Datasets:

kpriyanshu256

/

MultiTabQA-multitable_pretraining-Salesforce-codet5-base_train-latex-118000

like 0

[ [ 1, 4025, 11152, 12, 1019, 67, 6874, 13, 628, 23350, 71, 5015, 1625, 938, 480, 1261, 7445, 410, 261, 821, 6346, 13, 411, 2121, 67, 529, 34, 294, 23350, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 473, 1353, 67, 6874, 473, 23803, 473, 938, 473, 19764, 67, 10222, 473, 7212, 9754, 473, 284, 20317, 67, 5986, 332, 87, 285, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 23673, 22, 473, 314, 737, 360, 473, 25474, 261, 8766, 6346, 13, 473, 1059, 6334, 17, 24, 1105, 261, 5340, 13, 473, 6957, 272, 3361, 1332, 86, 777, 4530, 17298, 17, 16010, 86, 473, 27890, 292, 1736, 203, 21, 473, 576, 473, 23673, 26, 473, 314, 737, 360, 473, 25474, 261, 8766, 6346, 13, 473, 1059, 9222, 17, 8749, 27, 261, 23, 13, 473, 6957, 272, 3361, 777, 4530, 17298, 17, 16010, 86, 473, 27890, 292, 1736, 203, 22, 473, 890, 473, 23673, 28, 473, 314, 737, 360, 473, 25474, 261, 8766, 6346, 13, 473, 1059, 9470, 17, 24, 9036, 261, 26, 13, 473, 6957, 272, 3361, 777, 4530, 17298, 17, 16010, 86, 473, 27890, 292, 1736, 203, 23, 473, 1059, 473, 16291, 473, 314, 737, 360, 473, 1261, 7445, 410, 261, 821, 6346, 13, 473, 1059, 5608, 17, 8875, 21, 261, 28, 13, 473, 14471, 1154, 87, 353, 71, 777, 4530, 17298, 17, 16010, 86, 473, 27890, 292, 1736, 203, 24, 473, 1381, 473, 4044, 22, 473, 314, 737, 360, 473, 1261, 7445, 410, 261, 821, 6346, 13, 473, 9934, 22, 17, 7616, 22, 261, 2499, 13, 473, 14471, 1154, 87, 353, 80, 777, 4530, 17298, 17, 16010, 86, 473, 27890, 292, 1736, 203, 25, 473, 1666, 473, 18965, 473, 13958, 77, 473, 8244, 7132, 80, 4840, 473, 11631, 17, 5082, 29, 261, 2163, 13, 473, 364, 72, 433, 26949, 331, 2163, 31248, 17, 451, 9341, 90, 4397, 8739, 7132, 17, 26981, 473, 30190, 1736, 203, 26, 473, 2371, 473, 27853, 473, 13958, 77, 473, 276, 7132, 80, 4840, 473, 890, 2163, 17, 1578, 29, 261, 3462, 13, 473, 14471, 1154, 87, 27697, 655, 353, 80, 17, 75, 777, 4530, 17298, 17, 16010, 86, 473, 276, 3368, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 1019, 67, 6874, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4044, 21, 18, 24, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 88, 21, 18, 9149, 67, 350, 3631, 268, 22, 18, 28012, 18738, 2779, 67, 350, 628, 5228, 487, 268, 21, 1233, 20994, 67, 12960, 487, 268, 22, 603, 268, 21, 18, 9149, 67, 350, 273, 268, 22, 18, 9149, 67, 350, 1625, 1056, 12, 1132, 67, 4139, 13, 405, 576, 7414, 18, 20, 578, 10480, 67, 6874, 1545, 23673, 27, 471, 5927, 273, 5927, 314, 427, 77, 17, 366, 1434, 69, 328, 3353, 578, 5228, 67, 10222, 273, 3597, 18473, 411, 2121, 67, 529, 34, 294, 5228, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 5228, 67, 350, 473, 10480, 67, 6874, 473, 667, 473, 5927, 473, 5228, 67, 10222, 473, 460, 67, 4139, 473, 9312, 67, 11500, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 23673, 21, 473, 30616, 952, 473, 366, 2439, 272, 4363, 3742, 17, 366, 1434, 69, 473, 3597, 18473, 473, 23633, 18, 20, 473, 576, 1736, 203, 21, 473, 576, 473, 23673, 22, 473, 30616, 952, 473, 312, 13007, 70, 280, 83, 293, 2895, 77, 300, 366, 1434, 69, 473, 3597, 18473, 473, 15981, 18, 20, 473, 404, 1736, 203, 22, 473, 890, 473, 23673, 23, 473, 30616, 952, 473, 312, 13007, 70, 280, 83, 293, 2895, 77, 300, 366, 1434, 69, 473, 3597, 18473, 473, 2593, 29, 18, 20, 473, 1059, 1736, 203, 23, 473, 1059, 473, 23673, 24, 473, 30616, 952, 473, 314, 427, 77, 767, 2822, 17, 366, 1434, 69, 473, 3597, 18473, 473, 5342, 24, 18, 20, 473, 1381, 1736, 203, 24, 473, 1381, 473, 23673, 25, 473, 30616, 952, 473, 314, 427, 77, 767, 2822, 17, 366, 1434, 69, 473, 3597, 18473, 473, 15892, 18, 20, 473, 890, 1736, 203, 25, 473, 1666, 473, 23673, 26, 473, 30616, 952, 473, 366, 1434, 69, 473, 3597, 18473, 473, 28245, 18, 20, 473, 2371, 1736, 203, 26, 473, 2371, 473, 23673, 27, 473, 30616, 952, 473, 366, 1434, 69, 473, 3597, 18473, 473, 576, 7414, 18, 20, 473, 1725, 1736, 203, 27, 473, 1725, 473, 23673, 28, 473, 30616, 952, 473, 5927, 314, 427, 77, 17, 366, 1434, 69, 328, 3353, 473, 3597, 18473, 473, 22684, 18, 20, 473, 5958, 1736, 203, 28, 473, 2468, 473, 404, 11984, 473, 30616, 952, 473, 5927, 314, 427, 77, 17, 366, 1434, 69, 328, 3353, 473, 3597, 18473, 473, 8043, 21, 18, 20, 473, 4648, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 20994, 67, 12960, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17734, 335, 2779, 67, 350, 473, 20994, 67, 350, 473, 5228, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 404, 1736, 203, 21, 473, 576, 473, 576, 473, 576, 1736, 203, 22, 473, 890, 473, 890, 473, 890, 1736, 203, 23, 473, 404, 473, 1059, 473, 2371, 1736, 203, 24, 473, 404, 473, 1381, 473, 1666, 1736, 203, 25, 473, 404, 473, 576, 473, 890, 1736, 203, 26, 473, 404, 473, 1725, 473, 2371, 1736, 203, 27, 473, 1381, 473, 1381, 473, 576, 1736, 203, 28, 473, 2371, 473, 576, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 9149, 67, 350, 13, 473, 17734, 335, 2779, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13191, 473, 404, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3286, 16, 2142, 12, 10035, 67, 350, 13, 628, 9788, 6872, 1625, 5927, 67, 350, 480, 1703, 471, 314, 67, 22, 70, 1545, 374, 578, 314, 67, 844, 480, 225, 471, 314, 67, 21, 70, 1545, 374, 578, 10763, 480, 24153, 471, 314, 67, 792, 1648, 374, 471, 7291, 67, 350, 480, 9670, 869, 13266, 1611, 578, 314, 67, 683, 480, 225, 578, 884, 20910, 67, 350, 480, 524, 471, 314, 67, 23, 70, 480, 374, 471, 314, 67, 20850, 405, 30116, 7812, 777, 2027, 3286, 16, 2142, 12, 10035, 67, 350, 13, 628, 27464, 1787, 1625, 14543, 1648, 2371, 578, 9834, 70, 1545, 374, 471, 7291, 67, 350, 273, 800, 73, 25356, 30952, 1611, 411, 2121, 67, 529, 34, 294, 9788, 6872, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 473, 314, 67, 454, 473, 10763, 473, 314, 67, 28260, 1787, 473, 314, 67, 536, 3558, 473, 314, 67, 84, 473, 314, 67, 71, 473, 314, 67, 21, 70, 473, 314, 67, 22, 70, 473, 314, 67, 23, 70, 473, 314, 67, 1049, 473, 314, 67, 20850, 473, 314, 67, 8522, 473, 314, 67, 5809, 473, 314, 67, 792, 473, 314, 67, 19153, 473, 314, 67, 844, 473, 314, 67, 683, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 4653, 1224, 83, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 2872, 473, 374, 473, 4711, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 4653, 303, 4840, 1611, 473, 6549, 473, 225, 473, 6549, 473, 6549, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 374, 473, 5958, 473, 374, 473, 1059, 473, 8043, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 324, 481, 2377, 2414, 1611, 473, 12899, 473, 225, 473, 12899, 473, 12899, 473, 374, 473, 2371, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 12732, 473, 12732, 473, 225, 473, 225, 473, 225, 1736, 203, 23, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 356, 73, 4840, 1611, 473, 5342, 473, 225, 473, 5342, 473, 5342, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 6549, 473, 374, 473, 404, 473, 6549, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 314, 1006, 343, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 5196, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 404, 473, 404, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 525, 484, 1049, 69, 1611, 473, 2872, 473, 225, 473, 2872, 473, 2872, 473, 374, 473, 374, 473, 374, 473, 5045, 473, 374, 473, 404, 473, 374, 473, 404, 473, 374, 473, 404, 473, 225, 473, 225, 473, 225, 1736, 203, 26, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 6108, 9062, 5353, 1611, 473, 12899, 473, 225, 473, 12899, 473, 12899, 473, 374, 473, 12899, 473, 374, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 1381, 473, 1381, 473, 225, 473, 225, 473, 225, 1736, 203, 27, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 18551, 1727, 3395, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 374, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 28, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 1694, 287, 72, 287, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 2468, 473, 374, 473, 2468, 473, 225, 473, 225, 473, 225, 1736, 203, 29, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 12408, 2031, 908, 1611, 473, 2872, 473, 225, 473, 2872, 473, 2872, 473, 374, 473, 374, 473, 404, 473, 374, 473, 374, 473, 4711, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 2163, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 12408, 2031, 3395, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 2468, 473, 374, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 5196, 473, 374, 473, 5196, 473, 225, 473, 225, 473, 225, 1736, 203, 2499, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 5186, 1072, 9197, 1611, 473, 890, 473, 225, 473, 890, 473, 890, 473, 374, 473, 374, 473, 374, 473, 374, 473, 890, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 2138, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 302, 3809, 93, 329, 1611, 473, 10659, 473, 225, 473, 10659, 473, 10659, 473, 374, 473, 374, 473, 374, 473, 374, 473, 404, 473, 10659, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 3437, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 284, 790, 93, 869, 1611, 473, 6549, 473, 225, 473, 6549, 473, 6549, 473, 374, 473, 1059, 473, 374, 473, 374, 473, 404, 473, 374, 473, 576, 473, 2468, 473, 1381, 473, 2872, 473, 225, 473, 225, 473, 225, 1736, 203, 3461, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 366, 1145, 343, 1611, 473, 9131, 473, 225, 473, 9131, 473, 9131, 473, 374, 473, 4200, 473, 374, 473, 374, 473, 1728, 473, 404, 473, 374, 473, 890, 473, 404, 473, 1059, 473, 225, 473, 225, 473, 225, 1736, 203, 3600, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 417, 310, 2540, 1611, 473, 4200, 473, 225, 473, 4200, 473, 4200, 473, 374, 473, 2468, 473, 374, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 2142, 12, 10035, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 11212, 473, 374, 1736, 203, 21, 473, 6549, 11212, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 5927, 628, 5228, 1625, 9312, 67, 11500, 273, 1381, 1335, 2027, 5927, 628, 17734, 335, 2779, 1625, 5927, 480, 1619, 578, 508, 480, 1675, 72, 1385, 4508, 2679, 471, 17734, 335, 2779, 67, 350, 273, 2468, 18, 20, 411, 2121, 67, 529, 34, 294, 5228, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 5228, 67, 350, 473, 10480, 67, 6874, 473, 667, 473, 5927, 473, 5228, 67, 10222, 473, 460, 67, 4139, 473, 9312, 67, 11500, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 23673, 21, 473, 30616, 952, 473, 366, 2439, 272, 4363, 3742, 17, 366, 1434, 69, 473, 3597, 18473, 473, 23633, 18, 20, 473, 576, 1736, 203, 21, 473, 576, 473, 23673, 22, 473, 30616, 952, 473, 312, 13007, 70, 280, 83, 293, 2895, 77, 300, 366, 1434, 69, 473, 3597, 18473, 473, 15981, 18, 20, 473, 404, 1736, 203, 22, 473, 890, 473, 23673, 23, 473, 30616, 952, 473, 312, 13007, 70, 280, 83, 293, 2895, 77, 300, 366, 1434, 69, 473, 3597, 18473, 473, 2593, 29, 18, 20, 473, 1059, 1736, 203, 23, 473, 1059, 473, 23673, 24, 473, 30616, 952, 473, 314, 427, 77, 767, 2822, 17, 366, 1434, 69, 473, 3597, 18473, 473, 5342, 24, 18, 20, 473, 1381, 1736, 203, 24, 473, 1381, 473, 23673, 25, 473, 30616, 952, 473, 314, 427, 77, 767, 2822, 17, 366, 1434, 69, 473, 3597, 18473, 473, 15892, 18, 20, 473, 890, 1736, 203, 25, 473, 1666, 473, 23673, 26, 473, 30616, 952, 473, 366, 1434, 69, 473, 3597, 18473, 473, 28245, 18, 20, 473, 2371, 1736, 203, 26, 473, 2371, 473, 23673, 27, 473, 30616, 952, 473, 366, 1434, 69, 473, 3597, 18473, 473, 576, 7414, 18, 20, 473, 1725, 1736, 203, 27, 473, 1725, 473, 23673, 28, 473, 30616, 952, 473, 5927, 314, 427, 77, 17, 366, 1434, 69, 328, 3353, 473, 3597, 18473, 473, 22684, 18, 20, 473, 5958, 1736, 203, 28, 473, 2468, 473, 404, 11984, 473, 30616, 952, 473, 5927, 314, 427, 77, 17, 366, 1434, 69, 328, 3353, 473, 3597, 18473, 473, 8043, 21, 18, 20, 473, 4648, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 17734, 335, 2779, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17734, 335, 2779, 67, 350, 473, 508, 473, 5927, 473, 5023, 67, 6874, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 18, 20, 473, 525, 15548, 272, 359, 1165, 473, 290, 6795, 473, 20869, 18, 20, 473, 18091, 1736, 203, 21, 473, 576, 18, 20, 473, 525, 22223, 324, 26253, 473, 290, 6795, 473, 19451, 18, 20, 473, 6580, 1736, 203, 22, 473, 890, 18, 20, 473, 268, 6598, 272, 359, 1165, 473, 1619, 473, 4044, 25, 18, 20, 473, 21193, 1736, 203, 23, 473, 1059, 18, 20, 473, 2267, 272, 359, 1165, 473, 1619, 473, 4044, 29, 18, 20, 473, 9131, 1736, 203, 24, 473, 1381, 18, 20, 473, 1149, 549, 73, 366, 355, 383, 19322, 473, 462, 71, 473, 4044, 22, 18, 20, 473, 13191, 1736, 203, 25, 473, 1666, 18, 20, 473, 437, 89, 800, 1100, 266, 8377, 473, 1619, 473, 12659, 18, 20, 473, 3847, 1736, 203, 26, 473, 2371, 18, 20, 473, 1675, 72, 1385, 4508, 2679, 473, 276, 4749, 473, 4044, 25, 18, 20, 473, 12292, 1736, 203, 27, 473, 1725, 18, 20, 473, 525, 15548, 1825, 343, 2450, 73, 473, 1619, 473, 27212, 18, 20, 473, 17077, 1736, 203, 28, 473, 2468, 18, 20, 473, 1675, 72, 1385, 4508, 2679, 473, 276, 4749, 473, 4044, 23, 18, 20, 473, 17495, 1736, 203, 29, 473, 1728, 18, 20, 473, 312, 335, 856, 1825, 343, 2450, 73, 473, 1844, 69, 473, 4044, 29, 18, 20, 473, 18012, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 5927, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 427, 77, 767, 2822, 17, 366, 1434, 69, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 77, 67, 350, 3631, 268, 22, 18, 89, 67, 350, 628, 761, 487, 268, 21, 1233, 10725, 487, 268, 22, 603, 268, 21, 18, 77, 67, 350, 273, 268, 22, 18, 77, 67, 350, 411, 2121, 67, 529, 34, 294, 761, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 277, 67, 350, 473, 2077, 1736, 203, 64, 13138, 5345, 203, 20, 473, 374, 473, 293, 2091, 1736, 203, 21, 473, 404, 473, 578, 726, 1736, 203, 22, 473, 576, 473, 595, 298, 1736, 203, 23, 473, 890, 473, 699, 931, 5161, 1736, 203, 24, 473, 1059, 473, 1712, 504, 6821, 1736, 203, 25, 473, 1381, 473, 3894, 1736, 203, 26, 473, 1666, 473, 8024, 366, 4773, 1385, 1736, 203, 27, 473, 2371, 473, 276, 416, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 10725, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 279, 67, 350, 473, 582, 67, 350, 473, 277, 67, 350, 473, 13953, 473, 6171, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 404, 473, 1728, 473, 404, 1736, 203, 21, 473, 576, 473, 576, 473, 404, 473, 1381, 473, 576, 1736, 203, 22, 473, 890, 473, 404, 473, 1059, 473, 2371, 473, 890, 1736, 203, 23, 473, 1059, 473, 576, 473, 2371, 473, 1728, 473, 2371, 1736, 203, 24, 473, 1381, 473, 576, 473, 1381, 473, 2371, 473, 1059, 1736, 203, 25, 473, 1666, 473, 404, 473, 890, 473, 1381, 473, 1381, 1736, 203, 26, 473, 2371, 473, 576, 473, 2371, 473, 1666, 473, 1666, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 77, 67, 350, 13, 473, 582, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2371, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 88, 21, 18, 267, 2732, 3631, 268, 22, 18, 72, 10540, 628, 4362, 487, 268, 21, 1233, 443, 15750, 487, 268, 22, 603, 268, 21, 18, 72, 2135, 273, 268, 22, 18, 72, 2135, 1625, 302, 10540, 1545, 2371, 22152, 578, 18290, 480, 2252, 5402, 11987, 471, 4681, 273, 286, 578, 302, 529, 273, 276, 427, 330, 4073, 264, 310, 578, 7504, 273, 1381, 3361, 18, 4449, 21, 411, 2121, 67, 529, 34, 294, 4362, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 7504, 473, 18290, 473, 6197, 1282, 473, 316, 2732, 473, 4681, 473, 7507, 473, 302, 2135, 1736, 203, 64, 13138, 5345, 203, 20, 473, 14707, 18, 15168, 473, 26579, 328, 2165, 3505, 473, 890, 473, 1666, 17666, 473, 5874, 91, 473, 890, 473, 14707, 1736, 203, 21, 473, 14707, 18, 23494, 473, 16658, 349, 358, 26579, 888, 6254, 473, 404, 473, 1059, 29157, 473, 286, 473, 1059, 473, 14707, 1736, 203, 22, 473, 14707, 18, 23054, 473, 13079, 358, 5402, 11987, 316, 2252, 473, 890, 473, 404, 3657, 23, 473, 5874, 91, 473, 890, 473, 14707, 1736, 203, 23, 473, 14707, 18, 22267, 473, 13079, 358, 5402, 11987, 316, 276, 19, 71, 9904, 473, 890, 473, 1059, 29157, 473, 5874, 91, 473, 2593, 473, 14707, 1736, 203, 24, 473, 14707, 18, 23379, 473, 22991, 6053, 326, 24264, 473, 890, 473, 1666, 17666, 473, 5874, 91, 473, 1059, 473, 14707, 1736, 203, 25, 473, 14707, 18, 26009, 473, 2252, 5402, 11987, 473, 890, 473, 1666, 17666, 473, 286, 74, 473, 1728, 30, 5082, 17, 2138, 473, 14707, 1736, 203, 26, 473, 14707, 18, 22, 2499, 473, 9753, 14908, 5402, 11987, 473, 890, 473, 1666, 17666, 473, 286, 74, 473, 404, 17, 22, 30, 3600, 473, 14707, 1736, 203, 27, 473, 14707, 18, 3787, 27, 473, 501, 12597, 316, 2252, 473, 890, 473, 23543, 21, 473, 5874, 91, 473, 2468, 473, 14707, 1736, 203, 28, 473, 14707, 18, 22, 1578, 473, 1778, 381, 1980, 20303, 473, 890, 473, 24645, 5558, 473, 14721, 473, 404, 17, 22, 30, 5082, 473, 14707, 1736, 203, 29, 473, 14707, 18, 5324, 21, 473, 5305, 8371, 3679, 473, 890, 473, 2468, 28406, 473, 5874, 91, 473, 404, 473, 14707, 1736, 203, 2163, 473, 14707, 18, 23, 4630, 473, 2240, 13406, 310, 473, 404, 473, 24645, 5558, 473, 341, 473, 1059, 17, 26, 30, 3462, 473, 14707, 1736, 203, 2499, 473, 14707, 18, 23, 3600, 473, 2063, 14908, 473, 890, 473, 576, 