083, 50918, 57692, 72224, 55052, 51907, 66739, 54789, 53267, 51820, 57692, 72224, 54361, 52154, 52513, 54895, 51907, 51412, 50843, 51757, 55052, 52227, 55000, 53267, 51754, 57692, 72224, 54361, 51907, 51074, 50843, 52567, 54895, 56392, 68449, 50918, 57692, 72224, 54969, 50800, 51560, 67492, 52152, 55728, 55052, 51835, 57692, 72224, 53267, 51730, 52732, 52296, 54254, 52154, 51620, 54969, 52154, 52765, 55052, 52154, 51628, 57692, 72224, 53267, 52154, 52262, 54254, 52154, 51724, 52083, 50807, 57692, 72224, 54969, 52154, 54789, 55052, 51820, 57692, 72224, 53267, 52154, 52513, 54254, 52154, 51757, 52251, 50807, 54969, 52227, 55000, 55052, 51754, 57692, 72224, 53267, 52154, 52567, 54254, 56392, 78208, 50918, 57692, 72224, 54969, 51730, 52152, 55728, 55052, 51835, 57692, 72224, 53267, 51730, 52732, 52296, 54254, 52154, 51620, 54969, 52154, 52765, 55052, 52154, 51628, 57692, 72224, 53267, 52154, 52262, 54254, 52154, 51724, 52671, 50807, 57692, 72224, 54969, 52390, 54982, 54789, 55052, 51820, 57692, 72224, 53267, 52154, 52513, 54254, 52154, 51757, 52161, 50807, 54969, 52227, 55000, 55052, 51754, 57692, 72224, 53267, 52154, 52567, 54254, 56392, 68449, 51036, 51629, 51492, 56837, 50800, 52318, 55956, 52152, 55728, 53118, 51835, 54757, 51730, 52732, 52296, 54361, 52154, 51620, 56837, 52154, 52765, 53118, 52154, 51628, 54757, 52154, 52262, 54361, 52154, 51724, 51201, 50918, 56837, 52154, 54789, 53118, 51820, 54757, 52154, 52513, 54361, 52154, 51757, 56837, 52227, 55000, 53118, 51754, 54757, 52154, 52567, 54361, 56392, 50799, 52671, 50918, 51794, 50918, 51488, 50918, 56837, 50800, 51868, 54805, 52152, 55728, 53118, 52734, 54757, 52972, 52732, 52296, 54361, 59301, 51620, 56837, 55638, 52765, 53118, 56661, 51628, 54757, 62759, 52262, 54361, 50363, 51163, 51724, 51752, 50918, 51299, 50918, 76180, 51150, 60114, 66739, 51918, 50843, 52513, 50804, 51412, 50843, 51757, 50852, 51923, 50804, 51074, 50843, 52567, 67935, 68449, 50807, 51491, 52045, 52065, 51492, 51395, 51492, 57215, 50859, 51668, 67492, 52152, 55728, 54969, 52734, 55052, 51747, 52732, 52296, 54029, 54796, 51620, 52083, 50807, 57215, 59301, 52765, 54969, 55309, 51628, 55052, 56944, 52262, 54029, 56395, 51724, 52161, 50918, 57215, 57729, 54789, 54969, 54478, 55052, 57821, 52513, 54029, 50368, 51163, 51757, 57215, 70723, 55000, 54969, 67301, 55052, 50362, 51163, 52567, 54029, 50359, 51163, 50800, 50799, 52251, 54805, 52152, 52115, 50798, 52732, 52296, 50843, 51620, 50843, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 52083, 50807, 51491, 53030, 54982, 51918, 50843, 52513, 50843, 51757, 51606, 50807, 64509, 51375, 54490, 51923, 50843, 52567, 67935, 68449, 50807, 51426, 51492, 51491, 51492, 51395, 51492, 51560, 67492, 52152, 52115, 50798, 52732, 52296, 50843, 51620, 52083, 54982, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 52161, 52045, 50843, 51918, 50843, 52513, 50843, 51757, 50852, 51923, 50843, 52567, 67935, 50799, 51394, 54805, 52152, 52115, 50798, 52732, 52296, 50843, 51620, 50843, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 51600, 60114, 66739, 51918, 50843, 52513, 50804, 51412, 50843, 51757, 50852, 51923, 50804, 51074, 50843, 52567, 67935, 68449, 50807, 51491, 51492, 51357, 51492, 51395, 51492, 55052, 50800, 51522, 67492, 52152, 55728, 54029, 51835, 54254, 51730, 52732, 52296, 54895, 52154, 51620, 52083, 50807, 55052, 52154, 52765, 54029, 52154, 51628, 54254, 52154, 52262, 54895, 52154, 51724, 52161, 50918, 55052, 56593, 54789, 54029, 51820, 54254, 52154, 52513, 54895, 52154, 51757, 55052, 52672, 55000, 54029, 52955, 54254, 56613, 52567, 54895, 59301, 50800, 74291, 50918, 55052, 53197, 52152, 55728, 54029, 54351, 54254, 53835, 52732, 52296, 54895, 56395, 51620, 55052, 56661, 52765, 54029, 61005, 51628, 54254, 64930, 52262, 54895, 62759, 51724, 52251, 50807, 55052, 50366, 51106, 54982, 54789, 54029, 51832, 50444, 54254, 50361, 51163, 52513, 54895, 50359, 51163, 51757, 52083, 54490, 51923, 50843, 52567, 67935, 68449, 50807, 51154, 51161, 51375, 51161, 51794, 51492, 56837, 50800, 52318, 67492, 52152, 55728, 53118, 51835, 54757, 51747, 52732, 52296, 54361, 54796, 51620, 52251, 50807, 56837, 54796, 52765, 53118, 56613, 51628, 54757, 59301, 52262, 54361, 55309, 51724, 52671, 52045, 56837, 55638, 54789, 53118, 53086, 54757, 56661, 52513, 54361, 57821, 51757, 77315, 70809, 56837, 68193, 55000, 53118, 62082, 54757, 72125, 52567, 54361, 50361, 51163, 50800, 50799, 66316, 74681, 56837, 50358, 50966, 52152, 55728, 53118, 77797, 54757, 50358, 50966, 52732, 52296, 54361, 50358, 51163, 51620, 70809, 51488, 54982, 52765, 50843, 51628, 50843, 52262, 50843, 51724, 74681, 51395, 52496, 66739, 51918, 50843, 52513, 50804, 51412, 50843, 51757, 72165, 51201, 54490, 51923, 50804, 51074, 50843, 52567, 67935, 66140, 51036, 51600, 51036, 51426, 51492, 54895, 50800, 51560, 67492, 52152, 55728, 55052, 51835, 53267, 51730, 52732, 52296, 54254, 52154, 51620, 54895, 52154, 52765, 53267, 52154, 51628, 54254, 52154, 52262, 54895, 52154, 51724, 54428, 52154, 54789, 54254, 51820, 54895, 52154, 52513, 54428, 52154, 51757, 58143, 52227, 55000, 54895, 51754, 54428, 52154, 52567, 58143, 56392, 50799, 53598, 50918, 51600, 51036, 51394, 51036, 64156, 51730, 52152, 55728, 58143, 51835, 54428, 51730, 52732, 52296, 54895, 52154, 51620, 58143, 52154, 52765, 54428, 52154, 51628, 54895, 52154, 52262, 54254, 52154, 51724, 52171, 50807, 54428, 52390, 54982, 54789, 54895, 51820, 54254, 52154, 52513, 53267, 52154, 51757, 53598, 50807, 54895, 52227, 55000, 54254, 51754, 53267, 52154, 52567, 55052, 56392, 76955, 50918, 52065, 53520, 51395, 51492, 51558, 51492, 54254, 50800 ]

[ 0, 250, 20902, 8, 15352, 30054, 11057, 12, 15076, 24904, 6, 42, 765, 2214, 22750, 1626, 11098, 8, 1313, 1007, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 23667, 20889, 9, 13950, 13410, 228, 2289, 11, 204, 73, 306, 86, 6, 5, 13305, 3315, 5, 169, 6, 7513, 30, 5, 4066, 23225, 9, 5, 326, 5638, 18026, 6, 5, 5204, 22293, 9, 5, 21979, 9590, 6, 8, 5, 17766, 32618, 9, 5, 21072, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 272, 119, 1176, 406, 6, 211, 119, 1176, 406, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 51723, 51009, 51509, 51009, 51793, 52299, 58329, 60625, 51140, 53663, 52061, 51009, 52264, 51009, 53033, 52299, 58329, 70851, 71831, 63355, 51009, 51579, 51009, 52078, 52299, 58329, 60625, 51140, 53663, 52211, 51009, 51641, 51009, 51930, 52299, 58329, 70851, 71831, 69494, 51732, 51509, 51732, 51793, 52299, 58329, 60625, 51140, 54565, 53663, 51793, 67396, 68174, 51793, 51599, 65822, 60200, 52299, 54565, 54107, 51140, 54565, 53663, 51793, 56681, 54565, 54145, 50798, 54565, 52325, 50816, 50802, 56236, 51947, 50824, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54107, 53266, 50802, 51869, 50803, 65460, 51232, 52409, 52030, 53093, 52677, 52125, 53175, 51029, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 70851, 51869, 50803, 65460, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50802, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54226, 53093, 52038, 53175, 51029, 51869, 50803, 65460, 51232, 52409, 52030, 50816, 52125, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 57310, 51947, 52175, 52384, 50802, 51869, 50803, 65460, 51232, 52409, 52325, 52058, 54565, 50802, 71803, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 54226, 51866, 52038, 52698, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52384, 50802, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 57310, 52058, 52175, 53175, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50993, 53366, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 64381, 53093, 51973, 53175, 51352, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 50816, 52125, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 70851, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799, 51947, 50824, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54107, 53266, 50802, 51869, 50803, 65460, 51232, 52409, 52030, 53093, 52677, 52125, 53175, 51029, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 70851, 51869, 50803, 65460, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50802, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54226, 53093, 52038, 53175, 51029, 51869, 50803, 65460, 51232, 52409, 52030, 50816, 52125, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 57310, 51947, 52175, 52384, 50802, 51869, 50803, 65460, 51232, 52409, 52325, 52058, 54565, 50802, 71803, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 54226, 51866, 52038, 52698, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52384, 50802, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 57310, 52058, 52175, 53175, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50993, 53366, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 64381, 53093, 51973, 53175, 51352, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 50816, 52125, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 70851, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799, 52058, 51407, 52176, 50824, 51708, 50824, 51198, 52299, 67263, 54107, 51708, 50803, 69322, 51494, 52409, 52030, 50816, 52125, 52176, 50824, 51708, 50824, 51198, 50824, 51389, 56681, 67263, 58329, 57310, 53175, 52911, 52701, 52116, 52058, 50802, 51708, 50803, 69322, 51494, 52409, 52325, 52384, 65822, 50799, 52698, 50824, 52533, 50824, 52477, 50824, 52040, 52299, 67263, 54107, 52384, 50802, 52477, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52701, 50824, 52533, 50824, 52477, 50824, 52040, 50824, 51984, 56681, 67263, 58329, 70851, 53175, 50824, 52477, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799, 53093, 50824, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 54107, 56173, 50802, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 55870, 52677, 52125, 53542, 51029, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 70851, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 55870, 65822, 50799, 53542, 50802, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 54226, 55870, 52038, 53542, 51352, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 50816, 52125, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 70851, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 50816, 50802, 50799, 52058, 51407, 52176, 50824, 51708, 50824, 51198, 52299, 67263, 54107, 51708, 50803, 69322, 51494, 52409, 52030, 50816, 52125, 52176, 50824, 51708, 50824, 51198, 50824, 51389, 56681, 67263, 58329, 57310, 53175, 52911, 52701, 52116, 52058, 50802, 51708, 50803, 69322, 51494, 52409, 52325, 52384, 65822, 50799, 51702, 50824, 51876, 50824, 51708, 50824, 51280, 52299, 67263, 54107, 52384, 50802, 51876, 50803, 51708, 50803, 65460, 51144, 52409, 52030, 52058, 52677, 52125, 51947, 50824, 51876, 50824, 51708, 50824, 51280, 50824, 51793, 56681, 67263, 58329, 70851, 53175, 50824, 51876, 50803, 51708, 50803, 65460, 51144, 52409, 52325, 50816, 50802, 50799, 53093, 50824, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 54107, 55870, 50824, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 50816, 52125, 53542, 50824, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 51009, 50447, 51247, 51517, 50290, 54980, 53175, 50824, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 50816, 54934, 51279, 50838, 50799, 53093, 50824, 52537, 50824, 52533, 50824, 51708, 52299, 67263, 58297, 51279, 56909, 51247, 51517, 50290, 63030, 62666, 52701, 50824, 52533, 50803, 51708, 50803, 51847, 52409, 52030, 50816, 54241, 51279, 52718, 53175, 51009, 52537, 50824, 52533, 50824, 51708, 50824, 51216, 56681, 67263, 58329, 68071, 51279, 57060, 51247, 51517, 50290, 54980, 52533, 50803, 51708, 50803, 51847, 52409, 52325, 50816, 54934, 51279, 50827, 50799, 51947, 50824, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54107, 53266, 50802, 51869, 50803, 65460, 51232, 52409, 52030, 53093, 52677, 52125, 53175, 51029, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 70851, 51869, 50803, 65460, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50802, 51964, 50824, 51869, 50824, 51280, 52299, 67263, 54226, 53093, 52038, 53175, 51029, 51869, 50803, 65460, 51232, 52409, 52030, 50816, 52125, 51964, 50824, 51869, 50824, 51280, 50824, 51150, 56681, 67263, 58329, 57310, 51947, 52175, 52384, 50802, 51869, 50803, 65460, 51232, 52409, 52325, 52058, 54565, 50802, 71803, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 54226, 51866, 52038, 52698, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 52058, 52677, 52125, 52384, 50802, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 57310, 52058, 52175, 53175, 50802, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 53093, 65822, 50799, 53175, 50993, 53366, 50824, 51869, 50824, 52040, 50802, 51198, 51599, 67263, 64381, 53093, 51973, 53175, 51352, 51869, 50803, 52040, 50803, 51232, 52409, 52030, 50816, 52125, 53366, 50824, 52040, 50824, 51198, 50802, 51494, 66172, 56681, 67263, 58329, 70851, 51869, 50803, 52040, 50803, 51232, 52409, 52325, 50816, 50802, 50799 ]

[ 0, 713, 8787, 3495, 2125, 6, 278, 11, 10, 7212, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 15352, 30054, 8, 32076, 1619, 4780, 4, 20, 3152, 6757, 8, 3741, 27374, 594, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 6, 150, 5, 20535, 3639, 10, 12298, 27456, 4, 96, 5, 762, 9, 230, 538, 6, 5, 15229, 5705, 25614, 2629, 5, 33215, 16739, 9, 1918, 6, 274, 6, 8, 230, 6, 2351, 10, 1472, 9, 30234, 8, 5863, 1328, 63, 19448, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 57448, 51931, 51544, 50837, 51532, 54860, 50852, 53418, 60748, 50893, 51953, 51192, 51829, 51356, 50444, 63596, 50805, 51859, 66070, 76302, 50805, 51676, 51013, 50903, 53268, 60748, 50805, 51953, 51370, 50895, 51621, 50884, 50799, 62965, 51196, 51859, 51183, 51617, 51127, 51829, 51151, 51132, 57838, 63916, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 51953, 51446, 51676, 51397, 76302, 51196, 51374, 51009, 52093, 51180, 52245, 54492, 63678, 52846, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 51914, 51241, 51859, 51218, 51617, 51310, 63596, 51274, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 51914, 51291, 51859, 51472, 52317, 51472, 69576, 51685, 51727, 51029, 61305, 78651, 50820, 51570, 68619, 56093, 53301, 50829, 51618, 56128, 52087, 52763, 50801, 54831, 51187, 59376, 52087, 56597, 50852, 55773, 53353, 53555, 52317, 50923, 51982, 50911, 51859, 51803, 50791, 56581, 54497, 54814, 50903, 52535, 50837, 50799, 51617, 51291, 51829, 51417, 62965, 51196, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 79714, 52502, 54606, 57974, 51982, 50795, 52317, 51173, 51859, 51056, 69576, 51274, 51727, 51059, 52093, 50444, 51617, 50910, 51829, 52744, 52245, 54492, 61305, 52772, 51914, 50936, 51859, 51030, 52317, 60777, 54831, 51187, 52755, 50837, 51647, 53078, 53017, 52301, 51591, 51859, 51591, 51617, 51790, 62965, 51685, 51132, 56168, 53099, 58892, 51970, 51621, 56603, 52093, 53028, 63916, 52694, 53744, 61305, 52976, 51132, 69277, 54831, 51187, 53099, 80029, 53078, 50835, 51556, 52950, 51953, 50795, 60748, 51192, 51829, 54300, 51338, 51331, 52878, 51859, 50893, 63596, 51192, 51181, 50860, 57653, 56379, 53353, 54492, 72102, 54497, 52772, 51676, 51177, 76302, 51055, 51374, 51072, 51479, 59376, 54497, 54781, 50903, 55033, 55399, 53078, 53017, 51953, 55593, 56581, 54497, 58892, 52622, 50459, 69390, 53522, 56904, 51931, 50799, 62965, 51196, 51859, 51183, 51617, 51183, 51132, 57838, 63916, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 76302, 51196, 51953, 50918, 51676, 51047, 51374, 51300, 52093, 51180, 52245, 54492, 63678, 52846, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 51914, 51191, 63596, 51274, 51859, 50983, 51617, 51218, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 51914, 51285, 51859, 51285, 52317, 51472, 69576, 51685, 51727, 51407, 61305, 78651, 50820, 51570, 68619, 56093, 53353, 50829, 51618, 56128, 53301, 52763, 50801, 54831, 51187, 59376, 53301, 56597, 51859, 52311, 50852, 55773, 52502, 53555, 52317, 50923, 51982, 51575, 56581, 53353, 54814, 50903, 52532, 50837, 50799, 62965, 51196, 51617, 51356, 51829, 51077, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 79714, 52502, 54606, 57974, 51859, 50948, 51982, 50948, 52317, 50911, 69576, 51274, 51727, 51029, 52093, 50444, 51859, 50830, 51617, 50940, 51829, 55744, 52245, 54492, 61305, 52772, 51914, 50948, 51859, 51030, 52317, 60777, 54831, 51187, 52755, 50837, 51647, 53078, 53017, 52301, 51896, 51859, 51358, 51617, 51591, 62965, 51685, 51132, 55115, 53099, 58892, 51970, 51621, 56603, 52093, 53028, 63916, 52694, 53744, 61305, 52976, 51132, 69277, 54831, 51187, 53099, 80029, 53078, 50835, 51556, 52950, 51829, 50802, 60748, 51192, 52328, 50976, 51338, 51331, 52878, 63596, 50806, 52317, 51173, 51982, 51060, 51181, 55964, 51187, 56379, 52245, 54492, 72102, 53301, 52772, 51617, 50936, 76302, 50806, 51829, 51158, 76544, 51479, 59376, 53301, 54781, 50903, 55569, 55399, 53099, 53017, 51676, 50948, 52317, 50924, 60748, 51192, 51338, 54065, 56581, 53301, 58892, 52622, 50459, 50903, 52223, 56689, 53301, 56904, 51931, 50799, 54609, 51448, 52949, 51417, 62965, 51196, 52463, 50918, 51829, 51359, 52301, 53487, 51132, 51300, 58005, 51039, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 55209, 52598, 52328, 51749, 76302, 51196, 53455, 51314, 52836, 51145, 51374, 51009, 52093, 51180, 52245, 54492, 63678, 52846, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 55017, 51961, 54609, 51419, 63596, 51274, 52463, 51189, 53329, 51115, 51982, 51310, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 52463, 51274, 55193, 52512, 54609, 51680, 53503, 51675, 69576, 51685, 51727, 51300, 61305, 78651, 50820, 51570, 68619, 56093, 53099, 50829, 51618, 56128, 53301, 52763, 50801, 54831, 51187, 59376, 53353, 56597, 52463, 58558, 55773, 52790, 53555, 55193, 50802, 57159, 53960, 56581, 54016, 54814, 51240, 52502, 50837, 50799, 54609, 51749, 52949, 51417, 52301, 52263, 53329, 51356, 54753, 51148, 62965, 51196, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 79714, 52502, 54606, 57974, 54609, 50978, 51914, 50977, 53503, 50873, 55193, 50802, 57159, 51192, 69576, 51274, 51727, 51029, 52093, 50444, 54609, 50942, 52949, 50897, 52301, 50878, 53329, 51173, 54753, 64532, 52245, 54492, 61305, 52772, 55017, 50987, 54609, 50917, 53503, 50937, 52836, 50948, 55193, 58378, 54831, 51187, 52755, 50837, 51647, 53078, 53017, 56170, 51183, 54609, 51675, 52949, 51591, 62965, 51685, 52463, 51896, 53329, 51685, 51132, 55115, 53099, 58892, 51970, 51621, 56603, 52093, 53028, 63916, 52694, 53744, 61305, 52976, 51132, 61812, 54831, 51187, 53099, 80029, 53078, 50835, 51556, 52950, 51676, 51014, 55209, 50893, 60748, 51192, 52301, 51356, 51338, 51331, 54735, 51829, 73136, 51859, 50936, 54609, 50923, 63596, 51192, 51181, 55964, 51187, 56379, 53353, 54492, 51829, 50936, 72102, 54497, 52772, 51953, 51033, 53455, 51159, 76302, 50896, 51374, 51072, 51479, 59376, 53301, 54781, 51829, 51014, 50903, 54726, 55399, 52703, 53017, 51914, 55417, 56581, 54016, 58892, 52622, 50459, 51829, 56658, 51406, 56689, 53078, 56904, 51931, 50799, 62965, 51196, 51617, 51077, 52949, 51103, 52463, 51077, 51829, 51655, 52301, 53233, 51132, 51300, 58005, 51039, 52535, 50837, 51510, 52502, 52712, 50801, 54831, 51187, 52245, 50908, 51361, 52245, 75402, 52600, 51676, 50807, 76302, 51196, 53455, 51356, 52328, 51077, 51374, 51300, 52093, 51180, 52245, 54492, 63678, 52846, 52836, 51290, 50801, 54831, 51187, 52373, 55423, 51471, 56672, 52502, 50835, 50799, 52328, 50834, 54609, 51679, 51617, 51294, 63596, 51274, 52949, 51115, 51982, 51364, 52463, 51141, 51181, 56168, 73486, 51258, 50419, 51983, 51039, 52703, 54316, 63678, 52641, 50801, 54831, 51187, 53078, 53063, 51982, 51573, 54609, 51397, 53503, 51127, 51914, 51047, 55193, 51407, 69576, 51685, 52463, 52379, 51727, 51407, 61305, 78651, 50820, 51570, 68619, 56093, 53099, 50829, 51618, 56128, 54497, 52763, 51829, 52590, 54831, 51187, 59376, 53301, 56597, 50852, 55773, 52755, 53555, 54609, 50908, 53503, 51030, 51914, 50948, 52317, 51575, 56581, 54497, 54814, 51240, 52502, 50837, 50799, 51829, 51362, 53329, 50983, 52949, 51127, 52301, 51244, 62965, 51196, 51132, 57838, 59912, 52535, 54446, 61305, 52670, 50801, 54831, 51187, 53078, 52953, 53329, 50860 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 25771, 4785, 6, 4246, 10, 1855, 4822, 254, 483, 6, 6755, 12547, 6, 20535, 483, 6, 21979, 8669, 6, 8, 38668, 483, 6, 2351, 10, 3366, 219, 8, 980, 219, 5466, 150, 6780, 10, 19448, 8, 1372, 16464, 6, 278, 11, 10, 1769, 20889, 9, 10529, 163, 5683, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 211, 538, 6, 19, 10, 33215, 16739, 9, 272, 6, 211, 6, 83, 6, 211, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 59560, 51116, 50848, 51127, 51926, 52720, 50420, 50847, 64396, 50935, 74888, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 51357, 54430, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 60220, 51801, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50431, 52525, 51388, 50438, 50848, 51080, 51882, 51388, 50444, 68898, 52525, 61860, 50935, 57024, 51855, 51573, 59560, 51116, 50848, 70704, 50847, 51330, 50421, 51813, 62945, 50935, 74888, 51486, 50433, 52456, 51454, 50438, 50848, 63323, 68898, 51813, 61860, 50935, 57024, 52517, 55198, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 68898, 50448, 51357, 75044, 79073, 50460, 51093, 51761, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50431, 51357, 52827, 50438, 50848, 63323, 50847, 59124, 79073, 50460, 51113, 52512, 59560, 51116, 50848, 51127, 51926, 52720, 50420, 50847, 64396, 50935, 74888, 51486, 50433, 51088, 52379, 50438, 50848, 63323, 50847, 59124, 79073, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50438, 50848, 51080, 51113, 52512, 50444, 50847, 59124, 79073, 50459, 51357, 54430, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 56930, 51352, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 68898, 50448, 66757, 54145, 79073, 50461, 61462, 51184, 59560, 51116, 50848, 70704, 50847, 64396, 50935, 74888, 51486, 50432, 52525, 58395, 50848, 51080, 51882, 57816, 68898, 52525, 51454, 50450, 79073, 50455, 51855, 51054, 50461, 56930, 51352, 59560, 51116, 50848, 70704, 50847, 51330, 51813, 62945, 50935, 74888, 51486, 50432, 52456, 61287, 50848, 51080, 50443, 51813, 60969, 68898, 50449, 66757, 54145, 50935, 57024, 52517, 58690, 50461, 61462, 51184, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50460, 75618, 51184, 57342, 51116, 50848, 70704, 50847, 64396, 50935, 51016, 50848, 51486, 50438, 50848, 63323, 50847, 59124, 79073, 50461, 74356, 51732, 59560, 51116, 50848, 62592, 50983, 50927, 51274, 50417, 50628, 50418, 50628, 50420, 50847, 51330, 50425, 50628, 50426, 50935, 74888, 51486, 53782, 62415, 51685, 50438, 50848, 63323, 50847, 59124, 79073, 59560, 51116, 50848, 62592, 50983, 50927, 66645, 50847, 64396, 50935, 74888, 51486, 53782, 62415, 51685, 50438, 50848, 51080, 50439, 53169, 57310, 50847, 59124, 79073, 50461, 52517, 56769, 57342, 51116, 50848, 51127, 53310, 50967, 55925, 51653, 59738, 79108, 53305, 50983, 50927, 66645, 50847, 51330, 50424, 53310, 50800, 55925, 50882, 59738, 54856, 50935, 55637, 53182, 53310, 51346, 55925, 51112, 54442, 50980, 55450, 50927, 51685, 50438, 50848, 51080, 50791, 53218, 68898, 54442, 51090, 53310, 51091, 55925, 51541, 50450, 50935, 60223, 50807, 50799, 53310, 51060, 55925, 50976, 59738, 54589, 53305, 50983, 50927, 51274, 50423, 53310, 51538, 55925, 52266, 59738, 52266, 51544, 53182, 55450, 50927, 72328, 51357, 50824, 51107, 50824, 51600, 50824, 51558, 52448, 52728, 78469, 51304, 54565, 62220, 50896, 63535, 50802, 51384, 70287, 51184, 51284, 76347, 53305, 50983, 50945, 66645, 51093, 50803, 51304, 52801, 51357, 50803, 51558, 51973, 51093, 51352, 51304, 75122, 53182, 55450, 50945, 51685, 51570, 50807, 51899, 50807, 63535, 50802, 51384, 70287, 51352, 51284, 75122, 53305, 50983, 50945, 66645, 51093, 50803, 51304, 52801, 51357, 50803, 51558, 51973, 78469, 51304, 52448, 53182, 55450, 50945, 51685, 50438, 51107, 50802, 51384, 51331, 53218, 51093, 50803, 51304, 52911, 51357, 50802, 51558, 50802, 51899, 58031, 51093, 50803, 51304, 52163, 51088, 52442, 51182, 52442, 70321, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 55886, 53305, 50983, 50964, 51274, 50423, 51301, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 50993, 51544, 53182, 51301, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 50993, 55450, 50964, 51685, 51570, 58627, 51301, 50993, 51093, 50993, 51266, 50993, 53789, 50993, 53986, 58348, 51301, 50824, 78469, 51266, 50824, 53789, 50824, 53986, 54565, 50807, 66325, 50824, 51266, 50824, 51182, 50824, 51304, 50824, 53986, 50824, 54041, 50824, 57977, 60361, 52218, 76760, 50896, 53214, 51835, 50913, 52296, 50913, 51620, 51093, 50993, 51266, 50993, 51182, 50993, 51304, 50993, 53986, 50993, 54041, 50993, 57977, 60406, 52390, 53365, 50964, 51160, 67654, 51049, 53513, 50816, 50844, 51895, 50994, 52262, 51093, 51059, 51266, 51059, 51182, 51059, 51304, 51059, 53986, 51059, 54041, 51059, 57977, 61940, 52390, 57162, 61078, 78536, 52877, 50913, 50800, 58623, 53491, 51820, 50801, 52085, 50800, 58623, 53721, 51757, 60602, 50802, 57641, 50923, 71409, 56867, 51049, 58792, 51907, 58536, 50896, 54706, 51049, 54194, 60602, 51407, 54041, 52442, 59738, 52442, 57641, 51552, 71409, 51977, 50804, 52390, 50844, 51895, 50994, 50800, 52198, 52390, 57162, 61078, 50800, 57342, 51045, 50847, 78942, 50823, 51088, 52096, 51357, 52121, 51107, 51717, 50913, 52218, 62220, 51285, 53214, 51835, 50848, 68579, 62437, 53607, 52296, 50848, 50961, 50847, 50949, 50935, 53301, 51620, 50847, 78942, 63690, 57361, 52390, 51049, 52765, 50816, 51049, 53513, 50848, 50883, 50847, 79858, 52050, 50844, 51895, 50994, 52262, 50848, 51033, 50847, 79393, 70146, 52390, 57162, 61078, 60997, 68392, 57641, 50923, 71409, 60096, 52831, 50848, 50883, 50935, 68579, 57793, 51820, 50848, 51286, 50847, 51388, 50935, 51388, 61168, 50923, 66106, 56702, 52085, 60997, 51274, 53721, 51757, 57641, 50923, 71409, 56867, 51049, 51907, 58031, 50847, 62437, 61597, 55714, 51049, 54194, 50847, 50949, 50935, 64063, 50930, 57179, 50894, 79048, 55508, 50844, 51895, 50994, 52567, 50848, 50961, 50847, 51031, 50935, 50949, 57179, 51460, 79048, 51235, 50816, 57162, 61078, 50800, 64170, 78942, 63690, 51021, 50913, 52218, 62220, 51285, 53214, 51835, 50848, 50961, 50935, 50961, 50847, 50962, 57641, 51054, 71409, 51343, 50913, 52296, 50913, 60809, 50848, 50883, 50847, 50961, 50935, 55800, 50935, 58971, 52390, 53365, 65530, 51014, 50848, 51030, 67654, 51049, 53513, 50848, 70743, 68579, 56409, 50844, 51895, 50994, 52262, 50847, 50823, 61909, 50848, 60636, 52390, 57162, 61078, 60997, 68392, 57641, 51054, 71409, 51016, 50913, 52831, 50848, 50883, 50847, 53301, 58350, 50935, 52267, 50848, 51388, 69589, 50935, 51388, 50801, 52085, 60997, 51274, 53721, 51757, 57641, 50894, 71409, 55508, 51049, 51907, 55000, 50847, 50949, 50935, 65003, 50930, 57179, 50923, 79048, 56867, 51049, 54194, 50847, 50949, 50935, 69914, 55060, 52390, 50844, 51895, 50994, 57459, 50847, 50949, 50935, 72315, 58561, 57179, 50894, 79048, 53474, 52390, 57162, 61078, 57614, 77564, 52982, 71755, 50823, 51491, 51717, 51357, 52337, 51107, 51717, 57641, 51054, 71409, 51356, 50913, 52218, 72137, 51285, 53214, 51835, 50848, 50880, 50944, 50962, 50935, 57793, 52296, 50944, 51010, 50848, 51286, 50935, 51388 ]

[ 0, 250, 33928, 8, 33558, 3495, 3152, 2214, 4246, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 4401, 757, 3178, 6, 8, 17605, 9590, 4, 20, 2125, 16, 11, 83, 538, 19, 10, 7212, 20889, 9, 8017, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 83, 6, 211, 401, 6, 83, 401, 6, 211, 401, 6, 8, 83, 401, 3639, 7, 5, 17627, 17274, 8, 15352, 30054, 2574, 9, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 60859, 54203, 50903, 51004, 60859, 51693, 51768, 54203, 50903, 61340, 54302, 63878, 54616, 57153, 50873, 61697, 50890, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 54931, 51077, 51897, 56561, 52100, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 60413, 51507, 51030, 51171, 50917, 65713, 62457, 59878, 50873, 53076, 50873, 53552, 52502, 52670, 51507, 76767, 61659, 50889, 77665, 59878, 50873, 53076, 53946, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 57421, 52669, 63430, 50818, 51171, 72742, 50924, 53865, 50833, 51390, 53530, 74457, 54034, 53865, 50833, 51390, 53415, 51507, 50952, 54082, 57968, 51171, 51116, 54817, 50873, 51924, 50873, 80091, 52502, 53127, 57014, 77124, 74434, 50444, 51507, 50925, 50944, 56678, 63650, 50805, 53865, 50833, 51390, 50833, 69577, 52862, 51406, 52502, 50837, 51491, 71252, 65584, 62617, 53865, 51241, 51390, 73324, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 59246, 52918, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 54664, 52862, 74457, 50837, 61697, 50940, 52564, 51627, 54082, 52263, 53163, 52407, 50848, 50818, 51171, 50952, 50946, 51095, 50944, 61659, 50889, 77665, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 50685, 50270, 50854, 59878, 50873, 53076, 55689, 51507, 50812, 51171, 51364, 53552, 52790, 53899, 59878, 50833, 53076, 53049, 51507, 50940, 67208, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 54172, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50429, 59878, 50833, 53076, 53627, 51507, 51033, 50946, 59760, 50849, 59878, 50833, 53076, 53530, 51239, 52790, 54034, 55253, 50873, 52004, 54233, 51507, 50952, 54082, 57968, 51171, 51116, 69577, 50805, 80091, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50833, 51390, 54207, 51507, 50925, 50847, 56678, 58778, 63650, 50805, 53865, 50833, 51390, 50833, 59246, 50889, 53552, 52502, 50837, 51088, 71252, 50873, 51357, 65584, 62617, 53865, 50833, 51390, 53639, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 54817, 50873, 51924, 53946, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 53865, 50873, 51390, 50873, 69577, 52862, 74457, 50837, 61697, 50940, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 51171, 50983, 50946, 51141, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 60413, 51507, 50948, 59878, 50873, 53076, 50873, 53552, 52502, 52670, 51507, 50952, 50944, 61659, 50889, 77665, 59878, 50873, 53076, 53946, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 57421, 51507, 50930, 53865, 50833, 51390, 53530, 74457, 54034, 50685, 50270, 50813, 53865, 50833, 51390, 53415, 51507, 50952, 54082, 57968, 51171, 51116, 54817, 50873, 51924, 50873, 80091, 52502, 53127, 57014, 77124, 74434, 50444, 51507, 50925, 50944, 56678, 63650, 50805, 53865, 50833, 51390, 50833, 69577, 52862, 74457, 50837, 51491, 71252, 65584, 62617, 53865, 51221, 51390, 68031, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 59246, 52918, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 53865, 50833, 51390, 50833, 54664, 52862, 51239, 52535, 54600, 53865, 50833, 51390, 50833, 61697, 50940, 50944, 61659, 50889, 77665, 59878, 50925, 53076, 50925, 54931, 50889, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 50685, 50270, 72250, 59878, 50925, 53076, 60872, 51507, 50812, 52631, 63069, 54082, 52782, 51171, 50917, 65713, 62457, 53552, 52502, 59136, 59878, 50925, 53076, 57499, 51507, 50940, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 69577, 52918, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50429, 59878, 50873, 53076, 54259, 51507, 51033, 50848, 50818, 51171, 72742, 50924, 59246, 50889, 53552, 52502, 54034, 55253, 50873, 52004, 54233, 51507, 50952, 54082, 57968, 51171, 51116, 80091, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50873, 51390, 55322, 51507, 50925, 50847, 56678, 58778, 63650, 50805, 63103, 50889, 54643, 52790, 50837, 51088, 71252, 50873, 51357, 65584, 62617, 53865, 50833, 51390, 53639, 51704, 50952, 54688, 57968, 51332, 51116, 59853, 77644, 73759, 77665, 54817, 50873, 51924, 53946, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 50988, 51116, 50848, 68429, 51704, 50925, 53865, 50873, 51390, 50873, 63103, 52862, 51239, 52790, 54600, 50801, 50841, 61697, 50940, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 50685, 50270, 54611, 51507, 50812, 51171, 50917, 65713, 62457, 59878, 50873, 53076, 50873, 53552, 52790, 52670, 51507, 50940, 50944, 61659, 50889, 77665, 59878, 50873, 53076, 53946, 61971, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 51107, 57421, 51507, 51033, 50848, 50818, 51171, 72742, 50924, 53865, 50833, 51390, 53530, 54726, 52502, 54034, 53865, 50833, 51390, 53415, 51507, 50952, 54082, 57968, 51171, 51116, 54817, 50833, 51924, 53530, 61971, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50873, 51390, 55322, 51507, 50925, 50944, 56678, 63650, 50805, 69577, 52862, 51406, 52502, 50837, 51491, 71252, 65584, 62617, 53865, 50943, 51390, 56508, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 59246, 52918, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 54664, 52862, 74457, 54600, 54302, 50833, 51590, 50833, 61697, 50940, 52564, 51627, 54082, 52263, 53163, 52407, 51171, 63580, 51173, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 54931, 50889, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 59878, 50833, 53076, 53932, 51507, 50948, 59878, 50833, 53076, 53530, 51239, 52373, 53899, 51171, 54887, 59878, 50833, 53076, 53049, 51507, 50952, 67208, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 69577, 52918, 51041, 52100, 53301, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50429, 59878, 50873, 53076, 54259, 51507, 50930, 59246, 50889, 53552, 52790, 54034, 50685, 50270, 50813, 55253, 50873, 52004, 54233, 51507, 50952, 54082, 57968, 51171, 51116, 80091, 52502, 53127, 57014, 77124, 74434, 50441, 53865, 50833, 51390, 54207, 51507, 50925, 50847, 56678, 58778, 63650, 50805, 53865, 50833, 51390, 50833, 63103, 50889, 54643, 52790, 50837, 51088, 71252, 50873, 51357, 65584, 62617, 53865, 50833, 51390, 53639, 51598, 50952, 54688, 57968, 50988, 51116, 59853, 77644, 73759, 77665, 54817, 50873, 51924, 53946, 61971, 53301, 53127, 50846, 78580, 51113, 50943, 51357, 50943, 71938, 50451, 72798, 50850, 68429, 51598, 50925, 53865, 50873, 51390, 50873, 63103, 52862, 51239, 52790, 54600, 50852, 50846, 61697, 50940, 52564, 51447, 52631, 51703, 54082, 51314, 53163, 51314, 50944, 61659, 50889, 77665, 59878, 50833, 53076, 50833, 54931, 51077, 80091, 52502, 53127, 50846, 51491, 50943, 51113, 50943, 71938, 50417, 59878, 50833, 53076 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 3152, 2214, 19, 5175, 4785, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 38668, 9590, 6, 21072, 6, 8, 8669, 21040, 2857, 6, 2351, 10, 11739, 9, 2933, 8, 15352, 30054, 1007, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 33215, 16739, 9, 12608, 6, 274, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 76178, 50796, 50444, 58170, 50849, 67956, 57865, 52175, 58170, 50849, 67956, 57865, 52325, 53582, 50849, 73207, 57178, 50802, 50799, 53582, 51124, 52023, 50993, 57178, 50993, 50422, 55867, 51413, 50423, 66299, 73576, 50680, 50281, 50849, 52971, 50802, 56520, 52125, 50680, 50281, 50849, 52971, 50802, 56520, 52313, 75227, 50849, 52160, 50802, 54634, 52175, 75227, 50849, 52160, 50802, 54634, 50802, 72965, 60445, 51068, 60815, 58170, 50849, 67956, 57865, 52175, 58170, 50849, 67956, 57865, 52325, 53582, 50849, 73207, 57178, 50802, 50799, 53582, 51124, 52023, 50993, 57178, 50993, 50422, 55867, 59573, 66299, 66440, 50680, 50281, 50849, 52971, 50802, 56520, 52125, 50680, 50281, 50849, 52971, 50802, 56520, 52313, 75227, 50849, 52160, 50802, 54634, 61492, 60678, 58170, 50849, 67956, 57865, 61492, 60272, 75227, 50849, 52160, 50802, 54634, 61492, 50971, 50799, 53582, 50849, 73207, 57178, 61492, 55105, 58170, 51189, 51969, 51029, 57865, 51029, 51326, 53803, 51456, 58594, 51456, 53860, 51224, 56030, 51224, 50867, 51450, 51100, 50856, 50987, 51769, 51603, 50444, 58170, 50849, 67956, 57865, 52175, 58170, 50849, 67956, 60328, 50918, 57865, 52677, 57594, 60077, 53582, 50849, 73207, 57178, 50802, 50799, 53582, 51124, 52023, 50993, 57178, 55311, 72875, 50845, 51694, 53507, 53387, 50680, 50281, 50849, 52971, 50802, 56520, 51599, 53574, 50680, 50281, 50849, 52971, 50802, 56520, 51599, 56503, 68247, 75227, 50849, 52160, 50802, 54634, 51599, 54255, 50798, 52848, 58170, 50849, 67956, 57865, 52677, 56503, 51923, 75227, 50849, 52160, 50802, 54634, 51599, 50812, 50799, 53582, 50849, 73207, 57178, 51599, 53507, 62229, 58170, 51189, 51969, 51029, 51843, 50795, 57865, 57520, 52710, 53289, 52108, 56503, 55214, 52341, 52108, 53574, 51583, 52149, 51856, 52149, 51245, 52149, 52375, 50983, 54634, 50823, 52428, 51168, 52510, 54634, 51599, 54796, 50809, 51382, 54796, 52485, 52375, 51358, 54634, 51520, 55250, 50809, 50799, 54634, 50823, 52428, 51168, 52628, 54634, 50823, 52428, 51163, 79159, 55250, 52359, 54634, 51300, 52428, 51168, 50809, 51450, 55250, 54790, 50771, 50302, 68722, 51843, 51428, 54796, 52555, 53289, 51626, 55250, 52485, 52341, 50795, 54634, 51520, 55250, 50809, 50799, 52375, 50795, 54634, 51066, 52428, 51168, 52628, 54111, 51428, 54796, 52329, 54455, 50795, 54634, 51779, 55250, 52359, 54634, 51520, 55250, 52444, 51347, 52149, 51856, 52149, 51245, 52149, 54455, 50983, 54160, 50823, 52428, 51168, 52510, 54160, 50860, 52428, 51163, 50809, 51382, 55250, 52485, 53289, 51161, 54160, 51520, 55250, 50809, 50799, 54160, 50823, 52428, 51168, 52628, 54160, 51520, 55250, 79159, 55250, 52359, 54160, 51300, 52428, 51168, 50809, 51450, 55250, 54790, 50771, 50302, 68722, 51843, 51428, 54796, 52555, 53289, 51626, 55250, 52485, 52341, 50795, 54160, 51520, 55250, 50809, 50799, 52375, 50795, 54160, 50975, 52428, 51168, 52628, 54111, 51428, 55250, 52329, 54455, 50795, 54160, 52279, 55250, 52359, 54160, 51520, 55250, 52444, 52023, 51307, 51347, 51307, 51856, 51307, 54455, 50807, 66263, 51520, 55250, 52510, 66263, 50976, 52428, 51168, 52555, 54111, 51626, 55250, 52485, 54111, 50795, 66263, 51520, 55250, 50809, 50799, 66263, 50976, 52428, 51168, 52628, 52375, 51428, 55250, 52329, 66263, 57432, 55250, 52359, 52341, 51161, 52428, 51168, 52444, 51583, 51307, 51188, 51307, 51497, 51307, 56070, 50823, 52428, 51168, 52510, 56070, 51599, 55250, 50809, 51382, 55250, 52485, 56070, 51520, 55250, 50809, 50799, 56070, 50823, 52428, 51168, 52628, 53289, 50795, 56070, 50860, 52428, 51163, 52329, 51622, 52496, 55250, 50809, 51974, 55250, 52444, 51583, 51307, 51856, 51307, 51245, 51307, 53289, 50983, 54634, 51059, 52428, 51168, 50809, 52129, 55250, 50809, 51382, 55250, 52485, 53687, 50807, 54634, 51059, 52428, 51168, 50809, 51528, 55250, 52628, 54455, 51428, 54796, 52329, 54111, 50795, 54634, 52865, 55250, 52359, 52375, 51428, 55250, 52444, 54111, 50795, 54634, 51599, 55250, 52510, 52375, 50795, 54634, 51599, 54796, 53401, 50798, 52848, 53289, 52108, 55250, 52485, 51843, 50807, 54634, 50976, 52428, 51163, 50809, 51528, 54796, 52628, 51843, 50795, 56070, 51599, 54796, 52329, 53289, 50795, 54160, 52677, 55250, 52359, 52341, 50795, 53133, 55720, 55250, 52444, 51583, 52149, 51856, 52149, 51245, 52149, 52375, 50983, 54634, 50823, 50689, 50331, 51730, 55250, 64665, 51603, 50444, 54634, 50802, 61533, 52259, 54796, 52555, 58103, 51907, 54796, 52485, 52375, 51358, 54634, 50803, 55581, 51730, 55250, 50809, 50799, 54634, 50823, 50689, 50331, 51730, 55250, 52628, 54634, 50823, 61533, 52259, 54796, 52329, 58103, 51907, 55250, 52359, 54634, 51300, 55581, 51730, 55250, 52444, 50689, 50331, 51730, 55250, 54790, 50771, 50302, 68722, 51843, 50795, 61533, 52259, 54796, 52555, 53289, 50795, 58103, 51907, 55250, 52485, 52341, 50795, 54634, 50803, 55581, 51730, 55250, 50809, 50799, 52375, 50795, 54634, 51066, 50689, 50331, 51730, 55250, 52628, 54111, 50795, 61533, 51730, 54796, 52329, 54455, 50795, 54634, 50803, 58103, 51907, 55250, 52359, 54634, 50803, 55581, 51730, 55250, 52444, 51347, 52149, 51856, 52149, 51245, 52149, 54455, 50983, 54160, 50823, 59907, 52259, 55250, 52510, 54160, 50860, 58103, 52259, 54796, 52555, 55581, 51907, 55250, 52485, 53289, 51161, 54160, 50803, 54559, 52259, 55250, 50809, 50799, 54160, 50823, 59907, 52259, 55250, 52628, 54160, 50803, 58103, 52259, 55250, 52329, 55581, 51907, 55250, 52359, 54160, 51300, 54559, 52259, 55250, 52444, 59907, 52259, 55250, 54790, 50771, 50302, 68722, 51843, 50795, 58103, 52259, 54796, 52555, 53289, 50795, 55581, 51907, 55250, 52485, 52341, 50795, 54160, 50803, 54559, 51730, 55250, 50809, 50799, 52375, 50795, 54160, 50975, 59907, 51730, 55250, 52628, 54111, 50795, 58103, 52259, 55250, 52329, 54455, 50795, 54160, 50811, 55581, 51907, 55250, 52359, 53687, 50795, 54160, 50803, 54559, 52259, 55250, 52444, 52023, 51307, 51347, 51307, 51856, 51307, 54455, 50807, 66263, 50803, 60528, 52259, 55250, 52510, 66263, 50976, 55581, 52259, 55250, 52555, 54111, 50795, 54559, 51907, 55250, 52485, 54111, 50795, 66263, 50803, 54621, 51730, 55250, 50809, 50799, 66263, 50976, 60528, 52259, 55250, 52628, 52375, 50795, 55581, 52259, 55250, 52329, 66263, 50975, 54559, 51907, 55250, 52359, 52341, 51161, 54621, 50830, 52428, 51168, 52444, 51583, 51307, 51188, 51307, 51497, 51307, 56070, 50823, 61533, 52259, 55250, 52510, 56070, 50802, 55279, 52259, 55250, 52555, 55684, 52467, 55250, 52485, 56070, 50803, 53604, 51730, 55250, 50809, 50799, 56070, 50823, 61533, 52259, 55250, 52628, 53289, 50795, 56070, 50860, 55279, 52259, 54796, 52329, 51622, 50807, 55684, 51907, 55250, 52359, 53604, 51730, 55250, 52444, 51583, 52149, 51856, 52149, 51245, 52149, 53289, 53520, 54634, 51059, 50689, 50331, 52259, 55250, 52510, 61533, 52259, 54796, 52555, 58103, 51907, 55250, 52485, 54634, 51059, 55581, 52259, 55250, 50809, 50799, 50689, 50331, 52259, 55250, 52628, 61533, 52259, 54796, 52329, 54634, 50823, 58103, 51907, 55250, 52359, 54634, 50811, 55581, 52259, 55250, 53307, 54634, 51670, 53574, 54634, 50811, 50689, 50331, 52259, 54465, 54634, 50811, 61533, 52259, 53886, 54634, 50811, 58103, 51907, 53875, 54634, 51029, 55581, 52259, 50836, 52591, 51456, 54252, 51456, 52921, 51224, 56739, 51224, 53193, 51326 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 2382, 3459, 8669, 483, 7513, 30, 13305, 6, 21072, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 13259, 13410, 228, 2289, 6, 2351, 10, 33558, 8, 1372, 5466, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 53389, 51714, 51656, 51945, 52430, 51717, 50426, 59454, 53961, 67092, 54356, 59454, 51376, 60165, 54752, 51881, 51353, 51838, 51293, 56617, 51353, 67092, 51376, 55746, 60165, 69096, 54720, 51353, 52033, 51359, 52225, 51151, 55746, 59454, 53961, 67092, 54356, 59454, 51376, 60165, 54752, 53389, 52069, 51656, 52071, 54720, 53651, 67092, 51376, 55746, 60165, 73380, 52187, 50901, 53541, 62174, 52133, 50873, 51711, 50901, 73159, 50866, 50799, 52430, 51945, 55430, 51359, 51881, 52149, 51838, 52250, 50426, 67092, 50866, 73159, 59982, 59454, 54014, 67092, 55040, 67092, 58262, 59454, 63044, 53499, 51359, 60165, 50866, 67092, 50978, 50799, 56617, 51359, 50426, 60165, 63044, 52626, 53380, 73159, 50866, 50799, 54720, 51894, 50426, 67092, 50866, 73159, 59982, 59454, 54014, 67092, 55040, 67092, 58262, 59454, 63044, 56617, 50873, 60165, 50866, 67092, 50978, 50799, 52886, 51103, 52137, 51359, 59439, 51307, 51615, 51353, 50426, 60165, 60676, 53828, 51623, 50796, 62178, 54565, 50896, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 60396, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 54565, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 51479, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 55070, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 59511, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54689, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 59511, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 51479, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 54565, 52448, 55552, 50715, 50340, 52193, 50715, 50339, 51759, 54934, 50715, 50340, 50817, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 50715, 50339, 53432, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 52715, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 54565, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 50715, 50337, 50976, 51479, 55804, 64343, 75049, 57288, 52750, 52302, 79589, 54589, 54381, 50843, 54504, 72035, 50715, 50335, 65424, 60406, 52409, 52448, 52726, 51443, 50811, 61126, 52590, 51052, 52676, 70593, 79589, 76448, 54589, 55380, 50852, 52175, 50801, 53694, 58807, 67396, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 54589, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 51059, 50816, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 50715, 50337, 50976, 51479, 55804, 64343, 75049, 57288, 52750, 53213, 79589, 54589, 54381, 50843, 54504, 72035, 50715, 50335, 52590, 60406, 52409, 52448, 52726, 51443, 50811, 61126, 52590, 51052, 52676, 70593, 79589, 60288, 54589, 55380, 50852, 52175, 50801, 51812, 58807, 63759, 54589, 55552, 50715, 50340, 52193, 50715, 50339, 51759, 51732, 50459, 50715, 50340, 50817, 52534, 50811, 51810, 50811, 64138, 50811, 50715, 50339, 53432, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 60396, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 51059, 50816, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 55070, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 54565, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 52750, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54689, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 56372, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 63759, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 70593, 51479, 55380, 50852, 52175, 50801, 53694, 58807, 63759, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 52750, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 52715, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 65374, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 57474, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 51069, 55075, 54589, 55380, 50852, 52175, 50801, 53694, 58807, 54565, 52448, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 52750, 50898, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 52448, 52726, 51069, 52651, 51052, 52952, 50964, 52590, 54589, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 65374, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 52750, 50898, 55804, 64343, 75049, 57288, 52750, 66421, 54381, 50843, 54504, 51069, 55166, 60406, 52409, 52448, 52726, 51443, 52750, 51052, 52676, 51069, 55075, 54589, 55380, 50852, 52175, 50801, 51812, 58807, 52677, 54589, 52884, 50852, 50802, 52534, 50811, 51810, 50811, 64138, 50811, 52033, 51696, 51615, 51184, 52187, 51151, 51479, 55804, 57951, 51810, 50811, 64138, 52750, 66421, 55081, 50843, 54504, 50964, 52750, 60406, 52409, 60396, 52726, 51069, 52651, 51052, 52952, 56372, 51869, 51226, 52040, 51362, 51280, 51029, 51232, 51552, 51479, 66901, 55059, 70259, 75049, 57288, 52768, 51530, 50811, 56961, 52750, 53694, 58807, 54565, 52448, 52884, 51810, 50811, 64138, 53903, 53285, 50811, 75049, 57288, 50811, 51615, 51184, 51711, 52208, 50715, 50337, 50976, 51708, 51696, 51280, 52208, 51232, 51696, 51479, 55804, 64343, 75049, 57288, 52750, 53213, 79589, 54589, 54381, 50843, 55070, 72035, 50715, 50335, 65424, 60406, 52409, 52448, 52726, 51443, 50811 ]

[ 0, 250, 15352, 30054, 3495, 2214, 11, 274, 538, 6, 4246, 10, 13305, 14, 1974, 10, 13931, 9, 211, 119, 6, 272, 119, 6, 163, 428, 6, 8, 230, 40286, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 2905, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50906, 51455, 50295, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 54578, 61739, 55382, 50956, 59258, 54975, 50899, 60006, 55247, 50900, 58421, 50915, 55694, 51455, 50295, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 56178, 51151, 50861, 51151, 50876, 51151, 50438, 51081, 53999, 50999, 51115, 56807, 61861, 51422, 50871, 51422, 50906, 68988, 50931, 53387, 50931, 51047, 56415, 50915, 55694, 51151, 50438, 51081, 53999, 50999, 51115, 58479, 51047, 51027, 51151, 50900, 51151, 50956, 51151, 50861, 51151, 50438, 50999, 55247, 50951, 50915, 60497, 60045, 51151, 50899, 51151, 50989, 51151, 50426, 50951, 53387, 50999, 51115, 50456, 50902, 50845, 60820, 61861, 51151, 50861, 51151, 50906, 51151, 50426, 51062, 53387, 51081, 51047, 60820, 61861, 51151, 50871, 51151, 50861, 51151, 50906, 51151, 50426, 51062, 53387, 51081, 55247, 50931, 53586, 50951, 52644, 54206, 51422, 50956, 51422, 50861, 51422, 50906, 51422, 65851, 50915, 57923, 51151, 50432, 50951, 53264, 50999, 53999, 51081, 51115, 56807, 51047, 50900, 51151, 50956, 51151, 50861, 51151, 50438, 50999, 55247, 51081, 50915, 58479, 60045, 51151, 50871, 51151, 50877, 51151, 50426, 50951, 53387, 50931, 51115, 76496, 50845, 59733, 61861, 51151, 50871, 51151, 50877, 51151, 50876, 51151, 50426, 51062, 54975, 51062, 55247, 51062, 53586, 51146, 50845, 59733, 58134, 51151, 50861, 51151, 50906, 51151, 50426, 51081, 53387, 51081, 51115, 50456, 51081, 50845, 60820, 66715, 52644, 50861, 52644, 50906, 52644, 50426, 50999, 54975, 50951, 55247, 50999, 53586, 51081, 51714, 61627, 74655, 50456, 51081, 50845, 60820, 58134, 52644, 50877, 52644, 50876, 52644, 50426, 51062, 54975, 51062, 55247, 50931, 53586, 50931, 52919, 50796, 63931, 53264, 50900, 58421, 55247, 50871, 50915, 56178, 51047, 65218, 72421, 50951, 60610, 50999, 66715, 51047, 65218, 50906, 69600, 51081, 53586, 50999, 51115, 54206, 51047, 50989, 51047, 67663, 60718, 54975, 51146, 61861, 51047, 50989, 51047, 67663, 50450, 51062, 50915, 59733, 61861, 51047, 65218, 50906, 62479, 51081, 53387, 51081, 52644, 55898, 51047, 65218, 72421, 54206, 51047, 67137, 68275, 55898, 51047, 67137, 67663, 76496, 50845, 56807, 66715, 51047, 65218, 50906, 62479, 51081, 54975, 51081, 66715, 51047, 65218, 50906, 69600, 51081, 53586, 50999, 51115, 54206, 51047, 50989, 51047, 67663, 60718, 54975, 51146, 61861, 51047, 50989, 51047, 67663, 50450, 51062, 50915, 59733, 61861, 51047, 65218, 50906, 62479, 51146, 53387, 51146, 51151, 55898, 51047, 65218, 72421, 54206, 51047, 65218, 72421, 50432, 51146, 53264, 51146, 59537, 51047, 65218, 50906, 63897, 51146, 53562, 51062, 53586, 51081, 50845, 56807, 60045, 51047, 50956, 51047, 50861, 62479, 51081, 53387, 51081, 51047, 55203, 51047, 50956, 51047, 65218, 56229, 61861, 51047, 67137, 50906, 62479, 51081, 53387, 51081, 51047, 55898, 51047, 67137, 72421, 56807, 66715, 51047, 65218, 50906, 62479, 50999, 53387, 51081, 51115, 64574, 51047, 65218, 50906, 69600, 51081, 50915, 56807, 66715, 51047, 65218, 50906, 62479, 50999, 53387, 51081, 51115, 64574, 51047, 65218, 50906, 69600, 51081, 53586, 51062, 50845, 59733, 58134, 51047, 67663, 50876, 62479, 50931, 53387, 50931, 52919, 57019, 51047, 67663, 68275, 54578, 51047, 72421, 50876, 60610, 51062, 58134, 51047, 67663, 68275, 50450, 50931, 53586, 50931, 51047, 54578, 51151, 50877, 51151, 50876, 51151, 77431, 51455, 50330, 53264, 50951, 51455, 50331, 53999, 50931, 51455, 50330, 53562, 51001, 67996, 53586, 50902, 74191, 50845, 55881, 60006, 64951, 55382, 50931, 51455, 50330, 79004, 57173, 50931, 51047, 51146, 51047, 57019, 55247, 50997, 57414, 50931, 51455, 50330, 50845, 54197, 69928, 80082, 55382, 50902, 74191, 63327, 57173, 51001, 51115, 51062, 51115, 57019, 55247, 50900, 61739, 51619, 50326, 50915, 55881, 60006, 64951, 55382, 50931, 51455, 50330, 79004, 57173, 50931, 51047, 51146, 51047, 57019, 55247, 50997, 57414, 50931, 51455, 50330, 50845, 54197, 69928, 80082, 55382, 50902, 74191, 63327, 57173, 51001, 51115, 51062, 51115, 57019, 55247, 50900, 61739, 51619, 50326, 50915, 54955, 51047, 50997, 51047, 74169, 51339, 51452, 50438, 51378, 51047, 51026, 51047, 50997, 51047, 50899, 63897, 51146, 53562, 51062, 50915, 54197, 51047, 51026, 51047, 50997, 51047, 74169, 51081, 51422, 50438, 51315, 51047, 51026, 51047, 50997, 51047, 50899, 69600, 50931, 53586, 50931, 50845, 56807, 51619, 50295, 51717, 51026, 51717, 50997, 51717, 50899, 51717, 50426, 51146, 53387, 50951, 70703, 50931, 53586, 50951, 51714, 76501, 50931, 51455, 50330, 53586, 50931, 51455, 50330, 50845, 56807, 51619, 50331, 60045, 51151, 50956, 51151, 50861, 51151, 50426, 50931, 51619, 50330, 54975, 51001, 80082, 55247, 50931, 51455, 50330, 53586, 51001, 53295, 51062, 53295, 56178, 51047, 50906, 60610, 50956, 51047, 72421, 53975, 51151, 50871, 51151, 50877, 51151, 50438, 51146, 53999, 51062, 53562, 51081, 50915, 54955, 51047, 50997, 51047, 74169, 51339, 51452, 50438, 51378, 51047, 51026, 51047, 50997, 51047, 50899, 63897, 51146, 53562, 51062, 50915, 54197, 51047, 51026, 51047, 50997, 51047, 74169, 51081, 51422, 50438, 51315, 51047, 51026, 51047, 50997, 51047, 50899, 69600, 50931, 53586, 50931, 50845, 56807, 51619, 50295, 51717, 51026, 51717, 50997, 51717, 50899, 51717, 50426, 51146, 53387, 50951, 70703, 50931, 53586, 50951, 51714, 76501, 50931, 51455, 50330, 53586, 50931, 51455, 50330, 50845, 56807, 51619, 50331, 60045, 51151, 50956, 51151, 50861, 51151, 50426, 50931, 51619, 50330, 54975, 51001, 80082, 55247, 50931, 51455, 50330, 53586, 51001, 53295, 51062, 53295, 56178, 51047, 50906, 60610, 50956, 51047, 72421, 53975, 51151, 50871, 51151, 50877, 51151, 50438, 51146, 53999, 51062, 53562, 51081, 50915, 55694, 74191, 51455, 50295, 51151, 50997, 51151, 50871, 51151, 60564, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 54578, 61739, 55382, 50956, 59258, 54975, 50899, 60006, 55247, 50900, 58421, 50915, 55694, 51455, 50295, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 73787, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 55694, 51455, 50290, 51151, 50997, 51151, 55961, 53172, 50906, 53387, 50931, 56306, 50906, 53562, 50871, 50915, 54578, 61739, 55382, 50956, 59258, 54975, 50899, 60006, 55247, 50900, 58421, 50915, 53975, 51151, 50416, 50899, 51151, 74850, 51151, 50419, 50906, 51151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 15352, 30054, 8, 20425, 3495, 2214, 6, 30291, 19, 5175, 4785, 6, 22750, 1626, 11098, 1328, 63, 7212, 20889, 8, 2216, 132, 73, 306, 86, 6543, 4, 20, 20535, 2810, 6, 4246, 38668, 20535, 8, 32909, 6, 1239, 5, 483, 6, 150, 21072, 8, 3459, 9590, 694, 10, 2705, 41063, 15796, 4811, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 5, 2214, 26658, 149, 10, 33215, 13931, 9, 381, 6, 1918, 406, 6, 274, 73, 534, 6, 1918, 406, 6, 8, 163, 43531, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 74734, 50426, 51509, 50883, 51713, 55212, 51509, 50851, 51713, 69227, 51579, 50859, 51776, 68974, 52336, 50808, 52366, 50808, 51057, 50945, 51045, 52067, 51352, 52336, 51004, 52002, 51352, 52366, 63015, 51012, 51956, 50415, 50913, 50867, 71787, 52825, 50839, 54010, 50818, 57463, 51187, 58235, 52105, 50423, 50945, 54749, 66890, 51133, 50880, 79211, 50811, 51532, 52925, 51133, 50821, 52825, 50855, 54010, 50887, 57463, 50809, 61246, 50882, 51556, 50839, 51057, 50945, 66149, 64522, 61240, 51030, 51402, 53203, 52825, 50841, 54010, 50818, 57463, 51239, 56818, 50945, 68133, 54534, 72533, 51133, 54149, 51509, 50818, 51713, 71728, 51467, 53831, 54935, 51509, 50844, 51713, 50844, 52105, 50431, 78987, 52067, 50858, 52002, 54154, 52825, 50839, 54010, 50809, 57463, 51044, 53618, 51010, 50434, 52629, 50822, 52306, 50822, 51556, 50835, 51057, 51186, 51030, 53954, 50807, 52991, 61559, 51406, 54200, 51138, 51402, 53023, 55491, 50840, 52825, 50839, 62102, 50829, 50679, 50332, 51464, 58235, 51186, 50836, 51510, 53871, 72533, 52336, 50943, 52366, 57908, 50945, 51010, 51782, 53290, 53889, 50811, 51532, 59483, 50945, 55736, 52825, 50839, 55491, 50809, 62102, 50809, 65906, 51010, 51556, 58855, 51186, 50936, 51057, 51509, 51116, 51713, 51116, 50913, 51437, 52816, 51021, 69884, 52825, 50841, 55491, 50809, 62102, 50887, 52261, 50422, 51186, 66693, 64863, 80048, 51011, 63098, 51509, 50884, 51713, 51179, 71728, 53396, 54935, 51509, 50907, 51713, 50907, 52105, 50431, 60357, 51579, 50858, 52825, 50841, 55491, 50890, 62102, 50895, 51776, 50858, 52093, 51974, 51010, 50434, 52336, 50812, 52366, 51420, 56305, 69124, 52067, 51010, 52002, 62499, 50829, 67014, 52816, 51138, 50416, 51762, 50419, 52825, 50828, 54010, 50961, 57463, 51135, 53576, 52067, 51010, 52002, 51010, 50421, 50945, 60170, 65664, 52112, 50425, 50964, 50385, 53830, 52928, 52067, 50940, 52002, 55417, 52538, 61347, 52112, 50429, 51579, 50800, 51776, 58812, 50964, 50890, 52067, 50942, 52002, 50942, 53005, 52927, 52825, 50846, 54010, 50961, 57463, 69873, 51579, 50800, 51776, 77993, 56359, 50913, 50835, 51057, 50945, 51138, 51509, 51235, 51713, 51235, 76935, 51138, 51402, 63244, 52825, 50841, 54010, 50890, 57463, 68709, 57466, 50945, 55081, 50798, 50894, 51471, 50425, 51509, 50808, 51713, 52476, 50599, 52762, 50964, 55531, 51156, 59551, 51641, 50894, 52099, 50894, 51532, 56657, 75990, 51485, 50808, 51648, 52559, 52825, 50839, 54010, 50890, 57463, 53579, 51010, 52105, 50434, 51641, 50859, 52099, 52189, 58694, 51509, 52369, 51713, 52369, 51057, 51186, 50936, 50913, 51437, 53871, 51138, 75502, 52825, 50841, 55491, 50895, 62102, 51135, 56818, 50798, 60134, 51186, 51041, 53855, 50945, 55531, 50926, 50598, 51464, 50841, 51532, 59476, 52825, 50828, 55491, 50961, 62102, 51041, 52844, 50945, 54451, 51010, 50434, 52112, 50437, 57221, 51057, 51186, 60096, 53111, 70426, 51762, 62999, 68159, 52825, 50841, 55491, 50883, 62102, 51135, 60161, 51186, 50821, 52825, 50864, 62102, 50840, 55491, 51187, 54446, 50798, 51066, 50425, 52834, 51464, 53855, 51011, 50923, 51553, 64262, 51509, 50817, 51713, 62938, 51956, 50429, 51509, 50827, 51713, 52984, 50578, 62941, 52825, 50813, 55491, 50961, 62102, 51135, 64572, 53917, 60357, 51579, 50821, 51776, 62500, 52336, 51033, 52366, 51033, 51326, 50886, 52008, 50437, 50913, 50834, 51057, 59133, 52067, 51352, 52002, 51352, 51206, 51670, 51138, 50419, 50791, 56621, 54010, 50880, 52825, 50820, 57463, 60480, 73515, 50945, 53871, 56519, 51133, 52633, 74811, 54494, 50811, 51532, 59476, 50791, 52209, 51133, 50894, 52825, 50841, 54010, 50883, 57463, 54749, 51010, 50434, 52105, 51057, 50945, 54444, 52245, 54366, 51030, 51402, 53227, 52825, 50841, 54010, 50883, 57463, 51239, 60161, 52825, 50837, 54010, 50862, 57463, 54316, 50945, 52816, 51052, 52437, 51509, 50961, 51713, 51139, 53889, 50926, 50599, 55477, 51133, 60579, 51509, 50844, 51713, 50844, 51762, 50431, 52067, 50950, 52825, 50834, 54010, 50890, 57463, 50895, 52002, 56896, 51133, 51864, 54749, 56861, 52629, 50810, 52306, 50810, 51556, 58694, 53954, 50914, 52991, 50914, 51057, 51186, 57036, 53099, 54534, 51138, 69884, 52825, 50834, 55491, 50809, 62102, 51179, 53744, 51186, 52675, 54749, 54856, 67518, 52336, 51157, 52366, 51157, 53867, 50862, 52093, 77627, 50811, 51532, 52927, 50945, 50930, 52825, 50839, 55491, 50895, 62102, 51179, 52816, 75964, 50846, 51057, 51186, 51033, 51509, 51235, 51713, 72706, 63724, 50867, 70561, 70486, 53576, 52825, 50841, 55491, 50818, 62102, 51044, 56818, 51186, 50800, 52825, 50863, 55491, 50839, 62102, 75090, 54739, 57615, 51509, 50884, 51713, 53150, 51011, 51030, 52834, 51464, 61749, 50816, 61347, 51509, 50844, 51713, 50844, 51532, 56999, 65082, 51579, 50800, 52825, 50834, 55491, 50895, 62102, 50884, 51776, 51628, 61246, 67725, 52336, 50800, 52366, 77993, 59653, 76976, 52067, 50930, 52002, 50930, 51057, 50913, 55234, 57036, 75179, 63244, 52067, 50880, 52002, 54658, 52825, 50839, 54010, 50883, 57463, 51135, 56493, 50945, 51044, 55795, 57221, 50425, 50964, 50385, 53830, 52762, 52067, 50859, 52002, 54015, 51156, 71362, 51579, 50808, 51776, 50808, 51532, 60426, 50964, 50890, 52067, 50955, 52002, 56879, 52975, 52825, 50839, 54010, 50883, 57463, 54749, 57485, 51579, 50844, 51776, 50844, 52105, 50437, 50945, 51021, 51057, 51509, 51427, 51713, 51427, 50913, 54220, 55130, 51138, 51402, 63094, 52825, 50841, 54010, 50883, 57463, 51135, 56818, 50945, 52923, 51052, 57550, 51133, 57480, 51509, 50884, 51713, 50383, 53290, 53831, 51156, 56499, 51509, 50810, 51713, 51373, 59483, 77855, 51579, 50837, 52067, 50844, 51776, 50837, 52002, 50844, 66987, 52726, 52825, 50841, 54010, 50961, 57463, 60063, 52629, 50925, 52306, 50925, 51762, 50437, 52336, 52195, 52366, 52195, 50913, 50864, 51057, 51186, 60909, 52715, 73628, 63244, 51956, 50420, 52825, 50834, 55491, 50818, 62102, 61710, 51186, 52675, 53423, 50798, 50882, 50425, 50945, 50384, 53830, 50825, 51694, 51156, 56499, 51468, 50431, 50945, 54334, 52825, 50839, 55491, 50884, 62102, 53871, 50962, 68329, 51468, 50437, 51186, 51010, 51057, 52336, 50817, 52366, 52220, 53607, 50904, 51931, 51402, 54946, 52244, 51186, 50855, 52336, 51010, 52825, 50841, 55491, 50818, 62102, 50818, 52366, 52853, 51258, 50422, 50945, 56731, 51509, 79256, 51730, 50975, 56457, 51271, 51010, 53954, 51014, 52991, 63637, 60401, 51916, 50828, 73508, 52825, 50839, 55491, 50884, 62102, 51044, 50841, 51057, 51186, 57277, 51030, 50913, 66182, 52825, 50829, 55491, 50828, 62102, 57987, 50791, 56493, 51186, 55234, 80048, 50945, 51421, 52992, 52834, 56061, 54935, 51471, 50431, 50945, 51730, 56896, 52825, 50834, 55491, 50846, 62102, 51187, 50884, 51556, 50846, 51057, 51186, 51100, 50913, 55234, 52516, 73486, 63094, 52825, 50820, 55491, 50818, 62102, 59335, 60170, 51186, 53071, 50950, 51510, 55800, 51011, 57438, 50926, 50598, 55316, 50884, 51532, 62357, 58918, 52825, 50839, 55491, 50895, 62102, 78956, 54739, 50930, 51556, 50841, 51057, 59133, 50913, 54438, 55968, 73486, 52432, 52825, 50839, 54010, 50818, 57463, 51239, 56493, 50945, 53852, 50894, 51510, 55800, 50964, 64406, 55164, 51156, 50884, 51532, 62357, 50964, 53974, 52825, 50820, 54010, 50818, 57463, 53756, 52853, 73939, 50818, 51057, 50945, 66149, 54438, 51033, 52112, 51402 ]

[ 0, 250, 15352, 30054, 8, 20425, 3152, 8, 3495, 2214, 4246, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 83, 3694, 19, 10, 20902, 27841, 139, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 1372, 8, 17627, 17274, 6711, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 67004, 50432, 51214, 51101, 51026, 59238, 52090, 66587, 50860, 51570, 52510, 51247, 51619, 50297, 51192, 50900, 50795, 51069, 55195, 66888, 58317, 50964, 62620, 51120, 50991, 51027, 50991, 50927, 54209, 59739, 50823, 58359, 51894, 50927, 53561, 51120, 51884, 51027, 52188, 50847, 51603, 50935, 66808, 51085, 53835, 60406, 55886, 53974, 51120, 50955, 51027, 51210, 50872, 54014, 60087, 50948, 50927, 68361, 55188, 54811, 51120, 51712, 50301, 56144, 55125, 50848, 61174, 57432, 55188, 63695, 51120, 51328, 51027, 51328, 50872, 51274, 58359, 51419, 50927, 68078, 54589, 51505, 68260, 52059, 51027, 51642, 57189, 55998, 57710, 54589, 52030, 51120, 73387, 51242, 50946, 54137, 65998, 50927, 68539, 54589, 66066, 51120, 51328, 51027, 51328, 50848, 52201, 53083, 50798, 57432, 55188, 62620, 51120, 73387, 51775, 50848, 50893, 50927, 50941, 51249, 51467, 56569, 51672, 50862, 53997, 51058, 50927, 51241, 51327, 52221, 54589, 51045, 68260, 51712, 50301, 57769, 51566, 50935, 66808, 51672, 55998, 57432, 55188, 57943, 51120, 51242, 51027, 51328, 59305, 50438, 50847, 58778, 50849, 50927, 51241, 51249, 54035, 55188, 51505, 50444, 51120, 51111, 51027, 51191, 50872, 50901, 51672, 54988, 51085, 57053, 58878, 57710, 54589, 52325, 51120, 50904, 50872, 51685, 54734, 51391, 51050, 51346, 50900, 51351, 50945, 78707, 54589, 50823, 51039, 53855, 51050, 53351, 57432, 55188, 68981, 51214, 51310, 51026, 51112, 50899, 51227, 75649, 51450, 54589, 52284, 51026, 51221, 50899, 51255, 50953, 63490, 53886, 50798, 57432, 55188, 52163, 51120, 51100, 51027, 51101, 50964, 51174, 50852, 50936, 52288, 73202, 55188, 51014, 68260, 51853, 50301, 57769, 51454, 50935, 57191, 50840, 52389, 57710, 54589, 54684, 51120, 51328, 51027, 51423, 50872, 58346, 50847, 50879, 50927, 68591, 54589, 52313, 51120, 69792, 51328, 50872, 65295, 51085, 50827, 50848, 57277, 57432, 55188, 58954, 51120, 50959, 51027, 50933, 50872, 51274, 54868, 73387, 52059, 50927, 68591, 54589, 50823, 51039, 52437, 51120, 52415, 50301, 51051, 77363, 50798, 57432, 55188, 54179, 50946, 57154, 53574, 51120, 51423, 51027, 51309, 61781, 50927, 68432, 54589, 55380, 50848, 51370, 53886, 51120, 73387, 56777, 57432, 55188, 55273, 50848, 51167, 51303, 50936, 54868, 50820, 51027, 50829, 50927, 51310, 51719, 56777, 54589, 55573, 51120, 50908, 51027, 50908, 72252, 56206, 76931, 51249, 54504, 51120, 50841, 51027, 50841, 51672, 55548, 57432, 55188, 54179, 51120, 51954, 50301, 50904, 50848, 51060, 71325, 51249, 54927, 51120, 78493, 50857, 50927, 51749, 51327, 55195, 55188, 56059, 51120, 50822, 51027, 50822, 50885, 50893, 51672, 55593, 53886, 51120, 51008, 51027, 53197, 57432, 55188, 54178, 51120, 73614, 63815, 64182, 50840, 54868, 50894, 51027, 50894, 50927, 51749, 58130, 51045, 68260, 51014, 51027, 51014, 50988, 73651, 50930, 52389, 51779, 52493, 54334, 51214, 71115, 77506, 67933, 52090, 54078, 56034, 59266, 51164, 50938, 51443, 66646, 52279, 52625, 56843, 51214, 51212, 51026, 51033, 50899, 50936, 51171, 58610, 52279, 52625, 52768, 51247, 51619, 50297, 51060, 50900, 51501, 50292, 54070, 52279, 52625, 52884, 51171, 57564, 52279, 52625, 51010, 58359, 51397, 51120, 50991, 51027, 51116, 51171, 51423, 50946, 51337, 50927, 55580, 50976, 51206, 51973, 51042, 50952, 50927, 55580, 57710, 54589, 68981, 51120, 51242, 51027, 51681, 50294, 55918, 53813, 51799, 51212, 50946, 50873, 50927, 54209, 54589, 52284, 51120, 68589, 76026, 53340, 53886, 51799, 51749, 51171, 50886, 50927, 55580, 57710, 54589, 52163, 51120, 52415, 50301, 51412, 77124, 52093, 53997, 50933, 51171, 50995, 50927, 55195, 55188, 55573, 51120, 51712, 50301, 74620, 56879, 53425, 51799, 51534, 77301, 50927, 54209, 57710, 55188, 54179, 51120, 51712, 50301, 51766, 50294, 53065, 53574, 51799, 51337, 77934, 50927, 55195, 54589, 55380, 51120, 51712, 50301, 76026, 53156, 53886, 51799, 51803, 50927, 55580, 57710, 54589, 52163, 51120, 63663, 51203, 50946, 51255, 51171, 67425, 50840, 53997, 50978, 71654, 54589, 52244, 51120, 51328, 51027, 51753, 50946, 55690, 53548, 51042, 78659, 54209, 57710, 54589, 52119, 51120, 69792, 51242, 51171, 51419, 50791, 53574, 51799, 51233, 70044, 71654, 54589, 55380, 51120, 51194, 51027, 51134, 51042, 54447, 53886, 51799, 51411, 50927, 51599, 57432, 55188, 54178, 51120, 61509, 50840, 54734, 51233, 51164, 50866, 50885, 50940, 50945, 51599, 78975, 51653, 60284, 58035, 51101, 50927, 54149, 51247, 57245, 50865, 51164, 50810, 50945, 51599, 58163, 56896, 51214, 51351, 51026, 65610, 51227, 50988, 51351, 50848, 51294, 50953, 57044, 66888, 63523, 51026, 60318, 59810, 54411, 51214, 74812, 57710, 54589, 54178, 51120, 51212, 51027, 51411, 52540, 51328, 51396, 50845, 50964, 51508, 50809, 58359, 51741, 50292, 50810, 51171, 51380, 50946, 51008, 50927, 55580, 54589, 51045, 68260, 52169, 50301, 69207, 53425, 51042, 50858, 50927, 51599, 57710, 54589, 54179, 51120, 51328, 51027, 51328, 51171, 51542, 50791, 54431, 51799, 51194, 64178, 50927, 55195, 54589, 55380, 51120, 51328, 51027, 51328, 51042, 53340, 53688, 51799, 51411, 50927, 55580, 57710, 54589, 54178, 51120, 52415, 50301, 51203, 51171, 51535, 50946, 66009, 50836, 58359, 51310, 51085, 51058, 50927, 54209, 54589, 55573, 51120, 68589, 52312, 50301, 55966, 53548, 77301, 50927, 55580, 57710, 54589, 54179, 51120, 69792, 51242, 51171, 51637, 50791, 53894, 51799, 51312, 50946, 50892, 50927, 55195, 55188, 55380, 51120, 73387, 76026, 51373, 53688, 51799, 51183, 50927, 54168, 57710, 54589, 54178, 51120, 73387, 51423, 51506, 75124, 50836, 53997, 50933, 51171, 51134, 62081, 50927, 55580, 54589, 55573, 51120, 69792, 61729, 61509, 53425, 68690, 50927, 51599, 57710, 54589, 54179, 51120, 51212, 51027, 51242, 51171, 51542, 50791, 53574, 51799, 51221, 70044, 50927, 55580, 54589, 55380, 51120, 71942, 64288, 50844, 57491, 51799, 51535, 50927, 51599, 57432, 55188, 54178, 51120, 72136, 51351, 51171, 51370, 50840, 53997, 51328, 51171, 60884, 50849, 50927, 52466, 55188, 52244, 51120, 50874, 51332, 51862, 50964, 52865, 55601, 50887, 53327, 53906, 51799, 61729, 50928, 51171, 50870, 50927, 58163, 52927, 51214, 51233, 51026, 73280, 73722, 69855, 50858, 50953, 51520, 55469, 56059, 51247, 51312, 51050, 73725, 58239, 51345, 51164, 51227, 50945, 55311, 52319, 55273, 51120, 51286, 51027, 51343, 51171, 51310, 50946, 51025, 64505, 51072, 51206, 50803, 58359, 51397, 51085, 50866, 50927, 65061, 51120, 59467, 58192, 51042, 58791, 55580, 57432, 54589, 52119, 51120, 69792, 51681, 50294, 52441, 50791, 53574, 51799, 51480, 50946, 50845, 50927, 54209, 54589, 57565, 51120, 51712, 50301, 76026, 53111, 53938, 51799, 51199, 50927, 55580, 57710, 54589, 54178, 51120, 51828, 50301, 51110, 51171, 51562, 50946, 59330, 50836, 53997, 51058, 50927, 55195, 51331, 55573, 51120, 69792, 67305, 56835, 53548, 51799, 51412, 70750, 50927, 54209, 57710, 54589, 52119, 51120, 52169, 50301, 51058, 51171, 51637, 50791, 53574, 51799, 51309, 50946, 50974, 50927, 55195, 54589, 77762, 51120, 51712, 50301, 76026, 53199, 53886, 51799, 51749, 50927, 55580, 57710, 54589, 54178, 51120, 72136, 51110, 51171, 51318, 50946, 51189, 52385, 53997, 50838, 71654, 54589, 52244, 51120, 73387, 59074, 53548, 51799, 51412, 51042, 78659, 54209, 57710, 54589, 54179, 51120, 73387, 51681, 50294, 51965, 50791, 54431, 51799, 51337 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 19834, 6, 4246, 10, 13305, 8, 24896, 6, 278, 11, 10, 1769, 27841, 139, 20889, 8, 41, 18186, 112, 73, 306, 86, 6543, 4, 20, 2214, 16, 11, 5, 762, 9, 274, 538, 8, 24536, 10, 33215, 16739, 9, 274, 6, 163, 428, 401, 6, 83, 6, 163, 43531, 1176, 406, 6, 8, 230, 4, 85, 7630, 6568, 10, 19448, 8, 15352, 30054, 5466, 6, 10686, 13, 10, 822, 6, 8, 34, 10, 11602, 9, 11098, 8, 9884, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50640, 52274, 52274, 52274, 52552, 50906, 52460, 50423, 71089, 54838, 50902, 52454, 50302, 51447, 50871, 52916, 50906, 52140, 60718, 51466, 63809, 53164, 50318, 67303, 50931, 53164, 50299, 51703, 50861, 51703, 50462, 50906, 51466, 50474, 51197, 53164, 50311, 54590, 50313, 54590, 50316, 51330, 54838, 51120, 52431, 50989, 52916, 50877, 52916, 50902, 52140, 63932, 53164, 50299, 52916, 50871, 54573, 50973, 52431, 50462, 51028, 51333, 50474, 50902, 51108, 54838, 50965, 70713, 60700, 51741, 50292, 51148, 54439, 78181, 52845, 50319, 54498, 51197, 53164, 50307, 54590, 50311, 61637, 50956, 60667, 50313, 54590, 50297, 55776, 50462, 50871, 53577, 50877, 53577, 50902, 51965, 50480, 50956, 79124, 76830, 51079, 54662, 51922, 50899, 52503, 50906, 51671, 51057, 52315, 51637, 50432, 51752, 50972, 54838, 51596, 71117, 51447, 55961, 58309, 51596, 64897, 57123, 50902, 58087, 51596, 64897, 52511, 50301, 51466, 57428, 59914, 51606, 52026, 50299, 51703, 72786, 51166, 50462, 52315, 64897, 51166, 50468, 50902, 51166, 50474, 51752, 64897, 52511, 50295, 51466, 50480, 50861, 51166, 54838, 51596, 51592, 51120, 52431, 69724, 51166, 56207, 57123, 50902, 58087, 50877, 62523, 50989, 51166, 56279, 51703, 50456, 50989, 51166, 50462, 51596, 65186, 51166, 50468, 50902, 51166, 50474, 51596, 65186, 75138, 52011, 50480, 50989, 51166, 54838, 51596, 71117, 51447, 55902, 58309, 52671, 64897, 57123, 50902, 58087, 51596, 64897, 77885, 51466, 58365, 59914, 51606, 52026, 50295, 51703, 72786, 51166, 50462, 52161, 64897, 51166, 50468, 50902, 51166, 50474, 51596, 64897, 52511, 50292, 51466, 50480, 50861, 51166, 54838, 51752, 51592, 51050, 51447, 55961, 51166, 56207, 57123, 50876, 58087, 50877, 51166, 57428, 59914, 51027, 52440, 50456, 50871, 51074, 50462, 51606, 59391, 51074, 50468, 51001, 51074, 50474, 51606, 59391, 51074, 50480, 50871, 51079, 54838, 51606, 78389, 51703, 55961, 58069, 51827, 62542, 56427, 50902, 54938, 51565, 71323, 51853, 50295, 51333, 58365, 55437, 51606, 51734, 50294, 51447, 50456, 50965, 50838, 50462, 52315, 51218, 50906, 50838, 50468, 50902, 50838, 50474, 50931, 50838, 50480, 52251, 59292, 50974, 54838, 51565, 51103, 51197, 51592, 55902, 56307, 50906, 55544, 51001, 54137, 50906, 55103, 50861, 54323, 51686, 51314, 51315, 51692, 72786, 50905, 50462, 50906, 50905, 50468, 50876, 50905, 50474, 51565, 64897, 50905, 50480, 50861, 50905, 54838, 51606, 71445, 64815, 58194, 60006, 68988, 52315, 52026, 50299, 65227, 57937, 52161, 52026, 50298, 57991, 51596, 52026, 50297, 53164, 50306, 54590, 50309, 54590, 50314, 51330, 50462, 53124, 51637, 50480, 51752, 51853, 50285, 52511, 50307, 78068, 79124, 51079, 54838, 52315, 51592, 51234, 51671, 50899, 51922, 50871, 51922, 50906, 51449, 50462, 51596, 51108, 50474, 51596, 51108, 54838, 51596, 51517, 50292, 52431, 53502, 58309, 51752, 64636, 57123, 50877, 58087, 51606, 64636, 51166, 55513, 59914, 51789, 52026, 50292, 52916, 72407, 51166, 50462, 51606, 63821, 51166, 50468, 50906, 51166, 50474, 51565, 68186, 51166, 50480, 50900, 51166, 54838, 51686, 51080, 51050, 51447, 53502, 51166, 53645, 57123, 50877, 51166, 57019, 51166, 55513, 59914, 51686, 51314, 51378, 51703, 50456, 50956, 51166, 50462, 50877, 51166, 50468, 50876, 51166, 50474, 51686, 65186, 51166, 50480, 50956, 51166, 54838, 51686, 71169, 51447, 54569, 58309, 51827, 63821, 57123, 50906, 58087, 51596, 63821, 52511, 50290, 51466, 55989, 59914, 51789, 52026, 50292, 51703, 72407, 51166, 50462, 51686, 51637, 50861, 51166, 50468, 50906, 51166, 50474, 50916, 52511, 50292, 51466, 50480, 51565, 69476, 51166, 54838, 51606, 51080, 51050, 51447, 53502, 51166, 53645, 57123, 50877, 51166, 57019, 51166, 55513, 59914, 51606, 51314, 51027, 51703, 72407, 51166, 50462, 50871, 51166, 50468, 50876, 51166, 50474, 52161, 64636, 51166, 50480, 50900, 51166, 54838, 51596, 71117, 52431, 54569, 58309, 52671, 64636, 57123, 50906, 58087, 51596, 64636, 51166, 55513, 59914, 51606, 52026, 50299, 51703, 71136, 51166, 50462, 52315, 63821, 51166, 50468, 50906, 51166, 50474, 51752, 65186, 52511, 50295, 54590, 50301, 51330, 50480, 50861, 51166, 54838, 51596, 51080, 51120, 51703, 50899, 51314, 50989, 51703, 50877, 51314, 50450, 51752, 51734, 50295, 51244, 50900, 51314, 50861, 51314, 50876, 51148, 50462, 51686, 51295, 50480, 51565, 51458, 50296, 51712, 50305, 62543, 65273, 50905, 54838, 51606, 51800, 50297, 67119, 58194, 60006, 68537, 52315, 51218, 50956, 52019, 50299, 51477, 50444, 52161, 51458, 50298, 56697, 51596, 78167, 70276, 64636, 64897, 50995, 50462, 53124, 51218, 50480, 51752, 51458, 50285, 60420, 60912, 60242, 50905, 50799, 52315, 51359, 51234, 51445, 50899, 51449, 50871, 51449, 50906, 51313, 51057, 50906, 51477, 59409, 50838, 54838, 50902, 64307, 51148, 80242, 50997, 53487, 50426, 51081, 54498, 50999, 63784, 52019, 50317, 61112, 50951, 52985, 50902, 67120, 60367, 51244, 50462, 50906, 51097, 50474, 50899, 66412, 52026, 50324, 50995, 54838, 51197, 51592, 50956, 51422, 50906, 51592, 50951, 51422, 50450, 50999, 51145, 51315, 52140, 51040, 51662, 50906, 51939, 50474, 50951, 51097, 54838, 51050, 63030, 60006, 60700, 55382, 51026, 75865, 63211, 57937, 51378, 52026, 50302, 63211, 75939, 50995, 56415, 66412, 70062, 51244, 51050, 51939, 50462, 50916, 61087, 51097, 50474, 50956, 65186, 78181, 50932, 54662, 51445, 50899, 51449, 50906, 51313, 51057, 51723, 51637, 50432, 51431, 50972, 54838, 51485, 71117, 51447, 55961, 58309, 51485, 64897, 57123, 50902, 58087, 51485, 64897, 52511, 50301, 51466, 57428, 59914, 51509, 52026, 50299, 51703, 72786, 51166, 50462, 51723, 64897, 51166, 50468, 50902, 51166, 50474, 51431, 64897, 52511, 50295, 51466, 50480, 50861, 51166, 54838, 51485, 51592, 51120, 52431, 69724, 51166, 56207, 57123, 50902, 58087, 50877, 62523, 50989, 51166, 56279, 51703, 50456, 50989, 51166, 50462, 51485, 65186, 51166, 50468, 50902, 51166, 50474, 51485, 65186, 75138, 52011, 50480, 50989, 51166, 54838, 51485, 71117, 51447, 55902, 58309, 52061, 64897, 57123, 50902, 58087, 51485, 64897, 77885, 51466, 58365, 59914, 51509, 52026, 50295, 51703, 72786, 51166, 50462, 51641, 64897, 51166, 50468, 50902, 51166, 50474, 51485, 64897, 52511, 50292, 51466, 50480, 50861, 51166, 54838, 51431, 51592, 51050, 51447, 55961, 51166, 56207, 57123, 50876, 58087, 50877, 51166, 57428, 59914, 51027, 52440, 50456, 50871, 51074, 50462, 51509, 59391, 51074, 50468, 51001, 51074, 50474, 51509, 59391, 51074, 50480, 50871, 51079, 54838, 51509, 78389, 51703, 55961, 58069, 52336, 62542, 56427, 50902, 54938, 51579, 71323, 51853, 50295, 51333, 58365, 55437, 51509, 51734, 50294, 51447, 50456, 50965, 50838, 50462, 51723, 51218, 50906, 50838, 50468, 50902, 50838, 50474, 50931, 50838, 50480, 52264, 59292, 50974, 54838, 51579, 51103, 51197, 51592, 55902, 56307, 50906, 55544, 51001, 54137, 50906, 55103, 50861, 54323, 52067, 51314, 51315, 51692, 72786, 50905, 50462, 50906, 50905, 50468, 50876, 50905, 50474, 51579, 64897, 50905, 50480, 50861, 50905, 54838, 51509, 71445, 64815, 58194, 60006, 68988, 51723, 52026, 50299, 65227, 57937, 51641, 52026, 50298, 57991, 51485, 52026, 50297, 53164, 50306, 54590, 50309, 54590, 50314, 51330, 50462, 52334, 51637, 50480, 51431, 51853, 50285, 52511, 50307, 78068, 79124, 51079, 54838, 51723, 51592, 51234, 51671, 50899 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 13305, 6, 23338, 33518, 1264, 6, 1076, 560, 31365, 25999, 6, 81, 9756, 8669, 6, 8, 6755, 12547, 4, 20, 2125, 16, 11, 83, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 20, 33215, 16739, 1171, 230, 10431, 406, 6, 274, 10431, 406, 6, 274, 10431, 119, 406, 6, 8, 163, 406, 6, 2351, 10, 8728, 8, 19448, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 50437, 51719, 52149, 51249, 52149, 66417, 52570, 51410, 52149, 51273, 51795, 51479, 53442, 54091, 53082, 52213, 53454, 54598, 50839, 53148, 55856, 51251, 55856, 51113, 55856, 50439, 54598, 52045, 50446, 51471, 50454, 51983, 50461, 51188, 50825, 50799, 51856, 58257, 54201, 54412, 57829, 51404, 65533, 51497, 56127, 51823, 51172, 50422, 51323, 50933, 51956, 50430, 51273, 50849, 52455, 61193, 51746, 66090, 51593, 50827, 51273, 51184, 51479, 54704, 51746, 59692, 51839, 50825, 51323, 64043, 51746, 51833, 62749, 51746, 51680, 50455, 51471, 50461, 52861, 50887, 51601, 54091, 51116, 54598, 51203, 50416, 50903, 53850, 54412, 56828, 52213, 51110, 50424, 54091, 52482, 54598, 51178, 51471, 50431, 52721, 52821, 50432, 54091, 51194, 51960, 50440, 52861, 50820, 51303, 51307, 51249, 51307, 66417, 52570, 51410, 51307, 51251, 55856, 51113, 55856, 50441, 54091, 53454, 52213, 53090, 51154, 55856, 51273, 51795, 51479, 58321, 51983, 50457, 51471, 51809, 51347, 50825, 51943, 56127, 51188, 54528, 54412, 66261, 77459, 51856, 61732, 51404, 52944, 51497, 52688, 51323, 50827, 51762, 50434, 51746, 50827, 51273, 50849, 52166, 56432, 51593, 70430, 51410, 51307, 51303, 51591, 51249, 51191, 51273, 51795, 51479, 59224, 51746, 56197, 51323, 50933, 52320, 52465, 69232, 51323, 50825, 51746, 51680, 50457, 51249, 51486, 50459, 51468, 52478, 52861, 51238, 54091, 50846, 54091, 51412, 50419, 50804, 50364, 51502, 51139, 55800, 52213, 51110, 51303, 51295, 50427, 52861, 51158, 51287, 50797, 56446, 52721, 51194, 54091, 53908, 54091, 51124, 52419, 50901, 51960, 50442, 54227, 52045, 50443, 52213, 53259, 51301, 51004, 51113, 54406, 51465, 52149, 55390, 52570, 52102, 52149, 51249, 52149, 51794, 51004, 51794, 55856, 51301, 55856, 51113, 55856, 52419, 51795, 51479, 63317, 51471, 50460, 51983, 52478, 51323, 52944, 51839, 50825, 51746, 58257, 51031, 50421, 51593, 54528, 54412, 60480, 52232, 67012, 51770, 51006, 51956, 50437, 52400, 50827, 52419, 50849, 52455, 60479, 51940, 50933, 52419, 51184, 51479, 56038, 52400, 53996, 51770, 65415, 52400, 50825, 52400, 51627, 51842, 50799, 51471, 50419, 65959, 50982, 65359, 51297, 63976, 54475, 54786, 50840, 59403, 57987, 59403, 51162, 50422, 50903, 53850, 54412, 57469, 51770, 51277, 54227, 61799, 51471, 50431, 54227, 50795, 50436, 52400, 53945, 52400, 50827, 54598, 50846, 54598, 51255, 51960, 50446, 51478, 50864, 54227, 51362, 53037, 51290, 50447, 53824, 51253, 52571, 51103, 51651, 51103, 66165, 51196, 51465, 51103, 51357, 53055, 51301, 53055, 52316, 53055, 51493, 51009, 51479, 58321, 52856, 57723, 51770, 50932, 50455, 51983, 50461, 52856, 50825, 50799, 53037, 50991, 54227, 51215, 50415, 52232, 50825, 51478, 51833, 64301, 52856, 50825, 53824, 67943, 51770, 56909, 52400, 51419, 54598, 51077, 54091, 51362, 50424, 52856, 50825, 51478, 51283, 51719, 51413, 51249, 51413, 66417, 51196, 51410, 51413, 51251, 53055, 51113, 53055, 53148, 53055, 51273, 51059, 50903, 53850, 54412, 79506, 62047, 54091, 51116, 51273, 50849, 52166, 60852, 51839, 50825, 51746, 50825, 59403, 51013, 54227, 50795, 56397, 51196, 51794, 53055, 51375, 53055, 51301, 53055, 58074, 50449, 52102, 51103, 51465, 51103, 51651, 51191, 52318, 51009, 59207, 51593, 50825, 51770, 51480, 50451, 52232, 51484, 50457, 51983, 50461, 51593, 50825, 51809, 59403, 50991, 51651, 51124, 50417, 51839, 50825, 51746, 50825, 54227, 50991, 51468, 50418, 51593, 50825, 51770, 50978, 50419, 52232, 51006, 50424, 51593, 50825, 63976, 51362, 50425, 51478, 51419, 51746, 51283, 54091, 50918, 51719, 51103, 52571, 51103, 51410, 50897, 57081, 51285, 51491, 53055, 51357, 53055, 52659, 63398, 51251, 53055, 50903, 53850, 54412, 72090, 51410, 51295, 51468, 50434, 51468, 50440, 63976, 51124, 50442, 65573, 50901, 51960, 50449, 59403, 56300, 54103, 51454, 50450, 51323, 51243, 52232, 51313, 65359, 54300, 55390, 51469, 52102, 51307, 51465, 51307, 51249, 51307, 51301, 53678, 52419, 51795, 51479, 57150, 51794, 53678, 51113, 53678, 50458, 51471, 51601, 54103, 53601, 50419, 51983, 71750, 54201, 54412, 50884, 51556, 60862, 52419, 50849, 52455, 70738, 52102, 51307, 51303, 51307, 55390, 51469, 51249, 51307, 51794, 53678, 51154, 53678, 51113, 53678, 52419, 51184, 51479, 58077, 51842, 50796, 51039, 54956, 50903, 53850, 54412, 71150, 51471, 50445, 51960, 50453, 51719, 51307, 51249, 51307, 66417, 51469, 51410, 51307, 51113, 53678, 53148, 53678, 51251, 53678, 50454, 51273, 51795, 51479, 55971, 51983, 56020, 51471, 50429, 54091, 54143, 55822, 51158, 57096, 54412, 66261, 59873, 55066, 51364, 50437, 54598, 51642, 50439, 51762, 50445, 52213, 51194, 50447, 51273, 50849, 52166, 61634, 52861, 51714, 52721, 51692, 66417, 51469, 51410, 51307, 51303, 51591, 51249, 51191, 51113, 53678, 51251, 53678, 51154, 53678, 51273, 51795, 51479, 50834, 51601, 51983, 50422, 51249, 51486, 50424, 60945, 50804, 50364, 51502, 51139, 60032, 51303, 51295, 55822, 51388, 50440, 51287, 50797, 56453, 55066, 51158, 50448, 52419, 50901, 51960, 50455, 54103, 52017, 50456, 65359, 55086, 52419, 51795, 50457, 52102, 51307, 51465, 51307, 55390, 51469, 51249, 51307, 51794, 53678, 51301, 53678, 51113, 53678, 51479, 50846, 71349, 56982, 51983, 50433, 50903, 54201, 54412, 57681, 63976, 51043, 50442, 51956, 50449, 54786, 51534, 50450, 52419, 50849, 52455, 58958, 59403, 51714, 51303, 51307, 51651, 51307, 56397, 51469, 52571, 51307, 51375, 53678, 51154, 53678, 51357, 53678, 50459, 52318, 51184, 51479, 50820, 53069, 51842, 50427, 72387, 50903, 53850, 54412, 59120, 54103, 51496, 50443, 51190, 50797, 57136, 51960, 50459, 54598, 52015, 63701, 51790, 50460, 52303, 51307, 52102, 51307, 65047, 52570, 51465, 51307, 51794, 55856, 51638, 55856, 51301, 55856, 65573, 51795, 51479, 50820, 50796, 51039, 74031, 51471, 55935, 54412, 73957, 50903, 71309, 51762, 50452, 52387, 51238, 50453, 65573, 50849, 52166, 61824, 54598, 62959, 52303, 51591, 51465, 51307, 65573, 51795, 58074, 79480, 51191, 51931, 50422, 51983, 50429, 54598, 51095, 52102, 51486, 50430, 51468, 50437, 54227, 52599, 50804, 50364, 51502, 51139, 63281, 52303, 51295, 67115, 51468, 50454, 54227, 51215, 50455, 52318, 50901, 51960, 50799, 55458, 52024, 63976, 52250, 50415, 51687, 52149, 51719, 52149, 57081, 52570, 51249, 52149, 51426, 55856, 51491, 55856, 51113, 55856, 52659, 51795, 51479, 54579, 51471, 51361, 65004, 63701, 51215, 50440, 50903, 54201, 54412, 55888, 55066, 51116, 50448, 51956, 50455, 55822, 51238, 50456, 52659, 50849, 52455, 50863, 52177, 52659, 51184, 51479, 50820, 55066, 51141, 50425, 51842, 50433, 51471, 50442, 50903, 53850, 54412, 58017, 54103, 55149, 61014, 54103, 51048, 50458, 51960, 52478, 52659, 51795, 51479, 59346, 55822, 55797, 55066, 50978, 51544, 68713, 63701, 51991, 50435, 51471, 62177, 54412, 66261, 60376, 73148, 52659, 50849, 50460, 52166, 50870, 52591, 51687, 51591, 51249, 51307, 51719, 51191, 52659, 51795, 51479, 64561, 78499, 51719, 51486, 50437, 51468, 64614, 50364, 51502, 51139, 79857, 51687, 51295, 63701, 51158, 50453, 51287, 50797, 59025, 55066, 78123, 65573, 50901, 51960, 52591, 54103, 50977, 50421, 51410, 52149, 51719, 52149, 52659, 51795, 50422, 57081, 52570, 51249, 52149, 51251, 55856, 51491, 55856, 51113, 55856, 51479, 59971, 51471, 51570, 60402, 50903, 54201, 54412, 63318, 51956, 51601, 52659 ]