15561, 473, 286, 74, 473, 576, 30, 5082, 17, 24, 473, 14707, 1736, 203, 2138, 473, 14707, 18, 3707, 23, 473, 26579, 2619, 284, 1074, 14773, 1031, 473, 890, 473, 21284, 28, 473, 5874, 91, 473, 1725, 473, 14707, 1736, 203, 3437, 473, 14707, 18, 3707, 27, 473, 16859, 14908, 473, 890, 473, 28308, 2643, 473, 312, 473, 890, 473, 14707, 1736, 203, 3461, 473, 14707, 18, 23, 4449, 473, 16658, 349, 358, 20032, 473, 890, 473, 28244, 2138, 473, 5874, 91, 473, 2468, 473, 14707, 1736, 203, 3600, 473, 14707, 18, 24, 3600, 473, 2063, 14908, 473, 890, 473, 576, 15561, 473, 286, 74, 473, 576, 30, 5082, 17, 24, 473, 14707, 1736, 203, 2313, 473, 14707, 18, 24, 3707, 473, 26579, 14908, 473, 890, 473, 21284, 28, 473, 5874, 91, 473, 1725, 473, 14707, 1736, 203, 4033, 473, 14707, 18, 24, 6418, 473, 16859, 14908, 473, 890, 473, 28308, 2643, 473, 312, 473, 890, 473, 14707, 1736, 203, 2643, 473, 14707, 18, 6334, 25, 473, 10251, 28701, 6735, 1706, 20303, 473, 890, 473, 28244, 4366, 473, 286, 74, 473, 404, 17, 22, 30, 3600, 473, 14707, 1736, 203, 3657, 473, 14707, 18, 8749, 21, 473, 26579, 331, 1951, 473, 890, 473, 1725, 22214, 473, 5874, 91, 473, 404, 473, 14707, 1736, 203, 3462, 473, 14707, 18, 24, 4449, 473, 20032, 277, 473, 890, 473, 28244, 2138, 473, 5874, 91, 473, 2468, 473, 14707, 1736, 203, 5340, 473, 14707, 18, 8749, 25, 473, 13079, 358, 15145, 2653, 4929, 473, 890, 473, 2371, 7235, 22, 473, 5874, 91, 473, 576, 473, 14707, 1736, 203, 3787, 473, 14707, 18, 5995, 473, 26579, 888, 6254, 8216, 3261, 473, 890, 473, 23543, 21, 473, 312, 473, 404, 473, 14707, 1736, 203, 4366, 473, 14707, 18, 26, 1611, 473, 26579, 888, 6254, 6111, 267, 297, 473, 404, 473, 1666, 30380, 473, 286, 74, 473, 1728, 30, 5082, 17, 2138, 473, 14707, 1736, 203, 3247, 473, 14707, 18, 9222, 27, 473, 3551, 9239, 17313, 471, 938, 310, 473, 890, 473, 23421, 4366, 473, 312, 473, 1059, 17, 25, 30, 5082, 473, 14707, 1736, 203, 2947, 473, 14707, 18, 8285, 27, 473, 6111, 267, 297, 603, 5305, 8371, 5316, 473, 890, 473, 23543, 21, 473, 286, 473, 576, 473, 14707, 1736, 203, 5558, 473, 1381, 3361, 18, 20227, 473, 610, 376, 1706, 6285, 473, 1059, 473, 10213, 2499, 473, 5874, 91, 473, 2593, 473, 1381, 3361, 1736, 203, 5324, 473, 1381, 3361, 18, 4033, 21, 473, 20035, 4233, 351, 270, 2102, 473, 1059, 473, 1725, 4700, 22, 473, 5874, 91, 473, 4648, 473, 1381, 3361, 1736, 203, 6030, 473, 6604, 18, 3462, 23, 473, 2236, 310, 277, 473, 890, 473, 24645, 4366, 473, 268, 473, 1666, 30, 3600, 17, 28, 30, 7950, 473, 1381, 3361, 1736, 203, 5540, 473, 6604, 18, 21573, 473, 2236, 310, 6072, 473, 890, 473, 24645, 4366, 473, 286, 473, 1666, 30, 3600, 17, 28, 30, 7950, 473, 1381, 3361, 1736, 203, 5082, 473, 6604, 18, 31777, 473, 13160, 328, 2219, 277, 473, 890, 473, 1725, 7235, 21, 473, 341, 473, 1666, 30, 3600, 17, 28, 30, 7950, 473, 1381, 3361, 1736, 203, 6938, 473, 6604, 18, 3462, 26, 473, 13160, 328, 2219, 6072, 473, 890, 473, 1725, 7235, 21, 473, 312, 473, 1666, 30, 3600, 17, 28, 30, 7950, 473, 1381, 3361, 1736, 203, 1578, 473, 1381, 3361, 18, 5540, 21, 473, 9103, 524, 29087, 471, 15221, 2001, 7555, 2387, 473, 1059, 473, 1666, 6564, 21, 473, 5874, 91, 473, 2468, 473, 1381, 3361, 1736, 203, 3707, 473, 1381, 3361, 18, 23, 2163, 473, 11331, 471, 7691, 473, 1059, 473, 1725, 20481, 473, 5874, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 267, 2732, 13, 473, 302, 10540, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 3247, 24, 18, 5482, 473, 19692, 4700, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 6666, 67, 3652, 67, 2867, 16, 1758, 67, 350, 16, 6666, 67, 529, 628, 29380, 1625, 6666, 67, 10540, 480, 1666, 3247, 17, 5908, 26, 17, 4700, 12416, 578, 6666, 67, 350, 273, 1059, 2643, 471, 1758, 67, 350, 1648, 6580, 29, 578, 6666, 67, 3652, 67, 2867, 480, 1619, 81, 773, 8942, 36, 8236, 18, 3341, 7812, 2027, 6666, 67, 3652, 67, 2867, 16, 1758, 67, 350, 16, 6666, 67, 529, 628, 3073, 414, 1625, 3073, 264, 67, 350, 480, 890, 9803, 578, 6666, 67, 3652, 67, 2867, 273, 3399, 3797, 1812, 18, 87, 9293, 1518, 36, 8236, 18, 2758, 471, 1758, 67, 350, 405, 20168, 578, 6666, 67, 529, 480, 30356, 25439, 471, 6666, 67, 10540, 480, 404, 17, 28, 4313, 17, 3103, 24, 17, 7235, 2163, 92, 31197, 471, 1308, 67, 6395, 273, 6555, 411, 2121, 67, 529, 34, 294, 29380, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 350, 473, 1758, 67, 350, 473, 6666, 67, 529, 473, 6666, 67, 10540, 473, 6666, 67, 3652, 67, 2867, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 27610, 473, 576, 5292, 473, 17895, 1673, 473, 1666, 3247, 17, 5908, 26, 17, 4700, 12416, 473, 525, 264, 323, 18, 30250, 2586, 36, 8236, 18, 832, 473, 225, 1736, 203, 21, 473, 576, 9599, 473, 24645, 473, 22572, 3036, 83, 473, 2468, 3461, 17, 29, 3600, 17, 30623, 473, 525, 22223, 816, 5324, 36, 8236, 18, 832, 473, 225, 1736, 203, 22, 473, 27499, 473, 6580, 29, 473, 16260, 816, 473, 404, 17, 24, 4449, 17, 26009, 17, 7132, 5292, 92, 26, 2539, 473, 302, 287, 1917, 5877, 36, 8236, 18, 832, 473, 225, 1736, 203, 23, 473, 1059, 2643, 473, 6580, 29, 473, 302, 814, 80, 473, 261, 30380, 13, 27, 5324, 17, 4848, 9222, 92, 4449, 10593, 473, 366, 1200, 298, 18, 78, 1561, 81, 878, 36, 8236, 18, 3341, 473, 225, 1736, 203, 24, 473, 1381, 2313, 473, 20168, 473, 721, 25925, 473, 2468, 4630, 18, 9222, 27, 18, 8148, 9599, 92, 8749, 27, 473, 284, 580, 421, 71, 1168, 36, 8236, 18, 832, 473, 26180, 1736, 203, 25, 473, 1381, 2643, 473, 9259, 473, 20138, 29896, 473, 374, 5540, 3103, 5558, 26, 25652, 473, 5043, 1072, 265, 36, 8236, 18, 3341, 473, 225, 1736, 203, 26, 473, 1381, 8749, 473, 576, 6028, 473, 302, 842, 265, 736, 473, 261, 29, 9803, 13, 23, 3437, 17, 2643, 5520, 92, 11290, 4848, 28, 473, 12519, 304, 89, 7301, 36, 8236, 18, 2758, 473, 26180, 1736, 203, 27, 473, 1381, 4313, 473, 5342, 473, 2811, 911, 473, 374, 4313, 18, 4313, 28, 18, 4700, 2947, 473, 1619, 81, 773, 8942, 36, 8236, 18, 3341, 473, 225, 1736, 203, 28, 473, 1666, 3707, 473, 5045, 28, 473, 415, 91, 878, 473, 890, 5482, 18, 28, 4449, 18, 5026, 6162, 92, 5908, 3600, 473, 314, 16243, 36, 8236, 18, 832, 473, 225, 1736, 203, 29, 473, 2371, 2138, 473, 576, 6028, 473, 279, 298, 79, 473, 890, 10689, 18, 4763, 22, 18, 4033, 8643, 473, 268, 21938, 18, 3084, 87, 36, 8236, 18, 832, 473, 225, 1736, 203, 2163, 473, 2371, 3461, 473, 576, 5082, 473, 1261, 292, 25925, 473, 261, 25, 3461, 13, 26, 6162, 17, 3437, 2643, 92, 8749, 12936, 473, 366, 1035, 1072, 18, 537, 379, 36, 8236, 18, 3341, 473, 225, 1736, 203, 2499, 473, 2371, 11180, 473, 30338, 473, 353, 69, 1155, 76, 473, 890, 9462, 18, 4033, 28, 18, 23, 27284, 473, 302, 1100, 30678, 6840, 36, 8236, 18, 2758, 473, 225, 1736, 203, 2138, 473, 1725, 4366, 473, 890, 10261, 473, 425, 844, 354, 381, 473, 17107, 2643, 9349, 3707, 29, 5908, 473, 314, 410, 18, 78, 16699, 2387, 36, 8236, 18, 3341, 473, 225, 1736, 203, 3437, 473, 2468, 10321, 473, 4200, 27, 473, 276, 329, 86, 1200, 473, 1666, 3462, 17, 10689, 27, 17, 25, 6675, 27, 473, 3153, 343, 13138, 88, 36, 8236, 18, 3341, 473, 225, 1736, 203, 3461, 473, 2468, 10689, 473, 3786, 473, 341, 2486, 473, 397, 8749, 12, 25, 13, 5877, 6669, 2947, 3462, 5026, 473, 276, 428, 267, 18, 8450, 24214, 36, 8236, 18, 3341, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 3073, 414, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3073, 264, 67, 350, 473, 1758, 67, 350, 473, 6666, 67, 529, 473, 6666, 67, 10540, 473, 6666, 67, 3652, 67, 2867, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4711, 23, 473, 2593, 24, 473, 699, 2219, 6582, 473, 1666, 1105, 18, 7616, 25, 18, 3657, 5520, 473, 417, 303, 75, 9795, 82, 36, 8236, 18, 832, 473, 225, 1736, 203, 21, 473, 576, 2499, 473, 2593, 24, 473, 487, 76, 30678, 473, 1725, 11180, 17, 25, 5718, 17, 5482, 10321, 473, 675, 334, 265, 7950, 36, 8236, 18, 2758, 473, 225, 1736, 203, 22, 473, 890, 3437, 473, 16977, 473, 320, 1187, 473, 404, 17, 8778, 22, 17, 6260, 22, 17, 6028, 7140, 92, 22, 3672, 11149, 473, 284, 21938, 18, 9815, 355, 15314, 36, 8236, 18, 2758, 473, 225, 1736, 203, 23, 473, 890, 9803, 473, 20168, 473, 3385, 1077, 473, 16314, 21607, 7414, 5540, 8285, 473, 341, 9699, 22888, 18, 78, 22223, 36, 8236, 18, 3341, 473, 225, 1736, 203, 24, 473, 12360, 473, 4200, 27, 473, 699, 28662, 93, 69, 473, 1059, 9060, 18, 8642, 22, 18, 26, 1105, 29, 92, 24, 31899, 473, 4945, 343, 303, 329, 264, 36, 8236, 18, 3341, 473, 225, 1736, 203, 25, 473, 890, 6669, 473, 9259, 473, 293, 402, 1917, 473, 2468, 6260, 18, 27, 6260, 18, 8778, 3461, 473, 927, 352, 330, 323, 3028, 36, 8236, 18, 2758, 473, 225, 1736, 203, 26, 473, 890, 7235, 473, 20217, 473, 433, 1100, 1385, 473, 2371, 11149, 17, 25652, 17, 713, 9599, 473, 9787, 93, 5482, 36, 8236, 18, 2758, 473, 225, 1736, 203, 27, 473, 1059, 3600, 473, 20168, 473, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 3652, 67, 2867, 473, 1758, 67, 350, 473, 6666, 67, 529, 1736, 203, 64, 13138, 5345, 203, 20, 473, 471, 3565, 5026, 36, 8236, 18, 2758, 473, 890, 3461, 473, 30356, 25439, 1736, 203, 21, 473, 276, 428, 267, 18, 8450, 24214, 36, 8236, 18, 3341, 473, 3786, 473, 341, 2486, 1736, 203, 22, 473, 462, 4581, 2163, 36, 8236, 18, 832, 473, 6580, 22, 473, 525, 83, 1072, 1385, 1736, 203, 23, 473, 1619, 81, 773, 8942, 36, 8236, 18, 3341, 473, 5342, 473, 2811, 911, 1736, 203, 24, 473, 927, 352, 330, 323, 3028, 36, 8236, 18, 2758, 473, 9259, 473, 293, 402, 1917, 1736, 203, 25, 473, 276, 601, 7556, 15304, 36, 8236, 18, 832, 473, 890, 5608, 473, 13806, 566, 1857, 1736, 203, 26, 473, 14471, 81, 899, 18, 7373, 736, 83, 36, 8236, 18, 832, 473, 20217, 473, 284, 583, 94, 1736, 203, 27, 473, 302, 287, 1917, 5877, 36, 8236, 18, 832, 473, 6580, 29, 473, 16260, 816, 1736, 203, 28, 473, 302, 1100, 30678, 6840, 36, 8236, 18, 2758, 473, 30338, 473, 353, 69, 1155, 76, 1736, 203, 29, 473, 5043, 1072, 265, 36, 8236, 18, 3341, 473, 9259, 473, 20138, 29896, 1736, 203, 2163, 473, 284, 21938, 18, 9815, 355, 15314, 36, 8236, 18, 2758, 473, 16977, 473, 320, 1187, 1736, 203, 2499, 473, 284, 580, 421, 71, 1168, 36, 8236, 18, 832, 473, 20168, 473, 721, 25925, 1736, 203, 2138, 473, 314, 410, 18, 78, 16699, 2387, 36, 8236, 18, 3341, 473, 890, 10261, 473, 425, 844, 354, 381, 1736, 203, 3437, 473, 314, 16243, 36, 8236, 18, 832, 473, 5045, 28, 473, 415, 91, 878, 1736, 203, 3461, 473, 366, 6073, 305, 275, 31317, 36, 8236, 18, 832, 473, 5045, 28, 473, 302, 297, 2779, 69, 1736, 203, 3600, 473, 366, 1035, 1072, 18, 537, 379, 36, 8236, 18, 3341, 473, 576, 5082, 473, 1261, 292, 25925, 1736, 203, 2313, 473, 366, 1200, 298, 18, 78, 1561, 81, 878, 36, 8236, 18, 3341, 473, 6580, 29, 473, 302, 814, 80, 1736, 203, 4033, 473, 366, 1100, 816, 18, 3353, 376, 947, 287, 36, 8236, 18, 2758, 473, 4711, 473, 12519, 304, 89, 1736, 203, 2643, 473, 277, 464, 3565, 36, 8236, 18, 832, 473, 890, 5608, 473, 1924, 5836, 1736, 203, 3657, 473, 525, 275, 18538, 586, 11861, 36, 8236, 18, 832, 473, 4200, 27, 473, 1570, 267, 402, 1736, 203, 3462, 473, 525, 264, 323, 18, 30250, 2586, 36, 8236, 18, 832, 473, 576, 5292, 473, 17895, 1673, 1736, 203, 5340, 473, 525, 83, 292, 3247, 36, 8236, 18, 832, 473, 2593, 24, 473, 21282, 29896, 1736, 203, 3787, 473, 525, 22223, 816, 5324, 36, 8236, 18, 832, 473, 24645, 473, 22572, 3036, 83, 1736, 203, 4366, 473, 12519, 304, 89, 7301, 36, 8236, 18, 2758, 473, 576, 6028, 473, 302, 842, 265, 736, 1736, 203, 3247, 473, 417, 1165, 275, 6675, 36, 8236, 18, 832, 473, 576, 6028, 473, 7348, 1736, 203, 2947, 473, 417, 303, 75, 9795, 82, 36, 8236, 18, 832, 473, 2593, 24, 473, 699, 2219, 6582, 1736, 203, 5558, 473, 3399, 3797, 1812, 18, 87, 9293, 1518, 36, 8236, 18, 2758, 473, 5342, 473, 415, 93, 307, 1736, 203, 5324, 473, 3153, 343, 13138, 88, 36, 8236, 18, 3341, 473, 4200, 27, 473, 276, 329, 86, 1200, 1736, 203, 6030, 473, 1529, 373, 36, 8236, 18, 3341, 473, 20168, 473, 14662, 275, 1736, 203, 5540, 473, 320, 1025, 1155, 18, 499, 452, 36, 8236, 18, 2758, 473, 20168, 473, 741, 1362, 1736, 203, 5082, 473, 675, 334, 265, 7950, 36, 8236, 18, 2758, 473, 2593, 24, 473, 487, 76, 30678, 1736, 203, 6938, 473, 268, 21938, 18, 3084, 87, 36, 8236, 18, 832, 473, 576, 6028, 473, 279, 298, 79, 1736, 203, 1578, 473, 9787, 93, 5482, 36, 8236, 18, 2758, 473, 20217, 473, 433, 1100, 1385, 1736, 203, 3707, 473, 4945, 343, 303, 329, 264, 36, 8236, 18, 3341, 473, 4200, 27, 473, 699, 28662, 93, 69, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 11560, 5846, 67, 350, 3631, 268, 22, 18, 11560, 5846, 67, 350, 628, 29385, 487, 268, 21, 1233, 3017, 67, 11560, 4287, 487, 268, 22, 603, 268, 21, 18, 11560, 5846, 67, 350, 273, 268, 22, 18, 11560, 5846, 67, 350, 1625, 3017, 67, 350, 1545, 1666, 578, 23158, 67, 892, 67, 723, 480, 818, 372, 301, 578, 23158, 67, 723, 67, 710, 273, 7324, 578, 3017, 67, 11560, 5846, 67, 1132, 273, 16212, 471, 1308, 67, 11560, 5846, 67, 6395, 480, 6555, 411, 2121, 67, 529, 34, 294, 29385, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23158, 67, 350, 473, 23158, 67, 723, 67, 710, 473, 23158, 67, 892, 67, 723, 473, 23158, 67, 529, 473, 1308, 67, 11560, 5846, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 7324, 473, 818, 372, 301, 473, 11816, 473, 225, 1736, 203, 21, 473, 576, 473, 7324, 473, 302, 355, 280, 495, 407, 473, 4797, 473, 225, 1736, 203, 22, 473, 890, 473, 293, 2336, 473, 849, 473, 22975, 473, 225, 1736, 203, 23, 473, 1059, 473, 7324, 473, 2059, 473, 12811, 473, 225, 1736, 203, 24, 473, 1381, 473, 293, 2336, 473, 1646, 4619, 473, 12811, 473, 225, 1736, 203, 25, 473, 1666, 473, 293, 2336, 473, 719, 77, 473, 22975, 473, 225, 1736, 203, 26, 473, 2371, 473, 7324, 473, 3393, 473, 27367, 473, 225, 1736, 203, 27, 473, 1725, 473, 7324, 473, 302, 355, 3485, 473, 27367, 473, 225, 1736, 203, 28, 473, 2468, 473, 7324, 473, 719, 301, 473, 27367, 473, 225, 1736, 203, 29, 473, 1728, 473, 7324, 473, 20631, 305, 473, 4797, 473, 225, 1736, 203, 2163, 473, 4648, 473, 293, 2336, 473, 622, 473, 4797, 473, 225, 1736, 203, 2499, 473, 2593, 473, 7324, 473, 9997, 301, 473, 555, 473, 225, 1736, 203, 2138, 473, 5958, 473, 293, 2336, 473, 12629, 24235, 1155, 473, 11816, 473, 225, 1736, 203, 3437, 473, 5045, 473, 293, 2336, 473, 3166, 270, 473, 11816, 473, 225, 1736, 203, 3461, 473, 4711, 473, 7324, 473, 5853, 822, 473, 11816, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 3017, 67, 11560, 4287, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3017, 67, 350, 473, 23158, 67, 350, 473, 3017, 67, 11560, 5846, 67, 1132, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5958, 473, 5958, 473, 4587, 1736, 203, 21, 473, 4648, 473, 576, 473, 4587, 1736, 203, 22, 473, 1381, 473, 4711, 473, 4587, 1736, 203, 23, 473, 404, 473, 5958, 473, 4587, 1736, 203, 24, 473, 2371, 473, 2593, 473, 4587, 1736, 203, 25, 473, 4648, 473, 1666, 473, 4587, 1736, 203, 26, 473, 2371, 473, 576, 473, 16212, 1736, 203, 27, 473, 2593, 473, 1728, 473, 16212, 1736, 203, 28, 473, 1725, 473, 4648, 473, 3551, 1736, 203, 29, 473, 5045, 473, 1059, 473, 16212, 1736, 203, 2163, 473, 4648, 473, 890, 473, 16212, 1736, 203, 2499, 473, 1666, 473, 4711, 473, 3551, 1736, 203, 2138, 473, 4648, 473, 890, 473, 3551, 1736, 203, 3437, 473, 1666, 473, 1728, 473, 3551, 1736, 203, 3461, 473, 2593, 473, 576, 473, 3551, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 11560, 5846, 67, 350, 13, 473, 23158, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 508, 628, 3298, 1625, 2117, 480, 23670, 601, 715, 82, 16, 12837, 471, 508, 480, 462, 335, 346, 355, 464, 8632, 1888, 578, 3286, 67, 25304, 273, 4044, 21, 18, 20, 7812, 2027, 508, 628, 17996, 1625, 508, 480, 7864, 76, 1897, 1807, 5050, 7507, 434, 326, 314, 1897, 471, 667, 480, 9986, 19, 4521, 578, 17996, 67, 350, 273, 1666, 471, 3298, 67, 350, 480, 2371, 411, 2121, 67, 529, 34, 294, 3298, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3298, 67, 350, 473, 508, 473, 2117, 473, 695, 1776, 473, 3286, 67, 25304, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3656, 927, 373, 8632, 1888, 473, 3512, 13848, 16, 3474, 473, 16146, 3784, 18, 20, 473, 23673, 27, 18, 20, 1736, 203, 21, 473, 576, 473, 462, 335, 346, 355, 464, 8632, 1888, 473, 525, 355, 6213, 16, 14254, 473, 18821, 3784, 18, 20, 473, 4044, 21, 18, 20, 1736, 203, 22, 473, 890, 473, 302, 297, 2456, 1917, 17996, 1888, 473, 302, 297, 2456, 1917, 16, 888, 473, 13746, 3784, 18, 20, 473, 5342, 3361, 18, 20, 1736, 203, 23, 473, 1059, 473, 2548, 1917, 69, 29553, 8632, 1888, 473, 2548, 1917, 69, 506, 497, 16, 1183, 473, 2872, 26021, 18, 20, 473, 5342, 6162, 18, 20, 1736, 203, 24, 473, 1381, 473, 13995, 395, 684, 17, 9197, 26223, 8632, 1888, 473, 13995, 395, 684, 16, 1183, 473, 15892, 3784, 18, 20, 473, 23673, 25, 18, 20, 1736, 203, 25, 473, 1666, 473, 417, 634, 345, 8632, 1888, 473, 417, 634, 345, 12797, 16, 11654, 473, 1725, 2313, 11035, 18, 20, 473, 4044, 21, 18, 20, 1736, 203, 26, 473, 2371, 473, 312, 485, 2679, 90, 14120, 8632, 1888, 473, 10911, 75, 359, 528, 16, 14162, 473, 15892, 3784, 18, 20, 473, 5342, 9462, 18, 20, 1736, 203, 27, 473, 1725, 473, 312, 1354, 360, 304, 29553, 8632, 1888, 473, 23670, 601, 715, 82, 16, 12837, 473, 5958, 27, 3247, 23, 18, 20, 473, 5342, 9470, 18, 20, 1736, 203, 28, 473, 2468, 473, 1844, 83, 275, 697, 29553, 17996, 1888, 473, 1712, 1434, 5349, 16, 10562, 473, 2371, 9470, 2138, 18, 20, 473, 5342, 1105, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 17996, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17996, 67, 350, 473, 508, 473, 667, 473, 1509, 473, 3298, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 2478, 92, 4248, 622, 2548, 1917, 69, 473, 9986, 19, 4521, 473, 525, 304, 24335, 10659, 525, 304, 24335, 12732, 473, 404, 1736, 203, 21, 473, 576, 473, 17527, 1017, 83, 16225, 293, 1932, 434, 12837, 26223, 473, 9986, 19, 4521, 473, 312, 991, 12899, 473, 576, 1736, 203, 22, 473, 890, 473, 312, 338, 10764, 12797, 16927, 473, 9986, 19, 4521, 473, 513, 86, 330, 5342, 473, 576, 1736, 203, 23, 473, 1059, 473, 23904, 343, 4073, 264, 310, 16927, 622, 16831, 473, 9879, 473, 513, 86, 330, 12732, 473, 1059, 1736, 203, 24, 473, 1381, 473, 436, 3592, 379, 18, 832, 16927, 473, 9986, 19, 4521, 473, 2026, 8043, 473, 1381, 1736, 203, 25, 473, 1666, 473, 328, 494, 23486, 9879, 28937, 16927, 473, 9879, 473, 2026, 10659, 473, 1666, 1736, 203, 26, 473, 2371, 473, 7864, 76, 1897, 1807, 5050, 7507, 434, 326, 314, 1897, 473, 9986, 19, 4521, 473, 525, 7556, 2371, 473, 2371, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 508, 1736, 203, 64, 13138, 5345, 203, 20, 473, 3656, 927, 373, 8632, 1888, 1736, 203, 21, 473, 23904, 343, 4073, 264, 310, 16927, 622, 16831, 1736, 203, 22, 473, 462, 335, 346, 355, 464, 8632, 1888, 1736, 203, 23, 473, 302, 297, 2456, 1917, 17996, 1888, 1736, 203, 24, 473, 2548, 1917, 69, 29553, 8632, 1888, 1736, 203, 25, 473, 13995, 395, 684, 17, 9197, 26223, 8632, 1888, 1736, 203, 26, 473, 417, 634, 345, 8632, 1888, 1736, 203, 27, 473, 328, 494, 23486, 9879, 28937, 16927, 1736, 203, 28, 473, 312, 485, 2679, 90, 14120, 8632, 1888, 1736, 203, 29, 473, 1844, 83, 275, 697, 29553, 17996, 1888, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 884, 20910, 67, 350, 16, 7291, 67, 350, 628, 27464, 1787, 67, 2767, 30321, 1625, 2873, 1648, 374, 578, 5927, 67, 350, 273, 23904, 471, 2393, 273, 374, 471, 14543, 411, 374, 471, 1427, 411, 374, 471, 15407, 411, 404, 578, 3286, 1545, 4044, 21, 471, 699, 411, 374, 471, 1645, 273, 374, 9136, 2027, 884, 20910, 67, 350, 16, 7291, 67, 350, 628, 12814, 814, 1625, 12814, 814, 1648, 1059, 3600, 3784, 411, 2121, 67, 529, 34, 294, 27464, 1787, 67, 2767, 30321, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 3643, 473, 7291, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 314, 473, 1223, 473, 436, 473, 366, 473, 1645, 473, 14543, 473, 15407, 473, 7138, 77, 473, 2393, 473, 2873, 473, 7129, 473, 1427, 473, 9834, 70, 473, 366, 17152, 473, 699, 473, 9033, 473, 314, 67, 350, 84, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 5193, 473, 4945, 473, 506, 4169, 70, 89, 1611, 473, 15308, 24, 473, 12391, 473, 404, 473, 576, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 6549, 5193, 473, 4945, 473, 324, 6012, 1094, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 1728, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 6549, 5193, 473, 4945, 473, 5001, 387, 2544, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 1728, 473, 374, 473, 890, 473, 404, 473, 374, 473, 374, 473, 374, 473, 404, 473, 225, 473, 374, 473, 890, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 23, 473, 6549, 5193, 473, 4945, 473, 364, 334, 869, 1611, 473, 15308, 24, 473, 12391, 473, 404, 473, 890, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 6549, 5193, 473, 4945, 473, 417, 1340, 74, 278, 77, 1611, 473, 15308, 24, 473, 12391, 473, 576, 473, 1381, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 1059, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 6549, 5193, 473, 4945, 473, 417, 275, 14891, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 2371, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 576, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 26, 473, 6549, 5193, 473, 4945, 473, 290, 10558, 504, 69, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 1728, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 27, 473, 6549, 5193, 473, 4945, 473, 578, 86, 2414, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 2468, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 28, 473, 6549, 5193, 473, 4945, 473, 283, 7146, 343, 1611, 473, 15308, 24, 473, 12391, 473, 576, 473, 1381, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 29, 473, 6549, 5193, 473, 4945, 473, 721, 12000, 343, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 2468, 473, 404, 473, 890, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2163, 473, 6549, 5193, 473, 4945, 473, 268, 3800, 2414, 1611, 473, 15308, 24, 473, 12391, 473, 576, 473, 1381, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2499, 473, 6549, 5193, 473, 4945, 473, 5926, 303, 830, 1611, 473, 450, 473, 7741, 473, 890, 473, 1728, 473, 576, 473, 404, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 225, 473, 404, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2138, 473, 6549, 5193, 473, 4945, 473, 5545, 18538, 78, 73, 1611, 473, 450, 473, 7741, 473, 890, 473, 2468, 473, 890, 473, 1059, 473, 374, 473, 404, 473, 404, 473, 576, 473, 374, 473, 225, 473, 374, 473, 890, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 3437, 473, 6549, 5193, 473, 4945, 473, 10247, 266, 12333, 3103, 473, 450, 473, 7741, 473, 890, 473, 2468, 473, 890, 473, 1059, 473, 576, 473, 374, 473, 374, 473, 374, 473, 404, 473, 225, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 3461, 473, 6549, 5193, 473, 4945, 473, 314, 737, 495, 69, 1611, 473, 450, 473, 7741, 473, 890, 473, 2468, 473, 890, 473, 1059, 473, 576, 473, 374, 473, 374, 473, 576, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 3600, 473, 6549, 5193, 473, 4945, 473, 366, 1465, 8774, 1611, 473, 450, 473, 7741, 473, 890, 473, 1725, 473, 1381, 473, 576, 473, 374, 473, 374, 473, 374, 473, 404, 473, 576, 473, 225, 473, 890, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2313, 473, 6549, 5193, 473, 4945, 473, 9482, 8082, 297, 1611, 473, 450, 473, 7741, 473, 890, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 473, 1223, 4819, 78, 73, 1611, 1736, 203, 21, 473, 524, 473, 524, 72, 2764, 77, 1611, 1736, 203, 22, 473, 524, 473, 279, 4149, 20789, 3103, 1736, 203, 23, 473, 524, 473, 524, 362, 345, 69, 3103, 1736, 203, 24, 473, 524, 473, 2125, 297, 12954, 1611, 1736, 203, 25, 473, 524, 473, 2125, 297, 280, 89, 3103, 1736, 203, 26, 473, 524, 473, 471, 264, 2848, 1611, 1736, 203, 27, 473, 524, 473, 471, 264, 2848, 3103, 1736, 203, 28, 473, 524, 473, 471, 264, 2848, 4630, 1736, 203, 29, 473, 524, 473, 471, 264, 2848, 3028, 1736, 203, 2163, 473, 524, 473, 471, 264, 15833, 1611, 1736, 203, 2499, 473, 524, 473, 471, 267, 303, 1611, 1736, 203, 2138, 473, 524, 473, 471, 8653, 292, 1611, 1736, 203, 3437, 473, 524, 473, 23563, 689, 83, 1611, 1736, 203, 3461, 473, 524, 473, 419, 3800, 2848, 1611, 1736, 203, 3600, 473, 524, 473, 225, 4806, 4491, 1611, 1736, 203, 2313, 473, 524, 473, 1712, 330, 69, 287, 1611, 1736, 203, 4033, 473, 524, 473, 26179, 287, 378, 73, 1611, 1736, 203, 2643, 473, 524, 473, 26179, 3215, 264, 1611, 1736, 203, 3657, 473, 524, 473, 26179, 3215, 91, 77, 1611, 1736, 203, 3462, 473, 524, 473, 9846, 18639, 5353, 1611, 1736, 203, 5340, 473, 524, 473, 324, 6388, 2896, 1611, 1736, 203, 3787, 473, 524, 473, 324, 287, 70, 669, 1611, 1736, 203, 4366, 473, 524, 473, 324, 287, 765, 83, 1611, 1736, 203, 3247, 473, 524, 473, 324, 287, 617, 3197, 1611, 1736, 203, 2947, 473, 524, 473, 4653, 74, 8302, 83, 3103, 1736, 203, 5558, 473, 524, 473, 4653, 266, 2540, 3103, 1736, 203, 5324, 473, 524, 473, 324, 485, 80, 12333, 1611, 1736, 203, 6030, 473, 524, 473, 324, 485, 21319, 3103, 1736, 203, 5540, 473, 524, 473, 324, 5854, 8302, 83, 3103, 1736, 203, 5082, 473, 524, 473, 506, 363, 91, 30952, 1611, 1736, 203, 6938, 473, 524, 473, 324, 1165, 323, 1611, 1736, 203, 1578, 473, 524, 473, 3952, 298, 287, 1611, 1736, 203, 3707, 473, 524, 473, 324, 1165, 908, 3103, 1736, 203, 5026, 473, 524, 473, 324, 1165, 76, 2540, 1611, 1736, 203, 4763, 473, 524, 473, 324, 1165, 335, 80, 1611, 1736, 203, 5718, 473, 524, 473, 3952, 313, 5353, 1611, 1736, 203, 6418, 473, 524, 473, 324, 275, 18638, 78, 89, 1611, 1736, 203, 7414, 473, 524, 473, 324, 275, 78, 26223, 1611, 1736, 203, 5520, 473, 524, 473, 324, 5764, 8302, 83, 1611, 1736, 203, 7132, 473, 524, 473, 324, 275, 94, 11250, 1611, 1736, 203, 9803, 473, 524, 473, 27965, 275, 78, 89, 1611, 1736, 203, 9452, 473, 524, 473, 324, 18639, 1264, 69, 1611, 1736, 203, 8942, 473, 524, 473, 27965, 303, 908, 1611, 1736, 203, 6334, 473, 524, 473, 324, 2779, 7358, 89, 1611, 1736, 203, 7950, 473, 524, 473, 7721, 70, 89, 3103, 1736, 203, 8749, 473, 524, 473, 2811, 581, 26881, 1611, 1736, 203, 9462, 473, 524, 473, 7052, 11821, 3103, 1736, 203, 8875, 473, 524, 473, 24706, 522, 78, 73, 1611, 1736, 203, 7616, 473, 524, 473, 324, 821, 351, 77, 1611, 1736, 203, 3361, 473, 524, 473, 800, 73, 7256, 2848, 1611, 1736, 203, 10593, 473, 524, 473, 324, 265, 323, 78, 73, 1611, 1736, 203, 9401, 473, 524, 473, 324, 265, 330, 1075, 1611, 1736, 203, 8643, 473, 524, 473, 324, 280, 323, 8774, 1611, 1736, 203, 6564, 473, 524, 473, 324, 517, 381, 77, 1611, 1736, 203, 2539, 473, 524, 473, 23904, 80, 546, 1611, 1736, 203, 4313, 473, 524, 473, 16430, 2180, 343, 1611, 1736, 203, 10321, 473, 524, 473, 16430, 5761, 9197, 1611, 1736, 203, 8204, 473, 524, 473, 324, 2458, 75, 2414, 1611, 1736, 203, 6162, 473, 524, 473, 5186, 970, 9197, 3103, 1736, 203, 4848, 473, 524, 473, 5186, 2273, 8653, 1611, 1736, 203, 9498, 473, 524, 473, 324, 455, 80, 3353, 1611, 1736, 203, 8898, 473, 524, 473, 5186, 724, 266, 1611, 1736, 203, 4449, 473, 524, 473, 23670, 601, 869, 1611, 1736, 203, 1105, 473, 524, 473, 324, 6973, 291, 71, 1611, 1736, 203, 9222, 473, 524, 473, 324, 26253, 12333, 4630, 1736, 203, 6028, 473, 524, 473, 324, 26253, 78, 73, 1611, 1736, 203, 9599, 473, 524, 473, 324, 2648, 76, 830, 1611, 1736, 203, 9470, 473, 524, 473, 324, 9031, 6423, 77, 1611, 1736, 203, 8148, 473, 524, 473, 324, 344, 7256, 2540, 1611, 1736, 203, 7301, 473, 524, 473, 1681, 517, 69, 1611, 1736, 203, 11212, 473, 524, 473, 25666, 76, 4644, 12333, 1611, 1736, 203, 9060, 473, 524, 473, 324, 20628, 1786, 1611, 1736, 203, 9036, 473, 524, 473, 324, 718, 264, 77, 1611, 1736, 203, 5608, 473, 524, 473, 18305, 30168, 3103, 1736, 203, 5877, 473, 524, 473, 324, 295, 303, 78, 73, 1611, 1736, 203, 6669, 473, 524, 473, 324, 1218, 15008, 1611, 1736, 203, 4700, 473, 524, 473, 324, 1218, 354, 1611, 1736, 203, 8285, 473, 524, 473, 1496, 264, 3069, 1611, 1736, 203, 7235, 473, 524, 473, 1496, 298, 13266, 4630, 1736, 203, 3672, 473, 524, 473, 1496, 749, 83, 1611, 1736, 203, 11861, 473, 524, 473, 635, 86, 4644, 264, 1611, 1736, 203, 11149, 473, 524, 473, 276, 378, 266, 345, 1611, 1736, 203, 10261, 473, 524, 473, 276, 378, 266, 30952, 3103, 1736, 203, 5193, 473, 524, 473, 3474, 77, 520, 77, 1611, 1736, 203, 7140, 473, 524, 473, 745, 69, 287, 1611, 1736, 203, 5292, 473, 524, 473, 5861, 1035, 77, 1611, 1736, 203, 11035, 473, 524, 473, 848, 270, 91, 77, 1611, 1736, 203, 5482, 473, 524, 473, 15350, 1077, 69, 1611, 1736, 203, 6675, 473, 524, 473, 848, 280, 83, 1611, 1736, 203, 9349, 473, 524, 473, 848, 307, 30952, 1611, 1736, 203, 12416, 473, 524, 473, 848, 88, 11501, 83, 1611, 1736, 203, 9975, 473, 524, 473, 7035, 73, 30952, 1611, 1736, 203, 11180, 473, 524, 473, 276, 961, 4491, 1611, 1736, 203, 11290, 473, 524, 473, 4812, 13888, 2 ] ]

[ [ 1, 4025, 10782, 67, 12890, 67, 350, 628, 18110, 67, 12401, 475, 1625, 18110, 67, 350, 1648, 1666, 578, 1308, 67, 6395, 480, 6555, 578, 18110, 67, 12401, 475, 67, 350, 480, 1728, 9136, 2027, 10782, 67, 12890, 67, 350, 628, 10782, 67, 12890, 87, 1625, 10782, 67, 7687, 67, 529, 480, 324, 497, 292, 280, 578, 10782, 67, 7687, 67, 3384, 480, 14471, 1857, 578, 1308, 67, 6395, 480, 6555, 578, 443, 15750, 67, 350, 1648, 5045, 411, 2121, 67, 529, 34, 294, 18110, 67, 12401, 475, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18110, 67, 12401, 475, 67, 350, 473, 10782, 67, 12890, 67, 350, 473, 6111, 7654, 67, 350, 473, 18110, 67, 350, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 2593, 473, 5958, 473, 5045, 473, 225, 1736, 203, 21, 473, 576, 473, 1059, 473, 576, 473, 2468, 473, 225, 1736, 203, 22, 473, 890, 473, 1728, 473, 576, 473, 2371, 473, 225, 1736, 203, 23, 473, 1059, 473, 1059, 473, 4711, 473, 2468, 473, 225, 1736, 203, 24, 473, 1381, 473, 1381, 473, 404, 473, 5045, 473, 225, 1736, 203, 25, 473, 1666, 473, 890, 473, 5958, 473, 404, 473, 225, 1736, 203, 26, 473, 2371, 473, 2468, 473, 2468, 473, 1059, 473, 225, 1736, 203, 27, 473, 1725, 473, 1725, 473, 1381, 473, 2593, 473, 225, 1736, 203, 28, 473, 2468, 473, 2593, 473, 1666, 473, 2371, 473, 225, 1736, 203, 29, 473, 1728, 473, 4648, 473, 576, 473, 2371, 473, 225, 1736, 203, 2163, 473, 4648, 473, 1728, 473, 5958, 473, 1059, 473, 225, 1736, 203, 2499, 473, 2593, 473, 2468, 473, 576, 473, 1381, 473, 225, 1736, 203, 2138, 473, 5958, 473, 576, 473, 2593, 473, 1666, 473, 225, 1736, 203, 3437, 473, 5045, 473, 2468, 473, 4711, 473, 1666, 473, 225, 1736, 203, 3461, 473, 4711, 473, 576, 473, 1059, 473, 1666, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 10782, 67, 12890, 87, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 10782, 67, 12890, 67, 350, 473, 443, 15750, 67, 350, 473, 10782, 67, 7687, 67, 529, 473, 10782, 67, 7687, 67, 3384, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 5958, 473, 4171, 473, 6637, 15004, 83, 473, 225, 1736, 203, 21, 473, 576, 473, 576, 473, 4171, 473, 14471, 1857, 473, 225, 1736, 203, 22, 473, 890, 473, 5958, 473, 4171, 473, 3166, 270, 473, 225, 1736, 203, 23, 473, 1059, 473, 1725, 473, 324, 497, 292, 280, 473, 640, 323, 473, 225, 1736, 203, 24, 473, 1381, 473, 4648, 473, 4171, 473, 3397, 14463, 291, 473, 225, 1736, 203, 25, 473, 1666, 473, 1725, 473, 324, 497, 292, 280, 473, 279, 457, 29401, 473, 225, 1736, 203, 26, 473, 2371, 473, 5045, 473, 324, 497, 292, 280, 473, 6287, 18883, 473, 225, 1736, 203, 27, 473, 1725, 473, 4711, 473, 4171, 473, 6897, 379, 473, 225, 1736, 203, 28, 473, 2468, 473, 890, 473, 324, 497, 292, 280, 473, 6626, 3648, 345, 473, 225, 1736, 203, 29, 473, 1728, 473, 1725, 473, 324, 497, 292, 280, 473, 2059, 473, 225, 1736, 203, 2163, 473, 4648, 473, 5045, 473, 324, 497, 292, 280, 473, 2059, 473, 225, 1736, 203, 2499, 473, 2593, 473, 1059, 473, 4171, 473, 719, 77, 473, 225, 1736, 203, 2138, 473, 5958, 473, 2371, 473, 324, 497, 292, 280, 473, 719, 301, 473, 225, 1736, 203, 3437, 473, 5045, 473, 576, 473, 1844, 72, 473, 3393, 473, 225, 1736, 203, 3461, 473, 4711, 473, 2593, 473, 1844, 72, 473, 5001, 307, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 10782, 67, 12890, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 1736, 203, 21, 473, 890, 1736, 203, 22, 473, 1059, 1736, 203, 23, 473, 1381, 1736, 203, 24, 473, 1725, 1736, 203, 25, 473, 2468, 1736, 203, 26, 473, 1728, 1736, 203, 27, 473, 2593, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 591, 7593, 67, 350, 16, 268, 22, 18, 591, 7593, 67, 350, 628, 356, 7593, 487, 268, 21, 1233, 4864, 264, 67, 267, 67, 591, 7593, 487, 268, 22, 603, 268, 21, 18, 591, 7593, 67, 350, 422, 268, 22, 18, 591, 7593, 67, 350, 1041, 635, 4864, 264, 67, 350, 7999, 356, 7593, 67, 529, 480, 4860, 576, 471, 5006, 273, 4843, 6023, 576, 411, 2121, 67, 529, 34, 294, 356, 7593, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 356, 7593, 67, 350, 473, 356, 7593, 67, 529, 473, 5006, 473, 384, 361, 5077, 67, 350, 473, 3286, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 20232, 5029, 473, 4843, 6023, 473, 404, 473, 13695, 1736, 203, 21, 473, 576, 473, 2240, 4835, 71, 931, 473, 4843, 6023, 576, 473, 576, 473, 13695, 1736, 203, 22, 473, 890, 473, 6382, 2281, 1282, 473, 24706, 329, 310, 437, 537, 473, 576, 473, 12461, 1736, 203, 23, 473, 1059, 473, 4860, 404, 473, 14812, 1690, 911, 473, 1728, 473, 13695, 1736, 203, 24, 473, 1381, 473, 4860, 404, 473, 5622, 2074, 268, 265, 750, 473, 2468, 473, 12461, 1736, 203, 25, 473, 1666, 473, 4860, 576, 473, 18285, 777, 290, 750, 473, 2371, 473, 12461, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 4864, 264, 67, 267, 67, 591, 7593, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 356, 7593, 67, 350, 473, 4864, 264, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 576, 1736, 203, 21, 473, 404, 473, 890, 1736, 203, 22, 473, 404, 473, 1381, 1736, 203, 23, 473, 576, 473, 890, 1736, 203, 24, 473, 576, 473, 1666, 1736, 203, 25, 473, 890, 473, 1381, 1736, 203, 26, 473, 1059, 473, 1059, 1736, 203, 27, 473, 1381, 473, 1666, 1736, 203, 28, 473, 1381, 473, 890, 1736, 203, 29, 473, 1666, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 356, 7593, 67, 350, 300, 21, 473, 356, 7593, 67, 350, 300, 22, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 3464, 67, 350, 13, 628, 1668, 67, 11657, 411, 2121, 67, 529, 34, 294, 1668, 67, 11657, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2442, 67, 350, 473, 1668, 67, 710, 473, 2442, 67, 6178, 473, 2442, 67, 710, 473, 2442, 67, 2649, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2593, 473, 2371, 3461, 473, 4752, 9060, 473, 16647, 473, 1839, 1736, 203, 21, 473, 4711, 473, 576, 4033, 473, 12292, 2163, 473, 5045, 473, 1839, 