[ 0, 250, 5386, 19834, 2125, 11, 83, 3694, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 326, 5638, 18026, 6, 15679, 642, 1543, 6, 8, 32909, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 41, 9066, 8, 25306, 5466, 6, 1969, 13, 814, 12, 21330, 5422, 11, 3541, 4, 20, 33215, 16739, 9, 274, 119, 1176, 406, 6, 272, 119, 1176, 406, 6, 274, 119, 1176, 406, 6, 8, 381, 3639, 7, 5, 2933, 8, 31803, 2650, 6711, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 55308, 51036, 55117, 50941, 55471, 50371, 55913, 51319, 55679, 71718, 55117, 50835, 55471, 50374, 52852, 51004, 50416, 51525, 51319, 50417, 55117, 50863, 55471, 66478, 51525, 77940, 55117, 50863, 55471, 50371, 52852, 51319, 50421, 55117, 50870, 55471, 50370, 52852, 73435, 55117, 50982, 55471, 77811, 62021, 55117, 50863, 55471, 50863, 55117, 50837, 55471, 61599, 51525, 50365, 52852, 70297, 55117, 50904, 55471, 54317, 51525, 51004, 50427, 55117, 50837, 55471, 50372, 52852, 75181, 55117, 50891, 55471, 50369, 52852, 70813, 55117, 50863, 55471, 61938, 51525, 66775, 55117, 50825, 55471, 50373, 52852, 51297, 50433, 55117, 50864, 55471, 50373, 55913, 65627, 55117, 50825, 55471, 50373, 52852, 51297, 50436, 55117, 50825, 55471, 50373, 52852, 77811, 61562, 55117, 50837, 55471, 52896, 55117, 50825, 55471, 50373, 52852, 78565, 55117, 50891, 55471, 50369, 52852, 50982, 50440, 51525, 51297, 50441, 55117, 50863, 55471, 60795, 55117, 50825, 55471, 50373, 52852, 65112, 55117, 50825, 55471, 50373, 52852, 51297, 50445, 55117, 50908, 55471, 50368, 52852, 67394, 55117, 50863, 55471, 50371, 52852, 67676, 55117, 50837, 55471, 62749, 51525, 67712, 62849, 55117, 50825, 55471, 52743, 55117, 50825, 55471, 50373, 52852, 76595, 51525, 78014, 55117, 50837, 55471, 50372, 52852, 51128, 50453, 55117, 50863, 55471, 60535, 51525, 63543, 55117, 50904, 55471, 50372, 55913, 60272, 55117, 50837, 55471, 59044, 55117, 50825, 55471, 50373, 52852, 67076, 55117, 50825, 55471, 50373, 52852, 51128, 50460, 55117, 50886, 55471, 50374, 55913, 67712, 50928, 50799, 55117, 50941, 55471, 50371, 55913, 65843, 55117, 50863, 55471, 50371, 52852, 50928, 50416, 51525, 79754, 55117, 50863, 55471, 66478, 51525, 73954, 54541, 51112, 55662, 50863, 50698, 50305, 50863, 55662, 50863, 50698, 50305, 50371, 52852, 51128, 60177, 51112, 50421, 55662, 50870, 50698, 50305, 50370, 52852, 65587, 55662, 50982, 50698, 50305, 77811, 63140, 55662, 50863, 50698, 50305, 50863, 55662, 50837, 50698, 50305, 61599, 51525, 67712, 62973, 55662, 50904, 50698, 50305, 54317, 51525, 78342, 55662, 50837, 50698, 50305, 50372, 52852, 79499, 55662, 50863, 50698, 50305, 50371, 52852, 68762, 55662, 50870, 50698, 50305, 60286, 51525, 64161, 55662, 50870, 50698, 50305, 50370, 52852, 57378, 56049, 50967, 54552, 50967, 50433, 54235, 50864, 52820, 50373, 55913, 63633, 54235, 50825, 52820, 50373, 52852, 51128, 50436, 54235, 50825, 52820, 50373, 52852, 67712, 60622, 54235, 50837, 52820, 52896, 54235, 50825, 52820, 50373, 52852, 62889, 54235, 50891, 52820, 50369, 52852, 50928, 50440, 51525, 74594, 54235, 50863, 52820, 60795, 54235, 50891, 52820, 50369, 52852, 68211, 54235, 50891, 52820, 50369, 52852, 62232, 56177, 50991, 56380, 50991, 50445, 54138, 50908, 55515, 50368, 52852, 64807, 54138, 50863, 55515, 50371, 52852, 63491, 54138, 50837, 55515, 62749, 51525, 67712, 62849, 54138, 50825, 55515, 52743, 54138, 50825, 55515, 50373, 52852, 76595, 51525, 78014, 54138, 50837, 55515, 50372, 52852, 51128, 50453, 54138, 50863, 55515, 60535, 51525, 63543, 54138, 50904, 55515, 50372, 55913, 60272, 54138, 50891, 55515, 62662, 54138, 50908, 55515, 50368, 52852, 67076, 66207, 51112, 58357, 50864, 52351, 50373, 55913, 51128, 54885, 51112, 50460, 58357, 50886, 52351, 50374, 55913, 67712, 50928, 50799, 58357, 50825, 52351, 50373, 52852, 65843, 58357, 50891, 52351, 50369, 52852, 50928, 50416, 51525, 79754, 58357, 50863, 52351, 66478, 58357, 50825, 52351, 50373, 52852, 73954, 58357, 50825, 52351, 50373, 52852, 79755, 58357, 50908, 52351, 50368, 52852, 65587, 58357, 50863, 52351, 50371, 52852, 63140, 58357, 50837, 52351, 61599, 51525, 67712, 62973, 58357, 50891, 52351, 52966, 58357, 50908, 52351, 50368, 52852, 78342, 60766, 52045, 51525, 50928, 55145, 52045, 50428, 56364, 50867, 53121, 50375, 55913, 68762, 56364, 50835, 53121, 60443, 51525, 64161, 56364, 50863, 53121, 50371, 52852, 57378, 56364, 50863, 53121, 60050, 51525, 63633, 56364, 50870, 53121, 50370, 52852, 64568, 56364, 50982, 53121, 70227, 56364, 50863, 53121, 50371, 52852, 67712, 60622, 56364, 50837, 53121, 52896, 51525, 62889, 56364, 50904, 53121, 50372, 55913, 50928, 50440, 56364, 50837, 53121, 50372, 52852, 74594, 53492, 52570, 52206, 52570, 51799, 52570, 51841, 52570, 51214, 52570, 51503, 52570, 51234, 52570, 51085, 52570, 51247, 52570, 51279, 52570, 50442, 52759, 51469, 56364, 50891, 53121, 50369, 52852, 68211, 56364, 50863, 53121, 50371, 52852, 62232, 56364, 50825, 53121, 57013, 51525, 64807, 50698, 50271, 51184, 71688, 51184, 56364, 50864, 53121, 50373, 55913, 50367, 61440, 51356, 51224, 51009, 50448, 56364, 50825, 53121, 50373, 52852, 67712, 62849, 56364, 50825, 53121, 52743, 56364, 50837, 53121, 50372, 52852, 76595, 51525, 78014, 56364, 50825, 53121, 50373, 52852, 51128, 50453, 56364, 50891, 53121, 62476, 56364, 50863, 53121, 50371, 52852, 63543, 56364, 50825, 53121, 50373, 52852, 51128, 50457, 56364, 50825, 53121, 50373, 52852, 67076, 56364, 50908, 53121, 50368, 52852, 51128, 50460, 56364, 50863, 53121, 50371, 52852, 67712, 59546, 56364, 50837, 53121, 50837, 50799, 56364, 50825, 53121, 50373, 52852, 65843, 51525, 50928, 50416, 56364, 50825, 53121, 50373, 52852, 79754, 56364, 50837, 53121, 62238, 51525, 73954, 56364, 50863, 53121, 50371, 52852, 58387, 56364, 50904, 53121, 73122, 56364, 50837, 53121, 50372, 52852, 65587, 51525, 63140, 56364, 50825, 53121, 59768, 56364, 50825, 53121, 50373, 52852, 67712, 53098, 56364, 50886, 53121, 50374, 55913, 78342, 56364, 50863, 53121, 50371, 52852, 79499, 51525, 68762, 56364, 50835, 53121, 60443, 51525, 64161, 56364, 50863, 53121, 50371, 52852, 57378, 56364, 50863, 53121, 60050, 51525, 63633, 56364, 50870, 53121, 50370, 52852, 64568, 56364, 50982, 53121, 70227, 56364, 50863, 53121, 50371, 52852, 67712, 60622, 56364, 50837, 53121, 52896, 51525, 62889, 56364, 50904, 53121, 50372, 55913, 50928, 50440, 56364, 50837, 53121, 50372, 52852, 74594, 56364, 50891, 53121, 67387, 56364, 50863, 53121, 50371, 52852, 68211, 51525, 62232, 56364, 50825, 53121, 57013, 51525, 64807, 56364, 50864, 53121, 50373, 55913, 63491, 56364, 50825, 53121, 59361, 51525, 67712, 62849, 56364, 50825, 53121, 52743, 56364, 50837, 53121, 50372, 52852, 76595, 51525, 78014, 56364, 50941, 53121, 50371, 55913, 51128, 50453, 56364, 50870, 53121, 60202, 51525, 63543, 56364, 50870, 53121, 50370, 52852, 60272, 56364, 50870, 53121, 58908, 73293, 51048, 51525, 50928, 58502, 51048, 50458, 63934, 50825, 58564, 50373, 52852, 68248, 63934, 50825, 58564, 59025, 63934, 50863, 58564, 50371, 52852, 67712, 59546, 63934, 50837, 58564, 50837, 50799, 51525, 65843, 63934, 50904, 58564, 50372, 55913, 50928, 50416, 63934, 50837, 58564, 50372, 52852, 51128, 50418, 63934, 50891, 58564, 50369, 52852, 73954, 63934, 50863, 58564, 50371, 52852, 58387, 63934, 50863, 58564, 60156, 51525, 65587, 63934, 50971, 58564, 50370, 55913, 77679, 56708, 50807, 63934, 50891, 58564, 50369, 52852, 67712, 50928, 53994, 50807, 50425, 55025, 50825, 52324, 52641, 55025, 50837, 52324, 50372, 52852, 78342, 51525, 79499, 55025, 50825, 52324, 50373, 52852, 68762, 55025, 50891, 52324, 62618, 55025, 50863, 52324, 50371, 52852, 64161, 55025, 50825, 52324, 50373, 52852, 71598, 55025, 50825, 52324, 50373, 52852, 63633, 55025, 50908, 52324 ]

[ 0, 713, 5175, 2214, 6, 30291, 19, 4785, 9, 3152, 6, 1239, 5, 30443, 15, 41, 9066, 3251, 4, 20, 13305, 8, 3459, 8669, 483, 5, 169, 6, 2800, 30, 5, 2247, 23225, 9, 5, 17465, 102, 6, 20535, 2810, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 5, 15229, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 272, 6, 1918, 406, 6, 272, 6, 8, 274, 3639, 7, 5, 2214, 18, 13363, 28191, 5466, 6, 7630, 14805, 10, 11739, 9, 11098, 8, 15073, 6, 20455, 9, 10, 822, 19834, 50, 41, 814, 12, 21330, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 50434, 54380, 68916, 75377, 50931, 50918, 51247, 51358, 51050, 51358, 51143, 50886, 51344, 50886, 51536, 50818, 52825, 50809, 52103, 50893, 51713, 50893, 53994, 50795, 55936, 51428, 61531, 75804, 53133, 50894, 51344, 50874, 51143, 50886, 51536, 50809, 52825, 50809, 52719, 50858, 51648, 58746, 54885, 50800, 55448, 51049, 54672, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 54796, 55874, 54380, 51054, 51344, 52015, 50454, 51143, 52015, 51536, 51358, 52825, 51358, 51713, 51016, 52103, 51016, 53994, 50807, 55936, 52221, 55603, 63357, 51340, 50966, 50849, 53069, 53133, 50894, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 52154, 62046, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 52749, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 52227, 54125, 53133, 77288, 50800, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 51724, 54380, 52362, 50303, 57722, 51091, 51247, 50983, 51050, 51091, 50900, 50807, 51143, 50835, 51344, 50835, 51536, 50818, 52825, 50818, 51713, 50893, 52103, 50893, 53994, 50795, 55936, 51370, 57577, 50798, 63178, 53133, 50923, 51143, 50835, 51344, 50886, 51536, 50818, 52825, 50809, 51648, 50858, 52719, 50858, 54885, 50800, 55448, 52154, 58974, 54160, 50894, 52664, 50858, 51683, 50858, 55184, 50800, 53942, 51907, 56536, 50458, 54380, 53531, 50304, 51091, 50871, 51091, 51050, 51091, 50956, 50800, 51143, 52015, 51344, 52015, 51536, 51358, 52825, 51358, 52103, 51016, 51713, 51016, 53994, 50807, 55936, 52221, 55603, 50812, 51809, 52428, 51104, 54080, 53133, 50923, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51370, 55658, 54160, 77288, 50800, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 54796, 62657, 54295, 50858, 52664, 51696, 51683, 51696, 54017, 50800, 53942, 51036, 55184, 55956, 56536, 50439, 51214, 58350, 54160, 52362, 50280, 51036, 51085, 60339, 50807, 63282, 70176, 71923, 51063, 50886, 51143, 50886, 51250, 73812, 52259, 61531, 61841, 53747, 50923, 51063, 51328, 51143, 51328, 51536, 51060, 51250, 59218, 64848, 55539, 50894, 50861, 74250, 51112, 50900, 59702, 54796, 50812, 50799, 54160, 53531, 50292, 50800, 51063, 52015, 51143, 52015, 51250, 51358, 51536, 79000, 52871, 51085, 60339, 68905, 74250, 51112, 52428, 51104, 59749, 53747, 52964, 59628, 55539, 53531, 50304, 50991, 70176, 50876, 51112, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51626, 54796, 75804, 51085, 51091, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51730, 55603, 61094, 54160, 64816, 50800, 52206, 51161, 50900, 72674, 51063, 50886, 51143, 50886, 51250, 73812, 52259, 51420, 55874, 53747, 73725, 68905, 72778, 51063, 50886, 51143, 50886, 51250, 73812, 52847, 54421, 55539, 50894, 51085, 51358, 50804, 55603, 50812, 52478, 54160, 53531, 50304, 61336, 69020, 50983, 51063, 52015, 51143, 52015, 51075, 50835, 51250, 51358, 51536, 51358, 51630, 51044, 65366, 52428, 51163, 55603, 64123, 53747, 52964, 60831, 55539, 51603, 52206, 52496, 54796, 55603, 52597, 53747, 50894, 51085, 50795, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51730, 54796, 55603, 54672, 54160, 50894, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 51757, 54380, 52362, 50285, 51605, 51050, 51605, 50900, 51605, 50871, 51605, 51143, 50886, 51344, 50886, 51536, 50809, 52825, 60949, 52103, 50893, 51888, 50858, 51713, 50893, 55936, 50795, 53994, 50795, 57216, 51730, 61531, 62516, 53133, 50894, 51143, 50886, 51344, 50886, 51536, 50809, 52825, 50809, 51648, 50858, 52719, 50858, 54885, 50800, 55448, 55701, 51601, 54160, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 51907, 54796, 59432, 54380, 51054, 51143, 51244, 51344, 51244, 51536, 50918, 52825, 50918, 52103, 51016, 51713, 51362, 53994, 50807, 55936, 58747, 56536, 50428, 52428, 51163, 54125, 53133, 50894, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51370, 63773, 54160, 50894, 52664, 50858, 51683, 50858, 55184, 50800, 53942, 51907, 55603, 66270, 54160, 50894, 51050, 50800, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 55701, 50451, 53133, 50894, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 58740, 54380, 52362, 50297, 51605, 51086, 57722, 51605, 51247, 51358, 50900, 51605, 51143, 50835, 51344, 50886, 51536, 50818, 52825, 50809, 52103, 50893, 51713, 50893, 53994, 50795, 55936, 51428, 55603, 60091, 53133, 50894, 51143, 50886, 51344, 50886, 51536, 50809, 52825, 50809, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 55701, 52591, 54160, 50894, 51683, 50858, 52664, 50858, 53942, 50800, 55184, 52227, 53497, 52710, 54380, 51054, 51143, 51749, 51344, 51749, 51536, 51291, 52825, 51291, 52103, 51016, 51713, 51016, 53994, 50807, 55936, 52221, 55603, 59628, 52428, 51104, 57577, 53133, 50923, 52719, 50858, 51648, 50858, 54885, 50800, 55448, 55701, 50446, 54160, 77288, 50795, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 52154, 53497, 78862, 52664, 51696, 51683, 51696, 53942, 51036, 55184, 55956, 51420, 54421, 54160, 52362, 50292, 51605, 50900, 51605, 50861, 51605, 50876, 51605, 52206, 51605, 51063, 50886, 51143, 50886, 51536, 76409, 52259, 61531, 50812, 52177, 53747, 50894, 51143, 50874, 51063, 50874, 51250, 69936, 55701, 50424, 55539, 55020, 54796, 60313, 54160, 51054, 51063, 52015, 51143, 52015, 51536, 51358, 51250, 64253, 56536, 50437, 52428, 51104, 70981, 53747, 52964, 52848, 55539, 50923, 52719, 50893, 51648, 50893, 54885, 50795, 55448, 51626, 55603, 54796, 62516, 53747, 50894, 52664, 50858, 51683, 50858, 53942, 50800, 55184, 55701, 51601, 52428, 51104, 67503, 56070, 50894, 51234, 66209, 57722, 59123, 57257, 51222, 50886, 51348, 50886, 51262, 50809, 51543, 50809, 54295, 50858, 51906, 50858, 55005, 50800, 54017, 51730, 53497, 50812, 50428, 56070, 76238, 59123, 50800, 51234, 66209, 50800, 51348, 50886, 51543, 50809, 54295, 50858, 51906, 50858, 55005, 50800, 54017, 51049, 54796, 52972, 53497, 59662, 56070, 50894, 62942, 51234, 66209, 59006, 50800, 51348, 50886, 51222, 50835, 51262, 50818, 51543, 50809, 51906, 50858, 54295, 50858, 54017, 50800, 55005, 52154, 52972, 53497, 56536, 50440, 56070, 52362, 50302, 57722, 59123, 50800, 51234, 62674, 66845, 51058, 51348, 51058, 51543, 64142, 51262, 50865, 54295, 50858, 51906, 50858, 55005, 50800, 54017, 51907, 60322, 51163, 52972, 55874, 54160, 52362, 50292, 58035, 54828, 71068, 51143, 51058, 51063, 51058, 51250, 50865, 51536, 50865, 51683, 50858, 52664, 50858, 53942, 50800, 55184, 55456, 52972, 53497, 50812, 52478, 54380, 53531, 50297, 51492, 51247, 51492, 63049, 51223, 50807, 51262, 54490, 52972, 65366, 52842, 66084, 52842, 52672, 53497, 60831, 52842, 50808, 54380, 50894, 51223, 50818, 51262, 52816, 51420, 52597, 52842, 50808, 54380, 51054, 51223, 50818, 51262, 52816, 54796, 52848, 52842, 50808, 51223, 50967, 51262, 58101, 62516, 52842, 52764, 54796, 50812, 51601, 52842, 50889, 54380, 51054, 51223, 51112, 51262, 55568, 56536, 50422, 50798, 56536, 50428, 53165, 50805, 62985, 50923, 51223, 50818, 51262, 52141, 59662, 54380, 55121, 54125, 52350, 52764, 56358, 52350, 50808, 54380, 50894, 51223, 50809, 51262, 52259, 51420, 54672, 54380, 50923, 51262, 78103, 52816, 59312, 66270, 52277, 50889, 50454, 53747, 50923, 51223, 50818, 51262, 52847, 63357, 52842, 50808, 56070, 50894, 51223, 50809, 51262, 51907 ]

[ 0, 250, 1769, 12, 20764, 5175, 19834, 2125, 11, 230, 538, 6, 4246, 10, 6755, 12547, 6, 21072, 6, 31391, 1672, 9590, 6, 10170, 1499, 6, 8, 13305, 4, 20, 15229, 7630, 6568, 10, 25306, 5466, 6, 29354, 19448, 8, 15352, 30054, 4785, 19, 9066, 223, 34693, 6, 442, 24, 10686, 13, 10, 1619, 822, 4, 20, 2214, 11498, 10, 204, 73, 306, 86, 6543, 8, 3905, 10, 33215, 16739, 9, 381, 6, 83, 6, 211, 119, 1176, 406, 6, 83, 73, 347, 10431, 6, 8, 381, 73, 387, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 77629, 61627, 51744, 51933, 55746, 52067, 51941, 50799, 53954, 60655, 55078, 54526, 51181, 55198, 50861, 51941, 51027, 54484, 50899, 54484, 51113, 53478, 51107, 53478, 51182, 51939, 53954, 51941, 51335, 50837, 61627, 50989, 51585, 51600, 51939, 52067, 51941, 55746, 51338, 56082, 50900, 56082, 51026, 56082, 50916, 54089, 51088, 53478, 51093, 53478, 51266, 53478, 51206, 50863, 50799, 53954, 72207, 57317, 66037, 67580, 68029, 57317, 70228, 53954, 59357, 55078, 60919, 51181, 55198, 50861, 51941, 51027, 54484, 50899, 54089, 51113, 53478, 51107, 53478, 51182, 51939, 53954, 51941, 51335, 50863, 61627, 50989, 51585, 51600, 51939, 52067, 51941, 55746, 51338, 52369, 50900, 51585, 50916, 51585, 50861, 51585, 51093, 51939, 51266, 51939, 51182, 51939, 51744, 54454, 50432, 51206, 52611, 50436, 51335, 52445, 50439, 51206, 52445, 50441, 51335, 52445, 50444, 51206, 51693, 50446, 51335, 51693, 50449, 51206, 51306, 50451, 51335, 51306, 50455, 51206, 51258, 50457, 51335, 51129, 50460, 51206, 51129, 57157, 51585, 51040, 51585, 50916, 51941, 50877, 51585, 51488, 51939, 51266, 51939, 51284, 51939, 51335, 51004, 50417, 51206, 54605, 51335, 56016, 51206, 53098, 51335, 58832, 51206, 53670, 51335, 55799, 51206, 52904, 51485, 50938, 51335, 56432, 51206, 53325, 51744, 50879, 51335, 54673, 51206, 52763, 51181, 56073, 51027, 54484, 50899, 54089, 50989, 54089, 51113, 53478, 51107, 53478, 51600, 53478, 52314, 52369, 51335, 50837, 61627, 51485, 51196, 57157, 50896, 52061, 60823, 51844, 55198, 51027, 54089, 51040, 54089, 50916, 54089, 51113, 53478, 51488, 53478, 51266, 53478, 51898, 52382, 51206, 50863, 65195, 51306, 50417, 51335, 72450, 51206, 69788, 51335, 60149, 51206, 51306, 50429, 51335, 57617, 51206, 73716, 51335, 58930, 51206, 77060, 51335, 53421, 51181, 51585, 53517, 51100, 51491, 51801, 51113, 51801, 52089, 76010, 50883, 51453, 50928, 54852, 63785, 50974, 53517, 51116, 52089, 51116, 63901, 50928, 51816, 51365, 52092, 50907, 51039, 53977, 50928, 51816, 51748, 52092, 51243, 56207, 51542, 50902, 51542, 54040, 51111, 51555, 51111, 51970, 51361, 53419, 50928, 57552, 51161, 53517, 51162, 52089, 51162, 51897, 52763, 51114, 69138, 50974, 54587, 51162, 52123, 66009, 53740, 50928, 55331, 51477, 51114, 51477, 50852, 53730, 53098, 51181, 51585, 53517, 50849, 52089, 54754, 73177, 53569, 50877, 51328, 50902, 51328, 53517, 51116, 52089, 51116, 63901, 50928, 51816, 51142, 52092, 50851, 51180, 53740, 50982, 51816, 52727, 52092, 51671, 60027, 51542, 50902, 51542, 54040, 51110, 51555, 51110, 63012, 61803, 50928, 56682, 51016, 53517, 51124, 52089, 51124, 51897, 52762, 51181, 51608, 50322, 51775, 50902, 51380, 54587, 51346, 52123, 51346, 63901, 50928, 54360, 59460, 51328, 50902, 51534, 53517, 51162, 52089, 51162, 50852, 54435, 53430, 51137, 51585, 50902, 51328, 50951, 51328, 54040, 51159, 51088, 51592, 51357, 51592, 51555, 51159, 51577, 52281, 51004, 51453, 50928, 55331, 51380, 50951, 51380, 63901, 50928, 52427, 50912, 52092, 50984, 51039, 53977, 50928, 52427, 51283, 52092, 52256, 60718, 51775, 50951, 51380, 54040, 50967, 51555, 50967, 51970, 51361, 53419, 50928, 55827, 51585, 53517, 51204, 51491, 51592, 51113, 51592, 52089, 51204, 51897, 52763, 51114, 63785, 51328, 50791, 53740, 50928, 51816, 50984, 52092, 77219, 51816, 52441, 52092, 51961, 60497, 51775, 50902, 51380, 53517, 51346, 52089, 51346, 50852, 53730, 53098, 51374, 51933, 57179, 51358, 51301, 51801, 51113, 51801, 53444, 71112, 73177, 53569, 50968, 71277, 51328, 63901, 50928, 53464, 50984, 52577, 51365, 50444, 57716, 54068, 53740, 50982, 53464, 51671, 52577, 51748, 50450, 51028, 51542, 50968, 51542, 74148, 50914, 63012, 61803, 50928, 54281, 60599, 51244, 57716, 51218, 51897, 52762, 51181, 59900, 51008, 51028, 51058, 63901, 53962, 57716, 51074, 58105, 52530, 50317, 78172, 51097, 74148, 52378, 50852, 54435, 53430, 51844, 51585, 50877, 51244, 54329, 50918, 51584, 50918, 57716, 53577, 51577, 52281, 51004, 51453, 50928, 58540, 51244, 63901, 50928, 53464, 51123, 52577, 51123, 51039, 53977, 50928, 53464, 55844, 52577, 51748, 50426, 50968, 51542, 53446, 50914, 51902, 50914, 51970, 51361, 53419, 50928, 54360, 51933, 50877, 51939, 54329, 50914, 51584, 50914, 51897, 52763, 50999, 51097, 53517, 51162, 52041, 66009, 53740, 50928, 57289, 51775, 50852, 53730, 53098, 51349, 51585, 50877, 50835, 54329, 51077, 51584, 51077, 51577, 52281, 51129, 51361, 53569, 50968, 51008, 51028, 51058, 63901, 50928, 53464, 50941, 52577, 50984, 51180, 53740, 50982, 53464, 51748, 52577, 51671, 50450, 51028, 51542, 50968, 51542, 53446, 50914, 51902, 50914, 63012, 61803, 50928, 54281, 51585, 50877, 51244, 54329, 51159, 51584, 51159, 51897, 52762, 51028, 51477, 53517, 50849, 52041, 50849, 63901, 54114, 50968, 51423, 53517, 51162, 52089, 51162, 50852, 54435, 53430, 51137, 51585, 50973, 52015, 54040, 51116, 51088, 51592, 51357, 51592, 51555, 51116, 51577, 52281, 50928, 51453, 50928, 56807, 69138, 50974, 54040, 50991, 51555, 50991, 63901, 50928, 52427, 50827, 52092, 50907, 51039, 53977, 50928, 52427, 52598, 52092, 52136, 50426, 50951, 51380, 50902, 51097, 54040, 51346, 51555, 51346, 51970, 51361, 53419, 50928, 54585, 51585, 50877, 52015, 54040, 51189, 51301, 52140, 51113, 51592, 51555, 51189, 51897, 52763, 50968, 52363, 50317, 57154, 53740, 50928, 53464, 50851, 52577, 51365, 50456, 53464, 52256, 52577, 52256, 57289, 51423, 51028, 51534, 53517, 51100, 52089, 51100, 50852, 53730, 53098, 51181, 51585, 50902, 51542, 53517, 51103, 51491, 52826, 51113, 53849, 52089, 51103, 51577, 52281, 50908, 51361, 53569, 51114, 51058, 63901, 50928, 51816, 51123, 52092, 51365, 50444, 57716, 54068, 53740, 50982, 51816, 53588, 52092, 53588, 63932, 52019, 50322, 51097, 74148, 50914, 63012, 61803, 50928, 56682, 51274, 50877, 51244, 57716, 51218, 51897, 52762, 50902, 51008, 51114, 51008, 63901, 53962, 51857, 50879, 61744, 50845, 58105, 62571, 51328, 51114, 51534, 58385, 50995, 50852, 54435, 53430, 51181, 51585, 51114, 51423, 50902, 51749, 53517, 50889, 51491, 51801, 51113, 51801, 51384, 51671, 52089, 50889, 61744, 51318, 51577, 52281, 50891, 51453, 50928, 60497, 51008, 53517, 50889, 52089, 50889, 63901, 50928, 52092, 50907, 54282, 51365, 51039, 53977, 50928, 52092, 51243, 54282, 51748, 50426, 51114, 51534, 54040, 50889, 51555, 50889, 51970, 51361, 53419, 50928, 57552, 51161, 53517, 50914, 52089, 50914, 51897, 52763, 50902, 51008, 51114, 51058, 54587, 51095, 51733, 51330, 52123, 59156, 53740, 50928, 55331, 51542, 51114, 51477, 54587, 51100, 52405, 51330, 52123, 51100, 50852, 53730, 53098, 51181, 51585, 53517, 51077, 51384, 51671, 52089, 51077, 51577, 52281, 50870, 51361, 53569, 50902, 52363, 50322, 50974, 63901, 50928, 52092, 50851, 54282, 51142, 51180, 53740, 50982, 52092, 51671, 54282, 52727, 63932, 51542, 51114, 51542, 54040, 51157, 51555, 51157, 63012, 61803, 50928, 54468, 51356, 53517, 51159, 52089, 51159, 51897, 52762, 50902, 51328, 51114, 51423, 54587, 50914, 51733, 51330, 52123, 50914, 63901, 54114, 51181, 61471, 51328, 51114, 51328, 53517, 50914, 52405, 51330, 52089, 52903, 50852, 54435, 53430, 51137, 51585, 54040, 50889, 51088, 51592, 51357, 51592, 51926, 52431, 51555, 50889, 51577, 52281, 50870, 51453, 50928, 55331, 51423, 50951, 51423, 63901, 50928, 52092, 50984, 52627, 50912 ]

[ 0, 250, 765, 15855, 2125, 14, 115, 28, 341, 25, 10, 19834, 6, 4246, 41, 30062, 620, 7085, 12280, 642, 8, 3551, 139, 4, 20, 6711, 16, 11653, 8, 20455, 9, 1619, 6, 19, 10, 11602, 9, 11098, 8, 26545, 4, 23973, 11, 274, 538, 8, 231, 73, 398, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50631, 50462, 54428, 59369, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 54254, 50807, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 54254, 50807, 52566, 50918, 53448, 57944, 53647, 52424, 53118, 50807, 54254, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53448, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 54254, 50807, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 54254, 50807, 53039, 50807, 51540, 52697, 50807, 53000, 51161, 54296, 57944, 53267, 52424, 52697, 52728, 52697, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53267, 50807, 53118, 50918, 56774, 57944, 52697, 52424, 53267, 50807, 53000, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 54254, 50807, 52566, 50918, 53448, 57944, 53647, 52424, 53118, 50807, 54254, 52728, 54428, 50807, 52697, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53448, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 53118, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 54428, 50807, 53267, 50918, 56774, 57944, 53000, 52424, 53118, 50807, 52697, 52728, 54428, 50795, 53267, 50918, 53448, 76621, 53647, 62735, 54723, 59369, 52697, 50807, 53647, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 53267, 50807, 54428, 52728, 54428, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 52566, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 53118, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 52566, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 54723, 59369, 53118, 50807, 53647, 50807, 51540, 54428, 50807, 52697, 50918, 53155, 57944, 53647, 52424, 52650, 50807, 54428, 52728, 53436, 50807, 53118, 50918, 53448, 51161, 50462, 53647, 59369, 52890, 50807, 53436, 50807, 51540, 54428, 50807, 54969, 50918, 54959, 57944, 53436, 52424, 52650, 50807, 53039, 52728, 53000, 50807, 53118, 50918, 53879, 51161, 50462, 54254, 59369, 53118, 50807, 52697, 50807, 51540, 52890, 50807, 52566, 50918, 53398, 57944, 52650, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 53267, 59369, 52890, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 54428, 50807, 53267, 50918, 56774, 57944, 53000, 52424, 53118, 50807, 52697, 52728, 54428, 50795, 53267, 50918, 53448, 76621, 53647, 62735, 54723, 59369, 52697, 50807, 53647, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 53267, 50807, 54428, 52728, 54428, 50807, 53118, 50918, 53448, 51161, 50462, 53000, 59369, 53267, 50807, 52697, 50807, 51540, 52566, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728, 53118, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 52566, 50807, 53000, 50807, 51540, 54428, 50807, 53118, 50918, 54296, 57944, 53647, 52424, 52697, 50807, 54428, 52728, 54428, 50807, 53267, 50918, 53448, 51161, 50462, 54723, 59369, 53118, 50807, 53647, 50807, 51540, 54428, 50807, 52697, 50918, 53155, 57944, 53647, 52424, 52650, 50807, 54428, 52728, 53436, 50807, 53118, 50918, 53448, 51161, 50462, 53647, 59369, 52890, 50807, 53436, 50807, 51540, 54428, 50807, 54969, 50918, 54959, 57944, 53436, 52424, 52650, 50807, 53039, 52728, 53000, 50807, 53118, 50918, 53879, 51161, 50462, 54254, 59369, 53118, 50807, 52697, 50807, 51540, 52890, 50807, 52566, 50918, 53398, 57944, 52650, 52424, 53118, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 53267, 59369, 52890, 50807, 53039, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 53472, 50918, 53267, 50918, 53448, 51161, 50474, 53118, 50807, 53039, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 52697, 50807, 53472, 50918, 53448, 51161, 50462, 53000, 59369, 53118, 50807, 54428, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 53267, 50807, 53472, 50918, 53448, 51161, 50462, 52566, 59369, 53118, 50807, 52697, 50807, 51540, 52890, 50807, 52566, 50918, 53398, 57944, 53118, 52424, 53715, 50807, 52697, 52728, 52566, 50807, 54254, 50918, 53448, 51161, 50462, 52890, 59369, 53118, 50807, 53039, 50807, 51540, 53000, 50807, 53267, 50918, 56774, 57944, 52697, 52424, 53118, 50807, 53267, 52728, 52697, 50807, 53472, 50918, 53155, 51161, 50462, 52697, 59369, 53267, 50807, 53000, 50807, 51540, 54428, 50807, 52697, 50918, 53448, 57944, 53436, 52424, 53267, 50807, 53039, 52728, 53000, 50807, 53118, 50918, 56774, 51161, 50462, 54254, 59369, 53267, 50807, 52697, 50807, 51540, 52697, 50795, 53118, 50918, 53941, 59047, 54254, 51631, 53647, 52424, 52890, 50807, 54254, 52728, 52697, 50807, 53267, 50918, 54296, 51161, 50462, 53000, 59369, 53118, 50807, 52697, 50807, 51540, 53118, 50807, 52566, 50918, 53398, 57944, 52890, 52424, 53118, 50807, 52697, 52728 ]

[ 0, 250, 2933, 8, 9066, 5175, 3152, 2214, 19, 81, 9756, 8, 30587, 29589, 6, 23396, 30, 10, 2635, 12638, 1451, 11, 155, 73, 306, 86, 4, 20, 33215, 16739, 9, 211, 119, 6, 272, 6, 3676, 6, 1918, 6, 8, 211, 6670, 10, 25306, 5466, 11, 42, 765, 2125, 6, 7630, 14805, 3156, 9, 814, 8, 10603, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50622, 51034, 50804, 53802, 50837, 63311, 80120, 80120, 51306, 54519, 80120, 80120, 51306, 57493, 80120, 51258, 50419, 50804, 71905, 71905, 51258, 55207, 71905, 71905, 51258, 50421, 50804, 63272, 51129, 53951, 63272, 63272, 51129, 53327, 63272, 62348, 51004, 57453, 62348, 51004, 57363, 62348, 62348, 51004, 51302, 56870, 56870, 50982, 57773, 56870, 50982, 59493, 56870, 56870, 50928, 54321, 57282, 57282, 50928, 57096, 57282, 64161, 50804, 57282, 55536, 53814, 50804, 55536, 55536, 62713, 50804, 55536, 50908, 53924, 54835, 54835, 50891, 52594, 54835, 54835, 50891, 55935, 54538, 57892, 50804, 54538, 54538, 52904, 50804, 54538, 54538, 57477, 50804, 54839, 50863, 60409, 54839, 54839, 50863, 53012, 54839, 53802, 50837, 55258, 53802, 60362, 50804, 53802, 53802, 53027, 50804, 54528, 54528, 57013, 50804, 54528, 50825, 53526, 54528, 54528, 50835, 52612, 54518, 54518, 50835, 57471, 54518, 50835, 57048, 54518, 55018, 50829, 51034, 50804, 55018, 55018, 56075, 50804, 55018, 50834, 63311, 54617, 54617, 50834, 54519, 54617, 54617, 50834, 57493, 53784, 59346, 50804, 53784, 53784, 52761, 50804, 53784, 53784, 61266, 50804, 53966, 50839, 53951, 53966, 53966, 50839, 53327, 53966, 54131, 50841, 57453, 54131, 50841, 57363, 54131, 54131, 50841, 51302, 54212, 54212, 55882, 50804, 54212, 50828, 59493, 54212, 54212, 50846, 54321, 54499, 54499, 50846, 57096, 54499, 59476, 50804, 52572, 52572, 52209, 50804, 52572, 52572, 57201, 50804, 52572, 50884, 53924, 54866, 54866, 50884, 52594, 54866, 54866, 50884, 55935, 53338, 61808, 50804, 53338, 53338, 50895, 53550, 53338, 53338, 59575, 50804, 53479, 50883, 60409, 53479, 53479, 50883, 53012, 53479, 53850, 50961, 55258, 53850, 50961, 62177, 53850, 53850, 54586, 53212, 50934, 53893, 67562, 53212, 50934, 64281, 53212, 50934, 54201, 51031, 52612, 54201, 54201, 51031, 57471, 54201, 51031, 57048, 70763, 50817, 51034, 67677, 75503, 78268, 51593, 55506, 75767, 55453, 54404, 52630, 74187, 75503, 51323, 50889, 51593, 53912, 76633, 51497, 50889, 51323, 50889, 51478, 50889, 51034, 51263, 51141, 51188, 51141, 51245, 51141, 51746, 70303, 56718, 57300, 51823, 50805, 51593, 52446, 51499, 71685, 78268, 51478, 50889, 51034, 67677, 67677, 78268, 51593, 50889, 51770, 54243, 74187, 67677, 51323, 50889, 51593, 50889, 51770, 53912, 76633, 67677, 51323, 50889, 51593, 50889, 52106, 50889, 51034, 51263, 51141, 51347, 51141, 51245, 51141, 51593, 51141, 51770, 70303, 69619, 63708, 62069, 51746, 50805, 51478, 52446, 74187, 67677, 75503, 51323, 50889, 51593, 50889, 51034, 51498, 71685, 51497, 50889, 51323, 50889, 51478, 54243, 71163, 67677, 75503, 78268, 51593, 53912, 53371, 50889, 51499, 71685, 51497, 50889, 51746, 50889, 51034, 51767, 51538, 51347, 51538, 51404, 51538, 51245, 51538, 51593, 51538, 50804, 51463, 50817, 63311, 54617, 54617, 50834, 54519, 54617, 54617, 50834, 57493, 53784, 59346, 50804, 53784, 53784, 52761, 50804, 53784, 53784, 61266, 50804, 53966, 50839, 53951, 53966, 53966, 50839, 53327, 53966, 54131, 50841, 57453, 54131, 50841, 57363, 54131, 54131, 52870, 51245, 50938, 51593, 50938, 66448, 56367, 62462, 51634, 50887, 52294, 50887, 52375, 53988, 54212, 54212, 55882, 50804, 54212, 61146, 51622, 50887, 52341, 50887, 52874, 53988, 54212, 54212, 50846, 54321, 54499, 54499, 59971, 51634, 50887, 52294, 50887, 52375, 53988, 54499, 59476, 50804, 52572, 52572, 52209, 51245, 50938, 51478, 50938, 55317, 64378, 62462, 51622, 50887, 52341, 50887, 52874, 53988, 52572, 52572, 57201, 50804, 52572, 59871, 52294, 50887, 52375, 50887, 54338, 53988, 54866, 54866, 50884, 52594, 54866, 54866, 63061, 52341, 50887, 52874, 50887, 53687, 53988, 53338, 61808, 50804, 53338, 53338, 54292, 51245, 50938, 51770, 50938, 55535, 50805, 58157, 62462, 52294, 50887, 52375, 50887, 54338, 53988, 53338, 53338, 59575, 50804, 53479, 67268, 52341, 50887, 52874, 50887, 53687, 53988, 53479, 53479, 50883, 53012, 53479, 53850, 73431, 52375, 50887, 54338, 50887, 53549, 53988, 53850, 50961, 62177, 53850, 53850, 54586, 63214, 50938, 51409, 50938, 51746, 50938, 52106, 50938, 62462, 52341, 50887, 52874, 50887, 53687, 53988, 53893, 53893, 67562, 53212, 50934, 64281, 52375, 50887, 54338, 50887, 53549, 53988, 53893, 54201, 51031, 52612, 54201, 54201, 51031, 50448, 52874, 50887, 53687, 50887, 55652, 53988, 54201, 51031, 57048, 70763, 50817, 51034, 74934, 50889, 51767, 50889, 78268, 51593, 50889, 51940, 50889, 52375, 51013, 53687, 51013, 55652, 56946, 75767, 55453, 54404, 52630, 55535, 50889, 74683, 78268, 51593, 50889, 51940, 50889, 52375, 51013, 53687, 51013, 55652, 51013, 53431, 55453, 54404, 52676, 53371, 50889, 71163, 78268, 51593, 50889, 51940, 50889, 52375, 51013, 53687, 51013, 55652, 51013, 53431, 55453, 54404, 50817, 51034, 51767, 51141, 51347, 51141, 51245, 51141, 51593, 51141, 51940, 51141, 52375, 51933, 53687, 51933, 55652, 51933, 53431, 55018, 55453, 54404, 78212, 54538, 50870, 57773, 54538, 50863, 59493, 54839, 54839, 50837, 54321, 53802, 53802, 50825, 57096, 54528, 59277, 50804, 54528, 54518, 52818, 66448, 56367, 62462, 51746, 50805, 52106, 52918, 54518, 55018, 57107, 50804, 55018, 50834, 53924, 54617, 54617, 50834, 52594, 53784, 53784, 50820, 55935, 53966, 57320, 50804, 53966, 54131, 53116, 51593, 51157, 51770, 51157, 74934, 50889, 51767, 50889, 51245, 55506, 54131, 54212, 56068, 50804, 54212, 50828, 60409, 54499, 54499, 50846, 53012, 52572, 52572, 50818, 55258, 54866, 50884, 62177, 54866, 53338, 53885, 50804, 53338, 53338, 50883, 64614, 53479, 50883, 53526, 53850, 53850, 50961, 52612, 53893, 53893, 72989, 53212, 50934, 51031, 57048, 54201, 54201, 50817, 51034, 53371, 50889, 71163, 78268, 51746, 50889, 52106, 50889, 54338, 51013, 53549, 51013, 57714, 56946, 75767, 55453, 54404, 52630, 52484, 50889, 51499, 50889, 78268, 51746, 50889, 52106, 50889, 54338, 51013, 53549, 51013, 57714, 51013, 53431, 55453, 54404, 52676, 64606, 51188, 50889, 78268, 51746, 50889, 52106, 50889, 54338, 51013, 53549, 51013, 57714, 51013, 53431, 55453, 54404, 50817, 51034, 53371, 51141, 51263, 51141, 51245, 51141, 51746, 51141, 52106, 51141, 54338, 51013, 53549, 51013, 57714, 51013, 53431, 55018, 55453, 54404, 52630, 52874, 51013, 53687, 51013, 55652, 56946, 54538, 50870, 57773, 54538, 50863, 59493, 54839, 54839, 50837, 54321, 53802, 53802, 50825, 57096, 54528, 59277, 50804, 54528, 54518, 52818, 61139, 59666, 62462, 79774, 51770, 52918, 54518, 55018, 57107, 50804, 55018, 50834, 53924, 54617, 54617, 50834, 52594, 53784, 53784, 50820, 55935, 53966, 57320, 50804, 53966, 54131, 53116, 51746, 51157, 51478, 51157, 53371, 50889, 71163, 78268, 52375, 50879, 54338, 50879, 53549, 53543, 54131, 54212, 56068, 50804, 54212, 50828, 60409, 54499, 54499, 50846, 53012, 52572, 52572, 50818, 55258, 54866, 50884, 62177, 54866, 53338, 53885, 52341, 50924, 52874, 50924, 53687, 54593, 53338, 53338, 50883, 64614, 53479, 50883, 53526, 53850, 53850, 50961, 52612, 53893, 53893, 72989, 53212, 50934, 51031, 57048, 54201, 54201, 50817, 51034, 51767, 50889, 67677, 78268, 51593, 50889, 51770, 50889, 52375, 51013, 53687, 51013, 55652, 56946, 75767, 55453, 54404, 52630, 56489, 57300, 75121, 68695, 52106, 50805, 52375, 50879, 54338, 50879, 57714, 54729, 61139, 59666, 62462, 79774, 51770, 50805, 52375, 50879, 53687, 50879, 55652 ]

[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 6735, 9691, 12638, 4, 20, 2125, 16, 11, 83, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 10529, 163, 5683, 4, 20, 1049, 33215, 16739, 10726, 9, 1918, 8, 3676, 6, 8216, 7, 5, 2214, 18, 1372, 8, 19448, 5466, 6, 442, 24, 10686, 13, 304, 11, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50426, 59544, 52565, 59544, 52396, 59544, 50818, 50799, 59544, 52437, 59544, 52565, 70552, 51516, 62352, 50795, 59544, 50818, 51699, 51918, 51649, 51060, 51578, 51060, 51027, 51060, 51883, 60866, 70552, 51516, 62352, 50795, 59544, 50818, 51699, 51923, 51007, 51060, 51275, 51060, 51050, 51060, 51887, 51060, 61464, 50983, 50939, 50983, 51007, 50983, 51144, 50983, 51308, 50983, 51275, 50983, 51234, 50983, 51246, 51358, 50960, 51358, 50929, 51358, 51064, 51358, 67472, 51074, 52602, 59492, 65122, 52417, 59637, 60613, 66780, 75271, 61565, 51234, 50795, 67472, 51074, 52602, 51646, 59637, 60613, 66780, 75271, 61565, 51234, 50795, 67472, 51074, 52602, 51918, 50847, 62641, 64276, 50807, 51099, 78922, 51275, 50807, 51234, 50807, 61351, 71890, 56745, 52602, 52728, 65122, 52579, 50872, 64700, 64276, 50807, 67334, 76629, 51275, 50807, 51234, 50807, 71890, 56745, 58352, 68137, 52602, 50807, 50799, 67472, 63961, 50847, 64700, 64276, 50807, 71269, 76629, 51275, 79259, 50807, 50960, 50983, 50929, 50983, 51064, 50983, 52776, 52910, 65122, 52417, 53449, 56696, 64227, 64762, 51214, 50795, 67472, 51074, 52776, 51646, 53449, 56696, 70552, 64227, 64762, 51516, 67795, 50983, 50986, 50918, 80145, 51032, 50918, 67472, 51074, 52143, 60865, 78280, 51578, 51798, 70552, 71220, 65122, 52579, 51007, 50795, 61565, 51120, 50795, 52371, 50795, 61464, 50983, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 50983, 51120, 50983, 51131, 51492, 50998, 51492, 50947, 51492, 67472, 51074, 52371, 59492, 65122, 52417, 50872, 61756, 50795, 66780, 63439, 61565, 51085, 50800, 67472, 51074, 52143, 52262, 51120, 50800, 52371, 51724, 50872, 61756, 50795, 66780, 63439, 61565, 51315, 50983, 67472, 51074, 52830, 60865, 50872, 58311, 51007, 50807, 67334, 71269, 51275, 52728, 65122, 52579, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 54197, 50983, 67472, 51074, 51887, 60055, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 52910, 65122, 52417, 50847, 61756, 50795, 64227, 63439, 61565, 51026, 50983, 67472, 51074, 51699, 57222, 70552, 71220, 67472, 59837, 51649, 51060, 51578, 60866, 70552, 51516, 66843, 50807, 65122, 50820, 51883, 53312, 51007, 51060, 51275, 51060, 61464, 50983, 50939, 50983, 51007, 50983, 51144, 50983, 51308, 50983, 51275, 50983, 50997, 50983, 51246, 51358, 50960, 51358, 50929, 51358, 51064, 51358, 67472, 51074, 51638, 59492, 65122, 52417, 59637, 60613, 66780, 75271, 61565, 50997, 50795, 67472, 51074, 51638, 51646, 59637, 60613, 66780, 75271, 61565, 50997, 50795, 67472, 51074, 51638, 51918, 50847, 62641, 64276, 50807, 51099, 78922, 51275, 68518, 50807, 61351, 71890, 56745, 51699, 52728, 65122, 52579, 50872, 64700, 64276, 50807, 67334, 76629, 51275, 65757, 50807, 71890, 56745, 58352, 68137, 51638, 50807, 50799, 67472, 63961, 50847, 64700, 64276, 50807, 71269, 76629, 51275, 68518, 50807, 50960, 50983, 50929, 50983, 51064, 50983, 51699, 52910, 65122, 52417, 72073, 51119, 62352, 50795, 67472, 51074, 51699, 51646, 53449, 56696, 70552, 64227, 64762, 51516, 67795, 50807, 50986, 50918, 80145, 51032, 50918, 67472, 51074, 52143, 53218, 78280, 51578, 51798, 70552, 51516, 67795, 50795, 65122, 50820, 52143, 51923, 51007, 50795, 61565, 51120, 50795, 52371, 50795, 61464, 50983, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 50983, 51120, 50807, 51131, 51605, 50998, 51605, 50947, 51605, 67472, 51074, 52371, 52910, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 51120, 50807, 65122, 50820, 52371, 53182, 67472, 55659, 50872, 61756, 50795, 66780, 63439, 61565, 67472, 59837, 50872, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 51120, 50807, 67472, 51074, 52371, 52728, 67472, 51074, 65122, 52579, 50847, 50918, 50909, 50918, 51099, 50918, 51153, 50918, 51085, 52382, 50986, 52382, 50929, 52382, 51032, 52382, 67472, 51074, 52143, 52382, 50799, 51149, 51605, 51489, 51605, 51789, 51605, 67472, 55752, 65122, 52417, 72073, 63439, 67472, 55659, 51007, 50795, 61565, 67472, 59837, 56696, 51153, 51798, 72073, 63439, 65122, 52579, 53449, 51007, 50983, 64227, 51275, 50983, 51596, 50983, 54868, 50807, 51131, 51492, 50998, 51492, 50947, 51492, 67472, 51074, 52371, 52910, 79274, 75707, 51144, 50983, 51119, 50983, 51120, 50807, 65122, 50820, 52371, 53182, 67472, 55659, 51085, 50795, 67472, 51074, 52143, 51918, 50872, 54716, 66780, 63439, 51120, 50807, 52371, 52728, 56696, 64762, 51752, 50795, 65122, 52579, 59792, 71168, 51120, 50807, 51789, 50795, 52371, 50807, 61464, 59331, 51007, 50807, 67334, 78582, 51275, 50807, 51596, 50918, 67472, 63961, 51085, 50795, 52143, 51631, 79274, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 50983, 51120, 50795, 65122, 50820, 52371, 51736, 51085, 50795, 67472, 51074, 52143, 51646, 51120, 50807, 67472, 51074, 52371, 53218, 79274, 75707, 51007, 50983, 51144, 50983, 51119, 50983, 51275, 58624, 51050, 50807, 65122, 50820, 51887, 50807, 59007, 54716, 56696, 51232, 50795, 63439, 64762, 51027, 50918, 67472, 51074, 51883, 54994, 53449, 64227, 52182, 51631, 50850, 50918, 50909, 50918, 59792, 51119, 50918, 51153, 50918, 71168, 51789, 50795, 65122, 52417, 51149, 50983, 51489, 50983, 51789, 57222, 51324, 50983, 67472, 51074, 54333, 58624, 56696, 64762, 51752, 50795, 65122, 52579, 75707, 50909, 50983, 51149, 50983, 51119, 50983, 51153, 50983, 51489, 50983, 51279, 50807, 51789, 50983, 53215, 50807, 50799, 67472, 63961, 51279, 50795, 53215, 51631, 72073, 56696, 63439, 64762, 51279, 50795, 51752, 50795, 65122, 50820, 53215, 51736, 51257, 50807, 51435, 50807, 51279, 50795, 51606, 50807, 53215, 51646, 51279, 50807, 67472, 51074, 53215, 53218, 51149, 50807, 51489, 50807, 51789, 52728, 50850, 62641, 50807, 51119, 65801, 70928, 50807, 65122, 50820, 52143, 53312, 51149, 50807, 51489, 50807, 51789, 50807, 54868, 50983, 67472, 51074, 52371, 60055, 51007, 50983, 51275, 50983, 51596, 59492, 50872, 59331, 67334, 78582, 65122, 52417, 51120, 50795, 67472, 51074, 52371, 51646, 51120, 50795, 67472, 51074, 52371, 51918, 50872, 59331, 67334, 78582, 51120, 50807, 52371, 52728, 65122, 52579, 53449, 64227, 51120, 50807, 52182, 50795, 52371, 50807, 50799, 51257, 50807, 51435, 50807, 51606, 50807, 67472, 63961, 51085, 50795, 52143, 51631, 50850, 64276, 50807, 51257, 50807, 78582, 51275, 50807, 51435, 50807, 51120, 50795, 51606, 50807, 65122, 50820, 52371, 51736, 51085, 50795, 67472, 51074, 52143, 51646, 51257, 50807, 51435, 50807, 51120, 50807, 51606, 50807, 67472, 51074, 52371, 52728, 50850, 60613, 68395, 63439, 61565, 51435, 59851, 50807, 51606, 50795, 65122, 50820, 51887, 53312, 51149, 50807, 51489, 50807, 51789, 50807, 56310, 50918, 67472, 51074, 51883, 54994, 50909, 50983, 51153, 50983, 51752, 59492, 50868, 59331, 51232, 50807, 78582, 65122, 52600, 51324, 50983, 67472, 51074, 54333, 58624, 50868, 54716, 56696, 51232, 50795, 63439, 64762, 65122, 52579, 50868, 75006, 78418, 50918, 54120, 50795, 53215, 50918, 50799, 59792, 71168, 51789, 50795, 67472, 63961, 51149, 50807, 51489, 50807, 51789, 52910, 50850, 62641, 50807, 51119, 78922, 65122, 52417, 51257, 50807, 51435, 50807, 51279, 50795, 51606, 50807, 67472, 51074, 53215, 51646, 51279, 50795, 67472, 51074, 53215, 51918, 59792, 71168, 51279, 50795, 51789, 50795, 53215, 51798, 72073, 71684, 63439, 64762, 51489 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 13305, 6, 21979, 8669, 6, 20535, 2810, 6, 21979, 9590, 6, 8, 38668, 22052, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 230, 6, 211, 6, 272, 6, 211, 6, 8, 3676, 406, 3639, 7, 5, 2214, 18, 19448, 8, 2365, 3618, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50791, 50806, 51544, 50806, 51570, 50806, 52320, 50806, 57732, 51991, 50420, 50988, 51538, 50423, 50885, 51538, 51544, 57200, 50847, 51077, 50435, 50909, 64712, 52043, 52808, 52931, 52257, 51591, 59008, 51538, 67653, 51538, 50423, 50885, 51623, 51544, 57200, 50847, 51077, 50435, 50909, 68499, 51440, 53969, 51808, 54672, 51607, 50849, 52320, 59908, 51669, 51307, 69768, 51991, 50420, 50988, 51538, 50423, 51042, 51623, 51544, 57200, 50847, 51077, 50435, 50909, 64712, 52043, 55859, 50806, 79053, 51307, 51332, 51538, 50420, 50988, 51623, 50423, 50885, 51623, 51544, 57200, 50847, 51446, 50435, 50909, 51204, 52320, 50806, 55929, 51189, 51434, 51103, 51607, 51103, 52043, 51103, 54437, 51103, 51332, 51991, 50791, 54906, 52302, 50988, 51538, 50791, 56828, 50885, 51538, 51768, 51331, 63043, 50847, 51077, 51361, 57244, 51461, 60940, 51141, 52963, 53294, 51461, 51159, 51320, 74510, 54411, 51493, 50914, 55243, 51100, 51808, 50917, 51434, 50897, 51669, 50897, 50903, 52319, 50894, 53202, 51189, 51440, 51486, 51607, 51486, 53369, 51486, 51515, 51486, 51434, 51486, 51164, 51538, 51320, 54892, 50946, 51538, 50791, 56828, 50885, 51623, 51768, 51331, 57469, 50847, 51077, 51361, 57244, 51140, 60940, 71109, 53662, 52676, 51140, 52972, 50898, 54586, 51140, 51159, 75852, 51955, 51331, 54210, 51273, 51420, 57841, 51461, 50812, 68515, 51191, 52745, 51189, 51434, 51189, 51808, 51191, 51669, 51189, 51614, 51191, 51791, 51991, 51320, 54892, 50988, 51538, 50791, 56828, 51042, 51623, 51768, 51331, 63043, 50847, 51077, 51361, 61968, 52659, 62552, 51141, 51320, 53294, 52659, 51159, 51808, 51100, 52745, 51100, 51614, 51100, 51434, 51100, 51320, 74510, 55551, 51614, 51159, 51607, 50917, 52745, 51100, 51440, 55758, 51273, 71547, 52319, 54712, 52745, 50812, 51808, 50812, 51669, 50812, 55929, 50914, 51434, 51413, 51607, 51413, 52043, 51413, 51774, 51189, 51332, 51538, 50791, 54906, 52302, 50988, 51623, 50791, 62231, 50885, 51623, 51768, 51331, 57469, 50847, 51141, 51361, 57244, 51461, 60940, 51204, 50791, 53662, 52676, 51461, 50836, 51774, 51124, 51434, 51124, 51607, 51110, 52043, 51110, 51320, 54586, 51461, 50849, 51320, 55551, 55972, 50448, 50847, 52741, 52659, 50917, 51808, 50917, 52745, 51100, 51434, 50897, 51669, 50897, 50935, 50910, 50903, 51331, 67641, 51007, 52643, 51668, 55593, 67239, 50909, 64333, 50935, 50808, 62987, 51191, 51660, 50914, 51434, 51191, 51440, 51191, 51607, 51191, 52806, 51307, 50946, 51538, 50791, 54906, 55534, 50909, 51095, 57783, 51623, 50791, 56828, 50868, 51623, 51768, 51331, 57469, 51660, 51159, 50847, 56632, 51434, 70096, 57244, 52419, 50836, 51669, 56709, 51077, 51320, 53294, 52419, 67425, 55146, 64849, 53711, 51607, 59488, 52319, 54712, 51098, 50849, 53202, 50914, 51515, 51162, 51434, 51159, 51607, 50914, 53369, 51486, 51440, 51159, 51164, 51991, 51320, 54892, 50946, 51538, 50791, 62231, 50885, 51623, 51768, 51331, 57469, 51515, 50917, 50847, 56632, 51434, 67425, 57244, 51140, 50836, 51515, 51191, 51607, 51191, 50909, 78464, 54162, 52676, 51140, 51100, 51320, 54586, 51461, 52217, 53662, 52568, 51140, 61073, 51331, 54210, 51461, 51420, 50949, 54079, 51159, 51774, 51100, 51614, 51100, 51515, 51110, 51440, 51124, 53722, 51894, 51171, 51991, 50791, 54906, 52302, 50946, 51538, 50791, 56828, 50848, 51623, 51768, 51331, 57469, 51515, 56709, 56632, 51440, 51420, 57244, 51273, 50828, 51515, 51100, 51440, 51110, 52043, 51100, 50909, 78464, 54162, 52676, 51273, 53351, 50898, 54586, 51273, 63325, 53711, 51669, 59488, 52319, 54712, 51216, 50849, 53458, 51189, 51614, 51189, 51434, 51189, 51808, 51189, 52769, 51189, 50988, 51991, 50791, 54906, 52302, 51042, 51538, 50791, 56828, 50848, 51623, 51768, 51156, 63043, 50935, 50805, 51361, 57244, 51098, 59072, 51204, 51320, 54968, 51098, 50812, 51614, 50897, 51434, 50897, 51808, 50897, 52769, 53834, 51759, 59120, 51493, 51420, 54586, 51273, 52972, 50898, 58017, 51098, 50849, 51660, 51100, 51440, 50897, 52806, 51100, 51607, 50897, 50903, 51759, 56353, 54128, 55593, 54210, 51273, 50812, 52745, 50897, 51808, 50812, 51660, 50836, 51669, 51420, 57841, 51493, 52972, 50898, 50883, 55929, 51191, 51434, 51103, 51607, 51103, 52043, 51103, 51774, 51103, 51332, 51991, 50791, 54906, 52302, 50988, 51538, 50791, 56828, 50885, 51538, 51768, 51331, 57469, 50847, 51077, 51361, 57244, 51461, 60940, 51141, 51320, 53294, 51461, 53351, 50898, 54586, 51461, 70096, 53711, 51808, 50917, 55243, 51124, 51434, 50917, 51669, 75478, 52319, 56328, 51493, 51124, 53202, 51191, 51434, 51894, 51440, 51486, 51607, 51894, 53369, 51894, 51515, 51486, 51164, 51538, 51320, 54892, 50946, 51538, 50791, 62231, 50885, 51623, 51768, 51331, 63043, 50847, 51077, 51361, 57244, 51140, 60940, 51141, 51320, 53294, 51140, 51159, 51320, 50949, 52129, 51156, 54411, 52419, 58028, 51331, 50949, 51453, 50962, 68515, 51191, 52745, 51189, 51434, 51189, 51808, 51191, 51669, 51191, 51614, 51191, 51791, 51991, 50791, 54906, 52302, 50988, 51538, 50791, 56828, 51042, 51623, 51768, 51331, 57469, 50847, 51077, 51361, 57244, 52659, 62552, 51141, 52963, 54459, 52659, 50836, 51808, 50849, 52745, 50849, 51614, 51100, 51434, 50849, 51320, 54586, 52659, 70096, 55551, 51614, 51100, 51440, 50897, 52745, 50917, 51607, 50897, 51955, 52319, 56328, 51273, 66947, 51614, 50836, 52745, 50812, 51808, 50812, 51669, 50812, 55929, 51191, 51434, 51189, 51607, 51189, 51669, 50836, 52043, 51189, 51774, 51189, 51332, 51538, 50791, 54906, 52302, 50988, 51623, 50791, 56828, 50885, 51623, 51768, 51331, 57469, 50847, 51446, 51361, 61968, 51461, 60940, 51204, 50791, 54162, 52676, 51461, 50849, 51774, 51124, 51434, 51110, 51607, 51100, 52043, 51100, 51320, 54586, 51150, 51420, 53662, 52568, 52659, 50849, 52745, 51100, 51434, 50897, 51808, 50897, 51669, 50897, 50903, 51331, 54210, 51668, 51420, 50949, 62987, 51124, 51434, 51191, 51440, 51191, 51607, 51191, 52806, 51307, 51660, 51159, 50946, 51991, 52963, 50962, 51402, 54658, 50885, 51538, 52963, 62231, 51216, 51100, 50868, 51623, 50903, 71523, 57469, 51660, 55969, 56632, 51434, 63490, 57244, 51669, 55792, 51077, 51320, 53294, 52419, 53351, 50898, 54586, 52419, 60596, 53711, 51434, 77540, 58972, 51759, 56328, 54128, 51100, 53202, 50914, 51515, 51159, 51434, 51191, 51440, 51191, 51607, 51191, 53369, 51894, 51164, 51991, 50791, 54906, 52302, 50946, 51538, 50791, 56828, 50885, 51623, 51768, 51331, 57469, 51515, 50897, 50847, 56632, 51434, 67425, 57244, 51140, 77540, 51189, 50850, 51446, 52963, 53294, 51140, 52972, 50898, 54586, 51140, 75263, 53662, 50817, 51955, 51331, 50962, 51453, 63574, 51614, 51189, 53458, 50914, 52769, 51307, 51434, 51189, 51808, 51189, 50988, 51991, 51320, 54892, 51042, 51538, 50791, 56828, 50848, 51538, 51768, 51331, 57469, 50847, 52605, 51614, 51187, 57244, 51098, 59724, 51446, 51320, 53294, 51098, 51159, 51808, 50917, 51614, 50917, 51434, 55593, 54906, 64849, 56312, 51434, 50897, 51614, 50917, 51607, 52848, 51098, 61073, 52319, 54712, 51434, 50812, 51669, 50812, 51614, 50828, 50799, 52664, 51307, 51683, 51307, 52091, 51307, 52295, 51307, 51461, 50914, 51774, 51189, 51660, 51191, 51434, 51191, 51607, 51191, 51332, 51538, 51320, 54892, 50988, 51623, 50791, 56828, 50885, 51077, 51768, 51331, 53732, 58236, 59589, 51361, 57244 ]

[ 0, 250, 15352, 30054, 1619, 2214, 11, 5, 3495, 8, 13134, 23409, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 17691, 28430, 6, 26432, 636, 3938, 22052, 6, 8, 21979, 9590, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 8, 211, 119, 6, 2351, 10, 19448, 8, 8728, 5466, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50449, 50722, 50290, 51679, 65851, 51312, 50899, 52256, 50997, 52136, 50871, 51965, 51261, 64835, 50908, 51638, 54344, 51251, 54344, 51154, 52397, 52602, 52011, 55858, 66583, 50877, 51233, 50424, 50722, 50295, 52188, 50425, 51560, 51377, 54439, 50955, 50997, 51884, 51026, 52059, 50956, 52482, 50856, 51258, 52481, 51166, 51638, 51697, 51426, 51387, 51088, 51432, 50429, 50989, 50959, 58319, 54378, 67692, 50437, 50722, 50290, 51477, 63808, 75440, 52256, 50899, 52256, 50871, 52441, 51261, 51241, 64852, 51638, 52397, 51251, 52397, 51154, 52025, 52602, 52256, 60027, 51233, 64852, 50460, 50722, 50295, 51172, 50461, 51088, 51387, 54594, 50878, 51026, 51852, 50956, 52048, 51560, 51221, 50856, 51258, 51638, 51737, 51426, 51387, 52481, 54298, 50418, 77663, 55902, 66401, 67692, 50425, 50722, 50290, 60324, 51261, 64835, 50908, 52602, 52011, 51638, 52618, 51251, 52618, 51154, 52397, 50427, 50906, 51212, 50899, 52441, 50997, 52256, 50871, 52441, 63174, 50892, 50437, 79046, 54498, 50861, 56923, 53858, 50871, 50892, 50449, 61331, 51108, 51154, 51166, 52065, 53010, 52776, 52059, 50450, 51086, 52059, 50956, 51233, 50861, 52034, 51098, 51178, 50856, 51258, 51088, 51387, 50459, 50899, 59854, 50722, 50292, 51108, 54206, 51312, 71527, 50900, 53164, 50307, 51466, 51150, 64835, 50908, 51699, 52618, 51299, 52397, 52143, 51333, 51426, 52397, 50425, 50722, 50295, 51097, 53523, 51363, 50856, 59445, 69766, 51097, 51887, 51079, 51883, 51387, 51426, 51697, 51154, 51432, 62322, 76147, 52059, 50956, 52059, 50871, 52482, 51140, 51178, 50856, 51258, 50441, 51378, 71696, 51026, 55876, 51027, 64827, 58811, 51199, 64057, 52378, 50899, 52188, 50871, 52378, 51261, 51121, 64852, 52602, 51432, 51638, 51387, 51251, 51387, 51154, 51387, 50451, 50997, 54771, 50861, 50978, 54708, 57243, 69766, 51679, 51426, 52025, 51154, 52025, 51887, 52256, 51883, 54211, 54578, 51363, 51140, 51218, 53143, 53349, 66583, 51027, 52454, 50307, 66719, 51330, 55592, 51258, 50427, 51026, 57250, 51378, 53193, 51026, 68522, 51027, 61842, 52602, 51074, 51638, 51737, 62335, 52511, 50306, 51884, 50871, 52063, 51261, 51221, 58811, 51199, 64852, 51251, 52192, 51154, 52782, 50439, 50997, 55200, 54708, 57740, 50861, 50892, 50449, 69766, 50995, 51426, 52025, 51154, 52397, 76400, 52056, 50956, 52056, 50871, 51333, 51140, 51218, 53143, 53584, 50908, 51887, 51330, 51883, 52025, 73867, 51411, 55524, 50844, 58916, 50932, 50856, 51258, 50418, 50871, 53728, 57660, 50424, 61522, 50425, 50997, 52048, 58811, 51244, 52602, 52460, 51638, 53892, 51251, 54521, 51154, 61211, 53337, 52378, 50871, 52378, 51261, 64835, 75717, 50902, 51411, 62204, 56923, 53858, 50906, 50892, 50449, 50722, 50296, 54980, 50997, 52063, 50900, 51884, 50916, 51884, 50877, 51043, 51461, 51377, 50856, 51258, 51638, 52179, 51299, 51862, 51301, 52179, 52143, 51432, 50459, 50861, 59854, 69766, 51097, 51154, 55586, 51883, 54829, 51426, 55586, 56310, 52460, 50956, 52034, 50871, 52034, 50861, 51411, 64852, 51887, 51884, 50415, 51140, 51127, 50425, 52143, 77008, 69766, 60095, 50908, 73343, 54100, 50989, 50892, 50722, 50298, 50892, 55903, 58694, 52907, 51753, 57267, 50845, 61331, 50892, 52876, 53349, 51258, 50443, 58916, 55103, 50877, 50845, 54033, 60062, 58811, 51637, 51154, 55574, 64057, 52048, 50899, 52378, 50871, 52048, 50906, 51312, 51261, 64835, 50908, 51638, 54344, 51251, 53697, 52602, 51466, 54852, 51411, 50856, 63026, 51560, 51221, 50722, 50295, 51199, 54439, 50844, 50997, 52063, 50956, 52063, 50861, 52063, 50856, 51258, 51638, 52192, 51426, 52192, 51088, 52192, 52481, 51432, 50430, 50989, 53513, 50861, 55167, 67692, 50437, 79046, 51283, 62335, 52056, 50899, 51806, 50906, 51312, 51261, 51241, 64852, 51251, 56615, 52602, 51806, 51638, 54344, 51154, 54344, 69332, 51806, 60027, 51363, 50856, 59119, 51560, 51221, 50722, 50295, 51097, 51638, 52192, 51426, 51697, 51088, 51432, 54594, 50844, 50956, 52216, 50302, 52063, 50861, 51884, 50856, 51258, 52481, 51432, 50417, 50989, 50959, 50421, 50861, 54252, 67692, 50425, 58811, 51878, 60564, 51212, 50899, 52378, 50997, 51738, 50871, 52056, 51261, 64835, 50908, 51251, 54344, 52602, 51466, 51638, 52397, 51154, 52397, 63174, 53913, 50861, 56923, 53858, 50871, 50892, 50449, 58699, 51108, 52776, 56989, 51086, 51884, 50871, 51884, 50861, 52063, 50956, 51363, 75113, 50856, 51258, 51154, 52192, 52065, 51387, 51088, 51697, 50459, 50899, 59854, 55008, 51380, 54206, 51109, 51150, 64835, 50908, 52143, 51333, 51299, 52025, 51426, 52397, 51088, 52397, 50415, 50956, 52056, 50900, 71562, 51466, 50425, 61331, 51108, 53523, 51363, 50856, 59445, 51154, 52192, 62322, 50878, 51027, 52482, 50956, 52059, 50871, 52059, 51140, 51221, 69766, 51312, 50856, 51258, 51883, 52192, 51426, 51824, 51887, 51074, 50441, 51378, 53783, 51026, 55118, 51027, 64913, 50722, 50290, 51419, 64057, 51212, 50871, 51333, 51261, 51377, 56631, 54493, 50908, 51638, 52731, 51251, 52192, 51154, 52731, 52602, 50972, 50451, 50997, 53164, 50306, 69173, 50861, 51212, 54708, 58449, 51154, 54228, 54578, 51233, 69766, 51283, 53143, 53864, 50908, 51883, 54228, 51426, 54211, 51887, 52441, 50415, 51140, 51218, 56947, 50878, 51027, 52378, 50956, 52048, 50871, 52048, 50856, 51258, 50429, 51378, 53193, 51026, 55167, 51027, 52691, 50997, 50892, 51261, 51221, 50722, 50290, 51199, 56631, 59295, 50908, 51638, 52731, 51251, 52192, 52602, 51166, 50439, 50899, 52059, 50871, 52059, 50997, 52460, 51154, 52101, 58365, 50905, 54708, 58145, 51154, 56374, 56415, 51411, 51140, 51417, 69766, 51283, 53143, 53612, 50908, 51887, 52441, 51426, 54228, 51883, 56374, 55524, 64709, 51258, 74850, 53728, 50861, 54252, 50871, 63750, 50871, 52460, 58811, 51080, 52602, 52034, 51251, 55584, 51638, 55197, 51154, 55197, 56759, 52059, 50899, 52059, 50902, 51312, 51261, 51218, 50856, 52958, 50876, 56923, 53858, 50906, 74299, 55008, 54980, 50997, 71451, 78912, 65351, 51043, 51461, 68659, 51258, 52143, 51470, 51638, 52731, 51299, 52192, 51301, 52192, 50460, 50861, 59854, 61331, 50932, 51883, 56329, 51299, 55586, 51154, 55586, 56310, 52056, 50956, 52056, 50871, 52056, 64852, 51887, 51824, 74354, 51312, 51140, 51127, 50425, 69766, 51961, 52143, 51884, 53645, 70946, 59445, 52907, 51376, 63809, 53535, 50307, 51470, 50856, 51258, 69332, 51376, 55895, 50844, 50900, 52845, 50307, 71562, 51333, 51461, 51218, 53410, 59295, 50908, 52143, 52441, 51299, 54228, 51426, 54228, 51088, 54228, 50453, 51086, 53820, 50900, 50822, 56343, 54655, 50861, 50867, 54594, 50892, 50722, 50292, 51312, 52876, 56500, 50908, 53502, 50905, 50425, 50722, 50291, 51480, 51154, 52731, 52776, 55752, 51086, 69442, 65721, 51166, 52659, 51377, 61405, 53612, 51258, 52065, 52192, 51088, 52731, 50427, 51086, 51363, 55203, 50955, 50900, 52256, 50956, 52256, 50861, 52441, 53410, 59295, 50908, 51299, 54211, 51426, 54211, 51088, 54228, 52143, 53674, 50439, 51150, 51241, 50441, 51086, 50955, 55513, 50844, 56343, 61082, 50861, 60062, 50722, 50292, 50995, 56222, 50845, 52876, 53612, 54038, 50900, 77197, 61331, 51172, 51154, 51697, 52776, 52518, 57542, 69442, 65721, 52511, 50303, 51233, 51098, 51221, 55142, 59539, 51258, 52065, 51387, 51088, 51737, 53523, 52256, 50956, 52256, 51026, 52256, 51150, 51218, 53410, 61212, 50908, 51299, 52025, 51426, 52011, 51088 ]

[ 0, 250, 8787, 3495, 15229, 11, 230, 538, 6, 42, 2125, 1931, 21683, 11098, 8, 657, 149, 63, 15352, 30054, 2301, 8, 20425, 619, 4, 590, 10, 2635, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 18399, 6, 17407, 30, 10, 16331, 33215, 13931, 9, 211, 6, 3676, 406, 6, 211, 73, 717, 6, 8, 230, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50796, 50796, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 50916, 50825, 57947, 61111, 50443, 50899, 53114, 58254, 73137, 50916, 51381, 50447, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 50916, 50825, 57910, 51062, 61243, 50899, 50825, 54852, 50827, 57910, 51027, 51080, 50916, 51680, 50417, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 51627, 50441, 61335, 57947, 50999, 53086, 58254, 51220, 62182, 50900, 54043, 57910, 51062, 52989, 70265, 58254, 51220, 55371, 57127, 57947, 61111, 50455, 51086, 53217, 58254, 73137, 51027, 56517, 65113, 57910, 77670, 54852, 50827, 59715, 51050, 51080, 51027, 68026, 76350, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 51080, 50916, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 50861, 50825, 57472, 57910, 51027, 51080, 50440, 50916, 51627, 50441, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 68026, 51680, 50417, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 61022, 57947, 50999, 53086, 58254, 51220, 62182, 50899, 54043, 57910, 51062, 52989, 60906, 58254, 51220, 55371, 50899, 50825, 57947, 61111, 50455, 50900, 53217, 70265, 58254, 51220, 54529, 57127, 57910, 51062, 61243, 51086, 50825, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 70265, 58254, 51220, 55371, 65113, 57947, 50999, 53176, 58254, 51220, 54529, 51085, 50827, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 60906, 57947, 50999, 53086, 58254, 51220, 62182, 50900, 54043, 57910, 51062, 52989, 61335, 58254, 51220, 55371, 57947, 61111, 50455, 51086, 53176, 58254, 51220, 54529, 65113, 57910, 77670, 54852, 50827, 59715, 51050, 51080, 51027, 76350, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57127, 57910, 51062, 61243, 51086, 50825, 54852, 50827, 57910, 51027, 51080, 51027, 52062, 50417, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 61111, 51086, 57131, 58254, 51220, 65241, 51086, 62908, 57910, 77670, 54852, 50827, 59715, 50900, 51283, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 70265, 58254, 51220, 53720, 60906, 57910, 51062, 52788, 57472, 59715, 51050, 79193, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 57910, 51027, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 57910, 51027, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 54852, 50827, 59715, 51050, 74317, 57947, 50999, 53004, 58254, 51220, 53591, 57910, 51062, 52580, 58254, 51220, 54889, 57947, 50999, 52739, 58254, 51220, 53720, 57910, 51062, 52788, 57472, 59715, 51050, 79869, 57947, 50999, 53086, 58254, 51220, 54043, 57910, 51062, 52989, 58254, 51220, 55371, 57947, 50999, 53176, 58254, 51220, 54529, 57910, 77670, 55524, 50827, 57472, 57947, 51279, 51172, 50417, 61022, 57472, 50876, 53591, 51279, 50827, 61022, 57472, 50876, 52580, 51279, 51172, 50435, 51214, 52788, 51279, 55608, 51279, 53086, 51214, 52985, 51279, 55371, 61022, 57472, 57947, 51214, 51172, 50459, 61022, 57472, 57947, 54578, 50827, 57472, 57947, 51247, 51172, 50417, 58529, 57472, 50876, 53591, 51247, 50827, 50871, 51680, 50877, 51680, 50876, 51680, 50426, 51247, 51172, 50435, 52206, 52788, 51247, 55608, 51247, 54043, 51247, 52989, 51247, 50827, 58529, 57472, 50876, 55371, 51247, 50827, 58529, 57472, 50876, 53176, 51214, 50838, 53997, 51172, 50916, 51627, 50861, 51627, 50876, 51627, 50423, 51085, 52580, 51085, 51172, 50435, 51324, 50827, 65058, 67668, 50973, 52788, 51085, 51172, 50916, 58794, 58327, 75102, 51324, 52989, 51085, 50827, 61022, 58219, 50876, 55371, 51324, 51172, 50899, 51172, 50861, 51172, 50973, 51172, 55547, 58753, 51592, 50916, 51592, 50877, 75856, 51279, 53591, 51214, 52580, 51279, 54889, 51214, 53720, 51214, 52788 ]

[ 0, 250, 25306, 19834, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 41, 9066, 8, 814, 12, 21330, 5466, 4, 1515, 24496, 6, 6755, 1177, 26660, 1634, 6, 33704, 5675, 8, 26432, 636, 3938, 22052, 6, 8, 15054, 17838, 35810, 561, 7, 1045, 10, 2933, 8, 23975, 2369, 18795, 4, 8504, 11, 83, 3694, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 24, 1575, 10, 33215, 16739, 9, 381, 6, 274, 6, 274, 10431, 406, 6, 230, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 51996, 51449, 53151, 74818, 57889, 50812, 53215, 52296, 53879, 50812, 52371, 51620, 53398, 50812, 52143, 52765, 53448, 50812, 51887, 51628, 54959, 50812, 52481, 52262, 55403, 50812, 52316, 51724, 57478, 50812, 53148, 52831, 55323, 50812, 52065, 51820, 53941, 50812, 51883, 52513, 53827, 50812, 51251, 51757, 53011, 50812, 51299, 52809, 54648, 50812, 51154, 51754, 55724, 50812, 51426, 52567, 59624, 50812, 70058, 50799, 53215, 54153, 51883, 54153, 50711, 50289, 54153, 55308, 54153, 50659, 50301, 50795, 57375, 51428, 50812, 53440, 54657, 68007, 50795, 60819, 52732, 56133, 50843, 53383, 59173, 50795, 56531, 51428, 50836, 53764, 53705, 68007, 50795, 60819, 52732, 56579, 50843, 59701, 50843, 53891, 59420, 50795, 56511, 51428, 50836, 54268, 54305, 68888, 50795, 56577, 52732, 56518, 50798, 53886, 60230, 50795, 54841, 52732, 50857, 54710, 54199, 50659, 50301, 50795, 57375, 51428, 50836, 55975, 50857, 50799, 68007, 50795, 60819, 52732, 50857, 53440, 54657, 59173, 50795, 56531, 51428, 55155, 50843, 53383, 68007, 50795, 60819, 52732, 50857, 53764, 61699, 50843, 53705, 59420, 50795, 56511, 51428, 55310, 50843, 53891, 68888, 50800, 56577, 52154, 58545, 60230, 50795, 54841, 51428, 50836, 54032, 56518, 71291, 50800, 54610, 52154, 54086, 52602, 54153, 51638, 54153, 50711, 50290, 54153, 54277, 54153, 50659, 50301, 50795, 57375, 51428, 50836, 54710, 54199, 68007, 50795, 60819, 52732, 50857, 55975, 50857, 50799, 59173, 50795, 56531, 51428, 50836, 53440, 54657, 68007, 50795, 60819, 52732, 56133, 50843, 50857, 59915, 53383, 59420, 50795, 56511, 51428, 50836, 53764, 53705, 68888, 50795, 56577, 52732, 50857, 56215, 53574, 60230, 50795, 54841, 52732, 50857, 54268, 54305, 50659, 50301, 50795, 57375, 51428, 55932, 50843, 54086, 68007, 50795, 60819, 52732, 50857, 54710, 54199, 59173, 50795, 56531, 51428, 50836, 55975, 50857, 50799, 68007, 50795, 60819, 52732, 50857, 53440, 65942, 50843, 54657, 59420, 50795, 56511, 51428, 55155, 50843, 53383, 68888, 50800, 56577, 52154, 57050, 60230, 50795, 54841, 51428, 53695, 50843, 56579, 71291, 50800, 54610, 52154, 53891, 54333, 54153, 52065, 54153, 50711, 50291, 54153, 56117, 54153, 50659, 50301, 50795, 57375, 51428, 50836, 54268, 54305, 68007, 50795, 60819, 52732, 56518, 50843, 54086, 59173, 50795, 56531, 51428, 50836, 54710, 54199, 68007, 50795, 60819, 52732, 50857, 55975, 59854, 50843, 50857, 50799, 59420, 50795, 56511, 51428, 50836, 53440, 54657, 68888, 50795, 56577, 52732, 56133, 50798, 53425, 60230, 50795, 54841, 52732, 50857, 53764, 53705, 50659, 50301, 50795, 57375, 51428, 55310, 50843, 53891, 68007, 50795, 60819, 52732, 50857, 54268, 54305, 59173, 50795, 56531, 51428, 55932, 50843, 54086, 68007, 50795, 60819, 52732, 50857, 54710, 62802, 50843, 54199, 59420, 50795, 56511, 51428, 50836, 55975, 50857, 50799, 68888, 50800, 56577, 52154, 59240, 60230, 50795, 54841, 51428, 50836, 52399, 56133, 71291, 50800, 54610, 52154, 53383, 51887, 54153, 51154, 54153, 56708, 54153, 51996, 54153, 50659, 50301, 50795, 57375, 51428, 50836, 53764, 53705, 68007, 50795, 60819, 52732, 56579, 50843, 53891, 59173, 50795, 56531, 51428, 50836, 54268, 54305, 68007, 50795, 60819, 52732, 56518, 50843, 60062, 50843, 54086, 59420, 50795, 56511, 51428, 50836, 54710, 54199, 68888, 50795, 56577, 52732, 57400, 50798, 50836, 50799, 60230, 50795, 54841, 52732, 50857, 53440, 54657, 50659, 50301, 50795, 57375, 51428, 55155, 50843, 53383, 68007, 50795, 60819, 52732, 50857, 53764, 53705, 59173, 50795, 56531, 51428, 55310, 50843, 53891, 68007, 50795, 60819, 52732, 50857, 54268, 62801, 50843, 54305, 59420, 50795, 56511, 51428, 55932, 50843, 54086, 68888, 50800, 56577, 52154, 57168, 60230, 50795, 54841, 51428, 53875, 50843, 57400, 71291, 50800, 54610, 52154, 50857, 50799, 52196, 51103, 52560, 50828, 52197, 64391, 50812, 50416, 52560, 55221, 52560, 61923, 52560, 52981, 52560, 57466, 52560, 54069, 52560, 53756, 62046, 52560, 52905, 52560, 54119, 50812, 50428, 52560, 54694, 52560, 54119, 64123, 52560, 52844, 52560, 76494, 59890, 52560, 54002, 52560, 58414, 52560, 53219, 53339, 51413, 52560, 50828, 53286, 51413, 50843, 75804, 52560, 54735, 52560, 54119, 70981, 52560, 52878, 52560, 54119, 61094, 52560, 54255, 52560, 75223, 61216, 52560, 53035, 52560, 75223, 69008, 52560, 54363, 52560, 58014, 52560, 52738, 52560, 54119, 62371, 52560, 54370, 52560, 54119, 60091, 52560, 50828, 50799, 51946, 51189, 52560, 50836, 52464, 62343, 54080, 54235, 53351, 52710, 50843, 50812, 53764, 52749, 52665, 51591, 55662, 50836, 53367, 51591, 51456, 53574, 52560, 55250, 50812, 54268, 52597, 50843, 54672, 54235, 50380, 54936, 52555, 51553, 53875, 55662, 55250, 54421, 50843, 50812, 50799, 52196, 51103, 52560, 50828, 52197, 64391, 50812, 50416, 52560, 55221, 52560, 61923, 52560, 52981, 52560, 57466, 52560, 54069, 52560, 53756, 62046, 52560, 52905, 52560, 54119, 50812, 50428, 52560, 54694, 52560, 54119, 64123, 52560, 52844, 52560, 76494, 59890, 52560, 54002, 52560, 58414, 52560, 53219, 52560, 54119, 57577, 53339, 51413, 53286, 51413, 50440, 52560, 54735, 52560, 54119, 70981, 52560, 52878, 52560, 54119, 61094, 52560, 54255, 52560, 75223, 61216, 52560, 53035, 52560, 75223, 69008, 52560, 54363, 52560, 58014, 52560, 52738, 52560, 54119, 62371, 52560, 54370, 52560, 54119, 60091, 52560, 50828, 50799, 51946, 51191, 52560, 50836, 52464, 62288, 54080, 54235, 53351, 52710, 50843, 50812, 53764, 52749, 51836, 51591, 55662, 50836, 52253, 51591, 51456, 53574, 52560, 55250, 50812, 54268, 52597, 50843, 54672, 54235, 50380, 54936, 52555, 51553, 53875, 55662, 55250, 54421, 50843, 50812, 50799, 53339, 51103, 55662, 50828, 53286, 64391, 50812, 50416, 55662, 55221, 55662, 61923, 55662, 52981, 55662, 57466, 55662, 54069, 55662, 53756, 62046, 55662, 52905, 55662, 54119, 50812, 50428, 55662, 54694, 55662, 54119, 64123, 55662, 52844, 55662, 76494, 59890, 55662, 54002, 55662, 58414, 55662, 53219, 53916, 51103, 55662, 50828, 53859, 51103, 50843, 75804, 55662, 54735, 55662, 54119, 70981, 55662, 52878, 55662, 54119, 61094, 55662, 54255, 55662, 75223, 61216, 55662, 53035, 55662, 75223, 69008, 55662, 54363, 55662, 58014, 55662, 52738, 55662, 54119, 62371, 55662, 54370, 55662, 54119, 60091, 55662, 50828, 50799, 52196, 51189, 55662, 50836, 52197, 62343, 54080, 54138, 53351, 52710, 50843, 50812, 53764, 52749, 53064, 51591, 52351, 50836, 53331, 51591, 51456, 53574, 55662, 55250, 50812, 54268, 52597, 50843, 54672, 54138, 50380, 54936, 52555, 51553, 53875, 52351, 55250, 54421, 50843, 50812, 50799, 51996, 51413, 55662, 50828, 52804, 73717, 50812, 50416, 55662, 55221, 55662, 61923, 55662, 52981, 55662, 57466, 55662, 54069, 55662, 53756, 62046, 55662, 52905, 55662, 54119, 50812, 50428, 55662, 54694, 55662, 54119, 64123, 55662, 52844, 55662, 76494, 59890, 55662, 54002, 55662, 58414, 55662, 53219, 51836, 51413, 55662, 50828, 52253, 51413, 50843, 75804, 55662, 54735, 55662, 54119, 70981, 55662, 52878, 55662, 54119, 61094, 55662, 54255, 55662, 75223, 61216, 55662, 53035, 55662, 75223, 69008, 55662, 54363, 55662, 58014, 55662, 52738, 55662, 54119, 62371, 55662, 54370, 55662, 54119, 60091, 55662, 50828, 50799, 52196, 51189, 55662, 50828, 52197, 62343, 50812, 50416, 55662, 55221, 55662, 61923, 55662, 52981, 55662, 57466, 55662, 54069 ]