1736, 203, 22, 473, 5342, 473, 1666, 5877, 473, 2371, 29941, 473, 8566, 473, 1839, 1736, 203, 23, 473, 9035, 473, 1666, 5877, 473, 2468, 5193, 27, 473, 19387, 473, 1865, 1736, 203, 24, 473, 10213, 473, 1059, 9222, 473, 1725, 6564, 28, 473, 17160, 473, 1839, 1736, 203, 25, 473, 12732, 473, 1381, 6028, 473, 1666, 24171, 473, 6549, 473, 1865, 1736, 203, 26, 473, 18012, 473, 2468, 5082, 473, 15892, 5340, 473, 17066, 473, 1839, 1736, 203, 27, 473, 8063, 473, 1059, 9222, 473, 17160, 1105, 473, 31007, 473, 1839, 1736, 203, 28, 473, 22431, 473, 2468, 9498, 473, 1059, 7235, 24, 473, 13438, 473, 1865, 1736, 203, 29, 473, 15981, 473, 2468, 6675, 473, 1666, 5026, 29, 473, 11201, 473, 1839, 1736, 203, 2163, 473, 22684, 473, 1666, 5340, 473, 1381, 2539, 22, 473, 2872, 473, 1839, 1736, 203, 2499, 473, 20457, 473, 2371, 7677, 473, 576, 31779, 473, 4752, 473, 1839, 1736, 203, 2138, 473, 28308, 473, 1381, 6028, 473, 576, 4763, 24, 473, 13438, 473, 1865, 1736, 203, 3437, 473, 31007, 473, 2371, 3437, 473, 13291, 3707, 473, 26936, 473, 1865, 1736, 203, 3461, 473, 16848, 473, 1666, 5340, 473, 1725, 3672, 25, 473, 18012, 473, 1865, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 3464, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2593, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 529, 628, 23350, 3548, 487, 268, 21, 1233, 4912, 487, 268, 22, 603, 268, 21, 18, 567, 225, 273, 225, 268, 22, 18, 567, 1041, 635, 268, 21, 18, 529, 1353, 635, 1056, 24099, 3044, 1800, 404, 411, 2121, 67, 529, 34, 294, 4912, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 10911, 473, 3046, 67, 438, 350, 473, 3046, 67, 438, 473, 1705, 67, 438, 350, 473, 1705, 67, 438, 473, 524, 350, 473, 23350, 1369, 473, 6198, 76, 834, 1736, 203, 64, 13138, 5345, 203, 20, 473, 18091, 473, 31360, 20, 473, 417, 94, 473, 12899, 9222, 473, 279, 264, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 21, 473, 18012, 473, 31360, 20, 473, 417, 94, 473, 12899, 6028, 473, 487, 74, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 22, 473, 16977, 473, 12899, 8898, 473, 312, 4962, 473, 12899, 6028, 473, 487, 74, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 23, 473, 8063, 473, 31360, 20, 473, 417, 94, 473, 12899, 9470, 473, 276, 3839, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 24, 473, 20170, 473, 8063, 8285, 473, 23094, 70, 473, 12899, 9470, 473, 276, 3839, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 25, 473, 14856, 473, 31360, 20, 473, 417, 94, 473, 1059, 3103, 29, 473, 302, 3501, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 26, 473, 21193, 473, 20963, 8148, 473, 6533, 473, 1059, 3103, 29, 473, 302, 3501, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 27, 473, 12292, 473, 1666, 16874, 473, 279, 473, 1059, 3103, 29, 473, 302, 3501, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 28, 473, 17077, 473, 576, 8778, 22, 473, 417, 19016, 473, 1666, 28946, 473, 425, 3240, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 29, 473, 17495, 473, 31360, 20, 473, 417, 94, 473, 1666, 28946, 473, 425, 3240, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 2163, 473, 9934, 473, 20963, 8148, 473, 6533, 473, 12899, 3787, 473, 25295, 72, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 2499, 473, 17160, 473, 1666, 28946, 473, 425, 3240, 473, 576, 8778, 22, 473, 417, 19016, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 2138, 473, 6437, 473, 12899, 9222, 473, 279, 264, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3437, 473, 21119, 473, 12899, 6028, 473, 487, 74, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3461, 473, 18106, 473, 12899, 9470, 473, 276, 3839, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3600, 473, 15935, 473, 1059, 3103, 29, 473, 302, 3501, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 2313, 473, 22431, 473, 1666, 28946, 473, 425, 3240, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 4033, 473, 21483, 473, 12899, 8875, 473, 1675, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 2643, 473, 13850, 473, 12899, 5877, 473, 5893, 92, 473, 31360, 20, 473, 417, 94, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3657, 473, 15981, 473, 31360, 20, 473, 417, 94, 473, 12899, 8875, 473, 1675, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3462, 473, 17066, 473, 20963, 8148, 473, 6533, 473, 12899, 8875, 473, 1675, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 5340, 473, 14995, 473, 1666, 16874, 473, 279, 473, 12899, 8875, 473, 1675, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3787, 473, 4752, 473, 12899, 6028, 473, 487, 74, 473, 12899, 8898, 473, 312, 4962, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 4366, 473, 17845, 473, 1059, 3103, 29, 473, 302, 3501, 473, 20963, 8148, 473, 6533, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3247, 473, 22684, 473, 12899, 3787, 473, 25295, 72, 473, 20963, 8148, 473, 6533, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 2947, 473, 13746, 473, 12899, 8875, 473, 1675, 473, 20963, 8148, 473, 6533, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 5558, 473, 5178, 473, 12899, 5877, 473, 5893, 92, 473, 20963, 8148, 473, 6533, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 5324, 473, 15892, 473, 12899, 5877, 473, 5893, 92, 473, 12899, 9060, 473, 19807, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 6030, 473, 22342, 473, 1666, 16874, 473, 279, 473, 12899, 9060, 473, 19807, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 5540, 473, 21017, 473, 12899, 5877, 473, 5893, 92, 473, 21193, 1105, 473, 619, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 5082, 473, 23797, 473, 12899, 9470, 473, 276, 3839, 473, 8063, 8285, 473, 23094, 70, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 6938, 473, 20963, 473, 12899, 5877, 473, 5893, 92, 473, 8063, 8285, 473, 23094, 70, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 1578, 473, 16647, 473, 31360, 20, 473, 417, 94, 473, 12899, 5877, 473, 5893, 92, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 3707, 473, 26465, 473, 20963, 8148, 473, 6533, 473, 12899, 5877, 473, 5893, 92, 473, 1059, 2163, 18, 20, 473, 576, 70, 473, 6555, 1736, 203, 5026, 473, 19387, 473, 12899, 9060, 473, 19807, 473, 12899, 5877, 473, 5893, 92, 473, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 508, 1736, 203, 64, 13138, 5345, 203, 20, 473, 16826, 304, 1826, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 86, 13, 628, 14486, 310, 67, 2767, 30321, 411, 2121, 67, 529, 34, 294, 14486, 310, 67, 2767, 30321, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 3643, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 341, 473, 328, 473, 314, 473, 10763, 473, 14947, 473, 699, 83, 473, 5893, 473, 2359, 20125, 473, 366, 473, 6445, 473, 15407, 473, 7129, 473, 1427, 473, 9846, 556, 84, 473, 25120, 473, 9834, 70, 473, 6357, 473, 366, 17152, 473, 22723, 473, 324, 7944, 473, 13828, 473, 436, 473, 699, 473, 9033, 473, 314, 67, 350, 84, 1736, 203, 64, 13138, 5345, 203, 20, 473, 506, 4169, 70, 89, 1611, 473, 6549, 5193, 473, 4945, 473, 15308, 24, 473, 12391, 473, 374, 473, 404, 473, 404, 473, 404, 473, 404, 473, 374, 473, 374, 473, 6549, 473, 2468, 473, 2371, 473, 374, 473, 576, 473, 404, 473, 225, 473, 1728, 18, 25, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 2593, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 417, 1340, 74, 278, 77, 1611, 473, 6549, 5193, 473, 4945, 473, 15308, 24, 473, 12391, 473, 374, 473, 576, 473, 576, 473, 576, 473, 576, 473, 374, 473, 374, 473, 12292, 473, 1728, 473, 1666, 473, 404, 473, 890, 473, 2593, 473, 225, 473, 890, 18, 26, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 2468, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 6719, 1075, 343, 1611, 473, 6549, 5193, 473, 4945, 473, 450, 473, 7741, 473, 890, 473, 374, 473, 890, 473, 890, 473, 890, 473, 404, 473, 374, 473, 22342, 473, 4648, 473, 374, 473, 374, 473, 374, 473, 8043, 473, 225, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 890, 473, 225, 473, 225, 473, 225, 1736, 203, 23, 473, 927, 1313, 30952, 1611, 473, 404, 5482, 25, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 404, 473, 576, 473, 576, 473, 576, 473, 374, 473, 374, 473, 9934, 473, 4711, 473, 576, 473, 374, 473, 404, 473, 4711, 473, 225, 473, 404, 18, 3437, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 5045, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 312, 952, 280, 21102, 1611, 473, 404, 5482, 25, 473, 4945, 473, 462, 82, 473, 7741, 473, 890, 473, 576, 473, 1381, 473, 1381, 473, 1381, 473, 374, 473, 374, 473, 23515, 473, 12732, 473, 1725, 473, 374, 473, 1666, 473, 5342, 473, 225, 473, 576, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 11201, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 5926, 322, 1075, 1611, 473, 404, 5482, 25, 473, 4945, 473, 2020, 24, 473, 12391, 473, 404, 473, 404, 473, 890, 473, 890, 473, 890, 473, 374, 473, 374, 473, 22860, 473, 6969, 473, 2371, 473, 404, 473, 1059, 473, 2872, 473, 225, 473, 576, 18, 9452, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 6549, 473, 225, 473, 225, 473, 225, 1736, 203, 26, 473, 17382, 94, 2414, 1611, 473, 404, 5482, 25, 473, 4945, 473, 2020, 24, 473, 12391, 473, 576, 473, 576, 473, 1059, 473, 1059, 473, 1059, 473, 374, 473, 374, 473, 1725, 27, 473, 5196, 473, 576, 473, 404, 473, 2468, 473, 5045, 473, 225, 473, 374, 18, 8898, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 4200, 473, 225, 473, 225, 473, 225, 1736, 203, 27, 473, 927, 1313, 30952, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 576, 473, 576, 473, 1059, 473, 1059, 473, 890, 473, 404, 473, 374, 473, 31007, 473, 6969, 473, 2371, 473, 374, 473, 2593, 473, 9131, 473, 225, 473, 576, 18, 4630, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 4711, 473, 225, 473, 225, 473, 225, 1736, 203, 28, 473, 312, 952, 280, 21102, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 404, 473, 404, 473, 404, 473, 404, 473, 374, 473, 374, 473, 4248, 473, 5958, 473, 1666, 473, 404, 473, 576, 473, 1059, 473, 225, 473, 1666, 18, 5877, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 2593, 473, 225, 473, 225, 473, 225, 1736, 203, 29, 473, 16826, 304, 21102, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 374, 473, 404, 473, 404, 473, 374, 473, 374, 473, 374, 473, 4711, 473, 1725, 473, 1381, 473, 374, 473, 1059, 473, 1059, 473, 225, 473, 2468, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 404, 473, 1725, 473, 225, 473, 225, 473, 225, 1736, 203, 2163, 473, 903, 558, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 404, 473, 576, 473, 374, 473, 374, 473, 374, 473, 374, 473, 1666, 473, 1059, 473, 404, 473, 374, 473, 404, 473, 576, 473, 225, 473, 1059, 18, 25, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 404, 473, 890, 473, 225, 473, 225, 473, 225, 1736, 203, 2499, 473, 5926, 322, 1075, 1611, 473, 6549, 5292, 473, 4945, 473, 2020, 24, 473, 12391, 473, 576, 473, 404, 473, 890, 473, 890, 473, 890, 473, 404, 473, 374, 473, 22860, 473, 6549, 473, 2371, 473, 890, 473, 1666, 473, 2593, 473, 225, 473, 576, 18, 9452, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 5045, 473, 225, 473, 225, 473, 225, 1736, 203, 2138, 473, 17382, 94, 2414, 1611, 473, 6549, 5292, 473, 4945, 473, 2020, 24, 473, 12391, 473, 404, 473, 404, 473, 576, 473, 576, 473, 576, 473, 374, 473, 374, 473, 12292, 473, 2872, 473, 1666, 473, 374, 473, 1666, 473, 2371, 473, 225, 473, 890, 18, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 86, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 18, 24, 3437, 3657, 28784, 4313, 2787, 4630, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2572, 67, 350, 628, 19797, 376, 67, 1747, 1128, 67, 7139, 1625, 2572, 67, 350, 1545, 1666, 11861, 7812, 2027, 2572, 67, 350, 628, 4467, 1625, 2572, 67, 6395, 273, 779, 79, 411, 2121, 67, 529, 34, 294, 19797, 376, 67, 1747, 1128, 67, 7139, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 19797, 376, 67, 1747, 1128, 67, 350, 473, 2572, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6437, 6669, 473, 1381, 6030, 1736, 203, 21, 473, 6437, 6669, 473, 1666, 11861, 1736, 203, 22, 473, 1381, 30281, 473, 1381, 4366, 1736, 203, 23, 473, 1381, 30281, 473, 2468, 2539, 1736, 203, 24, 473, 5178, 6669, 473, 1381, 8942, 1736, 203, 25, 473, 5178, 6669, 473, 1666, 11861, 1736, 203, 26, 473, 5178, 6669, 473, 2468, 2539, 1736, 203, 27, 473, 15892, 4366, 473, 1381, 6030, 1736, 203, 28, 473, 1666, 7140, 22, 473, 1381, 6030, 1736, 203, 29, 473, 1666, 7140, 22, 473, 2468, 2539, 1736, 203, 2163, 473, 2371, 7677, 27, 473, 1381, 8942, 1736, 203, 2499, 473, 23421, 5540, 473, 1666, 11861, 1736, 203, 2138, 473, 1725, 6334, 29, 473, 1381, 6030, 1736, 203, 3437, 473, 1725, 8148, 28, 473, 1381, 6030, 1736, 203, 3461, 473, 1725, 8148, 28, 473, 1381, 8942, 1736, 203, 3600, 473, 1725, 8148, 28, 473, 1666, 11861, 1736, 203, 2313, 473, 2468, 4313, 21, 473, 1666, 11861, 1736, 203, 4033, 473, 14605, 3657, 473, 1666, 11861, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 4467, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2572, 67, 350, 473, 2572, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 4366, 473, 276, 2513, 1736, 203, 21, 473, 1381, 6030, 473, 779, 79, 1736, 203, 22, 473, 1381, 8942, 473, 314, 24466, 1736, 203, 23, 473, 1666, 11861, 473, 12122, 1382, 1736, 203, 24, 473, 2468, 2539, 473, 779, 79, 310, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2572, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 6030, 1736, 203, 21, 473, 1666, 11861, 1736, 203, 22, 473, 2468, 2539, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 88, 21, 18, 14240, 67, 5036, 3631, 268, 22, 18, 22602, 67, 350, 628, 1015, 5792, 487, 268, 21, 1233, 1707, 67, 22602, 487, 268, 22, 603, 268, 21, 18, 22602, 67, 350, 273, 268, 22, 18, 22602, 67, 350, 1625, 12797, 67, 5036, 273, 9131, 18, 20, 578, 12797, 67, 23555, 480, 404, 5026, 29, 5718, 18, 20, 578, 910, 372, 14153, 329, 67, 14240, 273, 324, 9795, 2219, 287, 27132, 297, 12797, 471, 1707, 67, 350, 405, 1381, 1041, 635, 910, 372, 14153, 329, 67, 14240, 7999, 12797, 67, 23555, 480, 21382, 30234, 18, 20, 578, 910, 372, 14153, 329, 67, 14240, 480, 417, 345, 295, 12797, 578, 12797, 67, 5036, 1545, 18821, 18, 20, 471, 1015, 5792, 67, 529, 480, 366, 1727, 452, 378, 361, 1015, 5792, 471, 1707, 67, 350, 1648, 404, 1353, 635, 910, 372, 14153, 329, 67, 14240, 6972, 1800, 1666, 411, 2121, 67, 529, 34, 294, 1015, 5792, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1015, 5792, 67, 350, 473, 1015, 5792, 67, 529, 473, 910, 372, 14153, 329, 67, 14240, 473, 12797, 67, 23555, 473, 12797, 67, 5036, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 622, 869, 363, 1015, 5792, 473, 622, 869, 363, 12797, 473, 2468, 8749, 3462, 18, 20, 473, 4200, 18, 20, 1736, 203, 21, 473, 576, 473, 324, 9795, 2219, 287, 27132, 297, 1015, 5792, 473, 324, 9795, 2219, 287, 27132, 297, 12797, 473, 404, 5026, 29, 5718, 18, 20, 473, 5958, 18, 20, 1736, 203, 22, 473, 890, 473, 324, 9795, 2219, 287, 12688, 1015, 5792, 473, 324, 9795, 2219, 287, 12688, 12797, 473, 15935, 3028, 7414, 18, 20, 473, 18012, 18, 20, 1736, 203, 23, 473, 1059, 473, 19822, 581, 79, 297, 1015, 5792, 473, 19822, 581, 79, 297, 12797, 473, 1725, 11180, 3672, 18, 20, 473, 4711, 18, 20, 1736, 203, 24, 473, 1381, 473, 462, 581, 91, 287, 1015, 5792, 473, 462, 581, 91, 287, 12797, 473, 404, 26612, 3247, 18, 20, 473, 1728, 18, 20, 1736, 203, 25, 473, 1666, 473, 462, 8767, 352, 1015, 5792, 473, 462, 8767, 352, 12797, 473, 576, 3657, 26261, 18, 20, 473, 2593, 18, 20, 1736, 203, 26, 473, 2371, 473, 4854, 69, 21409, 1561, 77, 417, 25842, 1015, 5792, 473, 4854, 69, 21409, 1561, 77, 417, 25842, 12797, 473, 1059, 1105, 5608, 22, 18, 20, 473, 11201, 18, 20, 1736, 203, 27, 473, 1725, 473, 11087, 291, 287, 378, 361, 1015, 5792, 473, 11087, 291, 287, 378, 361, 12797, 473, 576, 7235, 6418, 5340, 18, 20, 473, 5045, 27, 18, 20, 1736, 203, 28, 473, 2468, 473, 3058, 78, 2450, 91, 287, 69, 1015, 5792, 473, 3058, 78, 2450, 91, 287, 69, 12797, 473, 4711, 5558, 23329, 18, 20, 473, 18821, 18, 20, 1736, 203, 29, 473, 1728, 473, 3058, 78, 17048, 1015, 5792, 473, 3058, 78, 17048, 12797, 473, 3847, 7140, 2138, 18, 20, 473, 6969, 18, 20, 1736, 203, 2163, 473, 4648, 473, 366, 1727, 452, 378, 361, 1015, 5792, 473, 366, 1727, 452, 378, 361, 12797, 473, 2872, 6162, 5718, 18, 20, 473, 1728, 18, 20, 1736, 203, 2499, 473, 2593, 473, 525, 76, 539, 1015, 5792, 473, 525, 76, 539, 12797, 473, 21382, 30234, 18, 20, 473, 9131, 18, 20, 1736, 203, 2138, 473, 5958, 473, 525, 76, 292, 379, 1015, 5792, 473, 525, 76, 292, 379, 12797, 473, 8043, 3462, 9036, 18, 20, 473, 11201, 18, 20, 1736, 203, 3437, 473, 5045, 473, 417, 345, 295, 1015, 5792, 473, 417, 345, 295, 12797, 473, 890, 27879, 4033, 18, 20, 473, 6549, 18, 20, 1736, 203, 3461, 473, 4711, 473, 417, 25842, 359, 287, 1015, 5792, 473, 417, 25842, 359, 287, 12797, 473, 2872, 3361, 7414, 18, 20, 473, 8043, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1707, 67, 22602, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1707, 67, 350, 473, 1015, 5792, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4711, 1736, 203, 21, 473, 576, 473, 4711, 1736, 203, 22, 473, 890, 473, 