[ 0, 713, 20425, 8, 15352, 30054, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 1575, 10, 11577, 11739, 9, 38668, 483, 6, 20535, 2810, 6, 21979, 8669, 6, 17605, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 14899, 12447, 1001, 20889, 9, 23272, 163, 5683, 4, 20, 15229, 3905, 10, 33215, 16739, 9, 274, 6, 274, 401, 6, 230, 406, 6, 272, 119, 6, 8, 230, 6, 8216, 7, 63, 33558, 8, 32076, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50799, 55239, 57974, 55723, 51468, 50799, 62446, 55239, 51468, 51361, 52742, 55723, 51468, 50799, 61934, 51293, 50799, 51715, 52388, 63223, 69418, 52928, 61934, 55084, 51715, 52388, 53063, 51230, 52388, 52600, 61934, 51998, 51230, 52388, 60930, 79805, 52725, 61934, 51998, 51230, 52388, 52579, 51230, 52388, 50820, 66325, 51732, 51201, 51732, 51690, 51732, 51230, 52388, 51877, 63603, 50832, 61732, 50832, 61044, 79466, 61266, 50832, 50835, 52111, 58646, 50832, 50835, 51544, 79466, 65760, 50832, 50835, 56096, 80029, 79466, 51872, 59347, 50832, 57540, 50832, 50835, 51570, 79466, 57927, 50832, 50835, 52260, 60862, 50832, 66847, 79466, 57854, 50832, 50835, 57730, 52802, 51441, 52388, 52270, 64314, 50832, 58677, 50832, 53017, 51441, 52388, 58965, 69536, 52215, 56172, 69536, 50799, 51441, 52388, 70325, 69536, 56130, 60740, 79349, 52270, 56856, 50832, 56982, 50832, 52762, 51441, 52388, 56670, 50832, 50834, 51999, 59651, 50832, 50834, 51361, 79349, 58608, 50832, 50834, 57336, 53040, 51340, 52388, 52139, 64562, 50832, 59808, 50832, 68202, 76494, 57757, 50832, 50834, 52283, 58078, 50832, 53057, 51340, 52388, 61425, 50832, 50834, 56584, 52579, 51340, 52388, 52139, 56399, 50832, 55971, 50832, 50820, 55669, 51187, 76494, 55614, 50832, 50820, 51921, 59346, 50832, 52761, 55896, 75455, 60170, 50832, 50820, 56957, 50820, 72886, 75455, 52100, 59551, 50832, 56657, 50832, 52417, 55896, 75455, 58406, 50832, 50839, 52224, 57320, 50832, 52950, 55896, 75455, 63337, 50832, 50839, 56568, 53044, 55896, 75455, 52100, 57854, 50832, 58560, 50832, 50839, 51382, 51239, 75455, 57150, 50832, 74784, 61250, 50832, 53268, 54161, 63209, 56637, 50832, 61994, 50832, 50841, 50799, 54161, 63209, 51700, 70325, 50832, 63094, 50832, 53223, 54161, 63209, 58158, 50832, 50841, 52111, 59761, 50832, 50841, 65591, 63209, 60568, 50832, 50841, 56096, 52667, 54161, 63209, 51700, 58608, 50832, 58694, 50832, 53116, 54001, 75224, 59901, 50832, 50828, 52260, 58829, 50832, 52878, 54001, 75224, 61312, 50832, 50828, 57730, 50828, 51382, 51179, 75224, 52240, 61425, 50832, 58014, 50832, 52738, 54001, 75224, 61160, 50832, 50828, 52215, 57498, 50832, 50828, 50799, 54001, 75224, 72083, 50832, 50828, 56130, 53576, 54001, 75224, 52240, 60170, 50832, 62239, 50832, 50846, 51302, 51135, 68336, 61749, 50832, 50846, 51999, 59476, 50832, 52927, 61394, 68336, 60063, 50832, 50846, 57336, 53442, 61394, 68336, 51989, 63337, 50832, 61110, 50832, 53239, 61394, 68336, 61722, 50832, 50818, 52283, 57868, 50832, 75324, 51135, 68336, 68317, 50832, 50818, 56584, 52349, 54074, 69574, 51903, 56637, 50832, 56904, 50832, 50818, 50799, 54074, 69574, 56868, 50832, 50818, 51921, 58100, 50832, 52432, 57397, 54553, 51041, 69574, 59013, 50832, 50818, 56957, 50884, 80164, 69574, 51903, 70690, 50832, 62357, 50832, 53230, 57397, 54965, 51041, 69574, 65109, 50832, 50884, 52224, 59653, 50832, 53418, 54074, 69574, 67268, 50832, 50884, 56568, 53806, 57397, 53832, 51139, 50386, 52388, 52546, 61312, 50832, 60374, 50832, 50884, 51382, 51139, 50386, 52388, 60376, 50832, 50895, 52145, 60305, 50832, 53650, 57397, 53119, 51139, 50386, 52388, 65083, 50832, 64601, 50832, 50895, 55669, 51139, 50386, 52388, 52546, 70426, 50832, 64174, 50832, 54031, 57397, 54172, 51139, 50386, 52388, 50961, 67001, 50895, 52111, 61953, 50832, 50895, 51302, 51130, 69186, 68388, 50832, 50895, 56096, 52975, 56242, 52764, 51130, 69186, 52683, 59382, 50832, 60281, 50832, 53294, 55737, 64916, 50832, 50883, 53012, 54586, 56242, 54047, 51130, 50949, 51382, 51130, 50949, 53061, 54210, 56242, 53474, 51130, 50949, 50799, 57397, 53834, 51437, 57900, 51989, 53829, 52103, 50854, 51713, 51739, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52103, 50854, 51713, 54627, 50898, 51877, 53230, 55853, 59178, 51257, 50844, 52970, 50833, 52099, 51052, 53908, 51963, 50854, 51776, 54362, 52103, 50854, 51713, 53056, 51437, 51877, 53806, 54747, 50849, 52664, 51218, 51683, 51029, 54967, 52725, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 53887, 50898, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52777, 51877, 53230, 56072, 74329, 50892, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52777, 51877, 53685, 55617, 51424, 50290, 50892, 51762, 50799, 57397, 53834, 51437, 51877, 53829, 52103, 50833, 51713, 51508, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52103, 50822, 51713, 54627, 50898, 51877, 53230, 55853, 59178, 51257, 50844, 52970, 50808, 52099, 51508, 53908, 51963, 50810, 51776, 51724, 52103, 50810, 51713, 51730, 51437, 51877, 53806, 54747, 50849, 51683, 53363, 52306, 52442, 60899, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 53887, 50898, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52777, 51877, 53230, 56072, 74329, 50892, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52777, 51877, 53685, 57397, 74049, 50892, 52777, 50820, 70200, 50799, 57397, 50849, 52408, 53769, 51437, 51877, 59912, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52412, 50805, 52777, 51877, 53230, 55853, 59178, 51257, 50844, 52276, 51141, 51762, 51450, 51437, 51877, 53806, 54747, 50849, 60899, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52987, 50805, 52777, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 52276, 51141, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52987, 50805, 52777, 51877, 53230, 56072, 74329, 50892, 52408, 50805, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52412, 50805, 52777, 51877, 53685, 57397, 74049, 50892, 53112, 50805, 51762, 50799, 57397, 50849, 52412, 51654, 51437, 51877, 53829, 52276, 51582, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52276, 50805, 52777, 51877, 53230, 55853, 59178, 51257, 50844, 52987, 50805, 61767, 52276, 51747, 51437, 51877, 53806, 54747, 50849, 52276, 50805, 60899, 56072, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 53887, 50898, 51877, 53685, 57397, 51189, 55853, 59178, 51257, 50844, 52408, 50805, 51762, 51528, 51437, 51877, 53829, 55617, 51424, 50290, 50892, 58522, 54747, 51424, 50292, 50892, 52777, 51877, 53230, 56072, 74329, 50892, 61767, 56242, 51424, 50295, 54788, 51437, 51877, 53806, 56072, 74329, 50892, 60899, 54747, 51424, 50292, 50892, 52777, 51877, 53685, 57397, 74049, 56362, 50820, 50799, 57397, 50849, 52408, 53769, 51437, 51877, 59912, 52639, 57397, 50849, 52495, 50805, 52248, 50805, 52269, 50805, 55853, 59178, 51257, 50844, 52412, 52764, 50898, 51877, 53230, 55853, 59178, 51257, 50844, 52412, 51204, 51762, 51450, 51437, 51877, 53806, 54747, 50849, 60899, 56072, 50849, 52495, 50805 ]

[ 0, 713, 5175, 2214, 6, 30291, 19, 4785, 9, 14123, 3495, 6, 16, 10, 13363, 28191, 11739, 9, 34879, 8, 33569, 4, 20, 3459, 8669, 6, 6755, 12547, 6, 13305, 6, 31391, 1672, 9590, 6, 8, 38668, 2236, 45552, 833, 7, 1045, 10, 2216, 2369, 18795, 14, 19615, 1626, 227, 11098, 8, 15073, 4, 590, 10, 182, 1769, 20889, 9, 27983, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 20902, 1007, 1328, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 83, 401, 6, 163, 119, 406, 6, 83, 73, 717, 6, 381, 6, 8, 211, 73, 717, 6, 1271, 5581, 8, 13879, 7, 63, 1374, 3184, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 67004, 50796, 53550, 57854, 51224, 52802, 51289, 50835, 50799, 51223, 51056, 51513, 51267, 51181, 52266, 50801, 62128, 52641, 51729, 50905, 51350, 52839, 67109, 51729, 50878, 51350, 59577, 50877, 51091, 51040, 64291, 51362, 55340, 51218, 55314, 51446, 50804, 51464, 60966, 51195, 50845, 51659, 50845, 52320, 51306, 50458, 51729, 50942, 51350, 50942, 51349, 53275, 50311, 53363, 51086, 54143, 50899, 52919, 54008, 51353, 53679, 75582, 50870, 50799, 52622, 50422, 51265, 50924, 51349, 54919, 51545, 51111, 51910, 51158, 52622, 50434, 51350, 58866, 51195, 50937, 51265, 50849, 51349, 51575, 57282, 52802, 51350, 50865, 51545, 51121, 51910, 51177, 50852, 55259, 50908, 50799, 51223, 51073, 51513, 51073, 51181, 51585, 55340, 51714, 55314, 51894, 52352, 50985, 52966, 51729, 51177, 51350, 51177, 52622, 50434, 51729, 50959, 51350, 58450, 51040, 51295, 76233, 50916, 51417, 50804, 51464, 59265, 51195, 50854, 51659, 54276, 50801, 59075, 67076, 51729, 50925, 51350, 50925, 51086, 53753, 50861, 51307, 50899, 54249, 53679, 51359, 59255, 75195, 54026, 51349, 50893, 50799, 51983, 50422, 51265, 50924, 51195, 71818, 51349, 58292, 51545, 50833, 51545, 50911, 51910, 51178, 69620, 51265, 50917, 51265, 50967, 51349, 51626, 51467, 53166, 51545, 50917, 51910, 51121, 50852, 50891, 57268, 50863, 50799, 51223, 51159, 51513, 51016, 51181, 51941, 55340, 51353, 55314, 51945, 67955, 58409, 52155, 50859, 52671, 52422, 51729, 50892, 51350, 50838, 52008, 50434, 51729, 50942, 51350, 50878, 52202, 50924, 51596, 59826, 50877, 51294, 51040, 51295, 50916, 51191, 52352, 50934, 50820, 52155, 51159, 52671, 75626, 51659, 50942, 51195, 55125, 51990, 69608, 53796, 50908, 51596, 51178, 52202, 51255, 50458, 51350, 50854, 51368, 50925, 51729, 50942, 51349, 53275, 50303, 53753, 50861, 51307, 50899, 55844, 53679, 51151, 54008, 52151, 50801, 50870, 52155, 50910, 52671, 50865, 50799, 52008, 50422, 51265, 51173, 51349, 50948, 52202, 51294, 52182, 65183, 51545, 50977, 51910, 67300, 60600, 79302, 51350, 54181, 51195, 50977, 51265, 50893, 51349, 53543, 51467, 50908, 54027, 50914, 54809, 56508, 51545, 50866, 51350, 50865, 51910, 54754, 50361, 50958, 50908, 54120, 51194, 52182, 51100, 50458, 54027, 54153, 52155, 54834, 50799, 51223, 51073, 51513, 51073, 51181, 51941, 55340, 51047, 55314, 59578, 56402, 52966, 51350, 50901, 51729, 51177, 52008, 50434, 51729, 50959, 51350, 55467, 51040, 51218, 50916, 51413, 50877, 51189, 55340, 79802, 54958, 50934, 57854, 51195, 50854, 51659, 53097, 55038, 52008, 50458, 51729, 50925, 51350, 50897, 51349, 52370, 50303, 52222, 50899, 52151, 50861, 52069, 53679, 51036, 59255, 75582, 50863, 50799, 52008, 50422, 51265, 50833, 51195, 50873, 51349, 50845, 56101, 59386, 51545, 50912, 51545, 50866, 51910, 50917, 52008, 57794, 51006, 50434, 60850, 58946, 51265, 50917, 51195, 51060, 51684, 50873, 52352, 50934, 53790, 50837, 56101, 51051, 50446, 51195, 50866, 56101, 55514, 51545, 50987, 51545, 50977, 51910, 51100, 53076, 51235, 50852, 50908, 57794, 52063, 50458, 52004, 51470, 50799, 51265, 51177, 51181, 51538, 52700, 50991, 55340, 51353, 55314, 51945, 51206, 53735, 58640, 51265, 53881, 51265, 51177, 52700, 52938, 51258, 50434, 51265, 50937, 52700, 50889, 50437, 50877, 51291, 51040, 51562, 50916, 51472, 53550, 51437, 64807, 51545, 50917, 53076, 55178, 57936, 51258, 50457, 51086, 53233, 50899, 55844, 50458, 51265, 50925, 51349, 53275, 50311, 53753, 51924, 51013, 53679, 51151, 54008, 52151, 50801, 50837, 50799, 52008, 50422, 51265, 50938, 79646, 51390, 58632, 51545, 50873, 51910, 51178, 51924, 51159, 52008, 50434, 51265, 60175, 52896, 51425, 50846, 51990, 50897, 51265, 50924, 51349, 51575, 55536, 53068, 51368, 50924, 51368, 50873, 51910, 50938, 53076, 51110, 53360, 50958, 67076, 52004, 50977, 50799, 51265, 51100, 51181, 51591, 52700, 51345, 55340, 51047, 55314, 59578, 52348, 58115, 51265, 53881, 51265, 51242, 52700, 50854, 51983, 50434, 51265, 50942, 52700, 52424, 51040, 51562, 50877, 51291, 50916, 51472, 55340, 79802, 76824, 59673, 51545, 50942, 53076, 57197, 58018, 72204, 51265, 50822, 51349, 70717, 51449, 51086, 51445, 50861, 51151, 51924, 51413, 53679, 51036, 59255, 51307, 50799, 51960, 50422, 51265, 50938, 51195, 51060, 51349, 60777, 52966, 51545, 50878, 51545, 51121, 51910, 51194, 58663, 51990, 50938, 51265, 50849, 51349, 61467, 54839, 51467, 52846, 51368, 50865, 51368, 51328, 51910, 50901, 53076, 51235, 50852, 63343, 52004, 51824, 50799, 51265, 50849, 51181, 51161, 52700, 51345, 55340, 51353, 55314, 51945, 50801, 52771, 58409, 51265, 57630, 51265, 50905, 52700, 55690, 51693, 50434, 51265, 50977, 52700, 55965, 51040, 51397, 76233, 50916, 51446, 50804, 51437, 59265, 51545, 50938, 53076, 68031, 51990, 51121, 61670, 68716, 50899, 51313, 51086, 51714, 50458, 51265, 50937, 51349, 53275, 50311, 51151, 51924, 50889, 53679, 51151, 54008, 52151, 50801, 50863, 50799, 52008, 50422, 51265, 50938, 51349, 50952, 51390, 59621, 52917, 51545, 51177, 51910, 51194, 51924, 51112, 52008, 50434, 51265, 58450, 51990, 50917, 51265, 50805, 51349, 50948, 52352, 50985, 54835, 53068, 51368, 50938, 51368, 50873, 51910, 50937, 53076, 70808, 63343, 52004, 50987, 50799, 51265, 51060, 51181, 52311, 52700, 51112, 55340, 51047, 55314, 51605, 67955, 61183, 51265, 53450, 51265, 51121, 52700, 55690, 65627, 51265, 50942, 52700, 52424, 50877, 51241, 51040, 65480, 51362, 55340, 79802, 50804, 51437, 59265, 51545, 50808, 51265, 50937, 51181, 51030, 53076, 51255, 50450, 51545, 50938, 51957, 77387, 52465, 73068, 51350, 51307, 51355, 51307, 51780, 51264, 51857, 51685, 50916, 51264, 51924, 51204, 51089, 66595, 51023, 62321, 51208, 53233, 55314, 51307, 59255, 59578, 54026, 51086, 51353, 50989, 51353, 50799, 59676, 52700, 51116, 58539, 50434, 53076, 50943, 53550, 51467, 50908, 56041, 53166, 51857, 51212, 51390, 51194, 50852, 62476, 51957, 77568, 51181, 50910, 51924, 51894, 50801, 50908, 54281, 51991, 50916, 51151, 50877, 52069, 50899, 51894, 51086, 52222, 55314, 51353, 56336, 51359, 57936, 52872, 59247, 51496, 52008, 50427, 51023, 52337, 51570, 54835, 53044, 61454, 50983, 50446, 51020, 52096, 60487, 53796, 63343, 51374, 50855, 53679, 51151, 54008, 51313, 50801, 59789, 64351, 51364, 54281, 52097, 52622, 74354, 51422, 50899, 51161, 50916, 51486, 51086, 51677, 51083, 51801, 51544, 66284, 72787, 51218, 50434, 51640, 69561, 50863, 51570, 54835, 58560, 63689, 75355, 51137, 61986, 58820, 56772, 68226, 52024, 54468, 51036, 50899, 52149, 50877, 52121, 51086, 52121, 50916, 52250, 53679, 51801, 57756, 51801, 67955, 50863, 51544, 51129, 53550, 51467, 50891, 52320, 67076, 51390, 50921, 56682, 51307, 52004, 51460, 50801, 52465, 52976, 53076, 51175, 58663, 51390, 63011, 51406, 60402, 51590, 51500, 50450, 50852, 61034, 51229, 51655, 50799, 51223, 51159, 51513, 51159, 51181, 51161, 55340, 51353, 55314, 51945, 50801, 52348, 52872, 51729, 50892, 51350, 53021, 51306, 50434, 51729, 50942, 51350, 50942, 50437, 52414, 51535, 51656, 51562, 50438, 51040, 51397, 76233, 50916, 51446, 50804, 51467, 59265, 51195, 50901, 51659, 55125, 50801, 52465, 54616, 75281, 52187, 51293, 50457, 50899, 51313, 51086, 51714, 50458, 51729, 50942, 51350, 50942, 51349, 53275, 50311, 51151, 53679, 51151, 54008, 52151, 50801, 50908, 50799, 51983, 50422, 51265, 50924, 51349 ]

[ 0, 250, 1144, 26016, 3495, 1619, 1011, 625, 14, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 4246, 10, 24897, 11739, 9, 13305, 6, 21979, 8669, 6, 23338, 33518, 1264, 6, 21979, 9590, 6, 8, 33704, 5675, 22052, 6, 70, 278, 11, 10, 20902, 155, 73, 306, 86, 6543, 19, 10, 12701, 4450, 20889, 11, 5, 762, 9, 12608, 3694, 6, 25, 5, 33215, 16739, 9, 274, 10431, 406, 6, 230, 10431, 119, 406, 6, 274, 10431, 406, 6, 163, 119, 1176, 406, 6, 8, 163, 401, 18399, 17928, 5, 30443, 149, 42, 18452, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50634, 50903, 51003, 51768, 54498, 50903, 50932, 51034, 50903, 51003, 51768, 54498, 50903, 50932, 51034, 51560, 51803, 57713, 76299, 50810, 51197, 51939, 51751, 51277, 52280, 51258, 52280, 51518, 52527, 51518, 50415, 52046, 51745, 51197, 51745, 50871, 51745, 57302, 51745, 50422, 53978, 51037, 51051, 51768, 63739, 61382, 50997, 51145, 50861, 51314, 50906, 52212, 50847, 51310, 51992, 50901, 50427, 50997, 53751, 50307, 79237, 51237, 56825, 51735, 50434, 53978, 51751, 52441, 53016, 53813, 57580, 62436, 51277, 53016, 50924, 79807, 53751, 50307, 53751, 50302, 51745, 56825, 51237, 50446, 51261, 50955, 53673, 50979, 50933, 53085, 50859, 51034, 51560, 51803, 51976, 50810, 51197, 52168, 51751, 51277, 51760, 51709, 51850, 51480, 51992, 51709, 50415, 51234, 51745, 50861, 51870, 56825, 51870, 50422, 52066, 50997, 51244, 51037, 51470, 53016, 51058, 53727, 50978, 56176, 50978, 51768, 63739, 59280, 50956, 54532, 50906, 51447, 50902, 51314, 50951, 51703, 50427, 50997, 53751, 50306, 51237, 79841, 50434, 52066, 51751, 53674, 51760, 51174, 51850, 56180, 50903, 58849, 51373, 62436, 51108, 79807, 53751, 50302, 51745, 50899, 51745, 53016, 50873, 53727, 50901, 56176, 50892, 56825, 51735, 50446, 51261, 50955, 52066, 50997, 50955, 65491, 51034, 51560, 51803, 51976, 50822, 51197, 52015, 51751, 51277, 53016, 51662, 50415, 51197, 51745, 52046, 51745, 50861, 51870, 51992, 52140, 53085, 51939, 52527, 51939, 56825, 51870, 56363, 51148, 50422, 52066, 51037, 51051, 51768, 78627, 61382, 50900, 51535, 50979, 51310, 77095, 53751, 50307, 51237, 64551, 51381, 50434, 52066, 51751, 52441, 59015, 51373, 69937, 51233, 51037, 51277, 79807, 53751, 50304, 53751, 50307, 51237, 56825, 51735, 50446, 51261, 50955, 52066, 63062, 50447, 51197, 52140, 51034, 51560, 51803, 51976, 50810, 51751, 51277, 52280, 51677, 52527, 51939, 53016, 50925, 50415, 51234, 51745, 50861, 51745, 56825, 51745, 50421, 51037, 71437, 52066, 50997, 51244, 53016, 51417, 51768, 63739, 59280, 50861, 54532, 50906, 51447, 51001, 51314, 51081, 51703, 50979, 51310, 50427, 50956, 53751, 50312, 51745, 57734, 51237, 50434, 52066, 51751, 52441, 59015, 58849, 51373, 62436, 52518, 50439, 50956, 51735, 50861, 51735, 50906, 51735, 56482, 51735, 50445, 78242, 50446, 51261, 50955, 52066, 50997, 50955, 51992, 50812, 51034, 52157, 51803, 51976, 50822, 50931, 52845, 50290, 52519, 52021, 51277, 52527, 51709, 51850, 51480, 52943, 51709, 56482, 51870, 50415, 51247, 51745, 51050, 51745, 50906, 51870, 50422, 52066, 51037, 51470, 53085, 51058, 56447, 50978, 56176, 50978, 51768, 78627, 61382, 50871, 52034, 50997, 56615, 50956, 52378, 50965, 52378, 50427, 50956, 53751, 50312, 51237, 50979, 51253, 50434, 52066, 52021, 53674, 52527, 51174, 51850, 56180, 50903, 51373, 58963, 53131, 50312, 55505, 50316, 52858, 50307, 52378, 51037, 51108, 55045, 51237, 50439, 50956, 51745, 50965, 51745, 50876, 51745, 53085, 50873, 56447, 50901, 56176, 75406, 51140, 50955, 52066, 50979, 50959, 78459, 51803, 51976, 67316, 53164, 50290, 51965, 51037, 51423, 51760, 51709, 51850, 51480, 52943, 51709, 57302, 59939, 50415, 51234, 51745, 50871, 53174, 50422, 52066, 50872, 51210, 71262, 53016, 51058, 53727, 50978, 56176, 50978, 51768, 63739, 59280, 50997, 55197, 50899, 52048, 50965, 52378, 70574, 68100, 50992, 50995, 51007, 50995, 51257, 51242, 50427, 51176, 53751, 50306, 51237, 50434, 52066, 51257, 51376, 51760, 51174, 51850, 56180, 50903, 58849, 51373, 61895, 52063, 50871, 51884, 50965, 53726, 50906, 53726, 73360, 50439, 51176, 51745, 50899, 51745, 50992, 51380, 51007, 51380, 51257, 51277, 53016, 50873, 53727, 50901, 56176, 75406, 51140, 50955, 52066, 51257, 51142, 73831, 51803, 51976, 50822, 51147, 51199, 51247, 52618, 51164, 51277, 50415, 51247, 51745, 51050, 51745, 50900, 53174, 50871, 53898, 50422, 52066, 69047, 52527, 50827, 53085, 50867, 52943, 50867, 56176, 50854, 51768, 78627, 61382, 50871, 54011, 50307, 50912, 51176, 51142, 50900, 63406, 51310, 50427, 50956, 53751, 50312, 51237, 59409, 51470, 50434, 52066, 51164, 52441, 59015, 51373, 64774, 52666, 50307, 61582, 54191, 50312, 54191, 50319, 51051, 75098, 50439, 50965, 51745, 50956, 51745, 52527, 51709, 53085, 51806, 56176, 51709, 50440, 52943, 51576, 50444, 51147, 67267, 51150, 50955, 52066, 50979, 50933, 51034, 52157, 51803, 51976, 50810, 51234, 51939, 51037, 51277, 51760, 51677, 51850, 51939, 53727, 50925, 50415, 51234, 51745, 50899, 53174, 50418, 53016, 53728, 50997, 51803, 50421, 68064, 50422, 52066, 53727, 51417, 51768, 63739, 59280, 50899, 51148, 50939, 51310, 79351, 53751, 50309, 51870, 58783, 51283, 50434, 52066, 51037, 52441, 59015, 58849, 62445, 50965, 50981, 50872, 52518, 69332, 53751, 50312, 51237, 50442, 53016, 63959, 50906, 50972, 50445, 68683, 50446, 51140, 50955, 52066, 52943, 50812, 51034, 52157, 51790, 51976, 50822, 51001, 53164, 50290, 51965, 52021, 51277, 52527, 51709, 51850, 51480, 52943, 51709, 57734, 51745, 50415, 50965, 53751, 50285, 51745, 51050, 51745, 50422, 52066, 51037, 51470, 53085, 51058, 56447, 50978, 56176, 50978, 51768, 78627, 61382, 50997, 55197, 50956, 52048, 50965, 52378, 70574, 56482, 51237, 50427, 50956, 51735, 50965, 51735, 50906, 51237, 50979, 51253, 50434, 52066, 52021, 53674, 52527, 51174, 51850, 56180, 50903, 51373, 66966, 52063, 50871, 51884, 50965, 53726, 50876, 53726, 51037, 51108, 56482, 51237, 50439, 50906, 53751, 50307, 53751, 50312, 51237, 53085, 50873, 56447, 50901, 56176, 75406, 51140, 50878, 52066, 50979, 50959, 51034, 52157, 51790, 51976, 50810, 51147, 52845, 50290, 52519, 51037, 51233, 51760, 51709, 51850, 51480, 52943, 51709, 56482, 51870, 50415, 51234, 51745, 50906, 51870, 50422, 52066, 51164, 51961, 51037, 51008, 53016, 51058, 53727, 50978, 56176, 50978, 51768, 63739, 59280, 50997, 56615, 50965, 52378, 50899, 52056, 50871, 52056, 78889, 68100, 50939, 50995, 51007, 50995, 50427, 50899, 53751, 50312, 51237, 50434, 52066, 51760, 51174, 51850, 56180, 50903, 58849, 62445, 50997, 79452, 52059, 50871, 51797, 50965, 53161, 51164, 50981, 78889, 50872, 51337, 73367, 51007, 51481, 56482, 51237, 50439, 50965, 53751, 50314, 53751, 50306, 51237, 53016, 50873, 53727, 50901, 56176, 75406, 51140, 50878, 52066, 50902, 51210, 50872, 51365, 66249, 51007, 50933, 78459, 51803, 51976, 50822, 51147, 51199, 51234, 52618, 52021, 51277, 56482, 51870, 50415, 51247, 51745, 51050, 51745, 50906, 51870, 50422, 52066, 51037, 51470, 52527, 50827, 53085, 50867, 52943, 50867, 56176, 50854, 51768, 78627, 61382, 50871, 54011, 50307, 50912, 51176, 51142, 50997, 51079, 50427, 50956, 53751, 50312, 51237, 50979, 51253, 59409, 51470, 50434, 52066, 52021, 53674, 59015, 73843, 50997, 52666, 50307, 61582, 54191, 50312, 54191, 50319, 51051, 51037, 51108, 56482, 51237, 50439, 50906, 53751, 50307, 53751, 50312, 51237, 52527, 51709, 53085, 51806, 56176, 51709, 50440, 52943, 51576, 50444, 51147, 67267, 51140, 50955, 52066, 50979, 50959, 78459, 51267, 51976, 50810, 50931, 51199, 51234, 52618, 51037, 51277, 51760, 51218, 51850, 51477, 56482, 51745, 50415, 51234, 51745, 50906, 51745, 50421, 50872, 51470, 50422, 52066, 50423, 53727, 76186, 52157, 51253, 50903, 63739, 59280, 50871, 54011, 50306, 50907, 51176, 51365, 50997, 54558, 50314, 51253, 55045, 51745, 50427, 50899, 53751, 50312, 53751, 50316 ]

[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 814, 6, 4246, 17465, 8244, 22778, 6, 1515, 21305, 6, 17035, 873, 2401, 6, 6755, 12547, 6, 8, 20535, 2810, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 7212, 20889, 6, 42, 765, 2214, 3905, 10, 33215, 16739, 9, 12608, 6, 2060, 119, 1176, 406, 6, 12608, 6, 8, 274, 119, 6, 2351, 10, 25306, 5466, 19, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50799, 51426, 50930, 54295, 50887, 52970, 50887, 56815, 78275, 50878, 50418, 51488, 50930, 52489, 50887, 52425, 69388, 51488, 50930, 52489, 50887, 52425, 67415, 51426, 50930, 54295, 50887, 52970, 50887, 56815, 55060, 66942, 51395, 50930, 51906, 50887, 52099, 50887, 56815, 55060, 56799, 51395, 50930, 51906, 50887, 52099, 50887, 56815, 55060, 50878, 50436, 51395, 56082, 51906, 54300, 52099, 54300, 56815, 56082, 50804, 66092, 51673, 58063, 77836, 52604, 50887, 53061, 60425, 52604, 53988, 61242, 50804, 57185, 52604, 58063, 50878, 71467, 50952, 50418, 52251, 73489, 51827, 51933, 50804, 50878, 57363, 50878, 54321, 50878, 50433, 50804, 50878, 54141, 50925, 57048, 50855, 57688, 50855, 53061, 63152, 51426, 50930, 54295, 50887, 52970, 50887, 58240, 78275, 64175, 51488, 50930, 52489, 50887, 52425, 50887, 50799, 51488, 50930, 52489, 50887, 52425, 69736, 51426, 50930, 54295, 50887, 52970, 50887, 58240, 55060, 62270, 51395, 50930, 51906, 50887, 52099, 50887, 58240, 55060, 55640, 51395, 50930, 51906, 50887, 52099, 50887, 58240, 55060, 77554, 51395, 52017, 51906, 54300, 52099, 54300, 58240, 56082, 50804, 50897, 50440, 51673, 58063, 58937, 52604, 50887, 53526, 64072, 52604, 53988, 50836, 51382, 63793, 52604, 58063, 50897, 50455, 51673, 71428, 52251, 50952, 51601, 51827, 58668, 50897, 57493, 50897, 53951, 55640, 51182, 52195, 52480, 53988, 50897, 50428, 52171, 59974, 52480, 66428, 52171, 67980, 52480, 59046, 52171, 65268, 52480, 53988, 75901, 52171, 59846, 52480, 66607, 52171, 53988, 54465, 52480, 53988, 60520, 52171, 53988, 64072, 51629, 51566, 52970, 50887, 52489, 50887, 52338, 51073, 50694, 50276, 54780, 50897, 50452, 52489, 50887, 52099, 70332, 52489, 50887, 52099, 57661, 51629, 50911, 52970, 50887, 52489, 50887, 52695, 51472, 60244, 54780, 50897, 51601, 52489, 50887, 52099, 53988, 73362, 51394, 50911, 50419, 52489, 50887, 52099, 53988, 62270, 51182, 51566, 52489, 51073, 52099, 51073, 67312, 54780, 77119, 51395, 51566, 51683, 50887, 52099, 50887, 52338, 51073, 66168, 54780, 50897, 50437, 51906, 50887, 52425, 71647, 50804, 56442, 52489, 50887, 51683, 53988, 50836, 62177, 62426, 51201, 51566, 51906, 50887, 52425, 50887, 54541, 51073, 58240, 54780, 50897, 50448, 52489, 50887, 51683, 50887, 50452, 52970, 50887, 52489, 55433, 51905, 51566, 51906, 51073, 52103, 51933, 52541, 51472, 67312, 54780, 50897, 52198, 50897, 51601, 50804, 50897, 50419, 51304, 51566, 52425, 51073, 60244, 54780, 69270, 51394, 51566, 51683, 51073, 51946, 51073, 58240, 54780, 50897, 55935, 59693, 50804, 66425, 50804, 56442, 51811, 51566, 52489, 50887, 52099, 50887, 51836, 51472, 50694, 50276, 54780, 50897, 50445, 52099, 50887, 52747, 66429, 52099, 50887, 52747, 50887, 50452, 51811, 50911, 52099, 51472, 52747, 51472, 60244, 54780, 50897, 56871, 61076, 51690, 50911, 55985, 50897, 51601, 51811, 51566, 52541, 51073, 67312, 54780, 55640, 51304, 51566, 52099, 50887, 52747, 50887, 51836, 51073, 66168, 78275, 69270, 52489, 50887, 52099, 54937, 50804, 59890, 52099, 50887, 52747, 53988, 50836, 55935, 53574, 51905, 51033, 51713, 51655, 52366, 51655, 53916, 51073, 58240, 54780, 50897, 50441, 51304, 51033, 50445, 51629, 51033, 50449, 51394, 51566, 51836, 51073, 67312, 54780, 50897, 57857, 50897, 56871, 50897, 50460, 51690, 52195, 53151, 51073, 60244, 54780, 50897, 57731, 53343, 51073, 66167, 78275, 50897, 54321, 50836, 57096, 53695, 50804, 59890, 51811, 52266, 52970, 50887, 52489, 50887, 52338, 51073, 50694, 50276, 54780, 56057, 52489, 50887, 52099, 66607, 52489, 50887, 52099, 67356, 52970, 50887, 52489, 50887, 52695, 51472, 60244, 54780, 50897, 50449, 52489, 50887, 52099, 53988, 74505, 52489, 50887, 52099, 53988, 57313, 52489, 51073, 52099, 51073, 67312, 54780, 50897, 52591, 51304, 51566, 51683, 50887, 52099, 50887, 52338, 51073, 66168, 54780, 67761, 51906, 50887, 52425, 50887, 57363, 59953, 52489, 50887, 51683, 53988, 50836, 54321, 60519, 51905, 51566, 51906, 50887, 52425, 50887, 54541, 51073, 58240, 54780, 62408, 52489, 50887, 51683, 55395, 52970, 50887, 52489, 66607, 51304, 51566, 51906, 51073, 52103, 51933, 52541, 51472, 67312, 54780, 50897, 53526, 50897, 57048, 74505, 51394, 51566, 52425, 51073, 60244, 54780, 50897, 51809, 51905, 51033, 51683, 51073, 51946, 51073, 58240, 54780, 60724, 51304, 51033, 53951, 60892, 51394, 62567, 50836, 57363, 59953, 51304, 51566, 52489, 50887, 52099, 50887, 51836, 51472, 50694, 50276, 54780, 50897, 50431, 52099, 50887, 52747, 59046, 52099, 50887, 52747, 55395, 51629, 51566, 52099, 51472, 52747, 51472, 60244, 54780, 50897, 55258, 50897, 53526, 55620, 51395, 52195, 52541, 51073, 67312, 54780, 74369, 52099, 50887, 52747, 50887, 51836, 51073, 66168, 78275, 50897, 51809, 52489, 50887, 52099, 50887, 57493, 54402, 52099, 50887, 52747, 53988, 50836, 53951, 60892, 51905, 51033, 51713, 51655, 52366, 51655, 53916, 51073, 58240, 54780, 75027, 51304, 51033, 50431, 51629, 73073, 51394, 51566, 51836, 51073, 67312, 54780, 75901, 50804, 50897, 55258, 62150, 51690, 51566, 53151, 51073, 60244, 54780, 77044, 51811, 51566, 53343, 51073, 50694, 50275, 55060, 64175, 50694, 50277, 71366, 66167, 50930, 51601, 60244, 55060, 58160, 58942, 55060, 62799, 58240, 55060, 54402, 51690, 52195, 51713, 51472, 52306, 51472, 52196, 51073, 55840, 57676, 50804, 50897, 50431, 52196, 58063, 68066, 51946, 58063, 75901, 51996, 58063, 50897, 50443, 51304, 52017, 51683, 51472, 52002, 51472, 52338, 58668, 69821, 51996, 58668, 50897, 52198, 50836, 56483, 50836, 51601, 50804, 58160, 52366, 50952, 51648, 51073, 51946, 58668, 50897, 50421, 52002, 50952, 50424, 51713, 50952, 50428, 51906, 51933, 51776, 51933, 52695, 51472, 50804, 57066, 50804, 50897, 52594, 75901, 51384, 52195, 50804, 55620, 51946, 58668, 50897, 56871, 50836, 54124, 50836, 55985, 59026, 51811, 52195, 51713, 51472, 52366, 51472, 52541, 51073, 58240, 57676, 50804, 50897, 59412, 52541, 58063, 50897, 50428, 51946, 58063, 57066, 51996, 58063, 50897, 50436, 51394, 52017, 51683, 51472, 51776, 51472, 52695, 58668, 68788, 51946, 58668, 50897, 57857, 50836, 55350, 53875, 50804, 60135, 52747, 50952, 51648, 51073, 52541, 58063, 50897, 50799, 51776, 50952, 51946, 50952, 50417, 52099, 50952, 52695, 50952, 50421, 51713, 51472, 51906, 51933, 51996, 51472, 50804, 50897, 57363, 50897, 59493, 57066, 51384, 52195, 50804, 50897, 50443, 51776, 51073, 51946, 58668, 50897, 57048, 50836, 57688, 50836, 53061, 60632, 51384, 52017, 51713, 51472, 52306, 51472, 52196, 51073, 58942, 57676, 50804, 50897, 52478, 52196, 58063, 50897, 50421, 51946, 58063, 50897, 50425, 51996, 58063, 77554, 51683, 51472, 52002, 51472, 52338, 58668, 50897, 50440, 51996, 58668, 50897, 64614, 50836, 52612, 50836, 57048, 63793, 51304, 52017, 52002, 50952, 51648, 51073, 51946, 58668, 50897, 50455, 51776, 69085, 51713, 50952, 50799, 51906, 51933, 51776, 51933, 51996, 51472, 50804, 50897, 57493, 50897, 53951, 50897, 57363, 50897, 50436, 51946, 58668, 50897, 55258, 50836, 54141, 50836, 53526, 64072, 51811, 52195, 51713, 51472, 52366, 51472, 52541, 51073, 58240, 57676, 50804, 64175, 52541, 58063, 50897, 50799, 51946, 58063, 79936, 51996, 58063, 62270, 51394, 52195, 51683, 51472, 51776, 51472, 52695, 58668, 77119, 51946, 58668, 50897, 53550, 50836, 60409, 50836, 55258, 54465, 51690, 52017, 52747 ]

[ 0, 250, 1769, 12, 20764, 15855, 8, 5175, 24904, 2125, 11, 274, 538, 6, 4246, 13305, 8, 38668, 2236, 4, 20, 2214, 7630, 6568, 10, 25306, 5466, 19, 10, 3344, 9, 2933, 8, 1372, 6711, 29, 6, 14156, 19601, 30, 15352, 30054, 8, 19448, 4785, 4, 85, 3905, 10, 112, 73, 306, 86, 6543, 8, 29130, 11, 23, 24462, 2397, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50636, 52274, 52274, 52274, 52552, 56587, 51290, 51050, 60138, 50943, 50799, 54414, 51196, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50902, 58204, 51101, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 51001, 56472, 67175, 53407, 51173, 50931, 58050, 62118, 53863, 51173, 50951, 63379, 68535, 53407, 51345, 50902, 51312, 50931, 56508, 54414, 51290, 51234, 52019, 50302, 64763, 58134, 60006, 50889, 50799, 53777, 51196, 51279, 51148, 51027, 73076, 51183, 50876, 51183, 51001, 56039, 53077, 51196, 51234, 51148, 50997, 51183, 50871, 51183, 50906, 51183, 50902, 51077, 79705, 51941, 51247, 51939, 51050, 51692, 50871, 51422, 50877, 51422, 50876, 51538, 50450, 56587, 51290, 51050, 60138, 50943, 50799, 54414, 51196, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50902, 58204, 51101, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 51001, 56472, 67175, 53407, 51173, 50931, 58050, 62118, 53863, 51173, 50951, 63379, 68535, 53407, 51345, 50902, 65910, 56508, 53077, 51173, 50906, 59374, 50805, 51234, 52019, 50294, 52019, 50299, 59827, 54414, 65022, 52415, 50314, 50873, 50799, 54812, 51196, 51085, 51148, 51027, 73076, 51183, 50877, 56039, 55062, 51196, 51085, 51148, 50997, 51183, 50900, 51183, 50916, 51183, 79721, 50799, 56587, 51196, 51050, 73657, 51183, 50900, 51183, 50871, 55834, 51247, 56692, 51050, 55247, 56587, 51055, 51050, 60138, 50943, 50799, 54414, 51551, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50902, 58204, 51101, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 51001, 56472, 67175, 53407, 51173, 50931, 58050, 62118, 53863, 51173, 50951, 63379, 68535, 53407, 51345, 50902, 51312, 50931, 56508, 54414, 51055, 51234, 52019, 50302, 64763, 60006, 50889, 50799, 53777, 51551, 51279, 51148, 51027, 73076, 51183, 50876, 51183, 51001, 56039, 53077, 51196, 50997, 51807, 50290, 64307, 51183, 50906, 51183, 50902, 66336, 51120, 51199, 50899, 50981, 79705, 51941, 51050, 51807, 50285, 64307, 51422, 50877, 51422, 50876, 78907, 51279, 68181, 51085, 51212, 63451, 77307, 56587, 51055, 51247, 51709, 50871, 50943, 50799, 54414, 51551, 51234, 51148, 50997, 51127, 50899, 51183, 50871, 51183, 50906, 56039, 53250, 51196, 51247, 51244, 51050, 51183, 50871, 51183, 50877, 51183, 50876, 51077, 77632, 51173, 50906, 60946, 50795, 51234, 51939, 50997, 51692, 50420, 53777, 51173, 50876, 68694, 52483, 53407, 51173, 50902, 62244, 52605, 53863, 51173, 51001, 61352, 52446, 53407, 51345, 50902, 73273, 55082, 53077, 51173, 50906, 59374, 50805, 51234, 52019, 50294, 52019, 50299, 59827, 54414, 65022, 61026, 50805, 50799, 54812, 51551, 51085, 79304, 73076, 51183, 50877, 56039, 55062, 51196, 50900, 51734, 50280, 51244, 51085, 51183, 50916, 51183, 79721, 64057, 51267, 51034, 56587, 51356, 51050, 52019, 50301, 51047, 74720, 50871, 67297, 51085, 54498, 51247, 50932, 52552, 56587, 71883, 78167, 50932, 50799, 53777, 51336, 51279, 51148, 51027, 73076, 51183, 50876, 51183, 51001, 56039, 53077, 51336, 51234, 51148, 50997, 51183, 50871, 51183, 50906, 51183, 50902, 51077, 79705, 51060, 50876, 56876, 51101, 51247, 51939, 51050, 51692, 50420, 54414, 51060, 50906, 55143, 67175, 53250, 51060, 50876, 56876, 62118, 53077, 51060, 50902, 58204, 68535, 53250, 51346, 50877, 51312, 50876, 56508, 56587, 51048, 51197, 52019, 50297, 52019, 50301, 63085, 59782, 50943, 78857, 51336, 51120, 51148, 51050, 51148, 50899, 73076, 51183, 50906, 51183, 50931, 56039, 53777, 51336, 51085, 51148, 51050, 79304, 51183, 50871, 51183, 50877, 51183, 51001, 51077, 77632, 51060, 50902, 58204, 51101, 51234, 51939, 51050, 51939, 50997, 51692, 50420, 53250, 51060, 50876, 56876, 67175, 53077, 51060, 50902, 58204, 62118, 53777, 51060, 51001, 56472, 68535, 53077, 51346, 50906, 63129, 56508, 54414, 51048, 50997, 62163, 50943, 77275, 51336, 51197, 51148, 50956, 51127, 50906, 51183, 51001, 51183, 50951, 56039, 53407, 51336, 51234, 51148, 50997, 51183, 50906, 51183, 50902, 51183, 50931, 51077, 50799, 53777, 51336, 51085, 79304, 51127, 72684, 50876, 51183, 51001, 56039, 53077, 51336, 50861, 51734, 50287, 51148, 51026, 51183, 50906, 51183, 50902, 51077, 56415, 51267, 79705, 51336, 51085, 79304, 51127, 50916, 51183, 50906, 51183, 50876, 56039, 53771, 51336, 52206, 51244, 51085, 51183, 72684, 50906, 51183, 50876, 51183, 50968, 51077, 78857, 51336, 51247, 78494, 61581, 51183, 50877, 51183, 50876, 51183, 50931, 55834, 52046, 51911, 50295, 56389, 51799, 52297, 50294, 61860, 56587, 51072, 52206, 70928, 53177, 50309, 51090, 50799, 54414, 51009, 53492, 51077, 51234, 51196, 50899, 51196, 50871, 51196, 50906, 51870, 50438, 53250, 51009, 51247, 51077, 51050, 51196, 50871, 51356, 50877, 51356, 50876, 51870, 77632, 50976, 50902, 52362, 50314, 51173, 51234, 51538, 50997, 51941, 50420, 53777, 50976, 51001, 64816, 68907, 53407, 50976, 50931, 76932, 70756, 53863, 50976, 50951, 52362, 50319, 76622, 53407, 51066, 50902, 51048, 50931, 64466, 54414, 51072, 51234, 73090, 75677, 70606, 51054, 50799, 53777, 51009, 51279, 50918, 51027, 51196, 50871, 51196, 50876, 51196, 51001, 51870, 50438, 53077, 51009, 50997, 52530, 50290, 59428, 51356, 50906, 51356, 50902, 51870, 50450, 51120, 60959, 51013, 79705, 51352, 51050, 52530, 50285, 61581, 51941, 50877, 51941, 50876, 52369, 50426, 51279, 61120, 51085, 51158, 63451, 55082, 56587, 51072, 51197, 52297, 50297, 75291, 70514, 53177, 50309, 51090, 78857, 51009, 51120, 50918, 51050, 65842, 51196, 50871, 51196, 50906, 51196, 50931, 51870, 50438, 53077, 51009, 51234, 51077, 51050, 51077, 50997, 51196, 50871, 51356, 50906, 51356, 50902, 51870, 50799, 53777, 50976, 51001, 68188, 51173, 50956, 51356, 51197, 51077, 50417, 50634, 50420, 53407, 50976, 50931, 52362, 50314, 51173, 50421, 50633, 50424, 50632, 50426, 53863, 50976, 50951, 52362, 50319, 51173, 50427, 50631, 50431, 50630, 50432, 54985, 50976, 50876, 71389, 57883, 50911, 50434, 50629, 50437, 50628, 50438, 50619, 56418, 50993, 51120, 51221, 50899, 51345, 50906, 51227, 50931, 51227, 51081, 51932, 50450, 50624, 53863, 62306, 75208, 52362, 50295, 76195, 70156, 61510, 53777, 61818, 51936, 50319, 50923, 77632, 51009, 51050, 65842, 51196, 50871, 51196, 50906, 51196, 50902, 51870, 50438, 53250, 51009, 50871, 53177, 50285, 51077, 51050, 51196, 50877, 51356, 50876, 51870, 62291, 51016, 51034, 54414, 51352, 51234, 51538, 51050, 51538, 50997, 51941, 50899, 51941, 50906, 52369, 52552, 50636, 51197, 52297, 50297, 75291, 70514, 53177, 50309, 51090, 54868, 50918, 51050, 65842, 51196, 50871, 51196, 50906, 51196, 50931, 51870, 50438, 51234, 51077, 51050, 51077, 50997, 51196, 50871, 51356, 50906, 51356, 50902, 51870, 57923, 68188, 51173, 50956, 51356, 51197, 51077, 50417, 50634, 63766, 52362, 50314, 51173, 50421, 50633, 50424, 50632, 50426, 50951, 52362, 50319, 51173, 50427, 50631, 50431, 50630, 59409, 71389, 57883, 50911, 50434, 50629, 50437, 50628, 50438, 50619, 51120, 51221, 50899, 51345, 50906, 51227, 50931, 51227 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 21979, 8669, 6, 13305, 6, 856, 17993, 6, 21979, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 18461, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 8593, 26358, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 274, 6, 211, 406, 6, 272, 406, 6, 8, 230, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50446, 51017, 58111, 67288, 50458, 50979, 50924, 51755, 50811, 51261, 51300, 76750, 60823, 51007, 51095, 50939, 51427, 50843, 50811, 50906, 55673, 65614, 55246, 50872, 51157, 51658, 50811, 51261, 51300, 50445, 50939, 75237, 51007, 55758, 50872, 69208, 50811, 50906, 55673, 63037, 69810, 50868, 51014, 65551, 67812, 50811, 51140, 51300, 50426, 50850, 51286, 50909, 51158, 50843, 61539, 58000, 65271, 66900, 50979, 51054, 51658, 50811, 51140, 51300, 50446, 50850, 62289, 55260, 50843, 61539, 58000, 65271, 72065, 50979, 51388, 50458, 50885, 51033, 57342, 73841, 50811, 51261, 51300, 50426, 70084, 51007, 51116, 50939, 51162, 50843, 50811, 50906, 55673, 65614, 62960, 50848, 51055, 51658, 50811, 51261, 51300, 50445, 51007, 63674, 51257, 54891, 51215, 51007, 51221, 50939, 51603, 50450, 51007, 77230, 50811, 50906, 58050, 65614, 75477, 50848, 64603, 51125, 67981, 50879, 65551, 50824, 50909, 52195, 50801, 50811, 51140, 51300, 50426, 50850, 51427, 50909, 51226, 50843, 61539, 54666, 57367, 50893, 50434, 50979, 51090, 51658, 50811, 51140, 51029, 50446, 50939, 61182, 64273, 55260, 50909, 50975, 50979, 51066, 50843, 61539, 57253, 51936, 50319, 75642, 51125, 50976, 54838, 51007, 65424, 50811, 51261, 51300, 51246, 51003, 50960, 51003, 50970, 51003, 50422, 51125, 52038, 51007, 63304, 50811, 51246, 50915, 70642, 50970, 62542, 58050, 56645, 50923, 50434, 51125, 52125, 51007, 52590, 50811, 51140, 51300, 51246, 50995, 64226, 50970, 50943, 50446, 52403, 50993, 57702, 50811, 51246, 50915, 50960, 51003, 50970, 64292, 60358, 56645, 50911, 50458, 51257, 51029, 50462, 50801, 50811, 51261, 51009, 51246, 50995, 64226, 50970, 50943, 50474, 51007, 53025, 50811, 51246, 50915, 50960, 51003, 50970, 64292, 60358, 56645, 50911, 50482, 51007, 51059, 51755, 50811, 51261, 51300, 51246, 50915, 50960, 51003, 50970, 57908, 50939, 54972, 50811, 51246, 51003, 50960, 51003, 50970, 58419, 60358, 61433, 50893, 50434, 50872, 55276, 50847, 70260, 50811, 51140, 51029, 51246, 50943, 50960, 51003, 70804, 50446, 50872, 52175, 50847, 63304, 50811, 51246, 50943, 74175, 50970, 72341, 55673, 56645, 50923, 50458, 50992, 50802, 63516, 79213, 50811, 51140, 51300, 51131, 51003, 76338, 51136, 50914, 55057, 50811, 51131, 51097, 65868, 51136, 60598, 63837, 57367, 50893, 53587, 51066, 59829, 51066, 51658, 50811, 51461, 51029, 51131, 50995, 65868, 51136, 50943, 59829, 50975, 53587, 50975, 50448, 55818, 50860, 53081, 52175, 50843, 50811, 73077, 66860, 51136, 60598, 57253, 57367, 50911, 50457, 57101, 50823, 61991, 50823, 51755, 50811, 51140, 51300, 73077, 71311, 51136, 51003, 50416, 55233, 52442, 53587, 52442, 50426, 51298, 62152, 50811, 73077, 71311, 51136, 60598, 57253, 57367, 50911, 50434, 51007, 55276, 51298, 70260, 50811, 51461, 51029, 51131, 51003, 76338, 51136, 50889, 50446, 51007, 54554, 51298, 62152, 50811, 51131, 50943, 50986, 50943, 51136, 59460, 63837, 51936, 50319, 50911, 50458, 51149, 50860, 50799, 51257, 68938, 50811, 51140, 51300, 51131, 51003, 50986, 50943, 51136, 50889, 50422, 51649, 54675, 51257, 62152, 50811, 51131, 51003, 50986, 50943, 51136, 59460, 63837, 67286, 50893, 50434, 51149, 53925, 51298, 51795, 50801, 50811, 51461, 51300, 51131, 50943, 50986, 50943, 51136, 55082, 50843, 50811, 51131, 50943, 66776, 51136, 74694, 56472, 57367, 50806, 51755, 50811, 51140, 51300, 51131, 51003, 76338, 51136, 57908, 51007, 63304, 50811, 51131, 51003, 71311, 51136, 60598, 63837, 67286, 50893, 50434, 51125, 52125, 51007, 55166, 50811, 51461, 51300, 51131, 50943, 50986, 50943, 72158, 50446, 51257, 53798, 50909, 55940, 50811, 76901, 66776, 51136, 74694, 56472, 57367, 50806, 76220, 65424, 50811, 51261, 50975, 51246, 50805, 59241, 50970, 50879, 50422, 52403, 51072, 50434, 51007, 66456, 52403, 52175, 68574, 76952, 54107, 50939, 65424, 68373, 51261, 50993, 71890, 50960, 51013, 50970, 64609, 64830, 50821, 50931, 74958, 51298, 51072, 51658, 68373, 51150, 50975, 51246, 50943, 57998, 51136, 70606, 50808, 77053, 50951, 54721, 51257, 52590, 68373, 51389, 50802, 51246, 50889, 50986, 51016, 50970, 72341, 64441, 50894, 50931, 50950, 50799, 51439, 59110, 50811, 51930, 51300, 51246, 50943, 51136, 51013, 50929, 50943, 59829, 54217, 53208, 54217, 55057, 50811, 51246, 50889, 77389, 50929, 58532, 58204, 70354, 66900, 51298, 52952, 51439, 70260, 50811, 51261, 51029, 51246, 50889, 51136, 51016, 50929, 56508, 50939, 52001, 50811, 51246, 50914, 51136, 51090, 50929, 57631, 52362, 50314, 67286, 71295, 77924, 51755, 50811, 51930, 51300, 51246, 50943, 51317, 51013, 75561, 50418, 50939, 51029, 55057, 50811, 51246, 51016, 51317, 51016, 50929, 58532, 59292, 57981, 50805, 51658, 50811, 51261, 51300, 51246, 50889, 51317, 51090, 50929, 55082, 51439, 63304, 50811, 51246, 50914, 51317, 51054, 50929, 63925, 61419, 62036, 74304, 53081, 51184, 54291, 51184, 50799, 51257, 61940, 50811, 51261, 51300, 51246, 50943, 50960, 51016, 50970, 51013, 55057, 50811, 51246, 51003, 74175, 50970, 72341, 58050, 72945, 50911, 50434, 51257, 52057, 51257, 55075, 50811, 51140, 51300, 51246, 50889, 56745, 59100, 50446, 51149, 52768, 51298, 54972, 50811, 71890, 50960, 50914, 50970, 70606, 68550, 52370, 50321, 50923, 50458, 51007, 51407, 51755, 50811, 51098, 51029, 51311, 50915, 56745, 50970, 54243, 50843, 50811, 51311, 50889, 74175, 50970, 63925, 64449, 58050, 61433, 50805, 51658, 50811, 51273, 51009, 51311, 51013, 50960, 51013, 50970, 55082, 50843, 50811, 51311, 51013, 50960, 51013, 50970, 55890, 64449, 58050, 61433, 59831, 68497, 76220, 55166, 50811, 51140, 50829, 51150, 51029, 51246, 50943, 66776, 70699, 50422, 51439, 51072, 55057, 50811, 51246, 50943, 50986, 51013, 50998, 60597, 57253, 62219, 60693, 66900, 51125, 52057, 51007, 55166, 50811, 51098, 51009, 51246, 50943, 57998, 74313, 50446, 51439, 54145, 50843, 50811, 51246, 50915, 50986, 51016, 50998, 62542, 56472, 62219, 60693, 59831, 51125, 50811, 76220, 70260, 50811, 51150, 51009, 51246, 50914, 66776, 50998, 50943, 50422, 51125, 54675, 51007, 62152, 50811, 51246, 50943, 66776, 50998, 64292, 56964, 75672, 60126, 73308, 51125, 52057, 51007, 65424, 50811, 51098, 51300, 51246, 50914, 59857, 50998, 50943, 50446, 50909, 51072, 57702, 50811, 51246, 50914, 50986, 51013, 50998, 62542, 54666, 75672, 60693, 50849, 50799, 51439, 65424, 50811, 51140, 51300, 51131, 51003, 50986, 50943, 72158, 50422, 51257, 54675, 51439, 62152, 50811, 51131, 50943, 76338, 51136, 59460, 58000, 57367, 66900, 51257, 55276, 51439, 70260, 50811, 51461, 51300, 51131, 51003, 50986, 50943, 51136, 50943, 50446, 51257, 54554, 51439, 54972, 50811, 76901, 66776, 51136, 59460, 56501, 57367, 69810, 78482, 51057, 51007, 70260, 50811, 71831, 51131, 50943, 66776, 72158, 50422, 50909, 52038, 51007, 54328, 50811, 51461, 50824, 51131, 51013, 57998, 51136, 51090, 76220, 70260, 50811, 51261, 50976, 51246, 50911, 50960, 50893, 50970, 57078, 52403, 59898, 51007, 66456, 52403, 54554, 50909, 51072, 76952, 65424, 68373, 51261, 50860, 51246, 50943, 50960, 51013, 50970, 67566, 50939, 70260, 68373, 51261, 50976, 51246, 50889, 50960, 51013, 59100, 50434, 50850, 52125, 50939, 70260, 68373, 51216, 50976, 59737, 50986, 51016, 59100, 50446, 50850, 54554, 50847, 54774, 68373, 51098, 50975, 51207, 50914, 51246, 51016, 74175, 61464, 65424, 50811, 51140, 51300, 51131 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 4246, 10, 38668, 483, 8, 20535, 483, 6, 278, 11, 230, 10431, 3694, 19, 41, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 15352, 30054, 8, 980, 219, 5466, 19, 11299, 8, 2933, 223, 34693, 6, 1490, 198, 10, 881, 21263, 9, 5, 2060, 119, 6, 381, 6, 230, 10431, 406, 6, 2060, 119, 6, 381, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 56256, 50901, 54000, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 56256, 50901, 54000, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 53441, 50901, 53411, 71423, 52751, 61000, 61107, 50901, 57763, 63867, 53378, 52654, 53441, 50901, 53411, 64627, 53015, 51736, 61107, 50854, 57763, 56529, 53441, 50901, 53378, 50810, 53411, 55306, 52751, 52831, 61107, 50854, 57763, 54746, 53441, 50901, 52751, 50800, 53411, 65586, 53378, 50810, 52751, 51757, 61107, 50854, 53378, 50810, 53190, 50800, 57763, 57622, 53441, 50901, 54097, 50795, 53411, 62533, 61107, 50854, 53378, 50810, 57763, 50854, 50799, 53441, 50901, 53411, 71423, 52751, 61000, 50732, 50274, 50901, 79699, 63867, 55537, 52654, 60100, 50901, 57832, 64627, 53015, 51736, 50732, 50274, 50854, 79699, 56529, 60100, 50901, 55537, 50810, 57832, 55306, 52751, 52831, 50732, 50274, 50854, 79699, 54746, 60100, 50901, 52751, 50800, 57832, 65586, 55537, 50810, 52751, 51757, 50732, 50274, 50854, 55537, 50810, 52751, 50800, 79699, 57622, 60100, 50901, 53190, 50795, 57832, 62533, 50732, 50274, 50854, 55537, 50810, 79699, 50854, 50799, 60100, 50901, 57832, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 56256, 50901, 54000, 71423, 52751, 61000, 67060, 50901, 55050, 63867, 54427, 52654, 56256, 50901, 54000, 64627, 53015, 51736, 67060, 50854, 55050, 56529, 56256, 50901, 54427, 50810, 54000, 55306, 52751, 52831, 67060, 50854, 55050, 54746, 56256, 50901, 52751, 50800, 54000, 65586, 54427, 50810, 52751, 51757, 67060, 50854, 54427, 50810, 52751, 50800, 55050, 57622, 56256, 50901, 53190, 50795, 54000, 62533, 67060, 50854, 54427, 50810, 55050, 50854, 50799, 56256, 50901, 54000, 71423, 52751, 61000, 61107, 50901, 57763, 63867, 53378, 52654, 53441, 50901, 53411, 64627, 53015, 51736, 61107, 50854, 57763, 56529, 53441, 50901, 53378, 50810, 53411, 55306, 52751, 52831, 61107, 50854, 57763, 54746, 53441, 50901, 52751, 50800, 53411, 65586, 53378, 50810, 52751, 51757, 61107, 50854, 53378, 50810, 53190, 50800, 57763, 57622, 53441, 50901, 54097, 50795, 53411, 62533, 61107, 50854, 53378, 50810, 57763, 50854, 50799, 53441, 50901, 53411, 71423, 52751, 61000, 50732, 50274, 50901, 79699, 63867, 55537, 52654, 60100, 50901, 57832, 64627, 53015, 51736, 50732, 50274, 50854, 79699, 56529, 60100, 50901, 55537, 50810, 57832, 55306, 52751, 52831, 50732, 50274, 50854, 79699, 54746, 60100, 50901, 52751, 50800, 57832, 65586, 55537, 50810, 52751, 51757, 50732, 50274, 50854, 55537, 50810, 52751, 50800, 79699, 57622, 60100, 50901, 53190, 50795, 57832, 62533, 50732, 50274, 50854, 55537, 50810, 79699, 50854, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 8, 19834, 12, 5827, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 18558, 6, 8, 5730, 2342, 4467, 6, 2351, 41, 9066, 8, 5679, 26709, 5466, 4, 8504, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 19, 10, 33215, 13931, 9, 274, 10431, 406, 6, 163, 119, 6, 381, 406, 6, 83, 6, 8, 83, 406, 4, 20, 15229, 18, 13428, 14269, 7, 10, 455, 12, 16096, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50796, 55746, 52316, 51204, 50427, 52316, 51013, 52316, 74610, 51638, 73125, 51638, 50915, 51638, 55441, 51794, 50995, 51794, 51204, 50451, 51794, 51003, 70526, 51047, 79757, 52540, 51655, 50415, 51887, 51243, 52316, 51243, 51794, 51445, 51154, 52903, 51957, 74905, 51164, 75498, 51396, 51591, 50432, 51017, 69052, 51488, 51145, 51488, 51127, 51488, 50918, 50992, 51675, 50439, 51794, 56329, 50445, 50872, 51627, 50450, 51017, 51961, 50456, 51396, 51178, 50799, 52316, 51878, 51201, 51145, 51201, 51077, 51887, 53486, 51299, 51353, 51332, 51359, 50415, 51338, 74905, 51396, 72270, 51017, 51310, 50431, 72478, 50437, 51375, 51047, 51629, 64345, 51629, 51047, 50992, 74449, 52316, 51878, 50444, 50872, 51562, 50449, 51017, 51419, 50455, 51396, 51642, 50461, 51394, 51183, 52481, 53142, 53148, 51671, 51638, 51243, 66140, 51314, 51394, 51183, 51794, 51313, 51638, 51243, 53148, 51449, 51491, 51445, 51426, 51801, 52021, 51359, 51533, 71785, 51506, 75850, 51037, 69133, 51017, 55306, 51375, 51244, 51629, 51148, 51037, 51212, 50439, 51629, 51145, 50944, 51894, 51506, 51233, 50444, 51017, 51218, 50451, 51037, 51312, 50457, 51506, 52179, 50461, 51794, 51314, 51426, 51671, 50799, 51794, 51447, 51488, 51703, 51794, 52980, 51395, 54171, 52316, 52727, 52316, 51445, 51395, 53678, 55518, 51714, 54457, 51605, 54785, 51244, 50415, 51488, 61653, 51426, 51748, 50420, 51396, 51878, 50426, 51017, 75506, 50979, 51123, 50437, 51299, 53801, 50438, 51299, 52263, 51093, 52212, 57896, 50439, 50944, 51060, 50440, 51299, 52407, 50445, 50872, 51091, 50451, 50979, 51192, 50457, 51017, 51158, 57157, 71718, 51794, 51445, 51154, 51445, 55663, 56674, 66526, 52540, 51991, 50424, 55663, 55341, 51164, 51677, 50432, 55663, 50948, 51396, 51218, 50439, 55663, 51158, 50992, 52015, 50444, 50872, 51591, 50448, 55663, 56827, 51017, 51542, 50456, 55663, 51030, 51396, 51309, 51601, 51299, 51313, 55663, 51091, 51332, 52062, 51338, 51307, 50421, 51396, 51255, 50427, 51017, 79309, 51396, 51397, 50433, 55663, 57581, 50992, 51790, 50439, 55663, 51286, 50445, 50872, 51627, 50448, 61143, 65399, 51017, 51679, 50456, 50726, 50305, 51624, 50300, 54836, 51601, 51638, 51748, 51491, 57771, 51426, 61489, 59018, 51364, 51751, 53142, 50416, 51533, 52071, 50421, 51506, 51591, 50427, 51037, 51692, 50432, 54942, 51060, 50979, 51162, 50439, 63331, 51077, 50939, 51204, 50445, 50944, 80051, 76895, 50799, 53148, 51145, 50939, 51377, 51640, 51336, 50415, 51506, 72442, 50979, 59492, 50944, 79935, 50939, 54993, 51887, 51703, 51154, 51148, 51164, 51077, 50992, 51183, 50872, 51183, 51132, 51077, 50799, 51638, 52335, 53148, 51313, 63331, 51060, 50979, 51680, 50944, 51535, 50415, 51426, 53201, 51533, 51655, 50421, 51751, 52151, 50423, 63331, 50806, 50427, 51506, 50981, 50431, 63331, 74439, 51037, 51562, 50438, 63331, 51173, 50439, 50939, 51244, 50445, 50944, 51310, 50447, 63331, 50911, 50455, 63331, 50924, 50979, 51233, 50799, 52316, 51748, 63331, 51834, 50300, 51353, 51602, 51359, 50416, 51299, 59519, 57783, 51111, 50422, 63331, 57327, 50979, 57421, 63331, 51138, 50433, 50885, 51333, 50439, 63331, 50976, 50992, 53142, 50446, 50979, 52519, 50447, 55663, 51354, 50455, 61143, 60345, 50885, 50974, 70526, 51748, 54942, 51141, 52540, 51445, 51957, 51307, 50415, 51794, 56599, 50420, 51164, 52151, 50426, 51396, 51241, 50431, 51017, 71003, 53664, 55122, 50872, 51183, 50439, 59018, 51336, 50443, 51017, 73697, 51396, 68366, 52695, 65847, 51996, 64368, 67163, 51491, 51447, 50799, 51794, 51447, 51638, 51447, 51017, 51310, 51640, 51336, 50415, 53780, 51189, 51037, 51413, 51506, 78787, 53916, 73835, 51426, 51145, 51375, 51314, 51299, 51148, 51396, 51148, 51602, 51103, 50439, 51836, 51318, 74659, 50445, 50872, 51191, 50451, 50979, 51346, 50456, 52032, 51177, 51017, 51173, 50799, 51794, 51922, 51154, 52829, 55663, 70927, 52541, 52644, 50872, 51336, 51957, 52208, 50421, 52540, 51592, 50423, 55663, 64002, 51164, 51675, 50431, 55663, 51736, 51396, 51562, 50439, 55663, 51158, 50992, 51592, 50445, 50872, 51675, 50448, 55663, 55260, 51017, 68862, 55663, 51021, 51396, 51221, 50799, 55663, 50936, 50415, 51299, 51293, 51332, 51307, 51338, 71785, 51396, 51412, 50422, 55663, 54851, 51017, 62118, 51396, 51677, 50438, 50992, 51945, 50439, 55663, 72992, 61143, 50976, 50872, 51627, 50455, 50726, 50305, 71840, 50943, 50799, 51638, 51151, 51491, 55392, 51426, 59828, 59018, 51274, 50415, 51751, 51353, 51533, 51036, 50421, 51506, 51552, 50426, 51037, 51518, 50432, 54942, 61613, 78583, 63331, 51552, 50939, 51362, 50444, 50944, 53562, 50979, 59827, 55663, 69495, 50944, 51862, 50799, 53780, 51314, 53148, 51244, 51640, 67481, 61143, 50807, 51506, 51742, 50939, 51333, 50421, 50979, 51318, 50427, 50944, 52605, 50939, 51177, 50437, 51887, 51080, 51154, 60934, 51996, 51447, 50992, 50918, 51132, 51446, 50439, 50872, 51080, 50451, 51164, 50943, 50799, 51638, 53588, 53148, 51243, 51426, 52829, 63331, 73181, 52695, 51922, 51751, 51293, 51533, 51655, 50421, 51506, 51422, 50423, 63331, 50806, 50427, 51037, 51680, 50431, 63331, 59273, 50979, 53912, 50939, 51148, 50439, 63331, 51012, 50448, 63331, 51021, 50944, 56374, 50456, 63331, 50940, 50979, 51328, 50799, 63331, 50940, 51602, 71718, 52338, 51671, 56177, 63309, 51299, 51449, 52316, 51671, 51396, 51518, 50420, 63331, 51030, 50885, 66010, 50979, 50889, 50431, 63331, 60022, 50885, 56389, 63331, 51483, 50439, 50992, 52335, 50444, 50979, 51477, 50447, 55663, 50975, 50451, 50885, 52011, 50455, 61143, 56210, 51396, 51233, 50799, 54541, 52916, 51154, 52720, 51794, 52204, 54942, 51343, 52540, 51945, 50415, 51957, 53454, 50420, 51164, 51991, 50426, 51396, 51295, 50432, 53664, 71840, 73835, 50872, 51145, 50439, 59018, 51685, 50444, 51017, 54058, 52695, 68876, 51191, 50456, 51996, 63593, 51111, 50799, 53780, 51878, 51426, 50803, 52540, 51359, 50417, 51794, 60861, 52065, 54658, 51164, 53241, 50421, 51638, 52801, 52316, 58099, 53148, 52422, 51396, 51161, 50427, 52316, 58459, 51638, 52726, 52065, 50880, 51042, 51095, 50434, 51794, 51010, 50436, 51426, 57784, 55663, 60363, 51154, 50811, 52065, 51127, 51017, 51124, 50439, 51857, 51077, 50440, 51491, 67760, 51375, 57276, 51165, 50817, 51042, 51218, 50446, 51491, 50811, 63331, 50976, 50448, 51375, 52116, 51165, 55552, 51357, 59154, 59018, 51286, 50455, 51488, 55577, 51395, 66515, 50889, 50458, 51201, 56628, 51600, 50803, 50799, 51638, 51353, 51491, 51671, 53089, 56769, 54942, 51226, 51506, 78996, 50989, 51307, 53148, 52062, 51638, 51243, 51491, 51671, 51794, 56515, 51640, 51307, 50417, 51394, 60055, 50906, 51363, 51037, 69745, 51028, 51054, 73132, 50430, 54942, 78881, 50906, 69400, 51037, 50914, 50433, 54942, 65452, 54942, 64104, 50931, 51009, 50439, 50944, 51941, 50444, 51028, 51177, 54942, 71840, 65029, 50906, 50943, 51037, 51003, 50455, 54942, 62620, 51028, 51111, 51017, 50915, 54594, 51356, 51794, 54557, 54942, 51021, 50988, 51446, 50415, 51301, 51627, 51699, 52407, 51638, 51490, 51137, 51009, 50419, 50906, 58823, 54942, 71450, 51448, 50425, 51028, 54107, 51690, 50824, 51017, 51381, 50431, 50931, 54684, 53664, 56781, 51255, 50438, 50968, 51009, 51733, 50824, 51299, 51749, 51088, 51244, 51301, 51148, 55667, 51952, 50292, 51077, 51526, 51336, 50444, 51217, 51091, 50445, 53664 ]

[ 0, 250, 15352, 30054, 5175, 2125, 19, 15855, 16882, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 13305, 3315, 5, 169, 6, 2351, 10, 2933, 8, 19448, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 2214, 16, 11, 5, 762, 9, 83, 3694, 8, 1575, 10, 33215, 16739, 9, 1918, 6, 1918, 406, 428, 245, 6, 163, 43531, 6, 1918, 6, 8, 274, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50968, 50978, 57340, 51318, 50999, 51412, 50429, 51062, 53193, 51220, 54137, 50877, 51318, 50999, 57991, 51430, 54509, 50877, 51318, 51146, 51318, 55746, 50877, 51318, 51220, 51318, 67964, 51318, 50999, 51412, 50453, 51062, 53820, 51220, 50905, 57923, 51253, 51147, 50995, 56248, 51962, 50326, 54342, 73750, 50968, 51318, 75795, 58262, 50968, 51253, 55524, 63988, 50978, 57340, 51318, 50999, 51412, 50429, 51062, 53193, 51220, 54137, 50877, 51318, 50999, 57991, 51430, 55670, 50861, 51218, 50876, 51218, 51001, 51218, 50951, 51218, 51062, 51218, 51487, 50943, 52591, 51787, 50873, 53645, 51218, 50906, 51218, 51028, 51218, 50931, 51218, 51081, 51218, 51339, 56389, 51399, 55322, 50871, 51218, 50877, 51218, 50902, 51218, 50931, 51218, 50999, 51218, 51339, 51221, 50453, 51430, 53920, 51405, 50873, 57126, 51218, 50877, 51218, 50973, 51218, 51001, 68106, 51062, 57356, 50877, 51734, 50325, 51675, 75795, 51798, 50968, 50995, 55524, 65348, 51006, 57340, 51709, 51430, 51709, 59409, 53130, 50328, 68112, 50968, 51709, 51430, 51709, 59758, 53130, 50328, 70347, 50877, 51709, 51339, 51709, 52591, 50876, 53130, 50332, 60316, 50931, 51709, 51405, 51709, 59419, 53130, 50327, 51174, 67964, 51709, 51062, 51645, 50453, 51430, 54622, 50876, 53130, 50331, 50972, 54578, 51709, 51001, 51709, 56546, 53130, 50320, 51174, 63174, 51709, 51430, 52168, 75795, 64533, 50968, 51709, 55524, 53130, 50328, 51174, 57340, 51709, 51430, 51709, 59409, 53130, 50328, 68112, 50968, 51709, 51430, 51709, 50450, 50876, 53130, 50328, 70347, 50861, 51637, 50876, 51637, 51001, 51637, 50951, 51637, 51062, 51637, 51487, 51709, 52591, 51787, 51174, 53645, 51637, 50906, 51637, 51028, 51637, 50931, 51637, 51081, 51637, 51339, 51709, 50438, 51399, 51174, 65827, 51637, 50877, 51637, 50876, 51637, 50968, 51637, 50999, 51637, 51339, 51645, 50453, 51430, 54622, 51405, 50972, 57126, 51637, 50877, 51637, 50973, 51637, 51001, 51709, 50426, 51062, 51174, 63174, 51709, 50999, 53849, 75795, 58262, 50968, 51253, 55524, 51006, 57340, 51709, 59409, 50978, 59419, 51253, 50968, 51253, 59758, 59781, 50877, 62245, 69215, 50866, 54852, 66731, 77281, 53070, 50877, 66731, 77281, 52670, 50877, 66731, 77281, 52767, 50877, 66731, 77281, 52896, 50877, 66731, 77281, 53027, 50965, 76509, 70933, 52763, 50877, 63257, 68081, 57092, 50906, 74685, 67883, 50915, 52591, 50877, 66731, 77281, 52670, 50965, 76509, 70933, 52767, 50877, 66731, 77281, 53027, 50916, 61324, 66731, 53007, 50871, 58421, 61739, 50915, 52591, 50871, 61324, 74943, 52670, 50916, 73477, 68270, 52767, 50871, 51709, 50877, 51709, 50902, 51709, 69375, 51637, 50899, 64636, 63190, 50900, 79339, 51174, 52591, 50900, 62710, 61324, 52670, 50916, 61324, 66731, 52767, 50965, 51047, 50973, 51047, 51001, 51047, 50456, 50877, 62245, 69215, 50866, 54852, 66731, 77281, 53070, 50877, 66731, 77281, 52670, 50877, 66731, 77281, 52767, 50877, 66731, 77281, 52896, 50877, 66731, 77281, 53027, 50965, 76509, 70933, 52763, 50877, 63257, 68081, 57092, 50876, 69928, 64951, 50915, 52591, 50973, 68270, 66876, 52670, 50877, 66731, 77281, 52767, 50973, 68270, 66876, 53027, 51040, 62252, 68520, 53007, 50906, 51709, 51028, 51109, 50931, 51109, 52591, 50877, 66731, 77281, 52670, 50965, 76509, 70933, 52767, 50877, 66731, 77281, 53027, 50900, 62710, 61324, 53007, 50916, 51314, 50877, 51314, 50876, 51314, 50796, 58296, 51314, 50916, 51314, 50965, 51314, 50456, 50902, 65140, 66986, 50866, 55331, 66876, 68822, 53070, 50902, 66876, 68822, 52670, 50902, 66876, 68822, 52767, 50902, 66876, 68822, 52896, 50902, 66876, 68822, 53027, 51028, 77281, 50837, 51147, 52763, 50902, 66257, 73276, 57092, 51001, 51619, 50322, 51619, 50326, 50915, 52591, 50902, 66876, 68822, 52670, 51028, 77281, 50837, 51147, 52767, 50902, 66876, 68822, 53027, 50877, 74943, 66876, 53007, 50906, 61739, 64951, 50915, 52591, 50906, 74943, 69148, 52670, 50877, 68270, 75967, 52767, 50906, 51709, 50902, 51709, 50951, 51709, 55989, 51637, 50861, 64897, 63190, 50871, 53130, 50313, 51174, 52591, 50871, 61324, 74943, 52670, 50877, 74943, 66876, 52767, 51028, 51047, 50968, 51047, 51147, 51047, 50456, 50902, 66876, 66986, 50866, 55331, 66876, 68822, 53070, 50902, 66876, 68822, 52670, 50902, 66876, 68822, 52767, 50902, 66876, 68822, 52896, 50902, 66876, 68822, 53027, 51028, 77281, 50837, 51147, 52763, 50902, 66257, 73276, 57092, 50931, 52026, 50324, 80082, 50915, 52591, 51001, 75967, 50837, 51081, 52670, 50902, 66876, 68822, 52767, 51001, 75967, 50837, 51081, 53027, 50989, 68520, 70933, 53007, 51001, 51109, 51114, 51109, 51081, 51109, 52591, 50902, 66876, 68822, 52670, 51028, 77281, 50837, 51147, 52767, 50902, 66876, 68822, 53027, 50871, 61324, 74943, 53007, 50906, 51314, 51028, 51314, 50931, 51314, 66243, 51040, 68186, 65186, 63236, 50877, 55854, 50861, 53567, 59362, 50453, 50916, 54622, 50899, 56573, 58529, 54852, 56115, 50902, 53004, 50931, 56174, 50999, 53881, 51146, 56739, 51339, 53193, 51814, 54378, 51339, 52691, 51146, 57366, 50999, 54653, 50931, 57904, 50999, 52989, 50931, 55371, 50902, 54622, 51081, 56573, 51114, 50851, 57923, 59010, 51114, 54711, 50999, 55054, 51114, 53220, 51001, 56552, 51114, 54150, 50999, 55270, 50931, 53269, 50902, 58862, 50877, 54478, 50871, 55854, 50877, 53567, 50902, 60201, 50931, 54622, 50951, 56573, 60989, 55694, 59010, 59663, 54569, 55054, 50861, 53220, 50906, 56552, 51028, 54150, 50902, 55270, 50951, 53269, 50902, 58862, 50906, 54478, 50861, 55854, 50902, 53567, 50906, 60201, 50861, 54622, 50899, 56573, 59362, 54852, 59010, 50902, 54711, 50931, 55054, 50999, 52580, 51146, 54889, 51339, 54221, 52128, 51148, 69375, 51253, 50456, 51120, 51253, 50899, 54846, 74166, 54852, 58172, 50902, 53728, 50931, 54252, 50999, 52921, 51146, 56739, 51339, 53193, 51814, 54378, 51339, 52691, 51146, 57366, 50999, 53743, 50931, 55118, 50999, 53140, 50931, 56936, 50902, 53820, 51062, 54846, 51147, 50822, 56229, 58172, 51147, 53728, 51081, 54252, 51114, 52921, 51001, 56739, 51114, 53193, 51081, 54378, 51114, 52691, 51001, 57366, 50906, 53743, 50989, 55118, 50906, 53140, 51001, 56936, 51114, 53820, 51081, 54846, 79407, 57923, 58172, 51114, 53728, 50999, 54252, 51114, 52921, 51001, 56739, 51114, 53193, 50999, 54378, 50931, 52691, 50902, 57366, 50877, 53743, 50871, 55118, 50877, 53140, 51028, 56936, 50902, 53820, 50899, 51148, 78872, 50931, 51148, 50796, 58783, 51148, 50902, 51148, 50999, 51148, 50456, 80242, 50931, 51148, 51399, 51148, 50796, 63174, 75511, 51911, 50329, 51911, 50337, 59791, 50877, 55118, 50861, 53140, 50871, 56936, 50916, 53820, 50899, 54846, 66457, 54852, 59991, 50902, 53066, 50931, 54347, 50999, 53906, 51146, 57544, 51339, 53911, 51814, 55098, 51339, 54181, 51146, 62079, 50999, 54746, 50931, 54803, 50999, 52843, 50931, 58305, 50902, 54194, 51081, 54846, 79407, 57923, 58172, 51114, 53728, 50999, 54252, 51114, 52921, 51001, 56739, 51114, 53193, 50999, 54378, 50931, 52691, 50902, 57366, 50877, 53743, 50871, 55118, 50877, 53140, 50902, 56936, 50931, 53820, 50951, 54846, 59139, 55694, 58172, 50861, 53728, 50899, 54252, 50861, 52921, 50906, 56739, 51028, 53193, 50902, 54378, 50951, 52691, 50902, 57366, 50906, 53743, 50861, 55118, 50902, 53140, 50906, 56936, 50861, 53820, 50899, 54846, 74166, 54852, 58172, 50902 ]

[ 0, 250, 765, 19834, 2125, 19, 10, 3495, 2712, 6, 4246, 10, 13305, 8, 38668, 2236, 4, 20, 6711, 25935, 1626, 227, 10, 25306, 619, 6, 3423, 9, 11098, 6, 8, 10, 2842, 9, 15073, 4, 8504, 11, 274, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 15229, 11498, 10, 7212, 20889, 4, 20, 33215, 16739, 9, 274, 6, 230, 406, 73, 717, 6, 274, 6, 8, 163, 428, 3639, 7, 63, 13363, 28191, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50631, 51540, 51633, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 52200, 60250, 66985, 75440, 51148, 50462, 51633, 63211, 60473, 50981, 50474, 52200, 77502, 60250, 66985, 50981, 51540, 51993, 51148, 50902, 75575, 51145, 50997, 53753, 50438, 54761, 52019, 50326, 59124, 54761, 51148, 50902, 51080, 51081, 51145, 51540, 51721, 51677, 50997, 51244, 50899, 51183, 50906, 51677, 57019, 57991, 51643, 60250, 51911, 50301, 68026, 51145, 50462, 51721, 66412, 50995, 50474, 51643, 60367, 60250, 50995, 51540, 51633, 63211, 70062, 51807, 50302, 51422, 50871, 73660, 52200, 63348, 66985, 56692, 51633, 63211, 60473, 57105, 51643, 51148, 51050, 51145, 77920, 50877, 66743, 51145, 51540, 51633, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 52200, 60250, 66985, 75440, 51148, 50462, 51633, 66412, 60473, 50981, 50474, 52200, 77502, 60250, 66985, 50981, 51540, 51993, 51148, 50902, 51244, 50931, 51183, 50997, 53753, 50438, 54761, 52019, 50326, 57991, 54761, 51148, 50902, 51080, 51081, 51145, 51540, 51633, 51677, 50997, 62163, 51939, 50902, 51692, 53337, 56656, 50871, 57991, 51643, 71326, 61817, 58327, 50981, 50462, 51721, 70276, 63211, 51097, 50474, 51643, 71326, 61817, 58327, 50981, 51540, 51721, 51677, 50997, 51939, 50899, 51692, 50906, 51677, 50474, 51993, 79442, 50995, 51540, 51993, 51145, 51027, 51047, 71578, 50931, 64488, 52200, 66953, 60138, 75514, 57991, 51643, 71326, 60138, 63348, 50995, 50462, 51633, 63085, 60138, 70062, 51097, 50474, 52200, 77410, 50995, 51540, 51993, 51145, 74169, 71578, 50931, 64488, 51633, 77502, 60138, 70062, 57991, 51721, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51993, 79442, 50995, 51540, 51993, 51145, 51027, 51047, 71578, 50931, 64488, 52200, 66953, 60138, 75514, 57991, 51643, 60250, 71326, 51145, 77920, 50462, 51633, 70062, 51097, 50474, 52200, 66953, 60138, 75514, 50995, 51540, 51993, 51145, 74169, 71578, 50931, 64488, 51633, 77502, 60138, 70062, 57991, 51721, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51993, 79442, 50995, 51540, 52372, 51145, 50956, 71946, 51145, 50997, 53413, 54439, 56656, 52200, 59783, 77410, 57991, 54761, 51148, 50956, 51911, 50326, 51148, 50462, 50861, 50995, 50474, 54761, 59783, 51911, 50326, 50995, 51540, 51993, 51145, 50899, 65910, 51145, 50997, 53413, 53645, 56656, 51633, 60367, 64924, 57991, 54761, 51148, 50899, 51911, 50326, 51148, 50462, 50871, 50995, 50474, 54761, 60367, 51911, 50326, 50995, 51540, 51993, 64924, 60700, 75440, 73660, 52372, 75514, 68294, 56656, 51993, 64924, 60700, 57105, 51993, 60250, 65910, 52019, 50301, 51148, 50462, 52200, 75514, 51097, 50474, 51633, 77502, 63211, 60473, 50995, 51540, 51633, 51662, 50906, 51592, 50902, 51677, 51050, 54143, 50871, 52919, 50450, 51643, 51244, 50877, 51314, 50876, 51148, 51540, 51234, 51145, 50906, 51939, 50902, 51692, 50415, 51485, 51677, 62335, 57991, 51641, 60250, 66985, 75440, 51148, 50462, 51485, 63211, 60473, 50981, 50474, 51641, 77502, 60250, 66985, 50981, 51540, 51509, 51148, 50902, 75575, 51145, 50997, 53753, 50438, 52336, 52019, 50326, 59124, 52336, 51148, 50902, 51080, 51081, 51145, 51540, 51723, 51677, 50997, 51244, 50899, 51183, 50906, 51677, 57019, 57991, 51431, 60250, 51911, 50301, 68026, 51145, 50462, 51723, 66412, 50995, 50474, 51431, 60367, 60250, 50995, 51540, 51485, 63211, 70062, 51807, 50302, 51422, 50871, 73660, 51641, 63348, 66985, 56692, 51485, 63211, 60473, 57105, 51431, 51148, 51050, 51145, 77920, 50877, 66743, 51145, 51540, 51485, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 51641, 60250, 66985, 75440, 51148, 50462, 51485, 66412, 60473, 50981, 50474, 51641, 77502, 60250, 66985, 50981, 51540, 51509, 51148, 50902, 51244, 50931, 51183, 50997, 53753, 50438, 52336, 52019, 50326, 57991, 52336, 51148, 50902, 51080, 51081, 51145, 51540, 51485, 51677, 50997, 62163, 51939, 50902, 51692, 53337, 56656, 50871, 57991, 51431, 71326, 61817, 58327, 50981, 50462, 51723, 70276, 63211, 51097, 50474, 51431, 71326, 61817, 58327, 50981, 51540, 51723, 51677, 50997, 51939, 50899, 51692, 50906, 51677, 50474, 51509, 79442, 50995, 51540, 51509, 51145, 51027, 51047, 71578, 50931, 64488, 51641, 66953, 60138, 75514, 57991, 51431, 71326, 60138, 63348, 50995, 50462, 51485, 63085, 60138, 70062, 51097, 50474, 51641, 77410, 50995, 51540, 51509, 51145, 74169, 71578, 50931, 64488, 51485, 77502, 60138, 70062, 57991, 51723, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51509, 79442, 50995, 51540, 51509, 51145, 51027, 51047, 71578, 50931, 64488, 51641, 66953, 60138, 75514, 57991, 51431, 60250, 71326, 51145, 77920, 50462, 51485, 70062, 51097, 50474, 51641, 66953, 60138, 75514, 50995, 51540, 51509, 51145, 74169, 71578, 50931, 64488, 51485, 77502, 60138, 70062, 57991, 51723, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 51509, 79442, 50995, 51540, 51579, 51145, 50956, 71946, 51145, 50997, 53413, 54439, 56656, 51641, 59783, 77410, 57991, 52336, 51148, 50956, 51911, 50326, 51148, 50462, 50861, 50995, 50474, 52336, 59783, 51911, 50326, 50995, 51540, 51509, 51145, 50899, 65910, 51145, 50997, 53413, 53645, 56656, 51485, 60367, 64924, 57991, 52336, 51148, 50899, 51911, 50326, 51148, 50462, 50871, 50995, 50474, 52336, 60367, 51911, 50326, 50995, 51540, 51509, 64924, 60700, 75440, 73660, 51579, 75514, 68294, 56656, 51509, 64924, 60700, 57105, 51509, 60250, 65910, 52019, 50301, 51148, 50462, 51641, 75514, 51097, 50474, 51485, 77502, 63211, 60473, 50995, 51540, 51485, 51662, 50906, 51592, 50902, 51677, 51050, 54143, 50871, 52919, 50450, 51431, 51244, 50877, 51314, 50876, 51148, 51540, 51234, 51145, 50906, 51939, 50902, 51692, 50415, 51967, 51677, 62335, 57991, 52994, 60250, 66985, 75440, 51148, 50462, 51967, 63211, 60473, 50981, 50474, 52994, 77502, 60250, 66985, 50981, 51540, 52249, 51148, 50902, 75575, 51145, 50997, 53753, 50438, 54113, 52019, 50326, 59124, 54113, 51148, 50902, 51080, 51081, 51145, 51540, 52813, 51677, 50997, 51244, 50899, 51183, 50906, 51677, 57019, 57991, 52064, 60250, 51911, 50301, 68026, 51145, 50462, 52813, 66412, 50995, 50474, 52064, 60367, 60250, 50995, 51540, 51967, 63211, 70062, 51807, 50302, 51422, 50871, 73660, 52994, 63348, 66985, 56692, 51967, 63211, 60473, 57105, 52064, 51148, 51050, 51145, 77920, 50877, 66743, 51145, 51540, 51967, 51677, 51234, 51145, 50906, 51939, 50902, 51692, 62335, 57991, 52994, 60250, 66985, 75440, 51148, 50462, 51967, 66412, 60473, 50981, 50474, 52994, 77502, 60250, 66985, 50981, 51540, 52249, 51148, 50902, 51244, 50931, 51183, 50997, 53753, 50438, 54113, 52019, 50326, 57991, 54113, 51148, 50902, 51080, 51081, 51145, 51540, 51967, 51677, 50997, 62163, 51939, 50902, 51692, 53337, 56656, 50871, 57991, 52064, 71326, 61817, 58327, 50981, 50462, 52813, 70276, 63211, 51097, 50474, 52064, 71326, 61817, 58327, 50981, 51540, 52813, 51677, 50997, 51939, 50899, 51692, 50906, 51677, 50474, 52249, 79442, 50995, 51540, 52249, 51145, 51027, 51047, 71578, 50931, 64488, 52994, 66953, 60138, 75514, 57991, 52064, 71326, 60138, 63348, 50995, 50462, 51967, 63085, 60138, 70062, 51097, 50474, 52994, 77410, 50995, 51540, 52249, 51145, 74169, 71578, 50931, 64488, 51967, 77502, 60138, 70062, 57991, 52813, 51148, 80242, 50899, 51677, 50871, 51939, 50474, 52249 ]