4648, 1736, 203, 23, 473, 1059, 473, 1059, 1736, 203, 24, 473, 1381, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 14240, 67, 5036, 13, 473, 1015, 5792, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 18012, 473, 890, 1736, 203, 21, 473, 4711, 473, 1059, 1736, 203, 22, 473, 1728, 473, 4648, 1736, 203, 23, 473, 13438, 473, 4711, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 23350, 71, 5015, 67, 350, 628, 23350, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 273, 1381, 1335, 2027, 23350, 71, 5015, 67, 350, 628, 23350, 655, 67, 1826, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 1648, 576, 411, 2121, 67, 529, 34, 294, 23350, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 473, 23350, 71, 5015, 473, 2477, 473, 943, 67, 75, 3984, 67, 4865, 473, 2078, 67, 10863, 67, 5036, 473, 943, 67, 10863, 67, 15174, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 721, 4757, 816, 436, 17, 3787, 473, 9052, 12788, 13150, 335, 3838, 264, 473, 404, 16, 6418, 20, 7831, 261, 4449, 25, 417, 75, 13, 473, 1059, 10580, 11038, 131, 115, 261, 8749, 18, 22, 312, 131, 115, 13, 473, 576, 18, 26, 7831, 19, 1222, 131, 115, 261, 3461, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 21, 473, 576, 473, 324, 1165, 4200, 26, 70, 23, 525, 16354, 11455, 473, 268, 15850, 538, 3395, 1222, 12788, 13150, 335, 3838, 264, 473, 890, 16, 6976, 7831, 261, 21, 16, 7950, 21, 417, 75, 13, 473, 1725, 9060, 11038, 131, 115, 261, 11861, 18, 21, 312, 131, 115, 13, 473, 890, 18, 27, 7831, 19, 1222, 131, 115, 261, 2643, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 22, 473, 890, 473, 462, 17, 9462, 72, 462, 267, 1184, 473, 17126, 19117, 4168, 280, 13150, 335, 3838, 264, 473, 6437, 16, 3784, 7831, 261, 3787, 16, 26, 3672, 417, 75, 13, 473, 1381, 16, 26, 2539, 11038, 131, 115, 261, 25, 5558, 312, 131, 115, 13, 473, 1725, 18, 28, 7831, 19, 1222, 131, 115, 261, 8942, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 23, 473, 1059, 473, 312, 330, 12837, 17, 5558, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 17335, 16, 12483, 7831, 261, 4313, 16, 3784, 417, 75, 13, 473, 1725, 16, 7616, 25, 11038, 131, 115, 261, 27, 6675, 312, 131, 115, 13, 473, 5045, 18, 25, 7831, 19, 1222, 131, 115, 261, 11212, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 24, 473, 1381, 473, 462, 17, 8643, 73, 2240, 384, 454, 285, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 26103, 16, 12483, 7831, 261, 3707, 16, 19249, 417, 75, 13, 473, 1059, 16, 29, 713, 11038, 131, 115, 261, 24, 4848, 312, 131, 115, 13, 473, 4711, 7831, 19, 1222, 131, 115, 261, 9060, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 23350, 655, 67, 1826, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 23350, 655, 67, 350, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1666, 473, 1381, 1736, 203, 21, 473, 576, 473, 576, 473, 404, 1736, 203, 22, 473, 890, 473, 404, 473, 576, 1736, 203, 23, 473, 1059, 473, 2468, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11252, 67, 5629, 67, 710, 628, 7429, 1625, 1668, 67, 723, 67, 710, 480, 7877, 14316, 471, 11252, 67, 5629, 67, 710, 273, 731, 7812, 2027, 11252, 67, 5629, 67, 710, 628, 1278, 67, 15076, 67, 23560, 1625, 11252, 67, 5629, 67, 3384, 480, 268, 411, 2121, 67, 529, 34, 294, 7429, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1668, 67, 350, 473, 1668, 67, 2327, 67, 710, 473, 1668, 67, 723, 67, 710, 473, 11252, 67, 5629, 67, 710, 473, 16030, 67, 712, 473, 16030, 67, 2696, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 5960, 473, 7976, 473, 731, 473, 4044, 28, 17, 3028, 17, 5340, 4200, 30, 9452, 30, 2947, 473, 5342, 473, 998, 1736, 203, 21, 473, 576, 473, 2731, 473, 15181, 473, 584, 473, 5342, 5608, 17, 6260, 17, 6840, 9631, 30, 713, 30, 8749, 473, 13438, 473, 366, 1736, 203, 22, 473, 890, 473, 2731, 473, 15181, 473, 731, 473, 13695, 17, 2138, 17, 2947, 8043, 30, 3787, 30, 6334, 473, 31007, 473, 366, 1736, 203, 23, 473, 1059, 473, 2731, 473, 15181, 473, 584, 473, 5342, 9036, 17, 2499, 17, 6260, 9035, 30, 8875, 30, 8643, 473, 8958, 473, 1043, 1736, 203, 24, 473, 2371, 473, 5960, 473, 7976, 473, 699, 473, 5342, 11149, 17, 5908, 17, 5324, 5045, 30, 9401, 30, 3600, 473, 17845, 473, 341, 1736, 203, 25, 473, 1728, 473, 1879, 24334, 473, 15181, 473, 731, 473, 5342, 6669, 17, 5908, 17, 3600, 5342, 30, 3247, 30, 4033, 473, 1725, 473, 312, 1736, 203, 26, 473, 2593, 473, 1879, 24334, 473, 7877, 14316, 473, 584, 473, 23673, 26, 17, 6260, 17, 6938, 13026, 30, 10593, 30, 8204, 473, 20963, 473, 290, 1736, 203, 27, 473, 5958, 473, 5960, 473, 7976, 473, 731, 473, 12461, 17, 3028, 17, 4630, 21058, 30, 5718, 30, 3657, 473, 26517, 473, 677, 1736, 203, 28, 473, 5045, 473, 5960, 473, 7976, 473, 1656, 473, 11015, 17, 8642, 17, 3103, 8043, 30, 5520, 30, 5908, 473, 27894, 473, 582, 1736, 203, 29, 473, 4711, 473, 1879, 24334, 473, 7976, 473, 731, 473, 5342, 5292, 17, 2138, 17, 3461, 5045, 30, 2643, 30, 6162, 473, 18091, 473, 436, 1736, 203, 2163, 473, 8043, 473, 2731, 473, 15181, 473, 1656, 473, 5342, 10261, 17, 5908, 17, 5558, 21058, 30, 1578, 30, 4313, 473, 21483, 473, 293, 1736, 203, 2499, 473, 4200, 473, 5960, 473, 15181, 473, 731, 473, 23673, 26, 17, 8642, 17, 5324, 17107, 30, 5082, 30, 7132, 473, 6549, 29, 473, 619, 1736, 203, 2138, 473, 10213, 473, 5960, 473, 7877, 14316, 473, 1656, 473, 404, 11984, 17, 3028, 17, 4033, 5045, 30, 3657, 30, 1578, 473, 2593, 24, 473, 324, 1736, 203, 3437, 473, 4248, 473, 5960, 473, 7877, 14316, 473, 1656, 473, 4044, 25, 17, 5908, 17, 5082, 9631, 30, 2163, 30, 3103, 473, 21284, 473, 525, 1736, 203, 3461, 473, 6969, 473, 1879, 24334, 473, 7877, 14316, 473, 524, 473, 5342, 7140, 17, 2499, 17, 6260, 8043, 30, 6162, 30, 5026, 473, 26232, 473, 582, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1278, 67, 15076, 67, 23560, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 11252, 67, 5629, 67, 710, 473, 11252, 67, 5629, 67, 529, 473, 11252, 67, 5629, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 731, 473, 731, 87, 473, 314, 1736, 203, 21, 473, 584, 473, 584, 1121, 473, 1043, 1736, 203, 22, 473, 524, 473, 23350, 1369, 473, 341, 1736, 203, 23, 473, 1656, 473, 1656, 561, 473, 417, 1736, 203, 24, 473, 699, 473, 24316, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 11252, 67, 5629, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 1736, 203, 21, 473, 1656, 1736, 203, 22, 473, 731, 1736, 203, 23, 473, 584, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 10061, 67, 350, 3631, 268, 22, 18, 10540, 67, 2696, 628, 27534, 1598, 87, 487, 268, 21, 1233, 29380, 487, 268, 22, 603, 268, 21, 18, 10061, 67, 350, 273, 268, 22, 18, 10061, 67, 350, 411, 2121, 67, 529, 34, 294, 27534, 1598, 87, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 27534, 1598, 67, 350, 473, 3017, 67, 350, 473, 6666, 67, 350, 473, 27534, 1598, 67, 21672, 67, 710, 473, 27534, 1598, 67, 2327, 67, 710, 473, 27534, 1598, 67, 723, 67, 710, 473, 1509, 67, 832, 412, 1598, 67, 354, 5918, 473, 1509, 67, 832, 412, 1598, 67, 12204, 473, 28904, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 27894, 473, 15743, 473, 1529, 473, 4375, 473, 3017, 5166, 473, 4044, 22, 17, 8642, 17, 2643, 1728, 30, 6162, 30, 4763, 473, 5342, 6669, 17, 3028, 17, 3657, 4648, 30, 4630, 30, 7677, 473, 21284, 1736, 203, 21, 473, 576, 473, 404, 2643, 473, 404, 3437, 473, 1529, 473, 394, 473, 3017, 640, 16665, 473, 5342, 9036, 17, 3103, 17, 2163, 11201, 30, 2539, 30, 4313, 473, 19451, 17, 5908, 17, 3461, 17896, 30, 6162, 30, 2163, 473, 15743, 1736, 203, 22, 473, 890, 473, 404, 3657, 473, 21284, 473, 1529, 473, 394, 473, 3017, 640, 16665, 473, 27212, 17, 2163, 17, 5540, 10934, 30, 6840, 30, 8749, 473, 23673, 25, 17, 5908, 17, 2499, 5045, 30, 8875, 30, 8749, 473, 22821, 1736, 203, 23, 473, 1059, 473, 15743, 473, 21284, 473, 1529, 473, 4375, 473, 3017, 640, 16665, 473, 5342, 4700, 17, 6840, 17, 7677, 9631, 30, 6938, 30, 3657, 473, 5342, 7301, 17, 2163, 17, 3461, 9631, 30, 10321, 30, 2947, 473, 21284, 1736, 203, 24, 473, 1381, 473, 27894, 473, 404, 2643, 473, 1529, 473, 1696, 473, 3017, 5166, 473, 4044, 27, 17, 2163, 17, 3461, 9035, 30, 3361, 30, 8942, 473, 16291, 17, 6840, 17, 4033, 8043, 30, 3103, 30, 8875, 473, 18973, 1736, 203, 25, 473, 1666, 473, 404, 2643, 473, 21284, 473, 1529, 473, 1696, 473, 3017, 640, 16665, 473, 5342, 11035, 17, 8642, 17, 2499, 5045, 30, 7132, 30, 5082, 473, 5342, 5877, 17, 2163, 17, 2499, 15331, 30, 6564, 30, 5082, 473, 21284, 1736, 203, 26, 473, 2371, 473, 27894, 473, 27894, 473, 1529, 473, 394, 473, 3017, 640, 16665, 473, 4044, 22, 17, 8642, 17, 2643, 1728, 30, 6162, 30, 4763, 473, 5342, 6669, 17, 3028, 17, 3657, 4648, 30, 4630, 30, 7677, 473, 404, 2643, 1736, 203, 27, 473, 1725, 473, 27894, 473, 21284, 473, 1529, 473, 394, 473, 3017, 640, 16665, 473, 5342, 9036, 17, 3103, 17, 2163, 11201, 30, 2539, 30, 4313, 473, 19451, 17, 5908, 17, 3461, 17896, 30, 6162, 30, 2163, 473, 27894, 1736, 203, 28, 473, 2468, 473, 27894, 473, 18973, 473, 1529, 473, 394, 473, 3017, 640, 16665, 473, 27212, 17, 2163, 17, 5540, 10934, 30, 6840, 30, 8749, 473, 23673, 25, 17, 5908, 17, 2499, 5045, 30, 8875, 30, 8749, 473, 15743, 1736, 203, 29, 473, 1728, 473, 404, 2643, 473, 22821, 473, 1529, 473, 394, 473, 3017, 640, 16665, 473, 5342, 4700, 17, 6840, 17, 7677, 9631, 30, 6938, 30, 3657, 473, 5342, 7301, 17, 2163, 17, 3461, 9631, 30, 10321, 30, 2947, 473, 21284, 1736, 203, 2163, 473, 4648, 473, 404, 2643, 473, 18973, 473, 1529, 473, 1696, 473, 3017, 640, 16665, 473, 4044, 27, 17, 2163, 17, 3461, 9035, 30, 3361, 30, 8942, 473, 16291, 17, 6840, 17, 4033, 8043, 30, 3103, 30, 8875, 473, 22821, 1736, 203, 2499, 473, 2593, 473, 27894, 473, 18973, 473, 1529, 473, 1696, 473, 3017, 640, 16665, 473, 5342, 11035, 17, 8642, 17, 2499, 5045, 30, 7132, 30, 5082, 473, 5342, 5877, 17, 2163, 17, 2499, 15331, 30, 6564, 30, 5082, 473, 21284, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 29380, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 350, 473, 6666, 67, 723, 67, 710, 473, 1758, 67, 1369, 67, 21, 473, 1758, 67, 1369, 67, 22, 473, 358, 91, 82, 67, 14240, 473, 919, 473, 2699, 67, 2867, 473, 7353, 67, 2696, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 3437, 473, 7494, 12896, 13953, 473, 30457, 4553, 6973, 19193, 310, 473, 279, 337, 18, 1381, 10593, 473, 312, 814, 301, 655, 473, 417, 634, 345, 473, 31097, 73, 373, 264, 36, 8236, 18, 3341, 473, 374, 8148, 26, 3707, 24, 5608, 3361, 1736, 203, 21, 473, 21284, 473, 7494, 12896, 13953, 473, 374, 5520, 525, 329, 350, 1155, 76, 4387, 340, 11371, 1381, 6418, 473, 279, 337, 18, 4248, 25, 473, 7864, 6211, 31317, 473, 366, 2219, 69, 2835, 473, 276, 528, 11821, 18, 87, 9293, 1518, 36, 8236, 18, 2758, 473, 1059, 7301, 17, 3672, 23, 17, 3103, 6334, 1736, 203, 22, 473, 22821, 473, 7494, 12896, 13953, 473, 16146, 29426, 314, 332, 75, 543, 7771, 77, 18892, 343, 279, 337, 18, 1666, 10261, 473, 279, 337, 18, 1725, 6030, 473, 13806, 992, 79, 76, 7638, 473, 19572, 23712, 5946, 473, 18339, 69, 5292, 36, 8236, 18, 832, 473, 2468, 10580, 18, 8148, 28, 18, 24, 4700, 29, 92, 5482, 22, 1736, 203, 23, 473, 18973, 473, 7494, 12896, 13953, 473, 19387, 25339, 417, 270, 715, 9074, 3569, 11371, 13908, 473, 11371, 2468, 6162, 473, 366, 634, 275, 70, 22498, 473, 19572, 23712, 5946, 473, 16653, 717, 291, 1354, 36, 8236, 18, 3341, 473, 1381, 8875, 18, 6418, 23, 18, 5718, 4630, 92, 6162, 25213, 1736, 203, 24, 473, 27894, 473, 7494, 12896, 13953, 473, 404, 4313, 26, 24975, 265, 69, 1879, 5466, 279, 337, 18, 1059, 1105, 473, 11371, 4711, 21, 473, 21435, 524, 291, 842, 14120, 473, 1183, 280, 350, 69, 473, 225, 4895, 2453, 36, 8236, 18, 3341, 473, 374, 6334, 17, 8749, 28, 17, 24, 6564, 29, 1736, 203, 25, 473, 404, 2643, 473, 3467, 603, 25754, 473, 1059, 2947, 24137, 304, 14825, 473, 279, 337, 18, 1059, 8778, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 10061, 67, 350, 13, 473, 7353, 67, 2696, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2593, 473, 1381, 8285, 18, 1611, 29, 18, 7235, 8942, 92, 1578, 28, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 6874, 3631, 268, 22, 18, 13138, 628, 21360, 487, 268, 21, 1233, 13953, 487, 268, 22, 603, 268, 21, 18, 13138, 273, 268, 22, 18, 13138, 1625, 10911, 1648, 11492, 1041, 635, 2657, 280, 7999, 1056, 12, 7205, 280, 13, 1648, 2371, 1353, 635, 2077, 6972, 1800, 2371, 411, 2121, 67, 529, 34, 294, 21360, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7501, 473, 2077, 473, 3286, 473, 2657, 280, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13822, 473, 22296, 598, 326, 17064, 473, 5342, 5520, 473, 28873, 280, 284, 3269, 310, 1736, 203, 21, 473, 21822, 473, 10443, 341, 5913, 473, 5342, 4700, 473, 8244, 280, 908, 328, 5286, 345, 1736, 203, 22, 473, 1728, 23, 473, 326, 14190, 434, 26225, 473, 5342, 9222, 473, 721, 25925, 24754, 1736, 203, 23, 473, 21856, 473, 425, 18, 88, 18, 473, 5342, 11149, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 24, 473, 23633, 473, 268, 305, 304, 335, 473, 23673, 27, 473, 525, 753, 5861, 264, 265, 1736, 203, 25, 473, 1728, 26, 473, 272, 3338, 9578, 473, 5342, 6418, 473, 225, 1736, 203, 26, 473, 1728, 27, 473, 16910, 473, 4044, 29, 473, 525, 753, 5861, 264, 265, 1736, 203, 27, 473, 23515, 473, 767, 24290, 434, 326, 13557, 419, 79, 473, 5342, 11861, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 13953, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 10911, 473, 7501, 473, 24084, 473, 13953, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 3786, 473, 13822, 473, 576, 473, 27853, 17, 1611, 17, 3787, 1736, 203, 21, 473, 3786, 473, 13822, 473, 1059, 473, 27853, 17, 1611, 17, 5324, 1736, 203, 22, 473, 26599, 473, 1728, 26, 473, 1059, 473, 225, 1736, 203, 23, 473, 4200, 23, 473, 1728, 23, 473, 576, 473, 27853, 17, 1611, 17, 3462, 1736, 203, 24, 473, 4200, 23, 473, 23515, 473, 1059, 473, 27853, 17, 1611, 17, 2138, 1736, 203, 25, 473, 4200, 23, 473, 23515, 473, 576, 473, 27853, 17, 1611, 17, 5082, 1736, 203, 26, 473, 11492, 473, 13822, 473, 890, 473, 27853, 17, 1611, 17, 5908, 1736, 203, 27, 473, 4200, 25, 473, 1728, 23, 473, 890, 473, 27853, 17, 1611, 17, 5324, 1736, 203, 28, 473, 4200, 25, 473, 21856, 473, 576, 473, 27853, 17, 1611, 17, 3787, 1736, 203, 29, 473, 4200, 25, 473, 23515, 473, 1059, 473, 225, 1736, 203, 2163, 473, 4200, 26, 473, 1728, 27, 473, 890, 473, 27853, 17, 1611, 17, 3600, 1736, 203, 2499, 473, 4200, 26, 473, 1728, 26, 473, 1381, 473, 27853, 17, 1611, 17, 3657, 1736, 203, 2138, 473, 4200, 27, 473, 1728, 27, 473, 1381, 473, 27853, 17, 1611, 17, 3462, 1736, 203, 3437, 473, 4200, 28, 473, 21856, 473, 890, 473, 27853, 17, 1611, 17, 3103, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 6874, 13, 473, 7501, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 5520, 473, 13822, 1736, 203, 21, 473, 5342, 11861, 473, 23515, 1736, 203, 22, 473, 5342, 6418, 473, 1728, 26, 1736, 203, 23, 473, 5342, 9222, 473, 1728, 23, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3419, 67, 350, 628, 3419, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 405, 1666, 1335, 2027, 3419, 67, 350, 628, 18551, 1371, 67, 9274, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 480, 2371, 411, 2121, 67, 529, 34, 294, 3419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 473, 508, 473, 18285, 473, 6382, 67, 14240, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4834, 451, 359, 436, 6132, 473, 9626, 473, 366, 485, 31836, 473, 8063, 1736, 203, 21, 473, 576, 473, 302, 304, 5926, 387, 473, 2071, 473, 324, 546, 292, 473, 5196, 1736, 203, 22, 473, 890, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 9626, 473, 366, 485, 31836, 473, 17077, 1736, 203, 23, 473, 1059, 473, 7603, 292, 1721, 266, 473, 9626, 473, 366, 485, 31836, 473, 14856, 1736, 203, 24, 473, 1381, 473, 15272, 265, 6108, 908, 73, 473, 9626, 473, 366, 485, 31836, 473, 12292, 1736, 203, 25, 473, 1666, 473, 1675, 8082, 569, 31604, 473, 9626, 473, 366, 485, 31836, 473, 18106, 1736, 203, 26, 473, 2371, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 9626, 473, 366, 485, 31836, 473, 6580, 1736, 203, 27, 473, 1725, 473, 1658, 10370, 93, 8479, 1051, 473, 2071, 473, 10613, 4099, 473, 13191, 1736, 203, 28, 473, 2468, 473, 525, 2753, 721, 78, 345, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18012, 1736, 203, 29, 473, 1728, 473, 366, 275, 1176, 3157, 15833, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18091, 1736, 203, 2163, 473, 4648, 473, 1658, 5604, 816, 473, 9626, 473, 19720, 366, 485, 31836, 473, 6580, 1736, 203, 2499, 473, 2593, 473, 8244, 3674, 328, 2616, 275, 31317, 473, 9626, 473, 3161, 343, 7654, 473, 18106, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 67, 9274, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 3419, 67, 350, 473, 11387, 67, 20478, 473, 309, 67, 2854, 67, 957, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 2371, 473, 1725, 473, 268, 1736, 203, 22, 473, 890, 473, 1059, 473, 1666, 473, 268, 1736, 203, 23, 473, 2371, 473, 2468, 473, 576, 473, 268, 1736, 203, 24, 473, 1059, 473, 890, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2371, 1736, 203, 21, 473, 1725, 1736, 203, 22, 473, 4648, 1736, 203, 23, 473, 2593, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2125, 