[ 0, 4688, 14899, 5175, 2214, 4246, 10, 20902, 11739, 9, 17465, 102, 6, 10170, 1499, 6, 13305, 6, 38668, 483, 6, 8, 21979, 8669, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 33558, 5466, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 41, 12447, 1001, 20889, 1328, 6, 19, 5, 40286, 12608, 8, 2060, 19983, 5705, 6, 1271, 7, 63, 33200, 8, 20425, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 53028, 75011, 50841, 51570, 53057, 51956, 50799, 53094, 52122, 52211, 51732, 53112, 52121, 50801, 70315, 67444, 53855, 50801, 70315, 50846, 51361, 53219, 51531, 52821, 52117, 52821, 51479, 56289, 63247, 52396, 70357, 51928, 50884, 77001, 50799, 52183, 51313, 53015, 51293, 70357, 51928, 63916, 52992, 51068, 54405, 70487, 51361, 52565, 52939, 51145, 54133, 51145, 51479, 56289, 67902, 53533, 51479, 54094, 50884, 51453, 53902, 54885, 61243, 55145, 50878, 50799, 73987, 53242, 50839, 53242, 50846, 53375, 50837, 52264, 50803, 54097, 50836, 53512, 53790, 51928, 52990, 50949, 50965, 59125, 50876, 59125, 50416, 52183, 50834, 53242, 63180, 52183, 50959, 53242, 65739, 53242, 51177, 53375, 51100, 52264, 50803, 54097, 50897, 53512, 50925, 51396, 55109, 58687, 50873, 52112, 50421, 50909, 50905, 50425, 56787, 51620, 52183, 50820, 53242, 50839, 52264, 50803, 53512, 50854, 54097, 53530, 51463, 54912, 51179, 54660, 52183, 50839, 53242, 59185, 52183, 59517, 53242, 50925, 53242, 50937, 53375, 50917, 52264, 50803, 54097, 50942, 53512, 50942, 51396, 56566, 59243, 50892, 52093, 50433, 50909, 54233, 55145, 50833, 52183, 50834, 53242, 50820, 53242, 50839, 53375, 50820, 52264, 50803, 54097, 50836, 53512, 53933, 50898, 56289, 57681, 52183, 50834, 53242, 52878, 56787, 50849, 53242, 50833, 52183, 50925, 53242, 50937, 53375, 50937, 52264, 50803, 53512, 50833, 54097, 50854, 51396, 56729, 54265, 58500, 50992, 56990, 54058, 54017, 50977, 52183, 50839, 53242, 50839, 53242, 50878, 53375, 51177, 52264, 50823, 53512, 51121, 54097, 50942, 70357, 51463, 54912, 56883, 52183, 50820, 53242, 52738, 53942, 50937, 52183, 50942, 53242, 50942, 52939, 50866, 53105, 50845, 52314, 50803, 54133, 51008, 54205, 50959, 51396, 57245, 54042, 77997, 73668, 51819, 50457, 50992, 58649, 75166, 53242, 50839, 51691, 50855, 50799, 56542, 50812, 51691, 50820, 53242, 50839, 79430, 52696, 50855, 54097, 50836, 59640, 51928, 50895, 50871, 53265, 50965, 53265, 50416, 72449, 53242, 63094, 51691, 50942, 53242, 68655, 72449, 53242, 50862, 79430, 52696, 50836, 54097, 50855, 52105, 50421, 51396, 64368, 56743, 62330, 53172, 56787, 50800, 64327, 53242, 50839, 53242, 51178, 51691, 51255, 79430, 54097, 51177, 52696, 50925, 51068, 54405, 50898, 54212, 70690, 64327, 53242, 59483, 51691, 50937, 53242, 58672, 52393, 50854, 52061, 50823, 53190, 50813, 52696, 50813, 51396, 54265, 72969, 53108, 50309, 51819, 50433, 51017, 55808, 62330, 54233, 56542, 50836, 51691, 50846, 53242, 50855, 53094, 51124, 52393, 51294, 52211, 51066, 53112, 51221, 53190, 51162, 51479, 56289, 50818, 51176, 53490, 50305, 74058, 56542, 76414, 50834, 53242, 50834, 51396, 69751, 50873, 52112, 50445, 50872, 69614, 62617, 56542, 50813, 64327, 53242, 58560, 53094, 57824, 53994, 50977, 75366, 53242, 50820, 52061, 50860, 53190, 50878, 52696, 50925, 56331, 51135, 54094, 50884, 51040, 53108, 50309, 51819, 50453, 51691, 50820, 53242, 52579, 57538, 50987, 51691, 50834, 53242, 50834, 51691, 50878, 53242, 50977, 51509, 50821, 54097, 50977, 52696, 50955, 51396, 63593, 56743, 54042, 74494, 76472, 51819, 50457, 51125, 73119, 51691, 50820, 53242, 50820, 50799, 55145, 50808, 52183, 50834, 52183, 50857, 52939, 50862, 53015, 50813, 54133, 53790, 51928, 52990, 50949, 50956, 53265, 50989, 53265, 50415, 53242, 50837, 51641, 75542, 52183, 50829, 53242, 63180, 52183, 50878, 53242, 60872, 52183, 50809, 52939, 50887, 51641, 50803, 53015, 50862, 54133, 65262, 50845, 52112, 50421, 50992, 56990, 51523, 50300, 53770, 56787, 50812, 52183, 50834, 53242, 50820, 52939, 50977, 52183, 51221, 51641, 50803, 53015, 50942, 54133, 50987, 56331, 54912, 51179, 61869, 52183, 50820, 53242, 52417, 51531, 50897, 52183, 50878, 53242, 50897, 51431, 50823, 52117, 50855, 53015, 50810, 51396, 57847, 50892, 52093, 50900, 53108, 50307, 51819, 50433, 50992, 58649, 55306, 55145, 50833, 52183, 50834, 53242, 50820, 53094, 51124, 51531, 51112, 52211, 51066, 52117, 51124, 53112, 51110, 51479, 56289, 50884, 51176, 53490, 50304, 52254, 50441, 52183, 50829, 53242, 53041, 56787, 50938, 52183, 50955, 53242, 50942, 51396, 54265, 58500, 50885, 60057, 58846, 54230, 54017, 50901, 64718, 78069, 51531, 50937, 53094, 50849, 51641, 50860, 54133, 50977, 53015, 51058, 70357, 51463, 54912, 50884, 50956, 53108, 50310, 51819, 50453, 52183, 50820, 53242, 52881, 53942, 50937, 52183, 50810, 53242, 50925, 52939, 50977, 53105, 51100, 52314, 50823, 54133, 50959, 54205, 50942, 51396, 53021, 77997, 73668, 51819, 50457, 50885, 58687, 58451, 50901, 50799, 56542, 50808, 51691, 50820, 72449, 78069, 53242, 50862, 51509, 51045, 52696, 50840, 54097, 53507, 58484, 51928, 50895, 50871, 53265, 50965, 53265, 50416, 75366, 53242, 63180, 51691, 50925, 53242, 58793, 51691, 50855, 53242, 50836, 79430, 54097, 50812, 52696, 50833, 51396, 50892, 52105, 50421, 51017, 55664, 78159, 61544, 53994, 54156, 56380, 50917, 72449, 53242, 50839, 53242, 51100, 51691, 50967, 51509, 50823, 54097, 50977, 52696, 50942, 51068, 54405, 50898, 54212, 70690, 75366, 53242, 60426, 64327, 53242, 50839, 52393, 53911, 53994, 50917, 52061, 50803, 53190, 50833, 52696, 50833, 51396, 69751, 54265, 72969, 53108, 50309, 51819, 50433, 50872, 62258, 70139, 75366, 53242, 56305, 51691, 50890, 53242, 53574, 56542, 50800, 53094, 50943, 52393, 50889, 52211, 51059, 53190, 51141, 53112, 51218, 51479, 56289, 50818, 51176, 52722, 51040, 52722, 50444, 53094, 50890, 51396, 67493, 50901, 52112, 50445, 50872, 69614, 60469, 51988, 53484, 56787, 51175, 51531, 52218, 51463, 51135, 54094, 56883, 52393, 52485, 52183, 50887, 51396, 54042, 57430, 51017, 55664, 62258, 59097, 51691, 64961, 54885, 50862, 50799, 55145, 50987, 64718, 78069, 53242, 50818, 53375, 50839, 52264, 50823, 54097, 50840, 53512, 53243, 51928, 52990, 50949, 50965, 59125, 50876, 59125, 50416, 53242, 55926, 52183, 63222, 53242, 61195, 53375, 50942, 52183, 50917, 52264, 50803, 54097, 50897, 53512, 50897, 52112, 50421, 53242, 50866, 51396, 56566, 59344, 58451, 50905, 50425, 53375, 52524, 56787, 50808, 52183, 50834, 53242, 50820, 53242, 50886, 52264, 50803, 54097, 50855, 53512, 53309, 51463, 54912, 51179, 54660, 52183, 50834, 53242, 60426, 53242, 57066, 52183, 50897, 53242, 51006, 53375, 50987, 52264, 50803, 53512, 50925, 54097, 50942, 51396, 57847, 50845, 52093, 50433, 50992, 58451, 53913, 55145, 50812, 52183, 50820, 53242, 50839, 78069, 53375, 50836, 52264, 50803, 54097, 50855, 53512, 53530, 50898, 56289, 57681, 52183, 50834, 53242, 53044, 56787, 50828, 52183, 50897, 53242, 50897, 53242, 50977, 53375, 50977, 52264, 50803, 54097, 50897, 53512, 50897, 51396, 54265, 58500, 50885, 64232, 58649, 75406, 56787, 59433, 54017, 53794, 52183, 50839, 53242, 50839, 53242, 50937, 53375, 51043, 52264, 50803, 54097, 50833, 53512, 50942, 70357, 51463, 54912, 67940, 64718, 53242, 60233, 52183, 50897, 53242, 57313, 53942, 50901, 52939, 51058, 53105, 51212, 52314, 50803, 54133, 50959, 54205, 50959, 51396, 52839, 77997, 73668, 51819, 50457, 50885, 58687, 57093, 74304, 53242, 50820, 51691, 50855, 50799, 56542, 50812, 75366, 53242, 50839, 79430, 52696, 50836, 54097, 50836, 59640, 51928, 50895, 50871, 53265, 50965, 53265, 50417, 51691, 50834, 53242, 63180, 51691, 50936, 53242, 61195, 51691, 50855, 53242, 50862, 79430, 52696, 50855, 54097, 50810, 51396 ]

[ 0, 250, 15352, 30054, 3495, 8, 11057, 24904, 1011, 625, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 21979, 9590, 6, 23338, 33518, 1264, 6, 8, 29589, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 5663, 741, 1685, 4, 20, 1049, 33215, 16739, 1171, 163, 12361, 6, 163, 428, 406, 6, 12608, 6, 274, 119, 406, 6, 8, 163, 428, 406, 6, 2351, 10, 19448, 8, 8728, 5466, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50460, 51256, 51073, 51674, 51124, 50799, 51408, 50977, 52157, 51310, 50801, 65642, 50416, 51934, 50806, 75508, 54112, 52157, 53199, 51022, 50437, 51547, 51542, 51229, 79218, 51705, 67294, 59280, 50439, 51334, 51333, 52031, 51192, 50446, 51893, 55178, 52157, 63184, 62445, 50452, 51934, 51173, 50457, 52031, 57264, 50801, 61349, 54204, 80171, 65642, 50416, 51256, 51189, 50417, 51674, 51191, 51334, 51191, 50419, 51893, 50914, 75508, 59662, 52157, 50904, 51556, 51022, 50437, 51772, 51362, 50438, 51209, 50807, 51560, 67294, 59280, 50439, 51334, 51013, 50440, 51893, 64127, 52004, 52596, 51560, 63184, 73843, 50452, 52031, 68063, 51893, 50859, 74263, 56451, 80171, 65642, 50415, 51674, 50943, 50417, 51334, 51056, 52031, 51255, 50418, 54503, 51400, 51893, 51400, 75508, 59662, 55366, 50904, 51556, 55707, 51547, 51056, 52419, 66492, 59280, 50439, 51229, 51162, 50440, 51334, 51412, 50441, 52031, 51175, 51955, 73843, 51621, 71206, 51256, 51141, 59670, 51310, 50801, 57546, 50415, 51674, 51294, 50416, 51408, 51191, 51934, 51294, 51544, 55270, 52157, 53887, 51022, 73216, 51772, 51417, 51560, 67294, 57546, 50439, 51209, 51562, 50440, 51334, 51295, 50441, 52031, 51295, 52612, 55814, 51560, 51337, 57452, 50451, 50876, 55890, 78382, 53892, 51197, 51333, 50458, 76497, 50813, 52198, 78245, 56451, 50915, 51846, 52996, 51136, 52011, 51206, 65339, 52387, 51162, 54786, 51056, 50416, 52280, 51110, 50900, 51189, 50956, 51419, 50965, 51091, 50418, 51756, 50873, 52527, 63559, 51522, 51003, 51846, 50886, 51136, 60629, 65239, 50432, 51756, 50823, 76744, 52157, 50915, 51846, 52056, 51317, 52845, 50302, 51542, 50804, 55484, 62884, 52840, 50823, 51040, 61581, 51191, 50446, 52527, 55230, 51560, 50915, 51207, 52056, 51317, 51333, 73727, 50454, 51756, 54647, 63077, 51040, 51731, 50302, 62947, 58839, 52840, 56860, 54547, 56451, 51351, 51846, 52996, 51136, 53126, 50292, 51391, 50900, 55812, 50956, 51661, 50965, 51285, 53636, 50415, 55458, 51274, 54786, 51218, 62395, 51965, 50416, 51756, 51141, 50418, 52527, 51573, 50426, 51930, 50915, 51846, 50886, 51136, 60629, 68333, 68189, 61573, 51197, 72328, 51522, 50915, 51846, 52996, 51136, 52011, 50856, 52597, 50900, 51091, 50446, 55458, 56505, 51493, 50915, 51846, 52996, 50960, 53126, 50308, 71496, 55413, 50453, 52861, 55433, 50965, 50806, 50457, 53037, 60343, 54547, 50461, 51197, 51413, 55970, 50889, 51207, 51074, 51317, 52845, 50305, 51291, 50989, 50384, 54945, 50415, 52280, 51573, 50861, 51274, 50423, 52157, 53803, 51261, 51221, 51207, 51000, 51317, 72900, 65239, 50435, 52157, 55106, 55484, 53269, 51216, 51255, 52028, 52996, 50986, 53126, 50301, 51661, 72660, 51756, 51021, 77025, 51343, 50446, 52840, 51045, 50956, 51204, 50447, 52419, 64913, 50989, 64949, 51216, 51003, 52028, 50886, 50986, 60629, 51373, 51740, 52809, 57634, 50454, 52280, 50921, 50457, 50876, 54943, 51756, 58971, 55921, 50822, 54204, 51255, 51846, 52056, 51317, 52845, 50302, 51241, 58199, 62501, 75712, 50416, 52840, 50950, 51040, 51294, 50423, 52157, 53450, 51261, 51003, 51846, 51000, 51317, 59904, 79492, 50431, 57695, 51941, 52594, 56897, 61573, 59403, 52311, 50438, 51560, 50889, 51207, 52056, 51317, 52845, 50295, 52640, 50305, 60097, 50883, 50956, 56715, 53103, 52861, 51189, 50447, 52157, 55106, 56254, 55814, 51261, 51221, 51207, 51000, 51317, 59904, 51049, 55413, 50451, 52280, 51167, 50455, 51040, 50952, 51197, 52167, 50956, 65022, 50924, 50457, 52840, 51138, 50459, 52157, 55106, 66020, 59670, 50995, 51846, 51074, 51317, 52845, 50302, 50983, 54547, 50415, 51040, 51419, 50871, 51294, 50416, 52861, 55229, 51846, 51000, 51317, 72900, 61354, 50427, 51140, 51253, 50432, 52840, 51010, 68189, 54584, 51705, 50915, 51131, 52996, 51136, 52011, 72660, 51027, 51417, 50956, 51446, 50900, 51397, 50989, 51446, 50877, 51218, 50440, 52527, 65866, 51850, 56604, 52157, 50915, 51846, 51074, 51317, 51333, 57580, 51740, 52955, 52840, 50882, 52198, 55484, 76519, 52527, 50894, 55970, 51112, 51207, 52056, 51317, 51333, 53636, 50417, 51850, 50962, 50421, 51197, 51356, 50422, 52157, 55124, 51140, 51191, 51207, 51000, 51317, 59904, 65239, 50428, 52861, 53275, 50305, 51364, 50433, 50871, 62369, 54547, 50436, 52387, 60364, 51705, 51346, 51207, 51330, 51317, 51330, 50804, 78928, 79807, 50806, 50445, 52280, 69225, 52157, 50874, 50876, 53886, 51098, 51048, 51207, 50904, 51317, 58713, 61354, 50451, 52840, 54712, 51850, 63574, 54547, 56451, 50873, 51846, 52056, 51136, 51333, 55458, 51091, 50900, 51204, 50956, 51294, 50861, 51351, 50906, 51191, 51001, 51134, 54547, 50415, 52387, 69797, 51191, 50417, 51756, 51056, 52527, 51566, 50423, 51522, 55440, 51930, 50981, 51846, 51000, 51136, 59904, 79492, 68189, 52691, 52157, 50915, 51846, 52056, 51317, 51333, 52861, 51215, 53037, 51124, 51040, 57911, 51058, 72660, 52280, 50865, 52840, 52370, 50302, 52415, 50314, 73979, 60844, 50965, 52794, 50445, 52527, 54755, 51560, 50915, 51207, 52996, 51317, 53126, 50295, 51111, 73727, 50451, 55458, 64404, 51121, 50861, 50362, 50842, 50308, 50940, 50452, 52387, 50911, 51756, 50911, 50457, 52840, 57264, 54547, 56451, 51351, 51846, 52996, 51136, 52011, 53636, 50415, 55458, 50807, 62395, 55016, 50312, 70514, 51191, 50956, 50943, 50416, 52387, 52530, 50300, 50943, 50417, 51756, 50981, 50418, 52527, 51312, 50426, 51930, 50915, 51846, 50886, 51136, 60629, 65239, 50435, 58199, 52691, 51705, 50915, 51246, 52996, 51078, 52011, 59403, 50858, 54598, 50897, 72660, 52280, 50858, 51040, 51807, 50298, 51003, 52612, 53567, 51522, 50915, 52028, 52996, 50986, 52011, 55458, 50879, 54598, 50830, 51001, 50977, 50903, 51373, 55413, 50451, 53037, 67970, 50906, 70143, 50989, 56776, 56897, 50822, 65331, 51351, 79208, 51169, 51333, 57695, 58898, 59403, 50983, 53636, 50415, 52861, 52147, 51040, 51115, 51360, 51391, 50416, 51176, 51091, 75712, 50417, 51756, 52263, 50418, 51850, 52296, 50965, 51173, 50425, 51850, 62945, 51522, 50915, 51317, 51000, 51169, 72900, 65239, 76744, 51560, 51056, 51207, 52056, 51317, 64051, 78928, 50439, 51040, 51519, 50295, 51226, 50445, 59403, 51031, 50997, 51192, 50447, 76497, 54385, 51216, 50943, 51207, 51000, 51317, 50844, 52861, 65958, 61354, 50451, 51040, 77462, 52387, 57701, 50956, 72727, 52280, 63574, 54547, 50461, 52840, 50811, 56451, 50905, 51846, 52996, 51136, 53126, 50292, 51218, 53636, 76945, 51446, 50956, 51274, 50965, 51496, 50417, 51850, 77287, 52527, 56667, 51522, 50915, 51846, 50886, 51136, 60629, 68333, 50427, 52527, 61964, 52527, 51735, 68189, 52691, 51560, 50981, 51846, 52011, 51136, 52011, 50856, 57577, 80216, 51021, 50445, 65359, 51286, 50446, 51027, 50806, 50449, 55458, 58111, 51216, 50915, 51846, 50886, 51136, 53330, 55413, 50452, 54598, 54712, 52213, 69866, 51756, 56860, 54547, 50461, 52527, 50962, 54204, 51255, 51846, 52996, 51317, 52011, 54547, 50415, 59403, 51235, 52861, 50991, 50997, 51189, 51040, 51189, 50416, 52840, 51111, 75712, 50906, 50896, 50423, 52157, 53450, 51261, 51003, 51846, 50886, 51317, 60629, 79492, 50431, 51850, 50962, 68189, 52691, 51461, 50915, 50986, 52996, 50929, 52011, 55458, 76553, 51095, 50956, 50978, 72660, 52387, 50955, 52527, 50859, 51756, 50821, 50876, 65022, 53938, 52318, 50915, 51317, 52996, 51169, 52011, 59403, 51021, 73727, 50451, 52861, 50987, 52840 ]

[ 0, 250, 32076, 8, 33558, 3495, 2214, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 182, 1769, 20889, 8, 10, 231, 73, 306, 86, 6543, 6, 24, 18, 278, 11, 5, 762, 9, 381, 3694, 8, 1171, 10, 33215, 13931, 9, 211, 406, 73, 597, 10431, 8, 83, 4, 20, 17627, 17274, 34879, 8, 1313, 23338, 293, 146, 24, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54838, 50640, 54687, 50483, 50848, 50908, 50944, 76780, 50891, 50960, 50908, 51078, 50908, 50947, 50982, 74734, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51177, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 50374, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51203, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 50368, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 69959, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53910, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 51025, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 53196, 69076, 50847, 57955, 50984, 57742, 58570, 50986, 51126, 61486, 75176, 67671, 50998, 53701, 50584, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51177, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 50374, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51043, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 50368, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 61525, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53910, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 51194, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 53196, 69076, 50847, 57955, 50984, 57742, 58570, 50986, 51126, 61486, 75176, 67671, 50998, 53701, 50584, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51177, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51194, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 60705, 50379, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 74816, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53299, 50804, 56076, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 50845, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 53196, 69076, 50847, 57955, 50984, 57742, 58570, 50964, 50810, 50986, 51126, 61486, 75176, 67671, 50998, 54553, 50379, 53323, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51043, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 53803, 63062, 58817, 61204, 77558, 71971, 51069, 51124, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 50850, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 60705, 50379, 53323, 57039, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 69607, 59240, 63206, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53299, 50804, 56076, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 50885, 65453, 57823, 64705, 50864, 51069, 50977, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 61193, 58644, 67772, 69076, 50847, 57955, 50984, 57742, 58570, 50964, 50878, 50986, 51126, 61486, 75176, 67671, 50998, 54553, 50379, 53323, 54350, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 56223, 50887, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51101, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 51659, 50867, 62422, 54474, 50864, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 55754, 52331, 54818, 51350, 50841, 51915, 50890, 63062, 58817, 61204, 77558, 71971, 51069, 51194, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 70887, 63413, 50998, 51126, 50929, 56693, 51223, 50820, 51726, 60354, 51000, 61773, 63246, 63413, 50909, 78133, 51128, 50986, 50971, 50998, 50971, 50929, 51000, 51032, 60705, 50379, 53323, 57039, 51482, 50895, 74900, 50944, 50810, 55878, 62893, 62105, 64323, 63183, 51067, 50907, 50960, 50368, 59952, 50857, 74248, 69959, 59240, 51482, 50883, 51223, 61585, 50867, 50944, 56608, 50822, 51007, 50813, 70542, 51078, 50886, 67292, 51067, 50374, 53323, 53299, 50804, 56076, 51726, 50809, 61773, 50850, 52482, 56640, 58876, 56031, 50986, 78133, 53726, 63045, 50929, 51123, 51032, 54592, 50584, 54654, 51350, 50835, 51482, 63204, 65453, 57823, 64705, 50864, 51069, 50862, 51069, 50878, 50986, 50928, 50998, 50904, 61486, 51032, 56935, 65280, 55863, 51915, 50840, 58570, 61773, 50847, 68341, 50891, 74103, 50986, 50971, 50929, 74645, 50367, 51564, 61193, 52331, 54154, 51350, 65832, 50941, 50847, 57955, 50984, 57742, 58570, 51069, 50878, 50986, 51126, 61486, 75176, 67671, 50998, 54553, 50379, 53323, 56585, 51915, 55310, 50847, 70246, 50886, 50885, 62170, 50867, 50929, 80030, 50904, 50986, 50367, 51564, 63136, 50998, 50904, 51057, 51482, 50818, 51659, 50904, 55315, 50944, 50833, 55853, 51007, 50822, 50927, 51194, 72540, 69605, 58985, 51067, 53970, 65280, 54878, 51482, 50884, 51355, 50829, 58816, 66523, 50850, 70175, 50813, 72369, 69605, 71308, 51067, 55924, 50379, 53323, 53803, 51250, 50834, 51726, 50809, 63062, 58817, 61204, 77558, 71971, 51069, 51255, 50986, 51210, 59664, 67325, 51032, 51051, 50947, 64843, 50375, 53323, 57050, 51482, 50895, 51350, 60722, 50941, 63413, 50998, 51126, 50929, 56693, 51915, 60782, 51000, 61773, 63246 ]

[ 0, 250, 765, 53, 20425, 5175, 3836, 37903, 6, 4246, 10, 38668, 9590, 8, 483, 6, 19, 10, 15352, 30054, 8, 11299, 16464, 4, 85, 18, 11, 5, 762, 9, 272, 10431, 3694, 6, 34, 10, 1769, 20889, 9, 23006, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 163, 6, 2060, 119, 6, 12608, 119, 6, 163, 119, 1176, 406, 6, 8, 2060, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 53015, 50803, 53570, 52244, 52751, 52801, 52429, 51973, 53015, 53300, 52751, 52119, 53570, 52674, 55013, 50803, 52429, 52057, 53570, 52284, 55013, 52911, 52429, 53532, 55013, 52163, 53570, 52937, 52429, 50803, 50799, 53015, 50803, 52960, 52244, 52751, 52801, 53185, 51973, 53015, 53300, 52751, 52119, 52960, 52674, 54097, 50803, 53185, 52057, 52960, 52284, 54097, 52911, 53185, 53532, 54097, 52163, 52960, 52937, 53185, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 53134, 50803, 52556, 52057, 55058, 52284, 53134, 52911, 52556, 53532, 53134, 52163, 55058, 52937, 52556, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 54097, 50803, 52556, 52057, 55058, 52284, 54097, 52911, 52556, 53532, 54097, 52163, 55058, 52937, 52556, 50803, 50799, 53015, 50803, 53570, 52244, 52751, 52801, 52429, 51973, 53015, 53300, 52751, 52119, 53570, 52674, 54133, 50803, 52429, 52057, 53570, 52284, 54133, 52911, 52429, 53532, 54133, 52163, 53570, 52937, 52429, 50803, 50799, 53015, 50803, 52960, 52244, 52751, 52801, 53185, 51973, 53015, 53300, 52751, 52119, 52960, 52674, 54133, 50803, 53185, 52057, 52960, 52284, 54133, 52911, 53185, 53532, 54133, 52163, 52960, 52937, 53185, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 53134, 50803, 52556, 52057, 55058, 52284, 53134, 52911, 52556, 53532, 53134, 52163, 55058, 52937, 52556, 50803, 50799, 53015, 50803, 55058, 52244, 52751, 52801, 52556, 51973, 53015, 53300, 52751, 52119, 55058, 52674, 54097, 50803, 52556, 52057, 55058, 52284, 54097, 52911, 52556, 53532, 54097, 52163, 55058, 52937, 52556, 50803, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 19, 10, 11602, 9, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 20535, 2810, 6, 3459, 9590, 6, 8, 81, 9756, 8669, 4, 8504, 11, 5, 762, 9, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 20902, 12701, 4450, 20889, 4, 20, 33215, 16739, 9, 163, 119, 6, 381, 6, 8, 274, 10431, 3639, 7, 63, 17627, 17274, 5466, 6, 442, 24, 10686, 13, 258, 822, 8, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 63515, 54140, 52437, 54140, 52565, 54140, 52396, 54140, 50818, 51528, 53338, 50884, 54519, 53420, 64979, 53327, 50870, 51302, 50870, 54321, 53575, 64979, 52594, 52904, 64979, 53012, 53594, 64979, 52612, 50870, 51382, 50870, 53061, 53553, 64979, 52198, 50870, 55669, 50818, 54519, 53420, 64979, 53327, 50863, 51302, 50961, 54321, 53196, 50804, 50837, 52594, 52896, 50804, 50949, 53012, 53114, 50804, 50825, 52612, 79926, 50817, 53061, 53137, 50804, 50829, 52198, 50829, 50799, 52060, 50817, 54519, 54183, 50804, 50928, 53327, 50928, 51302, 50928, 54321, 53962, 50804, 50928, 52594, 54114, 51553, 50817, 53012, 50928, 54141, 50928, 52612, 50928, 51382, 50928, 53061, 54059, 50804, 50928, 52198, 50928, 50799, 52060, 50817, 54519, 54183, 50804, 50928, 53327, 53098, 51553, 50817, 54321, 53962, 50804, 50928, 52594, 54114, 51456, 50817, 53012, 50928, 54141, 50928, 52612, 50928, 51382, 50928, 53061, 54059, 50804, 50928, 52198, 50928, 50799, 51553, 50817, 54519, 54183, 50804, 56016, 52060, 52630, 51553, 50817, 54321, 53962, 51553, 50817, 52594, 54114, 51553, 50817, 53012, 50928, 54141, 63078, 52060, 52568, 51553, 50817, 53061, 54059, 51553, 50817, 52198, 50928, 50799, 52060, 50817, 54519, 54183, 50804, 50928, 53327, 53098, 51553, 50817, 54321, 53962, 50804, 50928, 52594, 54114, 51456, 50817, 53012, 50928, 54141, 50928, 52612, 50928, 51382, 50928, 53061, 54059, 50804, 50928, 52198, 50928, 51528, 56315, 50817, 54519, 53420, 64979, 53327, 50870, 52389, 53338, 50870, 54321, 53575, 64979, 52594, 50870, 51450, 53338, 50870, 53012, 53594, 64979, 52612, 53003, 58995, 50863, 53061, 53007, 50804, 50835, 52198, 50829, 51528, 56315, 50817, 54519, 53420, 64979, 53327, 50870, 52389, 53338, 50870, 54321, 53575, 64979, 52594, 50870, 51450, 53338, 50870, 53012, 53325, 50804, 50837, 52612, 52772, 58995, 50829, 53061, 52920, 50804, 50820, 52198, 50841, 51528, 56315, 50817, 54519, 53405, 50804, 50837, 53327, 50835, 52389, 53338, 50829, 54321, 53063, 50804, 50820, 52594, 50841, 51450, 56315, 50817, 53012, 53325, 50804, 50837, 52612, 52772, 58995, 50829, 53061, 52920, 50804, 50820, 52198, 50841, 51528, 56315, 50884, 54519, 53070, 50804, 50829, 53327, 50820, 52389, 56315, 50817, 54321, 52767, 50804, 50829, 52594, 52600, 50804, 52885, 52220, 50895, 52129, 51463, 52885, 52568, 53431, 52885, 52193, 53431, 67958, 70619, 50952, 51099, 50955, 51429, 50955, 51489, 50955, 64434, 51761, 52851, 51761, 58960, 56561, 54892, 51860, 50879, 51099, 50971, 51429, 50904, 51489, 53803, 53621, 51111, 51099, 50886, 51429, 50855, 51489, 53630, 53893, 53671, 52209, 52607, 51124, 73778, 51429, 50855, 51489, 50813, 52851, 51033, 51888, 64543, 78892, 51429, 50820, 51489, 52923, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 51489, 50862, 52851, 51033, 51888, 51033, 50447, 53204, 55268, 55213, 50887, 73778, 51429, 50840, 51489, 50813, 52719, 51033, 51648, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 78892, 51429, 50855, 51489, 50862, 54961, 51033, 52425, 51033, 70619, 50952, 73778, 51429, 50836, 70815, 56844, 51761, 52310, 51761, 58960, 52586, 54031, 51860, 50879, 51099, 50867, 51429, 50862, 51489, 53901, 53621, 51111, 51099, 50867, 51429, 50855, 51489, 52972, 53893, 53732, 52209, 52607, 51124, 78892, 51429, 50855, 70815, 56844, 51033, 52310, 64543, 51099, 50844, 76022, 51489, 51747, 53850, 52586, 53239, 55213, 50887, 78892, 51429, 50813, 71008, 56844, 51033, 52310, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50855, 51489, 50812, 55912, 51033, 51913, 51033, 59938, 53333, 56883, 51875, 55433, 51598, 50978, 73778, 51429, 50855, 51489, 50862, 55282, 51033, 51963, 62567, 50846, 70619, 50952, 51099, 50844, 51429, 50925, 51489, 50897, 64434, 51761, 52851, 51761, 58960, 52586, 54892, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 53450, 53621, 51111, 51099, 50867, 51429, 50813, 51489, 53197, 53893, 53671, 52209, 52607, 51124, 80062, 51429, 50808, 51489, 50897, 59559, 51033, 52719, 64543, 51099, 50864, 51429, 50864, 51489, 52784, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 70815, 50712, 50291, 51033, 56844, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50836, 70815, 59559, 51033, 52719, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 73778, 51429, 50862, 71008, 57273, 51033, 52970, 51033, 70619, 50952, 80062, 51429, 50812, 51489, 50812, 64434, 51795, 52851, 51795, 58960, 52586, 54031, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 52654, 53621, 51111, 78892, 51429, 50855, 51489, 53351, 53893, 53732, 52209, 52607, 51124, 73778, 51429, 50836, 51489, 52781, 78892, 51429, 50836, 51489, 53632, 53850, 52586, 53239, 55213, 50887, 51099, 50867, 51429, 50862, 51489, 54803, 53204, 55268, 55213, 50887, 78892, 51429, 50855, 51489, 53590, 53850, 53333, 56883, 51875, 55433, 51598, 50978, 73778, 51429, 50855, 51489, 53497, 50846, 70619, 50952, 51099, 50955, 51429, 50955, 51489, 50955, 52851, 51761, 64434, 51761, 58960, 56561, 54892, 51860, 50879, 51099, 50971, 51429, 50904, 51489, 53803, 53621, 51111, 51099, 50886, 51429, 50855, 51489, 53630, 53893, 53671, 52209, 52607, 51124, 73778, 51429, 50855, 51489, 50813, 52851, 51033, 51888, 64543, 78892, 51429, 50820, 51489, 52923, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 51489, 50862, 52851, 51033, 51888, 51033, 50447, 53204, 55268, 55213, 50887, 73778, 51429, 50840, 51489, 50813, 52719, 51033, 51648, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 78892, 51429, 50855, 51489, 50862, 54961, 51033, 52425, 51033, 70619, 50952, 73778, 51429, 50836, 70815, 56844, 51761, 52310, 51761, 58960, 52586, 54031, 51860, 50879, 51099, 50867, 51429, 50862, 51489, 53901, 53621, 51111, 51099, 50867, 51429, 50855, 51489, 52972, 53893, 53732, 52209, 52607, 51124, 78892, 51429, 50855, 51489, 60673, 56844, 51033, 52310, 64543, 51099, 50844, 76022, 51489, 51747, 53850, 52586, 53239, 55213, 50887, 78892, 51429, 50813, 71008, 56844, 51033, 52310, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50855, 51489, 50812, 55912, 51033, 51913, 51033, 59938, 53333, 56883, 51875, 55433, 51598, 50978, 73778, 51429, 50855, 51489, 50862, 55282, 51033, 51963, 62567, 50825, 70619, 50952, 51099, 50844, 51429, 50925, 51489, 50897, 64434, 51761, 52851, 51761, 58960, 52586, 54892, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 53450, 53621, 51111, 51099, 50867, 51429, 50813, 51489, 53197, 53893, 53671, 52209, 52607, 51124, 80062, 51429, 50808, 51489, 50897, 59559, 51033, 52719, 64543, 51099, 50864, 51429, 50864, 51489, 52784, 53338, 52586, 52210, 55213, 50887, 78892, 51429, 50862, 70815, 50712, 50291, 51033, 56844, 51033, 50447, 53204, 55268, 55213, 50887, 51099, 50886, 51429, 50836, 70815, 59559, 51033, 52719, 51033, 58960, 53333, 53545, 51875, 55433, 51598, 50978, 73778, 51429, 50862, 71008, 57273, 51033, 52970, 51033, 70619, 50952, 80062, 51429, 50812, 51489, 50812, 64434, 51795, 52851, 51795, 50804, 50837, 54519, 52432, 51860, 50879, 51099, 50864, 51429, 50857, 51489, 53119, 50895, 53327, 53855, 53621, 51111, 78892, 51429, 50855, 51489, 50380, 54936, 50817, 54321, 52818, 52607, 51124, 73778, 51429, 50836, 51489, 53352, 54248, 52060, 52676, 78892, 51429, 50836, 51489, 54172, 50835, 53012, 53239, 55213 ]

[ 0, 250, 15352, 30054, 8, 14899, 3152, 8, 3495, 2214, 4246, 10, 3152, 6757, 6, 13305, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 33215, 16739, 9, 211, 6, 230, 6, 381, 406, 6, 272, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50791, 71523, 50817, 51570, 52568, 51860, 53960, 60103, 52193, 51598, 51014, 51224, 50817, 68924, 58249, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 51553, 52193, 51598, 51033, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 70312, 50853, 50589, 51820, 50798, 52568, 51860, 51012, 51553, 52193, 51598, 50911, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 51553, 52193, 51598, 51030, 51224, 50817, 68924, 61025, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 52491, 50812, 52491, 52972, 52568, 51860, 51138, 51979, 50812, 51979, 72343, 52193, 51598, 50921, 52656, 50828, 52656, 50828, 52172, 50914, 52172, 77656, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 52608, 50846, 52608, 50846, 52491, 50805, 52491, 50805, 51553, 52193, 51598, 50952, 52394, 50808, 52394, 61775, 50817, 68924, 51013, 52228, 50805, 52228, 51654, 52302, 52394, 50910, 52394, 50910, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51724, 51818, 50937, 56461, 50917, 52129, 52568, 51598, 51379, 51457, 50892, 54310, 50892, 51553, 52193, 51224, 50817, 58675, 51016, 51327, 51662, 53171, 51662, 50798, 52302, 50903, 52630, 53880, 50845, 53880, 54371, 55232, 51632, 76727, 50853, 50589, 51724, 52394, 50805, 52394, 52815, 52228, 51111, 52228, 65764, 52568, 51632, 68915, 52193, 51598, 50830, 52228, 50889, 52228, 50889, 51224, 50817, 68924, 54214, 52302, 52491, 50808, 52491, 67893, 78212, 55232, 51875, 73088, 50853, 50589, 51820, 52491, 50808, 52491, 51747, 52568, 51860, 51012, 51979, 50808, 51979, 52476, 50579, 52193, 51598, 51033, 52656, 50818, 52656, 50818, 52172, 51189, 52172, 51189, 51224, 50817, 68924, 58249, 52302, 50903, 78212, 55232, 51875, 73088, 50853, 50589, 51724, 52608, 50846, 52608, 50846, 52491, 50865, 52491, 55700, 52491, 50865, 52491, 54070, 52568, 51860, 51021, 52228, 50795, 52228, 50795, 51553, 52193, 51598, 50940, 52394, 50800, 52394, 56234, 50817, 68924, 51013, 53580, 50846, 53580, 50846, 52228, 50805, 52228, 51654, 52302, 52394, 50938, 52394, 50938, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51724, 51818, 50822, 56461, 50833, 52129, 52568, 51598, 51460, 51457, 50844, 54310, 55095, 50579, 52193, 51224, 50817, 58675, 51090, 51327, 52431, 53171, 52140, 50798, 52302, 50903, 78212, 55232, 51632, 51573, 53880, 50800, 53880, 51730, 50853, 50589, 51724, 52394, 50830, 52394, 54630, 52228, 50795, 52228, 51428, 52568, 51632, 52476, 50579, 52193, 51598, 50897, 52491, 50967, 52491, 50967, 51224, 50817, 68924, 57825, 52302, 51979, 51060, 51979, 51060, 50903, 78212, 55232, 51875, 51745, 52656, 50818, 52656, 50818, 52172, 50795, 52172, 51428, 50853, 50589, 51820, 52656, 50809, 52656, 50809, 52172, 51048, 52172, 56902, 52568, 51598, 51167, 51553, 52193, 51979, 50983, 51979, 50983, 51224, 50817, 64699, 50923, 53422, 76528, 51020, 68129, 50930, 51403, 53988, 55232, 52241, 51552, 51320, 52958, 53319, 50818, 53319, 50818, 52380, 50795, 53625, 51370, 52267, 51020, 66146, 50880, 51403, 50809, 53319, 50830, 52833, 50830, 52777, 53166, 52241, 51215, 52172, 50795, 52380, 50795, 51320, 52193, 53319, 50800, 52833, 51730, 64128, 68924, 50893, 52436, 50818, 53979, 50818, 53319, 51112, 52833, 51112, 53422, 76528, 65032, 51023, 72738, 50812, 52172, 51060, 52380, 58804, 55232, 51875, 51454, 51320, 52958, 52491, 50938, 52491, 56022, 52267, 51785, 50911, 65032, 51023, 74718, 50840, 51978, 50938, 51978, 50938, 52777, 53166, 51875, 51192, 51320, 52193, 51785, 50923, 51979, 51141, 51979, 57394, 55498, 64699, 50923, 53422, 76528, 51089, 74158, 50880, 51092, 51907, 55232, 52241, 51745, 51979, 50910, 51979, 50910, 51320, 52958, 53319, 50818, 53319, 50818, 52380, 50806, 53625, 51575, 52267, 51089, 62905, 72738, 50840, 53319, 50938, 52833, 50938, 52777, 53166, 52241, 50894, 52172, 50938, 52380, 50938, 51320, 52193, 53204, 50905, 53319, 50840, 52833, 52411, 64128, 68924, 51192, 52436, 50846, 53979, 50846, 53319, 50980, 52833, 50980, 53422, 76528, 51089, 59869, 50880, 51092, 50800, 52172, 51060, 52380, 58804, 55232, 51875, 53238, 51463, 52771, 50908, 52594, 55536, 52958, 51875, 50894, 51410, 50882, 51303, 50894, 51249, 50962, 65032, 51023, 74718, 50808, 52172, 50795, 52380, 51428, 51463, 59252, 51598, 51160, 51410, 51014, 51231, 51021, 51672, 51505, 51083, 51221, 51020, 51238, 51208, 50991, 53319, 51060, 53319, 51060, 53431, 71845, 53166, 51320, 52193, 51632, 56073, 51303, 52311, 51249, 51407, 51327, 52311, 51118, 51036, 51061, 51655, 51023, 51264, 54609, 51359, 54609, 51359, 52949, 52382, 52949, 52382, 52172, 51358, 52380, 64253, 51759, 67958, 51528, 67958, 51544, 52676, 51476, 51003, 51303, 51055, 51249, 51016, 52172, 51048, 52172, 63112, 51410, 51172, 51231, 51460, 51672, 51054, 53319, 50807, 53319, 52959, 50817, 70619, 51655, 51465, 51109, 51231, 51160, 51327, 50889, 55209, 52062, 55209, 52062, 53455, 51449, 53455, 51449, 52380, 50807, 52380, 52910, 51465, 51480, 51231, 51073, 51672, 51090, 53319, 50807, 53319, 52959, 52676, 51476, 51627, 51303, 51013, 51249, 51013, 52172, 51048, 52172, 63112, 51465, 51227, 51231, 51215, 51979, 51048, 51979, 63677, 50817, 61697, 51145, 51303, 51562, 51249, 50918, 51327, 51077, 55017, 51127, 55017, 51127, 54609, 51244, 54609, 51244, 52172, 50918, 52380, 50918, 50856, 52676, 51860, 52919, 51465, 53380, 51249, 53651, 52109, 55362, 55209, 52382, 55209, 52382, 63090, 53363, 63090, 53363, 52172, 53380, 53979, 53380, 50856, 50817, 76501, 51860, 55020, 54085, 51224, 52193, 51598, 50923, 51289, 50817, 68924, 66196, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 51553, 52193, 51598, 51033, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 70312, 50853, 50589, 51820, 50798, 52568, 51860, 51012, 51553, 52193, 51598, 50911, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 51021, 51553, 52193, 51598, 51030, 51224, 50817, 68924, 61025, 52302, 50903, 78212, 55232, 51875, 51745, 50798, 50853, 50589, 51820, 52491, 54070, 52568, 51860, 51138, 51979, 50830, 51553, 52193, 51598, 50921, 52172, 50983, 51224, 50817, 68924, 56910, 52302, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51820, 50798, 52568, 51860, 50923, 52608, 50846, 52608, 50846, 52491, 50805, 52491, 50795, 51553, 52193, 51598, 50952, 52394, 50808, 52394, 56234, 50817, 68924, 51013, 52228, 50805, 52228, 51428, 52302, 52394, 50800, 52394, 50910, 50903, 78212, 55232, 51875, 76727, 50853, 50589, 51724, 51818, 50937, 56461, 50917, 52129, 52568, 51598, 51379, 51457, 50892, 54310, 50892, 51553, 52193, 51224, 50817, 58675, 51016, 51327, 51662, 53171, 51662, 50798, 52302, 50903, 52630, 53880, 50800, 53880, 54371, 55232, 51632, 51573, 53880, 53071, 50853, 50589, 51724, 52394, 50830, 52394, 52815, 52228, 51111, 52228, 59407, 52568, 51632, 50921, 51553, 52193, 51598, 50830, 52228, 51048, 52228, 50889, 51224, 50817, 68924, 59387, 52302, 52491, 50808, 52491, 51060, 50903, 78212, 55232, 51875, 73088, 50853, 50589, 51820, 52491, 50808, 52491, 54070, 52568, 51860, 51012 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 11, 274, 538, 6, 4246, 10, 20902, 11739, 9, 11006, 4122, 12, 1054, 330, 13305, 6, 1675, 13305, 6, 2020, 3548, 6, 17605, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 7630, 6568, 6453, 9, 11098, 6, 657, 6, 8, 5, 12298, 4780, 9, 1619, 4, 20, 33215, 16739, 1171, 163, 428, 401, 6, 163, 43531, 401, 6, 274, 12361, 6, 8, 211, 119, 406, 6, 1271, 7, 5, 2214, 18, 17627, 17274, 8, 1313, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50446, 50640, 50796, 50451, 52449, 50911, 52889, 50805, 50460, 53395, 50844, 52889, 50912, 51809, 52449, 51173, 52889, 51121, 50424, 52495, 51196, 52681, 51103, 50451, 52239, 51505, 52681, 51158, 51601, 52681, 51215, 52449, 51194, 50425, 52681, 50948, 52449, 72426, 52449, 51585, 52889, 51486, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52062, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 55338, 51961, 53937, 51199, 52162, 50932, 52131, 51542, 50428, 52449, 50923, 52889, 50795, 55481, 52101, 50438, 54380, 51535, 73918, 51869, 51749, 50439, 52449, 51274, 52889, 51189, 50446, 51706, 51490, 51955, 65787, 51198, 51448, 55338, 51376, 53937, 51074, 52162, 73752, 51144, 51097, 51099, 50981, 50459, 53395, 50912, 52889, 51269, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 51680, 50415, 52449, 51167, 52889, 51110, 50424, 52269, 50893, 52889, 50873, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 55338, 51481, 53937, 51806, 55481, 52101, 50435, 52681, 51933, 52449, 51692, 50438, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 50933, 51955, 65787, 51198, 51312, 51099, 52056, 53937, 51328, 55338, 51328, 50454, 51144, 72464, 50799, 54380, 51627, 50801, 68417, 51876, 51749, 59235, 52069, 50422, 53476, 52059, 51768, 65787, 51280, 53674, 51561, 51283, 51144, 51965, 51119, 51637, 52344, 50874, 53167, 50955, 50427, 52269, 50806, 53282, 50849, 55481, 52101, 53476, 51884, 52344, 51797, 53167, 51642, 50438, 54747, 51535, 73918, 51708, 51749, 50439, 52269, 51496, 53282, 51141, 50446, 51280, 51490, 51955, 65787, 51561, 51448, 53476, 50959, 52344, 51006, 53167, 70634, 51144, 51097, 51119, 50981, 50459, 53388, 50874, 53282, 50984, 50799, 54380, 73138, 68417, 51876, 52407, 59235, 51680, 50415, 52269, 51286, 53282, 51111, 50422, 53476, 55778, 50423, 52681, 50893, 53282, 50873, 51768, 65787, 51280, 53674, 51561, 51283, 51144, 52136, 51119, 51283, 52344, 50912, 53167, 50978, 55481, 52101, 53476, 51852, 52344, 52378, 53167, 51199, 50435, 52248, 51933, 53282, 51692, 50438, 54747, 51351, 73918, 51708, 51477, 50446, 51280, 56374, 59235, 51123, 51955, 65787, 51561, 51312, 51119, 52056, 53476, 50892, 52344, 51058, 50454, 51144, 72464, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52015, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 55338, 50984, 53937, 51051, 52162, 50955, 50427, 52681, 50893, 52449, 50873, 55481, 52101, 55338, 51481, 53937, 51481, 52162, 51337, 50438, 54380, 51535, 73918, 51869, 51749, 50439, 52681, 51496, 52449, 51141, 50446, 51706, 51490, 73541, 52059, 51955, 65787, 51198, 51448, 55338, 51753, 53937, 51277, 52162, 51233, 50457, 52248, 50854, 52449, 65241, 51144, 51097, 51099, 50981, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 52783, 50415, 52681, 51379, 52449, 51095, 50424, 52239, 50795, 52681, 50845, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 55338, 50864, 53937, 50864, 52162, 50955, 55481, 52101, 55338, 51470, 53937, 51174, 52162, 60234, 52495, 51016, 52681, 56389, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 50870, 51955, 65787, 51198, 51312, 51099, 52056, 55338, 51074, 53937, 51074, 52162, 51242, 50451, 52449, 50806, 52889, 50849, 50454, 51144, 72464, 50459, 53395, 50955, 52889, 51142, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52069, 50416, 52449, 51021, 52889, 69904, 55338, 52059, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 53937, 50874, 52162, 50955, 50427, 52495, 51196, 52681, 51103, 55481, 52101, 55338, 51884, 53937, 51797, 52162, 51642, 50438, 54380, 51535, 73918, 51869, 51749, 50446, 51706, 51490, 51955, 65787, 51198, 51448, 55338, 50959, 53937, 51006, 52162, 71474, 52239, 51158, 52681, 51177, 50458, 51144, 51097, 51099, 50981, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 51680, 50415, 52681, 51158, 52449, 51177, 50422, 55338, 55778, 50424, 52681, 50921, 52449, 50897, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 53937, 50912, 52162, 50978, 55481, 52101, 55338, 51852, 53937, 52378, 52162, 51199, 50435, 52449, 52266, 52889, 51538, 50438, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 51123, 51955, 65787, 51198, 51312, 51099, 52056, 55338, 50892, 53937, 51058, 50454, 51144, 72464, 50799, 55617, 51627, 50801, 68417, 53038, 51749, 73541, 52069, 50422, 55338, 52059, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 53937, 50874, 52162, 50955, 50427, 52449, 50911, 52889, 50805, 55481, 52101, 55338, 51884, 53937, 51797, 52162, 51642, 50438, 54380, 51535, 73918, 51869, 51749, 50439, 52449, 51343, 52889, 51218, 50446, 51706, 51490, 51955, 65787, 51198, 51448, 55338, 50959, 53937, 51006, 52162, 70634, 51144, 51097, 51099, 50981, 50459, 53395, 50942, 52889, 50933, 50799, 55617, 73138, 68417, 53038, 52407, 73541, 51680, 50415, 52449, 51167, 52889, 51110, 50422, 55338, 55778, 50424, 52269, 50893, 52889, 50873, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 52136, 51099, 51283, 53937, 50912, 52162, 50978, 55481, 52101, 55338, 51852, 53937, 52378, 52162, 51199, 50435, 52681, 51336, 52449, 64164, 54380, 51351, 73918, 51869, 51477, 50446, 51706, 56374, 73541, 51123, 51955, 65787, 51198, 51312, 51099, 52056, 55338, 50892, 53937, 51058, 50454, 51144, 72464, 50799, 54380, 51627, 50801, 68417, 51876, 51703, 59235, 51714, 50415, 52269, 50805, 53282, 50892, 51768, 65787, 51280, 52256, 51561, 51477, 51119, 51283, 53476, 51542, 52344, 51961, 53167, 51391, 50427, 52269, 51551, 53282, 51077, 55481, 52101, 50438, 54747, 51535, 73918, 51708, 65825, 50446, 51280, 51080, 51955, 65787, 51561, 51535, 53476, 51210, 52344, 51000, 53167, 50987, 50451, 53282, 51735, 53652, 51073, 50458, 51144, 51333, 51119, 50932, 50799, 54380, 73138, 68417, 51876, 54532, 59235, 52168, 50415, 52449, 51196, 52889, 51103, 51768, 65787, 51280, 52441, 51561, 51310, 51119, 51965, 53476, 51199, 52344, 55197, 53167, 50915, 55481, 52101, 50438, 54747, 51351, 73918, 51708, 51477, 50439, 52269, 51274, 53282, 51189, 50446, 59235, 51210, 51955, 65787, 51280, 51484, 51561, 51576, 51119, 56615, 53476, 51074, 52344, 50933, 53167, 56517, 52681, 51655, 52449, 51353, 50799, 55617, 51627, 50801, 68417, 53038, 52783, 73541, 52062, 51768, 65787, 51706, 52441, 51198, 51542, 51099, 51283, 55338, 51961, 53937, 51199, 52162, 50932, 52131, 51542, 55481, 52101, 50438, 54380, 51535, 73918, 51869, 52441, 50446, 53673, 51706, 53838, 51955, 61382, 51198, 51233, 51144, 51328, 55338, 51376, 53937, 51074, 52162, 73752, 53673, 50799, 55617, 51749, 50801, 68417, 53038, 51749, 73541, 52015, 50424, 52681, 51541, 52449, 51204, 51768, 65787, 51706, 53674, 51198, 51283, 51144, 51965, 51099, 51637, 55338, 50984, 53937, 51051, 52162, 50955, 55481, 52101, 55338, 51481, 53937, 51481, 52162, 51337, 50438, 54380, 51448, 73918, 51869, 51749, 50439, 52269, 51238, 52889, 51255, 50446, 51892, 51706, 52256, 73541, 52059, 51955, 53832, 65787, 51198, 50981, 55338, 51753, 53937, 51277, 52162, 51233, 50451, 52449, 51379, 52889, 51095, 54124, 70723, 50822, 51144, 51008, 51099, 50955, 51755, 68417, 50415, 52239, 50795, 52681, 50845, 53282, 50806, 53139, 50849, 50424, 52239, 50830 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 11926, 10686, 13, 822, 6, 19, 10, 33215, 16739, 9, 3676, 6, 272, 6, 230, 6, 230, 119, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 55524, 51095, 51085, 51204, 63686, 51095, 50429, 75975, 51120, 51204, 50437, 50900, 63883, 51315, 51204, 50459, 50968, 51095, 50900, 51204, 53069, 50968, 60853, 50968, 51095, 53523, 51204, 78313, 58877, 50968, 51095, 50441, 50968, 51095, 50900, 51204, 50445, 50968, 50910, 50449, 50968, 51157, 72407, 51204, 50460, 50900, 50910, 51809, 50968, 51095, 50423, 50916, 51095, 51085, 51204, 51153, 51379, 50431, 50900, 51095, 51153, 51379, 57019, 51095, 51120, 51204, 51153, 51033, 50442, 51153, 51033, 68121, 51077, 51153, 51033, 50449, 51308, 51033, 50453, 51315, 51204, 51153, 51033, 50457, 51516, 51566, 52591, 50968, 51095, 50900, 51204, 51516, 52017, 50428, 50968, 50910, 50431, 50968, 51095, 50435, 50900, 51204, 50439, 50900, 50910, 50443, 50968, 64949, 50968, 51095, 50900, 51204, 50454, 50968, 62990, 50968, 51157, 52177, 50900, 51204, 50421, 50900, 50910, 50425, 50968, 51095, 63174, 51095, 51050, 51204, 51489, 51033, 50436, 51275, 51033, 50440, 50900, 51095, 51153, 51379, 78202, 51095, 51378, 51204, 51275, 51033, 50451, 51275, 51033, 50455, 50900, 51095, 51275, 51541, 57844, 51095, 51026, 51204, 63686, 51095, 51153, 51033, 50425, 51435, 51566, 78740, 51095, 51176, 51204, 50437, 50900, 51095, 51516, 51033, 50440, 51489, 51566, 75795, 51095, 51027, 51204, 50452, 80033, 50455, 80033, 50459, 51027, 51204, 51601, 50900, 50910, 50419, 80033, 56546, 51095, 51176, 51204, 65281, 50910, 74206, 51095, 50441, 51027, 51204, 50445, 50900, 50910, 50449, 50876, 62805, 80033, 51026, 51204, 51275, 51566, 51809, 50900, 51095, 50419, 51489, 51566, 72784, 51095, 51378, 51204, 50431, 50900, 51095, 51153, 52017, 60496, 51095, 51050, 51204, 68121, 50910, 71091, 50449, 50900, 51095, 75640, 50453, 51050, 51204, 50457, 50900, 78123, 75640, 52591, 50965, 51095, 51050, 51204, 50428, 50900, 50910, 50965, 50910, 50431, 50900, 51095, 50965, 51095, 50435, 51050, 51204, 50439, 50900, 50910, 50443, 50965, 51095, 56222, 51095, 51315, 51204, 51153, 51379, 50458, 50900, 50910, 66088, 51153, 51379, 50461, 50900, 51095, 72362, 52177, 51315, 51204, 51153, 51566, 50421, 50900, 50910, 50425, 72362, 50428, 51275, 62019, 50989, 51095, 51120, 51204, 51489, 51379, 50440, 50900, 50910, 50989, 50910, 51275, 51033, 50443, 63365, 50989, 51157, 50447, 51120, 51204, 51153, 51033, 50451, 51119, 51379, 50455, 50900, 62990, 50989, 50910, 51275, 51566, 54578, 51095, 51026, 51204, 63686, 50910, 75975, 51153, 51379, 50425, 50900, 51095, 75975, 50429, 51026, 51204, 51489, 51033, 50433, 50900, 50910, 51275, 51379, 50437, 75975, 50440, 51153, 52266, 65827, 51095, 51085, 51204, 50452, 51026, 50910, 50900, 50910, 80143, 50455, 51026, 51095, 50900, 51095, 50916, 51095, 50459, 51085, 51204, 51601, 51026, 50910, 50900, 50910, 50419, 50900, 51095, 50916, 51095, 56207, 51095, 51050, 51204, 69374, 51095, 50441, 72362, 51315, 51204, 50449, 50900, 62805, 50989, 51095, 51120, 51204, 51809, 50900, 50910, 50989, 50910, 50419, 50900, 51095, 50989, 51095, 50423, 51120, 51204, 77095, 50910, 50431, 50989, 51095, 57019, 51095, 51026, 51204, 68121, 50910, 67559, 50449, 50900, 51095, 75975, 50453, 51026, 51204, 50457, 50900, 78123, 75975, 52591, 50916, 51095, 51085, 51204, 50428, 51026, 50910, 50900, 50910, 50431, 50900, 51095, 50916, 51095, 50435, 51085, 51204, 50439, 51026, 50910, 50900, 50910, 50443, 50900, 51095, 50916, 51095, 59758, 51095, 51085, 51204, 51153, 51379, 50458, 50900, 51095, 51153, 51379, 52177, 75975, 51120, 51204, 51153, 51033, 50421, 51153, 51033, 50425, 50900, 51077, 51153, 51033, 50428, 51308, 62019, 51315, 51204, 51153, 51033, 50436, 51516, 51566, 50447, 50968, 51095, 50900, 51204, 51516, 52017, 50455, 50968, 62990, 50968, 51095, 53975, 51204, 79251, 60853, 50968, 51095, 50429, 50968, 51095, 50900, 51204, 50433, 50968, 79178, 50968, 51157, 55513, 51204, 50448, 50900, 50910, 50452, 50968, 51095, 50459, 75640, 51050, 51204, 51489, 51033, 51601, 51275, 51033, 50419, 50900, 51095, 51153, 51379, 56546, 51095, 51378, 51204, 51275, 51033, 50430, 51275, 51033, 69374, 51095, 51275, 51541, 50441, 50973, 51095, 51026, 51204, 50449, 50900, 51095, 51153, 51033, 50452, 51435, 51566, 50456, 50902, 51095, 51176, 51204, 51809, 50900, 51095, 51516, 51033, 50419, 51489, 51566, 72784, 51095, 51027, 51204, 50431, 80033, 65281, 51095, 63809, 51204, 77025, 64482, 80033, 50453, 80033, 51176, 51204, 50461, 67594, 51809, 80033, 56945, 51204, 50424, 50900, 50910, 50428, 80033, 50435, 80033, 51026, 51204, 51275, 51566, 50443, 50900, 72930, 51489, 51566, 50450, 80033, 51378, 51204, 50458, 50900, 51095, 51153, 52017, 52177, 75640, 51050, 51204, 50425, 50900, 50910, 71091, 50428, 50900, 51095, 50877, 69400, 51050, 51204, 50436, 50900, 50910, 50440, 75640, 50447, 50965, 51095, 51050, 51204, 50455, 50900, 50910, 50965, 62990, 50900, 51095, 50965, 51095, 54197, 51204, 79251, 60853, 50965, 51095, 50429, 72362, 51315, 51204, 51153, 51379, 50437, 50900, 50910, 66088, 51153, 51379, 50440, 50900, 51095, 72362, 50444, 51315, 51204, 51153, 51566, 50448, 50900, 50910, 50452, 72362, 50455, 51275, 78030, 50989, 51095, 51120, 51204, 51489, 51379, 53069, 50900, 50910, 50989, 50910, 51275, 51033, 50422, 63365, 50989, 72265, 51120, 51204, 51153, 51033, 50430, 51119, 51379, 69374, 79178, 50989, 50910, 51275, 51566, 50441, 75975, 51026, 51204, 50449, 75975, 51153, 51379, 50452, 50871, 62805, 51026, 51204, 51489, 51033, 50460, 50900, 50910, 51275, 51033, 51809, 75975, 51119, 51379, 50423, 50916, 51095, 51120, 51204, 51153, 52282, 50431, 51026, 50910, 50900, 50910, 50916, 58877, 51026, 51095, 50900, 51095, 50916, 51095, 66240, 51204, 50442, 51026, 50910, 50900, 64482, 50900, 51095, 50916, 51095, 50453, 50902, 51095, 50997, 51204, 51435, 51551, 50461, 50900, 51095, 52591, 80033, 51027, 51204, 50428, 50900, 51095, 51153, 52282, 50435, 50906, 51095, 51026, 51204, 50443, 50900, 51095, 60027, 51095, 51050, 51204, 50458, 50900, 51095, 51153, 52017, 52177, 72362, 51197, 51204, 50425, 50900, 50910, 66088, 50428, 50900, 51095, 50861, 69400, 51197, 51204, 50436, 50900, 50910, 50440, 72362, 50447, 75640, 51050, 51204, 50455, 50900, 50910, 50877, 62990, 50900, 51095, 75640, 54197, 51204, 79251, 60853, 75640, 78740, 51095, 50997, 51204, 51435, 51551, 50437, 50900, 75658, 80033, 51027, 51204, 50452, 50900, 51095, 51153, 52282, 50459, 50906, 51095, 51026, 51204, 53069, 50900, 51095, 56207, 51095, 51050, 51204, 69374, 51095, 51153, 52266, 50441, 72362, 51197, 51204, 50449, 50900, 50910, 66088, 50452, 50900, 51095, 50861, 62805, 51197, 51204, 50460, 50900, 50910, 51809, 72362, 50423, 50989, 51095, 51120, 51204, 50431, 50900, 50910, 50989, 58877, 50900, 51095, 50989, 51095, 51837, 51379, 66240, 51204, 77025, 50910, 51948, 51033, 50446, 50989, 51095, 51516, 51033, 50449, 51948, 51566, 50453, 75975, 51026, 51204, 50461, 50900, 50910, 67559, 67944, 51516, 51033, 51809, 50900, 51095, 75975, 50906, 51095, 51516, 51033, 56978, 51204, 51435, 51379, 50424, 50900, 50910, 50428, 75975, 50906, 51095, 51639, 51033, 50431, 51308, 51566, 50435, 50916, 51095, 51085, 51204, 50443, 50900, 51095, 51153, 52266, 56415, 51095, 51120, 51204, 50458, 50900, 51095, 52177, 50900, 51095, 72362, 51315, 51204, 50425, 50900, 51095, 50861, 69400, 50968, 51095, 50900, 51204, 50440, 50900 ]

[ 0, 713, 8787, 5175, 15229, 1931, 21683, 10, 15352, 30054, 8, 19448, 13569, 9862, 6, 19, 10, 2842, 9, 1619, 9450, 4, 16241, 212, 6820, 6, 20535, 6, 8, 3038, 45552, 833, 81, 10, 5204, 12638, 1451, 6, 150, 2236, 1021, 2678, 29, 1606, 41, 364, 38537, 10490, 4, 8504, 11, 83, 3694, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 2125, 16, 17407, 30, 10, 16331, 13931, 9, 230, 6, 274, 401, 6, 8, 230, 73, 534, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50796, 61627, 58260, 50809, 67409, 52716, 51276, 50581, 51276, 50597, 55434, 58260, 50809, 67409, 59742, 50957, 50597, 55634, 67409, 50830, 58260, 52744, 50957, 50597, 60272, 58260, 50818, 67409, 52816, 61526, 55053, 58260, 50818, 67409, 52259, 61526, 50864, 50799, 51240, 52090, 51091, 50423, 51236, 67685, 55137, 58915, 51535, 51768, 51370, 57345, 51170, 54162, 52444, 51240, 53871, 60865, 51240, 54787, 51236, 52741, 51170, 56880, 53710, 50967, 52365, 51318, 50456, 51240, 54370, 51236, 50808, 50799, 51240, 52090, 51091, 78739, 55206, 58915, 51749, 51768, 53710, 50983, 51974, 55507, 59046, 51170, 53418, 51240, 52259, 60865, 51240, 62130, 50911, 51955, 69734, 51192, 52365, 51318, 50791, 51291, 50799, 51240, 52090, 51091, 78739, 55206, 50830, 52365, 51535, 51768, 53710, 57345, 51170, 54162, 53307, 51170, 53442, 51240, 53690, 60865, 51240, 56312, 51236, 54411, 51170, 69573, 58915, 51477, 50791, 51291, 50456, 51240, 56419, 51236, 50962, 50799, 51240, 59872, 51091, 50423, 51065, 55507, 54250, 50830, 52365, 51749, 51768, 52744, 51291, 51974, 55507, 54459, 50748, 50309, 55068, 50748, 50313, 55068, 50748, 50318, 55068, 51240, 52816, 51091, 50441, 51240, 55920, 51240, 50893, 51236, 65399, 51170, 71074, 50830, 52365, 74742, 53312, 51240, 50828, 56540, 52048, 53620, 52069, 54037, 52069, 54646, 52069, 51240, 52090, 51091, 78739, 55206, 58915, 51535, 50426, 51170, 50365, 51502, 53710, 57345, 51170, 52816, 53307, 51170, 53442, 51011, 50967, 51240, 53662, 60865, 51240, 63774, 50727, 50321, 50897, 57587, 55620, 74854, 50938, 51133, 50967, 51170, 65465, 53710, 50967, 52365, 51318, 58401, 59132, 51170, 58892, 50727, 50321, 50910, 57587, 50910, 50460, 54341, 52069, 50461, 53605, 51692, 50799, 50727, 50323, 72695, 50991, 54398, 51692, 51240, 52090, 51091, 58085, 64736, 70210, 69734, 55206, 58915, 51749, 59019, 50865, 51768, 53710, 50983, 51974, 55507, 59046, 51170, 52600, 50953, 51060, 51240, 53579, 60865, 51240, 64127, 51236, 53688, 77932, 51170, 56880, 50865, 52365, 51318, 50791, 51291, 50453, 50727, 50318, 50800, 57120, 51754, 51240, 58839, 77526, 50809, 58108, 50809, 50799, 50727, 50321, 50991, 50927, 50967, 54855, 51790, 55431, 51790, 53620, 51790, 51240, 57603, 51091, 57587, 64736, 50727, 50314, 69734, 54250, 50830, 52365, 51535, 64169, 54919, 51170, 64868, 53710, 50983, 51974, 55507, 59046, 51170, 52742, 50945, 50991, 51240, 52259, 60865, 51240, 55260, 51011, 50991, 51170, 62421, 50865, 52365, 51477, 50791, 51291, 50454, 70210, 50800, 59019, 51754, 51240, 53793, 50727, 50318, 50800, 57120, 50800, 65310, 51291, 51240, 52090, 51091, 50417, 77526, 50830, 58108, 55587, 58155, 51790, 55832, 51790, 54398, 51790, 78739, 54250, 50830, 52365, 51749, 51768, 53710, 51291, 51974, 55507, 54459, 51019, 50983, 51240, 57670, 54070, 51091, 50441, 51236, 54840, 51240, 52610, 51170, 62421, 50865, 52365, 74742, 58031, 51236, 53875, 51240, 50846, 53870, 50983, 58155, 52069, 58206, 51353, 54037, 51353, 51240, 59872, 51091, 50423, 50852, 54582, 65820, 51535, 51768, 53710, 50983, 51974, 55507, 56486, 70613, 54582, 50841, 70076, 51724, 50727, 50321, 50865, 52022, 51048, 51240, 53690, 50983, 57587, 55700, 51240, 75237, 70613, 50800, 70076, 51757, 50727, 50321, 50967, 50945, 51112, 51170, 62421, 53710, 50967, 52365, 51318, 57587, 58760, 51240, 69866, 70613, 50800, 70076, 50800, 50799, 77526, 50967, 50953, 50983, 54341, 51692, 54398, 51692, 53605, 51692, 51240, 52090, 51091, 58108, 75826, 70210, 52227, 54582, 65820, 51749, 59019, 51620, 50903, 53710, 50983, 51974, 55507, 56360, 51133, 56902, 60865, 51240, 52610, 50964, 50991, 51170, 56088, 50865, 52365, 51318, 50791, 51291, 50454, 77526, 50800, 58108, 51754, 51240, 67758, 70210, 50830, 59019, 50830, 50799, 50727, 50311, 51048, 50927, 50983, 55431, 52069, 54855, 51353, 53620, 52069, 51240, 52090, 51091, 69108, 51048, 78739, 54250, 50830, 52365, 51535, 51768, 53710, 50983, 51974, 55507, 59046, 51170, 53442, 51271, 51060, 51240, 51730, 50983, 50441, 51236, 54465, 51240, 53153, 51271, 50967, 51170, 62794, 50830, 52365, 51477, 50791, 51291, 50454, 50727, 50311, 50830, 69108, 54896, 51240, 63728, 50727, 50309, 50800, 71198, 50800, 50799, 79047, 65665, 51291, 54341, 51945, 53605, 51945, 54398, 51945, 51240, 59872, 51091, 72846, 60232, 50727, 50309, 50800, 71198, 60721, 79047, 51060, 72846, 51060, 50423, 51065, 55507, 54250, 50830, 52365, 51749, 51768, 52744, 51291, 51974, 55507, 62268, 50748, 50309, 54089, 50748, 50313, 54089, 50748, 50318, 54089, 50438, 51271, 51060, 51240, 54534, 51091, 50441, 51236, 54400, 51240, 58111, 51271, 50991, 51170, 56088, 50865, 52365, 74742, 58031, 51236, 54166, 51240, 50880, 56540, 51048, 54646, 51945, 53620, 51945, 54037, 51945, 51240, 52090, 51091, 50423, 50852, 54582, 65820, 51535, 51768, 53710, 50983, 51974, 55507, 54459, 56414, 50903, 54070, 60865, 51240, 73123, 51236, 71303, 50727, 50321, 50809, 57587, 52555, 58531, 51170, 60369, 53710, 50967, 52365, 51318, 50451, 74854, 50830, 58401, 54896, 51240, 57521, 70776, 50800, 60828, 50800, 53534, 51112, 54341, 51518, 53605, 51518, 54398, 51518, 51240, 59872, 51091, 50415, 50727, 50323, 50967, 58085, 75826, 70210, 69734, 55206, 54772, 61210, 51749, 59019, 54919, 51170, 64429, 53710, 50983, 51974, 55507, 56486, 51170, 53116, 65082, 51240, 53662, 60865, 51236, 64493, 50936, 57762, 50879, 51170, 61295, 50865, 52365, 51318, 50791, 51291, 50454, 50727, 50318, 50809, 57120, 52485, 51240, 66767, 77526, 50800, 58108, 50800, 50799, 50727, 50321, 50991, 50927, 51073, 55431, 51675, 54855, 51675, 53620, 51675, 51240, 59872, 51091, 57587, 64736, 50727, 50314, 50830, 51236, 59719, 54250, 50830, 52365, 51535, 64169, 53244, 51170, 64868, 51370, 57345, 51170, 54162, 53307, 51170, 53116, 63676, 51240, 53393, 60865, 51240, 50936, 57762, 50879, 51170, 63035, 50830, 52365, 51477, 50791, 51291, 50454, 70210, 50800, 59019, 51754, 51240, 57521, 50727, 50318, 50809, 57120, 50809, 52563, 51013, 51240, 54187, 51091, 50417, 77526, 50830, 58108, 55587, 54646, 51518, 56633, 51518, 58206, 51675, 78739, 57919, 58453, 50830, 52365, 51749, 51768, 51370, 51291, 51974, 55507, 52877, 51011, 63388, 64966, 52365, 56544, 50925, 51240, 52610, 51133, 50879, 51170, 60369, 50865, 52365, 74742, 53312, 51240, 50880, 52354, 51013, 55431, 51518, 54646, 51359, 53620, 51945, 51240, 52090, 51091, 78739, 55206, 58915, 51535, 51768, 53710, 50983, 51974, 55507, 56486, 51170, 52742, 66856, 51240, 53690, 60865, 51240, 71097, 70210, 50800, 59019, 51757, 65082, 51170, 63035, 53710, 50967, 52365, 51318, 50451, 50727, 50321, 50865, 57587, 55037, 51240, 56046, 70210, 50800, 59019, 50800, 53534, 51013, 55431, 51518, 54646, 51675, 53605, 51675, 51240, 62233, 51091, 50415, 50727, 50318, 50967, 57120, 75826, 51170, 55064, 58915, 51749, 51768, 51370, 51291, 51974, 55507, 50887, 53758, 76966, 53662, 60865, 51240, 55967, 51236, 54208, 67110, 51170, 63035, 50830, 52365, 51318, 50791, 51291, 50456, 51240, 57521, 70210, 50830, 59019, 50830, 52354, 52392, 58155, 51359, 53605, 51359, 60876, 51359, 51240, 52090, 51091, 50415, 50727, 50319, 50807, 61127, 62405, 50852, 75012, 50921, 52365, 51535, 51768, 53710, 57345, 51170, 54162, 53307, 51170, 53219, 51240, 53690, 60865, 51240, 53153, 51170, 69573, 50865, 52365, 51477 ]

[ 0, 250, 251, 6, 2635, 12, 20764, 5175, 8, 25771, 2125, 11, 274, 538, 6, 4246, 10, 13305, 6, 38668, 11212, 6, 21979, 9590, 6, 2382, 3459, 8669, 6, 8, 21072, 4, 20, 33301, 7630, 6568, 10, 19448, 6, 5679, 26709, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 20, 15229, 11498, 10, 204, 73, 306, 86, 6543, 8, 29769, 198, 5, 40286, 274, 8, 211, 119, 6, 61, 7230, 1328, 5, 2125, 6, 2351, 10, 32625, 8, 23975, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 71965, 51449, 51557, 52062, 51261, 52069, 50420, 51303, 51671, 50426, 51327, 52140, 51457, 51592, 50450, 51414, 51961, 50456, 51616, 52063, 51140, 51242, 72412, 51243, 51401, 52062, 51098, 52069, 50420, 51410, 52062, 50426, 51249, 51592, 51414, 52140, 50450, 51231, 51637, 50456, 51616, 51079, 51140, 51212, 71965, 51243, 51557, 52062, 51261, 52151, 50420, 51303, 74743, 51327, 52168, 51457, 52140, 50450, 51414, 52136, 50456, 51616, 51481, 51140, 51328, 72412, 51449, 51401, 52222, 51098, 52062, 50420, 51410, 53142, 50426, 51249, 51939, 51414, 52140, 50450, 51231, 51965, 50456, 51616, 51481, 51140, 51328, 50799, 55285, 52720, 52303, 51330, 51557, 52335, 51261, 52222, 50856, 50361, 51053, 51790, 50420, 53075, 53486, 51303, 51449, 50856, 67847, 52303, 51330, 51327, 53486, 51457, 52528, 50856, 55003, 50432, 51476, 75836, 55003, 50438, 51410, 52460, 50856, 53379, 50444, 51476, 52063, 50856, 65656, 52303, 52460, 51414, 52136, 50856, 53379, 50456, 53075, 54298, 51616, 52063, 51140, 51328, 53360, 51259, 53379, 72412, 50863, 52690, 54171, 51401, 52062, 51098, 52222, 50856, 50359, 51053, 52069, 50420, 51410, 53588, 50856, 67847, 51249, 52140, 51414, 52528, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 52441, 50856, 55003, 50456, 51616, 51481, 51140, 51481, 50856, 51998, 71965, 51922, 51557, 52062, 51261, 52222, 50856, 50361, 51053, 51692, 50420, 51303, 51748, 50856, 67847, 51327, 52168, 51457, 52783, 50856, 55003, 50432, 50856, 55003, 56797, 53379, 56752, 65656, 51414, 52136, 50856, 53379, 50456, 51616, 51753, 51140, 51277, 50801, 71748, 53379, 72412, 51449, 51401, 51243, 51098, 51293, 50856, 50359, 51053, 52069, 50420, 51410, 53142, 50856, 67847, 51249, 52783, 51414, 53486, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 51466, 50856, 55003, 50456, 53075, 51277, 51140, 58253, 51998, 50799, 56139, 52335, 51557, 54143, 51560, 52062, 54030, 52440, 52356, 50359, 50919, 50361, 59064, 50364, 51053, 51518, 50417, 52356, 72450, 52303, 51753, 50856, 50358, 50792, 50583, 71133, 50426, 51303, 51965, 51231, 52188, 50856, 55003, 50432, 52303, 53096, 50856, 55003, 50433, 52356, 52231, 50436, 52356, 50359, 55958, 63806, 50438, 51687, 52059, 51231, 52048, 53807, 52147, 50856, 53379, 50444, 52303, 52482, 50856, 65656, 51687, 53280, 51231, 52136, 50856, 53379, 50456, 52303, 52460, 50801, 56500, 53379, 50799, 56139, 51243, 51560, 51671, 54876, 55086, 50856, 50359, 51053, 52069, 50420, 52303, 51642, 50856, 67847, 51303, 52168, 51231, 51447, 50856, 53379, 50432, 52303, 54298, 50856, 53379, 50438, 51687, 52034, 50856, 55003, 50444, 52303, 54344, 50856, 53379, 50450, 51687, 56123, 51231, 52256, 54030, 52025, 50856, 55003, 50456, 52303, 51166, 50856, 51998, 50799, 55285, 52720, 52303, 50912, 51557, 52335, 51261, 52222, 53775, 52988, 50856, 50361, 51053, 51692, 50420, 53075, 53486, 51303, 51449, 50856, 67847, 52303, 51330, 51327, 53486, 51457, 52528, 50856, 55003, 50432, 51476, 75836, 55003, 50438, 51410, 52460, 50856, 53379, 50444, 51476, 52063, 50856, 65656, 52303, 52460, 51414, 52136, 50856, 53379, 50456, 53075, 54298, 51616, 52063, 51140, 51328, 52234, 51259, 53379, 72412, 50863, 52690, 54171, 51401, 52062, 51098, 52222, 50856, 50359, 51053, 52069, 50420, 51410, 53588, 50856, 67847, 51249, 52140, 51414, 52528, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 52441, 50856, 55003, 50456, 51616, 51481, 51140, 51481, 50856, 51998, 50799, 55285, 51449, 52303, 51466, 51557, 52062, 51261, 52222, 50856, 50361, 51053, 51692, 50420, 53075, 52980, 51303, 51748, 50856, 67847, 52303, 51797, 51327, 52168, 51457, 52783, 50856, 55003, 50432, 51476, 51753, 50856, 55003, 50438, 51410, 51797, 50856, 53379, 50444, 51476, 51753, 50856, 65656, 52303, 51884, 51414, 52136, 50856, 53379, 50456, 53075, 51753, 51616, 51753, 51140, 51277, 50801, 61212, 53379, 72412, 50837, 52690, 53142, 51401, 51243, 51098, 51293, 50856, 50359, 51053, 51692, 50420, 51410, 53142, 50856, 67847, 51249, 52783, 51414, 53486, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 51466, 50856, 55003, 50456, 53075, 51277, 50801, 61212, 51998, 50799, 56139, 52335, 51557, 54143, 51560, 52062, 54030, 51703, 50856, 50361, 51053, 51538, 50415, 51206, 52611, 50417, 51206, 52611, 50420, 52303, 51753, 51206, 50359, 51259, 51998, 50422, 51206, 55003, 50424, 51206, 55003, 50426, 51303, 51965, 51231, 52188, 50856, 55003, 50427, 51206, 52611, 50429, 51206, 54060, 50432, 52303, 53096, 51206, 50360, 51259, 55003, 50434, 51206, 54060, 50436, 51206, 52611, 50438, 51687, 52059, 51231, 52048, 53807, 52440, 50856, 53379, 50439, 51206, 52445, 50441, 51206, 50360, 50400, 50444, 52303, 52482, 50856, 65656, 51687, 53280, 51231, 52136, 50856, 53379, 50456, 52303, 52460, 50801, 59260, 53379, 50799, 56139, 51243, 51560, 51671, 55199, 55086, 50856, 50359, 51053, 51945, 50420, 52303, 51642, 50856, 67847, 51303, 52168, 51231, 51447, 50856, 53379, 50432, 52303, 54298, 50856, 53379, 50438, 51687, 52034, 50856, 55003, 50444, 52303, 54344, 50856, 53379, 50450, 51687, 56123, 51231, 52256, 53807, 53838, 50856, 55003, 50456, 52303, 73712, 71015, 51998, 50799, 55285, 52720, 52303, 50912, 51557, 52335, 51261, 52222, 53775, 76297, 50856, 50361, 51053, 51518, 50420, 53075, 53486, 51303, 51449, 50856, 67847, 52303, 51330, 51327, 53486, 51457, 52528, 50856, 55003, 50432, 51476, 75836, 55003, 50438, 51410, 52460, 50856, 53379, 50444, 51476, 52063, 50856, 65656, 52303, 52460, 51414, 52136, 50856, 53379, 50456, 53075, 54298, 51616, 52063, 51140, 51328, 50801, 55454, 53379, 72412, 50863, 52690, 54171, 51401, 52062, 51098, 52222, 50856, 50359, 51053, 52069, 50420, 51410, 53588, 50856, 67847, 51249, 52140, 51414, 52528, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 52441, 50856, 55003, 50456, 51616, 51481, 51140, 51481, 50856, 51998, 50799, 55285, 51449, 52303, 51466, 51557, 52062, 51261, 52222, 50856, 50361, 51053, 51677, 50420, 53075, 52980, 51303, 51748, 50856, 67847, 52303, 51797, 51327, 52168, 51457, 52783, 50856, 55003, 50432, 51476, 51753, 50856, 55003, 50438, 51410, 51797, 50856, 53379, 50444, 51476, 51753, 50856, 65656, 52303, 51884, 51414, 52136, 50856, 53379, 50456, 53075, 51753, 51616, 51753, 51140, 51277, 50801, 59260, 53379, 72412, 50837, 52690, 53142, 51401, 51243, 51098, 51293, 50856, 50359, 51053, 51894, 50420, 51410, 53142, 50856, 67847, 51249, 52783, 51414, 53486, 50856, 53379, 50432, 50856, 53379, 56797, 55003, 56752, 53379, 50450, 51231, 51466, 50856, 55003, 50456, 53075, 51277, 50856, 51998, 50799, 56139, 52335, 51341, 53142, 51560, 52062, 53775, 53280, 58498, 53577, 58828, 68086, 59767, 60130, 63811, 66898, 50856, 50361, 51053, 51518, 50420, 52303, 51753, 50856, 67847, 51303, 51965, 51231, 52188, 50856, 55003, 50432, 52303, 53096, 53807, 53577, 59767, 56329, 50856, 55003, 50438, 51687, 52059, 51231, 52048, 50856, 53379, 50444, 52303, 52482, 50856, 65656, 51687, 53280, 51231, 52136, 54142, 52618, 50856, 53379, 50456, 52303, 52460, 52234, 51259, 53379, 50799, 56139, 51243, 51560, 51671, 53775, 52519, 58525, 52519, 50856, 50359, 51053, 51945, 50420, 52303, 51642, 50856, 67847, 51303, 52168, 51231 ]

[ 0, 250, 15855, 2125, 19, 10, 2933, 8, 9066, 6711, 6, 4246, 10, 12280, 3275, 1725, 3109, 816, 10, 2635, 33301, 11, 83, 3694, 4, 20, 1049, 33215, 16739, 6, 381, 6, 83, 6, 211, 6, 381, 6, 83, 6, 16, 702, 23, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 11, 204, 73, 306, 86, 6543, 4, 152, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 442, 24, 10686, 13, 304, 11, 3541, 50, 426, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50415, 52044, 68159, 52205, 60134, 54081, 64262, 54066, 64058, 52044, 52674, 53731, 65196, 53029, 50823, 52205, 51407, 50443, 53895, 59981, 52573, 66054, 52049, 64776, 53029, 57239, 53882, 50823, 51601, 52573, 50824, 50419, 53731, 60134, 52205, 64262, 52662, 50823, 55061, 50824, 50431, 54081, 52674, 53382, 57149, 53029, 50823, 53382, 50824, 50443, 53895, 59981, 52573, 66054, 52049, 50823, 54081, 51059, 50455, 53029, 57239, 53882, 50823, 51601, 52573, 50824, 50419, 53731, 60134, 52205, 64262, 52662, 50823, 55061, 50824, 50431, 54081, 52674, 53382, 57149, 54081, 50823, 53029, 50824, 50443, 54066, 52911, 52205, 57365, 53731, 50823, 55061, 50824, 50455, 52662, 52937, 69289, 51601, 52797, 50823, 53029, 50824, 50419, 52044, 52801, 52049, 56998, 53322, 50823, 55061, 50824, 50431, 52242, 59184, 52550, 65196, 52550, 50817, 59112, 50824, 50440, 53895, 54129, 52550, 58772, 53895, 50975, 50451, 52662, 50817, 59112, 58615, 52205, 57916, 52662, 57859, 53029, 50823, 52205, 50975, 50459, 53895, 50823, 51601, 52662, 50817, 58739, 50823, 50416, 52205, 61792, 52662, 61993, 53249, 50823, 52205, 74377, 52550, 64262, 52662, 50817, 60730, 65759, 52205, 57834, 52662, 58976, 53895, 50823, 52205, 50975, 50435, 52573, 65196, 52662, 50817, 55411, 70736, 52205, 60178, 52662, 58772, 52550, 50823, 52205, 73704, 52740, 66054, 52662, 50817, 55061, 71524, 52205, 57916, 52662, 57859, 52573, 50823, 52205, 50975, 50459, 53322, 50823, 51601, 52662, 50817, 55342, 50823, 50416, 52205, 61792, 52662, 61993, 52740, 50823, 52205, 74377, 52049, 64262, 56280, 50823, 52662, 64058, 53322, 50823, 54081, 59184, 52242, 50823, 53382, 65196, 54081, 50823, 53029, 50824, 50443, 52662, 59981, 52205, 50975, 50451, 52049, 50824, 50455, 53731, 57239, 52416, 50823, 51601, 53731, 50823, 52242, 50824, 50419, 52205, 60134, 52662, 50975, 50427, 52797, 50824, 50431, 52205, 59184, 53731, 65196, 52416, 50823, 51975, 50824, 50443, 52895, 59981, 52416, 50975, 50451, 52049, 50824, 50455, 52895, 57239, 52416, 50823, 51601, 53731, 50823, 52242, 50824, 50419, 52205, 60134, 52662, 50975, 50427, 52797, 50824, 50431, 52205, 59184, 53731, 65196, 52205, 50823, 52740, 50824, 52049, 50824, 50443, 53731, 59981, 52205, 50975, 50451, 52740, 50824, 52049, 50824, 50455, 53731, 57239, 52205, 50823, 51601, 57557, 50823, 53249, 50824, 52740, 50824, 52049, 50824, 50419, 57082, 60134, 52205, 50975, 50427, 53249, 50824, 52740, 50824, 52049, 50824, 50431, 52342, 59184, 52416, 65196, 52342, 50823, 53249, 50824, 52573, 50824, 52292, 50824, 50443, 52416, 59981, 52342, 66054, 52416, 50823, 53249, 50824, 53882, 50824, 52740, 50824, 50455, 52342, 57239, 52205, 50823, 51601, 52342, 50823, 53249, 50824, 52573, 50824, 52292, 50824, 50419, 52416, 60134, 52342, 64262, 52416, 50823, 53249, 50824, 53882, 50824, 52740, 50824, 50431, 52342, 59184, 52205, 65196, 52342, 50823, 52573, 50824, 52292, 50824, 50443, 52416, 59981, 52342, 50975, 50451, 52573, 50824, 52292, 50824, 50455, 52416, 57239, 52342, 50823, 51601, 54081, 50823, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50419, 54066, 60134, 52342, 50975, 50427, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50431, 52416, 59184, 52044, 65196, 52416, 50823, 53029, 50824, 52550, 50824, 52740, 50824, 50443, 52044, 59981, 52416, 66054, 52044, 50823, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50455, 52416, 57239, 52342, 50823, 51601, 52416, 50823, 53029, 50824, 52550, 50824, 52740, 50824, 50419, 52044, 60134, 52416, 64262, 52044, 50823, 53029, 50824, 53895, 50824, 52573, 50824, 52292, 50824, 50431, 52416, 59184, 52342, 65196, 52342, 50817, 52550, 50824, 52740, 50824, 50440, 52416, 54129, 52342, 58772, 52416, 50975, 50451, 53382, 50823, 55411, 50824, 52550, 50824, 50455, 52205, 57239, 53640, 50823, 51601, 54073, 50823, 55411, 50824, 52550, 50824, 50419, 51975, 60134, 53634, 64262, 52205, 50823, 55411, 50824, 52550, 50824, 50431, 52443, 59184, 53324, 50823, 52342, 65196, 55411, 50824, 52550, 50824, 52049, 50824, 52416, 67067, 53382, 50823, 55411, 50824, 52550, 50824, 50455, 52205, 57239, 53640, 50823, 51601, 54073, 50823, 55411, 50824, 52550, 50824, 50419, 51975, 60134, 53634, 64262, 52205, 50975, 55411, 50824, 52550, 50824, 50431, 52443, 59184, 53324, 50823, 52342, 65196, 55411, 50824, 52550, 50824, 52049, 50824, 52416, 67067, 52416, 50823, 55411, 50824, 52550, 50824, 50455, 52443, 57239, 52416, 50823, 51601, 52205, 50823, 59112, 50824, 53029, 50824, 50419, 53640, 60134, 52205, 64262, 52416, 50975, 59112, 50824, 53029, 50824, 50431, 52443, 59184, 52292, 50823, 52044, 65196, 58739, 50824, 53249, 50824, 52740, 50824, 53634, 67067, 52662, 50823, 58739, 50824, 53249, 50824, 50455, 52416, 57239, 52205, 50823, 51601, 52342, 50823, 58739, 50824, 53249, 50824, 50419, 52044, 60134, 52797, 64262, 53324, 50823, 58739, 50824, 53249, 50824, 50431, 52292, 59184, 52044, 65196, 58739, 50824, 53249, 50824, 52740, 50824, 53634, 67067, 52662, 50823, 58739, 50824, 53249, 50824, 50455, 52416, 57239, 52205, 50823, 51601, 52342, 50823, 58739, 50824, 53249, 50824, 50419, 52044, 60134, 52797, 64262, 53324, 50823, 58739, 50824, 53249, 50824, 50431, 52292, 59184, 52044, 65196, 58739, 50824, 53249, 50824, 52740, 50824, 53634, 67067, 54081, 50817, 58739, 71524, 52662, 54085, 54081, 57859, 53249, 50823, 52662, 50975, 50459, 53882, 50823, 51601, 54081, 50817, 60730, 50823, 50416, 52662, 55265, 54081, 61993, 53895, 50823, 52662, 74377, 52573, 64262, 54081, 50817, 59040, 65759, 52662, 54396, 54081, 58976, 53882, 50823, 52662, 50975, 50435, 52740, 65196, 54081, 50817, 55061, 70736, 52662, 54129, 54081, 58772, 52573, 50823, 52662, 73704, 53322, 66054, 54081, 50817, 55342, 71524, 52662, 54085, 54081, 57859, 52740, 50823, 52662, 50975, 50459, 52049, 50823, 51601, 54081, 50817, 56280, 50823, 50416, 52662, 55265, 54081, 61792, 53322, 50823, 52662, 73129, 52242, 53537, 57557, 50817, 53029, 65759, 54081, 54396, 57557, 57834, 52049, 50823, 54081, 73637, 52797, 53925, 54066, 50817, 53249, 70736, 57557, 54129, 54066, 60178, 52242, 50823, 57557, 74661, 53634, 53798, 54066, 50823, 55061, 66395, 52662, 56250, 53731, 50823, 50799, 52205, 50823, 53029, 73354, 52662, 56733, 54081, 50823, 52044, 54107, 53731, 50823, 53249, 65514, 52205, 55996, 53634, 50823, 52416, 53925, 55061, 50824, 52044, 67067, 52573, 50823, 54066, 50824, 50455, 52044, 57239, 53731, 50823, 51601, 53895, 50823, 54066, 50824, 50419, 52797, 60134, 52044, 64262, 53029, 50823, 66262, 51059, 50431, 52049, 59184, 52797, 65196, 58739, 50824, 50443, 57082, 59981, 57557, 66054, 52662, 50823, 58739, 50824, 50455, 57082, 57239, 66262, 50823, 51601, 71461, 50823, 55061, 50824, 52662, 50824, 50419, 57082, 60134, 71461, 64262, 57082, 50823, 58739, 50824, 52205, 50824, 50431, 54066, 59184, 57082, 65196, 55061, 50824, 53731, 50824, 54066, 67067, 52573, 50823, 54066, 50824, 50455, 52044, 57239, 53731, 50823, 51601, 53895, 50823, 54066, 50824, 50419, 52797, 60134, 52044, 64262, 53029, 50823, 66262, 51059, 50431, 52049, 59184, 52797, 65196, 58739, 50824, 50443, 57082, 59981, 57557, 66054, 52662, 50823, 58739, 50824, 50455, 57082, 57239, 66262, 50823, 51601, 71461, 50823, 55061, 50824, 52662, 50824, 50419, 57082, 60134, 71461, 64262, 57082, 50823, 58739 ]