275, 560, 67, 529, 628, 302, 535, 67, 301, 275, 560, 411, 2121, 67, 529, 34, 294, 302, 535, 67, 301, 275, 560, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2125, 275, 350, 473, 2125, 275, 560, 67, 529, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 713, 473, 13521, 437, 25561, 1736, 203, 21, 473, 2468, 1611, 473, 17078, 7725, 1736, 203, 22, 473, 2468, 3103, 473, 5634, 316, 1026, 475, 1736, 203, 23, 473, 2468, 4630, 473, 5926, 6951, 329, 26450, 1736, 203, 24, 473, 2468, 3028, 473, 1059, 17662, 87, 1736, 203, 25, 473, 2468, 5082, 473, 721, 792, 1736, 203, 26, 473, 2468, 6938, 473, 225, 22603, 9048, 1736, 203, 27, 473, 2468, 1578, 473, 23350, 2269, 310, 1736, 203, 28, 473, 2468, 3787, 473, 19347, 1736, 203, 29, 473, 2468, 3361, 473, 5960, 4452, 11350, 1736, 203, 2163, 473, 2468, 2539, 473, 27566, 316, 3614, 7725, 1736, 203, 2499, 473, 2468, 5908, 473, 5360, 293, 2413, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2125, 275, 560, 67, 529, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13521, 437, 25561, 1736, 203, 21, 473, 17078, 7725, 1736, 203, 22, 473, 5634, 316, 1026, 475, 1736, 203, 23, 473, 5926, 6951, 329, 26450, 1736, 203, 24, 473, 1059, 17662, 87, 1736, 203, 25, 473, 721, 792, 1736, 203, 26, 473, 225, 22603, 9048, 1736, 203, 27, 473, 23350, 2269, 310, 1736, 203, 28, 473, 19347, 1736, 203, 29, 473, 5960, 4452, 11350, 1736, 203, 2163, 473, 27566, 316, 3614, 7725, 1736, 203, 2499, 473, 5360, 293, 2413, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 2867, 67, 350, 3631, 268, 22, 18, 712, 67, 2080, 628, 6138, 487, 268, 21, 1233, 16951, 67, 13277, 487, 268, 22, 603, 268, 21, 18, 2867, 67, 350, 273, 268, 22, 18, 2867, 67, 350, 1625, 12797, 273, 524, 3128, 76, 577, 578, 980, 67, 21, 273, 1725, 6418, 7677, 392, 69, 16301, 1888, 279, 337, 18, 2468, 9975, 203, 31092, 7334, 1349, 16, 12837, 374, 2499, 2138, 471, 3144, 67, 2767, 710, 273, 1381, 3461, 471, 6175, 67, 350, 273, 2593, 21, 578, 1509, 67, 869, 273, 14863, 17, 4630, 17, 2499, 4200, 30, 5558, 30, 9803, 578, 919, 67, 25529, 2410, 67, 1883, 93, 480, 341, 961, 310, 1917, 471, 6175, 67, 2867, 67, 350, 1545, 6969, 27, 471, 980, 67, 22, 480, 279, 337, 18, 1059, 4763, 1041, 635, 6175, 67, 2867, 67, 350, 7999, 12797, 273, 366, 1072, 69, 4487, 831, 471, 5251, 480, 584, 69, 578, 1509, 67, 2080, 480, 4044, 28, 17, 8642, 17, 6938, 17896, 30, 4033, 30, 2947, 471, 919, 67, 25529, 2410, 67, 1883, 93, 480, 331, 1035, 1580, 411, 2121, 67, 529, 34, 294, 6138, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1758, 67, 350, 473, 980, 67, 21, 473, 980, 67, 22, 473, 12797, 473, 3144, 67, 2767, 710, 473, 919, 67, 25529, 2410, 67, 1883, 93, 473, 5251, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 473, 21058, 713, 721, 765, 1200, 320, 1125, 203, 2704, 524, 4757, 69, 16, 27098, 5342, 6976, 17, 7235, 3461, 473, 11371, 374, 10525, 473, 4739, 4644, 287, 464, 473, 1725, 8898, 473, 312, 1580, 13848, 473, 584, 69, 1736, 203, 21, 473, 2468, 473, 2468, 6028, 302, 497, 9048, 279, 337, 18, 890, 3787, 203, 80, 911, 17895, 2586, 93, 76, 7638, 16, 14162, 15892, 30803, 473, 279, 337, 18, 2872, 23, 473, 24516, 1131, 82, 1385, 473, 2371, 2313, 473, 16573, 345, 473, 584, 69, 1736, 203, 22, 473, 12899, 473, 9131, 2539, 20, 23670, 765, 1200, 3613, 5466, 11371, 1666, 9599, 203, 94, 581, 814, 76, 7638, 16, 341, 93, 576, 5540, 7950, 17, 3600, 5026, 473, 279, 337, 18, 1059, 3657, 473, 21435, 775, 541, 70, 280, 4966, 473, 23543, 473, 331, 1035, 1580, 473, 584, 69, 1736, 203, 23, 473, 5196, 473, 1725, 6418, 7677, 392, 69, 16301, 1888, 279, 337, 18, 2468, 9975, 203, 31092, 7334, 1349, 16, 12837, 374, 2499, 2138, 473, 279, 337, 18, 1725, 5193, 473, 328, 911, 417, 287, 402, 473, 1059, 6938, 473, 341, 961, 310, 1917, 473, 584, 69, 1736, 203, 24, 473, 21193, 473, 20963, 28275, 23795, 4098, 13282, 203, 29476, 2031, 334, 361, 16, 4086, 1381, 10593, 1105, 473, 11371, 890, 3707, 473, 18654, 10499, 77, 351, 15347, 473, 1381, 6162, 473, 8039, 497, 407, 278, 3428, 473, 584, 69, 1736, 203, 25, 473, 12292, 473, 4248, 22, 293, 24363, 8838, 384, 266, 2413, 203, 30318, 353, 873, 80, 961, 577, 16, 5346, 17107, 3361, 26, 473, 11371, 890, 7301, 473, 320, 11, 4646, 1165, 1945, 473, 1381, 3461, 473, 394, 81, 338, 10764, 473, 584, 69, 1736, 203, 26, 473, 21483, 473, 1725, 1611, 681, 395, 83, 353, 15733, 11371, 5196, 26, 203, 80, 3505, 90, 14120, 16, 7966, 890, 7132, 6162, 473, 11371, 2371, 1105, 473, 394, 524, 2351, 473, 404, 6669, 473, 12543, 1054, 625, 7259, 473, 584, 69, 1736, 203, 27, 473, 13746, 473, 374, 29882, 284, 31721, 302, 301, 203, 744, 15834, 414, 76, 577, 16, 11654, 20546, 7414, 17, 5877, 5608, 473, 279, 337, 18, 2468, 4630, 473, 24516, 12519, 275, 304, 473, 1666, 3437, 473, 312, 1354, 360, 304, 473, 584, 69, 1736, 203, 28, 473, 23797, 473, 21058, 9462, 21, 366, 1200, 298, 9052, 203, 655, 943, 494, 16, 290, 78, 2468, 23643, 20, 17, 6564, 5908, 473, 11371, 2468, 4630, 473, 366, 1072, 69, 4487, 831, 473, 890, 6564, 473, 3077, 335, 322, 473, 584, 69, 1736, 203, 29, 473, 26103, 473, 1666, 8285, 6938, 328, 842, 265, 4644, 328, 369, 908, 203, 355, 816, 13401, 16, 6744, 4200, 6675, 24, 473, 279, 337, 18, 2371, 4313, 473, 524, 3128, 76, 577, 473, 1666, 11035, 473, 394, 81, 338, 10764, 473, 584, 69, 1736, 203, 2163, 473, 28024, 473, 576, 6030, 284, 9795, 402, 19193, 203, 12124, 398, 2942, 15347, 16, 1183, 13026, 5540, 27, 17, 4313, 7677, 473, 11371, 374, 11035, 473, 24516, 9583, 362, 495, 22498, 473, 374, 7235, 473, 29797, 1594, 473, 584, 69, 1736, 203, 2499, 473, 24153, 473, 404, 4700, 20, 1261, 566, 292, 436, 931, 279, 337, 18, 890, 10580, 203, 31092, 487, 76, 715, 9074, 343, 7654, 16, 5218, 2468, 3657, 9470, 473, 279, 337, 18, 1666, 4033, 473, 19720, 268, 1629, 455, 70, 295, 17680, 473, 404, 7235, 473, 24516, 72, 581, 25441, 473, 584, 69, 1736, 203, 2138, 473, 16146, 473, 1725, 27, 4848, 415, 19752, 31206, 11371, 576, 4848, 203, 3684, 16608, 395, 361, 16, 18812, 890, 7140, 6418, 473, 279, 337, 18, 1059, 4763, 473, 328, 911, 4461, 265, 473, 4248, 24, 473, 24516, 72, 581, 25441, 473, 584, 69, 1736, 203, 3437, 473, 31069, 473, 28024, 4449, 1223, 4819, 88, 6828, 310, 279, 337, 18, 374, 6028, 203, 83, 744, 70, 18156, 70, 22498, 16, 7125, 1666, 5608, 10593, 473, 279, 337, 18, 1666, 5558, 473, 800, 3872, 76, 577, 473, 1381, 5718, 473, 417, 634, 345, 473, 584, 69, 1736, 203, 3461, 473, 14605, 473, 1381, 5340, 6790, 3965, 79, 652, 203, 82, 7825, 31476, 485, 995, 16, 16138, 890, 3600, 5324, 473, 279, 337, 18, 1725, 7616, 473, 19272, 1331, 278, 995, 473, 2468, 7235, 473, 312, 1354, 360, 304, 473, 584, 69, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 16951, 67, 13277, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6175, 67, 2867, 67, 350, 473, 6175, 67, 350, 473, 1758, 67, 350, 473, 1509, 67, 2080, 473, 1509, 67, 869, 1736, 203, 64, 13138, 5345, 203, 20, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 2867, 67, 350, 13, 473, 1509, 67, 2080, 1736, 203, 64, 13138, 5345, 203, 20, 473, 24153, 473, 4044, 28, 17, 6260, 17, 5558, 4200, 30, 8942, 30, 9803, 1736, 203, 21, 473, 14605, 473, 13695, 17, 6260, 17, 2163, 9631, 30, 1578, 30, 6938, 1736, 203, 22, 473, 12292, 473, 11015, 17, 6260, 17, 1611, 8043, 30, 1578, 30, 5558, 1736, 203, 23, 473, 21483, 473, 12461, 17, 6260, 17, 3247, 2872, 30, 3461, 30, 2138, 1736, 203, 24, 473, 28024, 473, 19451, 17, 2138, 17, 5558, 2872, 30, 10321, 30, 1611, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2072, 628, 16951, 1041, 635, 290, 367, 7919, 411, 2121, 67, 529, 34, 294, 16951, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 16951, 67, 350, 473, 290, 367, 7919, 473, 508, 473, 17057, 67, 712, 473, 2072, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 436, 5567, 1155, 473, 279, 298, 79, 307, 93, 320, 334, 438, 13775, 83, 473, 2026, 10659, 16, 5342, 5292, 473, 4200, 27, 18, 20, 1736, 203, 21, 473, 576, 473, 30353, 75, 15240, 473, 6489, 369, 280, 12814, 1065, 1527, 473, 31350, 641, 2872, 16, 5342, 11149, 473, 6549, 22, 18, 20, 1736, 203, 22, 473, 890, 473, 436, 5567, 1155, 473, 24137, 304, 324, 2458, 267, 473, 513, 86, 330, 8043, 16, 5342, 11035, 473, 6549, 27, 18, 20, 1736, 203, 23, 473, 1059, 473, 436, 5567, 1155, 473, 703, 75, 402, 3821, 2304, 267, 473, 525, 304, 24335, 11201, 16, 5342, 11035, 473, 5342, 23, 18, 20, 1736, 203, 24, 473, 1381, 473, 436, 5567, 1155, 473, 677, 14965, 4507, 77, 272, 427, 11142, 76, 6516, 94, 473, 31350, 641, 1725, 16, 5342, 5292, 473, 22882, 18, 20, 1736, 203, 25, 473, 1666, 473, 436, 5567, 1155, 473, 29796, 9812, 2512, 267, 473, 525, 332, 93, 5045, 16, 5342, 10261, 473, 5342, 24, 18, 20, 1736, 203, 26, 473, 2371, 473, 436, 5567, 1155, 473, 6111, 275, 2952, 88, 842, 7771, 77, 93, 473, 1656, 2848, 24335, 1725, 16, 5342, 11861, 473, 4200, 25, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2072, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 22, 1736, 203, 21, 473, 4200, 27, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 350, 16, 1056, 12, 88, 22, 18, 350, 13, 628, 3311, 67, 2625, 67, 30737, 7385, 487, 268, 21, 1233, 4748, 487, 268, 22, 603, 268, 21, 18, 350, 273, 268, 22, 18, 350, 411, 2121, 67, 529, 34, 294, 3311, 67, 2625, 67, 30737, 7385, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 508, 473, 16929, 67, 4299, 473, 1004, 473, 1459, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1247, 2147, 473, 513, 10671, 261, 20132, 13, 473, 679, 729, 16, 353, 84, 473, 324, 5975, 12752, 16, 25344, 16, 6636, 2656, 16, 284, 14776, 16, 23244, 1736, 203, 21, 473, 576, 473, 276, 5656, 473, 9965, 473, 729, 473, 731, 358, 2371, 4313, 79, 3682, 19, 87, 1736, 203, 22, 473, 890, 473, 12063, 13873, 473, 9965, 16, 5318, 16, 19725, 471, 13411, 7166, 473, 729, 473, 7609, 416, 16, 6636, 2656, 16, 324, 5975, 12752, 16, 23244, 1736, 203, 23, 473, 1059, 473, 4797, 318, 473, 1281, 473, 777, 473, 1281, 1736, 203, 24, 473, 1381, 473, 22010, 359, 577, 473, 9965, 16, 1335, 9513, 471, 16848, 473, 353, 84, 473, 7609, 17, 416, 1736, 203, 25, 473, 1666, 473, 5200, 3311, 15153, 7385, 261, 2251, 1213, 267, 5957, 13, 473, 9965, 473, 729, 19, 9536, 1438, 473, 324, 5975, 12752, 1736, 203, 26, 473, 2371, 473, 3904, 2031, 8632, 473, 9965, 473, 777, 473, 1281, 1736, 203, 27, 473, 1725, 473, 2901, 74, 22498, 473, 9965, 16, 5318, 473, 679, 729, 16, 353, 84, 473, 7609, 17, 416, 16, 324, 5975, 12752, 16, 23244, 16, 353, 5176, 16, 25344, 16, 6636, 2656, 1736, 203, 28, 473, 2468, 473, 9357, 473, 9965, 16, 5318, 473, 679, 729, 16, 353, 84, 473, 7609, 17, 416, 16, 324, 5975, 12752, 16, 23244, 16, 353, 5176, 16, 25344, 16, 6636, 2656, 1736, 203, 29, 473, 1728, 473, 603, 13871, 473, 9965, 16, 5318, 471, 13411, 7166, 473, 729, 473, 7609, 416, 16, 6636, 2656, 16, 324, 5975, 12752, 16, 23244, 1736, 203, 2163, 473, 4648, 473, 2255, 69, 268, 295, 1075, 473, 13911, 16, 19725, 16, 5318, 471, 9965, 7166, 473, 729, 19, 4063, 69, 1438, 473, 1281, 1736, 203, 2499, 473, 2593, 473, 2952, 625, 83, 473, 9753, 261, 20132, 16, 380, 2038, 72, 16, 5318, 1140, 619, 16, 10654, 3631, 9965, 473, 729, 19, 23831, 473, 1281, 1736, 203, 2138, 473, 5958, 473, 2270, 292, 473, 9965, 16, 5318, 473, 679, 729, 16, 353, 84, 473, 7609, 16, 23244, 16, 353, 5176, 16, 25344, 16, 6636, 2656, 1736, 203, 3437, 473, 5045, 473, 2889, 4646, 3311, 15153, 7385, 473, 9965, 16, 5318, 16, 13411, 7166, 473, 729, 473, 7609, 416, 16, 6636, 2656, 16, 324, 5975, 12752, 16, 23244, 1736, 203, 3461, 473, 4711, 473, 767, 70, 3682, 473, 1281, 2619, 598, 2252, 404, 18, 26, 4268, 2319, 473, 353, 84, 473, 1281, 1736, 203, 3600, 473, 2872, 473, 17715, 350, 473, 9753, 261, 20132, 16, 380, 2038, 72, 16, 5318, 1140, 619, 16, 10654, 3631, 9965, 473, 729, 19, 23831, 473, 1281, 1736, 203, 2313, 473, 8043, 473, 358, 265, 292, 473, 9965, 16, 19725, 16, 5318, 1140, 16, 1393, 1627, 2779, 16, 2742, 4808, 7106, 473, 729, 19, 23831, 473, 1281, 1736, 203, 4033, 473, 6549, 473, 341, 310, 340, 473, 9965, 261, 17172, 603, 6397, 13, 473, 777, 473, 1281, 1736, 203, 2643, 473, 5342, 473, 3144, 303, 1698, 473, 9753, 261, 20132, 16, 380, 2038, 72, 16, 5318, 1140, 619, 16, 10654, 13, 473, 353, 84, 473, 1281, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 4748, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 508, 473, 13667, 67, 14419, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 24264, 22147, 473, 9131, 18, 10525, 1736, 203, 21, 473, 576, 473, 4452, 13873, 473, 6549, 18, 2499, 1736, 203, 22, 473, 890, 473, 11029, 12954, 473, 1725, 18, 6564, 1736, 203, 23, 473, 1059, 473, 2255, 69, 473, 404, 18, 22, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 1056, 12, 88, 22, 18, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3309, 8836, 649, 628, 12797, 1041, 635, 9578, 411, 2121, 67, 529, 34, 294, 12797, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 12797, 67, 350, 473, 1056, 93, 67, 350, 473, 508, 473, 9578, 473, 7721, 473, 2125, 264, 728, 2779, 473, 487, 2779, 473, 3309, 8836, 649, 473, 18423, 7355, 335, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 8307, 318, 9158, 473, 31007, 18, 21, 473, 890, 18, 21, 473, 374, 18, 23, 473, 374, 18, 20, 473, 890, 18, 24, 473, 14605, 18, 26, 1736, 203, 21, 473, 576, 473, 404, 473, 1737, 89, 16524, 473, 20457, 18, 26, 473, 1381, 18, 23, 473, 374, 18, 23, 473, 374, 18, 21, 473, 2371, 18, 27, 473, 14605, 18, 24, 1736, 203, 22, 473, 890, 473, 404, 473, 1737, 89, 361, 10745, 473, 26232, 18, 20, 473, 2371, 18, 24, 473, 374, 18, 23, 473, 374, 18, 22, 473, 1725, 18, 22, 473, 24645, 18, 25, 1736, 203, 23, 473, 1059, 473, 576, 473, 1737, 89, 345, 25666, 275, 345, 473, 19387, 18, 25, 473, 2593, 18, 26, 473, 374, 18, 26, 473, 374, 18, 21, 473, 5045, 18, 22, 473, 14605, 18, 25, 1736, 203, 24, 473, 1381, 473, 576, 473, 279, 495, 265, 11250, 473, 26232, 18, 25, 473, 2371, 18, 23, 473, 374, 18, 22, 473, 374, 18, 20, 473, 2468, 18, 20, 473, 14605, 18, 23, 1736, 203, 25, 473, 1666, 473, 890, 473, 279, 132, 101, 131, 114, 345, 2894, 473, 28024, 18, 20, 473, 2371, 18, 22, 473, 374, 18, 24, 473, 374, 18, 21, 473, 1728, 18, 23, 473, 14605, 18, 22, 1736, 203, 26, 473, 2371, 473, 890, 473, 854, 71, 495, 83, 473, 23421, 18, 25, 473, 1666, 18, 21, 473, 374, 18, 24, 473, 374, 18, 21, 473, 2371, 18, 29, 473, 14605, 18, 22, 1736, 203, 27, 473, 1725, 473, 890, 473, 419, 3800, 83, 473, 15935, 18, 25, 473, 3847, 18, 25, 473, 374, 18, 29, 473, 374, 18, 22, 473, 5958, 18, 20, 473, 14605, 18, 21, 1736, 203, 28, 473, 2468, 473, 890, 473, 4653, 2183, 265, 1066, 473, 8958, 18, 27, 473, 2371, 18, 26, 473, 374, 18, 23, 473, 374, 18, 21, 473, 4648, 18, 22, 473, 14605, 18, 24, 1736, 203, 29, 473, 1728, 473, 890, 473, 4653, 2450, 27176, 345, 473, 20457, 18, 20, 473, 1381, 18, 24, 473, 374, 18, 23, 473, 374, 18, 20, 473, 1725, 18, 23, 473, 14605, 18, 23, 1736, 203, 2163, 473, 4648, 473, 890, 473, 324, 528, 301, 132, 101, 131, 116, 82, 473, 22860, 18, 23, 473, 1728, 18, 23, 473, 374, 18, 26, 473, 374, 18, 22, 473, 1728, 18, 27, 473, 14605, 18, 20, 1736, 203, 2499, 473, 2593, 473, 1059, 473, 276, 378, 83, 721, 30952, 473, 23421, 18, 21, 473, 1381, 18, 24, 473, 374, 18, 23, 473, 374, 18, 21, 473, 1728, 18, 21, 473, 24645, 18, 29, 1736, 203, 2138, 473, 5958, 473, 1059, 473, 276, 346, 89, 345, 473, 22997, 18, 21, 473, 4648, 18, 20, 473, 374, 18, 26, 473, 374, 18, 22, 473, 2593, 18, 21, 473, 14605, 18, 21, 1736, 203, 3437, 473, 5045, 473, 1381, 473, 5861, 9835, 473, 1725, 27, 18, 29, 473, 1059, 18, 21, 473, 374, 18, 23, 473, 374, 18, 21, 473, 2371, 18, 26, 473, 14605, 18, 24, 1736, 203, 3461, 473, 4711, 473, 1381, 473, 848, 132, 101, 131, 116, 90, 304, 345, 473, 17845, 18, 22, 473, 9035, 18, 26, 473, 374, 18, 29, 473, 374, 18, 22, 473, 2872, 18, 21, 473, 14605, 18, 22, 1736, 203, 3600, 473, 2872, 473, 1666, 473, 5926, 355, 15314, 473, 5178, 18, 23, 473, 11201, 18, 28, 473, 374, 18, 29, 473, 374, 18, 24, 473, 4648, 18, 27, 473, 24645, 18, 26, 1736, 203, 2313, 473, 8043, 473, 1666, 473, 276, 396, 132, 101, 131, 114, 83, 473, 16647, 18, 27, 473, 5045, 18, 24, 473, 404, 18, 20, 473, 374, 18, 23, 473, 5958, 18, 27, 473, 14605, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3309, 8836, 649, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5958, 18, 20, 1736, 203, 21, 473, 2872, 18, 21, 1736, 203, 22, 473, 4648, 18, 27, 1736, 203, 23, 473, 5958, 18, 27, 1736, 203, 24, 473, 5045, 18, 22, 1736, 203, 25, 473, 2593, 18, 21, 1736, 203, 26, 473, 1728, 18, 27, 1736, 203, 27, 473, 4648, 18, 22, 1736, 203, 28, 473, 1728, 18, 23, 1736, 203, 29, 473, 1725, 18, 22, 1736, 203, 2163, 473, 2468, 18, 20, 1736, 203, 2499, 473, 1728, 18, 21, 1736, 203, 2138, 473, 2371, 18, 29, 1736, 203, 3437, 473, 1725, 18, 23, 1736, 203, 3461, 473, 2371, 18, 27, 1736, 203, 3600, 473, 2371, 18, 26, 1736, 203, 2313, 473, 890, 18, 24, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 2107, 67, 792, 67, 69, 14079, 3631, 268, 22, 18, 13258, 628, 18202, 340, 487, 268, 21, 1233, 18202, 340, 67, 28035, 487, 268, 22, 603, 268, 21, 18, 31888, 340, 67, 350, 273, 268, 22, 18, 31888, 340, 67, 350, 1625, 7103, 3985, 1535, 405, 576, 578, 6092, 411, 1666, 471, 818, 67, 792, 67, 69, 14079, 405, 8566, 578, 331, 275, 344, 480, 302, 373, 10658, 269, 582, 8906, 471, 309, 67, 7329, 3985, 1535, 67, 