[ 0, 250, 20902, 8, 14899, 3495, 2214, 19, 10, 11602, 9, 19834, 4785, 6, 42, 8787, 2125, 22750, 1626, 11098, 8, 1619, 9450, 4, 27901, 10, 11577, 11739, 9, 2003, 38704, 31365, 25999, 6, 3459, 9590, 6, 32909, 6, 3459, 8669, 6, 8, 10, 20535, 2810, 6, 24, 11498, 10, 1769, 20889, 9, 18817, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 163, 538, 6, 5, 15229, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 163, 406, 6, 274, 10431, 6, 8, 230, 10431, 406, 6, 1271, 7, 63, 33558, 8, 2365, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 52013, 63098, 52013, 52125, 52013, 56827, 52013, 50923, 50799, 52013, 50802, 60260, 54886, 50823, 51553, 53798, 51456, 51014, 50454, 51224, 75183, 51326, 50823, 50799, 52745, 51184, 53170, 51161, 53084, 51161, 53144, 53090, 53088, 52045, 52421, 53090, 52333, 52045, 50801, 73256, 65487, 50993, 66071, 50415, 52310, 51161, 53147, 51161, 60985, 51161, 50416, 52027, 56769, 51944, 55362, 51440, 53898, 50422, 55424, 50887, 53252, 50828, 53469, 50840, 52880, 54020, 64785, 51033, 51205, 54856, 51068, 59451, 65900, 51045, 51415, 51138, 50434, 55424, 50887, 53252, 50895, 53469, 50890, 52880, 54441, 64785, 50921, 51415, 51033, 51658, 59146, 51045, 51011, 70894, 55424, 50895, 53252, 50895, 53469, 50884, 52880, 54441, 59146, 50952, 51011, 54596, 51068, 57353, 63661, 51045, 51213, 51030, 61092, 67098, 52578, 50800, 53152, 50800, 52314, 50830, 52698, 57924, 52264, 50830, 52377, 50800, 56381, 75087, 52489, 50830, 52747, 57459, 55424, 50836, 53252, 50846, 53469, 50840, 52880, 50890, 53152, 50830, 52578, 50800, 52314, 50800, 52698, 52218, 61845, 50940, 51213, 50858, 61092, 50800, 50799, 53170, 50967, 52310, 51060, 53147, 50967, 53084, 56937, 68067, 51045, 66071, 60985, 50991, 50421, 52489, 71587, 52745, 50895, 55424, 50895, 53252, 50895, 53469, 50818, 52880, 50895, 52747, 50967, 52264, 50795, 52377, 55955, 59146, 50897, 51205, 59214, 52700, 51021, 68513, 51021, 56381, 51631, 52027, 50821, 51944, 51033, 51808, 74966, 57652, 55415, 50823, 51415, 51138, 50428, 51702, 54013, 51776, 50818, 51509, 50818, 52384, 50818, 55291, 50818, 54833, 57318, 51713, 50818, 51888, 50818, 51744, 50818, 52058, 50818, 51947, 50818, 58166, 56999, 51648, 50818, 51485, 50818, 51431, 50818, 52339, 50818, 56167, 52209, 51683, 50818, 51906, 50818, 51723, 50818, 51898, 50818, 53093, 50818, 56187, 57201, 51913, 50818, 52039, 50818, 52334, 50818, 53266, 50818, 53456, 56859, 52745, 50961, 55424, 50895, 53469, 50887, 52880, 50884, 51963, 50818, 52103, 50818, 53808, 50818, 56173, 54005, 55941, 50952, 51415, 53660, 53076, 50962, 50718, 50322, 50962, 50436, 53252, 52565, 52027, 50911, 51944, 50806, 51440, 51286, 51924, 56795, 73256, 51045, 70994, 67894, 50911, 50446, 52027, 50930, 51944, 50895, 51808, 50895, 51390, 50882, 55424, 50890, 53252, 50818, 53469, 50884, 52880, 54405, 59146, 50910, 51213, 50894, 59686, 54988, 52745, 50820, 53152, 50800, 52698, 74427, 57652, 55415, 50823, 61674, 50451, 51590, 51354, 52578, 50800, 52314, 50800, 61092, 50800, 62435, 51354, 50454, 52489, 50800, 52264, 50800, 52377, 50800, 51105, 70329, 52747, 50830, 56381, 66656, 53152, 57459, 52027, 52017, 51944, 56769, 51808, 56073, 51229, 50834, 55424, 50883, 53252, 50884, 53469, 50818, 52880, 50846, 52578, 50800, 52314, 50830, 52698, 55236, 68067, 50830, 51213, 50921, 61092, 50800, 57683, 50834, 50799, 52745, 51445, 52310, 50795, 53170, 50795, 53147, 50795, 53084, 50795, 53144, 52024, 53088, 52149, 52421, 51492, 52333, 52024, 50801, 73256, 51045, 51205, 51138, 60985, 62192, 51390, 50976, 59686, 72693, 55424, 50883, 53252, 50884, 53469, 50884, 52880, 50818, 53170, 50991, 52310, 51060, 53147, 50967, 53084, 68868, 70398, 50910, 51205, 50821, 60985, 51060, 60659, 57353, 55415, 50823, 51415, 51045, 50427, 51390, 50911, 59686, 50911, 50430, 52489, 50800, 52747, 50800, 52264, 50809, 52377, 50800, 56381, 57659, 53152, 50830, 52578, 50865, 52698, 50800, 61092, 57083, 51590, 51160, 55424, 50930, 53252, 50818, 53469, 50846, 52880, 50887, 52314, 52218, 68067, 50897, 51415, 51033, 62435, 51160, 50437, 52148, 50807, 56293, 61636, 52002, 51048, 51913, 51048, 52067, 72263, 73256, 51014, 51011, 70089, 55424, 50884, 53252, 50884, 53469, 50890, 52880, 54020, 73256, 50910, 51011, 50940, 50449, 52578, 50800, 53152, 50830, 52314, 51757, 52698, 74427, 57652, 65900, 51045, 70014, 61092, 52809, 52747, 57924, 52489, 50800, 52264, 50800, 52377, 50865, 56381, 59747, 52314, 50830, 61092, 56388, 52027, 52188, 55424, 50895, 53252, 50818, 53469, 50834, 52880, 50880, 52578, 50830, 53152, 50800, 52698, 52218, 61845, 50910, 51213, 50940, 50461, 52148, 50795, 50799, 52745, 51191, 52002, 50795, 51913, 51060, 52067, 55955, 73256, 51014, 51205, 50911, 56293, 69817, 52148, 51060, 56293, 71587, 52027, 50836, 51924, 51072, 55424, 50818, 53252, 50818, 53469, 50839, 52880, 50930, 51913, 75157, 50795, 52067, 56937, 55941, 50910, 51205, 50859, 67894, 66489, 52027, 51030, 51944, 51138, 51808, 51138, 51068, 54792, 65900, 51045, 77308, 50430, 52719, 50830, 51648, 50800, 51485, 50809, 52058, 50800, 56167, 52359, 51390, 50858, 59686, 64338, 64795, 57083, 52745, 50839, 51590, 50962, 55424, 50884, 53252, 50884, 53469, 50841, 52880, 50818, 56844, 50809, 52298, 50809, 53175, 52218, 68067, 50910, 51228, 50940, 62435, 61968, 52310, 58291, 51485, 52424, 52027, 50910, 52719, 50807, 51648, 51048, 52058, 72263, 68067, 51014, 69078, 56167, 51048, 50439, 51590, 50824, 62435, 50824, 50440, 51808, 61334, 52027, 50894, 51944, 51033, 51440, 51033, 55424, 50890, 53252, 50818, 53469, 50820, 52880, 54376, 73256, 50897, 50927, 53484, 56844, 50967, 52310, 50967, 52298, 51060, 53175, 50991, 51068, 54792, 54286, 51014, 51105, 51021, 64795, 59831, 52745, 50840, 55424, 50887, 53252, 50887, 53469, 50863, 52880, 50890, 51898, 50800, 53093, 52773, 66889, 50910, 51105, 50921, 64795, 57319, 51913, 56904, 51963, 50818, 51485, 50967, 52058, 51060, 67548, 55362, 51929, 56073, 51808, 52017, 52103, 50818, 53245, 50840, 51953, 51492, 52977, 52024, 52333, 52250, 50801, 73256, 51010, 66827, 56167, 66139, 52301, 50928, 51914, 52204, 50421, 53175, 57257, 55424, 50887, 52760, 50887, 53232, 50887, 52880, 50846, 52298, 52218, 64785, 51033, 70996, 64795, 58067, 53093, 51060, 59931, 51631, 51898, 51060, 51068, 59451, 65900, 51045, 51817, 51138, 50427, 52058, 64977, 52745, 51645, 50434, 55243, 51210, 55424, 50890, 52760, 50887, 53232, 50809, 52880, 50828, 52298, 50967, 57929, 52045, 52384, 52045, 53175, 53305, 64785, 50921, 51817, 50921, 64795, 52424, 52745, 51411, 50801, 59146, 51045, 51271, 51030, 50442, 51898, 52510, 52039, 57000, 55243, 51309, 51924, 50802, 55424, 50895, 52760, 50890, 53232, 50809, 52880, 54020, 59146, 50952, 51271, 50800, 67894, 55373, 53093, 60794, 53266, 57868, 53456, 52396, 52745, 51277, 51068, 57353, 63661, 51045, 67044, 50457, 58837, 56388, 52745, 51203, 51924, 51014, 55424, 50895, 52760, 50809, 53232, 50839, 52880, 50887, 53175, 52218, 61845, 50940, 51415, 50921, 64795, 50865, 67894, 51014, 50799, 55243, 51203, 55173, 50795, 52058, 68868, 68067, 51045, 66827, 56167, 51060, 50415, 51390, 51111, 59686, 51111, 50422, 52745, 50895, 51660, 50895, 51929, 50884, 51924, 50982, 55424, 50883, 52760, 50887, 53232, 50887, 52880, 54020, 59146, 50897, 69599, 67894, 53356, 55243, 50971, 57754, 51060, 53093, 51060, 51068, 57652, 55415, 50823, 74902, 59931, 51060, 50427, 51590, 50821, 62435, 67631, 58837, 50918, 64795, 51358, 50434, 52745, 51227, 51614, 51196, 51929, 51356, 51808, 51148, 55424, 50895, 52760, 50887, 53232, 50840, 52880, 50887, 53175, 62695, 55941, 50952, 51325, 73073, 51590, 51551, 62435, 51551, 50438, 55243, 66667, 73256, 51045, 66486, 50442, 51019, 62182, 52745, 51221, 55424, 50883, 52760, 50890, 53232, 50890, 72774, 53175, 53305, 59146, 50910, 51011, 58631, 55243, 50987 ]

[ 0, 250, 15352, 30054, 5175, 8, 25771, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 38668, 11212, 6, 3459, 9590, 6, 21072, 6, 8, 3152, 6757, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 33215, 16739, 9, 274, 119, 406, 6, 163, 428, 406, 6, 12608, 119, 1176, 406, 6, 8, 2060, 119, 1176, 406, 3639, 7, 63, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50791, 50857, 51544, 60633, 51289, 52444, 50816, 50890, 60409, 50908, 53012, 50908, 62177, 59892, 50804, 55721, 50816, 50839, 51899, 50887, 53061, 53555, 50804, 55053, 51326, 50857, 51528, 55476, 53203, 53369, 51592, 52027, 51592, 51515, 51677, 51434, 51692, 51929, 51486, 51607, 51662, 52936, 50918, 53088, 51592, 51859, 51592, 51676, 51939, 52977, 51662, 51829, 51592, 51061, 53486, 51281, 52980, 51092, 52168, 50816, 53376, 50586, 64729, 51546, 52015, 51810, 72270, 51070, 53349, 57050, 51070, 53031, 51070, 52621, 50816, 55941, 54247, 51096, 50873, 51224, 60387, 54914, 51070, 52846, 64666, 51326, 60387, 56782, 51070, 61021, 51061, 51318, 50456, 52435, 51283, 51515, 51134, 51434, 51191, 51773, 51351, 51607, 51419, 51228, 50918, 53245, 51080, 51859, 51314, 51676, 51080, 52317, 51244, 51829, 51314, 51092, 51318, 51281, 51115, 52243, 53692, 50857, 52591, 63911, 51157, 51326, 50809, 51694, 54274, 54883, 50816, 52922, 53031, 51774, 51680, 51660, 51145, 51929, 51417, 52603, 51448, 50964, 51291, 51953, 51680, 52977, 52168, 52317, 51680, 53146, 51680, 53426, 51680, 65049, 50889, 51546, 51203, 51020, 51380, 52613, 55550, 60387, 52621, 50856, 53114, 63911, 50889, 51513, 56439, 52909, 54914, 51262, 63172, 50891, 51899, 55768, 59418, 60068, 51781, 50974, 63016, 53007, 62741, 65049, 50812, 51262, 61605, 55053, 56620, 50812, 51513, 50912, 52354, 51291, 53088, 53588, 51859, 52222, 51676, 52222, 52977, 52335, 51829, 52222, 65049, 50805, 51262, 51480, 50798, 64785, 54657, 56620, 51103, 50843, 56162, 55470, 50798, 54156, 53369, 51965, 51515, 51391, 51434, 51419, 51929, 51191, 51607, 51351, 51281, 51101, 51092, 51423, 51546, 51337, 50816, 54320, 59418, 57334, 51810, 51309, 50429, 51070, 53031, 50843, 56500, 57072, 54248, 51443, 50942, 51281, 67171, 51546, 50941, 51810, 50941, 51092, 59656, 51796, 50805, 51546, 50941, 51092, 50982, 51810, 51126, 51281, 56935, 53406, 53162, 51515, 50857, 51434, 50839, 51929, 50862, 51607, 50886, 51096, 55185, 50379, 53823, 54274, 54914, 51456, 54018, 52846, 53369, 50838, 54632, 52445, 64666, 51224, 50378, 52663, 50453, 51326, 52922, 61021, 51495, 51080, 50456, 52435, 51145, 51515, 51391, 51929, 51141, 51607, 51351, 51228, 50983, 53245, 51314, 51859, 51080, 52977, 51244, 51829, 51080, 51061, 51627, 51281, 63346, 64665, 67321, 51092, 51535, 55986, 55892, 64685, 63911, 51077, 53158, 54654, 52022, 53404, 54320, 59418, 54883, 51228, 58122, 53031, 51774, 52015, 51660, 51397, 51929, 51183, 51773, 51749, 51808, 52263, 52603, 51448, 50964, 51661, 51953, 52783, 52977, 53486, 52317, 51680, 53146, 52168, 53426, 52783, 51281, 51452, 51546, 51803, 51089, 51452, 70462, 50378, 55550, 55101, 59721, 56620, 54465, 59017, 54690, 56690, 57812, 54914, 68306, 55153, 60387, 57855, 60285, 55250, 50855, 51899, 50382, 52663, 50452, 68306, 50812, 54706, 57388, 61021, 58267, 50836, 59017, 57313, 50964, 59215, 50378, 53221, 56249, 56620, 51894, 75235, 53588, 51515, 51803, 51434, 51662, 51929, 51692, 51607, 51939, 55436, 53088, 53142, 51859, 52071, 51676, 52222, 52977, 52062, 51829, 52062, 50798, 57877, 50834, 53158, 53109, 50945, 53303, 54156, 50953, 51111, 51281, 52059, 51092, 51642, 51546, 51412, 51810, 51645, 50816, 57259, 57812, 54883, 51070, 53031, 50856, 58869, 54248, 63657, 51281, 51000, 51546, 51000, 51810, 50941, 51092, 59656, 51325, 50805, 51546, 50912, 51810, 50912, 51281, 50827, 51092, 57515, 55595, 58037, 51769, 53041, 52027, 51411, 51096, 57652, 57503, 54914, 51769, 52922, 52846, 51515, 50937, 50964, 59343, 60387, 56782, 51070, 53007, 52435, 51134, 51515, 51419, 51929, 51391, 51607, 51391, 51228, 50983, 53245, 51447, 51859, 51314, 52977, 51314, 51829, 51447, 51495, 51627, 51061, 51283, 51281, 68432, 57479, 64853, 51092, 51318, 55858, 53738, 56620, 51157, 50856, 54317, 50945, 58895, 54320, 58122, 54883, 51325, 55127, 53031, 51774, 51535, 51660, 51218, 51929, 51115, 52603, 51295, 51186, 51218, 51953, 52168, 52977, 53486, 52317, 51680, 53146, 51680, 53426, 52783, 68306, 50889, 51118, 52460, 51281, 51203, 51089, 51199, 51546, 51775, 50798, 69044, 53246, 52621, 50856, 55434, 67544, 51124, 51513, 56162, 53246, 54914, 51262, 64274, 52846, 51781, 56255, 53246, 71191, 54859, 68611, 51100, 51070, 53007, 51105, 50873, 51262, 54784, 50379, 53692, 56551, 68306, 50938, 51513, 50851, 75235, 58728, 51774, 58728, 51515, 56235, 51434, 55116, 51929, 55482, 51607, 55482, 50945, 51264, 54609, 73728, 53088, 54270, 51859, 53201, 51676, 52829, 52977, 52204, 51262, 51445, 52693, 71620, 54165, 71620, 53465, 63712, 56679, 58962, 56336, 58962, 52855, 52526, 71768, 58048, 51307, 51361, 56516, 78499, 51471, 50436, 57974, 50852, 58078, 50852, 55371, 50740, 50335, 64880, 50454, 51769, 58958, 51769, 50863, 51601, 51769, 63094, 51543, 51480, 50420, 51186, 51400, 50429, 51325, 50822, 51781, 52739, 50945, 51448, 51262, 51080, 51321, 59701, 50843, 61495, 60285, 55758, 51289, 70332, 58048, 50897, 50460, 68306, 50812, 50799, 57117, 51318, 52557, 51749, 51515, 51397, 51929, 51295, 51607, 51115, 51096, 50889, 52693, 51447, 54165, 51447, 53465, 51145, 62031, 52558, 50417, 59017, 51191, 50843, 54819, 51262, 50864, 53861, 59705, 50864, 51768, 50840, 52385, 50429, 51262, 50864, 51334, 61005, 55286, 51096, 50925, 51893, 72494, 52873, 57039, 50843, 55108, 54437, 51391, 51774, 51542, 51660, 51391, 51434, 51391, 51773, 51310, 50964, 51345, 51350, 51244, 53278, 51447, 52507, 51447, 53361, 51145, 51924, 51878, 57125, 50862, 54268, 68937, 68306, 71694, 56197, 59017, 54796, 54915, 51796, 51346, 77653, 65780, 68306, 50897, 54710, 67010, 58048, 50897, 51453, 50886, 55975, 59025, 68306, 50897, 75235, 51381, 54632, 51679, 51774, 51381, 52027, 51419, 51929, 51134, 51607, 51419, 52936, 50889, 53460, 51447, 52693, 51671, 54165, 51293, 62031, 52558, 50417, 58048, 63342, 54819, 51513, 50864, 53861, 50423, 60285, 63342, 50864, 51768, 50840, 52385, 50428, 58048, 77554, 52936, 50844, 51513, 55716, 55286, 51105, 50938, 68306, 68796, 52873, 57039, 50843, 55108, 52557, 51283, 51614, 51391, 51515, 51241, 51929, 51134, 51096, 51204, 51195, 51145, 52583, 51447, 57125, 50862, 54268, 50971, 51180, 56197, 50843, 54915, 60285, 50897, 77653, 50862, 54710, 68357, 58048, 57431, 51096, 56522, 57187, 68306, 63342, 50825, 76759, 51318, 52435, 51318, 51515, 51115, 51773, 51310, 51096, 51141, 54522, 51447, 52693, 51447, 54165, 51447, 53465, 51145, 62031, 52558, 50417, 65049, 51159, 50843, 54819, 51781, 50857, 51674, 51128, 51256, 50941, 51917, 51319, 53861, 59705, 50864, 51768, 50840, 52385, 50429, 56620, 50897, 51781, 50864, 51674, 51166, 51256, 50838, 51917, 52518, 50843, 55286, 51186, 57564, 52873, 71367, 65049, 50897, 64993, 55108, 55677, 51097, 52435, 50995, 51434, 51109, 51773, 50981, 51105, 51417, 56620, 69154, 51080, 55080, 51447, 52507, 51447, 53361, 51145, 51772, 51108, 51917, 51466, 51209, 51108, 57125, 50862, 54268, 50971, 51180, 59763, 59017, 51124, 59341, 54915, 51408, 50933, 77653, 58186, 51209, 57729, 55835, 56620, 51110, 51256, 54225, 57187, 51772, 52168, 72415, 50799, 68641, 51108, 54632, 51542, 51434, 51542, 51773, 50981, 52603, 50981, 51325, 51241, 53460, 51447, 54165, 51671, 53465, 51293, 51451, 51490, 53008, 51447, 62031, 52558, 53440, 54819, 59017, 51110, 51250, 50864, 53861, 59705, 50864 ]

[ 0, 250, 765, 53, 9066, 37903, 9, 3495, 3152, 930, 6, 5378, 16364, 19, 1007, 8, 11926, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 4246, 10, 881, 21263, 9, 5, 272, 119, 8, 12608, 401, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 51085, 58035, 53561, 51085, 51631, 51197, 58509, 51736, 51085, 58035, 51646, 51085, 58509, 53218, 51085, 52728, 50900, 51923, 51197, 58509, 50807, 53997, 52115, 51085, 59006, 52910, 51197, 51736, 51085, 56962, 52424, 51085, 51918, 51085, 55890, 53312, 51197, 58035, 50795, 53997, 58035, 53561, 51085, 51631, 51197, 58509, 51736, 51085, 58035, 51646, 51085, 58509, 53218, 51085, 52728, 50900, 51923, 51197, 58509, 50807, 53997, 52115, 51085, 59006, 52910, 51197, 51736, 51085, 56962, 52424, 51197, 51918, 51050, 56730, 51798, 51176, 54828, 51923, 51085, 58035, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 8787, 3495, 8, 3152, 24904, 2125, 6, 42, 15229, 30853, 23, 41, 178, 5285, 20889, 11, 163, 538, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 163, 119, 6, 274, 10431, 6, 381, 6, 211, 6, 8, 272, 4, 20, 13305, 8, 30587, 8669, 483, 5, 33301, 6, 7513, 30, 5, 21040, 2426, 6, 33704, 5675, 22052, 6, 8, 21072, 6, 2351, 10, 11739, 9, 15073, 8, 11098, 4, 590, 63, 2635, 2877, 8, 15352, 30054, 2574, 6, 5, 2214, 7630, 6568, 10, 1472, 9, 657, 1328, 63, 3112, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 53667, 51184, 51279, 51184, 50437, 51147, 52676, 50999, 51009, 55524, 60169, 77104, 50824, 51279, 51184, 51027, 51184, 55846, 51184, 56207, 52030, 50973, 52125, 51028, 52313, 51001, 54098, 50968, 50802, 55524, 68678, 77104, 50824, 51503, 51184, 51176, 51184, 57734, 51184, 62144, 53300, 50973, 52119, 51028, 52674, 51001, 52057, 50968, 52313, 51001, 52175, 51028, 52325, 50973, 50802, 57126, 60169, 77104, 50824, 51966, 51352, 51378, 51352, 62514, 51184, 71241, 57650, 52030, 50989, 64726, 52125, 50989, 67797, 52313, 50989, 69732, 54145, 51966, 50824, 51378, 54098, 50989, 57650, 50802, 55524, 61645, 50803, 51841, 51184, 51315, 51184, 62059, 69881, 50973, 50993, 56248, 64452, 52030, 50916, 57650, 52125, 50916, 64726, 52313, 50916, 57650, 52175, 50916, 64452, 52325, 50916, 57650, 50802, 55524, 60169, 77104, 50824, 51279, 51029, 51027, 51029, 55846, 51184, 56248, 60169, 77104, 53566, 51279, 74294, 53663, 50916, 60169, 70379, 53681, 51279, 74294, 54145, 50916, 60169, 73414, 54098, 51279, 62075, 50802, 62368, 51184, 51378, 51184, 62514, 51184, 71241, 53300, 50965, 52119, 50877, 52674, 50973, 52057, 51028, 52313, 50973, 52175, 50877, 52325, 50965, 50802, 55524, 61645, 50803, 51841, 51009, 51315, 51009, 62059, 69881, 50973, 59101, 50968, 52030, 50973, 53663, 51841, 51009, 51315, 57310, 50965, 52175, 50973, 52325, 50989, 50824, 60963, 51029, 51315, 51029, 62059, 61912, 50965, 52038, 50916, 53566, 51841, 50824, 51315, 53663, 50989, 53681, 51841, 50824, 51315, 54145, 50965, 54098, 51841, 50802, 51315, 50802, 55524, 60169, 77104, 50824, 51279, 51184, 51027, 51184, 55846, 51184, 56207, 53300, 50973, 52119, 51028, 52674, 51001, 52057, 50968, 52313, 51001, 52175, 51028, 52325, 51001, 50802, 55524, 69732, 50824, 51503, 51184, 51176, 51184, 62059, 51184, 57734, 51184, 62144, 62306, 52030, 50965, 67797, 52125, 50973, 52313, 50877, 52175, 50965, 52325, 50989, 50802, 57126, 60169, 77104, 50824, 51966, 51352, 51378, 51352, 62514, 51184, 71241, 57650, 52030, 50989, 64726, 52125, 50989, 57650, 67797, 52313, 50989, 69732, 54145, 51966, 50824, 51378, 54098, 50989, 63217, 52937, 50965, 50803, 57190, 79706, 51009, 51315, 51009, 62059, 61912, 50973, 52038, 50916, 64452, 64726, 61537, 52030, 50916, 68678, 53663, 51841, 51029, 51315, 62001, 50916, 64726, 52175, 50916, 50824, 50989, 54098, 51841, 50824, 51315, 50824, 55524, 68678, 50824, 62059, 61912, 51841, 50824, 51315, 54107, 50916, 60169, 53566, 51841, 50824, 51315, 53663, 50916, 50824, 50989, 53681, 51841, 50824, 51315, 54145, 50916, 68678, 54098, 51841, 50802, 51315, 50802, 60963, 51184, 51315, 51184, 51086, 51184, 50916, 51184, 50965, 51184, 53550, 50823, 54141, 53798, 50798, 55552, 50798, 52884, 69582, 55524, 68678, 77104, 50824, 51279, 51029, 51027, 51029, 55846, 76796, 52968, 50916, 68678, 77104, 55671, 52726, 51279, 74294, 50824, 51873, 52599, 50916, 68678, 77104, 50824, 51873, 59561, 52940, 51279, 74294, 50824, 53094, 52741, 50916, 68678, 77104, 55671, 52884, 51503, 50802, 51176, 50802, 52330, 50808, 55524, 68678, 77104, 50824, 51966, 51029, 51378, 51029, 62514, 51184, 52330, 59561, 53213, 53094, 52450, 50916, 68678, 77104, 55671, 52726, 51966, 50824, 51378, 50824, 51873, 52599, 50916, 68678, 77104, 50824, 51873, 59561, 52940, 51966, 50824, 51378, 50824, 53094, 55082, 50916, 68678, 77104, 55671, 52884, 51966, 50802, 51378, 50802, 53438, 50805, 57542, 62195, 68678, 50824, 51841, 51029, 51315, 51029, 62059, 51184, 52619, 51264, 50832, 52968, 51086, 62195, 68678, 55671, 52726, 51841, 50824, 51315, 53663, 51086, 62195, 60169, 50824, 62059, 76796, 52940, 51841, 50824, 51315, 54145, 51086, 62195, 60169, 55671, 52884, 51841, 50802, 51315, 50802, 57542, 62195, 68678, 50824, 51841, 51029, 51315, 51029, 62059, 51184, 50832, 52968, 51086, 62195, 68678, 55671, 52726, 51841, 50824, 51315, 53663, 51086, 62195, 50824, 50989, 53694, 55466, 52940, 51841, 50824, 51315, 53694, 53798, 51086, 62195, 52299, 52084, 55552, 50798, 52884, 51841, 50802, 51315, 51599, 50811, 55524, 68678, 77104, 50824, 51279, 51029, 51027, 51029, 55846, 76796, 52968, 50916, 68678, 77104, 55671, 52726, 51279, 74294, 50824, 51873, 52599, 50916, 68678, 70379, 50824, 51873, 59561, 52940, 51279, 74294, 50824, 53094, 52741, 50916, 68678, 73414, 55671, 52884, 51503, 50802, 51176, 50802, 52330, 50808, 55524, 68678, 77104, 50824, 51966, 51029, 51378, 51029, 62514, 51184, 52330, 59561, 53213, 53094, 52450, 50916, 68678, 77104, 55671, 52726, 51966, 50824, 51378, 50824, 52083, 50811, 51873, 53263, 52083, 52952, 50916, 68678, 69732, 50824, 52083, 50823, 51873, 59561, 52940, 51966, 50824, 51378, 50824, 52251, 50975, 53094, 55082, 50916, 60169, 55671, 52884, 51966, 50802, 51378, 50802, 52156, 50823, 53438, 50805, 60963, 50824, 51315, 50824, 51086, 62195, 68678, 50824, 62059, 51184, 52251, 51407, 52619, 51264, 50832, 52968, 51086, 51009, 50916, 51009, 50965, 76796, 52726, 51841, 50802, 51315, 52125, 51841, 51009, 51315, 51009, 62059, 76796, 52940, 51086, 60973, 64452, 52175, 51086, 60973, 57650, 54132, 52884, 51086, 60973, 69073, 50802, 52251, 54871, 52083, 50811, 57542, 62195, 68678, 50824, 51841, 51184, 51315, 51184, 62059, 51184, 51789, 51407, 50832, 52968, 51086, 62195, 68678, 55671, 52952, 51086, 62195, 50824, 50989, 53694, 55466, 52940, 50804, 53798, 51086, 62195, 52299, 52084, 55552, 50798, 52884, 52202, 51670, 54871, 52671, 50811, 57346, 62195, 68678, 74294, 51184, 55846, 51184, 52671, 51407, 50832, 52968, 51040, 62195, 68678, 50824, 55625, 51880, 54935, 53195, 60493, 51873, 52599, 51040, 62195, 68678, 50824, 54825, 50803, 51873, 59561, 55092, 53195, 52313, 53094, 53668, 54825, 52175, 51040, 62195, 68678, 55671, 55552, 56267, 61828, 52330, 50808, 57346, 62195, 68678, 50824, 51378, 51184, 53195, 50803, 62514, 51184, 52330, 59561, 55804, 55493, 52244, 55625, 50802, 53094, 52450, 51040, 62195, 68678, 55671, 52726, 55625, 50803, 51873, 53263, 55625, 52057, 51040, 62195, 68678, 50824, 56267, 50802, 51873, 59561, 52940, 56267, 50803, 53094, 50889, 50447, 54825, 58348, 51040, 62195, 68678, 55671, 52884, 56267, 50803, 53438, 51654, 54871, 53195, 51732, 69582, 57542, 62195, 50824, 51315, 51732, 58373, 51009, 55493, 51009, 62059, 51184, 52619, 61113, 52084, 52968, 51086, 62195, 55671, 52952, 51086, 62195, 50824, 54182, 51009, 62059, 67670, 52084, 52768, 51086, 62195, 55671, 50811, 57542, 62195, 50824, 58373, 51009, 62059, 51184, 50832, 52968, 51086, 62195, 55671, 52952, 51086, 62195, 50824, 63293, 62066, 55466, 52940, 50804, 53798, 51086, 62195, 52299, 52084, 55552, 50798, 52884, 61384, 51599, 50811, 57346, 62195, 68678, 74294, 51184, 55846, 51184, 50832, 52968, 51040, 62195, 68678, 55671, 52726, 51873, 53263, 53195, 52057, 51040, 62195, 68678, 50824, 59245, 50802, 51873, 59561, 52940, 56647, 50803, 53094, 53668, 53429, 52175, 51040, 62195, 68678, 55671, 55552, 56267, 52325, 52330, 53848, 56267, 50824, 57346, 62195, 68678, 74294, 51184, 62514, 51184, 52330, 59561, 53213, 54825, 50802, 53094, 52450, 51040, 62195, 68678, 55671, 52726, 54825, 50803, 51873, 53263, 54825, 52057, 51040, 62195, 68678, 50824, 53429, 50802, 51873, 59561, 52940, 56267, 50802, 53094, 55082, 51040, 62195, 68678, 50824, 54825, 54132, 52884, 56267, 50803, 53438, 51654, 54871, 53195, 51732 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 19834, 6, 4246, 10, 13305, 8, 24896, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 20, 6711, 16, 12365, 13, 10, 822, 6, 7630, 14805, 6453, 9, 26545, 6, 11098, 6, 8, 11926, 19, 10, 2842, 9, 9884, 4, 20, 33215, 16739, 9, 163, 428, 406, 6, 12608, 6, 8, 163, 428, 17992, 7, 5, 1374, 13569, 9862, 9, 42, 2214, 12, 16096, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 58526, 51535, 50418, 50956, 51878, 50422, 50965, 51381, 56546, 50915, 50435, 51197, 52691, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 51028, 50915, 50459, 66041, 53975, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 51197, 52691, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 54942, 51312, 51028, 50915, 50459, 66041, 50799, 53664, 51397, 51176, 51535, 50418, 50956, 51878, 50422, 50965, 51381, 56546, 50915, 50435, 53664, 50844, 51197, 52691, 54324, 51448, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 51028, 50915, 50459, 54324, 50844, 51197, 50874, 50799, 54467, 51397, 50900, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 53664, 50844, 51085, 52691, 52756, 51448, 51360, 51535, 50442, 50871, 51878, 50446, 50965, 71320, 50931, 50915, 50459, 52756, 50844, 51040, 50822, 50799, 54324, 51397, 50900, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 59018, 50844, 51085, 52691, 59018, 52169, 50297, 51535, 50442, 51040, 51878, 50444, 59018, 69262, 50965, 75589, 53664, 51233, 50876, 51412, 50459, 54942, 50844, 51234, 50874, 66768, 50799, 54942, 51047, 51197, 51318, 50418, 50956, 52168, 64309, 51680, 60564, 51047, 50430, 51026, 61782, 50997, 60676, 51040, 59124, 61143, 51312, 50799, 53664, 51397, 51176, 51535, 50418, 50956, 51878, 50422, 50965, 51381, 56546, 50915, 50435, 53664, 50822, 51503, 52691, 53200, 51448, 51214, 51535, 50442, 50871, 51878, 67655, 71320, 50973, 50915, 50459, 53200, 50822, 51026, 50822, 50799, 54324, 51397, 50900, 51535, 50418, 50956, 51878, 64309, 51381, 56546, 50915, 50435, 54324, 50822, 51085, 52691, 52756, 51448, 51234, 51535, 50442, 50871, 51878, 76495, 52989, 50965, 60473, 50915, 50459, 52817, 50822, 76339, 50799, 54467, 51115, 51086, 51148, 50418, 50956, 51642, 50422, 50965, 69790, 51001, 57648, 54467, 54137, 52817, 51568, 50302, 52363, 50319, 64328, 59388, 54324, 54323, 52817, 51233, 51234, 64569, 57348, 70358, 70395, 52756, 50822, 50799, 54324, 51047, 51197, 50978, 50418, 51026, 65023, 50997, 53881, 50956, 50905, 79580, 61782, 50906, 54123, 51001, 50981, 50799, 54324, 72225, 51142, 72251, 80260, 50418, 50956, 50907, 64444, 64920, 50422, 50956, 50907, 64444, 51028, 53220, 52756, 51194, 50956, 50907, 64444, 59950, 79471, 50907, 64444, 51028, 63163, 50956, 50907, 64444, 51028, 55270, 54324, 54181, 54324, 51127, 52046, 68925, 51142, 72251, 51028, 70430, 51214, 72889, 50907, 64444, 51028, 62407, 51234, 72889, 50907, 64444, 51028, 53567, 50956, 50907, 64444, 59950, 51197, 71820, 50956, 50907, 64444, 51028, 64479, 50956, 50907, 59950, 63207, 50799, 54324, 65227, 51142, 50965, 51142, 66374, 50418, 50956, 50907, 50965, 50907, 60714, 50422, 50956, 50907, 50965, 50907, 60714, 50425, 52817, 52524, 52756, 51255, 50956, 50907, 50965, 50907, 57947, 79471, 50907, 50965, 50907, 60714, 50434, 50956, 50907, 50965, 50907, 50876, 55270, 54324, 54181, 54324, 51218, 51503, 68925, 51142, 50965, 51142, 64304, 50442, 51085, 72889, 50907, 50965, 50907, 60714, 50446, 51197, 72889, 50907, 50965, 50907, 50876, 53567, 50956, 50907, 50965, 50907, 57947, 51176, 50905, 50454, 50956, 50907, 50965, 50907, 50876, 54622, 54324, 77568, 50965, 50907, 57947, 50956, 51210, 50799, 54467, 51218, 51247, 50874, 50965, 51210, 64041, 51001, 50933, 50418, 51503, 64397, 50907, 65996, 51001, 64560, 51085, 64397, 50912, 67030, 51001, 52580, 50965, 50912, 67030, 72643, 51050, 50892, 50430, 67364, 60714, 51001, 54221, 52817, 73308, 67364, 65559, 50876, 58946, 52756, 51458, 50290, 61858, 51210, 50965, 51210, 50902, 70430, 51120, 62464, 50907, 50965, 50907, 50902, 54478, 54942, 50977, 50446, 51050, 62154, 50984, 79944, 50902, 53567, 52756, 51194, 63227, 79944, 69017, 50997, 50974, 50454, 70795, 50965, 51123, 69017, 50458, 60989, 50871, 51524, 50965, 51524, 50459, 52817, 50854, 50799, 54324, 51127, 51197, 77964, 51806, 50861, 51806, 51001, 51380, 50418, 51026, 51051, 66345, 54325, 51040, 50905, 50430, 57956, 50434, 50956, 54123, 51197, 50978, 50442, 51026, 63251, 50997, 54385, 51040, 50905, 50454, 50916, 65628, 54324, 67074, 50956, 50912, 50799, 54324, 51364, 50956, 51142, 50965, 51142, 73556, 51176, 51148, 50418, 50956, 50907, 50965, 50907, 60714, 50422, 50956, 50907, 50965, 50907, 50876, 53220, 50956, 50907, 50965, 50907, 57947, 79471, 50907, 50965, 50907, 50876, 54150, 54467, 57775, 50956, 50907, 50965, 50907, 50876, 52788, 54467, 51364, 50956, 51142, 50965, 51142, 51001, 51008, 50900, 51244, 50442, 50956, 50907, 50965, 50907, 51001, 62407, 50965, 50907, 67108, 50956, 51210, 59758, 50907, 50965, 50907, 63268, 50454, 77559, 50965, 50907, 50968, 54622, 54467, 67074, 50965, 50907, 57910, 65471, 50799, 54467, 51364, 69119, 50965, 51142, 51028, 51142, 72310, 51040, 51313, 50418, 67558, 50965, 50907, 51028, 50907, 66735, 63714, 50907, 50965, 50907, 51028, 50907, 50931, 52580, 67558, 50965, 50907, 68573, 50430, 67558, 50965, 50907, 50906, 54150, 54942, 57775, 67558, 50965, 50907, 50906, 53269, 54942, 51472, 69119, 50965, 51142, 67695, 50442, 67558, 50965, 50907, 50906, 62407, 67558, 50965, 50907, 50906, 53567, 67558, 50965, 50907, 61801, 50454, 67558, 50965, 50907, 63613, 50458, 50965, 50907, 61801, 68274, 50459, 54942, 50800, 50799, 53664, 51472, 50965, 51142, 66374, 50956, 51148, 50418, 50965, 50907, 60714, 50422, 50965, 50907, 50876, 53220, 50965, 50907, 57947, 50430, 50965, 50907, 60714, 50434, 50965, 50907, 50876, 53720, 53664, 51724, 55667, 51336, 50965, 51142, 80260, 71698, 50442, 50965, 50907, 51028, 62407, 50965, 50907, 51028, 53567, 50965, 50907, 59950, 50454, 50965, 50907, 51028, 64479, 50965, 50907, 59950, 50799, 53200, 51472, 50965, 51210, 50973, 51210, 76884, 50916, 51148, 50418, 50965, 50907, 50973, 50907, 58254, 50422, 50965, 50912, 69550, 50902, 53881, 67364, 64542, 60158, 50430, 67364, 64542, 59139, 50434, 62094, 63009, 50973, 65153, 53200, 51724, 54324, 51472, 50965, 51008, 73556, 70647, 50956, 51047, 50442, 70226, 61524, 51001, 58638, 78675, 59855, 51001, 52843, 78675, 59855, 51001, 68681, 50965, 50844, 60215, 51001, 63569, 50965, 50810, 64341, 59725, 50459, 54324, 50800, 50799, 52756, 51356, 50899, 52530, 50312, 60939, 59351, 50896, 50799, 54942, 51047, 50965, 51244, 50906, 51183, 50956, 53413, 50438, 55667, 51448, 50861, 51749, 51028, 51397, 51197, 51148, 50799, 53664, 51397, 50965, 51749, 50876, 51562, 51176, 77307, 50876, 66985, 51619, 50324, 50995, 62856, 51145, 50876, 51148, 50902, 60934, 50906, 52363, 50319, 53130, 50323, 58262, 50965, 63211, 60473, 60700, 50915, 56229, 51145, 70330, 50973, 75657, 60934, 50965, 57800, 50316, 63684, 50319, 51470, 56279, 68470, 52845, 50315, 52845, 50321, 50932, 55694, 51244, 50965, 51490, 50956, 56235, 50438, 51028, 51244, 51197, 67835, 51490, 77575, 52140, 50965, 52916, 50876, 51592, 52274, 63355, 51619, 50300, 51535, 50418, 50956, 51878, 64309, 55656, 51431, 51233, 50965, 58327, 50915, 50435, 51431, 50822, 51197, 52691, 51641, 51448, 50997, 51535, 50442, 50956, 51878, 67655, 71320, 51028, 50915, 50459, 51641, 50822, 51197, 50874, 50799, 52264, 51397, 50900, 51535, 50418, 50956, 51878, 50422, 50965, 69790, 51001, 50915, 50435, 51431, 50822, 51085, 52691, 51509, 51448, 51360, 51535, 50442, 50871, 51878, 50446, 50965, 71320, 50931 ]

[ 0, 250, 2933, 8, 15352, 30054, 3152, 8, 5175, 2214, 19, 10, 2635, 20889, 9, 7004, 741, 1685, 11, 132, 73, 306, 86, 6543, 4, 20, 6755, 12547, 6, 30587, 8669, 6, 6168, 3540, 6, 38668, 483, 6, 8, 21072, 1045, 41, 9066, 8, 980, 219, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 1349, 1575, 10, 33215, 13931, 9, 211, 6, 381, 6, 83, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50625, 50420, 52117, 52483, 52117, 52605, 53134, 50889, 50799, 61107, 67729, 52117, 50889, 52043, 52450, 52043, 52559, 53134, 50889, 62423, 51623, 51440, 52599, 51660, 52711, 52117, 50805, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 52408, 50889, 51660, 50808, 52043, 50808, 50799, 64451, 51141, 51660, 50808, 52043, 52734, 52408, 50889, 51440, 52450, 51660, 52559, 53638, 50805, 50732, 50276, 51623, 51660, 50808, 51669, 52599, 51660, 50808, 51669, 52711, 52117, 50805, 51660, 50808, 52043, 52741, 52117, 50805, 51660, 50808, 52043, 52643, 53134, 50889, 51660, 50808, 51434, 50808, 50799, 61107, 51141, 51669, 52734, 52117, 50889, 52043, 52450, 52043, 52559, 53134, 50889, 62423, 51623, 51440, 52599, 51660, 52711, 52117, 50805, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 52408, 50889, 51660, 50808, 52043, 50808, 50799, 64451, 51141, 51660, 50808, 52043, 52734, 52408, 50889, 51440, 52450, 51660, 52559, 58203, 51141, 53638, 51141, 51660, 50808, 51669, 52599, 51660, 50808, 51669, 52711, 51660, 50808, 52043, 52741, 50732, 50275, 50889, 51660, 50808, 52043, 52643, 51660, 50808, 51434, 50808, 50799, 69291, 75121, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 69291, 75121, 52043, 52450, 52043, 52559, 69291, 75121, 51440, 50808, 52371, 51623, 51883, 51623, 51251, 51623, 51301, 51623, 51113, 77787, 69291, 75121, 51660, 52711, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 51660, 50808, 52043, 50808, 50799, 69291, 75121, 51660, 50808, 52043, 50808, 51699, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 69291, 75121, 51440, 52450, 51660, 52559, 69291, 75121, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 77787, 69291, 75121, 51660, 50808, 51669, 52711, 51660, 50808, 52043, 52741, 51660, 50808, 52043, 52643, 51660, 50808, 51434, 50808, 50799, 69291, 75121, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 69291, 75121, 52043, 52450, 52043, 52559, 69291, 75121, 51440, 50808, 51883, 51623, 51299, 51623, 51154, 51623, 51113, 77787, 69291, 75121, 51660, 52711, 51660, 50808, 51669, 52741, 51660, 50808, 51669, 52643, 51660, 50808, 52043, 50808, 50799, 69291, 75121, 51660, 50808, 52043, 50808, 52143, 51141, 52830, 51141, 51699, 51141, 51299, 51141, 51301, 67729, 69291, 75121, 51440, 52450, 51660, 52559, 69291, 75121, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 51623, 51088, 77787, 69291, 75121, 51660, 50808, 51669, 52711, 51660, 50808, 52043, 52741, 51660, 50808, 52043, 52643, 51660, 50808, 51434, 50808, 53285, 51141, 53638, 57394, 60105, 50889, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 52043, 50808, 51694, 52472, 50889, 52043, 52559, 50927, 51623, 52117, 57394, 50805, 51440, 50808, 52371, 51623, 51883, 51623, 51251, 51623, 51301, 51623, 51113, 77787, 50852, 50889, 51660, 50808, 52129, 50805, 51660, 50808, 51669, 50808, 51899, 55633, 50889, 51660, 50808, 51669, 52643, 52408, 50805, 51660, 50808, 52043, 50808, 52534, 51141, 52117, 59103, 55633, 50889, 51660, 50808, 52043, 50808, 51699, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 51440, 53184, 53134, 51116, 51694, 52472, 50889, 51660, 52559, 51443, 51623, 53638, 58689, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 77787, 50852, 50889, 51660, 50808, 51669, 52711, 53638, 58689, 51660, 50808, 52043, 52741, 52276, 71177, 50889, 51660, 50808, 52043, 52643, 53638, 51141, 51660, 50808, 51434, 50808, 53285, 57394, 55633, 50889, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51113, 67729, 52043, 52450, 52276, 64588, 50889, 52043, 52559, 50927, 51623, 52412, 53769, 50805, 51440, 50808, 51883, 51623, 51299, 51623, 51154, 51623, 51113, 77787, 50852, 50889, 51660, 52711, 52276, 58689, 51660, 50808, 51669, 52741, 53638, 71177, 50889, 51660, 50808, 51669, 52643, 52987, 51077, 51660, 50808, 52043, 50808, 52534, 57394, 55633, 50889, 51660, 50808, 52043, 50808, 52143, 51141, 52830, 51141, 51699, 51141, 51299, 51141, 51301, 67729, 51440, 50808, 51694, 52472, 50889, 51660, 52559, 51443, 51623, 53638, 53769, 50805, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 51623, 51088, 77787, 50852, 50889, 51660, 50808, 51669, 50808, 52129, 50805, 51660, 50808, 52043, 50808, 51899, 52472, 50889, 51660, 50808, 52043, 52643, 50816, 50808, 51660, 50808, 51434, 50808, 53206, 50808, 50799, 69291, 51069, 51141, 53638, 57394, 60105, 50889, 51669, 50808, 51883, 51141, 51299, 51141, 51301, 51141, 51284, 53090, 50420, 69291, 52043, 50808, 51694, 52472, 50889, 52043, 52559, 69291, 50927, 51623, 52117, 57394, 50805, 51440, 50808, 52371, 51623, 51883, 51623, 51251, 51623, 51301, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 50808, 52129, 50805, 51660, 50808, 51669, 50808, 51899, 55633, 50889, 51660, 50808, 51669, 52643, 52408, 50805, 51660, 50808, 52043, 50808, 50799, 69291, 50964, 51141, 52117, 59103, 55633, 50889, 51660, 50808, 52043, 50808, 51699, 51141, 51299, 51141, 51301, 67729, 69291, 51440, 53184, 52452, 51116, 51694, 52472, 50889, 51660, 52559, 69291, 51443, 51623, 53134, 58689, 51660, 50808, 51669, 50808, 52371, 51623, 51699, 51623, 52065, 51623, 51251, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 50808, 51669, 52711, 52117, 58689, 51660, 50808, 52043, 52741, 53134, 71177, 50889, 51660, 50808, 52043, 52643, 52408, 50889, 51660, 50808, 51434, 50808, 50799, 69291, 51069, 57394, 55633, 50889, 51669, 50808, 51113, 51141, 51093, 51141, 51266, 51141, 51304, 67729, 69291, 52117, 50805, 52043, 52450, 53134, 64588, 50889, 52043, 52559, 69291, 50927, 51623, 52408, 53769, 50805, 51440, 50808, 52371, 51623, 51113, 51623, 51107, 51623, 51266, 51623, 51384, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 52711, 52117, 58689, 51660, 50808, 51669, 52741, 53134, 71177, 50889, 51660, 50808, 51669, 52643, 52408, 50889, 51660, 50808, 52043, 50808, 50799, 69291, 50964, 57394, 55633, 50889, 51660, 50808, 52043, 50808, 52143, 51141, 52830, 51141, 51088, 51264, 51266, 51141, 51266, 51141, 51733, 67729, 69291, 52117, 50805, 51440, 52450, 53134, 64588, 50889, 51660, 52559, 69291, 51443, 51623, 52408, 76270, 50805, 51660, 50808, 51669, 50808, 52776, 51623, 52371, 51623, 51182, 51623, 51384, 51623, 51926, 77787, 55281, 54633, 51046, 52472, 50889, 51660, 50808, 51669, 52711, 50816, 50805, 51660, 50808, 52043, 52741, 55281, 54633, 51046, 64588, 50889, 51660, 50808, 52043, 52643, 54737, 55427, 51046, 52704, 50808, 51660, 50808, 51434, 53848, 54737, 55427, 51046, 52704, 50808, 60652, 51141, 51278, 51141, 51046, 51141, 51288, 51141, 51323, 51141, 51069, 57394, 69672, 51669, 50808, 51113, 51141, 51093, 51141, 51266, 51141, 51733, 51141, 52906, 50805, 52043, 50808, 51694, 56151, 52043, 52559, 51211, 51077, 51155, 51623, 51046, 51623, 51075, 51623, 51245, 51077, 50927, 76270, 56151, 51440, 50808, 51113, 51623, 51107, 51623, 51266, 51623, 51304, 77787, 50852, 50805, 51660, 50808, 52129, 56151, 51660, 50808, 51669, 50808, 51899, 56151, 51660, 50808, 51669, 52643, 56481, 75358, 52408, 56151, 51660, 50808, 52043, 53848, 51288, 50844, 51323, 50844, 65409, 51141, 51063, 51141, 51143, 51141, 51219, 51141, 51404, 51141, 50964, 51141 ]

[ 0, 250, 182, 765, 37903, 9, 5175, 930, 19, 10, 822, 12, 3341, 5466, 6, 4246, 10, 19448, 8, 15352, 30054, 16464, 6, 278, 11, 163, 3694, 19, 10, 7212, 20889, 8, 3185, 30, 10, 2007, 12638, 1451, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50798, 62262, 62262, 62262, 62262, 62262, 62262, 58094, 51179, 51759, 52586, 76275, 55498, 50415, 50804, 62348, 53796, 51695, 54726, 53708, 53708, 76275, 51759, 55498, 63311, 60642, 50837, 54519, 57282, 55536, 55536, 55536, 54835, 56533, 62653, 56450, 56450, 56533, 56533, 56533, 54946, 54946, 55630, 55630, 54640, 53816, 53833, 54119, 54357, 50883, 57493, 55536, 59500, 59500, 59500, 56450, 56450, 56450, 56533, 57526, 57526, 53434, 54119, 59976, 50419, 50804, 55536, 54835, 54499, 52538, 59500, 56450, 53023, 50804, 55018, 54617, 53784, 53966, 53966, 53966, 54131, 54212, 52572, 53683, 54382, 51239, 59043, 50804, 54839, 54528, 54518, 54617, 54382, 54946, 77608, 53951, 55536, 54839, 53802, 54528, 55018, 53396, 54946, 56061, 50835, 53327, 55536, 55536, 55536, 54835, 54835, 56450, 62653, 62653, 56533, 56533, 56533, 56533, 50863, 57453, 57282, 54835, 54835, 54538, 56533, 59500, 56450, 56533, 54946, 54946, 54946, 54946, 55164, 50835, 57363, 52465, 51539, 51464, 50828, 51302, 56870, 51139, 51833, 51750, 73266, 51467, 51187, 51187, 51044, 51041, 57901, 50834, 59493, 56870, 53802, 54518, 54866, 53989, 54013, 50804, 56870, 57282, 55536, 55536, 55536, 53802, 53802, 53802, 55018, 53989, 61591, 61591, 60818, 60818, 60818, 60818, 62653, 53754, 53683, 53683, 54473, 56561, 68460, 51320, 51833, 51750, 73266, 53063, 51320, 51833, 51833, 51437, 51187, 51135, 51041, 51130, 53732, 55498, 50433, 50816, 56502, 56446, 50798, 52220, 51695, 54487, 50798, 62262, 62262, 62262, 62262, 62262, 51463, 56533, 56454, 50834, 55935, 54563, 56359, 50804, 52348, 52896, 50804, 53966, 51044, 51916, 51916, 51916, 51833, 51833, 51833, 55147, 57512, 50804, 54087, 52465, 52223, 50837, 60409, 56870, 54538, 56061, 56450, 56450, 50820, 53012, 57282, 55536, 55536, 54538, 54839, 54528, 53784, 54131, 54192, 61591, 60818, 60818, 62653, 62653, 59500, 54382, 58888, 50834, 55258, 54538, 54946, 68211, 51320, 51833, 51833, 51750, 51750, 51464, 64849, 51833, 51464, 51437, 51437, 51437, 51467, 51406, 51239, 52942, 64734, 55094, 60260, 62262, 75767, 62653, 53528, 50798, 62262, 62262, 75767, 59361, 55094, 57048, 57282, 54617, 53893, 52050, 60818, 51239, 65529, 55019, 50982, 51382, 56870, 55018, 52572, 54192, 60818, 60818, 62653, 59500, 51041, 57979, 68002, 76213, 50388, 51985, 57167, 56721, 51326, 50817, 57857, 55536, 53412, 50825, 53061, 74556, 63841, 55255, 52885, 57583, 50804, 53966, 51392, 51833, 53217, 50804, 63841, 70522, 76213, 50817, 54124, 61591, 50870, 52198, 54946, 60818, 56772, 50798, 55498, 51528, 52220, 58094, 58487, 50852, 55498, 50416, 50816, 62716, 50816, 56450, 56454, 60461, 50816, 62653, 58810, 53944, 61132, 50804, 53500, 56450, 53738, 50804, 54617, 53784, 51467, 59891, 51468, 53951, 54839, 53831, 54951, 50816, 59500, 56450, 56450, 60548, 50816, 59500, 60931, 50816, 52348, 50961, 51694, 51467, 56973, 50791, 50817, 59493, 59500, 54946, 50884, 54321, 56870, 54844, 62653, 62171, 51287, 50797, 80029, 52223, 51750, 56565, 50798, 53785, 50798, 62262, 57776, 57974, 51248, 50797, 58751, 51842, 60409, 53500, 50367, 51367, 50829, 53012, 62348, 56870, 52538, 62653, 54946, 58829, 58005, 51180, 51833, 51406, 50883, 60260, 52220, 53851, 55094, 50448, 55094, 57048, 60818, 53889, 50961, 51382, 57282, 53893, 52050, 76298, 52885, 50829, 51453, 50837, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 16, 10, 20902, 15229, 14, 18, 686, 7, 5258, 110, 11656, 4, 590, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 3185, 30, 5, 3222, 5785, 9, 2382, 3459, 8, 21979, 29589, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 3459, 9590, 4, 20, 2370, 21305, 3639, 10, 2216, 15352, 30054, 2842, 7, 5, 9804, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 230, 6, 381, 6, 8, 1918, 6, 8216, 7, 63, 14899, 8, 33558, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 68266, 64691, 51083, 54278, 51023, 69558, 51083, 54014, 51020, 75115, 51083, 54356, 51023, 77948, 78579, 50799, 51061, 51109, 50420, 51083, 54278, 51023, 69558, 51083, 54014, 51089, 75115, 51083, 54356, 51282, 54752, 78579, 68266, 64691, 51083, 54278, 51023, 69558, 51083, 54014, 51020, 75115, 51083, 54356, 51023, 77948, 78579, 50799, 51061, 51109, 50420, 51083, 54278, 51023, 69558, 51083, 54014, 51089, 75115, 51083, 54356, 51282, 54752, 78579, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 62655, 51115, 51763, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 60285, 51115, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 62655, 51025, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 50866, 51020, 51109, 51439, 75115, 62655, 51025, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 65166, 51109, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 62655, 51025, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 58267, 51115, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 62655, 51115, 51763, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 60285, 51115, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 51115, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 62655, 51025, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 65166, 50866, 51020, 51109, 51439, 75115, 62655, 51025, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 65166, 51109, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 62655, 51025, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 58267, 51115, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 67544, 51025, 52124, 51151, 50946, 64691, 51282, 57588, 54278, 50720, 50301, 50866, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51020, 51109, 51439, 75115, 50720, 50301, 51115, 51282, 57588, 54356, 51023, 51109, 51649, 77948, 51282, 57588, 50866, 50799, 50720, 50301, 50866, 51061, 51109, 51257, 51109, 50420, 50720, 50301, 51025, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51089, 51109, 51149, 75115, 50720, 50301, 51025, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 50799, 67544, 51025, 52124, 51151, 50946, 64691, 51282, 57588, 54278, 50720, 50301, 50866, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51020, 51109, 51439, 75115, 50720, 50301, 51025, 51282, 57588, 54356, 51023, 51109, 51649, 77948, 50720, 50301, 51109, 51282, 57588, 50866, 50799, 51061, 51109, 51257, 51109, 50420, 50720, 50301, 51025, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 50720, 50301, 51025, 51282, 57588, 54014, 51089, 51109, 51149, 75115, 78531, 50866, 78579, 51007, 54356, 50720, 50301, 51025, 51282, 57588, 54752, 51282, 57588, 50866, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 54752, 78579, 69776, 68266, 51151, 50848, 64691, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 62655, 50866, 51282, 57588, 54752, 60285, 51717, 78579, 69776, 66844, 51151, 50872, 51151, 50945, 53295, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866, 50909, 54014, 51020, 51109, 51439, 75115, 51118, 50866, 50909, 54356, 51023, 51109, 51649, 77948, 51118, 50866, 60395, 50799, 51061, 51109, 51257, 51109, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866, 50909, 54014, 51089, 51109, 51149, 75115, 51118, 50866, 50909, 54356, 51282, 57588, 54752, 65166, 53295, 51118, 50866, 60395, 50799, 51815, 51151, 50868, 51151, 51069, 53295, 50420, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 51282, 57588, 54014, 51020, 51109, 51439, 75115, 51282, 57588, 54356, 51023, 51109, 51649, 77948, 51282, 57588, 50866, 50799, 51061, 51109, 51257, 51109, 50420, 51282, 57588, 54278, 51023, 51109, 51649, 69558, 51282, 57588, 54014, 51089, 51109, 51149, 75115, 51282, 57588, 54356, 62655, 50866, 51282, 57588, 54752, 58267, 51717, 51061, 50866, 51257, 50866, 68266, 51151, 50848, 51151, 50927, 52644, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 51282, 57588, 50866, 51011, 58761, 78579, 69776, 68266, 51151, 50848, 51151, 50927, 52644, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51020, 51109, 51439, 75115, 78579, 51007, 54356, 51023, 51109, 51649, 77948, 78579, 69776, 50799, 51061, 51109, 51257, 51109, 50420, 78579, 51007, 54278, 51023, 51109, 51649, 69558, 78579, 51007, 54014, 51089, 51109, 51149, 75115, 78579, 51007, 54356, 62655, 50866, 51282, 57588, 50866, 51011, 54752, 60285, 51717, 78579, 69776, 50953, 50866, 66844, 51151, 50872, 51151, 50945, 53295, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866, 50909, 54014, 51020, 51109, 51439, 75115, 51118, 50866, 50909, 54356, 51023, 51109, 51649, 77948, 51118, 50866, 60395, 50799, 51061, 51109, 51257, 51109, 50420, 51118, 50866, 50909, 54278, 51023, 51109, 51649, 69558, 51118, 50866 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2125, 6, 42, 765, 2214, 1575, 10, 18558, 6, 13305, 6, 38668, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 428, 73, 347, 6, 230, 6, 1918, 6, 3676, 406, 6, 8, 272, 3639, 7, 63, 980, 219, 6, 19448, 5466, 326, 25963, 19, 10, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 51607, 52256, 52327, 67366, 54225, 64936, 52807, 51134, 51039, 50827, 51302, 54225, 52739, 51607, 51253, 50801, 54225, 50827, 51658, 54225, 53086, 52327, 66741, 52989, 52807, 64210, 54225, 50827, 51453, 61243, 51773, 51330, 50799, 52603, 68108, 54225, 64936, 52257, 51097, 51039, 52580, 52807, 56873, 54225, 52739, 52257, 51377, 50801, 54225, 50827, 51658, 54225, 53086, 52327, 60596, 52989, 52603, 54172, 54225, 50827, 51453, 61243, 51607, 51961, 50799, 52327, 64286, 54225, 64936, 52807, 51115, 51039, 50827, 51302, 54225, 52739, 51607, 51411, 50801, 54225, 50827, 51658, 54225, 53086, 52257, 52839, 52989, 52807, 51907, 54225, 50827, 51453, 61243, 52603, 51391, 50799, 52257, 67839, 54225, 64936, 54258, 51134, 51039, 50827, 51302, 54225, 52739, 52257, 59250, 54225, 50827, 51658, 54225, 53086, 52327, 60596, 52989, 52603, 50833, 51416, 55506, 54225, 50827, 51453, 61243, 51607, 52256, 50799, 52327, 51218, 51132, 51538, 50801, 54225, 64936, 52807, 51351, 51039, 50827, 51302, 54225, 52739, 51607, 67487, 54225, 50827, 51658, 54225, 53086, 52257, 76193, 52989, 52807, 50808, 51132, 58006, 54225, 50827, 51453, 61243, 51773, 51108, 50799, 52603, 51097, 52584, 51933, 50801, 54225, 64936, 52257, 50981, 51039, 52580, 52807, 53119, 54225, 52739, 52257, 70298, 54225, 50827, 51658, 54225, 53086, 52327, 62806, 52989, 52603, 50833, 52584, 58006, 54225, 50827, 51453, 50827, 50799, 51773, 51318, 51669, 51310, 52327, 51189, 51526, 69613, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 51115, 51607, 51115, 52043, 51141, 51349, 67607, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51434, 50981, 51773, 50981, 51669, 50915, 51137, 78275, 54225, 50827, 51453, 50827, 72721, 51945, 51440, 51945, 51607, 51714, 51132, 53435, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 50801, 54225, 50827, 51658, 54225, 50827, 51180, 50827, 51382, 54225, 50827, 51453, 61243, 51515, 51318, 73471, 51318, 51132, 51933, 50801, 54225, 64936, 51607, 51637, 50420, 52792, 56022, 52580, 53755, 57978, 54225, 52739, 51515, 51204, 54102, 51486, 50801, 54225, 50827, 51658, 54225, 53086, 51440, 72705, 52989, 51607, 50915, 51132, 55506, 54225, 50827, 51453, 61243, 51434, 51310, 50799, 51773, 51318, 52584, 51896, 50801, 54225, 64936, 52603, 71215, 52792, 54260, 52580, 53755, 58224, 54225, 52739, 51773, 50943, 54102, 51675, 50801, 54225, 50827, 51658, 54225, 53086, 51434, 54068, 52989, 51773, 51157, 52584, 52496, 54225, 50827, 51453, 61243, 51773, 51318, 50799, 52603, 51189, 65386, 51204, 51132, 71112, 54225, 64936, 52257, 50995, 51039, 50827, 51302, 54225, 52739, 51773, 50915, 52603, 51003, 52257, 50981, 55810, 63524, 54225, 50827, 51658, 54225, 53086, 52327, 54068, 52989, 52603, 50889, 54102, 51134, 51132, 56946, 54225, 50827, 51453, 50827, 73471, 51115, 51607, 51115, 52327, 51204, 52792, 51359, 52584, 51896, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51607, 64286, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51440, 50889, 52584, 58668, 54225, 50827, 51453, 61243, 51515, 51115, 73471, 51295, 51607, 51419, 52547, 52208, 51132, 71377, 54225, 53004, 52792, 53710, 52580, 53755, 58224, 54225, 52739, 51515, 51016, 54102, 51422, 50801, 54225, 50827, 51658, 54225, 53086, 51440, 66741, 52989, 51607, 50915, 52547, 51016, 51132, 56946, 54225, 50827, 51453, 61243, 51434, 51477, 50799, 51773, 51310, 53034, 51264, 52584, 51623, 50801, 54225, 64936, 52603, 51241, 50420, 52792, 59218, 52580, 53755, 58224, 54225, 52739, 51773, 50914, 54102, 57130, 54225, 50827, 51658, 54225, 53086, 51434, 50873, 55810, 54260, 52989, 51773, 51159, 54102, 51221, 53034, 50889, 52584, 56946, 54225, 50827, 51453, 61243, 51773, 50912, 52603, 51121, 50799, 52257, 51025, 65386, 51364, 52471, 51264, 51132, 51977, 50801, 54225, 53004, 51773, 76193, 52580, 52603, 60344, 54225, 52739, 52257, 50943, 55810, 63524, 54225, 50827, 51658, 54225, 53086, 52327, 52201, 52989, 52603, 50943, 54102, 51159, 52471, 50889, 51132, 59165, 54225, 50827, 51453, 61243, 51440, 51318, 79053, 51115, 52327, 51204, 63001, 51036, 52547, 53241, 52584, 51941, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 52327, 61883, 54225, 52788, 51515, 61413, 54225, 53086, 51440, 54042, 52989, 52327, 51016, 52584, 54581, 54225, 53176, 52471, 50795, 52474, 54260, 50827, 50799, 52327, 51191, 51440, 51637, 51669, 51318, 63001, 51585, 53051, 52379, 51684, 67607, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 50889, 51349, 51496, 50801, 54225, 50827, 51658, 54225, 53086, 51669, 76193, 52989, 52327, 50807, 63001, 51054, 53051, 51054, 51684, 56946, 54225, 50827, 51453, 61243, 51440, 55812, 79053, 51318, 52043, 51189, 58669, 51346, 52471, 51655, 51349, 52311, 50801, 54225, 50827, 51039, 52580, 63001, 53888, 54225, 52739, 52043, 50807, 58669, 59250, 54225, 50827, 51658, 54225, 53086, 51669, 51242, 55810, 57837, 52989, 51607, 50889, 54102, 51189, 52471, 51016, 51349, 56780, 54225, 53176, 51526, 55271, 50827, 76056, 51115, 51607, 51115, 52043, 51218, 52471, 51469, 51416, 67839, 54225, 53004, 58669, 60257, 52580, 63001, 56780, 54225, 52739, 52043, 50943, 58669, 50914, 51416, 68393, 54225, 50827, 51658, 54225, 53086, 51669, 50838, 55810, 54042, 52989, 51607, 50915, 54102, 51267, 52471, 51013, 51416, 69362, 54225, 50827, 51453, 50827, 76056, 51115, 51808, 51295, 51669, 51310, 55810, 51991, 52547, 54055, 51137, 51541, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51434, 51204, 51137, 51541, 50801, 54225, 50827, 51658, 54225, 53086, 51808, 52839, 52989, 51434, 50914, 51808, 51108, 51669, 51003, 51137, 52420, 54225, 53176, 58669, 50830, 52471, 50806, 51132, 53734, 50827, 73471, 51295, 51669, 51115, 52327, 51141, 63001, 51933, 53051, 52208, 51684, 68393, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 50942, 51669, 50915, 52327, 51346, 51349, 67607, 54225, 50827, 51658, 54225, 53086, 51440, 52839, 52989, 51440, 51003, 51669, 50915, 52327, 50889, 63001, 51227, 53051, 51090, 51684, 59165, 54225, 50827, 51453, 61243, 51440, 51318, 79053, 51295, 52043, 51141, 58669, 51227, 52471, 51696, 51416, 61986, 54225, 50827, 51039, 52580, 63001, 51626, 54225, 52739, 51440, 50925, 51607, 50914, 52043, 50807, 58669, 50889, 51416, 70910, 54225, 50827, 51658, 54225, 53086, 51440, 50849, 55810, 53417, 52989, 51440, 50914, 51607, 50914, 52043, 50807, 54102, 51095, 52471, 50896, 51416, 67043, 54225, 50827, 51453, 50827, 50799, 51773, 51218, 51669, 51141, 52327, 51343, 63001, 51141, 53909, 51343, 51526, 51541, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 51440, 51218, 51607, 51218, 52043, 51364, 58669, 51274, 53051, 51496, 51349, 75759, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51515, 50943, 51773, 50981, 51669, 51003, 55810, 51016, 52471, 50896, 51137, 56942, 54225, 50827, 51453, 50827, 72721, 51945, 51440, 51945, 51607, 51714, 54102, 51605, 52547, 52379, 51132, 51933, 50801, 54225, 50827, 51039, 50827, 51302, 54225, 52739, 50801, 54225, 50827, 51658, 54225, 50827, 51180, 52989, 51132, 60503, 54225, 50827, 51453, 61243, 51515, 51318, 73471, 51318, 51716, 51151, 52547, 52208, 52584, 51538, 50801, 54225, 64936, 51607, 51637, 50420, 52792, 56022, 52580, 53755, 56873, 54225, 52739, 51515, 51204, 54102, 51692, 50801, 54225, 50827 ]

[ 0, 250, 2635, 12, 20764, 3495, 1011, 625, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 8, 3459, 8669, 4, 20, 2214, 7630, 6568, 6453, 9, 657, 8, 26545, 149, 63, 15352, 30054, 15229, 4, 85, 11498, 10, 204, 73, 306, 86, 6543, 8, 16, 278, 11, 5, 762, 9, 381, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 119, 406, 6, 3676, 1176, 406, 6, 163, 406, 6, 8, 3676, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 54734, 51417, 50418, 50951, 51033, 50422, 51147, 58292, 74104, 50900, 70022, 59428, 61915, 50889, 50430, 51062, 75348, 51146, 54459, 51430, 50895, 53667, 51141, 50439, 51339, 50911, 50446, 51430, 58181, 51339, 51496, 62291, 51100, 50861, 59460, 51090, 50458, 51279, 51014, 51040, 50921, 54206, 52297, 50290, 51661, 50418, 50931, 62991, 51114, 55889, 71049, 50899, 59428, 55890, 56793, 50896, 50430, 51081, 56080, 51146, 55395, 51430, 70643, 52297, 50300, 51013, 50439, 51147, 51177, 51339, 51189, 50446, 50931, 55441, 51176, 64763, 60241, 62202, 60939, 51013, 50458, 51147, 50833, 51220, 50910, 54960, 51177, 51027, 70660, 58134, 60015, 51734, 50325, 51141, 51062, 51141, 68225, 50896, 53523, 51095, 50899, 59428, 59460, 50889, 50430, 50902, 56080, 64566, 50931, 59646, 51147, 51519, 50293, 51346, 50956, 51346, 51086, 59428, 69136, 68994, 50914, 50446, 50931, 55758, 51085, 72893, 64815, 63925, 60597, 51003, 50451, 50951, 50889, 56229, 51124, 50877, 51159, 51050, 65065, 60241, 51003, 68225, 53244, 51360, 51110, 51086, 51178, 72302, 50906, 51110, 51001, 51215, 50434, 51085, 51204, 50997, 51204, 50916, 51191, 50876, 51091, 50877, 51318, 68121, 53484, 50861, 51110, 52206, 76195, 51807, 50302, 51619, 50305, 72272, 51003, 50458, 75729, 54206, 65480, 63925, 60015, 51608, 50297, 51183, 50422, 51451, 50925, 53523, 74669, 58104, 51157, 50877, 60559, 51003, 51229, 50897, 50431, 51229, 52262, 51256, 50897, 55898, 59782, 58657, 51351, 51085, 51148, 50997, 51077, 50441, 51209, 51115, 50446, 50931, 53484, 51147, 50961, 50900, 68368, 50889, 50451, 76605, 50454, 51081, 50948, 50458, 75660, 53975, 65788, 57631, 59460, 51807, 50325, 51364, 51050, 51291, 68225, 51204, 51451, 53049, 50900, 51060, 50916, 51060, 50861, 51100, 51229, 59545, 51674, 68484, 51229, 57083, 50871, 51091, 50906, 51204, 51040, 51391, 50861, 51294, 50437, 51408, 56057, 51234, 50918, 50442, 51334, 50995, 50446, 51028, 56812, 50931, 51427, 51040, 58134, 55890, 72341, 50889, 50454, 51062, 51192, 50458, 51081, 73056, 70597, 53975, 61581, 62931, 51191, 50877, 51446, 51050, 51145, 50415, 50999, 51294, 68225, 51362, 51451, 50942, 53523, 70022, 57055, 61857, 51229, 54372, 51229, 57775, 50999, 51157, 51062, 51073, 55898, 75842, 51159, 50997, 51103, 51256, 50925, 50443, 51209, 51318, 50446, 51146, 50807, 51339, 55082, 50899, 58532, 51003, 50458, 51081, 51033, 51146, 50940, 62856, 70934, 51800, 50301, 51127, 77839, 72683, 50415, 50999, 51158, 51062, 51090, 50421, 51147, 61359, 74104, 50425, 51147, 52905, 50999, 51215, 50876, 51013, 50427, 51062, 50967, 50433, 51147, 60085, 50999, 75339, 51062, 50940, 57019, 51048, 51147, 51157, 51176, 68292, 50889, 50439, 51220, 51073, 73227, 51757, 51026, 51267, 50916, 66562, 50981, 50451, 50951, 51095, 51081, 50991, 50458, 51147, 50952, 50968, 50938, 53975, 57055, 52297, 50297, 51127, 50877, 67481, 79500, 50999, 51238, 50422, 51451, 55754, 50876, 51016, 53523, 70022, 57055, 51013, 50427, 51229, 55658, 51256, 62225, 51229, 50889, 50434, 50931, 54930, 50916, 60597, 52297, 50292, 51127, 50997, 72025, 51145, 50439, 51147, 51116, 50443, 51674, 51241, 50447, 50999, 58631, 50916, 50889, 50451, 51081, 51238, 50906, 50889, 50458, 51220, 50911, 53975, 51157, 50877, 72155, 51800, 50297, 51047, 76514, 50415, 51062, 51238, 50420, 51451, 55797, 51339, 51048, 53523, 59153, 70866, 50889, 51229, 52765, 51674, 68484, 51229, 63116, 51408, 53415, 50997, 51055, 51040, 57055, 58657, 51807, 50290, 51077, 50440, 51590, 54735, 51334, 50937, 73227, 51030, 50447, 51408, 51351, 64057, 51267, 50871, 51312, 50861, 51159, 51040, 51097, 50451, 51028, 50924, 50455, 51062, 67074, 69955, 57289, 71807, 65480, 58657, 57543, 73273, 51800, 50297, 51562, 50415, 50999, 51227, 68225, 50896, 53523, 51060, 50899, 51100, 50877, 51110, 50871, 50991, 50427, 51229, 70328, 51229, 66855, 70427, 51114, 50897, 51256, 58450, 50997, 66533, 58657, 73024, 51364, 51085, 51103, 50900, 51518, 50439, 51547, 68167, 51209, 51417, 64057, 51127, 50956, 51103, 65218, 50458, 51146, 50859, 51787, 50910, 76953, 51346, 51487, 51346, 52206, 51103, 50422, 50951, 51215, 53337, 72225, 57631, 62542, 50943, 50430, 50951, 62887, 51405, 51710, 50335, 58818, 51146, 51442, 50333, 78171, 63925, 61915, 60763, 51800, 50285, 51103, 50446, 50931, 69323, 51062, 50991, 51405, 51255, 50956, 58532, 61915, 60763, 50943, 50458, 51399, 51710, 50325, 50893, 54206, 51734, 50330, 51091, 51234, 51218, 51050, 51218, 51081, 50983, 50422, 51256, 52710, 50997, 62525, 61581, 50889, 50430, 50931, 50873, 51390, 77121, 51114, 50911, 51408, 61169, 51390, 51724, 50951, 51346, 50956, 51800, 50292, 51141, 51026, 51141, 50441, 51590, 60604, 51334, 50914, 50446, 51081, 69323, 51405, 51290, 50997, 70156, 62930, 58532, 51013, 50458, 51487, 50911, 68818, 51215, 50871, 78389, 51115, 51120, 51397, 50422, 52052, 51141, 50423, 51487, 51343, 53337, 60241, 57631, 60006, 50915, 50434, 51390, 55782, 51050, 63120, 51408, 59948, 51315, 53894, 51197, 51047, 51040, 51336, 50871, 51356, 50861, 51336, 50876, 51336, 50439, 51590, 64524, 51334, 70955, 52046, 50889, 56310, 65117, 64291, 57543, 51134, 51247, 51218, 51085, 51295, 50419, 51451, 59432, 51451, 50854, 53523, 51267, 73343, 51116, 50899, 50915, 51229, 50914, 50430, 50877, 50893, 50434, 50968, 50897, 50951, 56983, 50931, 51116, 50876, 51345, 50900, 60268, 68186, 51413, 50442, 51408, 61094, 50902, 51191, 50951, 51191, 51062, 51351, 51334, 62955, 51590, 54185, 50900, 64763, 61915, 51097, 50451, 51334, 51203, 50458, 50876, 51362, 50461, 50902, 50818, 57923, 70787, 51100, 76252, 50900, 72272, 59460, 51535, 51027, 51353, 50422, 50968, 50925, 50951, 57499, 50902, 51111, 50900, 61861, 50915, 50427, 50931, 51060, 65281, 65452, 50902, 53418, 51001, 50884, 50968, 51215, 50951, 51095, 50900, 65480, 58421, 51097, 50446, 69915, 50951, 58460, 50931, 51377, 50900, 62649, 60015, 80245, 50902, 51048, 50455, 51451, 56054, 51451, 50800, 55881, 79438, 61581, 63925, 70866, 51077, 50876, 78034, 51229, 54243, 51120, 60045, 60817, 73450, 50889, 50430, 51408, 58877, 51334, 53894, 51214, 51741, 50303, 65480, 58421, 61581, 51127, 51229, 51060, 50445, 51256, 69204, 52046, 51423, 51040, 63925, 62542, 50943, 50459, 51966, 50910, 55435, 51312, 50899, 51312, 51214, 60241, 58419, 52910, 51279, 65065, 60817, 58339, 58835, 50889, 50434, 51451, 56057, 51234, 51110, 50899, 60241, 60015, 73125, 51229, 76788, 51324, 50910, 51229, 50942, 56222, 51255, 51360, 51619, 50305, 59782, 64292, 50915, 50455, 51256, 63181, 76251, 51917, 50822, 54852, 51048, 50900, 70660, 57631, 51619, 50297, 51445, 50415, 51256, 51310, 50422, 51147, 50952, 53523, 64291, 58339, 60015, 75725, 50999, 59161, 51062, 51158, 50434, 51146, 59894, 51339, 72386, 51100, 51062, 51095, 50900, 60817, 60015, 58835, 50981, 50442, 51146, 51100, 50446, 51062, 56831, 51351, 50999, 51204, 51339, 51204, 56279, 65788, 63925, 61915, 50914, 50458, 59179, 56310, 51116, 50999, 51116, 50899, 51025, 51430, 51048, 51324, 50914, 50422, 51146, 50983, 56207, 51178, 50999, 51203, 51086, 68323, 51109, 50989, 50981, 50427, 51430, 51204, 50434, 50902, 51391, 51114, 51134, 51220, 68499, 51841, 50983, 50446, 51315, 51134, 56279, 61581, 62202, 58835, 67883, 50915, 57551, 75860, 62202, 51800, 50289, 51127, 50916, 51127, 50421, 51934 ]

[ 0, 250, 20902, 8, 17627, 17274, 3495, 5175, 2125, 6, 42, 8787, 15229, 16, 278, 11, 5, 762, 9, 274, 10431, 538, 19, 10, 23667, 20889, 9, 18872, 163, 5683, 4, 20, 33301, 16, 2584, 30, 10, 2342, 4467, 6, 7513, 30, 41, 21979, 8669, 6, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 6711, 16, 32076, 8, 33558, 6, 19, 10, 11602, 9, 1619, 9450, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 272, 6, 274, 10431, 6, 8, 163, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 50460, 52367, 50840, 55639, 63604, 51019, 51795, 51357, 57232, 51266, 57232, 51182, 57232, 59007, 64266, 78117, 53672, 69702, 50923, 51206, 52208, 50415, 67717, 50855, 57376, 54878, 52433, 61319, 50894, 50421, 52367, 50859, 57376, 56856, 53598, 57559, 50868, 65394, 78117, 50884, 53297, 58972, 50894, 50424, 67717, 61823, 55639, 50807, 57376, 53901, 50868, 51294, 50847, 51013, 50935, 51013, 52367, 67839, 69702, 51552, 50433, 57376, 62196, 67717, 59921, 57376, 50839, 51658, 51054, 50443, 52433, 50851, 52367, 58937, 50868, 65394, 78117, 50884, 57376, 64429, 78552, 53598, 50840, 53297, 56888, 50868, 64266, 78117, 50884, 52367, 50821, 55639, 50859, 67717, 62421, 75557, 57376, 53068, 50847, 69543, 65646, 53672, 69702, 68458, 67717, 64405, 51357, 51269, 51266, 51269, 51182, 51269, 52433, 50930, 52367, 50880, 57376, 53217, 62664, 50868, 64266, 78117, 71074, 50923, 50458, 67717, 59700, 50927, 51795, 51113, 57232, 51600, 57232, 51107, 57232, 53598, 50930, 53297, 50890, 57376, 50841, 57342, 72736, 66093, 54405, 69702, 50923, 51206, 52208, 58082, 76689, 66093, 50884, 51886, 50851, 53598, 59488, 50894, 50421, 57376, 58659, 52433, 50862, 52367, 52296, 50848, 76689, 66093, 50884, 67717, 56651, 50894, 50424, 53598, 51241, 53297, 65183, 50850, 70902, 51013, 50944, 51013, 57376, 53790, 69702, 51552, 50432, 57376, 53908, 67717, 59921, 57376, 50862, 51658, 51054, 50443, 51886, 50851, 53598, 54746, 50944, 66093, 65810, 50884, 57376, 64429, 69389, 52433, 50813, 52367, 52513, 50848, 72736, 66093, 50884, 67717, 62156, 50894, 50448, 53598, 50882, 53297, 69458, 57376, 52802, 50801, 69702, 68458, 67717, 60425, 57376, 53555, 60264, 51113, 51269, 51107, 51269, 51600, 51269, 50848, 72736, 61952, 50887, 51886, 50930, 53598, 67344, 66120, 67717, 61145, 50964, 51352, 51088, 57232, 51093, 57232, 51266, 57232, 52433, 50930, 52367, 50880, 59007, 65394, 72084, 50887, 57376, 53971, 69702, 50923, 51206, 52208, 57783, 69543, 65394, 50884, 51673, 50810, 52433, 79488, 50894, 50421, 65307, 59993, 74078, 56174, 50885, 69543, 65394, 50884, 51886, 50854, 53598, 55023, 50894, 50424, 57376, 50813, 67717, 61057, 52433, 51091, 52367, 52910, 50868, 64266, 73640, 51294, 65307, 54169, 69702, 51552, 50429, 50868, 51157, 50432, 57376, 59076, 67717, 53116, 57376, 50841, 67717, 53959, 51054, 50443, 51673, 50844, 52433, 50897, 58463, 69543, 65394, 64654, 78552, 51886, 50851, 53598, 50854, 65307, 60812, 74078, 55118, 50868, 65394, 72084, 50884, 57376, 60605, 50894, 50448, 52433, 50882, 52367, 50821, 67717, 54208, 50885, 60709, 64266, 50887, 65307, 54169, 69702, 50923, 50455, 51088, 51269, 51093, 51269, 51266, 51269, 51673, 50890, 52433, 55433, 57951, 50885, 66636, 64266, 50884, 57376, 59281, 50923, 50460, 51491, 57232, 51357, 52988, 51395, 52988, 52156, 51148, 52480, 50914, 54798, 51009, 51042, 51294, 50979, 51294, 50944, 51294, 67717, 50836, 57376, 53971, 69702, 50923, 51206, 52208, 50420, 57376, 64429, 57852, 67717, 62421, 72533, 55639, 52910, 57376, 53959, 69702, 51552, 50429, 67717, 54215, 50979, 76689, 50884, 51042, 50884, 57376, 58662, 67717, 56000, 51042, 50887, 50979, 76689, 59653, 51205, 51300, 57376, 54431, 51042, 65861, 72979, 53841, 60969, 50903, 78552, 57376, 54847, 67717, 63088, 75557, 55639, 54596, 57376, 53309, 69702, 50923, 50452, 53297, 50830, 67717, 62603, 52367, 65243, 57376, 53137, 50903, 50923, 50457, 53598, 69941, 67717, 61780, 51357, 59828, 51266, 59828, 51182, 59828, 50461, 52433, 50890, 53400, 51066, 50935, 66636, 64266, 54405, 69702, 50923, 51206, 55198, 50415, 67717, 50855, 57376, 54878, 50868, 50952, 50847, 78117, 64654, 50894, 50421, 57376, 54104, 50847, 78117, 64654, 50894, 50424, 67717, 61823, 57376, 53901, 51205, 51066, 50847, 78117, 66636, 53672, 69702, 57067, 50868, 78117, 65394, 64654, 79726, 57376, 54248, 50868, 65394, 78117, 64654, 79612, 67717, 54431, 51019, 51066, 50868, 64266, 78117, 50887, 57376, 53790, 69702, 57816, 50868, 65394, 78117, 50884, 57376, 64429, 57152, 50868, 65394, 78117, 50884, 67717, 62421, 75557, 51205, 51072, 57376, 53068, 50868, 65394, 78117, 54405, 69702, 50894, 50452, 50868, 64266, 65646, 50887, 67717, 58186, 50903, 50894, 50455, 57376, 53217, 50868, 64266, 78117, 71074, 67516, 67717, 57326, 50868, 65394, 78117, 64654, 73361, 57376, 50841, 53400, 51066, 50868, 64266, 78117, 54405, 69702, 58808, 50847, 78117, 69543, 50952, 52433, 58972, 50894, 50421, 57376, 58659, 52433, 67724, 50847, 78117, 50884, 67717, 56651, 72533, 52367, 53939, 51205, 51072, 50868, 65394, 78117, 50884, 57376, 53790, 69702, 58236, 50868, 65394, 78117, 64654, 50894, 50431, 55639, 54937, 50868, 65394, 78117, 50884, 57376, 62467, 56966, 50868, 65394, 78117, 50884, 67717, 62421, 77451, 63668, 54362, 51019, 62711, 64266, 78117, 50884, 57376, 53959, 51527, 50903, 51527, 51206, 51527, 50450, 51789, 59960, 51565, 69189, 51266, 54270, 51182, 54270, 51357, 54270, 52156, 50890, 53400, 51066, 50868, 64266, 78117, 54405, 69702, 50923, 51206, 53501, 60474, 65394, 78117, 50884, 52156, 62746, 51739, 51054, 50422, 74078, 56174, 50847, 78117, 64654, 50894, 50424, 57376, 50813, 67717, 53425, 51205, 50993, 50868, 64266, 78117, 50887, 52156, 50930, 65307, 54169, 69702, 57067, 50847, 50884, 52156, 50930, 57376, 63035, 51739, 51054, 50433, 50868, 78117, 50884, 67717, 54665, 50847, 69543, 78117, 64654, 77451, 50868, 50887, 52156, 54459, 51019, 51066, 50847, 65646, 50887, 57376, 50841, 67717, 53959, 69702, 57816, 50935, 50884, 52156, 51138, 50903, 51739, 51054, 79581, 65394, 50884, 65307, 60812, 74078, 55118, 50847, 78117, 69543, 50884, 57376, 60605, 50894, 50448, 67717, 54208, 51205, 51066, 50847, 65646, 66636, 50884, 51827, 51286, 65307, 54169, 69702, 56328, 50935, 65394, 69543, 64654, 54712, 52156, 50911, 57376, 59281, 51739, 51054, 50457, 50847, 78117, 69543, 56419, 50847, 69543, 78117, 64654, 50894, 53400, 51066, 50868, 64266, 78117, 50884, 51673, 50936, 67717, 50836, 57376, 53971, 69702, 58808, 52156, 51661, 57376, 64429, 51739, 51054, 50421, 50935, 65394, 69543, 55795, 67717, 62421, 50894, 50424, 50868, 65394, 78117, 61396, 51205, 51066, 55639, 50910, 57376, 53901, 50868, 64266, 65646, 53672, 69702, 50923, 50428, 53297, 57050, 67717, 60012, 52367, 54372, 50847, 78117, 69543, 50884, 57376, 59607, 51739, 51054, 50433, 53297, 63023, 67717, 56000, 50935, 65394, 69543, 50884, 55639, 63390, 77451, 50868, 64266, 55395, 51019, 51066, 50935, 50884, 57376, 53933, 69702, 57816, 50935, 65394, 69543, 50884, 52156, 69918, 51739, 51054, 50445, 57376, 57728, 50935, 69543, 65394, 55888, 67717, 63088, 75557, 50868, 65394, 78117, 53409, 51205, 51066, 51686, 50806, 57376, 53309, 69702, 50894, 50452, 50868, 65394, 78117, 50884, 67717, 59012, 50903, 50894, 50455, 50868, 50952, 50847, 65646, 50884, 51565, 51286, 57376, 53137, 50903, 51739, 51054, 50458, 67717, 57326, 50847, 78117, 64654, 73361, 51107, 52147, 51600, 52147, 51113, 54557, 51686, 50829, 51596, 51878, 52083, 51242, 51686, 51158, 52288, 51072, 50848, 72736, 66093, 54405, 69702, 78880, 67717, 50855, 57376, 54878, 50944, 66093, 65810, 50884, 52083, 67638, 51739, 51054, 50421, 57376, 54104, 50944, 66093, 65810, 50884, 67717, 62421, 72533, 50848, 72736, 61952, 50887, 57376, 53901, 51011, 69277, 69702, 50923, 50431, 50850, 53230 ]

[ 0, 250, 2635, 8, 5679, 26709, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 38668, 11212, 6, 3459, 9590, 6, 8, 2236, 1021, 2678, 29, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 8520, 5466, 4, 20, 33215, 16739, 9, 211, 119, 6, 1918, 6, 163, 428, 6, 211, 119, 6, 8, 1918, 3639, 7, 5, 15352, 30054, 8, 25306, 619, 9, 42, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 52583, 51922, 78064, 53361, 54270, 51234, 51243, 51050, 51243, 50997, 51243, 50899, 74743, 52077, 70057, 52077, 66129, 51855, 52460, 57019, 51447, 50906, 51447, 50902, 77494, 52077, 51269, 50447, 51855, 53892, 50456, 52517, 69510, 51813, 54171, 50799, 53953, 51243, 52507, 51243, 51197, 51293, 50997, 51243, 50956, 51145, 50861, 51314, 57019, 60268, 50981, 56222, 62163, 50981, 50799, 52583, 51449, 52693, 51449, 53361, 52204, 51234, 51313, 51050, 51449, 50997, 51748, 50899, 74743, 52077, 51824, 50431, 51882, 63801, 52914, 51166, 57019, 51703, 50877, 51703, 50906, 51703, 50902, 51703, 50441, 52086, 52397, 50453, 51882, 51862, 50458, 52077, 51022, 50461, 51882, 52518, 50799, 53953, 51449, 52507, 51449, 51197, 52212, 50415, 50997, 54829, 50956, 52212, 50416, 50861, 52212, 50420, 52086, 58910, 51813, 51432, 50429, 51882, 54829, 63451, 53957, 50871, 65186, 50915, 55513, 78271, 51050, 53957, 50861, 52056, 50906, 51380, 50456, 50997, 52188, 50799, 52583, 51243, 78064, 53361, 51243, 51234, 51449, 51050, 51449, 50997, 51449, 50899, 51449, 50426, 52077, 77692, 52077, 64568, 51855, 52460, 57019, 51703, 50906, 51703, 50902, 53055, 50444, 52077, 65650, 51855, 53726, 50455, 53216, 51126, 50458, 52077, 51123, 50799, 53953, 51449, 52507, 51449, 53361, 51449, 51855, 52511, 50283, 51449, 50997, 51108, 50415, 50956, 58794, 51199, 50418, 51813, 54573, 56759, 51692, 50429, 50956, 54259, 58882, 50435, 67639, 57019, 59460, 52728, 50861, 62542, 50943, 50799, 52583, 51449, 52693, 51449, 53361, 51449, 51234, 52071, 51050, 52071, 50997, 52069, 50899, 52151, 50426, 52077, 51824, 50432, 51882, 51123, 50871, 65273, 66918, 60663, 52914, 51470, 57019, 51637, 50877, 51637, 50906, 51637, 50902, 51637, 50441, 52086, 53161, 50449, 51882, 51432, 50456, 52077, 51022, 51234, 51328, 50457, 50899, 59704, 51328, 50906, 70395, 52914, 52063, 50799, 53460, 51314, 53953, 51314, 52507, 51314, 51279, 51318, 50876, 51318, 50956, 51419, 50861, 51318, 50417, 52086, 51470, 50423, 51882, 51470, 50429, 52077, 51126, 50431, 52086, 52056, 50432, 51279, 51242, 50956, 51242, 50861, 58007, 53913, 52583, 51314, 53654, 51314, 52684, 51314, 51120, 51148, 50989, 51253, 50902, 51480, 77116, 50444, 52655, 50982, 52086, 71940, 52086, 74468, 61817, 64924, 58843, 51882, 52378, 51247, 56054, 51966, 50833, 50799, 52583, 51449, 52507, 51314, 53361, 51314, 51214, 51183, 50861, 53164, 50314, 67889, 51466, 50420, 52077, 52441, 53337, 63821, 64897, 51108, 50435, 52077, 59656, 52693, 51314, 52684, 51314, 51882, 52063, 51799, 51447, 50899, 66719, 68295, 51330, 50443, 52077, 65650, 51855, 52518, 56279, 79675, 68295, 51333, 50454, 52088, 60272, 51813, 55086, 50799, 54522, 51449, 53953, 51449, 52507, 51449, 52046, 51714, 50956, 58794, 51333, 56363, 51253, 56040, 51253, 50861, 57648, 50997, 56656, 50956, 51253, 67104, 50444, 52086, 51000, 52914, 53536, 50302, 70955, 52086, 53535, 50307, 60367, 58843, 51882, 53126, 50285, 50833, 50997, 73316, 51966, 50833, 50799, 52583, 51314, 52507, 51314, 53361, 51314, 51214, 51183, 50861, 53164, 50314, 67889, 51466, 50420, 52077, 53674, 53337, 63821, 64897, 51108, 50435, 52077, 60438, 52583, 51080, 52693, 51080, 52684, 51080, 51882, 51884, 51799, 51447, 50899, 66719, 68295, 51330, 50443, 52077, 65932, 51855, 52063, 56279, 79675, 68295, 51333, 50454, 52088, 60272, 51813, 54829, 50799, 54522, 51449, 53953, 51449, 52507, 51449, 52046, 51151, 50956, 51243, 50861, 51748, 50438, 51487, 51458, 50338, 78013, 51339, 54207, 51405, 58460, 79386, 51081, 76596, 50931, 58298, 76254, 50799, 52583, 51922, 78064, 53361, 54270, 51088, 50825, 51113, 50820, 51234, 51243, 51050, 51243, 50997, 51243, 50899, 51243, 50906, 51145, 50902, 51183, 50931, 51148, 51096, 51264, 50427, 52077, 51365, 50433, 52077, 63801, 51855, 53161, 57019, 51447, 50906, 51447, 50902, 77494, 52077, 63491, 51855, 52460, 50455, 52517, 65319, 51813, 56599, 50799, 53953, 51243, 52507, 51243, 51197, 51293, 50997, 51243, 50956, 51145, 50861, 51314, 51105, 51353, 50438, 51113, 51312, 50871, 60268, 57105, 51165, 58532, 62163, 50981, 50799, 52583, 51449, 52693, 51449, 53361, 52204, 51154, 53454, 51234, 51313, 51050, 51449, 50997, 51748, 50899, 51243, 51096, 51353, 50427, 52077, 65252, 51882, 51022, 50436, 52914, 55659, 50871, 51703, 50877, 51703, 50906, 51703, 50902, 51703, 50442, 52086, 52518, 50450, 51882, 51824, 50456, 52077, 72037, 51882, 52460, 50799, 53953, 51449, 52507, 51449, 51197, 52212, 50415, 50997, 54829, 50956, 54532, 50416, 50861, 52212, 50420, 52086, 52192, 50423, 52088, 51387, 50429, 52077, 51703, 50438, 51113, 78494, 53957, 80238, 50877, 51109, 55513, 78271, 51165, 51619, 50297, 53957, 50861, 52056, 50906, 51380, 50945, 59827, 50997, 52188, 50799, 52583, 51243, 78064, 53361, 51243, 51251, 51047, 51234, 51449, 51050, 51449, 50997, 51449, 50899, 51449, 51096, 51714, 50426, 52077, 70057, 52077, 67171, 51855, 52482, 50438, 51299, 62646, 51703, 50906, 51703, 50902, 53055, 50444, 52077, 63491, 51855, 53161, 50450, 51638, 59827, 52517, 69510, 51813, 53866, 50799, 53953, 51449, 52507, 51449, 53361, 51449, 51426, 51183, 52046, 51449, 50997, 51709, 51105, 51127, 50415, 50956, 58794, 51199, 50421, 51165, 53172, 51395, 51568, 50302, 51692, 50429, 50956, 54259, 51182, 57094, 60157, 50906, 58866, 51113, 50943, 51201, 58134, 59460, 72137, 75355, 51165, 50914, 51395, 59055, 62542, 50943, 50964, 51377, 50461, 51107, 51359, 50799, 52583, 51449, 52693, 51449, 53361, 51449, 51165, 51313, 51154, 52250, 51234, 52071, 51050, 52071, 50997, 52069, 50899, 52151, 51096, 51894, 50426, 52077, 76103, 51882, 75868, 65273, 66918, 60663, 52914, 51254, 57019, 51637, 50877, 51637, 50906, 51637, 50902, 51637, 50441, 52086, 51797, 50450, 51882, 69096, 52077, 52386, 50290, 51328, 51186, 50925, 50457, 50899, 59704, 51328, 50906, 70395, 52914, 51576, 50799, 53460, 51314, 53953, 51314, 52507, 51314, 51088, 51448, 51093, 52222, 51426, 51293, 51279, 51318, 50876, 51318, 50956, 51419, 50861, 51318, 51069, 51295, 50420, 52086, 57079, 51882, 51470, 50429, 52077, 50984, 50431, 52655, 53575, 52086, 51806, 51279, 51242, 50956, 51242, 50861, 58007, 50892, 51096, 54112, 50964, 54181, 52583, 51314, 53654, 51314, 52684, 51314, 51491, 51103, 51120, 51148, 50989, 51253, 50902, 51480, 77116, 50927, 70268, 52655, 50891, 52086, 73380, 52086, 51753, 51113, 63142, 61817, 64924, 58843, 51882, 51108, 51093, 51455, 50285, 56054, 51966, 50833, 50799, 52583, 51449, 52507, 51314, 53361, 51314, 51165, 51183, 51214, 51183, 50861, 53164, 50314, 67889, 51466, 50953, 73009, 52077, 51961, 53337, 63821, 64897, 51108, 50435, 52077, 54927, 52693, 51314, 52684, 51314, 51882, 51753, 51113, 51619, 50282, 51447, 50899, 66719, 68295, 51330, 50927, 51397, 50444, 52077, 58068, 51855, 51797, 50450, 51154, 51134, 50899, 79675, 68295, 69173, 52077, 51142, 50459, 51855, 51797, 50799, 54522, 51449, 53953, 51449, 52507, 51449, 51088, 51514, 50283, 51714, 50956, 58794, 51333, 51105, 52071, 50419, 51813, 51703, 50420, 51165, 79004, 51253, 50426, 51395, 64742, 51253, 50861, 57648, 51182, 79004, 56656, 51304, 71321, 51253, 67104, 50444, 52655, 50863, 52086, 51862, 51394, 51644, 50302, 70955, 52086, 51174, 51284, 64742, 60367, 58843, 51882, 51108, 51201, 51568, 50285, 50833, 50997, 51058, 50945, 50987 ]

[ 0, 713, 17627, 17274, 5175, 8, 3495, 2214, 1575, 41, 21979, 8669, 6, 1893, 43639, 6, 326, 5638, 18026, 6, 228, 438, 4781, 2088, 6757, 6, 8, 21072, 6, 2351, 10, 32076, 8, 33558, 5466, 4, 590, 10, 20889, 9, 1814, 13410, 228, 2289, 6, 24, 3136, 23, 41, 178, 5285, 2877, 11, 204, 73, 306, 86, 6, 150, 5, 762, 9, 83, 3694, 31473, 10, 2842, 9, 5581, 4, 20, 33215, 16739, 9, 272, 406, 6, 230, 6, 3676, 6, 83, 406, 6, 8, 211, 119, 3639, 7, 63, 11653, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 51601, 51236, 78591, 51236, 60854, 51236, 58866, 51236, 72638, 51236, 50930, 53462, 50811, 56098, 77858, 50838, 51317, 50838, 60384, 79298, 54899, 51381, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 58287, 77677, 79650, 51317, 50838, 60384, 79298, 55829, 54299, 55473, 53591, 58287, 77677, 51439, 73169, 52984, 50578, 54090, 54702, 52580, 51261, 51172, 77222, 66201, 54299, 57148, 54889, 58287, 77677, 79650, 51317, 51172, 71426, 51064, 51172, 54377, 55993, 54299, 54766, 52739, 55829, 54702, 53720, 58287, 77677, 79650, 51246, 50827, 54899, 52984, 50578, 54090, 54299, 52085, 52788, 51216, 51172, 70009, 51317, 50838, 60384, 73126, 54377, 54352, 63310, 52546, 54702, 55608, 50939, 79222, 50827, 79650, 54067, 55993, 54299, 52085, 53086, 67730, 79650, 51317, 50838, 60384, 73126, 55829, 54702, 54043, 77677, 51131, 50827, 54377, 52984, 50578, 54090, 54299, 54853, 52989, 58287, 77677, 79650, 51493, 50932, 51574, 50838, 54067, 54352, 52683, 54702, 55371, 51317, 51172, 50929, 73102, 54978, 54090, 54299, 56428, 53176, 58287, 77677, 79650, 54560, 50827, 55829, 54299, 56428, 54529, 51574, 50827, 54067, 51283, 51456, 54090, 54702, 50827, 50799, 78836, 67730, 51140, 51172, 51504, 50838, 50970, 61793, 50838, 71314, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 67730, 50970, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 78836, 67730, 51504, 52984, 50578, 54090, 54702, 52580, 51389, 51172, 62770, 66201, 54299, 57148, 54889, 78836, 67730, 50970, 73102, 51032, 51172, 54978, 55993, 54299, 54766, 52739, 55829, 54702, 53720, 78836, 67730, 67395, 54067, 52984, 50578, 54090, 54299, 52085, 52788, 51389, 51172, 61811, 54978, 54352, 63310, 52546, 54702, 55608, 56401, 50850, 67814, 50827, 50970, 73102, 51032, 51172, 54560, 55993, 54299, 52085, 50827, 51180, 54090, 54702, 54043, 56555, 61811, 54699, 50838, 51456, 54090, 54299, 54853, 52989, 56401, 56555, 62893, 51216, 51172, 70009, 50970, 61793, 50838, 71314, 69061, 54702, 55371, 54978, 54090, 54299, 56428, 53176, 56401, 56555, 62893, 50970, 61793, 50838, 71314, 54377, 50827, 55829, 54299, 56428, 54529, 51131, 50827, 53862, 52984, 50578, 54090, 54702, 50827, 56950, 51172, 67395, 51078, 61793, 50838, 71314, 55823, 51381, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 67730, 51078, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 78836, 67730, 50986, 52984, 50578, 54090, 54702, 52580, 51216, 51172, 70009, 66201, 54299, 57148, 54889, 78836, 67730, 51078, 73102, 51032, 51172, 54163, 54090, 54299, 54766, 52739, 55823, 50827, 55829, 54702, 53720, 78836, 67730, 51131, 50827, 54163, 50838, 51456, 54090, 54299, 52085, 52788, 50872, 51172, 62080, 62893, 51216, 77858, 54352, 63310, 52546, 54702, 55608, 61811, 62891, 71721, 55823, 54090, 54299, 52085, 53086, 54163, 50827, 55829, 54702, 54043, 62080, 51207, 50827, 55823, 50838, 51456, 54090, 54299, 54853, 52989, 56401, 62080, 62893, 51389, 51172, 51444, 50827, 59638, 69463, 65742, 69061, 54702, 55371, 54163, 54090, 54299, 56428, 53176, 62080, 62893, 68872, 59638, 69463, 65742, 55823, 50827, 55829, 54299, 56428, 54529, 51444, 50827, 54067, 51381, 51456, 54090, 54702, 50827, 50799, 56538, 58287, 67730, 51150, 51172, 62770, 60384, 71314, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 56538, 58287, 67730, 60384, 71314, 55829, 54299, 55473, 53591, 56538, 58287, 67730, 50986, 52984, 50578, 54090, 54702, 52580, 51098, 77858, 50827, 54067, 54352, 52546, 54299, 57148, 54889, 56538, 58287, 67730, 67395, 71426, 51032, 51172, 54377, 54090, 54299, 54766, 52739, 51246, 50827, 54899, 50827, 55829, 54702, 53720, 56538, 58287, 67730, 51131, 50827, 55860, 52984, 50578, 54090, 54299, 52085, 52788, 51150, 51172, 62770, 65026, 60384, 79298, 53862, 54352, 63310, 52546, 54702, 55608, 56538, 58287, 67730, 53862, 54090, 54299, 52085, 53086, 65026, 60384, 79298, 53862, 50827, 55829, 52984, 50586, 54702, 54043, 56031, 67395, 53862, 51172, 51456, 54090, 54299, 54853, 52989, 56031, 67730, 79650, 51098, 77858, 50838, 66485, 62631, 51032, 54352, 52683, 54702, 50827, 52145, 54299, 56428, 53176, 56031, 67730, 79650, 65026, 79298, 71314, 55829, 52984, 50586, 54299, 56428, 54529, 51207, 52984, 50578, 54090, 54702, 50827, 50799, 78836, 68872, 51140, 51172, 51504, 50838, 62770, 50970, 61793, 50838, 53192, 51680, 52705, 53221, 52683, 52984, 50586, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 68872, 51504, 50827, 62770, 50970, 61793, 50838, 55829, 54299, 55473, 53591, 78836, 51257, 52984, 50578, 54090, 54702, 52580, 51150, 51172, 51725, 50838, 66201, 54299, 57148, 54889, 78836, 68872, 77465, 50970, 73102, 50832, 54299, 54766, 52739, 55829, 54702, 53720, 78836, 68872, 51725, 52984, 50578, 54090, 54299, 52085, 52788, 51140, 51172, 51504, 50838, 62770, 50970, 61793, 50838, 51938, 52082, 52546, 54702, 55608, 50850, 62431, 50827, 51257, 54090, 54299, 52085, 53086, 56031, 68872, 62770, 50970, 61793, 50838, 53572, 50827, 55829, 54702, 54043, 56031, 51504, 50827, 52488, 50838, 51456, 54090, 54299, 54853, 52989, 78836, 68872, 51150, 51172, 51725, 50838, 69061, 54702, 55371, 77465, 50970, 73102, 52194, 55993, 54299, 56428, 53176, 78836, 68872, 55829, 54299, 56428, 54529, 51725, 50827, 52384, 51381, 51456, 54090, 54702, 50827, 50799, 78836, 67730, 51216, 51172, 70009, 50998, 61793, 50838, 71314, 52705, 53221, 52683, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 78836, 67730, 50998, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 78836, 67730, 51131, 52984, 50578, 54090, 54702, 52580, 51493, 51172, 52384, 51381, 55823, 54352, 52546, 54299, 57148, 54889, 78836, 67730, 61811, 50947, 51172, 51032, 51172, 54163, 54090, 54299, 54766, 52739, 67395, 55823, 50827, 55829, 54702, 53720, 78836, 67730, 51311, 50827, 54163, 52984, 50578, 54090, 54299, 52085, 52788, 51216, 51172, 70009, 50998, 61793, 50838, 71314, 55823, 54352, 63310, 52546, 54702, 55608, 50850, 62431, 50827, 67730, 52384, 50838, 53862, 51172, 50832, 54299, 52085, 53086, 50998, 61793, 50838, 71314, 55829, 54702, 54043, 67730, 51131, 50827, 52148, 52984, 50578, 54090, 54299, 54853, 52989, 78836, 67730, 51493, 51172, 51574, 50838, 52194, 50838, 69061, 54702, 55371, 50998, 73102, 51032, 51172, 50832, 54299, 56428, 53176, 78836, 67730, 53572, 51680, 55829, 54299, 56428, 54529, 51574, 52984, 50578, 54090, 54702, 50827, 56950, 51172, 61811, 51078, 61793, 50838, 71314, 52705, 53221, 52683, 54702, 64936, 51236, 50887, 51921, 54702, 53004, 59645, 78836, 51078, 61793, 50838, 71314, 55829, 54299, 55473, 53591, 59645, 78836, 50960, 52984, 50578, 54090, 54702, 52580, 51216, 51172, 70009, 54163, 54352, 52546, 54299, 57148, 54889, 59645, 78836, 51078, 73102, 51032, 51172, 54163, 54090, 54299, 54766, 52739, 54163, 50827, 55829, 54702, 53720, 59645, 78836, 51131, 50827, 54163, 52984, 50578, 54090, 54299, 52085, 52788, 50944, 51172, 78836, 51389, 51172, 61811, 51078, 61793, 50838, 71314, 52488, 51172, 54163, 51172, 51938, 52082, 52546, 54702, 50827, 52260, 54299, 52085, 53086, 51078, 61793, 50838, 71314, 55829, 54702, 54043, 56555, 67395, 52194, 50838, 53862, 50838, 51456, 54090, 54299, 54853, 52989, 59645 ]

[ 0, 250, 765, 5175, 2214, 19, 10, 15855, 2712, 6, 4246, 10, 13305, 816, 11, 10, 1769, 12, 20764, 195, 73, 306, 86, 6543, 4, 20, 2125, 16, 278, 11, 230, 10431, 3694, 8, 29769, 198, 5, 40286, 12608, 119, 406, 6, 230, 10431, 119, 6, 8, 83, 6, 2351, 10, 2933, 8, 15352, 30054, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56355, 50638, 50965, 55446, 50965, 54856, 50989, 53917, 50965, 55381, 50877, 55920, 50973, 54988, 50989, 50882, 50462, 50965, 50882, 56355, 50965, 55446, 50965, 54856, 50989, 53917, 50965, 55381, 50877, 55920, 50973, 54988, 51378, 69073, 54403, 51315, 67796, 51378, 64452, 50882, 50468, 51027, 50802, 56355, 50638, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 51040, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 50802, 62257, 51147, 50882, 50468, 51027, 50802, 56355, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 51040, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 64452, 50882, 70597, 50468, 51027, 50802, 56355, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 50899, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 64452, 50882, 70597, 50468, 51027, 50802, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 58383, 50449, 51028, 54217, 51147, 53849, 50450, 51378, 50882, 50989, 58974, 51399, 56235, 50453, 52128, 53413, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 79278, 61645, 50812, 51147, 50803, 50465, 50989, 50803, 72156, 50468, 50965, 78859, 50803, 50471, 62754, 68768, 56355, 51176, 50882, 62257, 50968, 52442, 50999, 52382, 51430, 52442, 66650, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 50468, 66740, 69175, 50471, 60013, 51430, 50803, 56355, 51176, 50882, 62257, 51001, 51352, 51405, 66288, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 51028, 50824, 51399, 74781, 51176, 50882, 62257, 50973, 50824, 51220, 50824, 56355, 51176, 50882, 62257, 58336, 50999, 54024, 65293, 51220, 52244, 51176, 50882, 62257, 51028, 51732, 51399, 51732, 50426, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51176, 79278, 52871, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 50468, 51114, 50802, 51787, 50802, 56355, 51176, 50882, 62257, 50968, 51352, 51430, 66288, 51176, 79278, 52710, 51378, 50882, 50989, 52749, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50968, 50824, 51430, 74781, 51176, 50882, 62257, 51114, 50824, 51787, 50824, 56355, 51176, 50882, 62257, 51147, 50803, 52128, 54024, 72156, 51787, 52244, 51176, 50882, 62257, 51147, 50803, 52128, 52801, 68903, 51814, 51973, 51378, 50882, 63435, 51220, 51009, 53117, 61222, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 51220, 50824, 53117, 74781, 51176, 50882, 62257, 51114, 50824, 51787, 50824, 56355, 51176, 50882, 62257, 51147, 52442, 52128, 52442, 66650, 50882, 62257, 50968, 65799, 51631, 51378, 50882, 63435, 51001, 51151, 51405, 51151, 50432, 51176, 79278, 52841, 51027, 75556, 52597, 51086, 50882, 50973, 52848, 51378, 50882, 63435, 50462, 51176, 50882, 62257, 56355, 51378, 61645, 50882, 51147, 52871, 51378, 68678, 50882, 51147, 52710, 50989, 50882, 51114, 52749, 51378, 64452, 50882, 51147, 52841, 51040, 57650, 50882, 50999, 52597, 51378, 64726, 50882, 51220, 52848, 51378, 69073, 50882, 51114, 52955, 51315, 67796, 51378, 64452, 50882, 70597, 50468, 51027, 50802, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 50803, 51399, 53318, 50336, 64342, 51378, 50824, 51399, 51014, 52128, 61177, 51399, 51014, 51787, 65846, 51378, 50802, 51399, 51014, 52128, 62591, 51040, 50824, 51399, 51014, 51814, 66066, 51399, 53318, 50339, 60919, 51378, 50802, 51399, 53318, 50334, 61063, 51315, 50802, 51399, 51014, 50462, 51378, 50802, 51399, 51014, 52128, 51014, 50468, 51027, 50802, 51399, 51021, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 51014, 55898, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 50803, 51146, 51828, 50336, 64342, 51378, 50824, 75746, 52128, 61177, 75746, 51787, 65846, 51378, 67859, 50830, 52128, 51014, 55898, 50824, 75746, 51814, 66066, 51146, 51828, 50339, 60919, 51378, 67859, 51828, 50334, 61063, 51315, 67859, 50830, 50462, 51378, 67859, 50830, 52128, 51014, 50468, 51027, 67859, 50865, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 50803, 51430, 51665, 50336, 64342, 51378, 50824, 51430, 50878, 52128, 61177, 51430, 50878, 51787, 65846, 51378, 50802, 51430, 50878, 52128, 62591, 51040, 50824, 51430, 50878, 51814, 66066, 51430, 51665, 50339, 60919, 51378, 50802, 51430, 51665, 50334, 61063, 51315, 50802, 51430, 50878, 50462, 51378, 50802, 51430, 50878, 52128, 51014, 50468, 51027, 50802, 51430, 50866, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327, 60919, 51378, 69073, 51828, 50322, 61063, 51315, 67796, 51378, 64452, 50830, 51147, 51014, 50468, 51027, 50802, 56355, 51378, 61645, 51828, 50324, 64342, 51378, 68678, 50830, 51147, 61177, 77206, 51114, 65846, 51378, 64452, 50830, 51147, 62591, 51040, 50824, 59836, 50999, 66066, 50973, 51828, 50327 ]

[ 0, 713, 25771, 5175, 2125, 6, 278, 11, 10, 2635, 204, 73, 306, 86, 6543, 6, 7630, 6568, 10, 2933, 8, 5679, 26709, 5466, 4, 20, 38668, 11212, 8, 18558, 10, 25118, 1045, 10, 19448, 8, 9066, 2369, 18795, 6, 150, 5, 13602, 6757, 6, 15679, 642, 1543, 6, 8, 21072, 1606, 5581, 7, 5, 15229, 4, 23973, 11, 5, 762, 9, 230, 10431, 3694, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 2060, 73, 717, 428, 6, 274, 10431, 6, 2060, 73, 717, 428, 6, 8, 230, 10431, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 60587, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 50795, 55654, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 55561, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 55654, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 55561, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 55654, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 55561, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 55654, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 55561, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 50795, 55654, 50795, 54476, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 55654, 50795, 54476, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 55654, 50795, 54476, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 55654, 50795, 54476, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 55561, 50795, 56676, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 53121, 50807, 52819, 55900, 50832, 51820, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 63540, 50832, 53567, 60587, 50795, 55654, 50795, 54476, 50795, 53952, 50795, 52819, 57465, 50832, 51754, 59410, 50795, 55561, 50795, 56676, 50795, 57537, 50795, 52819, 64126, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 55654, 51036, 57412, 50795, 75313, 51036, 77819, 51036, 56131, 51036, 59440, 51036, 54308, 51036, 52089, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 59410, 51036, 57412, 50795, 75313, 51036, 69580, 51036, 56131, 51036, 54707, 51036, 59440, 51036, 54445, 51036, 52089, 51036, 51584, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 55654, 51036, 57412, 50795, 75313, 51036, 77819, 51036, 56131, 51036, 59440, 51036, 54308, 51036, 52089, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 60587, 51036, 55662, 50795, 70729, 51036, 65639, 51036, 56765, 51036, 57182, 51036, 53444, 51036, 51986, 51036, 52819, 56025, 50832, 51835, 55662, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 55662, 50795, 52819, 56919, 50832, 51628, 55662, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 55662, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 55662, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 55662, 50795, 52819, 57465, 50832, 51754, 55662, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50851, 50799, 67281, 51036, 59410, 51036, 57412, 50795, 75313, 51036, 69580, 51036, 56131, 51036, 54707, 51036, 59440, 51036, 54445, 51036, 52089, 51036, 51584, 51036, 52819, 56025, 50832, 51835, 57412, 50972, 52819, 50851, 67001, 55054, 52819, 50851, 56957, 53220, 57412, 50795, 52819, 56919, 50832, 51628, 57412, 50972, 52819, 67592, 50832, 55270, 52819, 50851, 57336, 53269, 57412, 50795, 50778, 50287, 50918, 52819, 55900, 50832, 51820, 57412, 50972, 52819, 63540, 50832, 55854, 52819, 50851, 57730, 53567, 57412, 50795, 52819, 57465, 50832, 51754, 57412, 50972, 52819, 64126, 50832, 56573, 52819, 65019, 50832, 50904, 50799, 60587, 50795, 53121, 50807, 52819, 56025, 50832, 51835, 59410, 50795, 52819, 50851, 67001, 53220, 60587, 50795, 53121, 50807, 52819, 56919, 50832, 51628, 59410, 50795, 52819, 67592, 50832, 53269, 60587, 50795, 53121, 50807, 52819, 55900, 50832 ]

[ 0, 713, 5175, 25771, 2214, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 1575, 10, 3366, 219, 8, 15352, 30054, 5466, 4, 660, 21979, 8669, 3315, 5, 169, 6, 7513, 30, 21072, 6, 18558, 10, 25118, 6, 3459, 9590, 6, 8, 38668, 11212, 6, 2351, 10, 980, 219, 8, 19448, 16464, 4, 20, 7212, 20889, 9, 11061, 163, 5683, 2386, 5, 16331, 33215, 16739, 9, 230, 10431, 119, 6, 274, 10431, 119, 406, 6, 230, 10431, 119, 6, 8, 2060, 7, 18399, 4704, 5, 30443, 149, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 50799, 61879, 50800, 54705, 53504, 61879, 52782, 54705, 52782, 50423, 61879, 50828, 54705, 52905, 61879, 50829, 54705, 54956, 61879, 50863, 54705, 53196, 61879, 50835, 54705, 54248, 61879, 50836, 54705, 53574, 61879, 50851, 54705, 58862, 61879, 50809, 54705, 52510, 61879, 50835, 54705, 54492, 61879, 50837, 54705, 52763, 61879, 50834, 54705, 50834, 52671, 51012, 53444, 51388, 50453, 61879, 50837, 54705, 53007, 61879, 50829, 54705, 50829, 52604, 51012, 54992, 60505, 50300, 50930, 51017, 50930, 50944, 50930, 52540, 56244, 50923, 51584, 51286, 52170, 51286, 50458, 51396, 50809, 51017, 60590, 53793, 61879, 50837, 54705, 58841, 51396, 50862, 51017, 72801, 50855, 50799, 61879, 50800, 54705, 50800, 51228, 51151, 52156, 51870, 57198, 52722, 52540, 51235, 51396, 51115, 51017, 51115, 50944, 51364, 50992, 51941, 51525, 53971, 53518, 50820, 50769, 50289, 51138, 51986, 51527, 51902, 51527, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 52540, 51203, 51070, 53098, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 52540, 50812, 51396, 79606, 50854, 50944, 64582, 55578, 54483, 61879, 50836, 54705, 50836, 52540, 51397, 51396, 51397, 51017, 51562, 50848, 51562, 50944, 51562, 50935, 51562, 51070, 54114, 61879, 50851, 54705, 59031, 54704, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 50374, 52663, 50447, 61879, 50837, 54705, 54561, 53430, 61879, 50834, 54705, 50834, 52671, 51012, 51070, 50839, 53444, 51388, 50453, 61879, 50837, 54705, 54561, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 52540, 50840, 51396, 50840, 51017, 56814, 72736, 68166, 58724, 50863, 51584, 50923, 52170, 51388, 50458, 52540, 50834, 51396, 50857, 51017, 61575, 68015, 63723, 57326, 61879, 50837, 54705, 54561, 63940, 50935, 50839, 52540, 50904, 51396, 50813, 51017, 59823, 57408, 50862, 50799, 61879, 50800, 54705, 50800, 51228, 51363, 52156, 51870, 58635, 52722, 52540, 50991, 51396, 51203, 51017, 51203, 50944, 51238, 50935, 51238, 50992, 51714, 51525, 53518, 50820, 67754, 50880, 51986, 51761, 51902, 51761, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 51228, 51423, 52540, 51203, 51396, 51203, 51017, 51203, 50944, 51238, 50935, 51238, 51525, 53622, 50928, 67754, 54818, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 51228, 50829, 52540, 50808, 51396, 50808, 67832, 65007, 50935, 52757, 50559, 69627, 67754, 59046, 61879, 50836, 54705, 50836, 51396, 51183, 51017, 51183, 50848, 51183, 50944, 51183, 50935, 51183, 52540, 51183, 51070, 54114, 61879, 50851, 54705, 59031, 54704, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 50374, 52663, 50447, 61879, 50837, 54705, 54561, 53430, 61879, 50834, 54705, 50834, 52671, 51012, 51070, 50839, 53444, 72590, 61879, 50837, 54705, 54561, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 51070, 50863, 51584, 50976, 52170, 50976, 50459, 61879, 50837, 54705, 72578, 69149, 50818, 51396, 50813, 51017, 62387, 59418, 63940, 51017, 61585, 63264, 66793, 59026, 51396, 50820, 50799, 61879, 50800, 54705, 50800, 51228, 51115, 52156, 51870, 58635, 52722, 52540, 51221, 51396, 51189, 51017, 51141, 50944, 50983, 50935, 51343, 50992, 51945, 51525, 53971, 53622, 50820, 50769, 50289, 50811, 67754, 50890, 51986, 51029, 51902, 51029, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 52540, 51203, 51070, 53098, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 51228, 51680, 52540, 50808, 51396, 50808, 51017, 54474, 59034, 60877, 63631, 69627, 67754, 59046, 61879, 50836, 54705, 50836, 51396, 51183, 51017, 51183, 50848, 51183, 50944, 51183, 50935, 51127, 52540, 51145, 51070, 54114, 61879, 50851, 54705, 59031, 54704, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 50374, 52663, 50447, 61879, 50837, 54705, 54561, 53430, 61879, 50834, 54705, 50834, 52671, 51012, 51070, 50839, 53444, 51505, 50453, 61879, 50837, 54705, 54561, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 51070, 50863, 51584, 50976, 52170, 54934, 61879, 50837, 54705, 72578, 69149, 50818, 51396, 50813, 51017, 62387, 59418, 63940, 51017, 61585, 63264, 66793, 59026, 51396, 50820, 50799, 61879, 50800, 54705, 50800, 51228, 51363, 52156, 52827, 58635, 55044, 52540, 51116, 51396, 51116, 51017, 51116, 50944, 50991, 50935, 51238, 50992, 51591, 51525, 54018, 50820, 67754, 50880, 51986, 51407, 51902, 51407, 50417, 61879, 52782, 54705, 52782, 51070, 54183, 51070, 54604, 61879, 50828, 54705, 50828, 51228, 51423, 52540, 51203, 51396, 51203, 51017, 51203, 50944, 51238, 50935, 51238, 51525, 54018, 50928, 67754, 53939, 61879, 50829, 54705, 52909, 53943, 61879, 50863, 54705, 53332, 53962, 61879, 50835, 54705, 50835, 51228, 50829, 52540, 50833, 51396, 72067, 61506, 50808, 50935, 63631, 50376, 52663, 67754, 58970, 61879, 50836, 54705, 50836, 52540, 51562, 51396, 51562, 51017, 51562, 50848, 51562, 50944, 51562, 50935, 51562, 51070, 54114, 61879, 50851, 54705, 53701, 50559, 54018, 50820, 67754, 63881, 61879, 50809, 54705, 57503, 54485, 61879, 50835, 54705, 56544, 50386, 52663, 50447, 61879, 50837, 54705, 50837, 51316, 59345, 53430, 61879, 50834, 54705, 50834, 51316, 50894, 52671, 51012, 51070, 50839, 53444, 50949, 53444, 51388, 50453, 61879, 50837, 54705, 50837, 51067, 59031, 54038, 61879, 50829, 54705, 50829, 78578, 52604, 51012, 54992, 60505, 50293, 50840, 51396, 50840, 51017, 56814, 72736, 68166, 64960, 69199, 50863, 51584, 50961, 51584, 51286, 52170, 50961, 52170, 51286, 50458, 52540, 50834, 51396, 50857, 51017, 61575, 68015, 63723, 57326, 61879, 50837, 54705, 50837, 51316, 55127, 63940, 52540, 50904, 51396, 50813, 51017, 59823, 57408, 63472, 50862, 50799, 61879, 50800, 54705, 50800, 51228, 51151, 51076, 51141, 52156, 51870, 57198, 52722, 52540, 51235, 50935, 51364, 51396, 51115, 51017, 51115, 50944, 51364, 50992, 51941, 74993, 56124, 52922, 50820, 51986, 51552, 51902, 51552, 50417, 61879, 52782, 54705, 52782, 51270, 54018, 73954, 51270, 53420, 51270, 53246, 54604, 61879, 50828, 54705, 50828, 52540, 51203, 51068, 61943, 53518, 53098, 61879, 50829, 54705, 53669, 61758, 54018, 53943, 61879, 50863, 54705, 59126, 53740, 53962, 61879, 50835, 54705, 68013, 50887, 52540, 50812, 51396, 79606, 50854, 50944, 64537, 50381, 52663, 50435, 61879, 50836, 54705, 59495, 50839, 51396, 63593, 57482, 57597, 51418, 50293, 51047, 51270, 53977, 54114, 61879, 50851, 54705, 56029, 69804, 53544, 54704, 61879, 50809, 54705, 50809, 73770, 57724, 51396, 60439, 58244, 50974, 51270, 54018, 68211, 51270, 53384, 61879, 50835, 54705, 58729, 50372, 52663, 50447, 61879, 50837, 54705, 50837, 51396, 50822, 69950, 55315, 61910, 50935, 62983, 52922, 53430, 61879, 50834, 54705, 50834, 52671, 51952, 50300, 63593, 55711, 57482, 74345, 51938, 51433, 54018, 50839, 53444, 51388, 50453, 61879, 50837, 54705, 60432, 53977, 54038, 61879, 50829, 54705, 50829, 52604, 51012, 62580, 56120, 51396, 50840, 51017, 56814, 72736, 68166, 62950, 50378, 52663, 51584, 50923, 52170, 51388, 50458, 51396, 50857, 51017, 61575, 68015, 63723, 57326, 61879 ]

[ 0, 250, 32625, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 2635, 226, 22740, 20889, 8, 132, 73, 306, 86, 6543, 1045, 10, 3366, 219, 5466, 6, 150, 5, 38668, 11212, 6, 33704, 5675, 22052, 6, 21979, 8669, 6, 24896, 6, 8, 12405, 21072, 35810, 561, 15352, 30054, 13171, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 1575, 10, 2007, 33215, 16739, 9, 381, 8, 1918, 6, 2455, 5, 30443, 7, 24144, 88, 10, 33535, 6, 23975, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50621, 54281, 51196, 51042, 51291, 50415, 50868, 51291, 50992, 51291, 50416, 50935, 51291, 52356, 50368, 55958, 50370, 55958, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 50810, 54360, 56263, 50894, 54236, 66584, 50868, 52597, 51374, 50833, 51042, 54803, 51640, 54954, 56827, 50856, 51877, 53545, 51374, 51363, 50868, 53820, 50850, 50923, 51769, 50891, 53447, 51551, 50944, 51196, 50850, 51196, 53058, 67481, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 52729, 51181, 56548, 50894, 53058, 50991, 50441, 50868, 52597, 51181, 50833, 51042, 54803, 51374, 54954, 50923, 52130, 59323, 50856, 51877, 53545, 51181, 51203, 50868, 53820, 50850, 50923, 53058, 58790, 50891, 54309, 51196, 50868, 51196, 52130, 50918, 60043, 51196, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 50810, 54683, 56263, 50894, 52130, 50991, 50441, 50868, 52597, 51338, 50833, 51042, 54803, 51181, 54954, 50923, 51967, 59323, 50856, 51877, 53545, 51338, 51363, 50868, 53820, 50850, 50923, 52130, 58790, 50891, 53447, 51551, 50944, 51196, 50850, 51196, 53058, 67481, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 52729, 51181, 56548, 50894, 53058, 50991, 50441, 50868, 52597, 51181, 50833, 51042, 54803, 51374, 54954, 50923, 51951, 59323, 50856, 51877, 53545, 51181, 51203, 50868, 53820, 50850, 50923, 53058, 58790, 50891, 54309, 51196, 50868, 51196, 52130, 50918, 60043, 51196, 52356, 50368, 55958, 78666, 52356, 50375, 55958, 53227, 50850, 57852, 50868, 52710, 51042, 54049, 51877, 54013, 50850, 54440, 50868, 54125, 51042, 50810, 54683, 56263, 50894, 52130, 50991, 50441, 50868, 52597, 51338, 50833, 51042, 54803, 51181, 54954, 50923, 51967, 59323, 50856, 51877, 53545, 51338, 51363, 50868, 53820, 50850, 50923, 52130, 58790, 50891, 55556, 53241, 50939, 51014, 52249, 67481, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50939, 51014, 50422, 50939, 57818, 79151, 50918, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 52249, 50991, 50440, 50939, 63280, 50939, 51014, 50446, 50939, 76791, 52130, 59323, 50939, 70398, 51877, 59671, 50939, 61898, 51727, 60935, 51014, 52249, 58790, 61034, 50939, 50959, 52894, 52500, 50850, 51014, 52064, 51605, 53511, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 53227, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 50850, 60675, 50773, 50314, 51358, 50850, 78137, 50850, 58450, 50850, 51014, 50440, 50850, 63280, 50850, 51014, 50446, 50850, 58248, 50850, 70398, 51877, 59671, 50850, 61898, 51132, 63752, 51014, 51967, 58790, 61034, 66214, 55556, 53241, 50939, 51014, 52249, 50918, 53949, 51036, 54638, 51036, 55014, 51036, 58714, 51036, 53254, 51115, 53293, 51452, 50415, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 52249, 50991, 50440, 50939, 63280, 50939, 51014, 53254, 50866, 53293, 69905, 50939, 76791, 52130, 59323, 79151, 51091, 50939, 70398, 51877, 50818, 52983, 50866, 54464, 50866, 50452, 50939, 61898, 51727, 60935, 51014, 52249, 58790, 50891, 52509, 51047, 54184, 51047, 50458, 50939, 50959, 52894, 52500, 50850, 51014, 52064, 51605, 53511, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 53227, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 50850, 60675, 50850, 78137, 50850, 58450, 50850, 51014, 55091, 51025, 53619, 51025, 50440, 50850, 63280, 50850, 51014, 50446, 50850, 58248, 50850, 70398, 51877, 50818, 52983, 50866, 54464, 50866, 50452, 50850, 61898, 51132, 63752, 51014, 51967, 58790, 50891, 52983, 50813, 54464, 57185, 66214, 50459, 53254, 51397, 53293, 51397, 55556, 53241, 50939, 51014, 52249, 50918, 53949, 51036, 54638, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50773, 50314, 51605, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 52249, 50991, 53254, 50866, 53293, 50866, 50440, 50939, 63280, 50939, 51014, 55613, 50866, 52754, 69905, 50939, 76791, 52130, 59323, 50939, 70398, 51877, 50818, 55613, 50866, 52754, 50866, 50452, 50939, 61898, 51727, 60935, 51014, 52249, 58790, 50891, 52509, 51047, 54184, 51151, 50458, 50939, 50959, 52894, 52500, 50850, 51014, 52064, 50918, 53511, 51036, 55014, 51036, 58714, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 53227, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 50850, 60675, 50850, 78137, 66214, 51272, 50302, 56491, 51014, 52249, 50991, 50440, 50850, 63280, 54144, 50803, 50850, 51014, 50446, 66214, 50447, 55298, 50802, 51951, 59323, 50850, 70398, 51877, 59671, 66214, 50453, 54144, 52163, 51132, 50839, 55298, 50803, 50850, 51014, 52142, 58790, 61034, 66214, 50459, 54144, 50803, 71596, 51009, 51727, 53241, 50939, 51014, 54113, 50918, 53949, 51036, 54638, 51036, 55014, 51036, 60047, 71718, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 55926, 50773, 50314, 51894, 50420, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 78137, 50939, 58450, 50939, 51014, 54113, 50991, 53254, 50866, 53293, 50866, 50440, 50939, 63280, 50939, 51014, 52983, 50813, 54464, 58171, 50939, 76791, 52142, 50991, 52983, 50866, 54464, 54356, 50939, 70398, 51877, 59671, 50939, 50959, 50453, 53298, 50813, 54410, 53211, 51727, 60935, 51014, 51951, 58790, 50891, 53298, 50813, 54410, 57185, 50939, 67419, 52509, 51115, 54184, 51115, 52894, 52500, 50850, 51014, 52142, 50918, 54884, 51036, 53511, 51036, 55014, 71718, 52356, 50368, 55958, 78666, 66214, 52356, 50375, 55958, 55926, 79151, 51605, 50420, 50850, 51014, 50422, 50850, 57818, 50850, 70398, 51877, 60568, 66214, 50429, 54144, 52119, 55298, 50803, 50850, 51014, 52983, 50813, 54464, 56585, 66214, 50435, 54144, 50803, 52983, 50813, 54464, 50813, 51272, 50302, 56491, 51014, 52142, 50991, 55091, 51101, 53619, 51101, 50440, 50850, 63280, 54144, 50803, 50850, 51014, 50446, 66214, 50447, 55298, 50802, 51951, 50991, 52983, 50866, 54464, 54356, 50850, 70398, 51877, 59671, 66214, 50453, 54144, 50803, 53298, 50866, 54410, 54752, 51132, 50839, 55298, 50803, 50850, 51014, 52142, 58790, 61034, 66214, 50459, 54144, 50803, 53254, 50915, 53293, 51115, 71596, 51009, 51727, 53241, 50939, 51014, 54113, 50918, 54884, 51036, 53949, 51036, 54638, 51036, 55014, 71718, 52356, 50368, 55958, 78666, 50939, 50959, 52356, 50375, 55958, 53227, 50939, 51014, 50422, 50939, 57818, 50939, 70398, 51877, 60568, 50939, 60675, 50939, 51014, 55613, 50813, 52754, 56585, 50939, 66804, 53254, 50813, 53293, 52781, 50939, 51014, 54113, 50991, 53254, 50866, 53293, 50866, 50440, 50939, 63280, 50939, 51014, 55613, 50866, 52754, 69905, 50939, 76791, 52142, 59323 ]

[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 3495, 2712, 6, 16, 10, 15352, 30054, 8, 19448, 2125, 14, 7630, 6568, 10, 1619, 16464, 4, 85, 1575, 41, 21979, 8669, 6, 6755, 12547, 6, 31391, 1672, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 32625, 5466, 4, 20, 1349, 16, 278, 11, 381, 3694, 6, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 8940, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 3676, 406, 6, 163, 119, 6, 163, 428, 6, 8, 83, 406, 3639, 7, 5, 2214, 18, 34384, 1722, 8, 5679, 26709, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 74734, 50426, 51667, 58814, 52135, 52119, 51643, 58970, 51633, 50894, 51057, 51844, 52097, 52113, 50803, 52133, 52829, 52187, 52121, 51615, 52069, 52033, 53073, 50415, 52012, 54805, 76714, 50955, 50417, 51993, 59236, 50986, 51423, 50998, 51267, 50929, 51253, 51076, 51806, 52113, 51059, 53763, 50427, 53763, 51270, 74954, 51574, 74257, 50986, 51210, 50433, 50798, 50967, 53763, 50435, 52135, 65733, 51374, 50836, 51057, 52226, 50898, 50955, 50415, 79740, 50998, 51290, 50929, 51048, 51076, 51159, 51131, 51116, 51349, 50818, 51633, 51407, 51270, 80234, 51008, 50421, 50986, 51108, 51349, 51054, 50427, 51574, 60665, 53734, 78128, 57476, 69239, 70009, 67519, 65244, 51374, 52744, 51008, 51240, 66519, 51349, 50890, 51057, 52255, 52208, 50798, 71496, 50942, 50415, 52012, 51336, 51270, 50942, 50416, 51844, 52512, 60434, 51233, 50421, 50998, 51159, 51169, 51157, 51076, 51056, 53763, 51544, 50955, 51270, 60313, 50986, 51025, 52226, 60759, 51633, 57476, 50798, 56958, 66859, 51633, 58198, 51374, 50854, 51057, 51076, 51932, 50998, 51066, 51169, 51500, 51349, 53065, 50955, 50415, 51643, 60536, 75832, 51643, 51052, 51008, 50421, 72094, 51349, 51354, 50423, 52135, 50950, 52389, 53734, 78128, 56998, 51131, 51215, 52135, 66605, 50998, 51101, 51076, 51212, 51169, 51242, 51349, 52359, 51374, 60121, 50986, 52839, 51008, 51240, 56080, 53179, 50880, 52372, 50882, 50436, 51574, 50942, 51057, 51615, 51307, 50791, 50942, 51270, 51021, 50415, 52012, 51527, 51844, 51300, 52372, 53056, 51173, 50419, 52113, 51010, 50421, 50986, 50978, 51076, 51267, 50998, 51100, 50929, 51267, 53763, 50423, 52113, 54675, 51270, 50942, 50427, 53763, 50428, 56746, 58874, 50986, 51377, 50998, 67673, 56746, 51520, 60121, 51131, 50874, 52653, 50436, 51374, 50840, 52372, 50821, 59052, 50998, 51603, 50929, 51500, 51076, 51603, 51349, 51130, 50955, 51270, 51045, 50416, 52372, 75832, 64932, 60879, 50986, 51233, 51349, 51364, 58196, 51805, 57630, 58196, 64262, 51131, 51215, 51240, 51520, 55271, 73488, 51076, 51242, 50998, 51242, 50929, 51328, 50431, 56746, 57476, 50986, 51101, 53763, 51240, 59618, 56746, 51496, 50436, 51574, 50925, 51057, 52255, 78996, 52012, 51336, 51844, 61846, 50893, 52653, 51270, 55573, 50986, 50978, 51076, 51056, 50421, 51169, 51159, 50998, 51157, 53763, 50427, 54061, 51052, 50955, 51270, 58465, 53128, 67757, 50986, 73195, 56746, 59009, 50798, 51370, 69876, 54061, 52442, 50436, 51131, 52167, 51374, 50855, 51057, 50998, 51653, 51169, 51460, 51076, 79108, 50955, 50415, 51349, 57344, 55446, 50986, 51242, 53763, 50421, 51349, 51460, 50426, 50998, 51100, 51076, 51173, 51169, 51192, 62579, 58878, 50948, 51240, 58874, 50986, 68766, 51131, 51006, 50433, 51533, 51052, 51008, 51240, 58198, 51574, 50942, 51374, 50821, 51057, 52012, 51527, 50415, 51844, 61846, 50948, 54722, 51270, 51388, 50421, 68103, 51076, 51203, 50998, 51221, 50929, 51203, 53763, 50427, 50986, 51134, 53763, 51270, 50940, 51361, 51008, 50433, 51076, 51043, 50998, 51003, 50929, 70306, 50865, 50436, 51374, 50867, 67014, 50955, 50415, 51131, 51345, 51349, 66416, 50924, 51039, 51008, 50421, 51076, 51233, 50929, 51101, 51349, 50993, 50427, 50986, 54068, 55576, 50948, 51240, 58874, 60419, 51076, 51074, 67765, 51374, 51427, 50433, 51131, 51051, 80254, 53763, 51240, 65733, 51574, 50925, 51057, 52012, 51685, 54407, 50415, 51844, 52097, 50798, 50893, 51270, 50938, 50421, 68657, 51169, 51121, 51076, 51177, 50998, 51060, 53763, 50426, 50986, 53710, 50955, 50427, 51270, 78674, 51076, 51328, 50998, 51242, 51169, 51242, 50433, 50986, 51174, 53763, 50798, 50865, 50436, 51374, 50862, 59052, 50986, 51345, 50998, 51354, 51169, 51379, 51076, 51167, 51349, 50898, 50959, 51270, 52628, 69789, 50421, 73077, 53763, 50426, 51076, 51235, 50427, 50998, 51160, 51169, 51235, 51374, 52374, 55576, 50948, 51240, 58459, 50986, 51309, 51137, 64338, 51349, 52964, 51008, 51240, 50803, 51057, 51574, 50925, 50415, 52012, 51527, 51844, 77799, 58878, 50948, 51270, 50894, 50421, 50986, 50978, 51076, 51177, 50998, 51110, 50929, 51255, 53763, 50427, 50986, 50925, 53763, 50430, 50986, 51255, 50433, 50798, 53710, 63125, 51131, 51637, 50436, 51374, 50855, 59052, 50998, 51500, 51076, 51500, 50929, 51227, 51349, 51135, 50955, 50421, 50986, 51337, 51349, 51227, 53763, 51270, 50894, 50427, 51574, 59156, 58878, 50948, 51240, 74172, 51076, 51242, 50998, 51212, 50929, 54342, 51240, 65174, 72094, 51349, 51594, 69876, 51131, 50942, 50436, 51374, 50813, 51057, 52012, 60206, 50948, 54407, 50415, 51844, 52097, 51270, 55492, 50986, 51254, 50998, 51100, 51169, 51056, 51076, 51121, 50421, 53763, 51544, 50955, 50427, 51270, 59965, 50986, 51363, 51076, 76103, 51131, 51419, 53763, 51240, 64338, 50798, 50865, 50436, 51374, 50862, 51057, 51169, 51160, 50998, 51460, 51076, 61751, 50955, 50415, 51349, 64494, 57188, 50986, 51212, 53763, 50421, 51349, 72104, 50998, 51178, 51169, 51235, 51076, 51235, 52653, 50798, 50948, 51240, 76526, 51374, 52359, 68657, 51844, 51012, 53763, 50433, 51240, 51021, 51057, 51504, 68696, 58878, 50948, 50415, 51132, 51661, 51270, 55492, 50970, 51101, 53763, 50421, 51169, 51411, 51032, 51267, 51067, 51056, 51544, 51008, 50427, 51270, 50940, 50430, 50970, 51124, 51361, 63834, 72021, 51240, 50942, 50436, 51338, 50857, 51057, 51169, 50980, 51032, 50980, 51067, 51603, 51132, 50962, 70561, 50955, 51270, 52244, 50970, 51233, 50421, 51132, 51157, 53763, 50426, 65930, 50427, 52653, 51240, 51520, 50948, 50430, 51169, 51242, 51032, 51242, 51067, 51101, 50433, 50970, 51177, 51132, 51420, 51008, 51240, 51045, 50435, 51602, 67066, 51311, 50933, 59052, 51574, 51551, 51374, 51077, 53763, 50798, 65924, 51138, 50421, 50970, 51242, 51169, 51159, 51032, 51159, 51067, 51267, 50960, 51448, 53763, 51544, 50959, 50427, 51270, 59161, 50970, 51255, 51361, 51008, 50433, 51311, 51753, 50798, 64984, 50830, 67014, 50942, 50415, 51169, 51227, 51032, 50980, 51067, 50980, 51270, 50860, 51039, 51008, 50421, 50970, 51043, 51374, 58860, 51311, 54070, 53710, 50910, 51240, 53300, 51374, 68207, 51169, 51242, 51032, 51212, 51067, 51101, 50433, 60918, 51181, 61984, 51240, 74089, 51574, 50878, 51374, 50862, 59052, 52012, 52311, 51844, 52512, 50791, 58878, 65924, 67721, 51076, 51056, 50998, 51159, 50929, 51255, 53763, 50427, 53763, 51270, 51045, 50430, 69088, 51974, 51370, 51008, 50433, 51131, 51267, 51240, 50917, 50436, 51374, 50822, 51057, 70204, 51603, 54407, 50415, 51169, 51932, 51076, 50980, 51349, 69804, 67008, 50986, 51233, 51349, 52374, 57630, 51240, 56998, 51131, 51021, 51349, 53056, 50948, 54613, 50430, 50998, 50987, 51169, 50987, 51076, 51058, 51374, 52726, 51844, 79726, 53763, 51240, 51138, 50434, 50986, 65470, 51727, 79612, 51131, 50925, 51057, 51857, 57520, 53734, 50878, 50415, 50960, 51346, 70804, 51270, 50823, 50416, 53092, 51351, 51311, 50897, 50421, 51311, 52839, 51008, 50427, 50947, 50975, 54613, 51270, 58656, 51311, 51252, 61414, 50433, 51311, 50845, 51181, 64493, 57603, 51370, 51008, 50436, 51574, 51003, 51533, 50811, 51057, 50960, 51055, 50970, 51235, 50415, 51169, 51541, 51374, 78487, 50955, 51270, 70844, 51032, 51043, 50421, 51311, 51043, 53763, 50426, 51032, 51238, 50427, 51076, 50952, 51533, 50817, 51374, 63325, 78128, 51520, 50948, 50430, 50970, 51121, 52372, 50813, 53128 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 83, 538, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 3459, 9590, 6, 30062, 620, 7085, 12280, 642, 6, 8, 3459, 8669, 4, 590, 10, 20889, 9, 1814, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 10563, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 8, 211, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50796, 50796, 50444, 51114, 52596, 50999, 50805, 50454, 51068, 53137, 51399, 60450, 67205, 63380, 76502, 72137, 51101, 51905, 51466, 51733, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50870, 51971, 58059, 52703, 50365, 53315, 62433, 51126, 53214, 51693, 50418, 51068, 54213, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 64745, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51693, 50424, 51068, 52976, 51430, 51112, 51069, 51043, 51905, 52460, 51733, 52460, 50801, 52703, 50369, 53315, 62433, 51126, 53649, 51693, 50430, 51068, 53814, 50944, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50971, 51760, 60349, 52087, 50375, 53315, 62433, 55310, 51146, 51091, 51558, 53486, 51384, 53486, 70942, 50436, 51068, 52958, 50927, 78460, 52703, 50367, 53315, 62433, 51126, 53491, 52611, 50442, 51068, 53858, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51258, 50448, 50927, 58849, 53166, 51114, 50830, 51069, 55675, 52703, 50371, 53315, 62433, 51126, 54599, 79104, 50999, 57621, 54038, 51399, 50795, 51205, 50878, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53341, 51306, 50460, 51068, 50908, 76502, 51112, 50927, 51101, 51905, 51466, 51733, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 58059, 52703, 50371, 53315, 62433, 51126, 53214, 51129, 50418, 51068, 54213, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 50372, 53315, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51306, 50424, 51430, 50967, 51068, 52976, 51069, 51101, 51905, 52460, 51733, 52460, 50801, 52703, 50365, 53315, 62433, 51126, 53649, 51129, 50430, 51068, 53814, 51814, 58228, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50870, 51760, 60349, 52087, 50373, 53315, 62433, 55310, 51558, 52441, 51384, 52441, 70942, 50436, 51068, 52958, 51814, 62415, 69026, 52703, 50372, 53315, 62433, 51126, 53491, 51129, 50442, 51068, 53858, 51787, 58228, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51004, 50448, 50927, 56340, 53166, 51787, 70323, 50866, 51905, 51466, 51733, 51466, 54227, 50870, 51971, 55170, 52703, 50369, 53315, 62433, 51126, 54599, 51258, 50454, 51146, 58717, 52920, 51019, 57062, 58243, 59072, 50836, 51149, 55153, 52300, 50378, 53315, 62433, 50836, 53341, 51258, 50460, 51220, 50967, 51068, 50835, 52563, 51101, 51384, 52460, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 55170, 52703, 50365, 53315, 62433, 51126, 53214, 51693, 50418, 51068, 54213, 51146, 55990, 62552, 59072, 50836, 51840, 55250, 52087, 64745, 62433, 55155, 51384, 52482, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 59795, 51693, 50424, 51068, 52976, 51220, 70323, 78460, 52703, 50369, 53315, 62433, 51126, 53649, 51693, 50430, 51146, 62752, 53814, 51905, 53486, 51733, 53486, 50847, 62552, 59072, 50836, 63479, 51231, 51803, 51672, 51803, 51457, 51803, 51818, 51803, 54227, 50971, 51971, 60349, 52087, 50375, 53315, 62433, 50836, 53198, 51129, 50436, 50999, 51091, 51068, 52958, 50953, 69026, 52703, 50367, 53315, 62433, 51126, 53491, 52611, 50442, 51068, 53858, 50847, 62552, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51258, 50448, 50953, 60561, 53166, 51114, 70323, 55675, 52703, 50371, 53315, 62433, 51126, 54599, 79104, 50951, 53984, 54038, 63558, 51019, 50866, 50847, 62552, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53341, 51306, 50460, 51114, 58717, 50908, 52563, 51101, 51384, 52460, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 58059, 52703, 50371, 53315, 62433, 51126, 53214, 51129, 50418, 50973, 57621, 54213, 50902, 50983, 50847, 62552, 59072, 50836, 51840, 55250, 52087, 50372, 53315, 62433, 55155, 51384, 52460, 52405, 52460, 51231, 50822, 51672, 50822, 51457, 50822, 52948, 50822, 54598, 50870, 52678, 59795, 51306, 50424, 51068, 52976, 50927, 78460, 52703, 50365, 53315, 62433, 51126, 53649, 51129, 50430, 51068, 53814, 51905, 52519, 51733, 52519, 50847, 62552, 59072, 50836, 63479, 51231, 51803, 51672, 51803, 51457, 51803, 51818, 51803, 54227, 50971, 51971, 60349, 52087, 50373, 53315, 62433, 50836, 53198, 51129, 50436, 51068, 52958, 61827, 50953, 69026, 52703, 50372, 53315, 62433, 51126, 53491, 51129, 50442, 50999, 61181, 53858, 50847, 62552, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51004, 50448, 50968, 51178, 50953, 60561, 61244, 51558, 52441, 51384, 52441, 50450, 51069, 50845, 54091, 50971, 51760, 58059, 52703, 50369, 53315, 62433, 51126, 54599, 51258, 50454, 51068, 52920, 50968, 50942, 51205, 50866, 50847, 62552, 59072, 50836, 51149, 55153, 52300, 50378, 53315, 62433, 50836, 53341, 51258, 50460, 50999, 70222, 50835, 52288, 51101, 51905, 51466, 51733, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50870, 51971, 58059, 52703, 50365, 53315, 62433, 51126, 53214, 51693, 50418, 50968, 51337, 51068, 54213, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 64745, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51693, 50424, 51068, 52976, 72311, 51069, 51043, 51905, 52460, 51733, 52460, 50801, 52703, 50369, 53315, 62433, 51126, 53649, 51693, 50430, 50999, 51079, 51068, 53814, 50944, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50971, 51760, 60349, 52087, 50375, 53315, 62433, 55310, 51558, 53486, 51384, 53486, 70942, 50436, 50968, 51166, 51068, 52958, 50927, 78460, 52703, 50367, 53315, 62433, 51126, 53491, 52611, 50442, 51028, 57621, 53858, 50902, 60590, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 60520, 51114, 53401, 71817, 50448, 56928, 50927, 58849, 53166, 51399, 50865, 51069, 55675, 52703, 50371, 53315, 62433, 51126, 54599, 79104, 51068, 64360, 51146, 54896, 51205, 50878, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 56132, 51399, 67160, 51306, 50460, 51068, 50908, 52288, 51101, 51284, 51466, 51905, 51466, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 58059, 52703, 50371, 53315, 62433, 51126, 50415, 51146, 50865, 53214, 51129, 50418, 51068, 54213, 51399, 50865, 50944, 58243, 59072, 50836, 51840, 55250, 52087, 50372, 53315, 62433, 55155, 51719, 50822, 51249, 50822, 51818, 50822, 54227, 50971, 51971, 59795, 51306, 50424, 50999, 62752, 52976, 51069, 51101, 51558, 51466, 51384, 51466, 50801, 52703, 50365, 53315, 62433, 51126, 50428, 51114, 51091, 53649, 51129, 50430, 51068, 53814, 50944, 58243, 59072, 50836, 63479, 51719, 51803, 51249, 51803, 51457, 51803, 54091, 50870, 51760, 60349, 52087, 50373, 53315, 62433, 50836, 53198, 51129, 50436, 51068, 52958, 50927, 51101, 51905, 51466, 51733, 51466, 50801, 52703, 50372, 53315, 62433, 51126, 53491, 51129, 50442, 51068, 53858, 50944, 58243, 59072, 50836, 51149, 55250, 52087, 50375, 53315, 62433, 50836, 53721, 51004, 50448, 51114, 65665, 56340, 53166, 51399, 50809, 51814, 50865, 50927, 50866, 51733, 51466, 52487, 51466, 54227, 50870, 51971, 55170, 52703, 50369, 53315, 62433, 51126 ]

[ 0, 250, 15352, 30054, 3495, 1619, 1011, 625, 19, 11057, 16882, 6, 4246, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 9590, 6, 8, 3459, 8669, 4, 20, 2214, 16, 11, 274, 538, 19, 10, 7212, 20889, 9, 8017, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 272, 119, 406, 6, 230, 406, 6, 8, 1918, 406, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 50796, 54204, 51218, 51504, 52025, 50960, 51738, 52602, 51447, 51638, 51314, 51251, 51447, 50801, 53156, 59249, 50947, 51466, 50417, 51113, 51878, 50421, 69466, 50877, 58216, 72369, 50947, 65485, 55601, 60262, 50877, 50940, 51027, 50879, 50430, 52157, 76969, 51261, 54665, 51026, 51356, 50861, 51196, 68773, 52157, 51145, 51246, 53697, 50998, 51738, 50929, 51738, 52602, 51703, 51638, 51703, 51794, 51244, 51088, 51080, 51301, 51447, 51699, 78047, 53156, 63038, 51316, 55765, 50445, 51040, 51112, 50916, 51345, 50450, 51246, 51000, 50998, 50941, 50929, 50941, 51316, 50366, 51698, 53156, 63848, 51085, 50925, 51621, 70039, 50997, 51221, 50461, 50956, 51215, 66180, 50906, 51110, 53788, 51477, 51725, 52025, 51246, 51466, 51136, 51466, 52143, 51447, 51638, 51080, 51426, 51447, 51165, 51447, 51093, 51447, 50801, 53156, 59249, 50929, 52618, 50424, 64871, 69429, 50425, 50997, 75169, 53049, 51246, 50941, 51136, 65485, 55601, 56919, 50929, 71879, 51461, 73632, 50877, 51358, 51027, 51896, 50434, 51150, 50835, 51556, 52729, 51461, 51145, 51725, 53697, 51504, 53697, 50986, 51738, 52143, 51447, 51883, 51080, 51426, 51447, 51113, 51447, 51093, 51447, 50801, 53156, 63038, 51136, 51738, 50947, 61211, 50450, 51725, 51000, 51504, 51000, 50986, 50941, 51136, 65485, 53156, 57465, 50947, 51297, 51621, 50854, 59670, 51145, 50900, 51141, 51120, 51161, 51246, 52025, 50960, 51466, 50947, 51466, 52602, 51703, 51638, 51703, 51251, 51244, 51113, 51080, 51154, 51447, 51883, 78047, 53156, 59249, 51032, 52618, 50421, 50906, 66499, 63835, 55341, 72369, 50947, 65485, 55601, 56919, 51032, 71879, 50876, 50879, 51556, 61868, 50906, 59306, 52157, 51145, 50899, 73450, 50943, 51246, 51862, 50960, 51365, 51078, 51365, 51064, 51550, 52602, 51703, 51251, 51703, 51491, 51244, 51165, 51080, 51638, 78047, 53156, 64201, 50876, 55260, 50960, 50863, 51078, 50863, 51064, 50366, 51502, 53156, 57465, 50906, 51095, 50458, 51197, 51977, 50899, 51077, 50861, 51343, 51621, 50854, 55970, 51145, 52562, 52025, 50960, 51466, 50929, 51466, 52481, 51447, 51638, 51314, 51251, 51447, 50801, 53156, 59249, 51064, 52618, 50417, 51088, 51878, 50422, 50902, 51158, 65404, 50941, 50929, 65485, 55601, 60262, 51064, 66775, 50902, 62803, 51176, 51582, 63443, 50900, 76716, 51522, 51145, 50989, 51218, 52562, 51862, 50986, 51365, 51078, 51365, 51169, 51550, 53623, 51703, 52316, 51703, 51299, 51244, 51491, 51080, 51154, 51447, 53148, 78047, 53156, 57577, 50876, 70269, 50986, 50863, 51078, 50863, 51169, 50366, 51502, 53156, 53848, 50852, 62659, 51027, 51189, 59670, 51145, 51234, 51191, 51246, 53697, 50960, 51738, 50970, 51738, 52602, 51447, 51251, 51314, 51154, 51447, 50801, 53156, 59249, 51064, 55765, 50417, 51165, 51878, 50422, 50902, 77224, 51246, 51000, 72369, 50970, 50941, 51064, 50366, 51698, 55601, 57659, 73057, 51556, 52729, 52157, 51145, 51120, 51162, 51504, 53697, 50960, 51738, 52602, 51447, 51883, 51080, 51251, 51447, 51113, 51447, 51093, 51447, 50801, 53156, 63038, 50900, 51800, 50325, 50938, 50947, 51738, 50446, 51147, 58710, 51504, 51000, 72369, 50947, 65485, 53156, 64620, 50951, 50938, 51621, 70039, 50871, 51191, 51001, 51661, 51026, 51933, 51086, 51518, 53458, 51413, 51207, 53697, 51311, 51738, 51136, 51738, 52776, 51447, 52065, 51080, 51088, 51447, 51357, 51447, 51395, 51447, 50801, 53156, 59249, 50929, 55765, 53337, 51417, 51207, 51000, 51311, 50941, 51136, 50941, 50929, 50366, 51698, 55601, 57659, 50871, 51091, 50434, 54128, 74197, 51343, 51556, 52729, 51098, 51218, 51444, 52025, 51311, 51738, 51699, 51447, 51251, 51314, 51088, 51447, 50801, 53156, 63038, 50929, 51466, 50441, 51357, 51878, 50450, 51311, 50941, 50929, 65485, 53156, 57924, 54128, 72740, 51098, 50841, 51621, 50854, 59670, 51310, 51725, 52025, 50986, 51466, 50998, 51466, 52602, 51703, 51301, 51703, 51088, 51244, 51093, 51080, 51299, 78047, 53156, 62160, 51085, 52069, 51315, 52069, 50929, 52618, 66345, 50943, 50423, 50861, 51362, 50426, 50986, 50941, 50998, 65485, 55601, 56919, 50929, 65975, 50877, 56535, 52157, 50844, 52068, 50437, 50997, 52598, 50438, 51493, 51145, 51574, 53697, 51246, 51738, 50960, 51738, 55780, 51447, 51699, 51080, 51251, 51447, 51088, 51447, 51165, 51447, 50801, 53156, 63038, 50906, 51060, 50929, 55765, 50447, 50902, 51345, 50450, 51574, 51000, 51246, 50941, 72369, 50929, 50366, 51698, 53156, 50800, 51621, 70039, 50876, 52392, 53788, 50932, 51725, 52025, 51246, 51466, 51136, 51466, 52143, 51447, 51638, 51080, 51426, 51447, 51165, 51447, 51093, 51447, 50804, 51589, 59249, 50929, 52618, 61890, 63074, 51085, 51962, 50302, 51111, 50956, 62111, 57316, 51246, 50941, 51136, 56423, 60262, 51493, 51709, 50929, 65975, 50956, 51291, 50989, 51472, 51050, 51141, 53924, 52691, 51140, 51145, 51504, 51862, 51131, 51365, 51136, 51365, 51078, 51550, 52907, 51447, 51883, 51080, 51426, 51447, 51113, 51447, 51093, 51447, 50801, 53156, 50812, 53526, 52989, 51131, 50863, 51136, 50863, 51078, 56870, 51589, 50800, 55350, 63652, 76518, 54124, 50874, 59670, 51619, 50294, 51134, 51246, 52996, 50970, 52056, 50947, 52056, 50804, 62501, 50900, 51204, 50877, 50879, 51067, 55574, 50423, 50877, 54593, 53450, 52157, 51003, 51246, 67328, 64340, 50904, 51067, 50367, 51698, 50912, 51782, 51024, 52765, 50877, 67980, 50877, 52262, 50856, 52841, 51868, 73090, 51446, 51360, 51141, 51207, 51524, 51317, 51210, 50998, 51210, 51064, 63906, 50374, 52258, 50439, 50916, 51472, 50861, 51472, 50447, 51098, 54185, 52078, 51221, 51317, 50837, 50998, 69586, 50367, 51502, 55601, 51740, 52567, 51098, 56162, 60091, 51085, 51127, 50997, 51397, 55929, 50915, 51725, 52996, 51246, 52056, 51136, 52056, 51451, 61926, 62160, 50929, 55574, 51067, 55197, 51772, 50938, 51209, 50937, 64309, 51173, 50956, 58801, 64002, 51461, 51003, 51725, 50971, 51246, 50904, 51136, 50904, 50929, 50367, 51698, 50912, 67457, 56919, 51067, 57378, 50906, 68668, 58509, 50805, 55957, 52841, 51140, 51255, 51027, 51189, 51504, 52011, 50986, 51333, 51136, 51333, 51256, 50918, 50856, 55900, 50947, 52618, 50440, 50877, 51294, 50956, 51241, 50447, 57411, 54004, 51140, 51003, 70396, 51136, 55181, 56757, 50451, 50947, 56232, 50856, 50812, 59670, 60581, 51077, 51246, 51524, 50960, 51210, 50947, 51210, 51032, 51252, 51322, 51364, 50856, 59249, 51120, 51991, 51256, 51345, 50422, 67908, 50899, 58218, 52157, 55440, 51140, 50981, 50960, 63134, 80030, 50367, 51502, 55601, 56757, 50428, 50876, 70022, 78446, 50899, 50938, 52594, 50374, 52258, 50438, 52157, 50873, 51246, 52011, 50960, 51333, 51078, 51333, 51322, 51446, 51547, 51446, 50856, 63038, 51064, 52618, 50440, 50906, 51158, 50447, 52157, 56060, 51140, 50981, 70542, 51078, 63807, 55601, 56757, 50451, 50899, 52014, 50310, 64471, 51158, 51064, 56232, 50856, 50812, 55970, 50889, 52562, 51524, 50960, 51210, 50929, 51210, 51064, 58688, 62160, 50899, 51091, 73054, 72682, 51197, 51362, 50416, 51772, 51194, 50417, 51209, 65393, 52157, 62475, 51209, 50940, 51772, 52710, 51261, 51221, 50902, 54828, 50952, 50960, 76876, 69586, 50367, 51502, 50912, 51782, 51024, 68974, 50900, 51413, 51378, 51191, 50435, 52157, 63270, 64806, 78248, 50374, 52258, 50438, 51522, 50889, 51846, 52011, 50986, 51333, 51078, 51333, 51772, 51294, 50856, 63038, 51064, 52618, 50440, 51547, 50896 ]

[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 25771, 4785, 6, 1239, 5, 30443, 15, 10, 3366, 219, 6, 15352, 30054, 3251, 149, 980, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 24028, 30, 5, 3222, 5785, 9, 3459, 9590, 6, 3459, 13305, 6, 38668, 2236, 6, 38668, 483, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 5, 2125, 5705, 25614, 2629, 5, 33215, 16739, 9, 272, 119, 406, 8, 211, 119, 6, 2351, 10, 1472, 9, 30234, 1328, 63, 21734, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50903, 50838, 51768, 52718, 50903, 50838, 51955, 50838, 50799, 58065, 51801, 60608, 51801, 58004, 51801, 58471, 59201, 51921, 51000, 51039, 54090, 50864, 51186, 70337, 65128, 53354, 50864, 52111, 79567, 53354, 50864, 51302, 63314, 51011, 66937, 65128, 53354, 50864, 51999, 79567, 53354, 50864, 51974, 63314, 74960, 65128, 53354, 50864, 52224, 79567, 53354, 53945, 59201, 50945, 70337, 65128, 53354, 57917, 50852, 72405, 79567, 53354, 50864, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53354, 57291, 50852, 56375, 58504, 67359, 53354, 50904, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 53354, 50904, 52145, 58504, 67359, 53354, 55735, 59201, 51096, 70337, 67359, 53354, 50904, 52215, 58504, 67359, 53354, 50904, 51528, 63314, 52998, 67359, 53354, 50904, 51921, 58504, 67359, 53354, 77654, 54090, 50864, 51186, 70337, 77521, 53354, 50941, 52111, 58504, 77521, 53354, 50941, 51302, 63314, 52998, 77521, 53354, 50941, 51999, 58504, 77521, 53354, 50941, 51974, 63314, 74960, 77521, 53354, 50941, 52224, 58504, 77521, 53354, 54927, 59201, 50945, 70337, 77521, 53354, 63231, 50852, 72405, 58504, 77521, 53354, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 75532, 53354, 58554, 50852, 56375, 58504, 75532, 53354, 50971, 51382, 73413, 51104, 54090, 50864, 50945, 66937, 75532, 53354, 50971, 52145, 58504, 75532, 53354, 55835, 59201, 50953, 70337, 75532, 53354, 50971, 52215, 58504, 75532, 53354, 50971, 50799, 58065, 51243, 60608, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53354, 50971, 51921, 58504, 75532, 53354, 50971, 51039, 54090, 50864, 51186, 70337, 65128, 68730, 52111, 79567, 68730, 51302, 63314, 51011, 66937, 65128, 68730, 51999, 79567, 68730, 51974, 63314, 74960, 65128, 68730, 52224, 79567, 53844, 53945, 59201, 50945, 70337, 65128, 53844, 57917, 50852, 72405, 79567, 68730, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53844, 57291, 50852, 56375, 58504, 67359, 77512, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 77512, 52145, 58504, 67359, 53844, 55735, 59201, 51096, 70337, 67359, 77512, 52215, 58504, 67359, 77512, 50799, 58065, 51243, 58621, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53844, 50971, 51921, 58504, 77896, 68730, 51039, 54090, 50864, 51186, 70337, 77896, 68730, 52111, 58504, 77896, 68730, 51302, 63314, 52998, 77896, 68730, 51999, 58504, 50904, 53283, 50904, 77512, 51974, 63314, 74960, 50904, 53283, 50904, 77512, 52224, 58504, 50904, 53283, 50904, 53844, 54728, 59201, 50945, 70337, 50904, 53283, 50904, 53844, 61173, 50852, 72405, 58504, 50941, 53283, 50941, 53844, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 50941, 53283, 50941, 53844, 57298, 50852, 56375, 58504, 50941, 53283, 50941, 53844, 50941, 51382, 73413, 51104, 54090, 50864, 51096, 66937, 50941, 53283, 50941, 53844, 50941, 52145, 58504, 50971, 53283, 50971, 53844, 55835, 59201, 50964, 70337, 50971, 53283, 50971, 53844, 50971, 52215, 58504, 50971, 53283, 50971, 53844, 50971, 50799, 58065, 51801, 60608, 51801, 58004, 51801, 58471, 59201, 52998, 50971, 53283, 50971, 53844, 50971, 51921, 58504, 51000, 53283, 51000, 53844, 51000, 51039, 54090, 50864, 51186, 70337, 65128, 53354, 50864, 52111, 79567, 53354, 50864, 51302, 63314, 51011, 66937, 65128, 53354, 50864, 51999, 79567, 53354, 50864, 51974, 63314, 74960, 65128, 53354, 50864, 52224, 79567, 53354, 53945, 59201, 50945, 70337, 65128, 53354, 57917, 50852, 72405, 79567, 53354, 50864, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53354, 57291, 50852, 56375, 58504, 67359, 53354, 50904, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 53354, 50904, 52145, 58504, 67359, 53354, 55735, 59201, 51096, 70337, 67359, 53354, 50904, 52215, 58504, 67359, 53354, 50904, 51528, 63314, 52998, 67359, 53354, 50904, 51921, 58504, 67359, 53354, 77654, 54090, 50864, 51186, 70337, 77521, 53354, 50941, 52111, 58504, 77521, 53354, 50941, 51302, 63314, 52998, 77521, 53354, 50941, 51999, 58504, 77521, 53354, 50941, 51974, 63314, 74960, 77521, 53354, 50941, 52224, 58504, 77521, 53354, 54927, 59201, 50945, 70337, 77521, 53354, 63231, 50852, 72405, 58504, 77521, 53354, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 75532, 53354, 58554, 50852, 56375, 58504, 75532, 53354, 50971, 51382, 73413, 51104, 54090, 50864, 50945, 66937, 75532, 53354, 50971, 52145, 58504, 75532, 53354, 55835, 59201, 50953, 70337, 75532, 53354, 50971, 52215, 58504, 75532, 53354, 50971, 50799, 58065, 51243, 60608, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53354, 50971, 51921, 58504, 75532, 53354, 50971, 51039, 54090, 50864, 51186, 70337, 65128, 68730, 52111, 79567, 68730, 51302, 63314, 51011, 66937, 65128, 68730, 51999, 79567, 68730, 51974, 63314, 74960, 65128, 68730, 52224, 79567, 53844, 53945, 59201, 50945, 70337, 65128, 53844, 57917, 50852, 72405, 79567, 68730, 52129, 73413, 51104, 57656, 50864, 74960, 67359, 53844, 57291, 50852, 56375, 58504, 67359, 77512, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 77512, 52145, 58504, 67359, 53844, 55735, 59201, 51096, 70337, 67359, 77512, 52215, 58504, 67359, 77512, 50799, 58065, 51243, 58621, 51243, 65050, 51243, 58471, 59201, 52998, 75532, 53844, 50971, 51921, 58504, 77896, 68730, 51039, 54090, 50864, 51186, 70337, 77896, 68730, 52111, 58504, 77896, 68730, 51302, 63314, 52998, 77896, 68730, 51999, 58504, 50904, 53283, 50904, 77512, 51974, 63314, 74960, 50904, 53283, 50904, 77512, 52224, 58504, 50904, 53283, 50904, 53844, 54728, 59201, 50945, 70337, 50904, 53283, 50904, 53844, 61173, 50852, 72405, 58504, 50941, 53283, 50941, 53844, 50941, 52129, 73413, 51104, 57656, 50864, 74960, 50941, 53283, 50941, 53844, 57298, 50852, 56375, 58504, 50941, 53283, 50941, 53844, 50941, 51382, 73413, 51104, 54090, 50864, 51096, 66937, 50941, 53283, 50941, 53844, 50941, 52145, 58504, 50971, 53283, 50971, 53844, 55835, 59201, 50964, 70337, 50971, 53283, 50971, 53844, 50971, 52215, 58504, 50971, 53283, 50971, 53844, 50971, 50799, 58065, 51801, 60608, 51801, 58004, 51801, 58471, 59201, 52998, 50971, 53283, 50971, 53844, 50971, 51921, 58504, 51000, 53283, 51000, 53844, 51000, 51039, 54090, 76128, 51186, 70337, 65128, 53354, 50864, 52111, 79567, 53354, 50864, 51302, 63314, 51011, 66937, 65128, 53354, 50864, 51999, 79567, 53354, 50864, 51974, 63314, 74960, 65128, 53354, 50864, 52224, 79567, 53354, 53945, 59201, 50945, 70337, 65128, 53354, 57917, 50852, 72405, 79567, 53354, 50864, 52129, 73413, 51104, 57656, 76128, 74960, 67359, 53354, 57291, 50852, 56375, 58504, 67359, 53354, 50904, 51382, 73413, 51104, 54090, 50864, 74960, 67359, 53354, 50904, 52145, 58504, 67359, 53354, 55735, 59201, 51096, 70337, 67359, 53354, 50904, 52215, 58504, 67359, 53354, 50904, 51528, 63314, 52998, 67359, 53354, 50904, 51921, 58504, 67359, 53354, 77654, 54090, 76128, 51186, 70337, 77521, 53354, 50941, 52111, 58504, 77521, 53354, 50941, 51302, 63314, 52998, 77521, 53354, 50941, 51999, 58504, 77521, 53354, 50941, 51974, 63314, 74960, 77521, 53354, 50941, 52224, 58504, 77521, 53354, 54927, 59201, 50945, 70337, 77521, 53354, 63231, 50852, 72405, 58504, 77521, 53354, 50941, 52129, 73413, 51104, 57656, 76128, 74960, 75532, 53354, 58554, 50852, 56375, 58504, 75532, 53354, 50971, 51382, 73413, 51104, 54090, 50864, 50945, 66937, 75532, 53354, 50971, 52145, 58504 ]

[ 0, 250, 8787, 3495, 8, 3152, 24904, 2125, 6, 42, 15352, 30054, 15229, 30853, 23, 41, 178, 5285, 2877, 11, 163, 3694, 4, 11281, 33938, 8, 3459, 29589, 45552, 833, 19, 21979, 8669, 6, 150, 31391, 1672, 9590, 8, 13602, 6757, 694, 5581, 4, 20, 16331, 33215, 16739, 9, 272, 6, 211, 6, 3676, 6, 274, 10431, 6, 8, 163, 119, 31473, 10, 43580, 3693, 935, 6, 7630, 14805, 10, 5679, 26709, 8, 2829, 2933, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 51042, 53677, 53677, 50991, 61947, 51151, 54676, 51151, 53205, 51151, 54921, 51717, 51374, 51469, 50415, 51042, 53677, 55990, 50967, 68823, 50935, 50967, 50935, 50967, 51149, 50967, 68623, 51042, 50983, 51042, 50983, 50416, 51149, 61766, 51042, 53677, 60751, 51042, 53677, 53471, 53449, 50424, 50847, 51631, 50868, 63031, 61857, 50868, 63031, 57102, 50935, 74212, 50935, 51736, 51042, 51496, 50868, 51358, 50433, 51042, 51496, 50868, 51358, 50435, 50847, 58480, 50847, 51724, 51149, 55278, 50983, 50439, 51149, 55278, 58624, 50847, 63031, 63551, 50847, 63031, 53312, 50850, 57618, 61393, 50850, 57618, 50795, 74776, 51124, 50979, 51103, 57931, 51036, 56676, 51036, 57537, 51036, 53256, 50918, 51910, 51184, 62951, 51124, 50979, 66526, 50850, 53006, 50914, 50421, 50850, 53006, 50914, 50423, 50935, 60809, 50935, 51620, 50935, 60877, 61156, 50935, 60877, 54253, 51840, 50849, 50430, 51840, 53308, 50850, 53006, 51358, 50433, 50850, 53006, 51358, 50435, 50935, 58480, 50935, 51724, 50979, 50918, 50979, 71365, 51103, 50935, 50918, 50439, 50979, 50918, 50979, 71365, 51103, 50935, 50918, 57342, 56378, 50918, 61018, 51036, 54476, 51036, 57537, 51036, 53256, 51036, 51181, 73010, 50848, 56378, 54994, 50850, 55219, 79490, 50850, 55219, 59573, 51007, 79818, 51007, 51631, 52982, 51007, 61156, 52982, 51007, 54253, 59792, 50430, 51149, 51736, 50847, 55792, 50807, 50433, 50847, 55792, 62369, 51007, 50991, 50436, 51007, 60847, 50848, 56378, 61298, 50848, 56378, 53218, 50850, 55219, 50914, 50445, 50850, 55219, 50914, 50447, 51007, 50991, 50448, 51007, 59323, 50946, 60049, 63551, 50946, 60049, 53312, 50850, 55219, 66604, 50850, 55219, 62355, 61095, 50460, 61095, 63649, 52017, 61070, 51036, 54676, 51036, 53205, 51036, 54921, 51036, 51349, 51469, 50415, 51017, 52017, 60474, 53677, 60751, 50868, 53677, 53471, 53449, 50424, 50847, 51631, 50868, 55969, 61156, 50868, 55969, 54253, 50935, 74212, 50935, 51736, 50868, 55990, 51358, 50433, 50868, 55990, 51358, 50435, 50935, 62657, 50935, 52841, 50847, 51551, 51149, 50918, 50832, 57270, 50847, 51551, 51149, 50918, 50832, 63442, 69536, 52260, 50829, 56568, 53162, 50832, 56892, 69536, 57730, 57136, 69536, 56584, 57059, 69536, 59007, 58310, 50983, 58899, 51036, 54676, 51036, 53205, 51036, 52892, 51036, 51338, 73010, 50868, 58310, 60055, 50868, 53677, 60751, 50868, 53677, 53471, 53449, 50424, 50847, 51631, 50868, 53677, 78958, 50868, 53677, 73055, 56696, 50430, 50909, 51736, 50885, 55787, 50914, 50433, 50885, 55787, 50914, 50435, 50847, 58480, 50847, 51724, 51149, 50991, 61191, 50439, 51149, 50991, 50847, 56157, 50885, 53677, 59513, 50885, 53677, 53658, 80142, 50448, 50909, 59323, 50848, 56954, 57465, 50848, 56954, 52809, 50868, 55729, 51427, 50454, 50868, 55729, 73976, 50847, 50800, 52982, 50457, 50847, 50800, 52982, 50459, 50909, 59342, 50909, 50800, 64170, 57618, 56611, 50983, 74024, 58148, 51036, 54476, 51036, 53205, 51036, 54921, 51036, 54311, 51184, 65751, 57618, 56611, 50983, 50848, 60055, 51439, 50800, 53449, 50421, 51439, 50800, 53449, 50423, 50935, 65366, 50935, 52710, 50847, 59724, 50983, 65530, 59724, 50983, 50429, 70552, 50430, 51439, 51736, 50848, 56611, 60121, 50848, 56611, 53505, 50935, 58480, 50935, 51724, 60087, 59687, 72701, 50983, 50439, 60087, 59687, 72701, 60865, 51439, 54190, 50807, 50445, 51439, 54190, 62902, 50935, 60972, 50935, 51757, 71576, 50988, 51090, 50451, 71576, 50988, 63962, 50848, 56611, 66604, 50848, 56611, 62355, 50935, 59342, 50935, 50800, 57377, 50914, 50946, 52266, 61070, 51036, 54676, 51036, 53205, 51036, 52892, 51036, 51844, 51184, 51065, 54925, 75103, 50946, 52266, 60474, 55729, 79490, 50868, 55729, 59573, 50847, 50849, 50424, 50847, 53466, 50868, 55914, 51065, 56171, 50868, 55914, 50429, 56696, 50430, 50909, 51736, 50868, 55501, 50807, 50433, 50868, 55501, 62369, 50909, 58480, 50909, 51724, 56696, 51149, 50991, 51065, 56484, 56696, 51149, 62478, 50868, 51090, 74648, 79581, 51090, 74648, 50447, 71576, 50448, 50847, 67081, 79874, 51217, 51090, 51065, 56086, 79874, 51217, 63962, 50868, 59747, 50868, 52567, 50935, 59342, 50935, 50800, 64933, 51541, 51042, 51036, 57931, 51036, 56676, 51036, 57537, 51036, 53256, 51036, 54921, 51036, 51857, 51184, 51065, 54925, 51042, 51541, 51042, 56100, 50979, 59897, 60751, 50979, 59897, 53471, 50850, 60809, 50850, 51620, 50850, 53006, 53872, 56171, 50850, 53006, 54253, 51042, 51161, 50430, 51042, 73078, 50979, 59897, 68233, 50979, 59897, 58926, 50850, 58480, 50850, 51724, 50850, 50918, 51840, 50918, 51065, 56484, 50850, 50918, 51840, 56811, 51065, 50818, 64933, 53677, 53677, 50991, 51042, 51496, 61947, 51036, 54676, 51036, 53205, 51036, 54921, 51492, 51374, 51184, 50856, 55731, 51054, 54826, 69171, 57988, 57988, 51042, 53677, 55990, 51110, 72976, 50935, 50967, 50935, 50967, 51149, 50967, 68623, 51042, 51496, 50416, 51149, 61766, 51042, 53677, 79490, 51042, 53677, 59573, 50847, 50849, 50424, 50847, 53466, 50868, 53677, 62550, 56171, 50868, 53677, 57102, 50935, 74212, 50935, 51736, 51042, 51189, 50868, 52282, 50433, 51042, 51189, 50868, 52282, 50435, 50847, 58480, 50847, 51724, 51149, 50914, 74648, 51065, 50818, 56430, 50896, 50439, 51149, 50914, 50847, 58624, 50847, 55501, 62550, 50818, 59443, 50896, 50451, 50847, 55501, 53312, 50850, 57618, 61393, 50850, 57618, 50795, 74776, 51124, 50979, 50918, 57931, 51036, 56676, 51036, 57537, 51036, 53256, 50918, 51910, 52017, 50856, 55731, 51054, 56430, 51274, 62951, 51124, 50979, 54994, 50850, 53006, 51090, 50421, 50850, 53006, 51090, 50423, 50935, 60809, 50935, 51620, 50935, 60877, 53872, 56171, 50935, 60877, 54253, 51840, 74212, 51840, 51736, 50850, 53006, 51358, 54826, 69988, 50850, 53006, 51358, 50435, 50935, 62657, 50935, 52841, 50979, 50918, 50979, 51551, 50850, 50918, 50935, 50918, 51065, 50818, 62266, 51196, 50439, 50979, 50918, 50979, 51551, 50850, 50918, 50935, 56811, 51065, 50818, 57342, 50914, 50848, 51551, 61018, 51036, 54476, 51036, 57537, 51036, 53256, 51036, 51181, 51184, 50856, 55731, 51054, 62266, 69171, 62197, 50848, 77784, 50850, 55219, 60751, 50850, 55219, 53471, 51007, 79818, 51007, 51631, 50848, 71899, 69012, 50848, 71899, 60412, 59792, 50430, 51149, 51736, 50847, 56548, 50914, 50433, 50847, 56548, 50914, 50435, 51007, 50991, 50436, 51007, 60847, 50848, 56378, 51090, 54826, 51090, 50439, 50848, 56378, 63437, 50850, 55219, 50807, 50445, 50850, 55219, 62902, 51007, 50991, 50448, 51007, 59323, 50946, 60049, 51090, 56430, 51090, 50451, 50946, 60049, 63962, 50850, 55219, 66604, 50850, 55219, 62355, 61095, 50460, 61095, 63649, 51036, 61070, 51036, 54676, 51036, 53205, 51036, 54921, 51036, 51349, 52017, 51065, 51054, 62528, 50911, 50415, 51017, 64163, 56941, 51427, 60474, 53677, 50911, 56430, 77287, 50868, 53677, 78443, 53449, 62528, 50911, 50424, 50847, 51631, 50868, 55969, 53872, 51460, 56941, 52266, 50427, 50868, 55969, 54253, 50935, 50795, 56430, 74875, 50935, 51736, 50868, 55990, 51977, 62528, 75405, 50868, 55990, 51977, 50435, 50935, 53521, 50949, 56430, 50882, 50436, 50935, 53521, 71150, 51065, 54968, 50847, 51551, 51149, 51103, 51065, 51460, 65778, 51551, 50439, 50847, 51551, 51149, 51103, 50447, 51065, 72989, 51065, 71928, 51065, 55245, 51065, 51460, 50459, 51065, 50949, 50460, 51065 ]