8082, 273, 268, 1041, 635, 331, 275, 344, 7999, 1056, 12, 24612, 13, 480, 404, 1353, 635, 1509, 3044, 1800, 1381, 411, 2121, 67, 529, 34, 294, 18202, 340, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18202, 340, 67, 350, 473, 1509, 473, 331, 275, 344, 473, 818, 67, 792, 67, 69, 14079, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 10844, 83, 744, 9035, 16, 27853, 473, 3161, 20789, 269, 324, 9795, 7596, 473, 890, 9452, 1736, 203, 21, 473, 576, 473, 443, 311, 81, 744, 8043, 16, 13695, 473, 741, 3395, 269, 1043, 8761, 473, 404, 5026, 1736, 203, 22, 473, 890, 473, 31350, 641, 890, 16, 12461, 473, 3161, 20789, 269, 324, 9795, 7596, 473, 8566, 1736, 203, 23, 473, 1059, 473, 10844, 83, 744, 12732, 16, 12461, 473, 3161, 20789, 269, 324, 9795, 7596, 473, 4200, 29, 1736, 203, 24, 473, 1381, 473, 525, 304, 24335, 2593, 16, 11015, 473, 302, 373, 10658, 269, 582, 8906, 473, 890, 3437, 1736, 203, 25, 473, 1666, 473, 525, 304, 24335, 9035, 16, 11015, 473, 1223, 89, 11007, 21457, 269, 582, 8906, 473, 4711, 29, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18202, 340, 67, 28035, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18202, 340, 67, 350, 473, 7103, 3985, 1535, 473, 6092, 473, 309, 67, 7329, 3985, 1535, 67, 8082, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 576, 473, 1725, 473, 284, 1736, 203, 22, 473, 890, 473, 1059, 473, 2371, 473, 268, 1736, 203, 23, 473, 1666, 473, 1381, 473, 1666, 473, 268, 1736, 203, 24, 473, 1059, 473, 1381, 473, 1725, 473, 284, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 2107, 67, 792, 67, 69, 14079, 13, 473, 6092, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 2371, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 871, 67, 350, 628, 2641, 1625, 871, 67, 350, 405, 4648, 471, 871, 67, 723, 67, 710, 480, 18542, 2405, 471, 1758, 67, 350, 273, 4711, 7812, 2027, 871, 67, 350, 628, 1087, 606, 67, 267, 67, 5989, 1625, 2478, 67, 710, 480, 15501, 1824, 578, 871, 67, 350, 480, 2593, 411, 2121, 67, 529, 34, 294, 2641, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 871, 67, 350, 473, 1758, 67, 350, 473, 1904, 67, 350, 473, 871, 67, 723, 67, 710, 473, 574, 1359, 67, 350, 473, 2117, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 890, 473, 2593, 473, 18542, 2405, 473, 576, 473, 5958, 1736, 203, 21, 473, 576, 473, 4711, 473, 5958, 473, 11779, 356, 586, 1331, 473, 1725, 473, 4648, 1736, 203, 22, 473, 890, 473, 2593, 473, 404, 473, 11779, 356, 586, 1331, 473, 2593, 473, 1666, 1736, 203, 23, 473, 1059, 473, 5958, 473, 1728, 473, 276, 264, 4758, 606, 473, 2371, 473, 1666, 1736, 203, 24, 473, 1381, 473, 2468, 473, 1059, 473, 18542, 2405, 473, 4711, 473, 1666, 1736, 203, 25, 473, 1666, 473, 4711, 473, 2593, 473, 6111, 267, 297, 473, 4711, 473, 2468, 1736, 203, 26, 473, 2371, 473, 4711, 473, 1666, 473, 18542, 2405, 473, 5958, 473, 4711, 1736, 203, 27, 473, 1725, 473, 890, 473, 4711, 473, 18542, 2405, 473, 404, 473, 1666, 1736, 203, 28, 473, 2468, 473, 2593, 473, 890, 473, 11779, 356, 586, 1331, 473, 890, 473, 4648, 1736, 203, 29, 473, 1728, 473, 4711, 473, 1728, 473, 356, 1134, 473, 2371, 473, 2593, 1736, 203, 2163, 473, 4648, 473, 1728, 473, 1059, 473, 18542, 2405, 473, 576, 473, 1725, 1736, 203, 2499, 473, 2593, 473, 5045, 473, 2468, 473, 18542, 2405, 473, 5045, 473, 2371, 1736, 203, 2138, 473, 5958, 473, 2593, 473, 5958, 473, 18542, 2405, 473, 2593, 473, 2593, 1736, 203, 3437, 473, 5045, 473, 1728, 473, 4648, 473, 6111, 267, 297, 473, 1381, 473, 1728, 1736, 203, 3461, 473, 4711, 473, 576, 473, 576, 473, 356, 1134, 473, 1728, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1087, 606, 67, 267, 67, 5989, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18285, 67, 350, 473, 871, 67, 350, 473, 2478, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 890, 473, 2371, 473, 15501, 1824, 1736, 203, 21, 473, 890, 473, 1725, 473, 14188, 1736, 203, 22, 473, 1059, 473, 404, 473, 15501, 1824, 1736, 203, 23, 473, 1059, 473, 890, 473, 14188, 1736, 203, 24, 473, 1059, 473, 1725, 473, 15501, 1824, 1736, 203, 25, 473, 1381, 473, 2468, 473, 14188, 1736, 203, 26, 473, 1381, 473, 1728, 473, 14188, 1736, 203, 27, 473, 1381, 473, 4711, 473, 15501, 1824, 1736, 203, 28, 473, 1666, 473, 1666, 473, 15501, 1824, 1736, 203, 29, 473, 1666, 473, 2593, 473, 14188, 1736, 203, 2163, 473, 1666, 473, 5958, 473, 15501, 1824, 1736, 203, 2499, 473, 2468, 473, 890, 473, 14188, 1736, 203, 2138, 473, 2468, 473, 1059, 473, 14188, 1736, 203, 3437, 473, 2468, 473, 1728, 473, 15501, 1824, 1736, 203, 3461, 473, 2468, 473, 2593, 473, 15501, 1824, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 871, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 890, 1736, 203, 22, 473, 1059, 1736, 203, 23, 473, 1666, 1736, 203, 24, 473, 2371, 1736, 203, 25, 473, 1725, 1736, 203, 26, 473, 2468, 1736, 203, 27, 473, 1728, 1736, 203, 28, 473, 2593, 1736, 203, 29, 473, 5958, 1736, 203, 2163, 473, 4711, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 14019, 3631, 268, 22, 18, 27427, 345, 11278, 67, 25911, 628, 18110, 487, 268, 21, 1233, 331, 17128, 67, 3366, 487, 268, 22, 603, 268, 21, 18, 334, 1911, 273, 268, 22, 18, 334, 1911, 1625, 9388, 405, 9035, 578, 4075, 6392, 67, 25911, 405, 2130, 24, 471, 4001, 814, 67, 25911, 273, 1728, 5082, 578, 667, 67, 87, 275, 639, 67, 25911, 405, 1728, 6030, 471, 7914, 67, 712, 273, 16314, 19, 5082, 19, 26709, 471, 12797, 67, 710, 480, 324, 287, 578, 5299, 480, 525, 318, 578, 9787, 345, 11278, 67, 25911, 1545, 1728, 4763, 471, 25526, 67, 13946, 273, 4159, 578, 19631, 273, 284, 578, 667, 67, 12202, 6392, 67, 25911, 273, 1728, 5340, 1041, 635, 9787, 345, 11278, 67, 25911, 7999, 9787, 345, 11278, 67, 25911, 405, 1728, 4763, 471, 25526, 67, 13946, 480, 4159, 471, 667, 67, 12202, 6392, 67, 25911, 1545, 1728, 5340, 578, 328, 529, 480, 417, 379, 297, 578, 7888, 405, 14707, 578, 31842, 67, 12202, 6392, 67, 25911, 480, 2130, 27, 411, 2121, 67, 529, 34, 294, 18110, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 328, 529, 473, 5299, 473, 9388, 473, 19631, 473, 7888, 473, 1261, 10227, 473, 12797, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 21, 473, 3029, 483, 473, 328, 728, 69, 473, 6549, 473, 284, 473, 14707, 473, 23543, 21, 473, 324, 287, 1736, 203, 21, 473, 2130, 22, 473, 417, 381, 473, 1284, 2431, 473, 5342, 473, 284, 473, 14707, 473, 28244, 2138, 473, 366, 14931, 1736, 203, 22, 473, 2130, 23, 473, 525, 5322, 473, 699, 77, 292, 69, 473, 9035, 473, 284, 473, 14707, 473, 2371, 7235, 22, 473, 1703, 1736, 203, 23, 473, 2130, 24, 473, 417, 379, 297, 473, 302, 1465, 76, 473, 4200, 473, 312, 473, 14707, 473, 23421, 4366, 473, 17198, 1736, 203, 24, 473, 2130, 25, 473, 18827, 10422, 473, 6790, 332, 473, 10659, 473, 312, 473, 14707, 473, 23543, 21, 473, 9016, 94, 1736, 203, 25, 473, 2130, 26, 473, 18551, 406, 94, 473, 471, 93, 473, 6549, 473, 312, 473, 14707, 473, 21284, 28, 473, 324, 287, 1736, 203, 26, 473, 2130, 27, 473, 513, 438, 473, 328, 291, 69, 473, 6549, 473, 284, 473, 14707, 473, 28308, 2643, 473, 293, 305, 1736, 203, 27, 473, 2130, 28, 473, 290, 292, 816, 473, 525, 464, 93, 473, 4200, 473, 284, 473, 14707, 473, 2468, 28406, 473, 324, 287, 1736, 203, 28, 473, 2130, 29, 473, 268, 10658, 473, 225, 3036, 473, 5342, 473, 312, 473, 14707, 473, 576, 15561, 473, 9016, 94, 1736, 203, 29, 473, 13822, 20, 473, 884, 73, 473, 18207, 79, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 366, 1395, 1736, 203, 2163, 473, 13822, 21, 473, 1261, 301, 87, 473, 302, 842, 350, 473, 11201, 473, 312, 473, 14707, 473, 21284, 28, 473, 1844, 80, 1736, 203, 2499, 473, 13822, 22, 473, 302, 842, 291, 473, 384, 16728, 473, 4200, 473, 312, 473, 14707, 473, 28244, 4366, 473, 293, 305, 1736, 203, 2138, 473, 13822, 24, 473, 12517, 18387, 473, 1149, 1040, 473, 6549, 473, 312, 473, 14707, 473, 1725, 5608, 21, 473, 302, 287, 1736, 203, 3437, 473, 13822, 25, 473, 884, 73, 473, 11375, 304, 473, 2872, 473, 284, 473, 14707, 473, 1725, 27, 5340, 473, 366, 14931, 1736, 203, 3461, 473, 13822, 26, 473, 18551, 91, 27202, 473, 2267, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 3023, 1736, 203, 3600, 473, 13822, 27, 473, 341, 330, 816, 473, 5186, 3965, 473, 12732, 473, 312, 473, 14707, 473, 21284, 28, 473, 4281, 1736, 203, 2313, 473, 13822, 28, 473, 884, 750, 265, 473, 312, 1354, 69, 292, 473, 4200, 473, 312, 473, 14707, 473, 23543, 21, 473, 293, 305, 1736, 203, 4033, 473, 13822, 29, 473, 293, 539, 473, 419, 451, 295, 473, 6549, 473, 312, 473, 14707, 473, 576, 15561, 473, 1703, 1736, 203, 2643, 473, 1728, 3462, 473, 286, 280, 496, 265, 473, 277, 304, 473, 11201, 473, 312, 473, 1381, 3462, 473, 2371, 5324, 21, 473, 15308, 71, 1736, 203, 3657, 473, 1728, 5340, 473, 471, 266, 1395, 473, 8244, 280, 908, 473, 5342, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3462, 473, 1728, 3787, 473, 341, 4773, 87, 473, 312, 1354, 69, 292, 473, 8043, 473, 312, 473, 1381, 7132, 473, 1725, 27, 3787, 473, 1844, 80, 1736, 203, 5340, 473, 1728, 4366, 473, 699, 1385, 744, 473, 302, 842, 350, 473, 4200, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3787, 473, 6250, 473, 846, 2045, 473, 384, 3505, 473, 6549, 473, 284, 473, 1381, 7132, 473, 2371, 5324, 21, 473, 324, 287, 1736, 203, 4366, 473, 1728, 2947, 473, 20465, 4728, 473, 2267, 473, 6549, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 293, 305, 1736, 203, 3247, 473, 1728, 5558, 473, 293, 539, 473, 225, 3036, 473, 5342, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 366, 14931, 1736, 203, 2947, 473, 1728, 5324, 473, 23670, 15680, 473, 6790, 332, 473, 6549, 473, 312, 473, 1381, 3462, 473, 1725, 27, 4366, 473, 22148, 1736, 203, 5558, 473, 1728, 6030, 473, 436, 2127, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 10213, 2499, 473, 721, 71, 1736, 203, 5324, 473, 1728, 5540, 473, 366, 304, 473, 525, 318, 473, 8043, 473, 312, 473, 2130, 473, 10213, 2499, 473, 2804, 79, 1736, 203, 6030, 473, 1728, 5082, 473, 462, 24688, 473, 328, 291, 69, 473, 9035, 473, 284, 473, 1381, 3361, 473, 10213, 2499, 473, 272, 617, 1736, 203, 5540, 473, 1728, 6938, 473, 3029, 483, 473, 272, 297, 9795, 473, 4200, 473, 284, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 1844, 80, 1736, 203, 5082, 473, 1728, 1578, 473, 324, 26253, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 622, 80, 1736, 203, 6938, 473, 1728, 3707, 473, 3142, 959, 473, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 14019, 13, 473, 9787, 345, 11278, 67, 25911, 1736, 203, 64, 13138, 5345, 203, 20, 473, 14707, 473, 1728, 2947, 1736, 203, 21, 473, 14707, 473, 1728, 4763, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 6874, 13, 473, 384, 474, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 5877, 473, 404, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1668, 67, 723, 67, 710, 628, 1278, 67, 5457, 67, 2352, 1625, 1668, 67, 723, 67, 3384, 273, 324, 7812, 2027, 1668, 67, 723, 67, 710, 628, 1278, 67, 5457, 67, 2352, 1625, 1668, 67, 723, 67, 3384, 480, 582, 578, 1668, 67, 723, 67, 710, 480, 7976, 411, 2121, 67, 529, 34, 294, 1278, 67, 5457, 67, 2352, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1668, 67, 723, 67, 710, 473, 1668, 67, 723, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 7976, 473, 324, 1736, 203, 21, 473, 15181, 473, 582, 1736, 203, 22, 473, 7877, 14316, 473, 284, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1278, 67, 5457, 67, 2352, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1668, 67, 723, 67, 710, 473, 1668, 67, 723, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 7976, 473, 324, 1736, 203, 21, 473, 15181, 473, 582, 1736, 203, 22, 473, 7877, 14316, 473, 284, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1668, 67, 723, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 7976, 1736, 203, 21, 473, 7877, 14316, 1736, 203, 22, 473, 15181, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 830, 373, 67, 350, 3631, 268, 22, 18, 25119, 502, 628, 927, 373, 487, 268, 21, 1233, 927, 373, 67, 11500, 487, 268, 22, 603, 268, 21, 18, 830, 373, 67, 350, 273, 268, 22, 18, 830, 373, 67, 350, 1625, 6171, 1648, 404, 18, 20, 578, 2078, 411, 890, 18, 20, 578, 20465, 411, 890, 18, 20, 578, 787, 67, 6874, 273, 4044, 25, 411, 2121, 67, 529, 34, 294, 927, 373, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 927, 373, 67, 350, 473, 508, 473, 3020, 473, 787, 67, 6874, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 279, 495, 473, 584, 69, 473, 4044, 29, 1736, 203, 21, 473, 576, 473, 22723, 12701, 473, 27178, 473, 23673, 28, 1736, 203, 22, 473, 890, 473, 309, 75, 473, 462, 15314, 473, 4044, 25, 1736, 203, 23, 473, 1059, 473, 6972, 473, 525, 30472, 473, 4044, 21, 1736, 203, 24, 473, 1381, 473, 366, 564, 22, 473, 570, 7043, 464, 473, 16291, 1736, 203, 25, 473, 1666, 473, 12670, 70, 430, 473, 16430, 94, 330, 473, 27853, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 927, 373, 67, 11500, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6171, 473, 927, 373, 67, 350, 473, 20465, 473, 17714, 502, 473, 324, 1949, 8489, 473, 2078, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 18, 20, 473, 576, 473, 4648, 18, 20, 473, 4648, 18, 20, 473, 2468, 18, 20, 473, 8231, 18, 20, 1736, 203, 21, 473, 576, 18, 20, 473, 890, 473, 1725, 18, 20, 473, 2371, 18, 20, 473, 1666, 18, 20, 473, 9035, 18, 20, 1736, 203, 22, 473, 890, 18, 20, 473, 404, 473, 2371, 18, 20, 473, 1059, 18, 20, 473, 576, 18, 20, 473, 5958, 18, 20, 1736, 203, 23, 473, 1059, 18, 20, 473, 1059, 473, 1059, 18, 20, 473, 576, 18, 20, 473, 1666, 18, 20, 473, 2593, 18, 20, 1736, 203, 24, 473, 1381, 18, 20, 473, 1381, 473, 890, 18, 20, 473, 890, 18, 20, 473, 374, 18, 20, 473, 1666, 18, 20, 1736, 203, 25, 473, 1666, 18, 20, 473, 1666, 473, 576, 18, 20, 473, 404, 18, 20, 473, 374, 18, 20, 473, 890, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 830, 373, 67, 350, 13, 473, 17714, 502, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 473, 404, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 23020, 784, 67, 350, 628, 23020, 6141, 1625, 23020, 6141, 67, 723, 480, 3397, 1812, 578, 23020, 784, 67, 6395, 273, 2371, 29157, 21364, 4728, 5118, 773, 11371, 26599, 9136, 2027, 23020, 784, 67, 350, 628, 6666, 67, 13277, 1625, 23020, 784, 67, 350, 480, 1381, 411, 2121, 67, 529, 34, 294, 23020, 6141, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23020, 784, 67, 350, 473, 23020, 6141, 67, 723, 473, 23020, 784, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 341, 14630, 473, 374, 5718, 328, 344, 330, 28450, 94, 366, 6779, 280, 1736, 203, 21, 473, 576, 473, 341, 14630, 473, 1666, 6669, 29861, 715, 1694, 295, 1736, 203, 22, 473, 890, 473, 10043, 802, 473, 576, 8285, 5520, 5926, 21269, 14825, 11371, 374, 8875, 1736, 203, 23, 473, 1059, 473, 10043, 802, 473, 11201, 3657, 4653, 3870, 14825, 279, 337, 18, 1725, 11180, 1736, 203, 24, 473, 1381, 473, 3397, 1812, 473, 18012, 5540, 21, 525, 264, 323, 9052, 279, 337, 18, 2371, 3437, 1736, 203, 25, 473, 1666, 473, 3397, 1812, 473, 21483, 7140, 1223, 4819, 88, 5442, 1736, 203, 26, 473, 2371, 473, 10043, 802, 473, 21483, 2163, 10489, 379, 10004, 1736, 203, 27, 473, 1725, 473, 341, 14630, 473, 2371, 29157, 21364, 4728, 5118, 773, 11371, 26599, 1736, 203, 28, 473, 2468, 473, 341, 14630, 473, 1666, 3787, 11149, 341, 452, 69, 314, 1897, 279, 337, 18, 1059, 5082, 1736, 203, 29, 473, 1728, 473, 3397, 1812, 473, 374, 9036, 2643, 392, 2758, 2351, 23573, 1888, 1736, 203, 2163, 473, 4648, 473, 3397, 1812, 473, 374, 1611, 713, 10004, 5344, 4167, 279, 337, 18, 1666, 8643, 1736, 203, 2499, 473, 2593, 473, 3397, 1812, 473, 890, 1578, 11290, 341, 16607, 301, 328, 369, 908, 279, 337, 18, 2468, 8643, 1736, 203, 2138, 473, 5958, 473, 3397, 1812, 473, 12732, 4848, 279, 641, 267, 13282, 1736, 203, 3437, 473, 5045, 473, 10043, 802, 473, 1381, 22267, 525, 1513, 31206, 279, 337, 18, 374, 11149, 1736, 203, 3461, 473, 4711, 473, 3397, 1812, 473, 1725, 9599, 801, 1060, 5081, 3606, 279, 337, 18, 374, 6028, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 6666, 67, 13277, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 350, 473, 23020, 784, 67, 350, 473, 1509, 67, 2867, 67, 2080, 473, 1758, 67, 723, 67, 710, 473, 1509, 67, 2867, 67, 869, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4711, 473, 404, 473, 23673, 22, 17, 6840, 17, 4366, 9035, 30, 4033, 30, 7414, 473, 10709, 473, 14863, 17, 3103, 17, 6030, 4200, 30, 6564, 30, 8204, 1736, 203, 21, 473, 576, 473, 576, 473, 18965, 17, 3103, 17, 4366, 17896, 30, 7616, 30, 3361, 473, 10709, 473, 14863, 17, 4630, 17, 3600, 6549, 30, 5026, 30, 9803, 1736, 203, 22, 473, 404, 473, 404, 473, 5342, 5877, 17, 2138, 17, 3247, 1728, 30, 1611, 30, 6418, 473, 11252, 473, 14863, 17, 4630, 17, 6840, 16314, 30, 4630, 30, 10593, 1736, 203, 23, 473, 890, 473, 576, 473, 23673, 25, 17, 4630, 17, 5558, 8043, 30, 5520, 30, 8749, 473, 11252, 473, 14863, 17, 3103, 17, 5324, 8043, 30, 9452, 30, 3657, 1736, 203, 24, 473, 2371, 473, 404, 473, 5342, 5540, 17, 6260, 17, 3461, 16486, 30, 5540, 30, 8942, 473, 10709, 473, 14863, 17, 4630, 17, 2313, 6549, 30, 10593, 30, 9462, 1736, 203, 25, 473, 1725, 473, 1059, 473, 5342, 5520, 17, 1611, 17, 3600, 8043, 30, 2539, 30, 5520, 473, 11252, 473, 14863, 17, 4630, 