[ 0, 250, 20902, 3495, 8, 5175, 2214, 14, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 15352, 30054, 15229, 4, 20, 13305, 6, 38668, 20535, 6, 2382, 3459, 8669, 6, 8, 6755, 12547, 283, 561, 7, 1045, 10, 33558, 8, 2365, 12, 6928, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 9, 17072, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 51658, 50853, 50618, 56385, 53222, 56353, 58073, 53563, 53222, 57841, 58073, 50895, 50799, 52685, 51192, 52107, 51192, 52730, 51192, 67499, 51160, 54326, 50980, 56361, 51500, 51206, 53971, 50817, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 50938, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 50918, 54992, 51148, 51876, 51030, 52399, 50961, 51280, 50940, 51144, 51014, 51119, 52422, 51068, 54473, 50883, 51876, 58465, 51280, 50858, 51144, 50821, 51119, 52686, 50843, 59873, 51876, 50884, 51658, 51031, 53391, 51103, 52888, 51047, 53873, 51127, 51198, 50921, 51099, 50921, 51308, 60224, 51068, 53500, 53759, 50883, 51869, 57782, 51198, 50921, 51099, 51033, 51308, 58631, 51068, 52538, 57886, 51869, 55577, 50843, 50883, 51198, 50880, 51099, 50930, 51308, 50880, 51755, 50817, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 50938, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 51291, 54992, 51535, 51876, 51021, 52399, 50961, 51280, 50930, 51144, 50880, 51119, 53087, 51068, 54473, 50883, 51876, 63043, 51280, 50940, 51144, 50882, 51119, 52686, 50843, 55622, 55699, 50923, 51555, 51021, 51479, 50884, 51026, 53108, 50311, 72336, 57330, 50887, 51783, 51239, 64200, 50366, 53746, 50928, 51050, 53108, 50309, 51819, 51618, 64200, 53068, 55699, 50923, 51555, 51030, 52574, 52439, 50381, 53746, 50846, 51026, 53108, 50311, 64109, 57330, 50821, 51783, 54020, 50898, 50818, 51050, 53108, 50309, 51819, 50799, 51612, 54089, 52685, 51192, 52107, 51192, 52730, 51192, 51206, 53971, 50817, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 67922, 57422, 50415, 54326, 50980, 56361, 51500, 67499, 50980, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 50918, 54992, 51148, 51876, 51030, 52399, 50961, 51280, 50940, 51144, 51014, 51119, 52422, 51068, 54473, 50883, 51876, 58465, 51280, 50858, 51144, 50821, 51119, 52686, 50843, 59873, 51876, 50884, 51658, 51031, 53391, 51103, 52888, 51047, 53873, 51127, 51198, 50921, 51099, 50921, 51308, 60224, 51068, 53500, 53759, 50883, 51869, 57782, 51198, 50921, 51099, 51033, 51308, 58631, 51068, 52538, 57886, 51869, 55577, 50843, 50883, 51198, 50880, 51099, 50930, 51308, 50880, 50799, 51612, 54484, 58074, 53391, 51036, 52888, 51077, 53873, 51036, 53366, 50830, 51869, 67922, 78197, 52399, 50949, 51198, 50880, 51099, 50895, 51308, 54392, 70050, 50949, 53366, 50840, 51869, 58967, 51198, 50821, 51099, 50882, 51308, 52686, 50843, 57244, 53366, 50836, 51869, 50840, 51658, 50817, 54669, 51127, 51561, 50948, 51099, 50940, 51308, 50936, 54032, 50949, 52746, 56156, 51561, 50858, 51099, 50880, 51308, 53153, 51068, 54473, 57886, 52746, 54450, 50843, 50961, 51561, 50890, 51099, 50883, 51308, 50962, 51755, 50817, 52689, 51077, 53686, 51291, 54992, 51535, 51876, 51021, 52399, 50961, 51280, 50930, 51144, 50880, 51119, 53087, 51068, 54473, 50883, 51876, 63043, 51280, 50940, 51144, 50882, 51119, 52686, 50843, 50961, 53357, 50384, 61093, 55089, 51695, 55757, 58073, 51467, 52878, 51722, 51388, 51612, 51388, 52290, 50923, 53222, 54094, 53989, 53766, 50961, 50906, 55177, 50902, 55177, 50951, 55177, 50447, 58073, 51139, 53409, 53222, 55089, 55255, 56246, 51584, 51030, 51567, 50911, 52037, 64800, 64890, 55177, 50876, 55177, 50931, 55177, 50456, 51326, 54625, 51289, 50895, 52563, 51388, 54307, 53073, 51722, 51566, 51612, 51566, 52290, 51566, 52685, 51192, 52107, 51192, 52730, 51192, 51335, 54376, 50817, 71671, 51099, 50911, 51308, 61505, 53700, 50902, 53700, 50951, 53700, 50415, 54326, 50980, 56361, 51500, 67499, 50980, 51039, 68204, 50846, 51193, 50895, 51185, 54579, 50953, 50962, 52093, 79873, 51099, 50884, 51308, 52639, 50801, 73583, 55212, 51198, 50883, 51099, 50883, 51308, 50884, 51020, 50895, 51193, 50895, 51185, 52209, 50953, 51130, 53442, 51105, 51388, 58074, 51561, 50806, 51099, 51173, 51308, 50806, 51341, 51158, 51020, 51158, 51193, 51158, 51180, 54525, 74041, 51479, 50841, 51561, 50887, 51099, 50846, 74603, 51341, 68204, 50828, 51193, 52555, 51068, 52538, 53563, 74041, 51479, 50828, 51144, 50967, 51119, 51235, 51153, 51175, 51061, 51178, 51023, 50991, 51092, 50991, 52354, 51138, 51783, 50940, 51584, 50800, 51567, 50821, 52037, 53287, 50817, 50871, 55044, 50877, 55044, 50876, 55044, 50931, 55044, 50420, 51783, 50887, 51584, 50809, 51567, 50890, 52037, 51421, 50820, 51144, 50883, 51119, 50961, 51153, 50895, 51061, 50895, 68244, 51092, 71581, 52992, 68171, 51783, 51014, 51584, 50921, 51567, 50894, 52037, 53558, 73583, 67805, 52925, 51783, 50890, 51584, 50809, 51567, 50890, 52037, 50890, 52093, 50435, 51783, 50940, 51584, 50952, 51567, 50940, 52037, 50952, 53357, 51286, 58074, 51394, 50880, 53089, 59779, 51099, 50895, 51308, 50961, 51275, 50884, 51020, 50895, 51193, 50895, 51185, 53885, 51555, 50923, 51722, 50893, 51612, 50923, 52290, 50806, 52107, 51130, 50841, 51384, 50961, 50861, 55177, 50906, 55177, 50902, 55177, 50951, 55177, 50447, 63485, 52544, 54441, 76967, 51690, 54755, 52730, 61474, 52538, 50883, 51926, 55726, 51722, 51021, 51612, 50936, 52290, 51021, 53755, 51030, 54326, 50890, 53089, 50890, 51099, 50884, 51308, 50895, 51275, 68204, 50895, 51193, 50895, 51185, 50883, 50906, 55177, 50902, 55177, 50951, 55177, 51081, 55177, 50456, 51186, 50821, 52730, 54452, 64707, 51926, 59022, 52544, 50880, 51690, 50841, 52563, 50923, 51555, 51362, 51722, 50896, 51612, 51090, 52290, 51090, 52730, 52195, 58074, 51926, 50890, 75916, 51308, 50806, 51275, 56294, 53700, 50906, 53700, 50902, 53700, 50951, 53700, 51039, 50846, 51262, 50895, 51020, 73938, 50883, 51185, 50818, 51510, 50828, 51099, 50895, 51308, 50818, 51275, 50884, 51250, 53425, 50953, 51460, 50801, 73583, 50883, 51543, 58288, 51099, 50961, 51308, 50961, 51275, 50883, 51543, 74716, 50895, 51193, 75252, 73177, 50846, 51250, 54968, 51105, 51286, 58074, 51561, 51388, 51099, 51192, 51308, 51286, 51543, 50923, 51341, 51173, 51020, 51060, 51193, 51192, 51180, 54525, 71597, 51479, 50841, 51561, 50895, 51099, 50846, 51308, 50880, 51543, 50880, 51341, 50895, 60572, 51193 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 5466, 6, 17407, 30, 63, 9066, 8, 3722, 223, 34693, 4, 20, 20535, 2810, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 1893, 43639, 283, 561, 7, 1045, 10, 13363, 28191, 33301, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 1769, 20889, 9, 21448, 13410, 228, 2289, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 272, 401, 6, 230, 6, 8, 274, 12748, 5, 46336, 4811, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 51648, 50838, 53170, 51080, 55479, 75856, 51776, 52688, 51648, 53052, 51776, 52718, 51648, 50838, 53170, 55608, 51776, 53086, 51648, 52985, 51888, 50838, 52306, 51080, 55479, 51592, 50456, 51776, 50838, 58402, 51888, 54177, 51776, 52688, 51888, 50838, 52306, 53052, 53170, 52718, 52578, 50838, 52002, 51080, 52449, 51592, 50444, 51648, 52985, 52578, 53581, 51648, 50838, 58402, 51648, 50838, 52991, 56115, 52002, 53004, 52578, 53591, 51648, 52580, 52099, 50838, 53388, 51592, 50432, 52310, 52718, 52099, 63323, 52578, 52985, 53170, 53581, 52002, 50838, 58402, 51776, 50838, 53559, 75856, 51888, 52688, 51776, 53052, 53170, 52718, 54409, 55608, 53170, 53086, 51776, 54043, 51888, 52989, 52366, 51080, 53559, 51592, 50456, 51683, 50838, 58402, 51776, 54177, 51683, 52688, 51776, 50838, 52366, 55665, 51683, 52718, 51713, 50838, 52002, 51283, 52495, 51592, 50444, 51683, 52985, 51713, 53581, 51776, 50838, 58402, 51776, 56115, 51713, 53004, 51888, 53591, 51683, 52580, 55497, 51680, 52449, 79309, 52681, 52718, 52449, 73196, 52681, 52985, 55497, 55116, 52449, 56109, 52681, 50838, 52449, 51801, 58402, 55497, 51801, 52248, 52826, 52269, 52826, 52889, 52826, 50450, 51713, 50932, 65167, 50932, 58402, 52002, 50932, 57619, 54869, 52306, 50932, 54783, 54498, 54822, 51592, 54978, 51592, 52495, 51592, 50450, 52002, 50932, 52306, 50932, 58402, 52002, 50932, 52306, 54869, 56582, 51592, 54067, 51592, 52239, 51592, 50438, 52366, 50932, 52991, 54980, 52366, 50932, 52991, 50932, 58402, 54409, 50932, 54560, 50932, 52269, 67778, 51888, 50932, 51776, 50932, 52991, 50932, 54699, 55665, 54409, 51283, 54560, 64025, 51888, 50932, 51776, 54980, 52991, 51283, 54699, 51283, 52681, 51592, 58402, 51713, 50932, 52366, 57410, 54409, 50838, 54560, 52688, 51713, 50932, 52366, 50932, 52991, 50932, 54699, 54498, 52306, 51592, 54783, 51592, 52495, 51592, 50450, 51713, 50932, 52002, 50932, 58402, 51713, 50932, 52002, 54869, 51913, 50932, 51713, 50932, 65167, 50932, 52495, 51592, 50438, 51683, 50932, 51776, 50932, 57964, 54980, 51713, 50932, 52002, 50932, 57619, 50932, 58402, 52306, 51592, 54783, 51592, 53856, 67778, 51888, 50932, 52002, 54498, 51888, 50932, 52002, 54980, 52991, 51592, 54699, 51592, 52706, 51592, 58402, 51713, 50932, 52002, 54869, 51713, 50932, 52002, 54498, 51648, 51283, 51776, 51283, 52306, 51283, 54783, 51283, 55479, 51592, 50456, 51776, 50838, 57964, 50838, 58402, 52310, 50932, 51648, 50932, 51776, 50932, 57964, 54869, 51776, 51592, 57964, 51592, 52822, 51592, 50438, 51683, 50932, 51888, 54980, 51683, 50932, 51888, 50932, 58402, 52822, 67778, 51683, 50932, 51888, 50932, 51776, 54498, 51683, 50932, 51888, 50932, 51776, 54980, 52306, 50932, 54783, 50932, 55497, 51801, 58402, 51683, 50932, 51713, 50932, 52002, 50932, 57619, 54869, 51713, 50932, 52002, 50932, 52306, 50932, 54783, 54498, 54822, 51592, 54978, 51592, 53427, 51592, 50450, 52366, 50932, 52991, 50932, 58402, 52366, 50932, 52991, 54869, 52991, 51592, 54699, 51592, 53427, 51592, 50438, 51713, 50932, 52366, 54980, 51713, 50932, 52366, 50932, 58402, 52306, 50932, 54783, 50932, 55497, 51801, 50426, 51683, 51080, 51713, 51080, 52002, 50932, 57619, 54498, 51776, 50932, 57964, 54980, 51713, 51592, 65167, 51592, 52706, 51592, 58402, 51913, 50932, 51648, 54869, 51913, 50932, 51648, 54498, 51776, 51592, 57964, 51592, 55479, 51592, 50450, 52310, 50932, 51648, 50932, 58402, 52310, 50932, 51648, 54869, 52002, 50932, 57619, 50932, 52822, 51592, 50438, 51683, 50932, 51888, 50932, 51776, 50932, 57964, 54980, 51683, 50932, 51888, 50932, 52002, 50932, 57619, 50932, 58402, 52306, 51592, 54783, 51592, 55497, 51801, 50426, 51713, 50932, 52002, 54498, 51713, 50932, 52002, 54980, 52991, 51592, 54699, 51592, 53427, 51592, 58402, 51713, 50932, 52366, 54869, 51713, 50932, 52366, 54498, 51888, 51592, 51776, 50932, 57964, 50932, 52822, 66405, 52002, 50932, 57619, 51283, 58402, 52002, 50838, 52822, 57410, 51776, 50838, 57964, 52688, 51683, 50838, 52002, 51080, 65167, 51592, 55497, 52826, 50432, 51713, 52718, 51683, 53624, 51713, 52985, 51683, 50838, 52002, 55371, 51713, 53176, 51683, 50838, 51683, 53233, 58402, 51648, 50838, 52366, 51080, 55497, 51801, 50420, 51713, 52688, 51648, 53052, 51713, 52718, 51648, 50932, 52366, 53624, 52002, 52985, 51888, 50838, 51776, 51080, 52822, 51592, 50456, 51683, 51283, 58402, 51888, 54177, 51683, 54869, 51683, 50932, 52306, 54889, 51776, 52739, 51888, 53720, 51683, 51801, 50438, 52425, 50838, 53856, 51592, 50444, 51913, 52985, 52425, 51080, 50456, 51888, 50838, 58402, 52002, 54177, 51776, 52688, 51713, 50838, 52706, 51592, 50432, 51913, 52718, 51648, 53624, 51888, 52985, 51713, 53581, 51648, 50838, 58402, 51888, 51080, 52822, 75856, 51963, 52688, 51683, 51801, 50432, 51963, 52718, 51906, 50838, 51888, 53624, 51963, 52985, 51913, 50838, 51713, 51592, 52822, 51592, 50456, 51906, 50838, 58402, 51913, 54177, 51906, 52688, 51913, 53052, 51906, 52718, 51683, 51801, 51713, 51592, 52366, 51592, 52822, 51592, 58402, 50426, 51713, 50932, 65167, 54498, 52002, 50932, 57619, 54980, 52306, 50932, 54783, 50932, 58402, 54822, 51592, 54978, 51592, 55497, 51801, 50426, 52002, 50932, 52306, 54498, 52002, 50932, 52306, 54980, 56582, 51592, 54067, 51592, 55479, 51592, 58402, 52366, 50932, 52991, 54869, 52366, 50932, 52991, 54498, 54409, 50932, 54560, 50932, 52822, 51592, 50450, 51888, 50932, 51776, 50932, 52991, 50932, 54699, 56109, 54409, 51283, 54560, 51283, 58402, 51888, 50932, 51776, 54869, 52991, 51283, 54699, 51283, 53427, 51592, 50438, 51713, 50932, 52366, 56350, 54409, 50838, 54560, 52985, 51713, 50932, 52366, 50932, 52991, 50932, 54699, 50932, 58402, 52306, 51592, 54783, 51592, 52495, 67778, 51713, 50932, 52002, 54498, 51713, 50932, 52002, 54980, 51913, 50932, 51713, 50932, 65167, 50932, 52495, 51592, 58402, 51683, 51801, 51776, 50932, 57964, 54869, 51713, 50932, 52002, 50932, 57619, 54498, 52306, 51592, 54783, 51592, 53856, 51592, 50450, 51888, 50932, 52002, 50932, 58402, 51888, 50932, 52002, 54869, 52991, 51592, 54699, 51592, 52706, 51592, 50438, 51713, 50932, 52002, 54980, 51713, 50932, 52002, 50932, 58402, 51648, 51283, 51776, 51283, 52306, 51283, 54783, 51283, 55479, 51592, 50432, 51776, 50838, 57964, 52718, 52310, 50932, 51648, 50932, 51776, 50932, 57964, 54980, 51776, 51592, 57964, 51592, 52822, 51592, 58402, 51683, 51080, 51888, 54869, 51683, 51592, 51888, 54498, 52822, 51592, 50450, 51683, 51080, 51888, 50932, 51776, 50932, 58402, 51683, 51592, 51888, 50932, 51776, 54869, 52306, 50932, 54783, 50932, 55497, 51801, 50438, 51683, 51801, 51713, 50932, 52002, 50932, 57619, 54980, 51713, 50932, 52002, 50932, 52306, 50932, 54783, 50932, 58402, 54822, 51592, 54978, 51592, 53427, 67778, 52366, 50932, 52991, 54498, 52366, 50932, 52991, 54980, 52991, 51592, 54699, 51592, 53427, 51592, 58402, 51713, 50932, 52366, 54869, 51713, 50932, 52366, 54498, 52306, 50932, 54783, 50932, 55497, 51801, 50450, 51683, 51801, 51713, 51080, 52002, 50932, 57619, 50932, 58402, 51776, 50932, 57964, 54869, 51713, 51592, 65167, 51592, 52706, 51592, 50438, 51913, 50932, 51648, 54980, 51913, 50932, 51648, 50932, 58402, 51776, 51592, 57964, 51592, 55479, 67778, 52310, 50932, 51648, 54498, 52310, 50932, 51648, 54980, 52002, 50932, 57619 ]

[ 0, 250, 765, 37903, 9, 15855, 19834, 930, 6, 4246, 10, 6755, 12547, 6, 1893, 43639, 6, 13305, 6, 21072, 6, 8, 7213, 19258, 6648, 337, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 7630, 6568, 41, 9066, 8, 25306, 5466, 6, 10686, 13, 814, 50, 4149, 5422, 4, 20, 20299, 29769, 198, 10, 13931, 9, 230, 6, 83, 6, 211, 119, 6, 8, 272, 73, 495, 40286, 6, 1271, 7, 5, 11653, 8, 822, 12, 3341, 1318, 9, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 51711, 50824, 52626, 50824, 51656, 51745, 51743, 51745, 51711, 51745, 54720, 51870, 50415, 55025, 50811, 50876, 58297, 54235, 50930, 50421, 54235, 56299, 55025, 50961, 50424, 54235, 80148, 52626, 50824, 59151, 54107, 55025, 50895, 51062, 71030, 54235, 64362, 54235, 73247, 55025, 72090, 54235, 59382, 55025, 61023, 55430, 51870, 50436, 54235, 50883, 52735, 50824, 57204, 50824, 50437, 55025, 51014, 51838, 51745, 50438, 51081, 50824, 51881, 50949, 52332, 50824, 51656, 51237, 50439, 54235, 60464, 54235, 69824, 55025, 69354, 55025, 65866, 52430, 50824, 50448, 54235, 50949, 55815, 51059, 50449, 55025, 77698, 63399, 54235, 56353, 54235, 66222, 55025, 70000, 54235, 64963, 55025, 57841, 53129, 50824, 53817, 51870, 51615, 52827, 51863, 51407, 51838, 51407, 50460, 54235, 50961, 55248, 73300, 55025, 50949, 51114, 50824, 51601, 54235, 50961, 50416, 55025, 51010, 50419, 54235, 54892, 55025, 76255, 54235, 56828, 55025, 51010, 52137, 51059, 50424, 54307, 50824, 50425, 54235, 52717, 50323, 51059, 50427, 55025, 62753, 54235, 71373, 55025, 56257, 54235, 67725, 55025, 54496, 54235, 51010, 50436, 52886, 51059, 64298, 51059, 52133, 51870, 50437, 55025, 59266, 54235, 50962, 50770, 50320, 51352, 50770, 50321, 51795, 51146, 51059, 50440, 55025, 79744, 54235, 51010, 50443, 55025, 51010, 50445, 54235, 63281, 52225, 50993, 51615, 51932, 51711, 51072, 50447, 55025, 51010, 50448, 59151, 51059, 50449, 54235, 51031, 53828, 63399, 55025, 50811, 51430, 50824, 50452, 54235, 76083, 55025, 57701, 54235, 74890, 55025, 67172, 54235, 51031, 50460, 51743, 53435, 51656, 51795, 51711, 54055, 52036, 51795, 54720, 52379, 50461, 55025, 51010, 53718, 51184, 50799, 54235, 50388, 55550, 58329, 58840, 50824, 51339, 51795, 57204, 50817, 55815, 61912, 50723, 50352, 66350, 51062, 51505, 54922, 58595, 69633, 51012, 55111, 50976, 50427, 51081, 51012, 50431, 59128, 51505, 50432, 50951, 51354, 54515, 51483, 50438, 62547, 52512, 50439, 50999, 51745, 56101, 51761, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 8, 33558, 3495, 3152, 1619, 2214, 11, 211, 538, 6, 4246, 10, 15352, 30054, 15229, 19, 10, 20889, 9, 5962, 163, 5683, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 33215, 16739, 9, 211, 401, 6, 211, 6, 8, 272, 1271, 7, 63, 17627, 17274, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 53053, 51505, 52375, 50860, 54338, 51021, 50988, 57053, 56713, 50978, 63833, 52166, 53227, 52375, 50952, 54338, 50940, 50861, 51328, 50902, 51043, 50973, 51412, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51033, 52375, 51030, 54338, 72226, 57053, 56713, 50987, 63833, 53316, 52953, 73654, 52294, 50901, 52874, 57864, 51642, 50973, 51852, 50902, 51412, 50935, 55969, 55711, 50977, 66738, 51931, 59501, 51090, 51622, 51016, 52375, 76692, 59718, 56238, 50987, 67561, 52166, 53041, 50861, 51172, 50973, 51484, 73895, 50935, 55969, 56659, 65376, 50849, 60583, 51374, 51238, 52294, 50807, 52874, 51016, 60624, 57767, 58617, 63833, 56319, 53217, 50861, 51172, 50973, 51534, 50902, 51203, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51388, 52375, 51045, 54338, 51014, 50988, 60366, 58507, 50978, 78343, 52455, 52981, 52375, 50910, 54338, 65022, 51172, 50973, 51645, 50902, 51203, 50935, 57486, 56611, 50937, 50988, 50937, 59195, 51137, 51033, 52375, 51012, 54338, 51952, 50299, 59718, 56713, 51058, 67561, 53316, 52818, 51374, 50921, 52294, 50873, 52874, 57864, 51576, 50973, 51576, 50902, 51411, 50935, 55969, 56659, 50937, 66738, 51956, 59501, 51054, 52375, 79752, 59718, 56238, 50987, 67561, 52455, 56866, 51622, 51073, 58365, 51172, 50973, 51576, 50902, 51411, 50935, 55969, 56659, 65376, 50849, 60583, 51374, 50991, 52294, 51162, 52874, 51345, 50988, 51006, 58661, 58617, 63833, 56319, 53137, 50861, 51775, 50973, 51484, 50902, 51411, 50935, 54703, 55711, 50977, 66738, 51956, 53053, 51388, 52375, 50860, 54338, 51021, 50988, 57053, 56713, 50978, 63833, 52166, 53227, 52375, 50910, 54338, 65022, 51775, 50973, 51775, 73895, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51033, 52375, 51030, 54338, 72226, 57053, 56713, 50987, 63833, 53316, 52953, 73654, 52294, 50901, 52874, 57864, 51484, 50973, 51484, 73895, 50935, 55969, 55711, 50977, 66738, 51931, 59501, 51054, 51622, 51013, 52375, 51016, 50988, 59718, 56238, 50987, 67561, 52166, 53041, 50973, 51172, 50902, 51203, 76964, 50935, 55969, 56659, 65376, 50849, 60583, 51374, 51238, 52294, 50807, 52874, 51016, 60624, 57767, 58617, 63833, 56319, 53217, 50861, 51277, 50902, 51212, 50973, 51642, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51505, 52375, 51138, 54338, 51021, 50988, 60925, 60398, 51058, 59995, 52455, 52981, 52375, 50952, 54338, 50921, 50861, 51172, 50876, 51363, 50968, 51203, 50909, 55363, 58310, 50937, 50988, 50937, 59195, 51137, 51033, 52375, 51012, 54338, 51952, 50299, 59847, 57371, 51058, 62137, 53316, 52818, 73654, 52294, 50873, 52874, 57864, 51328, 77114, 50968, 51212, 50909, 55501, 55109, 50937, 66738, 51956, 59501, 51566, 51622, 51566, 52375, 53531, 50310, 51524, 61048, 74952, 50946, 67682, 67921, 51006, 65890, 52455, 53041, 50989, 51051, 57634, 71363, 50850, 57898, 56659, 60884, 54792, 51239, 52805, 51374, 51238, 52294, 51400, 52874, 51112, 70253, 58254, 50989, 52179, 50946, 51006, 58661, 67169, 64803, 56319, 53137, 50877, 62597, 52415, 50310, 70111, 57999, 55711, 50977, 62081, 55901, 50835, 53053, 51379, 62762, 53318, 50311, 50984, 50973, 50907, 58254, 50988, 57053, 56713, 50978, 63833, 52219, 52281, 53227, 58401, 50921, 50861, 51534, 50973, 51412, 50902, 51255, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51215, 50988, 57053, 56713, 50987, 63833, 53316, 52953, 58085, 79237, 51172, 50973, 51576, 50902, 51411, 50935, 55969, 55711, 50977, 66738, 51931, 57842, 51167, 50988, 59718, 56238, 50987, 67561, 52166, 53041, 57120, 51227, 50861, 51172, 50973, 51172, 50902, 51363, 50935, 55969, 56659, 65376, 50849, 60583, 51137, 51175, 60624, 57767, 58617, 63833, 56319, 53217, 76964, 50973, 51480, 73895, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51235, 74418, 51286, 50988, 59718, 56785, 50978, 67561, 52455, 52981, 57120, 50858, 79270, 50973, 51233, 50902, 51194, 50935, 57486, 56611, 50937, 50988, 50937, 59195, 51137, 51238, 58108, 50930, 50988, 59718, 56713, 51058, 67561, 53316, 52818, 57120, 51745, 50861, 51642, 50902, 51043, 50973, 51363, 50935, 55969, 56659, 50937, 66738, 51956, 57842, 51160, 50988, 59718, 56238, 50987, 67561, 52455, 53041, 74091, 50973, 51337, 50902, 51043, 50935, 55969, 56659, 65376, 50849, 60583, 51137, 51238, 50988, 51006, 58661, 58617, 63833, 56319, 53137, 50861, 51642, 50973, 51412, 50902, 51203, 50935, 54703, 55711, 50977, 66738, 51956, 53053, 51379, 62762, 67845, 57053, 56713, 50978, 63833, 52166, 53227, 58401, 50942, 50861, 51642, 50973, 51043, 50902, 51194, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51215, 50988, 57053, 56713, 50987, 63833, 53316, 52953, 58085, 78828, 51309, 50973, 51233, 50902, 51043, 50935, 55969, 55711, 50977, 66738, 51931, 57842, 51167, 50988, 59718, 56238, 50987, 67561, 52166, 53041, 57120, 51060, 50973, 71665, 51645, 50902, 51255, 50935, 55969, 56659, 65376, 50849, 60583, 51137, 51175, 60624, 57767, 58617, 63833, 56319, 53217, 79270, 50973, 51043, 50902, 51043, 50935, 54703, 55711, 50977, 66738, 51471, 53053, 51235, 74418, 51021, 50988, 59718, 56785, 50978, 67561, 52455, 52981, 57120, 63333, 57777, 51121, 50973, 51178, 50935, 57486, 56611, 50937, 50988, 50937, 59195, 51137, 51238, 58108, 50940, 50861, 50982, 50988, 59718, 56713, 51058, 67561, 53316, 52818, 57120, 51343, 73054, 78434, 50973, 51124, 50935, 55969, 56659, 50937, 66738, 51956, 57842, 51160, 50988, 59718, 56238, 50987, 67561, 52455, 53041, 59856, 58222, 50973, 50955, 50935, 55969, 56659, 65376, 54792, 51239, 52805, 51137, 51238, 62680, 50902, 57069, 51043, 50988, 51006, 58661, 58617, 63833, 56319, 53137, 50861, 51852, 50935, 54703, 55711, 50977, 66738, 55901, 50835, 54309, 51379, 58108, 52195, 50988, 60925, 60398, 51058, 59995, 52166, 53227, 60215, 50968, 51233, 50861, 51363, 50909, 55363, 58310, 50937, 50988, 50937, 57451, 51338, 51215, 50876, 52179, 50988, 59847, 57371, 51058, 62137, 53316, 52953, 76964, 50876, 51411, 50968, 51480, 50909, 55501, 55109, 50937, 66738, 51931, 54683, 51167, 58085, 52195, 50988, 60925, 60398, 51058, 59995, 52166, 53041, 50861, 51172, 50968, 51203, 71090, 50909, 55363, 58310, 50937, 50988, 50937, 60583, 51338, 51175, 50988, 59847, 57371, 51058, 62137, 56319, 53217, 76684, 50968, 51212, 50876, 51312, 50909, 55501, 55109, 50937, 66738, 51471, 53447, 51235, 58108, 68438, 67682, 67921, 51006, 65890, 52455, 52981, 57120, 50830, 50989, 51412, 79725, 50902, 51203, 50850, 57898, 56659, 60884, 50849, 59195, 51181, 51238, 57120, 51030, 50946, 51006, 58661, 67169, 64803, 53316, 52818, 69108, 50859, 50989, 51797, 50877, 51233, 73054, 50850, 57999, 55711, 50977, 62081, 51956, 59501, 51160, 74418, 51030, 50946, 67682, 67921, 51006, 65890, 52455, 53041, 57120, 50858, 50989, 52063, 50877, 51642, 50902, 51043, 50850, 57898, 56659, 60884, 50849, 60583, 51181, 51238, 58108, 51227, 50946, 51006, 58661, 67169, 64803, 56319, 53137, 64144, 50989, 53536, 50313, 51006, 50850, 57999, 55711, 50977, 62081, 51956, 53053, 51388, 54338, 51014, 52375, 50860, 69108, 51745, 50988, 57053, 56713, 50978, 63833, 52166, 53227, 52375, 50952, 54338, 50940, 50861, 51775, 50973, 51775, 73895, 50935, 57486, 56611, 50938, 75732, 57451, 51137, 51033, 52375, 51030, 54338, 72226, 57053, 56713, 50987, 63833, 53316, 52953, 73654, 52294, 50901, 52874, 57864, 51484, 50973, 51484 ]

[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 9590, 6, 13305, 6, 8, 21072, 6, 702, 11, 10, 2635, 1614, 1073, 1020, 20889, 4, 85, 18, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 16, 83, 406, 6, 211, 6, 8, 272, 4, 20, 1349, 16, 1341, 765, 11, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 61791, 50868, 58178, 68341, 50820, 50968, 54452, 51187, 55614, 51150, 51356, 51402, 59740, 50968, 54658, 50804, 51392, 57987, 50968, 56299, 59227, 50847, 58886, 50806, 53026, 59095, 50968, 52247, 53026, 54694, 50868, 51060, 71094, 76372, 50847, 78235, 61816, 52420, 50898, 54002, 53026, 53219, 50935, 62626, 59778, 50809, 51098, 51196, 50902, 54441, 51187, 54735, 50902, 50890, 52093, 50444, 50902, 54332, 50898, 54255, 67102, 50935, 55196, 68550, 50806, 53026, 53035, 53026, 54363, 73420, 62873, 52093, 50456, 64017, 50935, 77607, 51158, 52777, 54370, 79673, 57342, 58720, 72736, 50828, 51273, 51661, 50876, 54452, 51187, 55221, 50876, 51864, 52981, 50876, 55060, 51392, 54069, 50944, 56263, 50879, 53026, 59095, 50876, 60445, 53026, 54694, 50848, 62879, 50858, 76372, 50944, 50921, 50850, 67048, 50910, 52777, 54002, 53026, 53219, 50868, 63722, 50880, 51150, 78726, 55024, 51187, 54735, 50935, 70689, 50841, 51668, 69665, 51420, 52878, 50850, 50830, 74232, 51216, 65481, 50805, 52777, 54255, 53026, 53035, 51042, 51233, 50847, 51941, 51098, 51095, 50861, 51422, 79673, 51647, 52738, 52777, 54370, 51098, 52218, 51187, 57498, 50848, 51709, 56950, 51111, 53026, 69006, 52981, 52777, 54069, 51389, 52423, 51187, 52905, 68450, 51098, 51110, 79673, 51532, 52844, 50804, 51392, 54002, 57767, 51098, 52218, 51187, 58414, 51007, 77787, 51389, 51095, 53026, 62078, 50935, 51101, 51572, 52878, 62486, 52777, 54255, 50848, 51448, 51389, 52773, 51187, 58501, 50847, 69830, 51098, 51095, 50902, 54441, 51187, 56012, 50935, 51391, 51647, 57297, 50902, 54712, 50804, 51392, 54370, 51098, 61936, 50923, 79673, 53458, 51157, 53026, 55221, 62873, 52093, 50420, 50973, 58063, 51392, 54069, 50885, 51448, 50868, 51397, 50876, 51014, 53026, 59095, 50847, 51448, 50425, 50909, 79642, 51150, 50967, 53026, 54694, 50876, 50930, 52093, 59409, 52997, 50898, 54002, 51150, 52773, 51187, 53219, 51150, 72597, 51033, 79673, 51572, 52878, 50876, 54078, 50898, 54255, 50876, 54020, 51187, 59698, 64851, 50449, 50944, 72269, 51273, 51060, 50876, 54020, 51187, 56012, 50850, 51542, 50453, 50876, 50890, 52093, 75152, 53988, 50898, 54370, 51273, 78954, 51021, 79673, 54079, 51290, 53026, 55221, 50973, 51589, 52981, 50877, 56369, 51392, 54069, 53026, 59824, 51098, 66829, 50935, 51448, 50973, 51535, 53026, 54694, 50848, 51233, 76372, 50847, 54172, 50898, 54002, 50850, 51377, 51098, 52218, 51187, 53219, 50848, 50835, 51389, 51095, 53026, 54735, 50848, 51363, 52093, 50444, 73303, 52777, 54255, 50850, 50857, 51389, 52773, 51187, 53035, 51007, 51291, 51098, 51111, 50902, 55461, 51187, 54363, 50848, 51363, 50902, 51864, 52738, 71766, 50902, 55060, 50898, 54370, 50935, 51391, 51098, 50884, 50902, 50893, 79673, 53458, 50967, 53026, 55221, 50847, 51377, 62873, 52093, 58082, 66228, 54047, 51392, 54069, 51098, 64425, 51030, 53026, 52905, 50909, 51945, 51150, 51095, 53026, 54694, 50885, 51025, 50876, 50930, 76372, 50868, 51233, 50876, 54332, 50898, 54002, 61983, 51150, 63287, 50806, 53026, 53219, 51150, 51013, 53026, 62078, 50973, 51309, 50441, 62783, 52093, 66368, 54806, 50898, 54255, 53026, 53035, 50850, 50892, 51273, 51060, 50876, 55461, 51187, 54363, 73172, 50876, 51864, 52738, 50944, 61902, 54332, 50898, 54370, 51273, 72854, 53558, 51187, 60112, 72681, 54079, 52297, 50315, 53097, 51187, 55221, 59358, 50877, 51582, 52981, 50848, 51212, 61084, 52777, 57466, 50944, 54347, 53026, 52905, 66177, 51098, 51110, 50861, 51417, 53026, 54694, 64851, 76372, 50847, 51907, 51392, 54002, 50850, 50940, 53026, 53219, 51098, 53287, 51187, 54735, 50850, 51559, 52878, 67561, 51705, 52997, 50898, 54255, 53026, 53035, 50935, 60576, 58917, 69149, 69228, 61574, 50828, 51493, 51215, 50968, 52750, 66069, 51647, 57297, 50968, 52163, 50804, 51392, 54370, 71766, 72743, 70987, 51493, 68546, 52590, 66069, 68515, 51095, 53026, 55221, 50868, 51175, 50973, 51864, 52981, 67561, 50847, 50940, 50973, 54332, 51392, 54069, 51705, 77360, 51138, 53026, 52905, 50935, 59495, 68015, 50836, 51668, 51158, 53026, 54694, 50902, 50962, 52093, 63975, 50921, 52777, 56720, 51668, 58970, 50944, 58778, 57172, 50925, 53026, 58414, 51705, 51116, 66836, 51021, 53026, 62078, 73420, 51572, 58829, 50944, 58190, 55322, 50902, 56606, 50898, 54255, 51668, 60762, 55461, 51187, 53035, 50909, 66636, 57932, 50818, 51150, 51100, 50876, 52750, 51187, 54363, 50876, 50962, 52093, 75152, 54332, 50898, 54370, 57835, 50847, 57750, 51351, 51150, 62282, 54452, 66069, 53458, 51346, 50876, 55572, 51187, 65334, 50868, 51178, 50417, 79289, 52093, 50420, 50847, 67048, 58063, 51392, 54069, 53026, 52905, 50944, 58434, 61575, 50867, 51389, 70897, 50983, 79673, 51532, 52844, 52777, 54002, 59081, 74579, 73694, 51389, 54005, 51187, 53219, 51389, 51345, 53026, 54735, 71812, 52093, 50443, 50944, 60492, 71088, 52777, 54255, 50876, 52651, 51187, 53035, 50868, 57932, 64278, 50840, 51150, 51095, 50968, 52750, 51187, 54363, 50968, 50962, 52093, 50456, 50968, 52279, 50898, 54370, 70531, 50909, 56291, 50959, 51150, 70831, 51012, 79673, 53788, 51048, 53026, 55221, 50868, 51121, 50902, 50950, 52093, 50420, 59589, 50909, 64715, 55020, 51392, 54069, 53026, 52905, 50935, 61575, 61574, 50846, 51098, 51111, 50902, 57888, 51187, 54694, 50902, 51010, 52093, 63975, 56106, 50898, 56720, 51098, 53263, 50935, 55257, 50955, 50847, 60358, 51012, 53026, 53219, 51389, 50889, 53026, 62078, 50848, 51177, 50441, 50876, 51594, 52878, 65940, 50935, 68839, 51192, 52777, 54255, 53026, 53035, 50848, 68015, 58434, 50809, 51273, 51116, 50876, 57888, 66069, 51647, 57297, 50876, 57251, 52777, 54370, 50944, 72098, 60303, 54666, 50860, 79673, 54079, 52423, 51187, 55221, 50848, 51101, 51493, 50812, 50973, 51508, 52981, 80247, 65993, 51705, 67048, 50879, 52777, 54069, 53026, 52905, 57137, 50935, 51310, 50848, 50857, 51098, 51124, 50861, 50889, 53026, 54694, 61375, 76372, 50847, 54218, 51392, 54002, 67102, 50850, 50940, 53026, 53219, 51216, 61816, 52590, 51187, 54735, 58126, 50848, 50857, 52093, 50443, 51668, 55700, 59081, 50847, 74134, 51012, 52777, 54255, 53026, 53035, 61311, 50868, 64705, 50862, 51150, 51060, 50968, 54452, 51187, 54363, 50968, 50962, 52093, 50456, 50968, 56106, 51392, 54370, 57835, 50847, 58649, 50849, 51150, 50895, 50968, 52590, 66069, 53788, 51290, 53026, 55221, 72419, 50902, 51739, 52981, 59589, 50909, 65090, 78708, 51392, 54069, 53026, 52905, 50848, 69010, 56705, 50846, 51098, 51111, 50902, 52750, 51187, 54694, 50902, 50930, 52093, 63975, 56606, 50898, 54002, 72863, 50847, 58580, 50955, 51098, 64441, 51012, 53026, 53219, 51389, 51060, 53026, 54735, 50848, 51177, 50876, 51739, 52878, 75329, 50935, 52415, 50315, 52420, 50898, 54255, 51389, 53672, 51187, 53035, 50848, 72801, 56608, 50840, 51273, 51158, 50876, 52750, 51187, 54363, 50876, 50860, 52093, 50456, 52777, 54370, 50944, 57046, 50955, 69861, 51273, 63835, 50860, 79673, 54079, 51048, 53026, 55221, 50848, 51177, 50973, 51508, 52981, 50944, 62033, 66388, 58063, 51392, 54069, 53026, 52905, 50935, 69942, 56705, 50841, 51098, 51215, 50973, 51343, 79673, 51532, 52844, 52777, 54002, 50935, 56238, 56659, 50955, 51098, 54405, 51187, 53219, 51098, 50940, 53026, 54735, 71812, 52093, 50444, 68386, 58966, 51668, 54047, 50898, 54255, 50876, 55461, 51187, 53035, 50847, 62294 ]

[ 0, 250, 251, 6, 2635, 12, 20764, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 10, 5540, 13305, 14, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 1969, 13, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 8, 10, 231, 73, 398, 86, 6543, 6, 5, 15229, 16, 17407, 30, 10, 33215, 16739, 9, 2060, 406, 8, 230, 10431, 6, 2351, 10, 15352, 30054, 8, 8728, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50621, 50997, 54557, 51040, 52407, 51966, 53055, 51360, 53055, 51378, 52147, 50432, 50621, 51086, 55789, 50956, 53726, 50438, 50620, 51966, 58556, 50293, 58556, 50298, 55016, 50302, 55016, 50305, 80189, 50621, 50997, 50984, 51966, 53801, 51360, 53801, 51378, 53055, 50451, 50621, 50453, 51040, 51022, 50454, 50621, 50456, 50989, 51123, 50457, 50621, 50459, 50906, 51022, 50460, 50621, 50462, 51028, 51123, 50463, 50621, 50465, 51114, 51123, 50466, 50621, 50468, 51081, 51123, 50469, 50621, 50470, 50621, 50471, 50621, 51399, 50984, 50472, 50621, 50473, 50621, 50474, 50620, 51040, 55765, 50989, 55574, 50906, 55574, 51787, 52056, 51540, 50621, 50906, 54557, 51028, 54557, 51378, 53801, 51040, 53801, 50989, 53055, 50432, 50973, 54848, 51001, 54848, 50438, 50620, 51378, 58556, 50305, 58556, 50310, 55016, 50314, 55036, 50317, 52397, 50450, 50621, 50906, 51022, 51378, 53801, 51040, 53801, 50989, 53055, 50451, 50621, 50453, 51028, 51252, 50454, 50621, 50456, 51114, 51269, 50457, 50621, 50459, 51081, 51269, 50460, 50621, 50462, 51399, 51269, 50463, 50621, 50465, 51787, 51269, 50466, 50621, 50468, 52052, 51022, 50469, 50621, 50470, 50621, 50471, 50621, 53684, 51022, 50472, 50621, 50473, 50621, 50474, 50620, 51028, 60667, 50322, 60667, 50326, 58556, 50346, 52011, 51540, 50621, 51360, 52440, 51050, 52147, 51086, 52147, 50965, 51703, 50438, 50620, 51050, 53892, 50965, 52460, 51360, 54590, 50303, 52025, 50447, 50620, 51176, 51269, 50871, 59038, 51086, 51269, 70795, 51360, 52440, 51176, 52212, 50453, 50621, 51399, 56838, 51220, 72037, 51147, 51123, 50462, 50931, 50907, 50465, 51028, 50984, 50468, 50973, 51123, 50471, 50965, 51123, 50474, 50621, 63227, 51360, 55016, 50297, 52397, 50476, 50621, 50477, 50621, 51040, 51123, 50478, 50621, 50479, 50621, 50480, 50621, 75475, 50483, 50620, 51086, 51123, 51540, 50621, 51966, 52440, 51360, 52440, 51378, 52147, 50997, 52147, 50989, 51703, 50438, 50620, 51966, 55016, 50293, 55016, 50298, 54590, 50302, 54590, 50310, 52011, 50450, 50620, 50997, 51269, 51040, 51123, 51966, 53055, 51360, 53055, 51378, 52440, 50453, 50621, 51081, 55346, 51114, 62065, 51028, 50984, 50462, 69195, 50465, 50989, 51123, 50468, 75039, 50471, 50997, 51123, 50474, 50621, 51378, 51123, 50475, 50621, 50476, 50621, 50477, 50621, 51360, 51022, 50478, 50621, 50479, 50621, 50480, 50620, 51234, 51022, 50481, 50620, 50482, 50620, 50483, 50619, 51966, 51022, 51540, 50621, 50956, 53280, 52046, 52440, 51234, 52440, 51197, 52147, 51026, 52440, 51040, 52440, 64185, 67458, 50621, 52046, 55016, 50290, 55016, 50295, 54590, 50299, 55036, 50305, 55036, 50307, 80189, 50621, 51176, 51269, 51086, 51022, 51503, 53055, 51197, 52440, 50453, 51176, 56773, 51086, 72037, 50956, 51123, 50462, 79944, 50465, 50973, 51123, 50468, 51001, 50907, 50471, 50973, 50907, 50474, 50620, 51086, 58556, 50307, 58556, 50312, 55016, 50324, 50932, 51540, 50621, 51001, 51965, 51197, 52440, 50997, 52440, 50956, 52147, 50861, 51703, 51028, 51703, 50432, 50622, 50968, 55659, 50621, 51197, 55016, 50302, 55016, 50307, 54590, 50311, 53126, 50317, 53126, 50319, 60779, 50621, 67364, 64542, 51176, 52212, 50956, 51490, 50453, 50965, 55346, 50973, 56573, 51001, 50907, 50462, 51147, 50912, 50465, 51220, 50851, 50468, 51405, 50827, 50471, 51220, 50822, 50474, 50621, 52128, 51363, 51086, 53164, 50307, 53164, 50312, 51330, 50483, 50620, 51787, 50874, 51540, 50621, 51339, 50822, 52759, 51447, 51360, 74317, 53684, 79604, 50622, 50420, 53117, 54252, 52128, 52921, 51339, 55730, 51399, 53193, 51220, 54378, 51147, 52691, 58398, 51040, 70240, 52845, 50315, 51108, 50441, 51028, 53743, 50973, 55118, 50965, 53140, 50621, 74166, 52759, 51447, 51360, 51244, 50453, 51040, 54900, 50900, 54846, 51040, 50874, 50462, 76599, 50465, 68793, 50468, 50621, 74575, 50471, 51040, 51108, 50474, 50621, 50906, 51534, 51360, 52845, 50297, 51108, 50483, 51086, 50907, 62094, 51540, 50621, 50997, 50912, 74312, 51966, 51490, 51360, 51490, 51378, 51314, 50417, 68070, 50418, 50621, 61683, 53591, 50989, 52580, 50621, 50906, 54889, 59950, 50430, 50621, 50432, 51114, 63221, 50621, 50435, 51081, 52788, 50621, 51399, 50827, 51040, 55036, 50310, 55036, 50314, 52011, 50439, 50621, 50440, 50621, 50441, 50621, 51787, 67552, 50621, 50443, 50621, 50444, 50621, 52052, 63107, 50621, 50446, 50621, 50447, 50620, 53684, 54385, 51040, 55036, 50310, 55036, 50314, 53126, 50346, 50915, 50462, 50620, 50474, 50989, 51172, 50483, 70181, 51540, 50621, 51503, 52511, 50300, 72397, 51283, 66650, 51074, 50425, 50621, 53523, 52858, 50310, 51074, 50430, 50621, 50432, 67364, 51176, 51074, 50434, 50621, 50435, 50906, 53269, 50621, 60714, 50900, 52858, 50310, 51074, 50441, 59950, 50442, 50621, 50444, 67108, 51176, 51074, 50446, 50621, 50447, 50931, 52989, 50621, 51503, 52511, 50300, 52104, 50322, 51542, 50456, 51176, 51166, 50462, 50900, 53186, 50310, 51166, 50464, 50621, 50465, 51147, 50825, 50466, 51081, 50825, 50467, 50621, 51147, 50825, 50468, 60299, 51176, 51166, 50469, 50621, 50471, 50621, 51147, 50874, 50473, 50621, 50474, 51081, 72679, 53186, 50310, 51166, 50475, 50621, 50477, 75111, 50478, 50621, 50480, 50620, 51399, 50844, 51176, 51166, 50482, 50620, 50483, 50620, 51405, 50810, 51540, 52759, 52511, 50293, 52104, 50333, 51295, 50418, 50621, 66650, 58309, 51040, 78068, 57123, 51405, 50827, 51176, 51432, 50435, 51399, 52788, 50620, 51062, 76225, 54126, 50309, 51432, 50441, 51405, 53086, 50621, 51399, 50874, 51176, 51432, 50447, 51081, 53567, 52759, 52511, 50293, 52104, 50324, 51314, 50456, 50621, 51176, 51387, 50462, 51040, 53693, 50309, 51387, 50468, 51176, 51387, 50474, 50621, 51040, 53693, 50309, 53186, 50321, 52034, 51147, 51645, 50480, 51176, 51387, 50483, 50620, 51114, 50984, 51081, 50851, 51540, 50621, 51503, 52511, 50300, 52104, 50322, 52216, 50326, 59288, 50621, 51176, 76830, 50972, 53523, 53693, 50310, 60484, 50621, 51176, 53186, 50322, 52216, 50326, 54938, 50900, 53693, 50310, 76830, 59388, 50620, 51176, 53186, 50322, 52216, 50326, 55437, 50621, 51503, 52511, 50300, 52104, 50322, 52216, 50326, 57092, 50621, 51176, 76830, 50972, 50462, 50900, 53693, 50310, 51387, 50468, 51176, 78290, 52216, 50322, 50972, 50474, 50900, 53186, 50312, 74056, 50972, 50480, 50620, 51176, 53186, 50310, 52511, 50319, 50972, 51540, 66398, 52759, 52511, 50293, 51079, 50417, 50621, 50931, 51679, 66650, 51387, 61104, 53693, 50309, 60484, 50621, 51001, 50851, 51176, 51387, 50435, 51028, 64704, 50621, 50438, 60714, 51040, 53693, 50309, 51387, 50441, 50621, 51001, 54478, 50621, 64920, 51176, 51387, 50447, 50621, 50906, 54823, 50621, 52759, 52511, 50293, 78502, 51447, 50456, 51176, 51387, 50462, 51040, 53693, 50309, 51387, 50468, 51176, 51387, 50474, 50620, 51040, 53693, 50309, 53186, 50312, 51172, 50480, 51176, 51387, 50483, 50620, 63613, 51540, 50621, 51503, 52511, 50300, 72397, 51283, 66650, 51074, 50425, 50621, 53523, 52858, 50310, 51074, 50430, 50621, 50432, 67364, 51176, 51074, 50434, 50621, 50435, 50906, 53269, 50621, 60714, 50900, 52858, 50310, 51074, 50441, 59950, 50442, 50621, 50444, 67108, 51176, 51074, 50446, 50621, 50447, 50931, 52989, 50621, 51503, 52511, 50300, 52104, 50322, 51542, 50456, 51176, 51166, 50462, 50900, 53186, 50310, 51166, 50464, 50621, 50465, 51147 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 3366, 219, 8, 19448, 5466, 6, 4246, 10, 25044, 139, 10170, 1499, 981, 5, 33301, 6, 7513, 30, 41, 21979, 8669, 6, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 20, 2125, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 230, 6, 230, 401, 6, 230, 10431, 37152, 6, 211, 119, 6, 8, 272, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 53075, 50933, 51825, 50825, 52287, 54202, 51825, 50864, 52287, 53272, 51303, 50933, 51825, 50933, 52287, 56180, 53075, 50933, 51818, 50864, 52287, 54394, 51818, 50864, 52287, 53996, 51303, 50933, 51818, 50933, 52287, 50933, 50799, 53075, 50933, 51457, 51309, 52287, 61378, 53171, 55656, 51303, 50933, 52109, 51309, 51825, 56626, 51981, 56180, 53075, 50933, 51327, 51309, 52287, 57940, 51981, 55514, 51303, 50933, 51414, 51309, 51825, 57131, 51457, 50933, 67718, 50933, 51327, 55656, 53927, 51309, 53171, 56180, 51410, 50933, 51327, 55514, 53927, 51309, 53171, 50933, 77034, 70152, 51476, 50910, 53248, 56382, 52303, 51095, 55285, 70149, 52326, 51095, 55390, 64949, 52690, 51095, 55383, 51095, 50799, 53792, 50878, 53075, 51043, 51303, 50878, 51249, 50878, 51825, 50878, 53845, 53530, 51420, 55456, 54772, 52542, 50812, 53691, 55116, 56510, 52826, 57141, 55116, 50417, 51236, 53364, 57711, 53792, 50878, 51303, 50878, 51249, 50878, 51825, 50878, 53845, 53095, 50822, 66151, 50360, 51035, 54080, 51236, 67962, 55124, 53792, 51043, 51476, 51043, 51303, 51043, 51249, 51043, 51825, 51043, 51688, 54806, 51420, 54772, 52542, 55658, 51236, 53364, 55011, 67813, 50360, 51035, 54125, 68846, 54553, 57402, 67962, 55707, 55015, 50878, 53248, 51043, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 53330, 54772, 52542, 50812, 53012, 55713, 53364, 54682, 55015, 50878, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 54436, 50812, 66151, 50360, 51035, 54672, 51688, 64136, 67962, 55814, 55015, 51043, 51476, 51043, 51303, 51043, 51249, 51043, 51818, 56959, 51420, 54772, 52542, 55874, 68846, 64792, 53364, 56773, 53845, 50851, 61620, 52542, 54421, 68846, 55875, 55073, 53821, 51022, 50799, 54283, 50878, 53075, 51043, 51303, 50878, 51249, 50878, 51457, 50878, 53845, 54312, 51420, 54772, 52542, 57368, 51236, 53364, 57711, 55015, 50878, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 54436, 50822, 61620, 52542, 54080, 51170, 50360, 51035, 55124, 54283, 50878, 51476, 50878, 51303, 50878, 51249, 50878, 51457, 50878, 51688, 54172, 51420, 54772, 55141, 55658, 51236, 53229, 55011, 55242, 51397, 53248, 51025, 51303, 51397, 51249, 51397, 67813, 56205, 54125, 68846, 59606, 57529, 52542, 55707, 53845, 53330, 54772, 52542, 50812, 53012, 55713, 60399, 56510, 51749, 50444, 53248, 50878, 53845, 53877, 50812, 61620, 52542, 54672, 51688, 56854, 67962, 55814, 53655, 54566, 51420, 54772, 52542, 55874, 68846, 64992, 53364, 51022, 57141, 60326, 50456, 54369, 50878, 53845, 50827, 61620, 52542, 50812, 59877, 66376, 68846, 54806, 55073, 53821, 51022, 50799, 54283, 50878, 53075, 51134, 51303, 50878, 51249, 50878, 51457, 50878, 53845, 51008, 52506, 54772, 52542, 57368, 51236, 53364, 57711, 55015, 50878, 51303, 50878, 51249, 50878, 51818, 50878, 53845, 53877, 50822, 61620, 52542, 54080, 51170, 53364, 51022, 53691, 52670, 54283, 51043, 51303, 51043, 51249, 51043, 51457, 56959, 51420, 54582, 56205, 50812, 56510, 52056, 50429, 51170, 53821, 51022, 57141, 51423, 50432, 67813, 52542, 50812, 59877, 78262, 53845, 54345, 57402, 53821, 55707, 55242, 51043, 55349, 51134, 51687, 51134, 51249, 50820, 61079, 61509, 54582, 52542, 50812, 56864, 51679, 69765, 51679, 57141, 51679, 59877, 51679, 53012, 55073, 53364, 54682, 61079, 53877, 50812, 66151, 55141, 54672, 51236, 67962, 55814, 54062, 51043, 51327, 56959, 51420, 54772, 52542, 55874, 51236, 53364, 51022, 56672, 55300, 52542, 54421, 61079, 54345, 55073, 53821, 51022, 50799, 54283, 50878, 52690, 51134, 51303, 51134, 51414, 51134, 51457, 50878, 53160, 54312, 51420, 54772, 52542, 57368, 51236, 53364, 57711, 55015, 50878, 51818, 50878, 53160, 56029, 50822, 66151, 50360, 51035, 54080, 51236, 67962, 51022, 55616, 52670, 54283, 51043, 51457, 51043, 53160, 54420, 51420, 54772, 52542, 50812, 56510, 52056, 50429, 51236, 53364, 51022, 57034, 51423, 50432, 67813, 50360, 51035, 50812, 58349, 78262, 53160, 53352, 57402, 67962, 51022, 67749, 53614, 55928, 51134, 53248, 51043, 51465, 51134, 51414, 51134, 51332, 56879, 54772, 52542, 50812, 59710, 51679, 57034, 51679, 58349, 51679, 59877, 51679, 53012, 55713, 53364, 54682, 51332, 50878, 54524, 66151, 50360, 51035, 54672, 51236, 67962, 55814, 51476, 56959, 51420, 54772, 52542, 55874, 53160, 64792, 53364, 56773, 52021, 50904, 61620, 52542, 54421, 51332, 52467, 55073, 53821, 51022, 50799, 55187, 50878, 52303, 51043, 51410, 50878, 51303, 50878, 51231, 50878, 53160, 54312, 51420, 54772, 52542, 50812, 56510, 51679, 57034, 51679, 58349, 51679, 67749, 51679, 50417, 51236, 53364, 57711, 55242, 51043, 51410, 51043, 51303, 51043, 51249, 51151, 53160, 56029, 50822, 61620, 52542, 54080, 51170, 50360, 51035, 55124, 52326, 51043, 53160, 54420, 51420, 54772, 55141, 55658, 51236, 53229, 55011, 55928, 50878, 51410, 50878, 51303, 50878, 51414, 50878, 67813, 56205, 54125, 53160, 53352, 57529, 52542, 55707, 54062, 50878, 52690, 51043, 51465, 50878, 51414, 50878, 51327, 50878, 51332, 61509, 54772, 52542, 50812, 53012, 55713, 53364, 54682, 54283, 51043, 51465, 51043, 51414, 51043, 51457, 51043, 51332, 53877, 50812, 61620, 52542, 54672, 51236, 67962, 51022, 53691, 52763, 53248, 56959, 51420, 54772, 52542, 50812, 59710, 52056, 50453, 51236, 53364, 51022, 57034, 51423, 50456, 54062, 50878, 51465, 50878, 51414, 50878, 51327, 50878, 61620, 52542, 50812, 58349, 51210, 50459, 51332, 54345, 55073, 53821, 51022, 59877, 50844, 50799, 55187, 50878, 52303, 51043, 51410, 50878, 51303, 50878, 51231, 50878, 53160, 51008, 52506, 54772, 52542, 57368, 51236, 53364, 57711, 55242, 50878, 51410, 50878, 51303, 50878, 51249, 51717, 53160, 53877, 50822, 66151, 50360, 51035, 54080, 51236, 67962, 51022, 55616, 52670, 55928, 51043, 52326, 51043, 51410, 51043, 51303, 51043, 51414, 56959, 51420, 54772, 52542, 50812, 56510, 52056, 50429, 51236, 53364, 51022, 57034, 51423, 50432, 67813, 50360, 51035, 50812, 58349, 78262, 53160, 54345, 57402, 67962, 51022, 67749, 53614, 54062, 51134, 52690, 51043, 51465, 51134, 51414, 51134, 51327, 51134, 51332, 51373, 54772, 52542, 50812, 59710, 51679, 57034, 51679, 58349, 51679, 59877, 51679, 53012, 55713, 53364, 54682, 51332, 55503, 50812, 66151, 50360, 51035, 54672, 51332, 61150, 67962, 55814, 53248, 56959, 51420, 54772, 52542, 55874, 51236, 53364, 56773, 61620, 52542, 54421, 51332, 55106, 55073, 53821, 51022, 72412, 51134, 53160, 54312, 51420, 54772, 52542, 57368, 51236, 53364, 57711, 53160, 56029, 50822, 61620, 52542, 54080, 51170, 50360, 51035, 51022, 52078, 54654, 54283, 50878, 51303, 50878, 51414, 50878, 51457, 50878, 53160, 54420, 51420, 54772, 55141, 50812, 56510, 51254, 57034, 50987, 58349, 50838, 67749, 51174, 50429, 51236, 53229, 55011, 57042, 50878, 51303, 50878, 51414, 50878, 52109, 50878, 67813, 56205, 54125, 53160, 53352, 57529, 52542, 55707, 54283, 50878, 53248, 51134, 51465, 51134, 51414, 51134, 51457, 50878, 51332, 61509, 54772, 52542, 50812, 53012, 55713, 53364, 54682, 57042, 50878, 52109, 50878, 51332, 53877, 50812, 61620, 52542, 54672, 51236, 67962, 51022, 53691, 52763, 54283, 51043, 51457, 56959, 51420, 54772, 52542, 50812, 59710, 52056, 50453, 51236, 53364, 51022, 57034, 51423, 50456, 61620, 52542, 50812, 58349, 51210, 50459, 51332, 54345, 55073, 53821, 51022, 59877, 50844, 50799, 54283, 51043, 52303, 51452, 51465 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 45080, 1349, 6, 42, 765, 2214, 36193, 18151, 7, 10, 3366, 219, 6, 11299, 12, 506, 1182, 46177, 980, 4, 16241, 212, 3315, 6, 22052, 6, 8, 3038, 45552, 833, 19, 8016, 6496, 8, 1428, 21072, 6, 1759, 25688, 5, 2125, 556, 23, 10, 1769, 20889, 9, 23703, 163, 5683, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 8, 2329, 1843, 154, 7, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 2060, 119, 406, 428, 245, 73, 43608, 6, 211, 6, 8, 274, 10431, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50438, 53134, 50818, 52452, 50818, 54133, 50818, 54862, 50918, 52252, 51492, 52009, 51492, 53608, 73086, 54023, 50588, 55608, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 79519, 53134, 50818, 52452, 50818, 54133, 52349, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 79431, 54023, 50588, 51252, 50417, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 52794, 50429, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52788, 53134, 50818, 52452, 50818, 54133, 54005, 58709, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 55371, 53134, 50818, 52452, 50818, 54133, 52349, 54862, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 60314, 59991, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 54889, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52788, 52408, 50818, 53190, 50818, 54133, 50818, 52408, 50918, 51701, 51492, 52736, 51492, 53608, 73086, 58709, 52408, 50818, 53190, 50818, 54133, 52210, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52989, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 55371, 52408, 50818, 53190, 50818, 54133, 52349, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 50827, 50799, 52408, 50818, 53190, 50818, 54133, 50818, 53638, 79431, 59991, 52408, 50818, 53190, 50818, 54133, 52432, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52580, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 54889, 52408, 50818, 53190, 50818, 54133, 52209, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52788, 52408, 50818, 53190, 50818, 54133, 54005, 58709, 52408, 50818, 53190, 50818, 54133, 52210, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52989, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 55371, 52408, 50818, 53190, 50818, 54133, 52349, 54862, 50795, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 50827, 50799, 52408, 50818, 53190, 50818, 54133, 50818, 53714, 60314, 59991, 52408, 50818, 53190, 50818, 54133, 52432, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52580, 52408, 50818, 53190, 50818, 54133, 54005, 53887, 65232, 54889, 52408, 50818, 53190, 50818, 54133, 52209, 52412, 50795, 52408, 75541, 50795, 54133, 50795, 52246, 52152, 52788, 53638, 50818, 52412, 50818, 53134, 50818, 53714, 50918, 52091, 51492, 51678, 51492, 52252, 73086, 58709, 53638, 50818, 52412, 50818, 53134, 52210, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52989, 53638, 50818, 52412, 50818, 53134, 54005, 53887, 65232, 55371, 53638, 50818, 52412, 50818, 53134, 52349, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 50827, 50799, 53638, 50818, 52412, 50818, 53134, 50818, 52987, 52382, 50801, 59991, 53638, 50818, 52412, 50818, 53134, 52432, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52580, 53638, 50818, 52412, 50818, 53134, 54005, 53887, 65232, 54889, 53638, 50818, 52412, 50818, 53134, 52209, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52788, 53638, 50818, 52412, 50818, 53134, 54005, 58709, 53638, 50818, 52412, 50818, 53134, 52210, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52989, 53638, 50818, 52412, 50818, 53134, 54005, 53887, 65232, 55371, 53638, 50818, 52412, 50818, 53134, 52349, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 50827, 50799, 53638, 50818, 52412, 50818, 53134, 54005, 59991, 53638, 50818, 52412, 50818, 53134, 52432, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52580, 53638, 50818, 52412, 50818, 53134, 50818, 54862, 51650, 53887, 65232, 54889, 53638, 50818, 52412, 50818, 53134, 52209, 54427, 50795, 53638, 50795, 52412, 50795, 53134, 50795, 53570, 52152, 52788, 52412, 50818, 53134, 50818, 52452, 50818, 52987, 51161, 72890, 52252, 51036, 52009, 59578, 58709, 52412, 50818, 53134, 50818, 52452, 52210, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 52989, 52412, 50818, 53134, 50818, 52452, 54005, 53887, 65232, 55371, 52412, 50818, 53134, 50818, 52452, 52349, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 50827, 50799, 52412, 50818, 53134, 50818, 52452, 54005, 59991, 52412, 50818, 53134, 50818, 52452, 52432, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 52580, 52412, 50818, 53134, 50818, 52452, 50818, 53638, 51650, 53887, 65232, 54889, 52412, 50818, 53134, 50818, 52452, 52209, 52987, 50795, 52412, 50795, 53134, 50795, 52452, 50795, 52020, 52152, 52788, 52408, 50818, 53190, 50818, 52751, 50818, 54427, 51161, 68662, 52736, 51036, 52295, 59578, 58709, 52408, 50818, 53190, 50818, 52751, 52210, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 52989, 52408, 50818, 53190, 50818, 52751, 54005, 53887, 65232, 55371, 52408, 50818, 53190, 50818, 52751, 52349, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 50827, 50799, 52408, 50818, 53190, 50818, 52751, 54005, 59991, 52408, 50818, 53190, 50818, 52751, 52432, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 52580, 52408, 50818, 53190, 50818, 52751, 50818, 52987, 51650, 53887, 65232, 54889, 52408, 50818, 53190, 50818, 52751, 52209, 54427, 50795, 52408, 75541, 50795, 52751, 50795, 52246, 52152, 52788, 53134, 50818, 52452, 50818, 54133, 50818, 54862, 50918, 52252, 51492, 52009, 51492, 53608, 73086, 54023, 50588, 55608, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 79519, 53134, 50818, 52452, 50818, 54133, 52349, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 79431, 54023, 50588, 51252, 50417, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 52984, 50588, 52794, 50429, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52788, 53134, 50818, 52452, 50818, 54133, 54005, 58709, 53134, 50818, 52452, 50818, 54133, 52210, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52989, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 55371, 53134, 50818, 52452, 50818, 54133, 52349, 54862, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 50827, 50799, 53134, 50818, 52452, 50818, 54133, 50818, 53714, 60314, 59991, 53134, 50818, 52452, 50818, 54133, 52432, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152, 52580, 53134, 50818, 52452, 50818, 54133, 54005, 53887, 65232, 54889, 53134, 50818, 52452, 50818, 54133, 52209, 53134, 50795, 53134, 50795, 52452, 50795, 54133, 50795, 54135, 52152 ]

[ 0, 250, 765, 53, 20425, 5175, 37903, 11, 211, 538, 6, 4246, 10, 15352, 30054, 8, 2933, 5466, 19, 10, 11602, 9, 11299, 27456, 6, 3185, 30, 10, 1769, 20889, 11, 204, 73, 306, 86, 8, 10, 881, 274, 10431, 37152, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50973, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50931, 51820, 51324, 53658, 50968, 51754, 51324, 55673, 50800, 57844, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 53471, 50902, 51628, 51324, 55673, 51724, 50973, 51820, 51324, 53658, 50931, 51754, 51324, 55648, 50800, 57844, 51835, 51324, 55673, 52296, 50902, 51628, 51324, 56645, 51724, 50931, 51820, 51324, 53658, 50968, 51754, 51324, 55673, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 8787, 3152, 15229, 5378, 16364, 19, 1007, 6, 42, 2125, 16, 17407, 30, 63, 748, 1879, 15525, 20889, 6, 3694, 762, 6, 8, 5, 2247, 4069, 9, 81, 9756, 8, 30587, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 2352, 6757, 6, 70, 447, 561, 7, 1045, 41, 9066, 8, 15352, 30054, 2369, 18795, 14, 10930, 16186, 88, 20292, 13560, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 60865, 51843, 52728, 52294, 51923, 51219, 50918, 52591, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 60865, 51843, 52728, 79228, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 60865, 51843, 52728, 52294, 51923, 51219, 50918, 52591, 51288, 52910, 53289, 51736, 56938, 63967, 51507, 51428, 53837, 52600, 62460, 61900, 51263, 74493, 50807, 51632, 51428, 56874, 52616, 52426, 51428, 53837, 52725, 61016, 72347, 51598, 51428, 56874, 50820, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 50983, 52106, 53969, 51843, 50807, 53468, 53794, 79228, 51770, 53702, 51219, 50918, 52591, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 50983, 52106, 53969, 51843, 50807, 53468, 53794, 79228, 51770, 50849, 50799, 51219, 60055, 51288, 52910, 53289, 51736, 51063, 51646, 51344, 50983, 52106, 53969, 51843, 50807, 53468, 53794, 79228, 51770, 53702, 51219, 50918, 79395, 51288, 52910, 53289, 51736, 56938, 63967, 51507, 51428, 53837, 52600, 62460, 61900, 51263, 74493, 50807, 51632, 51428, 56874, 52616, 52426, 51428, 53837, 50820, 50799, 61016, 72347, 51598, 51428, 56874, 52761, 54266, 63639, 57219, 76709, 51598, 51631, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 53035, 54266, 63639, 57219, 76709, 51598, 52152, 52738, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 72347, 51598, 51428, 52493, 52981, 54266, 63639, 57219, 76709, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 53923, 77143, 51507, 52732, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 58436, 51344, 50849, 51843, 50845, 67277, 51497, 50849, 51839, 50845, 52576, 51428, 52493, 52981, 60755, 51569, 50849, 51849, 50845, 62492, 51856, 50849, 52074, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 53035, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52738, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 50828, 50799, 60755, 60335, 62492, 63084, 52426, 51428, 52493, 52981, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 53923, 77143, 51507, 51428, 54119, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 60755, 60335, 62492, 63084, 52426, 51428, 52493, 52981, 61016, 72347, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 53035, 54266, 63639, 57219, 76709, 51598, 52152, 52738, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 72347, 51598, 51428, 52493, 52981, 54266, 63639, 57219, 76709, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 53923, 77143, 51507, 52732, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 58436, 51344, 50849, 51843, 50845, 67277, 51497, 50849, 51839, 50845, 52576, 51428, 52493, 52981, 60755, 51569, 50849, 51849, 50845, 62492, 51856, 50849, 52074, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 53035, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52738, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 50828, 50799, 60755, 51569, 50849, 51849, 50849, 62492, 51856, 50849, 52074, 50849, 52426, 51428, 52572, 52493, 50828, 50799, 61016, 52341, 50967, 57714, 50967, 72347, 51598, 51428, 56874, 52761, 54266, 63639, 57219, 76709, 51598, 60010, 51854, 50967, 54338, 59204, 54266, 63639, 57219, 76709, 51598, 52152, 57881, 51622, 50967, 53549, 58443, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 51849, 50967, 54111, 50967, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 58275, 51622, 50967, 53549, 58647, 54266, 63639, 57219, 76709, 51598, 52152, 57297, 51854, 50967, 54338, 58760, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 51344, 51036, 52341, 51036, 72347, 51598, 51428, 52493, 52981, 54266, 63639, 57219, 76709, 51598, 52732, 52905, 54266, 63639, 57219, 76709, 51598, 52152, 52844, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 72347, 51598, 51626, 52493, 52878, 53923, 77143, 51507, 52732, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51428, 54119, 50828, 50799, 58436, 51344, 50849, 51843, 50845, 52341, 50967, 57714, 50967, 67277, 51497, 50849, 51839, 50845, 52576, 51428, 52493, 52981, 60755, 51569, 50849, 51849, 50845, 62492, 51856, 50849, 52074, 50845, 52426, 52732, 57466, 51854, 50967, 54338, 59204, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 57881, 51622, 50967, 53549, 58443, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 51849, 50967, 54111, 50967, 62492, 63084, 52426, 51626, 52493, 52878, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 58275, 51854, 50967, 54338, 58647, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 57297, 51849, 50967, 54111, 58760, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 50828, 50799, 60755, 60335, 51548, 51036, 52529, 51036, 62492, 63084, 52426, 51428, 52493, 52981, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52732, 52905, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 52152, 52844, 60755, 51569, 50845, 62492, 51856, 50845, 52426, 51428, 54119, 53219, 60755, 60335, 62492, 63084, 52426, 51626, 52493, 52878, 53923, 77143, 51507, 51428, 54119, 53035, 62998, 77088, 51632, 52152, 52738, 61016, 72347, 51598, 51626, 54119, 50828, 52198, 50828, 50799, 60755, 60335, 52341, 50967, 57714, 50967, 62492, 63084, 52426, 51428, 52493, 52981, 61016, 72347, 51598, 52732, 57466, 51854, 50967, 54338, 59204, 54266, 63639, 57219, 76709, 51598, 52152, 57881, 51622, 50967, 53549, 58443, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 53219, 61016, 51849, 50967, 54111, 50967, 72347, 51598, 51626, 52493, 52878, 54266, 63639, 57219, 76709, 51598, 52732, 58275, 51622, 50967, 53549, 58647, 54266, 63639, 57219, 76709, 51598, 52152, 57297, 51854, 50967, 54338, 58760, 54266, 63639, 57219, 76709, 51598, 51428, 54119, 50828, 50799, 61016, 51344, 51036, 52341, 51036, 72347, 51598, 51428, 52493, 52981 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 20535, 2810, 6, 3459, 13305, 6, 13305, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 274, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 6, 2351, 10, 19448, 8, 1372, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 80054, 51018, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52902, 58842, 55285, 50983, 50422, 52008, 51544, 59311, 53655, 50897, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 58413, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 55894, 51129, 51034, 55285, 51364, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 74909, 53655, 50897, 51414, 52972, 51239, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 50446, 51960, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51189, 52902, 57056, 55285, 50983, 50422, 60656, 74909, 53655, 50897, 51273, 50942, 52358, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51177, 55901, 56866, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50854, 51970, 51034, 55285, 51364, 52157, 51351, 52902, 55614, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 51471, 50430, 51261, 57181, 53655, 50897, 51414, 50812, 51273, 53197, 51044, 54034, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 54792, 51179, 56866, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 54006, 76887, 51140, 50833, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51191, 52194, 50917, 52902, 58842, 55285, 60055, 52178, 51121, 50422, 52008, 51544, 59971, 51261, 66855, 53655, 50897, 51273, 50878, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51121, 58413, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60672, 52178, 50917, 50443, 51414, 51111, 50446, 51140, 55966, 51129, 51034, 55285, 51364, 52157, 51562, 52178, 50937, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50420, 52377, 51101, 50422, 60656, 74909, 53655, 50897, 51414, 50812, 51261, 50942, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 50878, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51493, 58638, 51140, 50942, 51960, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51417, 52902, 57056, 55285, 50983, 50418, 54006, 65944, 53397, 51559, 52872, 53192, 51060, 74909, 53655, 50897, 53192, 51121, 52358, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51121, 55901, 56866, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50854, 52377, 51373, 50863, 51034, 55285, 51364, 52157, 51351, 52178, 50942, 52902, 55614, 51410, 51310, 51303, 51310, 51414, 51295, 50418, 52178, 65944, 52377, 51121, 60656, 51471, 50430, 51261, 61172, 53655, 50897, 51414, 50812, 51273, 50955, 52358, 54034, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 51121, 56239, 56866, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 50446, 51140, 50925, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51115, 52902, 58842, 55285, 50983, 50422, 52178, 50855, 57878, 53397, 51095, 52112, 50434, 53655, 50897, 51261, 50942, 54006, 53630, 51179, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51121, 53397, 51111, 58413, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50942, 53572, 52938, 51129, 51034, 55285, 51364, 52157, 51218, 53397, 51095, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 52178, 51267, 60656, 74909, 53655, 50897, 51414, 50812, 51261, 50878, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51273, 50955, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51560, 69775, 51493, 50822, 51968, 50830, 51960, 51034, 53075, 51103, 52326, 51127, 51476, 51077, 51303, 51183, 51140, 51295, 51702, 53590, 51179, 63672, 51702, 60171, 51702, 50942, 60656, 52377, 50937, 74909, 53248, 50987, 51687, 50865, 51793, 50854, 52377, 51056, 52358, 52896, 53655, 50812, 51410, 50955, 51930, 51177, 55901, 60604, 53075, 50897, 52303, 50812, 51303, 62604, 51150, 50878, 51968, 50878, 51970, 51034, 53075, 51127, 52326, 51183, 51476, 51077, 51303, 51413, 51140, 51351, 51702, 50878, 52902, 59740, 52377, 51056, 50422, 60656, 51471, 50430, 51140, 65053, 53248, 50987, 51687, 50910, 51303, 50874, 51493, 53197, 51044, 52896, 53655, 50897, 51410, 51110, 51560, 53825, 51179, 60604, 53075, 50977, 52303, 50912, 51303, 50897, 51461, 69775, 52659, 50925, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51397, 52451, 66898, 52592, 53201, 53125, 62321, 52902, 58842, 55285, 50983, 50422, 51702, 50855, 57878, 54006, 51100, 52112, 50434, 53655, 50897, 51261, 50810, 52377, 50925, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51194, 52178, 54690, 51239, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60672, 52178, 70981, 51414, 51111, 50446, 51140, 50854, 52377, 51221, 58539, 51034, 55285, 51364, 52157, 51241, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 51471, 50430, 51261, 61172, 53655, 50897, 51414, 50812, 51140, 50942, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 50854, 54575, 51862, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51461, 50878, 53125, 54071, 50446, 52659, 50833, 51960, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51562, 53125, 56515, 52902, 57056, 55285, 50983, 50422, 54006, 50910, 60656, 53397, 50862, 51471, 50430, 53397, 64160, 53655, 50897, 51261, 50878, 54006, 52784, 51044, 54034, 51410, 50844, 51651, 50867, 51414, 53415, 51560, 51177, 53572, 50917, 55901, 56866, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60964, 51414, 51111, 50446, 51140, 50942, 53397, 50897, 51970, 51034, 55285, 51364, 52157, 51191, 54006, 53632, 51179, 55614, 51410, 51310, 51303, 51310, 51414, 51295, 50417, 52178, 51221, 50422, 60656, 51471, 50430, 51261, 68163, 53655, 50897, 51414, 50812, 51140, 50878, 52358, 54034, 51410, 50844, 51651, 53891, 56139, 51286, 51560, 50833, 52796, 76396, 51179, 56866, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51461, 50878, 53125, 51697, 50446, 52659, 50812, 54006, 50910, 51034, 51414, 51295, 51410, 51310, 51303, 51318, 52157, 51562, 53397, 50854, 53125, 53866, 52902, 58842, 55285, 50983, 50418, 54006, 58745, 56476, 50889, 52008, 51544, 59311, 53655, 50897, 51261, 50955, 52902, 54034, 51410, 50844, 51651, 50867, 51414, 66144, 54006, 52781, 51560, 51121, 53397, 54690, 51239, 57014, 51687, 51162, 56139, 50967, 51231, 51162, 51414, 60672, 53397, 67157, 51414, 51111, 50446, 51140, 50942, 54006, 51003, 58539, 51034, 55285, 51364, 52157, 51413, 53125, 53866, 52902, 57056, 51410, 51310, 51303, 51310, 51414, 51295, 50422, 60656, 74909, 53655, 50897, 51414, 50812, 51261, 50955, 53752, 54950, 51410, 50844, 51651, 53891, 56139, 51286, 51273, 50955, 56239, 56484, 51687, 51112, 51231, 51377, 51414, 62438, 51414, 51111, 51560, 62604, 51493, 50854, 51702, 51582, 50870, 51034, 53075, 51446, 52326, 51189, 51476, 50983, 51303, 51189, 51140, 51417, 51702, 50917, 52892, 54373, 52592, 66898, 52898, 52829, 52620, 52432, 51702, 60010, 57451, 51702, 50849, 51931, 50434, 53248, 50878, 51687, 50940, 51793, 50942, 52377, 50849, 52902, 52621, 53655, 50800, 51410, 50942, 51930, 51121, 56239, 55201, 51968, 63773, 53075, 50910, 52303, 50808, 51303, 62150, 51150, 50810, 51702, 50873, 51842, 51034, 53075, 51413, 52326, 51189, 51476 ]

[ 0, 250, 33928, 8, 20425, 5175, 3495, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 10, 13305, 816, 34879, 11, 10, 7212, 20889, 4, 8504, 11, 5, 762, 9, 211, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 5, 33215, 16739, 9, 83, 406, 6, 274, 73, 250, 6, 1918, 406, 6, 83, 406, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 56387, 50879, 52176, 50923, 51144, 50893, 51119, 50893, 51275, 60247, 56387, 50800, 52176, 52935, 56387, 50800, 52176, 50821, 66243, 56387, 50833, 52176, 51820, 56387, 50833, 52176, 51757, 56387, 50810, 52176, 53987, 57279, 50991, 52746, 51427, 54458, 56387, 50879, 52176, 60247, 56387, 50800, 52176, 52935, 56387, 50800, 52176, 50821, 66243, 56387, 50833, 52176, 51820, 56387, 50833, 52176, 51757, 56387, 50810, 52176, 53987, 57279, 50991, 52746, 51427, 50799, 56387, 50879, 52176, 51012, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51198, 52734, 51198, 54156, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 55441, 51280, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51198, 52734, 51198, 54156, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51144, 55441, 78366, 50799, 56387, 50879, 52176, 50923, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51198, 52734, 51198, 54156, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 55441, 51280, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 54611, 51198, 53383, 51280, 55658, 51198, 53627, 56387, 50800, 52176, 53660, 51280, 53415, 51198, 54465, 51280, 54208, 51708, 53875, 51280, 50855, 50799, 56387, 50879, 52176, 50923, 51706, 50943, 51198, 50943, 51144, 52910, 51706, 51003, 51198, 51003, 51099, 55112, 56387, 50800, 52176, 52877, 51708, 51003, 51280, 51003, 51232, 52728, 51708, 51003, 51280, 51003, 75118, 50799, 56387, 50879, 52176, 50923, 51275, 54611, 51275, 53383, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 54465, 51153, 54208, 51119, 53875, 59632, 50799, 56387, 50879, 52176, 50923, 51275, 52734, 51275, 54156, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 55441, 51153, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 50844, 51275, 54611, 51198, 50886, 51275, 53901, 51280, 50854, 51153, 53847, 51198, 50810, 51275, 52559, 56387, 50800, 52176, 53660, 51280, 50810, 51153, 52599, 76348, 51275, 52510, 51280, 50813, 51153, 53688, 51708, 69863, 54166, 51280, 50813, 51153, 50840, 50799, 56387, 50879, 52176, 50923, 51198, 50833, 51275, 51835, 51198, 50813, 51275, 53548, 51280, 50854, 51153, 53847, 51198, 50810, 51275, 52559, 56387, 50800, 52176, 53660, 51280, 50810, 51153, 52599, 51144, 51003, 51308, 51003, 51275, 51003, 51435, 52728, 51099, 51003, 51308, 51003, 51275, 51003, 51516, 50889, 50799, 56387, 50879, 52176, 50923, 51275, 54611, 51275, 53383, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 54465, 51153, 54208, 51119, 53875, 59632, 50799, 56387, 50879, 52176, 50923, 51275, 52734, 51275, 54156, 51153, 55658, 51275, 53627, 56387, 50800, 52176, 53660, 51153, 53415, 51275, 55441, 51153, 50914, 50799, 56387, 50879, 52176, 50923, 51198, 50844, 51275, 54611, 51198, 50886, 51275, 53901, 51280, 50854, 51153, 53847, 51198, 50810, 51275, 52559, 56387, 50800, 52176, 53660, 51280, 50810, 51153, 52599, 76348, 51275, 52510, 51280, 50813, 51153, 53688, 51708, 69863, 54166, 51280, 50813, 51153, 50840, 64955, 50889, 51144, 50943, 51308, 50943, 73140, 51435, 52910, 53038, 50914, 51099, 51003, 51308, 51003, 51275, 51003, 51516, 53912, 51964, 50914, 51232, 51003, 51119, 51003, 51153, 51003, 51489, 52728, 51964, 50914, 51144, 51003, 51119, 51003, 51153, 51003, 51435, 50889, 50799, 56387, 50923, 52537, 51012, 52176, 74292, 52734, 51275, 53425, 51119, 50917, 51153, 50859, 50428, 51308, 55658, 51275, 65337, 51153, 52749, 51275, 59628, 51489, 54125, 73144, 51153, 66766, 51516, 55395, 51275, 50887, 51578, 60021, 56387, 51090, 52537, 51054, 52176, 50824, 51153, 55268, 51119, 55433, 56387, 50849, 52537, 50849, 52176, 50893, 51153, 50887, 50799, 55760, 50923, 53366, 51012, 51964, 74292, 52734, 51275, 53425, 51153, 58129, 51275, 56535, 51153, 54773, 51275, 62682, 55760, 51090, 53366, 51054, 51964, 54145, 51153, 63505, 55760, 50849, 53366, 50849, 51964, 50893, 50799, 60196, 50923, 52785, 51012, 53038, 74292, 52734, 51275, 53425, 60056, 51153, 66086, 51308, 55658, 70650, 51275, 65337, 51275, 64123, 51489, 59628, 51435, 59662, 51516, 54125, 51153, 50859, 51578, 60831, 51948, 53418, 51275, 50887, 51837, 60021, 60196, 51090, 52785, 51090, 53038, 50824, 51153, 55268, 51119, 55433, 60196, 50849, 52785, 50849, 53038, 50893, 51153, 50887, 50799, 70472, 50923, 56387, 50923, 53366, 74292, 52734, 51275, 53425, 51153, 58129, 51275, 56535, 51153, 54773, 60196, 50914, 53038, 50896, 51435, 59731, 55760, 50914, 51964, 51016, 51516, 51013, 69378, 52038, 52537, 50889, 51708, 51016, 52353, 58129, 52929, 53974, 52353, 56535, 51578, 54773, 52176, 72687, 50896, 52353, 61032, 52929, 54811, 52353, 56762, 51578, 54721, 51708, 50889, 51119, 51016, 52353, 59682, 52929, 54418, 52353, 57264, 51578, 50859, 74421, 50800, 51512, 50821, 52353, 58481, 52929, 54681, 52533, 50840, 51232, 50890, 52353, 55747, 51578, 53950, 53483, 51623, 51494, 51977, 52353, 58129, 52929, 53974, 52353, 56535, 51578, 54773, 52353, 61032, 52929, 54811, 52353, 56762, 51578, 54721, 52353, 59682, 52929, 54418, 52533, 50808, 51232, 50858, 52353, 57264, 53483, 50808, 74751, 51578, 50859, 72722, 51991, 51099, 52536, 52461, 54718, 51578, 55747, 52461, 53950, 52929, 54937, 52461, 56535, 52929, 54773, 52353, 55489, 52929, 56762, 52353, 54721, 52353, 59682, 52778, 54418, 51708, 50808, 74751, 54513, 57264, 52040, 50808, 51099, 50858, 53519, 50859, 68819, 51538, 51119, 51941, 55165, 54718, 55165, 55747, 58889, 53950, 55165, 54937, 55165, 56535, 58889, 54773, 55165, 55489, 55165, 56762, 58889, 54721, 52040, 50889, 51099, 51016, 55165, 55433, 58889, 57264, 65510, 50859, 64680, 50800, 51494, 50821, 59150, 62229, 53483, 50840, 51198, 54392, 52176, 51538, 51708, 51941, 50432, 65510, 56535, 58889, 54773, 55165, 61032, 53519, 54811, 54513, 56762, 52778, 54721, 55165, 59682, 53519, 54418, 54513, 57264, 52778, 50859, 50799, 52353, 58292, 52537, 50889, 51708, 51016, 52353, 58129, 52929, 53974, 52353, 55395, 52176, 72687, 50896, 51578, 55489, 52353, 56762, 52929, 54721, 51708, 50889, 51119, 51016, 52353, 55433, 51578, 50887, 74421, 50800, 51512, 50821, 52353, 58481, 52929, 54681, 52533, 50840, 51232, 50890, 52353, 54818, 53483, 51623, 51494, 51977, 51578, 54937, 52353, 56535, 52929, 54773, 52353, 55489, 51578, 55433, 52040, 50808, 51232, 56860, 51847, 50808, 74751, 61310, 51933, 51099, 51655, 50426, 71498, 51435, 55214, 51308, 50805, 51275, 54993, 51308, 50805, 51639, 52692, 51516, 50889, 51948, 58833, 67731, 50452, 53483, 55874, 51869, 64848, 52477, 52955, 51708, 50812, 51516, 50901, 52353, 71295, 51706, 54421, 52040, 60091, 51280, 50887, 54458, 51198, 51264, 51099, 51696, 51308, 51655, 50419, 50630, 50420, 51516, 50901, 51948, 50805, 50424, 50629, 50426, 52353, 51077 ]

[ 0, 250, 2635, 8, 5679, 26709, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 20, 13305, 1974, 5, 1049, 33301, 150, 145, 7513, 30, 10, 1515, 21305, 8, 21072, 4, 85, 16, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 1510, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 50856, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 56697, 50906, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 63719, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 50856, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 56697, 50906, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 63719, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52208, 52020, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 50856, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 56697, 50906, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 63719, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 68615, 51184, 54048, 51352, 54634, 51184, 51533, 51184, 51206, 51184, 50856, 50974, 50415, 52408, 57214, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52412, 71824, 56391, 53774, 50873, 54277, 56473, 56697, 54888, 50873, 52695, 56473, 56711, 53774, 50873, 54277, 50879, 54048, 54158, 50974, 50799, 52479, 51352, 52490, 51184, 54048, 51795, 54634, 51184, 51533, 51184, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52464, 50873, 51946, 56473, 56391, 53774, 50873, 54277, 56473, 56697, 52408, 50824, 54888, 50873, 52695, 56473, 56711, 53774, 50873, 54277, 50879, 54048, 54158, 50974, 50799, 52276, 51732, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52208, 52020, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52369, 52020, 51352, 53631, 51352, 51137, 51352, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 50824, 51874, 50824, 52595, 50824, 54380, 50824, 51132, 55415, 56711, 50856, 50974, 50799, 52408, 51009, 52490, 51795, 54048, 51352, 54634, 51795, 51533, 51795, 51206, 51184, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52412, 71824, 56391, 53774, 50873, 54277, 56473, 56697, 54888, 50873, 52695, 56473, 56711, 53774, 50873, 54277, 50879, 54048, 54158, 50974, 50799, 52117, 51352, 52490, 51407, 54048, 51352, 54634, 51407, 51533, 51407, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 53774, 50873, 54277, 56473, 56298, 52464, 50873, 51946, 56473, 56391, 53774, 50873, 54277, 56473, 56697, 52412, 50824, 54888, 50873, 52695, 50879, 52490, 50824, 54048, 50824, 54634, 50824, 51533, 55415, 56711, 53774, 50873, 54277, 56473, 50974, 50799, 52276, 51732, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52208, 52020, 51795, 53631, 51795, 51137, 51795, 50856, 50974, 54569, 51795, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 55415, 56711, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 52293, 51795, 55617, 51795, 51526, 51795, 50856, 50974, 55961, 51795, 70875, 63158, 56307, 50876, 51009, 50902, 51352, 50931, 51352, 57695, 63158, 55544, 54786, 63158, 56298, 54091, 63158, 56391, 54786, 63158, 56697, 50906, 50824, 57695, 63158, 56711, 70875, 50923, 51874, 50802, 54380, 50802, 51132, 54158, 50974, 50799, 65959, 52369, 52020, 51352, 53631, 51352, 51137, 51352, 50856, 50974, 54569, 51352, 50856, 50974, 56207, 51009, 50906, 51352, 50902, 51352, 50856, 55544, 50856, 56298, 50856, 56391, 50856, 50974, 56222, 50824, 51874, 50824, 52595, 50824, 54380, 50824, 51132, 55415, 56711, 50856, 50974, 50799, 52276, 51029, 53774, 50873, 54888, 50873, 54277, 50879, 52695, 50879, 52490, 51009, 54048, 51009, 54634, 51009, 51533, 51009, 51206, 51184, 50856, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 52412, 51029, 53774, 51218, 54888, 51218, 54277, 51364, 52695, 51364, 50856, 56298, 52293, 51009, 55617, 51009, 51526, 71824, 56391, 50856, 56697, 53355, 55415, 56711, 50856, 50974, 50799, 52276, 51029, 53774, 50873, 54888, 50873, 54277, 50879, 52695, 50879, 52490, 51009, 54048, 51009, 54634, 51009, 51533, 71824, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 52412, 51029, 53774, 51218, 54888, 51218, 54277, 51364, 52695, 51364, 50856, 56298, 52293, 51009, 55617, 51009, 51526, 71824, 56391, 50856, 56697, 53355, 55415, 56711, 50856, 50974, 50799, 52276, 51029, 53774, 50873, 54888, 50873, 54277, 50879, 52695, 50879, 52490, 51009, 54048, 51009, 54634, 51009, 51533, 71824, 58879, 53774, 50873, 54277, 56473, 56307, 54888, 50873, 52695, 56473, 55544, 52412, 51029, 53774, 51218, 54888, 51218, 54277, 51364, 52695, 51364, 50856, 56298, 52293, 51009 ]

[ 0, 250, 15352, 30054, 5175, 1619, 2214, 4246, 13305, 6, 21072, 6, 769, 196, 6757, 6, 38668, 22052, 6, 8, 81, 9756, 8669, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 211, 538, 6, 19, 10, 33215, 16739, 9, 211, 119, 1176, 406, 6, 272, 73, 495, 6, 163, 119, 6, 83, 6, 8, 163, 119, 4, 20, 1374, 6711, 16, 19448, 6, 5679, 26709, 6, 8, 1372, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50796, 50444, 51669, 55932, 52257, 53409, 53876, 57886, 54797, 52485, 52807, 57023, 52257, 50846, 50799, 57848, 51945, 52769, 51991, 51669, 50915, 52043, 51343, 52257, 51189, 54797, 73576, 51669, 51172, 52043, 51172, 52257, 51484, 54797, 78151, 51669, 55761, 52257, 53409, 53876, 62172, 54797, 52485, 52807, 56132, 52257, 50846, 50799, 52806, 51452, 56090, 51675, 51607, 51162, 52043, 51294, 52257, 51204, 52807, 78797, 51607, 52946, 50432, 51607, 51642, 52043, 51645, 52257, 51645, 52807, 51645, 50444, 51669, 55245, 53876, 58215, 54797, 52349, 52807, 56132, 52257, 50884, 50799, 57848, 51518, 52769, 51518, 51669, 51346, 52043, 51362, 52257, 51204, 54797, 51204, 50426, 51669, 57959, 51669, 51797, 52043, 51484, 52257, 51253, 54797, 52188, 50444, 51669, 55268, 53876, 56353, 54797, 52485, 52807, 56132, 52257, 50828, 71862, 51353, 51614, 51351, 51440, 51238, 51607, 51141, 52043, 51295, 52257, 79416, 51440, 72883, 51440, 51108, 51607, 51466, 52043, 51108, 52257, 51333, 50433, 51614, 51642, 50444, 51614, 57764, 50624, 50450, 51614, 51097, 51440, 51008, 51669, 50995, 53335, 80245, 51607, 51484, 50457, 51440, 51058, 50799, 57848, 52071, 52769, 51097, 51614, 51480, 51660, 50981, 51434, 50981, 51808, 60324, 51614, 50870, 54615, 51736, 51614, 50915, 51660, 51003, 51434, 50981, 51808, 50995, 52769, 51535, 53918, 53263, 54615, 51110, 50443, 52817, 56508, 51614, 51423, 51660, 51101, 51434, 51242, 51808, 68590, 52769, 61545, 53200, 50844, 50799, 57848, 51714, 52769, 51803, 51614, 51025, 51660, 51377, 51434, 51312, 51808, 50995, 54615, 52774, 53918, 67761, 54615, 60412, 53036, 58191, 51614, 51480, 51660, 51312, 51434, 51109, 51808, 51097, 52817, 72758, 52769, 53010, 50450, 51614, 51101, 51660, 50845, 51434, 50901, 51808, 54509, 52769, 50837, 50799, 56090, 52071, 52806, 50995, 51774, 51124, 51660, 50943, 51434, 51003, 51440, 50915, 50423, 53664, 53425, 51774, 50971, 53036, 54729, 52806, 51318, 51774, 51419, 51660, 51134, 51434, 51391, 51440, 51542, 54615, 76013, 53036, 51364, 50450, 51774, 51178, 51660, 51178, 51434, 51194, 51440, 70854, 52806, 50834, 54615, 51060, 71862, 51790, 51774, 51194, 51660, 51003, 51434, 51003, 53036, 51933, 50426, 51774, 53962, 51774, 51121, 51660, 50914, 51434, 60510, 51774, 58271, 53722, 51101, 51614, 50905, 51944, 51177, 51440, 50849, 50799, 57848, 52069, 52769, 51312, 51614, 50849, 51660, 51157, 51434, 51157, 51808, 51267, 50423, 53200, 52329, 51614, 50870, 54615, 54729, 51808, 51003, 52769, 51127, 51614, 51003, 51660, 50889, 51434, 50889, 53918, 55632, 54615, 69994, 52817, 59731, 51808, 50838, 51614, 51008, 51660, 51481, 51434, 54771, 51614, 50863, 52769, 55397, 53200, 50887, 50799, 57848, 51991, 52769, 51591, 51614, 50937, 51660, 51056, 51434, 51048, 51808, 51056, 54615, 56179, 53918, 73427, 54615, 65708, 53036, 53974, 51614, 51043, 51660, 51312, 51434, 51056, 51808, 51109, 52817, 51364, 50444, 52769, 51884, 50450, 51614, 51111, 51660, 51111, 51434, 51060, 51808, 70854, 52769, 51128, 50799, 56090, 51714, 52806, 51391, 51774, 51363, 51660, 51267, 51434, 51267, 51440, 51312, 50423, 53664, 52329, 53036, 54729, 52806, 50981, 51774, 50845, 51660, 51134, 51434, 51134, 51440, 51134, 54615, 51646, 53036, 51362, 50444, 51774, 54626, 51774, 51043, 51660, 51178, 51434, 51194, 51440, 51178, 50453, 53719, 53312, 52806, 50829, 71862, 51742, 51774, 50845, 51660, 51043, 51434, 57933, 53719, 51291, 50426, 51774, 60838, 51774, 51254, 51660, 51330, 51434, 75589, 53722, 51101, 51614, 50901, 51944, 51100, 51440, 51111, 50799, 55243, 51204, 51614, 50914, 51660, 51204, 51434, 51091, 51808, 51241, 50423, 53200, 53049, 53719, 51736, 55243, 51115, 51614, 50849, 51660, 50807, 51434, 50807, 51808, 50943, 54375, 54125, 52817, 70595, 51614, 50827, 54615, 60866, 51614, 51101, 51660, 51121, 51434, 51060, 51808, 73575, 54615, 56132, 54615, 50918, 50799, 54437, 51115, 52769, 51003, 51774, 51178, 51660, 51218, 51434, 51141, 51808, 79416, 51774, 56504, 52769, 52896, 53722, 51295, 52806, 51003, 51614, 51203, 51944, 51203, 51440, 51025, 51669, 51412, 54615, 52728, 51614, 51100, 51944, 50873, 51440, 51121, 51669, 55345, 52806, 50864, 50799, 54437, 52151, 52769, 51677, 51660, 51003, 51808, 51419, 51774, 51255, 51434, 50981, 50417, 53664, 55777, 54615, 58292, 51774, 50863, 54615, 57611, 51434, 50914, 51808, 51003, 51774, 51191, 51660, 50943, 54615, 58818, 54615, 64127, 53719, 55268, 51774, 50905, 51660, 50873, 51434, 50901, 51808, 50892, 52817, 80049, 54615, 51345, 50456, 52769, 50837, 67547, 51267, 51944, 51056, 51440, 51267, 51669, 51267, 53722, 51413, 52806, 51446, 50417, 54615, 52910, 51614, 51534, 51944, 51423, 51440, 51642, 51669, 72762, 52806, 51283, 51434, 51412, 51607, 51255, 53722, 51283, 51774, 51337, 51660, 65029, 51614, 51212, 51944, 50901, 51440, 50974, 51669, 51255, 50799, 57848, 51945, 52769, 50915, 51614, 51178, 51660, 50914, 51434, 50915, 51808, 51003, 50423, 53200, 54818, 51614, 50941, 54615, 52309, 52769, 51189, 51614, 51221, 51660, 50889, 51434, 50889, 51808, 50914, 53918, 69740, 54615, 69994, 52817, 78795, 51614, 58271, 51614, 51309, 51660, 51233, 51434, 51178, 51808, 51412, 50456, 52769, 54603, 53200, 50859, 67547, 50915, 51808, 51134, 57848, 51945, 52769, 51077, 51660, 51003, 51434, 50914, 54615, 56763, 53918, 75177, 54615, 77198, 53036, 54725, 51614, 51191, 51660, 51204, 51434, 51294, 51808, 51241, 50434, 52817, 53218, 52769, 68366, 51614, 50827, 51660, 50844, 51434, 50854, 51808, 53820, 51614, 66430, 53719, 50813, 50799, 56090, 51189, 52806, 51241, 51774, 51377, 51660, 51157, 51434, 51159, 51440, 51056, 53036, 59492, 51774, 51124, 51660, 51178, 51434, 51221, 51440, 75359, 52806, 50904, 54615, 76622, 51774, 51377, 51660, 51377, 51434, 51400, 51440, 51025, 53722, 51134, 53036, 51343, 50450, 51774, 50933, 51660, 51058, 51434, 50978, 51440, 70347, 52817, 75331, 50625, 57448, 57848, 51204, 52769, 51191, 51614, 50915, 51660, 50943, 51434, 50943, 51808, 51134, 50953, 51364, 56141, 52536, 52817, 51896, 51137, 51364, 51456, 59757, 51456, 58980, 51224, 55800, 51289, 54562, 57848, 51056, 52769, 51048, 51614, 51013, 51660, 50896, 51808, 50807, 51434, 51016, 50953, 51896, 51137, 51896, 62273, 53219, 50625, 50441, 51456, 55186, 51456, 55254, 51660, 50387, 53120, 54450, 56141, 50910, 51289, 59426, 60541, 63838, 50961, 71862, 50812, 51774, 50812, 51660, 50808, 51434, 50833, 51440, 50833, 68755, 50701, 50342, 51264, 51181, 50952, 77412, 53023, 53722, 50991, 51774, 51221, 51660, 51110, 51434, 51221, 51440, 51255, 50927, 51055, 51181, 51073, 62273, 52667, 53722, 51294, 51774, 51091, 51660, 51091, 51434, 51191, 51440, 51191, 50927, 51685, 51181, 51896, 51935, 52388, 60464, 53200, 69520, 55186, 53918, 50893, 51224, 55254, 51660, 51400, 51434, 51312, 51440, 51253, 53722, 51480, 51774, 51411, 54615, 50893, 51289, 54450, 53036, 50911, 51289, 50961, 50799, 57848, 51605, 52769, 51345, 51614, 50807, 51434, 51013, 51808, 50943, 51669, 50943, 50953, 51364, 50701, 50342, 52122, 54615, 51343, 56266, 51295, 56007, 51692, 61091, 51295, 51137, 51364, 77412, 53023, 50856, 52712, 52769, 54546, 55019, 51989, 53644, 52769, 51162, 51614, 51013, 51944, 50914, 51440, 50914, 51669, 50914, 50953, 51977, 54615, 51274, 54628, 51562, 63213, 51562, 51137, 51896, 58994, 53116 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 3495, 12, 6930, 18731, 24904, 6, 42, 765, 2214, 11, 230, 538, 1575, 10, 3152, 6757, 981, 5, 169, 6, 2800, 30, 3459, 9590, 6, 21072, 6, 3459, 8669, 6, 8, 38668, 20535, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 33928, 8, 19448, 2125, 14, 115, 1807, 157, 25, 3618, 930, 11, 10, 2365, 2749, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50927, 56429, 62745, 50964, 56429, 52302, 51069, 51012, 69063, 50883, 51544, 53644, 51069, 51012, 65352, 51392, 50949, 51570, 53027, 51069, 51012, 51479, 55245, 52261, 50456, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 57606, 66670, 53358, 55229, 51069, 51505, 52105, 77719, 51505, 50801, 56339, 54968, 51069, 50950, 51471, 50441, 50927, 57565, 51479, 55245, 67920, 65352, 51392, 50949, 52288, 63186, 59757, 50964, 58609, 51069, 51138, 51479, 50961, 51544, 52667, 51069, 68391, 56339, 50949, 51570, 52875, 51069, 51138, 51479, 55245, 51762, 65095, 56339, 50949, 50799, 52261, 50417, 51069, 57606, 51069, 55572, 50898, 55229, 51069, 51012, 74270, 74802, 65352, 51392, 54968, 51069, 52516, 66065, 50927, 77762, 53358, 55245, 79785, 58144, 51392, 50949, 57752, 56051, 51069, 51138, 51011, 51138, 51881, 51732, 51615, 51732, 51711, 51732, 53358, 50949, 51544, 52927, 51069, 51138, 75344, 50748, 50289, 51732, 50748, 50304, 51732, 65352, 51392, 50949, 51570, 53044, 66670, 51011, 51138, 53358, 55245, 52093, 50456, 58144, 51392, 50949, 50799, 51762, 50417, 51069, 50950, 51011, 58609, 51069, 51031, 51011, 58484, 51392, 55229, 51069, 51012, 51011, 51138, 51956, 50432, 74442, 51133, 51012, 58144, 51392, 54968, 51069, 50950, 51011, 50950, 51471, 50441, 72308, 51271, 77762, 51479, 55245, 76199, 58144, 51392, 50949, 52288, 50950, 51271, 58052, 59757, 61262, 50950, 65763, 51133, 58609, 66670, 51011, 51138, 51479, 50961, 51544, 53644, 66670, 51011, 51045, 65352, 51392, 50949, 51570, 53806, 66670, 51011, 51138, 53358, 55245, 52093, 50456, 65352, 51392, 50949, 53028, 54639, 51069, 51031, 51011, 56621, 51069, 50859, 51011, 53672, 51392, 56828, 51069, 50882, 51011, 54856, 51069, 51031, 51011, 51392, 52975, 74802, 51133, 51012, 65352, 51392, 54968, 51069, 50950, 51011, 52516, 57681, 50927, 51045, 51271, 73136, 51479, 50961, 51618, 55254, 51068, 58611, 54450, 50801, 51928, 54886, 54508, 55947, 50961, 53028, 52302, 77764, 52949, 55024, 63239, 53087, 52949, 51739, 53644, 77764, 52949, 55024, 54844, 51392, 54968, 52949, 51739, 53027, 77764, 52301, 50923, 51479, 55245, 52301, 51130, 55647, 52949, 54712, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 50880, 52949, 57188, 51069, 50921, 51953, 55024, 51392, 55229, 51069, 51286, 51953, 51739, 52925, 50964, 51388, 51953, 55461, 56339, 57244, 51953, 57174, 51069, 50821, 51471, 50441, 65895, 51914, 60159, 51479, 55245, 67920, 65352, 51392, 50949, 52534, 50834, 50927, 66097, 59757, 50964, 53113, 69703, 52949, 53703, 50898, 55800, 52949, 50962, 52261, 50432, 51069, 51021, 52949, 55461, 56339, 54968, 52949, 50962, 51956, 50441, 52949, 57736, 69703, 52301, 55461, 50898, 58017, 52301, 55230, 51762, 50453, 52949, 54403, 50801, 56339, 50949, 50799, 52261, 50417, 51069, 50930, 52949, 57242, 51069, 50896, 51953, 55461, 50898, 55229, 51953, 51594, 53670, 61499, 51953, 55461, 54844, 51392, 57244, 51953, 55381, 51069, 51594, 66065, 78770, 51914, 57736, 53358, 55245, 79785, 58144, 51392, 50949, 50799, 51859, 59057, 59757, 51953, 57242, 50945, 50962, 51859, 55024, 63239, 55133, 51859, 54631, 50945, 51739, 53644, 65352, 51392, 57244, 50945, 55734, 51859, 50962, 51842, 50441, 51213, 50930, 51859, 54952, 68489, 73252, 51676, 55461, 50898, 58017, 51133, 51379, 51676, 56604, 52261, 50453, 52301, 51460, 50456, 50964, 51021, 65352, 50898, 50949, 50799, 52008, 50417, 52301, 55492, 72865, 51859, 55024, 51392, 55229, 50945, 51014, 51859, 51739, 52925, 53088, 55572, 56339, 57244, 72865, 51914, 55381, 51471, 50441, 51213, 50962, 52301, 66066, 50953, 51030, 51479, 55245, 67920, 50964, 51735, 65352, 51392, 50949, 57752, 56051, 72865, 51859, 55461, 50898, 55800, 72865, 51859, 51014, 52261, 53782, 56339, 57244, 72865, 51859, 50882, 51570, 54656, 51213, 50962, 52421, 57736, 50953, 51014, 51676, 55461, 50898, 58017, 51133, 51354, 51676, 61208, 67920, 50964, 51021, 52301, 55024, 56339, 50949, 50799, 52261, 50420, 65895, 51914, 55461, 50898, 55229, 65895, 51914, 50962, 74270, 67390, 51914, 55461, 54844, 51392, 57244, 51914, 70228, 69828, 53088, 55589, 66065, 51019, 51014, 50945, 54952, 51953, 55572, 51392, 58017, 50816, 50895, 51899, 51139, 50846, 54706, 54210, 50964, 51735, 76458, 53316, 57841, 58074, 57752, 56051, 77764, 51571, 51138, 69063, 50883, 51544, 53644, 77764, 65352, 51392, 50949, 51570, 53027, 77764, 51479, 55245, 52261, 50456, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 50880, 52949, 57242, 51069, 50921, 52949, 53703, 51392, 55229, 51069, 51286, 52949, 51014, 52105, 77719, 51388, 52301, 57169, 56339, 54968, 51069, 50821, 52949, 50962, 51471, 50441, 65895, 51914, 66066, 51479, 55245, 67920, 52705, 51152, 52409, 51392, 50949, 52534, 50834, 50927, 66097, 59757, 50964, 53113, 69703, 51479, 50961, 51544, 52667, 51069, 65398, 56339, 50949, 51570, 52875, 69703, 51479, 55245, 51762, 65095, 56339, 50949, 50799, 52261, 50417, 51069, 50930, 52949, 57606, 51069, 50896, 52949, 54405, 50898, 56828, 52949, 53939, 52949, 51010, 74270, 61499, 52301, 51045, 65352, 51392, 54968, 51069, 50882, 52949, 51130, 66065, 78770, 51914, 77762, 53358, 55245, 52112, 65095, 51928, 54844, 51392, 57841, 53088, 50962, 51953, 51014, 57752, 59757, 51953, 55446, 77764, 51914, 55461, 63239, 55133, 51914, 56667, 52301, 54065, 53644, 77764, 52949, 51138, 65352, 51392, 54968, 51953, 51508, 55788, 51953, 55933, 77764, 51914, 55024, 50898, 58017, 51914, 56604, 52301, 51138, 52261, 50456, 52949, 51483, 65352, 50898, 50949, 50799, 52008, 50417, 51069, 50880, 52949, 57188, 51069, 50921, 51953, 51045, 53358, 55229, 51069, 51286, 51953, 51045, 52105, 77719, 51388, 51953, 57888, 56339, 57244, 51953, 64543, 51069, 50821, 51471, 50441, 65895, 51914, 77762, 51479, 55245, 67920, 65352, 51392, 50949, 52534, 50834, 50927, 66097, 59757, 50964, 53113, 51205, 51012, 52484, 50823, 53144, 50823, 51479, 50961, 51544, 52667, 50801, 56339, 54968, 51205, 50950, 52484, 50858, 53144, 51010, 51956, 50441, 65763, 52484, 50949, 53144, 57736, 72308, 51409, 50860, 51914, 53558, 50898, 55245, 72308, 51409, 50803, 51914, 50950, 67920, 50927, 51735, 51409, 51072, 51914, 51735, 50801, 56339, 50949, 50799, 52261, 50420, 51205, 51138, 52484, 50860, 53144, 57888, 50898, 56828, 53144, 57480, 53144, 50950, 74270, 51914, 51138, 65352, 51392, 54968, 53144, 52853, 66065, 51953, 57565, 53358, 55245, 79785, 50964, 51735, 51767, 54774, 52050, 51392, 50949, 57752, 56051, 51069, 51138, 51571, 50803, 51881, 51732, 51615, 51732, 51711, 51732, 53358, 50949, 51544, 52927, 51069, 51138, 50748, 50289, 51732, 50748, 50304, 51732, 65352, 51392, 50949, 51570, 53044, 66670, 53358, 55245, 52093, 50456, 58144, 51392, 50949, 50799, 51762, 50417, 51069, 58609, 51069, 58484, 51392, 55229, 51069, 51012, 51956, 50432, 74442, 58144, 51392, 54968, 51069, 50950, 51471, 50441, 50927, 57565, 51479, 55245, 76199, 58144, 51392, 50949, 52288, 58052, 59757, 61262, 50950, 50964, 58609, 66670, 51479, 50961, 51544, 53644, 66670, 65352, 51392, 50949, 51570, 53806, 66670, 53358, 55245, 52093, 50456, 65352, 51392, 50949, 53028, 54639, 51069, 56621, 51069, 53841, 51392, 56828, 51069, 54856, 51069, 51392, 52975, 74802, 65352, 51392, 54968, 51069, 52516, 57681, 50927, 77762, 51479, 50961, 51618, 55254, 51068, 51858, 54450, 50801, 51928, 55720, 54508 ]

[ 0, 250, 15352, 30054, 5175, 2125, 19, 25771, 4785, 6, 4246, 10, 13305, 816, 11, 10, 7212, 155, 73, 398, 86, 6543, 4, 20, 2214, 16, 11, 5, 762, 9, 83, 538, 6, 19, 5, 40286, 381, 8, 1918, 8165, 1328, 4, 2285, 63, 765, 13428, 6, 24, 10200, 7, 35334, 10, 1186, 9, 6711, 29, 6, 31, 20425, 7, 19448, 6, 19, 10, 11602, 9, 15073, 6, 442, 24, 10686, 13, 304, 11, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52323, 50628, 52323, 50902, 66982, 79193, 75856, 51114, 52688, 50999, 53052, 51146, 52718, 51787, 56943, 56350, 51814, 50838, 52323, 51487, 77955, 51592, 50877, 75856, 51430, 52688, 51399, 53052, 50999, 52718, 50951, 53624, 50968, 50838, 52323, 51114, 58754, 51592, 50877, 75856, 50999, 52688, 50951, 53052, 51114, 52718, 50968, 53624, 50902, 50838, 52323, 51028, 59389, 50918, 51027, 51677, 67855, 53770, 50902, 54100, 51028, 54137, 50973, 58127, 53218, 50877, 50905, 52323, 50902, 74468, 51490, 50899, 52528, 50420, 51114, 55752, 50999, 57524, 51146, 55659, 51787, 65351, 67302, 51814, 51074, 52323, 51487, 52216, 50305, 52528, 50877, 52528, 50420, 51430, 55752, 51399, 57524, 50999, 55659, 50951, 59837, 50968, 51074, 52323, 51114, 71066, 52528, 50877, 52528, 50420, 50999, 55752, 50951, 57524, 51114, 55659, 50968, 59837, 50902, 51074, 52323, 50877, 52026, 50301, 52140, 50999, 52140, 56248, 51108, 57267, 51108, 52323, 50902, 66982, 79193, 75856, 51114, 52688, 50999, 53052, 51146, 52718, 51787, 56943, 56350, 51814, 50838, 52323, 51487, 77955, 51592, 50877, 75856, 51430, 52688, 51399, 53052, 50999, 52718, 50951, 53624, 50968, 50838, 52323, 51114, 58754, 51592, 50877, 75856, 50999, 52688, 50951, 53052, 51114, 52718, 50968, 53624, 50902, 50838, 52323, 51028, 59389, 50918, 51027, 51677, 67855, 53770, 50902, 54100, 51028, 54137, 50973, 58127, 53218, 50877, 50905, 52323, 50902, 74468, 65842, 52528, 50420, 51114, 55752, 50999, 57524, 51146, 55659, 51787, 65351, 53218, 51814, 51074, 52323, 51487, 52216, 50305, 52528, 50877, 52528, 50420, 51430, 55752, 51399, 57524, 50999, 55659, 50951, 59837, 50968, 51074, 52323, 51114, 71066, 52528, 50877, 52528, 50420, 50999, 55752, 50951, 57524, 51114, 55659, 50968, 59837, 50902, 51074, 52323, 51027, 65186, 67095, 51314, 71241, 57543, 52424, 50916, 58794, 74018, 51283, 52323, 50956, 75856, 51220, 52688, 51114, 53052, 50951, 52718, 50999, 53624, 51114, 50838, 52323, 50999, 62215, 51592, 50916, 51592, 50861, 75856, 50951, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 51147, 77955, 51592, 50916, 75856, 50999, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 50951, 58754, 51592, 50989, 75856, 51114, 52688, 50902, 53052, 50968, 52718, 51114, 53624, 50902, 50838, 52323, 50951, 51644, 50303, 51148, 50899, 53413, 50420, 51114, 54335, 50951, 54100, 50999, 53913, 51220, 74682, 60510, 51399, 50901, 52323, 51146, 51458, 50298, 70704, 51399, 53890, 51146, 54259, 50999, 54233, 51220, 69324, 58141, 50951, 50873, 52323, 51114, 58754, 51080, 51027, 51592, 63766, 52688, 51114, 53052, 50999, 52718, 50951, 77955, 56350, 50968, 50838, 52323, 50989, 55673, 58754, 51592, 55902, 55648, 52688, 50877, 61907, 53052, 50861, 57022, 52718, 50989, 57883, 53624, 50916, 64079, 50932, 52323, 50956, 51592, 50989, 75856, 51220, 52688, 51114, 53052, 50951, 52718, 50999, 53624, 51114, 50838, 52323, 50999, 62215, 75856, 50951, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 51147, 77955, 51592, 50916, 75856, 50999, 52688, 50968, 53052, 51114, 52718, 50951, 53624, 50968, 50838, 52323, 50951, 58754, 75856, 51114, 52688, 50902, 53052, 50968, 52718, 51114, 53624, 50902, 50838, 52323, 50951, 51644, 50303, 51148, 50899, 53413, 50420, 51114, 54335, 50951, 54100, 50999, 53913, 51220, 74682, 60510, 51399, 50901, 52323, 51146, 51458, 50298, 70704, 51399, 53890, 51146, 54259, 50999, 54233, 51220, 69324, 58141, 50951, 50873, 52323, 51114, 58754, 51080, 51027, 51592, 63766, 52688, 51114, 53052, 50999, 52718, 50951, 77955, 56350, 50968, 50838, 52323, 50899, 75657, 60934, 50999, 50932, 52323, 51081, 64569, 52916, 50899, 52916, 50420, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 52916, 50916, 52916, 50420, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50916, 53164, 50325, 51080, 51027, 52916, 53645, 54498, 50861, 65521, 50932, 52323, 50871, 57777, 63030, 51518, 55902, 52688, 50877, 53052, 50861, 52718, 50871, 60472, 56350, 50916, 50892, 52323, 51081, 58754, 52916, 50420, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 52916, 50916, 51922, 50420, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50999, 51551, 51027, 52916, 53645, 54498, 50861, 65521, 50932, 52323, 50899, 68026, 75657, 60934, 50999, 50932, 52323, 51081, 64569, 52916, 50899, 52916, 50420, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 51592, 50916, 75856, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50916, 53164, 50325, 51870, 51027, 52916, 53645, 54498, 50861, 65521, 50889, 52323, 50871, 57777, 63030, 51518, 55902, 52688, 50877, 53052, 50861, 52718, 50871, 60472, 56350, 50916, 50892, 52323, 51081, 58754, 51592, 50871, 75856, 50999, 52688, 50931, 54498, 50999, 50932, 52323, 51081, 77955, 52916, 50916, 51922, 50420, 50999, 52688, 50968, 54498, 50999, 50932, 52323, 50999, 51080, 51027, 52916, 53645, 54498, 50861, 65521, 50932, 52323, 50899, 68026, 75657, 51080, 60496, 50932, 52323, 50931, 63030, 51703, 50871, 75656, 51080, 60718, 54498, 51027, 65377, 59219, 65521, 50932, 52323, 50931, 63030, 51244, 50871, 75656, 51080, 60718, 54498, 51027, 68184, 60268, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 64291, 60015, 65521, 50932, 52323, 50877, 54869, 51028, 53052, 50968, 52718, 50999, 50932, 52323, 50931, 63030, 51447, 50871, 75656, 51080, 60718, 54498, 51027, 72272, 61817, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 68368, 59460, 65521, 50932, 52323, 50931, 63030, 51336, 50871, 75656, 51080, 60718, 54498, 51027, 53531, 50308, 73523, 65521, 50932, 52323, 50902, 54869, 50931, 53052, 50999, 52718, 51146, 50932, 52323, 50931, 63030, 51009, 50871, 75656, 51080, 60718, 54498, 51027, 62195, 60169, 65521, 50932, 52323, 50931, 63030, 51336, 50871, 75656, 51080, 60718, 54498, 51027, 64291, 60015, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 65377, 59219, 65521, 50932, 52323, 50877, 54869, 51028, 53052, 50968, 52718, 50999, 50932, 52323, 50931, 63030, 51447, 50871, 75656, 51080, 60718, 54498, 51027, 72272, 61817, 65521, 50932, 52323, 50931, 63030, 51047, 50871, 75656, 51080, 60718, 54498, 51027, 68368, 59460, 65521, 50932, 52323, 50931, 63030, 51336, 50871, 75656, 51080, 60718, 54498, 51027, 53531, 50308, 73523, 65521, 50932, 52323, 50902, 54869, 50931, 53052, 50999, 52718, 51146, 50932, 52323, 50902, 66982, 79193, 75856, 51114, 52688, 50999, 53052, 51146, 52718, 51787, 56943, 56350, 51814, 50838, 52323, 51487, 77955, 51592, 50877, 75856, 51430, 52688, 51399, 53052, 50999, 52718, 50951, 53624, 50968, 50838, 52323, 51114, 58754, 51592, 50877, 75856, 50999, 52688, 50951, 53052, 51114, 52718, 50968, 53624, 50902, 50838, 52323, 51028, 59389, 51080, 51027, 51677, 67855, 53770, 50902, 54100, 51028, 54137, 50973, 58127, 56350, 50877, 50905, 52323, 50902, 74468, 79193, 52528, 50420, 51114, 55752, 50999, 57524, 51146, 55659, 51787, 65721, 56350, 51814, 51074, 52323, 51487, 52216, 50305, 52528, 50877, 75856, 51430, 55752, 51399, 57524, 50999, 55659, 50951, 59837, 50968, 51074, 52323, 51114, 71066, 52528, 50877, 75856, 50999, 55752, 50951, 57524, 51114, 55659, 50968, 59837, 50902, 51074, 52323 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 11, 230, 538, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 34, 10, 19448, 8, 5679, 26709, 5466, 6, 19, 10, 11602, 9, 1619, 4780, 4, 85, 3905, 41, 18186, 112, 73, 306, 86, 6543, 8, 26658, 149, 10, 651, 9, 40286, 217, 2060, 119, 401, 6, 1918, 406, 6, 3676, 6, 274, 6, 8, 211, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50624, 51057, 51284, 52097, 52430, 51300, 50920, 54711, 50920, 54347, 50920, 50844, 52389, 51059, 50920, 50874, 53666, 53627, 50920, 55098, 51201, 50894, 51182, 50387, 52127, 51057, 52113, 50991, 51444, 50894, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 50894, 51165, 50894, 51093, 50894, 51107, 50894, 51266, 58446, 60685, 51113, 52097, 51656, 51535, 50920, 53066, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 72560, 55893, 51993, 50991, 50920, 52654, 51444, 53056, 51029, 50920, 57544, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 52346, 50607, 52925, 53128, 50991, 50920, 55098, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 54023, 50607, 50828, 51057, 53271, 50894, 51107, 51527, 53181, 51490, 51838, 51127, 50920, 59636, 52372, 50991, 51246, 50894, 50960, 50894, 50970, 58446, 52406, 50607, 52761, 50920, 72560, 54579, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 50387, 52127, 50426, 51993, 50800, 53271, 53056, 51300, 50920, 56274, 51246, 58446, 72560, 52953, 52113, 50795, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 52476, 50607, 55135, 50920, 50812, 51057, 51633, 50991, 54432, 50894, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 50894, 51201, 51527, 53817, 51314, 52036, 51148, 50920, 62226, 50883, 53321, 54448, 51246, 50923, 50960, 50923, 50970, 50923, 50947, 68576, 52296, 51993, 50991, 52190, 52793, 52710, 54432, 53056, 51300, 50920, 52765, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 53627, 58196, 50991, 50920, 62226, 55486, 51246, 50894, 50998, 50894, 50947, 50894, 51863, 51675, 50920, 76832, 50846, 51057, 51266, 52097, 52225, 51535, 52133, 51080, 50920, 57368, 56056, 50807, 51246, 50894, 50998, 50894, 50947, 58446, 76832, 52981, 50920, 52476, 50607, 55795, 51246, 50894, 50998, 50894, 50947, 50387, 52127, 50426, 51725, 53056, 51300, 50920, 72560, 55001, 53128, 50795, 51246, 58446, 52476, 50607, 52209, 51246, 50894, 50998, 50894, 50947, 58446, 52476, 50607, 55486, 54761, 50800, 51107, 52208, 51838, 51243, 50920, 50833, 51057, 56056, 51091, 51504, 50894, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 50894, 54720, 51314, 52430, 51447, 52886, 51148, 51711, 51748, 51711, 51293, 51838, 51671, 50920, 62226, 50883, 53321, 54448, 50986, 50923, 50998, 50923, 50970, 50923, 50947, 68576, 52476, 50607, 55893, 50920, 53049, 51504, 53056, 51300, 50920, 52476, 50607, 57469, 54761, 50800, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 53513, 50920, 62226, 54002, 53128, 50800, 50986, 50894, 50998, 50894, 50970, 50894, 50947, 58446, 72560, 50895, 51057, 52372, 51091, 53271, 50894, 52137, 51448, 53181, 51447, 54307, 51127, 50920, 54275, 51246, 50894, 50960, 50894, 50970, 53277, 50607, 53127, 52871, 52190, 55657, 53184, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 53049, 53271, 53056, 51029, 50920, 58129, 51993, 50795, 51246, 53277, 50607, 53836, 52658, 51246, 50894, 50970, 50894, 50947, 58446, 62226, 55135, 52372, 50800, 51838, 51145, 50920, 50812, 51057, 53128, 63746, 51552, 50929, 51552, 51076, 51552, 51113, 53435, 51838, 52212, 53389, 52335, 51656, 52062, 52137, 52062, 55815, 51945, 53499, 51922, 72026, 53321, 76832, 53336, 51667, 52542, 62226, 53423, 51667, 50918, 50920, 50833, 52389, 51009, 50920, 62226, 50949, 53666, 52749, 50920, 53104, 50607, 55135, 50920, 50812, 51057, 51317, 52097, 50998, 52097, 50929, 52097, 50947, 52097, 52414, 51134, 52414, 52598, 50920, 50859, 53321, 72560, 52981, 50920, 62226, 55133, 50920, 51620, 53828, 52221, 50824, 50920, 52765, 50920, 53911, 50920, 56535, 50920, 50833, 51057, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 62226, 50818, 53321, 54611, 53428, 51603, 51311, 51460, 50960, 51460, 50970, 51460, 50947, 51460, 50920, 52476, 50607, 55795, 50920, 50854, 52389, 51300, 50920, 56919, 52190, 56710, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 58446, 66113, 52869, 54440, 50920, 62226, 59871, 53428, 57907, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 53277, 50607, 52079, 50854, 51057, 50920, 68621, 52869, 51090, 50417, 51311, 50923, 50960, 50923, 50970, 50923, 50947, 50923, 52190, 53963, 53932, 52190, 53127, 52296, 50920, 53049, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 53056, 51029, 50920, 52765, 53428, 51033, 52190, 53127, 52749, 51311, 50894, 50960, 50894, 50970, 50894, 50947, 53277, 50607, 52079, 68974, 53428, 50940, 58455, 50822, 51057, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 58446, 52476, 50607, 57610, 53428, 50948, 50417, 52190, 52432, 52869, 51745, 51246, 50923, 51317, 50923, 50970, 50923, 50929, 68576, 62226, 55133, 50920, 50854, 52389, 51029, 50920, 62226, 56710, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 50894, 50999, 52311, 50920, 52749, 51081, 52311, 52190, 53067, 54125, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 50894, 51339, 51527, 72026, 51057, 50920, 72560, 70426, 53428, 51021, 50417, 51246, 50894, 51317, 50923, 50970, 50923, 50929, 68576, 52871, 50920, 62226, 68936, 52869, 51021, 50423, 51246, 58446, 51620, 53050, 50952, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 53056, 51029, 50920, 53104, 50607, 50884, 53666, 52476, 50607, 60759, 53048, 57647, 51246, 50894, 51317, 50894, 50970, 50894, 50929, 58446, 56535, 54271, 70094, 62226, 50883, 51057, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 58446, 53504, 51430, 68576, 53376, 50607, 53113, 51131, 50923, 50986, 50923, 50998, 50923, 50929, 68576, 53104, 50607, 57852, 53048, 51661, 51339, 50387, 52127, 50426, 51430, 53056, 51029, 50920, 53104, 50607, 60137, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 50894, 51062, 58446, 52476, 50607, 54154, 50999, 68576, 53104, 50607, 53660, 51131, 50894, 50986, 50894, 50998, 58446, 50812, 51057, 51062, 51573, 50920, 53104, 50607, 57368, 51131, 50894, 50986, 50923, 50998, 50923, 50929, 68576, 76832, 50950, 56952, 62226, 57852, 55324, 50921, 51131, 58446, 53049, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 53056, 51300, 50920, 62226, 50894, 50427, 53428, 50940, 53666, 66113, 52869, 54154, 51131, 50894, 50986, 50894, 50998, 50894, 50929, 58446, 62226, 74958, 53050, 50952, 58455, 50810, 51057, 54271, 51603, 50986, 50894, 50998, 50894, 50929, 58446, 50800, 53321, 53376, 50607, 55492, 50986, 50923, 50998, 50923, 50929, 68576, 52296, 50920, 74298, 55388, 50967, 52389, 51029, 50920, 52476, 50607, 58236, 50986, 50894, 50998, 50894, 50929, 50387, 52127, 50432, 53428, 51077, 50920, 72560, 54125, 50986, 50894, 50998, 50894, 51078, 58446, 52406, 50607, 50950, 51057, 50920, 57368, 50986, 50894, 50998, 50923, 51078, 52362, 50340, 50894, 53919, 58446, 52346, 50607, 53113, 51787, 58446, 72560, 57852, 50986, 50894, 51814, 58446, 52710, 50986, 50894, 50998, 50894, 51078, 50894, 51405, 50894, 51787, 53056, 51029, 50920, 62226, 58465, 51787, 58446, 52406, 50607, 54154, 50986, 50894, 50998, 50894, 51078, 50894, 50999, 52362, 50331, 58446, 62226, 56966, 72026, 51057, 53428, 51215, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 50894, 51081, 52311, 50920, 62226, 50894, 53321, 52871, 51246, 50923, 50960, 50923, 50970, 50923, 50947, 68576, 62226, 76237, 52869, 51603, 50423, 51339, 51552, 50920, 50854, 52389, 51029, 50920, 62226, 58236, 51246, 50894, 50960, 50894, 50970, 50894, 50947, 58446 ]

[ 0, 250, 2365, 8, 17627, 17274, 5175, 19834, 4246, 13305, 6, 21072, 6, 21979, 9590, 6, 6755, 12547, 6, 8, 3459, 8669, 4, 8504, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 3136, 23, 10, 6379, 27841, 3006, 11332, 20889, 6, 2351, 41, 9066, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50650, 56236, 51461, 51351, 50900, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 51615, 51655, 55815, 52503, 50419, 51752, 50879, 56084, 56179, 51207, 51391, 51136, 72038, 51752, 50805, 56084, 50805, 50431, 51596, 51173, 56033, 70756, 51461, 61169, 52161, 51060, 57464, 67174, 51461, 51295, 51207, 50838, 51136, 50892, 50443, 51596, 51060, 56033, 51060, 50449, 51752, 50795, 56084, 51798, 51207, 51006, 51136, 50866, 50454, 52161, 54454, 57464, 54454, 50456, 51461, 76888, 52255, 51036, 55929, 51417, 50900, 52335, 50956, 52335, 50965, 52335, 51136, 50873, 51846, 77847, 51846, 50901, 51136, 53308, 51522, 54930, 51522, 51562, 50445, 51136, 50873, 51846, 56711, 51461, 50937, 50461, 51656, 51264, 55929, 51218, 51027, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 77475, 51136, 77921, 51596, 51685, 56033, 51685, 50426, 51131, 51006, 51136, 54342, 51098, 54181, 51098, 51218, 50444, 51131, 50987, 51136, 69265, 51752, 51192, 56084, 68179, 52659, 50834, 52161, 56073, 57464, 56073, 50460, 52255, 51264, 55929, 51218, 50900, 52335, 50956, 52335, 50965, 52335, 51136, 50873, 51846, 77847, 51846, 50901, 51136, 53308, 51522, 54181, 51522, 51141, 50445, 51136, 50873, 51846, 56711, 52318, 61764, 51615, 51036, 55929, 51218, 50900, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 51136, 50873, 51207, 50974, 50421, 51752, 50882, 56084, 68315, 51752, 51030, 51207, 50901, 51136, 50849, 56084, 60022, 51098, 50854, 51596, 50879, 56033, 55122, 51098, 51141, 52161, 50879, 57464, 77370, 51596, 50948, 51136, 50873, 51207, 50974, 56033, 57322, 51752, 50873, 56084, 55345, 52318, 50862, 52161, 55362, 57464, 55362, 50459, 52255, 51036, 55929, 51218, 50956, 53142, 50965, 52222, 50876, 52062, 50900, 52335, 50420, 51846, 51680, 50426, 51136, 55378, 51522, 50854, 51169, 56509, 51522, 51218, 50444, 51136, 68324, 50986, 59827, 52659, 50834, 51846, 50838, 50460, 51656, 51036, 55929, 51351, 51027, 51080, 77475, 51136, 77921, 51596, 51685, 56033, 51685, 58097, 52407, 54439, 51333, 51131, 51006, 51136, 54342, 51461, 50833, 50876, 51423, 50438, 51461, 51295, 69375, 50933, 62958, 50956, 53130, 50316, 51058, 51131, 50987, 51136, 69265, 51752, 50924, 56084, 50924, 50455, 52161, 53898, 57464, 53898, 50456, 51461, 66376, 52255, 51307, 55929, 51417, 51176, 51080, 58097, 52407, 51846, 51391, 51136, 51134, 62144, 67995, 51522, 61816, 51423, 50438, 51522, 51562, 51846, 50838, 51136, 55200, 51176, 50933, 70644, 50956, 53130, 50316, 60649, 51846, 51006, 51136, 54752, 51461, 50937, 55929, 72893, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 50801, 55023, 50858, 51340, 52127, 50420, 51246, 51391, 51136, 51134, 51190, 52492, 50421, 51209, 50859, 51768, 50859, 71005, 50427, 51209, 54725, 51461, 50901, 51256, 56702, 67308, 57280, 51295, 51772, 50879, 77222, 51136, 50892, 70718, 50444, 51256, 59899, 50882, 51190, 52492, 50450, 51209, 50845, 51246, 51006, 51136, 50866, 71005, 50456, 51461, 50897, 65069, 55137, 56159, 50457, 51256, 51472, 53202, 51417, 51027, 52335, 50900, 52335, 50956, 52335, 50861, 52335, 50801, 55023, 50930, 51340, 52127, 50420, 51136, 51680, 51190, 52492, 50426, 50947, 50972, 50903, 50930, 71005, 50431, 51451, 51336, 50432, 51150, 50865, 51032, 61725, 67308, 57385, 51562, 70718, 50444, 50947, 51309, 50903, 50930, 51190, 52492, 50450, 50929, 51003, 71005, 50456, 51140, 50937, 51136, 50838, 65069, 55064, 56159, 55929, 51351, 50997, 52335, 50956, 52335, 50861, 52335, 50876, 52335, 50801, 55023, 50858, 51340, 52127, 50420, 52031, 50830, 51246, 51391, 51136, 51134, 51190, 52492, 50426, 52031, 50865, 50903, 50880, 71005, 50432, 51461, 50833, 51390, 55675, 67308, 50438, 51461, 51295, 51334, 50805, 77222, 51136, 50892, 70718, 50444, 50903, 56034, 56159, 50445, 52031, 63589, 51246, 51006, 51136, 50866, 71005, 50451, 51390, 55416, 51461, 50925, 65069, 50858, 51190, 52492, 50457, 51334, 52195, 54389, 73685, 51477, 50861, 51477, 50877, 51477, 51001, 51477, 50801, 55023, 52465, 56095, 50420, 51317, 51637, 50929, 51477, 50903, 50859, 51190, 52492, 50426, 51930, 50849, 71005, 50432, 51560, 50878, 51390, 51472, 65069, 50930, 51190, 52492, 68005, 50807, 68103, 51078, 55056, 55023, 51833, 56095, 55513, 51419, 50989, 51419, 50906, 51419, 51001, 51419, 51444, 51006, 50903, 50930, 51190, 52492, 50450, 51216, 50849, 50986, 51642, 51078, 51363, 50903, 50859, 71005, 50456, 52419, 57567, 55629, 55801, 59210, 50457, 51408, 51013, 53458, 51218, 50906, 53142, 50902, 52222, 50951, 52062, 50861, 52335, 50801, 55023, 50890, 51340, 52127, 50420, 51246, 51391, 50929, 51134, 51190, 52492, 50422, 51229, 51235, 51768, 50930, 71005, 50432, 51389, 54312, 67308, 50433, 51209, 60847, 51389, 51218, 77222, 65244, 70718, 50443, 51229, 51400, 50444, 50903, 56034, 56159, 50450, 51246, 51006, 63124, 71005, 50453, 51408, 62805, 52659, 54109, 61319, 50890, 51190, 52492, 55929, 51241, 50916, 53142, 50861, 52222, 50876, 52062, 50997, 52335, 51390, 51189, 70718, 50420, 51246, 51680, 50903, 50880, 51190, 52492, 50426, 71882, 50903, 50862, 71005, 50432, 51461, 50977, 51334, 51623, 50929, 51003, 65069, 50880, 51190, 52492, 57280, 51295, 70718, 50444, 50998, 51309, 50903, 50887, 51190, 52492, 50450, 76338, 71005, 50456, 51461, 50830, 77222, 65069, 51187, 56159, 53202, 51417, 51176, 51477, 50871, 51477, 50876, 51477, 50801, 55023, 50890, 51340, 52127, 60434, 51637, 51169, 51477, 51190, 52492, 50421, 51674, 50859, 51768, 50930, 71005, 50427, 51674, 57943, 51560, 66667, 67308, 50433, 51209, 51724, 51273, 60339, 51477, 50871, 51477, 50965, 51477, 50902, 51477, 51256, 50879, 68103, 69463, 70718, 50444, 51444, 51006, 50903, 56034, 56159, 50445, 51209, 57415, 51522, 50849, 50986, 51642, 50970, 51363, 71005, 50451, 51674, 55670, 55366, 50878, 65069, 50930, 51190, 52492, 50458, 51322, 51945, 53458, 51218, 50973, 53142, 50902, 52222, 50951, 52062, 50871, 52335, 70718, 50420, 51311, 51391, 50970, 51134, 50903, 50890, 51190, 52492, 50426, 71005, 50432, 51389, 54312, 61319, 50887, 51190, 52492, 50438, 51389, 51218, 76441, 50970, 50892, 70718, 50444, 50903, 50887, 51190, 52492, 50450, 51311, 51006, 65899, 50903, 50809, 71005, 50456, 52659, 54109, 67308, 55929, 51417, 50997, 52335, 50899, 52335, 50956, 52335, 50861, 52335, 51863, 51307, 51246, 50974, 51136, 55937, 55023, 50890, 51340, 52127, 51039, 56159, 50421, 51209, 53950, 51246, 51006, 51136, 50905, 50903, 50930, 71005, 50427, 51209, 56632, 51098, 50865, 51256, 55855, 67308, 57280, 51562, 51772, 54754, 55023, 50887, 51340, 52127, 50444, 51256, 50849, 51246, 50987, 51136, 66551, 50890, 51190, 52492, 50450, 71005, 50451, 51209, 67773, 51461, 50937, 65069, 51049, 56159, 50457, 51256, 51196, 53202, 51218, 51027, 52335, 51086, 52335, 50899, 52335, 50956, 52335, 50861, 52335, 70718, 50415, 51838, 71785, 51136, 51391, 50947, 51134, 50903, 50808, 51190, 52492, 51768, 50857, 71005, 50432, 51150, 54312, 61319, 50887, 51190, 52492, 50433, 51451, 51472, 57385, 51218, 51136, 61793, 50892, 70718, 50444, 50903, 50836, 51190, 52492, 50450, 51136, 51006, 50947, 70571, 50809, 71005, 50455, 52031, 66313, 52659, 54109, 67308, 55929, 51218, 50956, 53142, 50861, 52222, 50876, 52062, 50997, 52335, 51711, 54300, 51246, 50974, 51136, 55937, 55023, 50887, 51340, 52127, 50420, 52031, 50991, 51190, 52492 ]

[ 0, 250, 13363, 28191, 5175, 25771, 2214, 14, 36193, 5, 30443, 7, 10, 3366, 3341, 980, 6, 3820, 19, 3423, 9, 814, 8, 17878, 9, 15073, 4, 20, 12547, 9, 21072, 6, 18558, 10, 25118, 6, 38668, 9590, 6, 31391, 1672, 9590, 6, 8, 3741, 27374, 594, 52, 9419, 561, 10, 5797, 990, 1506, 9, 2369, 6, 150, 5, 16331, 33215, 16739, 9, 381, 401, 8, 163, 406, 32318, 5, 15229, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 3185, 30, 10, 1769, 20889, 6, 42, 2125, 16, 10, 31294, 2787, 3251, 149, 41, 97, 39860, 34753, 5252, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50791, 71523, 52676, 50779, 50603, 52396, 50779, 50603, 50818, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 52885, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 50384, 50790, 50603, 52922, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 50379, 50790, 50603, 52922, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 52885, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 50384, 50790, 50603, 52922, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 50379, 50790, 50603, 52922, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 50384, 50790, 50603, 52922, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 50379, 50790, 50603, 52922, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 52885, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 52429, 50923, 50686, 50272, 50802, 56165, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 52429, 50923, 50686, 50272, 50802, 56165, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 51528, 54508, 51044, 61720, 52922, 52302, 52429, 50923, 50686, 50272, 50802, 56165, 56794, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 53178, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 54274, 50841, 51570, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 51525, 54948, 54274, 52881, 50798, 54508, 51044, 65795, 52922, 50841, 72014, 50923, 56258, 50802, 60229, 55998, 54508, 51044, 61720, 52922, 52302, 52246, 50923, 69248, 53854, 55998, 54508, 52493, 65795, 52922, 52870, 53178, 50923, 56258, 50802, 60229, 50901, 51525, 54948, 54274, 50379, 79052, 59984, 51874, 50923, 58154, 50802, 54470, 55998, 54508, 51044, 54274, 53116, 52429, 50923, 50686, 50272, 50802, 56165, 54042, 55717, 54821, 50817, 52129, 54508, 52493, 56093, 50384, 52617, 52922, 53083, 54409, 51286, 50712, 50344, 51286, 51525, 54948, 54274, 52881, 50798 ]

[ 0, 713, 14899, 3495, 2214, 11, 211, 538, 22750, 1626, 11098, 8, 8593, 26358, 6, 1969, 13, 2365, 50, 33558, 9629, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 41, 12547, 9, 21979, 8, 3459, 29589, 6, 13305, 6, 9590, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 20425, 5466, 4, 20, 33215, 16739, 9, 211, 6, 83, 406, 6, 211, 6, 272, 6, 8, 83, 3639, 7, 63, 33200, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 52563, 51795, 52548, 51352, 54039, 52266, 50798, 50921, 52112, 51039, 55081, 50798, 50887, 52389, 51864, 53230, 50804, 52374, 50887, 51450, 52964, 50887, 51180, 50887, 56953, 53711, 62113, 55433, 53212, 51168, 50880, 52563, 51352, 52548, 51352, 54039, 53174, 50798, 52374, 77740, 55081, 50798, 50883, 52389, 52675, 54937, 50804, 52374, 50887, 51450, 56214, 50887, 51180, 55761, 50798, 54411, 50798, 52675, 55433, 53212, 51163, 50921, 52563, 51795, 52548, 51352, 54039, 52266, 50798, 54444, 71417, 55081, 50798, 50887, 52389, 51508, 54937, 50804, 52374, 50887, 51450, 52964, 50887, 51180, 50887, 56953, 53711, 62113, 55433, 53212, 51168, 50880, 52563, 51009, 51007, 61958, 52374, 55777, 51007, 50821, 52548, 50950, 54039, 52153, 55081, 50798, 53087, 51007, 50858, 52403, 50930, 54696, 53235, 52675, 53230, 51649, 50890, 52138, 55060, 52374, 55395, 51439, 50930, 52548, 55146, 51130, 53806, 60264, 52612, 54411, 51019, 51779, 61945, 58133, 51213, 65021, 51014, 52563, 50976, 55493, 57642, 50936, 51782, 52526, 55573, 52758, 53340, 55081, 50798, 54818, 73182, 52758, 52411, 51508, 54937, 52758, 54345, 52374, 50887, 55208, 50976, 55493, 56728, 52964, 55489, 52758, 52675, 50887, 56953, 53711, 50927, 51388, 52758, 52411, 51864, 55433, 52758, 53474, 56175, 50880, 52288, 50975, 53032, 56562, 52374, 55777, 52758, 51044, 55081, 50798, 53087, 51011, 50975, 52758, 53690, 52675, 54937, 50804, 52374, 50887, 53758, 51388, 50850, 51291, 51007, 51661, 51840, 71941, 56214, 50887, 51180, 55761, 50798, 54411, 51011, 70958, 52675, 55433, 52758, 54218, 57228, 50921, 52288, 51286, 53032, 60909, 50921, 52112, 50420, 52758, 52873, 55081, 50798, 54818, 51011, 51388, 52758, 53351, 51864, 53230, 52758, 53988, 52374, 50887, 53758, 51379, 53032, 56728, 52964, 55489, 52758, 51406, 50887, 56953, 53711, 51011, 51379, 52758, 53630, 51864, 55433, 52758, 53988, 56175, 50880, 52563, 51505, 55493, 50936, 52758, 53632, 52374, 55777, 52758, 52304, 55081, 50798, 53087, 50927, 51167, 53195, 56562, 52675, 54937, 52758, 54332, 52374, 50887, 55208, 72629, 51274, 51007, 51274, 51439, 67878, 56214, 55489, 50927, 51508, 55761, 50798, 54411, 51019, 61958, 52675, 55433, 51213, 50821, 52758, 53988, 57228, 50921, 52563, 51505, 55493, 59872, 54196, 54507, 52758, 52217, 55081, 50798, 54818, 50927, 51192, 52758, 52411, 51508, 54937, 52758, 54472, 52374, 50887, 55208, 50802, 55493, 68633, 52964, 55489, 52758, 52938, 50887, 56953, 53711, 50927, 51379, 52969, 53662, 51864, 55433, 52969, 54218, 56175, 50880, 52534, 51505, 53195, 53435, 50798, 52374, 77740, 55081, 50798, 53087, 50953, 55311, 52675, 54937, 50804, 52374, 55395, 65716, 50909, 52090, 51021, 52574, 52526, 52284, 68634, 50935, 51370, 55761, 50798, 54411, 50964, 51045, 50909, 54187, 50840, 52574, 52526, 52163, 51228, 51014, 51125, 52420, 57228, 50921, 52288, 51460, 51007, 51941, 52758, 52311, 50798, 50936, 51782, 52526, 61493, 55081, 50798, 54818, 51011, 51388, 57207, 54937, 50804, 52374, 50887, 53758, 71994, 52964, 50887, 51180, 50887, 56953, 53711, 51011, 50976, 52758, 53235, 51864, 55433, 52758, 54332, 56175, 50880, 52563, 51354, 51007, 50858, 52548, 50948, 52758, 73651, 52374, 55777, 51007, 50859, 54039, 50940, 53032, 50938, 55625, 51437, 55081, 50798, 53087, 50927, 50980, 51007, 50821, 52403, 50880, 54696, 50858, 55493, 60206, 52675, 54937, 51649, 50809, 52138, 54078, 52374, 50887, 55208, 50811, 51439, 50880, 52548, 53662, 56214, 55489, 50927, 52633, 55761, 50798, 54411, 51019, 52589, 52675, 55433, 51213, 50858, 52758, 54078, 57228, 50921, 52563, 50976, 55493, 53056, 50936, 51782, 52526, 52244, 51198, 78112, 50882, 51429, 50950, 52758, 51135, 55081, 50798, 54818, 50927, 51167, 52758, 51730, 51508, 54937, 51198, 50858, 51099, 50880, 51429, 50962, 52758, 54078, 52374, 50887, 55208, 51286, 55493, 50921, 52758, 52259, 52964, 55489, 51198, 50858, 51099, 50880, 51429, 51010, 52758, 51239, 50887, 56953, 53711, 50927, 51167, 52758, 51730, 51864, 55433, 51198, 78112, 50882, 51429, 50882, 52758, 53988, 56175, 50880, 52288, 51173, 53032, 51030, 52758, 52411, 52374, 55777, 51198, 50859, 51494, 50809, 51119, 50930, 51153, 50858, 52758, 51406, 55081, 50798, 53087, 51011, 51379, 52758, 53662, 52675, 54937, 51198, 50859, 51494, 50809, 51119, 50930, 51153, 52997, 52374, 50887, 53758, 68984, 56214, 55489, 51198, 50859, 51494, 50809, 51119, 50880, 51153, 62712, 51364, 51007, 51294, 51840, 51204, 50791, 55761, 50798, 53711, 51011, 73651, 52675, 55433, 51198, 50859, 51494, 50809, 51119, 50880, 51153, 50858, 52758, 54212, 57228, 50921, 52288, 51192, 53032, 50882, 52758, 53983, 50936, 52112, 50420, 51198, 50859, 51494, 50809, 51119, 50880, 51153, 50890, 52758, 52207, 55081, 50798, 54818, 51011, 51192, 52758, 51747, 51508, 53230, 51198, 50887, 51494, 50887, 51119, 50880, 51153, 50890, 52758, 54332, 52374, 50887, 53758, 51160, 53032, 50921, 52758, 52411, 52964, 55489, 51198, 50887, 51494, 50809, 51119, 50880, 51153, 50890, 52758, 52675, 50887, 56953, 53711, 51011, 51379, 52758, 53690, 51864, 55433, 76437, 51494, 50809, 51119, 50880, 51153, 50859, 52758, 54047, 56175, 50880, 52563, 51388, 55493, 56728, 52374, 55777, 51198, 50858, 51099, 50930, 51429, 50930, 52758, 52675, 55081, 50798, 53087, 50927, 51175, 52758, 50809, 53195, 51654, 52675, 54937, 51198, 78112, 50894, 51429, 50894, 52758, 53474, 52374, 50887, 55208, 54168, 56214, 55489, 51198, 50858, 51099, 50930, 51429, 50930, 68755, 51007, 51191, 51439, 51091, 52548, 51294, 52112, 56953, 54411, 51019, 61958, 52675, 55433, 51198, 78112, 50880, 51429, 50880, 51213, 50821, 52758, 54218, 57228, 50921, 52563, 50976, 55493, 68633, 54444, 54507, 51198, 78112, 50880, 51429, 50880, 52758, 52873, 55081, 50798, 54818, 50927, 51167, 52758, 53238, 51508, 54937, 51198, 78112, 50880, 51429, 50880, 52758, 54218, 52374, 50887, 55208, 50976, 55493, 63388, 52964, 55489, 51198, 50887, 51099, 50930, 51429, 50930, 52758, 51559, 50887, 56953, 53711, 50927, 51167, 52969, 53690, 51864, 55433, 51198, 78112, 50880, 51429, 50880, 52969, 52467, 56175, 50880, 52534, 51379, 53195, 75277, 52374, 55777, 51232, 50858, 51099, 50930, 51153, 52153, 55081, 50798, 53087, 50953, 72223, 52675, 54937, 51232, 50858, 51099, 50880, 51153, 54078, 52374, 55395, 64504, 50909, 54187, 51021, 52574, 52526, 55380, 51232, 50890, 51099, 50890, 51153, 50890, 62792, 50935, 53734, 55761, 50798, 54411, 50964, 51045, 50909, 54187, 50840, 52574, 52526, 52163, 51232, 50858, 51099, 50890, 51153, 50880, 51228, 50921, 51125, 50879, 53212, 51163, 50921, 52288, 51379, 51007, 51274, 63293, 51196, 52758, 58673, 50921, 51782, 52526, 52244, 51198, 50859, 51494, 50887, 51119, 52633, 55081, 50798, 54818, 51011, 51286, 57207, 54937, 51198, 50859, 51494, 50809, 51119, 54332, 52374, 50887, 53758, 63388, 52964, 53806, 51198, 50858, 51494, 50809, 51119, 50930, 63293, 50924, 52758, 55593, 50887, 56953, 53711, 66402, 54890, 50810, 52758, 52923, 51864, 55433, 51198, 50887, 51494, 50809, 51119, 50880, 54182, 50812, 52758, 55106, 56175, 50880, 52563, 51952, 50318, 50887, 52548, 50936, 54039, 50924, 55493, 51336, 52758, 69831, 52374, 55777, 51198, 50858, 51099, 50930, 51429, 50882, 51007, 52207, 55081, 50798, 53087, 50927, 51158, 51007, 50962, 52403, 50862, 54696, 53690, 52675, 54937, 51198 ]

[ 0, 713, 5175, 25771, 2214, 6, 278, 11, 83, 3694, 6, 1931, 21683, 10, 19448, 8, 5679, 26709, 5466, 4, 590, 10, 20889, 9, 7004, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 23, 41, 178, 5285, 2877, 4, 20, 3459, 8669, 6, 38668, 20535, 6, 38668, 22052, 6, 8, 1893, 43639, 35810, 561, 15352, 30054, 2301, 6, 150, 5, 21072, 694, 10, 16634, 41063, 15796, 4811, 4, 20, 33215, 16739, 9, 1918, 6, 211, 6, 3676, 6, 1918, 6, 8, 3676, 3639, 7, 5, 2214, 18, 33535, 8, 22845, 41805, 6711, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50453, 54837, 51333, 59113, 51333, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50416, 51322, 75850, 60390, 51748, 53818, 51748, 60231, 52250, 50428, 51256, 51283, 50429, 51229, 64025, 73730, 51490, 50440, 51917, 51283, 50451, 51229, 51172, 50452, 51390, 51309, 50457, 51917, 50933, 50799, 69040, 52598, 50416, 51451, 51283, 50422, 51256, 51199, 50423, 54837, 52256, 59113, 52256, 50427, 51229, 51277, 51390, 68232, 51830, 52718, 50743, 50301, 51490, 54645, 52256, 56648, 52256, 50439, 51912, 62969, 66753, 50446, 51256, 51199, 50452, 51229, 59354, 54837, 51333, 59113, 51333, 51390, 51006, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50417, 51322, 52641, 60390, 51748, 53818, 51748, 50428, 51256, 51277, 50429, 51229, 51277, 51390, 52718, 73730, 51490, 50441, 51451, 59144, 51917, 51283, 50452, 51256, 51277, 65905, 51390, 50838, 50799, 69040, 52598, 50416, 51451, 51381, 50423, 54837, 52256, 59113, 52256, 50427, 51229, 51006, 51390, 56480, 50743, 50301, 51490, 54645, 52136, 56648, 52136, 50439, 51912, 51381, 50451, 51256, 75013, 51229, 51006, 50799, 67624, 51490, 50415, 51322, 51283, 50417, 51390, 51283, 50421, 51256, 51277, 50428, 51256, 51283, 51229, 64025, 73730, 51490, 50439, 52468, 51283, 50445, 51917, 80245, 51256, 51309, 51229, 51277, 50452, 51390, 67590, 51917, 50933, 50799, 69040, 52598, 50415, 51451, 51283, 50421, 51256, 50932, 50427, 51229, 51309, 51390, 51309, 50435, 51934, 59051, 51334, 57514, 51934, 52742, 50743, 50301, 51490, 51390, 77563, 51912, 51283, 50451, 51229, 51277, 51390, 50838, 50799, 67624, 51490, 50415, 51322, 51283, 50421, 51256, 75850, 51229, 51283, 50427, 51390, 64025, 73730, 51490, 51917, 73196, 51256, 71320, 51229, 51172, 51390, 68590, 51917, 50827, 50799, 69040, 52598, 51256, 51283, 51451, 51283, 50421, 51321, 59761, 51229, 69029, 51390, 51172, 50427, 51321, 59483, 51256, 52788, 50743, 50301, 51490, 78048, 51912, 51283, 50441, 78048, 51229, 78369, 51321, 53639, 50856, 50873, 65905, 50451, 51390, 51006, 50799, 67624, 51490, 51322, 51283, 50421, 51256, 51283, 50427, 51229, 51283, 51390, 51283, 50433, 51322, 56480, 73730, 51490, 51917, 56819, 51917, 51283, 50445, 51256, 80245, 51229, 51277, 51390, 50838, 50799, 69040, 52598, 50415, 51451, 51283, 50421, 51256, 51381, 50427, 51229, 51172, 51390, 51172, 50433, 51451, 52788, 50743, 50301, 51490, 50440, 51912, 51381, 50442, 51229, 51484, 50451, 51229, 51006, 50452, 51390, 51006, 50453, 54837, 51333, 59113, 51333, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50416, 51322, 55983, 51256, 75850, 60390, 51748, 53818, 51748, 50428, 51229, 51283, 51390, 51283, 50434, 51322, 52788, 73730, 51490, 50440, 51830, 51283, 50446, 65905, 50452, 51229, 51309, 51390, 51277, 50458, 51256, 50825, 50799, 69040, 52598, 51321, 70325, 51451, 51283, 50421, 51321, 60161, 51390, 56909, 54837, 52256, 59113, 52256, 50427, 78048, 51229, 51172, 50428, 51390, 51309, 50433, 51321, 58608, 51256, 53945, 50743, 50301, 51490, 54645, 52256, 56648, 52256, 50439, 51321, 66085, 51912, 51283, 51256, 50932, 50442, 51321, 61374, 51390, 51381, 50445, 51321, 56688, 50856, 50833, 50452, 51256, 51006, 50453, 54837, 51333, 59113, 51333, 51229, 51006, 51809, 54699, 51417, 51209, 52944, 52060, 54592, 50584, 62642, 51209, 68428, 52060, 54592, 50584, 78753, 51390, 51006, 52004, 51006, 50434, 51830, 62551, 51772, 53945, 52060, 54592, 50584, 50833, 54560, 51127, 51366, 51283, 50440, 51451, 51381, 50444, 52060, 54592, 50584, 67509, 51366, 51484, 50452, 51229, 51199, 50455, 51772, 53217, 52060, 54592, 50584, 62659, 54699, 50943, 51229, 51484, 50799, 52060, 58120, 51322, 51172, 51390, 50827, 51256, 60123, 52060, 61543, 51390, 61784, 51553, 50870, 51256, 53591, 51456, 50870, 51229, 64999, 51917, 58990, 51451, 53272, 51224, 51210, 54783, 51241, 51334, 62763, 51451, 51484, 51366, 75343, 51334, 53052, 51366, 53720, 51772, 50825, 51334, 59051, 51917, 57514, 51322, 53945, 52060, 50870, 57619, 51127, 51664, 51283, 50439, 51322, 54905, 52060, 53594, 52060, 59002, 51256, 51199, 50447, 51553, 53003, 52060, 79616, 51229, 51006, 51390, 51006, 50454, 51845, 50855, 50799, 51547, 64936, 54699, 51127, 50418, 51209, 77873, 52060, 54592, 50584, 53049, 52060, 54592, 50584, 62209, 51390, 51006, 52004, 56789, 52004, 62551, 54560, 64345, 52060, 54592, 50584, 65833, 51451, 51381, 51366, 56350, 52060, 54592, 50584, 64681, 51229, 51199, 50451, 51366, 50933, 51229, 51309, 50452, 51366, 51484, 50454, 51772, 53217, 52060, 54592, 50584, 62474, 51830, 72486, 51408, 50825, 50799, 52060, 50870, 54699, 50943, 52000, 50825, 51256, 51283, 50415, 52000, 65533, 51322, 80256, 52060, 53420, 52060, 59109, 51322, 51283, 50423, 51553, 59045, 54377, 57908, 52060, 51210, 50427, 51229, 51283, 50433, 51256, 70142, 54067, 56389, 52060, 50870, 51366, 55608, 52060, 61118, 51256, 56350, 52060, 59002, 51322, 51484, 50447, 51553, 60145, 54560, 56508, 52060, 79616, 51229, 50932, 50455, 51925, 56974, 51830, 50933, 50460, 51209, 58449, 54699, 51127, 51601, 52004, 50932, 51209, 72108, 52060, 54592, 50584, 53049, 52060, 54592, 50584, 50833, 52004, 53052, 51830, 50933, 50436, 51772, 53945, 52060, 54592, 50584, 50833, 54560, 51127, 51451, 51381, 51772, 56819, 51366, 51381, 50444, 52060, 54592, 50584, 50833, 51229, 68832, 51229, 50932, 50454, 51772, 53217, 52060, 54592, 50584, 72070, 51366, 58449, 54699, 50943, 50799, 52060, 50870, 51229, 51277, 51322, 51484, 50415, 51390, 51172, 51256, 51172, 50417, 52060, 53420, 51553, 50870, 51229, 53591, 51456, 60548, 51917, 58990, 51451, 68428, 51224, 51210, 54783, 75725, 51366, 57018, 51366, 53720, 51772, 59051, 51917, 57514, 57619, 51127, 51322, 53945, 52060, 60470, 51322, 51283, 50441, 52060, 53594, 52060, 59002, 51229, 51484, 50447, 51553, 53003, 52060, 79616, 51390, 59781, 51925, 50937, 51322, 57077, 51772, 50825, 50799, 54699, 51417, 51209, 51484, 50415, 51408, 51172, 51390, 51172, 52004, 70152, 52060, 54592, 50584, 66031, 51209, 53272, 52060, 54592, 50584, 62209, 51209, 61284, 54560, 64345, 52060, 54592, 50584, 50833, 51451, 51283, 50439, 51772, 50825, 51366, 51381, 50444, 52060, 54592, 50584, 67509, 51229, 51283, 50454, 51772, 53217, 52060, 54592, 50584, 50833, 50799, 52060, 50870, 54699, 51377, 50415, 52000, 65533, 51322, 50932, 52000, 59834, 52060, 61543, 52000, 72108, 52060, 54604, 51553, 59045, 54699, 69058, 52060, 51210, 51229, 50827, 50428, 51322, 51283, 51256, 54974, 51229, 51283, 51256, 73143, 52060, 60470, 52000, 51381, 50441, 52060, 53594, 52060, 59265, 51256, 70591, 51553, 53003, 52060, 79616, 51256, 50933, 50452, 51229, 70256, 54837, 51333, 59113, 51333, 50799, 67624, 51490, 55156, 51333, 54511, 51333, 50415, 51322, 51283, 50417, 51390, 72108, 51321, 63471, 51256, 64570, 60390, 51748, 53818, 51748, 51321, 50833, 60231, 52250, 50428, 51256, 51283, 51229, 79309, 51321, 53415, 73730, 51490, 51065, 65833, 52468, 51283, 50441, 51321, 54207, 50856, 64681, 51917, 80245, 51256, 51309, 51229, 51277, 50452, 51390, 67590, 51917, 50933, 50799, 69040, 52598, 50415, 51451, 72108, 51321, 63471, 51256, 54869, 51321, 62209, 51229, 51309, 51390, 70402, 51321, 55098, 53818, 51074, 51934, 59051, 51334, 57514, 51934, 52742, 50743, 50301, 51490, 60390, 51074, 51065, 50833, 51390, 77563, 51912, 51283, 50441, 54638, 52256, 51321 ]

[ 0, 713, 765, 6, 14899, 5175, 3495, 2214, 11, 12608, 538, 1575, 10, 2020, 3548, 8, 21979, 8669, 816, 34879, 81, 10, 5204, 1451, 1286, 30, 21072, 6, 38668, 9590, 6, 8, 3459, 8669, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 7630, 6568, 6453, 9, 11098, 6, 1007, 6, 8, 10563, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 79254, 51396, 50866, 52814, 53716, 58250, 64362, 51068, 52975, 51891, 51877, 55799, 64130, 58725, 54054, 57514, 50909, 53264, 53457, 53791, 69864, 51396, 50813, 52554, 54912, 52683, 58906, 50387, 53315, 61194, 50992, 51095, 51891, 52100, 58394, 50979, 58929, 50978, 53457, 54054, 61333, 58725, 54054, 58351, 51396, 50937, 52850, 54912, 52683, 58906, 50387, 53315, 61807, 52879, 52100, 62107, 51017, 50878, 58725, 54054, 54026, 50935, 51013, 53457, 54054, 50825, 75158, 50878, 52554, 54912, 52683, 58906, 50387, 53315, 56092, 50992, 50959, 53416, 52100, 52944, 76797, 50873, 53457, 54054, 56856, 58725, 54054, 59768, 52819, 62518, 51396, 50937, 52814, 54912, 52683, 58906, 68388, 50832, 59277, 50979, 76873, 66550, 50820, 51891, 50884, 53457, 50887, 58725, 53716, 57107, 50992, 57511, 50867, 50979, 50810, 51891, 50884, 53457, 50859, 58725, 54054, 59370, 51164, 50805, 52131, 54912, 52683, 58906, 50387, 53315, 64916, 50832, 59144, 66664, 78134, 50992, 50938, 51891, 50884, 53457, 50859, 58725, 54054, 53041, 50832, 56892, 52819, 53851, 51751, 50841, 53167, 59520, 57875, 52683, 63317, 51525, 56353, 51751, 50840, 61735, 51891, 50884, 53167, 50855, 53457, 50859, 58725, 50859, 52632, 53056, 75877, 58323, 51164, 61358, 50887, 52131, 50855, 51758, 79030, 54906, 75877, 50846, 51601, 50988, 64266, 50840, 51707, 50887, 51995, 51014, 51525, 54906, 72922, 51769, 53576, 54503, 50834, 55420, 50834, 54193, 51255, 52819, 61553, 61308, 50924, 54503, 50839, 52814, 50820, 52811, 50923, 52013, 53617, 51130, 59768, 51891, 52870, 58725, 50937, 51068, 53270, 51949, 59805, 55477, 51687, 50833, 51651, 50808, 51327, 56274, 53457, 50937, 78727, 62000, 54503, 51175, 54193, 51175, 52819, 52417, 56139, 50952, 52391, 50841, 52632, 50923, 52013, 53669, 51130, 53940, 73716, 51891, 51877, 66643, 51687, 50840, 51327, 50855, 51651, 50808, 53457, 64154, 53270, 51949, 61682, 63442, 58725, 50873, 60227, 67387, 55420, 50884, 54503, 51238, 54193, 51238, 52819, 58780, 61308, 50924, 52146, 50825, 52811, 50923, 52013, 53669, 51130, 52859, 51258, 50446, 53457, 52275, 63612, 51327, 60668, 56340, 54539, 52275, 59596, 51687, 50833, 51651, 50840, 58725, 50937, 50451, 53457, 52854, 53940, 60491, 54193, 50991, 54503, 51112, 52819, 57208, 56139, 50952, 53416, 50829, 52632, 50923, 52013, 53669, 51130, 52859, 61733, 52146, 54616, 53457, 52144, 56047, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 52672, 52144, 57517, 58250, 50820, 50799, 58725, 50873, 60227, 50928, 50416, 52819, 55138, 61308, 50938, 54503, 50857, 54193, 50857, 52814, 50841, 52811, 51388, 52013, 53669, 51130, 53940, 53738, 51891, 52275, 60776, 54193, 50858, 60065, 66553, 51687, 50833, 51651, 50808, 51327, 50810, 58725, 66679, 56340, 53270, 52275, 57074, 53457, 52201, 52859, 68713, 54503, 50967, 52819, 59551, 56139, 50879, 52031, 50967, 52554, 50829, 52632, 51388, 52013, 53617, 51130, 52859, 50891, 56096, 62000, 51891, 57107, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 66975, 58712, 52275, 58250, 58316, 52031, 50829, 54280, 50867, 58725, 53933, 51833, 52859, 60622, 53076, 52958, 55420, 50863, 54193, 50983, 52819, 55698, 53008, 50884, 51334, 50806, 54503, 50806, 54503, 50983, 55653, 50846, 52811, 51014, 52013, 51539, 52859, 56926, 59120, 58725, 52100, 54485, 53008, 50879, 58725, 50910, 52687, 55024, 54912, 54539, 51949, 58250, 54028, 52031, 50936, 54503, 50936, 53457, 51406, 52859, 53430, 54223, 50938, 52146, 50841, 54076, 51014, 52453, 52859, 50367, 53315, 50377, 55628, 55223, 53457, 63317, 55653, 52100, 63543, 53076, 50859, 54503, 50821, 53008, 50924, 53457, 50937, 52713, 74966, 53270, 51949, 53971, 56804, 56399, 58725, 52270, 52748, 63414, 52819, 55971, 55655, 50924, 54503, 51653, 60841, 51653, 54136, 50841, 53054, 50923, 52013, 53617, 51130, 50825, 51601, 53167, 60941, 55655, 50821, 51590, 50936, 51934, 50936, 53416, 58029, 53270, 51949, 59805, 57404, 52814, 50938, 78727, 54951, 53008, 50936, 52819, 54169, 75564, 60841, 51192, 54503, 51167, 52181, 50820, 52811, 50923, 52013, 51539, 53940, 57395, 51674, 50887, 51934, 50840, 52131, 52275, 64838, 55655, 51014, 52814, 56675, 53270, 51949, 61682, 52953, 54503, 50813, 54193, 50813, 53416, 72196, 59383, 61308, 50924, 52146, 50825, 52811, 50923, 52819, 50377, 55628, 54288, 54503, 51010, 60841, 57888, 51130, 52859, 79532, 54193, 50812, 53457, 52275, 53115, 54503, 75804, 51651, 50840, 51687, 50833, 51327, 50833, 58725, 50937, 51068, 54539, 52275, 61682, 58780, 53457, 50866, 78727, 54485, 54193, 50890, 54503, 53745, 50614, 57460, 56139, 50952, 53416, 50829, 52632, 50923, 52013, 56892, 52453, 52859, 55721, 52146, 51004, 50448, 53457, 52144, 57855, 54503, 50938, 54193, 50938, 50451, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 58029, 53270, 52144, 61682, 57208, 51893, 50846, 54280, 50840, 58725, 51406, 52859, 54059, 54193, 52965, 50614, 54169, 67239, 54503, 50882, 54244, 50936, 52850, 50820, 53149, 50923, 52013, 51539, 53940, 56047, 52879, 52270, 56772, 54280, 50887, 50799, 51893, 50887, 54503, 51014, 54280, 51014, 52000, 50936, 58622, 50910, 51587, 56340, 53270, 52275, 55138, 52879, 51406, 52859, 70637, 52819, 59346, 51893, 50887, 54280, 53841, 51130, 52859, 50369, 55628, 52944, 52286, 50938, 53416, 50841, 54009, 51388, 50422, 51893, 50880, 54280, 50887, 52146, 52270, 59509, 54280, 50846, 54503, 50840, 54193, 50962, 52000, 50921, 52879, 50952, 51068, 52275, 58250, 53270, 65368, 58622, 50855, 52352, 50985, 51949, 60481, 52819, 56839, 54223, 50884, 54280, 50983, 52453, 52859, 50367, 55628, 59278, 52031, 50936, 64251, 52004, 50983, 53416, 50846, 52632, 79726, 53457, 52100, 66640, 54223, 50879, 53457, 50910, 51758, 72644, 51949, 58250, 54169, 54912, 50829, 51570, 52859, 62889, 51408, 50936, 52031, 50936, 52391, 55384, 54244, 50805, 51997, 50841, 53311, 51021, 52013, 54169, 51130, 52859, 50367, 53315, 58780, 52391, 53239, 53416, 52100, 56377, 51934, 50859, 52031, 50821, 54223, 75559, 50937, 51995, 51014, 51587, 56340, 53270, 51949, 53971, 55245, 53457, 51406, 52859, 76595, 52819, 60752, 61308, 50924, 54193, 50975, 54503, 50993, 52814, 50820, 52811, 50923, 52013, 53617, 51130, 59713, 51891, 58323, 51651, 50808, 51327, 50833, 51687, 50925, 58725, 50925, 51068, 53270, 51949, 59805, 58077, 53457, 50873, 78727, 50891, 50799, 52819, 55376, 56139, 50952, 54193, 51167, 52391, 50841, 52632, 50923, 52013, 51539, 56926, 52683, 51258, 50416, 54503, 51167, 50418, 51891, 51877, 73768, 51651, 50808, 51327, 50855, 51687, 50840, 53457, 64154, 53270, 51949, 61682, 54104, 58725, 50937, 61672, 50424, 51983, 50425, 52819, 52639, 61308, 50924, 52146, 50825, 52811, 50923, 52013, 51539, 55401, 52683, 51258, 50427, 54193, 51460, 54503, 51603, 50429, 53457, 52275, 53670, 51687, 50833, 51651, 50840, 51327, 50833, 58725, 50937, 51068, 54539, 52275, 61682, 56565, 53457, 50866, 78727, 66640, 52819, 56305, 56139, 50952, 53416, 50829, 52632, 50923, 52013, 51539, 52859, 55401, 54968, 54503, 51158, 54193, 51158, 52146, 51004, 50440, 53457, 52144, 62971, 51687, 50855, 51651, 50840, 51327, 50813, 53457, 58029, 53270, 52144, 61682, 57460, 58725, 64388, 52748, 55721, 52819, 58321, 61308, 50938, 54193, 50948, 52814, 50841, 52811, 51388, 69061, 50369, 55628, 51539, 62849, 54503, 78020, 51891, 52275, 62476, 51687, 50833 ]

[ 0, 250, 765, 6, 1372, 15855, 2125, 19, 3495, 16882, 6, 4246, 13305, 6, 1021, 5901, 1243, 6, 8, 17691, 28430, 4, 8504, 11, 230, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 10, 11956, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 230, 119, 1176, 406, 6, 274, 6, 8, 230, 31473, 10, 8728, 8, 25306, 619, 7, 42, 657, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50628, 50474, 51784, 55405, 50313, 70977, 53369, 50807, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 52355, 55405, 50309, 79260, 50807, 53369, 52424, 52186, 77979, 79260, 50807, 53369, 52728, 51784, 55405, 50313, 70977, 53369, 60773, 51900, 55405, 50314, 70977, 53369, 59369, 52285, 55405, 50314, 79260, 50807, 53369, 50807, 51540, 51802, 51161, 63514, 50918, 51476, 50918, 53369, 56039, 58202, 70977, 52806, 52728, 52285, 50918, 58202, 50918, 51303, 50918, 52557, 77747, 51900, 55405, 50314, 70977, 52557, 50807, 51540, 51784, 50918, 63514, 50918, 51303, 50918, 51774, 56039, 52824, 78295, 70977, 51774, 52728, 51900, 50983, 65621, 50983, 51465, 50983, 51774, 50983, 50468, 51784, 50795, 51465, 50795, 51774, 64095, 52186, 55405, 50313, 50795, 51476, 50795, 51774, 72909, 65829, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 52382, 53369, 52382, 50474, 51784, 55405, 50313, 70977, 53369, 50807, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 52355, 55405, 50309, 79260, 50807, 53369, 52424, 52186, 55405, 50309, 79260, 50807, 52769, 52728, 51784, 55405, 50309, 79260, 50807, 52806, 60773, 51900, 55405, 50314, 70977, 52557, 59369, 52285, 55405, 50314, 50807, 71217, 52435, 50807, 51540, 51802, 51161, 63514, 50807, 51303, 51161, 51614, 57944, 60231, 52424, 58202, 52728, 51950, 50918, 74489, 50918, 51303, 50918, 52769, 77747, 51802, 55405, 50315, 79364, 50807, 52769, 50807, 51540, 52285, 50918, 58202, 50918, 51465, 50807, 52769, 55834, 51303, 52424, 52285, 55405, 50316, 50807, 71217, 52769, 52728, 51802, 50918, 74489, 50918, 72106, 52769, 50918, 50462, 51231, 59369, 51900, 77979, 70977, 52769, 50807, 51540, 51784, 52382, 65829, 50918, 51465, 50918, 51774, 51161, 50438, 63514, 50807, 51303, 52728, 65621, 50918, 51231, 50918, 54437, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 79364, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 51410, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 51410, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 52326, 52424, 51410, 52728, 51476, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 50807, 52102, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 52102, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 52102, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 51410, 52424, 51465, 52728, 51303, 77747, 51900, 61008, 50314, 72909, 52285, 50795, 58202, 50795, 51540, 51802, 55405, 50318, 50807, 51414, 50807, 52557, 52910, 51802, 55405, 50318, 50807, 72106, 52557, 52424, 51802, 55405, 50318, 50807, 71217, 52557, 52728, 51802, 50918, 60231, 50918, 51303, 50918, 52557, 77747, 51784, 61008, 50313, 72909, 51900, 61008, 50314, 50795, 51540, 52285, 55405, 50316, 50807, 72106, 52806, 52910, 52285, 55405, 50316, 50807, 51651, 50807, 52806, 52424, 52285, 55405, 50316, 50807, 71217, 52806, 52728, 52285, 50918, 58202, 50918, 51719, 50918, 51614, 77747, 52355, 61008, 50313, 50795, 51476, 50795, 53722, 72909, 52355, 61008, 50313, 50795, 51476, 50795, 53722, 50795, 51540, 52355, 55405, 50313, 50807, 52571, 50807, 52769, 52910, 52278, 77979, 50807, 52571, 50807, 52769, 52424, 52714, 55405, 50309, 50807, 52571, 50807, 52769, 52728, 52355, 55405, 50313, 50807, 52571, 50807, 53722, 60773, 52278, 77979, 50807, 52571, 50807, 52769, 59369, 52714, 55405, 50309, 50807, 52571, 50807, 52769, 50807, 51540, 52278, 52382, 68150, 50807, 52690, 50807, 54437, 52382, 50426, 50730, 50306, 50807, 52326, 52424, 68150, 50807, 52571, 52728, 50730, 50308, 50918, 51476, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 79364, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 52102, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 52102, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 52326, 52424, 51410, 52728, 51476, 77747, 52355, 61008, 50309, 50795, 51476, 50795, 53369, 72909, 52186, 61008, 50311, 50795, 51476, 50795, 53369, 50795, 51540, 51784, 55405, 50313, 70977, 53369, 52910, 51784, 55405, 50313, 50807, 51465, 50807, 53369, 52424, 51784, 55405, 50313, 79364, 50807, 53369, 52728, 51784, 55405, 50309, 79364, 50807, 52557, 60773, 52186, 50983, 68150, 50983, 51410, 50983, 52557, 50983, 50480, 52714, 61008, 50309, 50795, 51410, 50795, 52557, 50795, 51540, 52355, 52382, 68150, 52382, 51476, 50807, 53369, 52382, 50426, 51410, 52424, 51465, 52728, 51303, 77747, 51900, 61008, 50314, 72909, 52285, 50795, 58202, 50795, 51540, 51802, 55405, 50318, 50807, 51414, 50807, 52557, 52910, 51802, 55405, 50318, 50807, 72106, 52557, 52424, 51802, 55405, 50318, 50807, 71217, 52557, 52728, 51950, 51161, 50730, 50317, 51161, 51303, 51161, 52557, 51161, 51540, 52515, 55405, 50316, 70977, 51774, 52910, 51950, 55405, 50316, 50807, 71217, 51774, 52424, 51802, 55405, 50316, 50807, 72106, 51774, 52728, 52285, 51036, 58202, 51036, 51719, 51036, 51614, 51036, 75196, 52278, 61008, 50311, 51736, 52355, 61008, 50310, 51646, 52186, 77979, 79364, 50807, 52769, 52728, 52186, 55405, 50310, 79364, 50807, 52769, 60773, 52186, 55405, 50309, 50807, 52102, 50807, 52769, 59369, 52186, 55405, 50308, 79364, 50807, 54437, 50807, 51540, 52355, 50983, 50730, 50308, 50983, 51476, 50983, 54437, 57345, 52278, 61008, 50308, 50795, 52303, 50795, 54437, 51646, 52714, 51492, 68150, 50918, 52326, 50918, 53369, 51492, 50462, 50730, 50308, 50918, 51476, 50918, 51540, 50730, 50306, 50918, 52303, 56039, 50730, 50304, 50918, 52326, 50918, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 1619, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 2236, 1021, 2678, 29, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 8, 2365, 12, 6928, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 51570, 53140, 51892, 50458, 51980, 51313, 50459, 51327, 51313, 50460, 51651, 51313, 50461, 51687, 51359, 50799, 54872, 51307, 50441, 52170, 58348, 51567, 56328, 51986, 51460, 65310, 51238, 51846, 51363, 51317, 51412, 51317, 51412, 50970, 51412, 50970, 51412, 51169, 51363, 51783, 51427, 78012, 53214, 64080, 51236, 55027, 57079, 51325, 51116, 51846, 51534, 51317, 51534, 51317, 51534, 50970, 51534, 50970, 51534, 51169, 51534, 50913, 58844, 50913, 56552, 52170, 70120, 55027, 57959, 51228, 51362, 51846, 50833, 51317, 50810, 51317, 50810, 66805, 66805, 51169, 50379, 52638, 55065, 59037, 51846, 51079, 51317, 51079, 51317, 51079, 69162, 69162, 51169, 51079, 51567, 50386, 52638, 52085, 59580, 50913, 58862, 51846, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51169, 50908, 51986, 70120, 53123, 62622, 51846, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51169, 57402, 50372, 54395, 50447, 51325, 51362, 51846, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51169, 51203, 51986, 56460, 51832, 50450, 50913, 60201, 51783, 58950, 56474, 62082, 51846, 50838, 51317, 50838, 51317, 50838, 69463, 69463, 77217, 51722, 51653, 51383, 52085, 62065, 51383, 54853, 51550, 53596, 50991, 51246, 51269, 51317, 51269, 51317, 51269, 50970, 51269, 50970, 51269, 51064, 57960, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 50970, 51832, 50970, 51832, 51064, 51832, 53444, 59149, 64080, 51246, 51123, 51317, 51123, 51317, 51123, 50970, 51123, 50970, 51123, 51064, 50368, 51369, 55065, 57079, 50945, 51238, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 51236, 56138, 58844, 50913, 56552, 52170, 50993, 51236, 55027, 57959, 51096, 50983, 73838, 51317, 50810, 51317, 50810, 66805, 66805, 51064, 50379, 52638, 55065, 59037, 72377, 51317, 51079, 51317, 51079, 69162, 69162, 51064, 51079, 51383, 55065, 59580, 50913, 58862, 51246, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51064, 50908, 51567, 59149, 62622, 51246, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51064, 57402, 52085, 65932, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 51986, 55065, 51832, 57762, 51160, 51986, 66149, 60201, 51236, 55027, 62082, 77222, 51317, 50838, 51317, 50838, 69463, 69463, 79298, 51783, 80209, 55065, 62065, 51722, 50980, 51383, 54853, 51550, 55194, 51460, 51246, 51269, 51317, 51269, 51317, 51269, 51078, 51269, 51078, 51269, 51064, 57960, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 51078, 51832, 51078, 51832, 51064, 50363, 50994, 64080, 51246, 51123, 51317, 51123, 51317, 51123, 51078, 51123, 51078, 51123, 51064, 50368, 51369, 55027, 57079, 51228, 51235, 51246, 51203, 51317, 51203, 51317, 51203, 51078, 51203, 51078, 51203, 51064, 51203, 53444, 54976, 58844, 50913, 56552, 52170, 56010, 53611, 57959, 53344, 51541, 73838, 51317, 50810, 51317, 64621, 50822, 73776, 51064, 50379, 52638, 52085, 59037, 72377, 51317, 51079, 51317, 51079, 51078, 51079, 51078, 51079, 51064, 51079, 51567, 50387, 52638, 52085, 59580, 50913, 58862, 51246, 50908, 51317, 50908, 51317, 50908, 51078, 50908, 51078, 50908, 51064, 50908, 51986, 56460, 62622, 51246, 50851, 51317, 50851, 51317, 50851, 72212, 72212, 51064, 57402, 50383, 54395, 50447, 51228, 50895, 51246, 51203, 51317, 51203, 51317, 51203, 51078, 51203, 51078, 51203, 51064, 51203, 51986, 59149, 51832, 50450, 51228, 51090, 50913, 60201, 51783, 63973, 53869, 62082, 77222, 51317, 50838, 51317, 50838, 78249, 78249, 79298, 51383, 52085, 62065, 51722, 50911, 51383, 55065, 51550, 55563, 51427, 50986, 51269, 51136, 51269, 51136, 51269, 51169, 51269, 51169, 51269, 51032, 57960, 63301, 50986, 51832, 51136, 51832, 51136, 51832, 51169, 51832, 51169, 51832, 51032, 51832, 51986, 56460, 51269, 60434, 51123, 51136, 51123, 51136, 51123, 51169, 51123, 51169, 51123, 51032, 51123, 51722, 63973, 55065, 57079, 51105, 51175, 50986, 51203, 51136, 51203, 51136, 51203, 51169, 51203, 51169, 51203, 51032, 51203, 51986, 51573, 50913, 58844, 50913, 56552, 51236, 53189, 57959, 51796, 51226, 67295, 51136, 50810, 51136, 50810, 78735, 51032, 50379, 52638, 55065, 59037, 68104, 51136, 51079, 51136, 51079, 51169, 51079, 51169, 51079, 51032, 51079, 51383, 55027, 59580, 50913, 74787, 52170, 73064, 50986, 50908, 51136, 50908, 51136, 50908, 51169, 50908, 51169, 50908, 51032, 53461, 62622, 78777, 74977, 74977, 51169, 50851, 51169, 50851, 51032, 57402, 50383, 54395, 50447, 51105, 50818, 50986, 51203, 51136, 51203, 51136, 51203, 51169, 51203, 51169, 51203, 51032, 51203, 50913, 51832, 57762, 50806, 51567, 51021, 50913, 60201, 51236, 56474, 62082, 51325, 50923, 67395, 71546, 71546, 51169, 50827, 51169, 50827, 67671, 51986, 51021, 51383, 52085, 62065, 75480, 51136, 50984, 51136, 50984, 76992, 76992, 51032, 50369, 52638, 52085, 51550, 55708, 51427, 51846, 51363, 51317, 51412, 51317, 51412, 50970, 51412, 50970, 51412, 51169, 51363, 51495, 52121, 78012, 50415, 51783, 51054, 53214, 64080, 51236, 54853, 57079, 51325, 51235, 51846, 51534, 51317, 51534, 51317, 51534, 50970, 51534, 50970, 51534, 51169, 51534, 51061, 55428, 50913, 58844, 50913, 56552, 52170, 70120, 55027, 57959, 52022, 50896, 51846, 50833, 51317, 50810, 51317, 50810, 66805, 66805, 51169, 50833, 51281, 52821, 51383, 55065, 59037, 51846, 51079, 51317, 51079, 51317, 51079, 69162, 69162, 51169, 51079, 51567, 50923, 51383, 55027, 59580, 50913, 58862, 51846, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51169, 50908, 52170, 56460, 62622, 51846, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51169, 57402, 50381, 54395, 50447, 51325, 50949, 51846, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51169, 51203, 52184, 59149, 51832, 50450, 51325, 51054, 50913, 60201, 51567, 63973, 56474, 62082, 51846, 50838, 51317, 50838, 51317, 50838, 69463, 69463, 77217, 51383, 55065, 62065, 52184, 50388, 52638, 55027, 51550, 53596, 51116, 51246, 51269, 51317, 51269, 51317, 51269, 50970, 51269, 50970, 51269, 51064, 57960, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 50970, 51832, 50970, 51832, 51064, 51832, 52170, 66149, 64080, 51246, 51123, 51317, 51123, 51317, 51123, 50970, 51123, 50970, 51123, 51064, 50368, 51369, 55027, 57079, 50945, 51238, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 50913, 58844, 50913, 56552, 51236, 55027, 57959, 51096, 51294, 73838, 51317, 50810, 51317, 50810, 66805, 66805, 51064, 50379, 52638, 55065, 59037, 72377, 51317, 51079, 51317, 51079, 69162, 69162, 51064, 51079, 51783, 59429, 55027, 59580, 52089, 50388, 52080, 50441, 51246, 50908, 51317, 50908, 51317, 50908, 50970, 50908, 50970, 50908, 51064, 50908, 51986, 56460, 62622, 51246, 50851, 51317, 50851, 51317, 50851, 73828, 73828, 51064, 57402, 52085, 65932, 51246, 51203, 51317, 51203, 51317, 51203, 50970, 51203, 50970, 51203, 51064, 51203, 51722, 54976, 51832, 57762, 51235, 50913, 60201, 51567, 61705, 55027, 62082, 77222, 51317, 50838, 51317, 50838, 69463, 69463, 79298, 51383, 55065, 62065, 52170, 51603, 51383, 55027, 51550, 53870, 51460, 51246, 51269, 51317, 51269, 51317, 51269, 51078, 51269, 51078, 51269, 51064, 51269, 51341, 52149, 50913, 63301, 51246, 51832, 51317, 51832, 51317, 51832, 51078 ]