17, 3437, 16314, 30, 5340, 30, 5324, 1736, 203, 26, 473, 1381, 473, 1381, 473, 5342, 6938, 17, 4630, 17, 3247, 4648, 30, 6334, 30, 8642, 473, 11252, 473, 14863, 17, 4630, 17, 6260, 17896, 30, 5026, 30, 1611, 1736, 203, 27, 473, 4648, 473, 1666, 473, 5342, 5877, 17, 3028, 17, 4366, 4200, 30, 9803, 30, 1611, 473, 10709, 473, 14863, 17, 4630, 17, 3028, 17107, 30, 6840, 30, 8749, 1736, 203, 28, 473, 4648, 473, 890, 473, 5342, 3462, 17, 6840, 17, 2643, 16486, 30, 9452, 30, 2539, 473, 11252, 473, 14863, 17, 4630, 17, 3787, 11201, 30, 8749, 30, 9401, 1736, 203, 29, 473, 4648, 473, 1381, 473, 5342, 4848, 17, 8642, 17, 6938, 13026, 30, 2163, 30, 3462, 473, 11252, 473, 14863, 17, 4630, 17, 5908, 17107, 30, 5026, 30, 2499, 1736, 203, 2163, 473, 5958, 473, 1666, 473, 23673, 20, 17, 2138, 17, 3657, 11201, 30, 3103, 30, 5324, 473, 10709, 473, 14863, 17, 4630, 17, 3247, 10934, 30, 2138, 30, 4763, 1736, 203, 2499, 473, 1059, 473, 1725, 473, 5342, 7140, 17, 4630, 17, 2643, 4200, 30, 8749, 30, 5082, 473, 11252, 473, 14863, 17, 3103, 17, 5324, 2872, 30, 9462, 30, 3247, 1736, 203, 2138, 473, 1728, 473, 1728, 473, 5342, 9060, 17, 7677, 17, 7677, 8743, 30, 3361, 30, 7132, 473, 10709, 473, 14863, 17, 4630, 17, 6840, 9035, 30, 5908, 30, 5082, 1736, 203, 3437, 473, 1725, 473, 2593, 473, 5342, 5193, 17, 7677, 17, 2313, 1728, 30, 2163, 30, 6418, 473, 10709, 473, 14863, 17, 4630, 17, 6260, 4648, 30, 5558, 30, 4630, 1736, 203, 3461, 473, 890, 473, 5045, 473, 4044, 22, 17, 3103, 17, 1611, 17896, 30, 2539, 30, 3437, 473, 10709, 473, 14863, 17, 4630, 17, 2313, 4648, 30, 2539, 30, 2499, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23020, 784, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 23, 473, 1059, 1736, 203, 24, 473, 1725, 1736, 203, 25, 473, 5045, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1509, 16, 5402, 67, 350, 16, 1904, 67, 350, 16, 7433, 67, 267, 67, 8849, 628, 8959, 67, 14419, 1625, 1904, 67, 350, 411, 890, 9136, 2027, 1509, 16, 5402, 67, 350, 16, 1904, 67, 350, 16, 7433, 67, 267, 67, 8849, 628, 8959, 67, 14419, 1625, 1509, 480, 1728, 16, 78, 318, 578, 7433, 67, 267, 67, 8849, 273, 890, 18, 20, 471, 1904, 67, 350, 480, 890, 411, 2121, 67, 529, 34, 294, 8959, 67, 14419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1904, 67, 350, 473, 5402, 67, 350, 473, 1509, 473, 7433, 67, 267, 67, 8849, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 8743, 16, 24877, 473, 890, 18, 21, 1736, 203, 21, 473, 576, 473, 404, 473, 17896, 16, 24877, 473, 404, 18, 28, 1736, 203, 22, 473, 890, 473, 576, 473, 17107, 16, 24877, 473, 576, 18, 28, 1736, 203, 23, 473, 1059, 473, 404, 473, 16486, 16, 438, 86, 330, 473, 890, 18, 22, 1736, 203, 24, 473, 1381, 473, 1059, 473, 8743, 16, 24877, 473, 404, 18, 21, 1736, 203, 25, 473, 1666, 473, 890, 473, 17107, 16, 24877, 473, 576, 18, 21, 1736, 203, 26, 473, 2371, 473, 890, 473, 1728, 16, 78, 318, 473, 404, 18, 29, 1736, 203, 27, 473, 1725, 473, 576, 473, 4648, 16, 24877, 473, 1059, 18, 22, 1736, 203, 28, 473, 2468, 473, 890, 473, 5958, 16, 24877, 473, 890, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 8959, 67, 14419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1904, 67, 350, 473, 5402, 67, 350, 473, 1509, 473, 7433, 67, 267, 67, 8849, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 8743, 16, 24877, 473, 890, 18, 21, 1736, 203, 21, 473, 576, 473, 404, 473, 17896, 16, 24877, 473, 404, 18, 28, 1736, 203, 22, 473, 890, 473, 576, 473, 17107, 16, 24877, 473, 576, 18, 28, 1736, 203, 23, 473, 1059, 473, 404, 473, 16486, 16, 438, 86, 330, 473, 890, 18, 22, 1736, 203, 24, 473, 1381, 473, 1059, 473, 8743, 16, 24877, 473, 404, 18, 21, 1736, 203, 25, 473, 1666, 473, 890, 473, 17107, 16, 24877, 473, 576, 18, 21, 1736, 203, 26, 473, 2371, 473, 890, 473, 1728, 16, 78, 318, 473, 404, 18, 29, 1736, 203, 27, 473, 1725, 473, 576, 473, 4648, 16, 24877, 473, 1059, 18, 22, 1736, 203, 28, 473, 2468, 473, 890, 473, 5958, 16, 24877, 473, 890, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1509, 473, 5402, 67, 350, 473, 1904, 67, 350, 473, 7433, 67, 267, 67, 8849, 1736, 203, 64, 13138, 5345, 203, 20, 473, 8743, 16, 24877, 473, 404, 473, 404, 473, 890, 18, 21, 1736, 203, 21, 473, 17896, 16, 24877, 473, 404, 473, 576, 473, 404, 18, 28, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 1056, 12, 88, 22, 18, 21982, 814, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 7140, 473, 2872, 29, 7677, 5558, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 3618, 67, 350, 16, 268, 22, 18, 3618, 67, 350, 628, 6978, 487, 268, 21, 1233, 20574, 487, 268, 22, 603, 268, 21, 18, 3618, 67, 350, 422, 268, 22, 18, 3618, 67, 350, 1041, 635, 2077, 7999, 6205, 411, 890, 9449, 18, 20, 578, 2077, 273, 6143, 744, 1165, 69, 578, 2633, 273, 314, 27076, 570, 82, 291, 578, 20574, 67, 712, 273, 312, 991, 4044, 27, 578, 8296, 1648, 2468, 18, 20, 471, 12855, 273, 272, 683, 6658, 28700, 471, 20574, 67, 350, 1545, 576, 411, 2121, 67, 529, 34, 294, 6978, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6978, 67, 350, 473, 2077, 473, 8296, 473, 2633, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 326, 7721, 24707, 473, 1666, 18, 20, 473, 1658, 10370, 93, 433, 6925, 1736, 203, 21, 473, 576, 473, 324, 383, 973, 312, 814, 473, 1059, 18, 20, 473, 314, 27076, 570, 82, 291, 1736, 203, 22, 473, 890, 473, 324, 383, 973, 312, 814, 473, 6555, 473, 6555, 1736, 203, 23, 473, 1059, 473, 20970, 21515, 92, 473, 1666, 18, 20, 473, 415, 530, 73, 884, 73, 1736, 203, 24, 473, 1381, 473, 6143, 744, 1165, 69, 473, 2593, 18, 20, 473, 3661, 1060, 462, 528, 15984, 1736, 203, 25, 473, 1666, 473, 8363, 1858, 1121, 473, 1059, 18, 20, 473, 4513, 376, 556, 1614, 366, 267, 94, 1736, 203, 26, 473, 2371, 473, 326, 302, 1742, 473, 6555, 473, 6555, 1736, 203, 27, 473, 1725, 473, 17474, 8767, 324, 383, 369, 473, 2468, 18, 20, 473, 4513, 376, 556, 1614, 366, 267, 94, 1736, 203, 28, 473, 2468, 473, 312, 1354, 69, 292, 7344, 280, 71, 975, 1807, 1778, 17488, 473, 2593, 18, 20, 473, 312, 1354, 69, 292, 7344, 280, 71, 975, 1736, 203, 29, 473, 1728, 473, 23901, 15304, 1807, 21983, 473, 1381, 18, 20, 473, 4513, 376, 556, 1614, 7344, 292, 749, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 20574, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 20574, 67, 350, 473, 6978, 67, 350, 473, 12855, 473, 20574, 67, 712, 473, 6205, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 293, 2091, 816, 473, 31350, 641, 4044, 28, 473, 4711, 9449, 18, 20, 1736, 203, 21, 473, 576, 473, 890, 473, 286, 362, 816, 283, 322, 414, 473, 312, 991, 4044, 28, 473, 1666, 9449, 18, 20, 1736, 203, 22, 473, 890, 473, 1059, 473, 341, 398, 93, 473, 525, 7556, 27212, 473, 20170, 11706, 18, 20, 1736, 203, 23, 473, 1059, 473, 1381, 473, 341, 398, 93, 473, 10844, 83, 744, 4044, 25, 473, 890, 9449, 18, 20, 1736, 203, 24, 473, 1381, 473, 2371, 473, 272, 683, 6658, 28700, 473, 31350, 641, 4044, 28, 473, 890, 9449, 18, 20, 1736, 203, 25, 473, 1666, 473, 2468, 473, 293, 2091, 816, 473, 312, 991, 4044, 27, 473, 576, 9449, 18, 20, 1736, 203, 26, 473, 2371, 473, 1728, 473, 324, 1051, 292, 4808, 1072, 473, 513, 86, 330, 4044, 27, 473, 576, 9449, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6978, 67, 350, 300, 21, 473, 6978, 67, 350, 300, 22, 1736, 203, 64, 13138, 5345, 203, 20, 473, 890, 473, 890, 1736, 203, 21, 473, 1381, 473, 1381, 1736, 203, 22, 473, 2468, 473, 2468, 1736, 203, 23, 473, 1728, 473, 1728, 1736, 203, 24, 473, 2371, 473, 2371, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3419, 67, 350, 628, 3419, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 273, 1728, 9136, 2027, 3419, 67, 350, 628, 18551, 1371, 67, 9274, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 480, 2371, 411, 2121, 67, 529, 34, 294, 3419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 473, 508, 473, 18285, 473, 6382, 67, 14240, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4834, 451, 359, 436, 6132, 473, 9626, 473, 366, 485, 31836, 473, 8063, 1736, 203, 21, 473, 576, 473, 302, 304, 5926, 387, 473, 2071, 473, 324, 546, 292, 473, 5196, 1736, 203, 22, 473, 890, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 9626, 473, 366, 485, 31836, 473, 17077, 1736, 203, 23, 473, 1059, 473, 7603, 292, 1721, 266, 473, 9626, 473, 366, 485, 31836, 473, 14856, 1736, 203, 24, 473, 1381, 473, 15272, 265, 6108, 908, 73, 473, 9626, 473, 366, 485, 31836, 473, 12292, 1736, 203, 25, 473, 1666, 473, 1675, 8082, 569, 31604, 473, 9626, 473, 366, 485, 31836, 473, 18106, 1736, 203, 26, 473, 2371, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 9626, 473, 366, 485, 31836, 473, 6580, 1736, 203, 27, 473, 1725, 473, 1658, 10370, 93, 8479, 1051, 473, 2071, 473, 10613, 4099, 473, 13191, 1736, 203, 28, 473, 2468, 473, 525, 2753, 721, 78, 345, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18012, 1736, 203, 29, 473, 1728, 473, 366, 275, 1176, 3157, 15833, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18091, 1736, 203, 2163, 473, 4648, 473, 1658, 5604, 816, 473, 9626, 473, 19720, 366, 485, 31836, 473, 6580, 1736, 203, 2499, 473, 2593, 473, 8244, 3674, 328, 2616, 275, 31317, 473, 9626, 473, 3161, 343, 7654, 473, 18106, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 67, 9274, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 3419, 67, 350, 473, 11387, 67, 20478, 473, 309, 67, 2854, 67, 957, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 2371, 473, 1725, 473, 268, 1736, 203, 22, 473, 890, 473, 1059, 473, 1666, 473, 268, 1736, 203, 23, 473, 2371, 473, 2468, 473, 576, 473, 268, 1736, 203, 24, 473, 1059, 473, 890, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1728, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 4408, 2415, 67, 350, 13, 628, 4791, 2415, 67, 14608, 87, 411, 2121, 67, 529, 34, 294, 4791, 2415, 67, 14608, 87, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4791, 2415, 67, 350, 473, 3017, 67, 4743, 473, 4791, 2415, 67, 529, 473, 4791, 2415, 67, 1937, 67, 712, 473, 4791, 2415, 67, 409, 67, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 284, 4773, 473, 584, 473, 14863, 17, 3103, 17, 3600, 21058, 30, 9401, 30, 4033, 473, 14863, 17, 4630, 17, 6840, 5045, 30, 7132, 30, 3462, 1736, 203, 21, 473, 576, 473, 927, 10370, 281, 473, 584, 473, 11015, 17, 5908, 17, 3461, 2593, 30, 6260, 30, 5082, 473, 14863, 17, 4630, 17, 3600, 8743, 30, 7677, 30, 2313, 1736, 203, 22, 473, 890, 473, 284, 4773, 473, 22572, 473, 11015, 17, 7677, 17, 2313, 4648, 30, 2643, 30, 7950, 473, 14863, 17, 4630, 17, 3437, 5045, 30, 9452, 30, 5558, 1736, 203, 23, 473, 1059, 473, 927, 10370, 281, 473, 584, 1121, 473, 11015, 17, 5908, 17, 5324, 17896, 30, 4763, 30, 7950, 473, 14863, 17, 4630, 17, 2643, 4648, 30, 5540, 30, 4313, 1736, 203, 24, 473, 1381, 473, 284, 4773, 473, 524, 473, 11015, 17, 6260, 17, 3462, 4200, 30, 6260, 30, 5908, 473, 14863, 17, 4630, 17, 3103, 9035, 30, 9803, 30, 8749, 1736, 203, 25, 473, 1666, 473, 927, 10370, 281, 473, 22572, 473, 11015, 17, 2163, 17, 4366, 15331, 30, 9803, 30, 7950, 473, 14863, 17, 4630, 17, 4630, 16314, 30, 1611, 30, 10321, 1736, 203, 26, 473, 2371, 473, 284, 4773, 473, 22572, 473, 11015, 17, 2499, 17, 2947, 17107, 30, 3461, 30, 2947, 473, 14863, 17, 4630, 17, 6260, 17107, 30, 6840, 30, 8875, 1736, 203, 27, 473, 1725, 473, 927, 10370, 281, 473, 524, 473, 11015, 17, 2163, 17, 3787, 16314, 30, 8749, 30, 5540, 473, 14863, 17, 4630, 17, 1611, 5958, 30, 9452, 30, 5908, 1736, 203, 28, 473, 2468, 473, 284, 4773, 473, 584, 473, 11015, 17, 2499, 17, 2138, 16314, 30, 5558, 30, 6840, 473, 14863, 17, 3103, 17, 5324, 10934, 30, 8204, 30, 3103, 1736, 203, 29, 473, 1728, 473, 927, 10370, 281, 473, 584, 1121, 473, 14863, 17, 1611, 17, 3461, 9035, 30, 4630, 30, 2163, 473, 14863, 17, 4630, 17, 3657, 5958, 30, 8642, 30, 3707, 1736, 203, 2163, 473, 4648, 473, 284, 4773, 473, 584, 473, 11015, 17, 2138, 17, 3437, 8743, 30, 7132, 30, 7677, 473, 14863, 17, 4630, 17, 3247, 17896, 30, 6260, 30, 5718, 1736, 203, 2499, 473, 2593, 473, 927, 10370, 281, 473, 584, 1121, 473, 14863, 17, 1611, 17, 3462, 15331, 30, 3787, 30, 5540, 473, 14863, 17, 4630, 17, 4366, 10934, 30, 8875, 30, 8749, 1736, 203, 2138, 473, 5958, 473, 284, 4773, 473, 524, 473, 11015, 17, 6260, 17, 6840, 9035, 30, 3461, 30, 9401, 473, 14863, 17, 4630, 17, 2138, 2593, 30, 7677, 30, 3361, 1736, 203, 3437, 473, 5045, 473, 927, 10370, 281, 473, 524, 473, 11015, 17, 7677, 17, 2499, 10213, 30, 3247, 30, 6938, 473, 14863, 17, 4630, 17, 4366, 17107, 30, 5718, 30, 7616, 1736, 203, 3461, 473, 4711, 473, 284, 4773, 473, 22572, 473, 11015, 17, 2499, 17, 5540, 9631, 30, 4313, 30, 4763, 473, 14863, 17, 4630, 17, 4033, 10934, 30, 6564, 30, 8749, 1736, 203, 3600, 473, 2872, 473, 927, 10370, 281, 473, 584, 473, 11015, 17, 2499, 17, 3103, 8043, 30, 5558, 30, 5082, 473, 14863, 17, 4630, 17, 3103, 8043, 30, 8642, 30, 3361, 1736, 203, 2313, 473, 8043, 473, 284, 4773, 473, 22572, 473, 14863, 17, 3103, 17, 3028, 5958, 30, 3437, 30, 5718, 473, 14863, 17, 3103, 17, 5558, 2872, 30, 2138, 30, 5082, 1736, 203, 4033, 473, 6549, 473, 927, 10370, 281, 473, 584, 1121, 473, 11015, 17, 2138, 17, 6840, 1728, 30, 3247, 30, 2138, 473, 14863, 17, 4630, 17, 3462, 4200, 30, 2163, 30, 2313, 1736, 203, 2643, 473, 5342, 473, 284, 4773, 473, 584, 473, 11015, 17, 7677, 17, 2947, 4648, 30, 8942, 30, 5908, 473, 14863, 17, 4630, 17, 3600, 4648, 30, 8204, 30, 9401, 1736, 203, 3657, 473, 4200, 473, 284, 4773, 473, 584, 473, 11015, 17, 2499, 17, 3600, 4711, 30, 8204, 30, 4033, 473, 14863, 17, 4630, 17, 3600, 13026, 30, 713, 30, 9462, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 4408, 2415, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 2163, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 613, 67, 4099, 67, 3384, 16, 6199, 67, 1330, 67, 350, 16, 6199, 67, 350, 16, 613, 67, 4099, 67, 904, 16, 6958, 67, 869, 67, 31096, 67, 350, 16, 1308, 67, 1330, 67, 6395, 16, 6199, 67, 2327, 67, 710, 16, 613, 67, 4099, 67, 712, 16, 6199, 67, 4743, 67, 710, 628, 6199, 67, 1330, 1625, 6958, 67, 869, 67, 31096, 67, 350, 405, 1666, 578, 1308, 67, 1330, 67, 6395, 480, 302, 471, 6199, 67, 350, 1648, 1728, 578, 613, 67, 4099, 67, 712, 480, 23673, 23, 17, 3028, 17, 3103, 4648, 30, 8642, 30, 5540, 471, 6199, 67, 2327, 67, 710, 273, 14010, 578, 6199, 67, 4743, 67, 710, 273, 13238, 9136, 2027, 613, 67, 4099, 67, 3384, 16, 6199, 67, 1330, 67, 350, 16, 6199, 67, 350, 16, 613, 67, 4099, 67, 904, 16, 6958, 67, 869, 67, 31096, 67, 350, 16, 1308, 67, 1330, 67, 6395, 16, 6199, 67, 2327, 67, 710, 16, 613, 67, 4099, 67, 712, 16, 6199, 67, 4743, 67, 710, 628, 6199, 67, 1330, 1625, 6199, 67, 4743, 67, 710, 480, 1150, 2451, 471, 613, 67, 4099, 67, 904, 273, 320, 578, 1308, 67, 1330, 67, 6395, 480, 302, 471, 613, 67, 4099, 67, 712, 273, 4044, 29, 17, 3028, 17, 2163, 5342, 30, 5908, 30, 5082, 411, 2121, 67, 529, 34, 294, 6199, 67, 1330, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6199, 67, 1330, 67, 350, 473, 6958, 67, 869, 67, 31096, 67, 350, 473, 6199, 67, 350, 473, 6199, 67, 4743, 67, 710, 473, 6199, 67, 2327, 67, 710, 473, 613, 67, 4099, 67, 712, 473, 613, 67, 4099, 67, 3384, 473, 613, 67, 4099, 67, 904, 473, 1308, 67, 1330, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4648, 473, 4648, 473, 5827, 473, 3704, 2155, 473, 27853, 17, 4630, 17, 3437, 5958, 30, 2499, 30, 10321, 473, 268, 473, 417, 473, 293, 1736, 203, 21, 473, 576, 473, 4648, 473, 1725, 473, 13238, 473, 3704, 2155, 473, 5342, 6669, 17, 4630, 17, 6938, 5045, 30, 4630, 30, 3103, 473, 279, 473, 417, 473, 272, 1736, 203, 22, 473, 890, 473, 2593, 473, 404, 473, 13238, 473, 3704, 2155, 473, 5342, 5608, 17, 2138, 17, 2499, 8743, 30, 7677, 30, 3787, 473, 324, 473, 525, 473, 425, 1736, 203, 23, 473, 1059, 473, 2593, 473, 2593, 473, 13238, 473, 14010, 473, 23673, 23, 17, 3028, 17, 3103, 4648, 30, 8642, 30, 5540, 473, 279, 473, 268, 473, 324, 1736, 203, 24, 473, 1381, 473, 1666, 473, 2593, 473, 5827, 473, 14010, 473, 5342, 6669, 17, 5908, 17, 4033, 21058, 30, 1611, 30, 2138, 473, 276, 473, 290, 473, 582, 1736, 203, 25, 473, 1666, 473, 576, 473, 5958, 473, 13238, 473, 3704, 2155, 473, 5342, 10261, 17, 8642, 17, 1611, 17896, 30, 2138, 30, 5718, 473, 366, 473, 314, 473, 290, 1736, 203, 26, 473, 2371, 473, 5958, 473, 404, 473, 1150, 2451, 473, 3704, 2155, 473, 5342, 5608, 17, 5908, 17, 3437, 9631, 30, 6418, 30, 5558, 473, 272, 473, 276, 473, 331, 1736, 203, 27, 473, 1725, 473, 1059, 473, 4711, 473, 1150, 2451, 473, 3704, 2155, 473, 404, 11984, 17, 6840, 17, 4033, 9631, 30, 713, 30, 2643, 473, 525, 473, 366, 473, 525, 1736, 203, 28, 473, 2468, 473, 1728, 473, 5958, 473, 13238, 473, 14010, 473, 23673, 23, 17, 7677, 17, 5340, 11201, 30, 3707, 30, 4763, 473, 293, 473, 277, 473, 284, 1736, 203, 29, 473, 1728, 473, 1666, 473, 404, 473, 5827, 473, 14010, 473, 4044, 21, 17, 6260, 17, 3461, 1728, 30, 4630, 30, 8643, 473, 302, 473, 619, 473, 302, 1736, 203, 2163, 473, 4648, 473, 404, 473, 1725, 473, 1150, 2451, 473, 3704, 2155, 473, 5342, 9036, 17, 4630, 17, 2138, 2872, 30, 5082, 30, 3361, 473, 341, 473, 417, 473, 279, 1736, 203, 2499, 473, 2593, 473, 1059, 473, 1728, 473, 5827, 473, 3704, 2155, 473, 23673, 27, 17, 6840, 17, 6938, 16314, 30, 3657, 30, 2138, 473, 276, 473, 677, 473, 276, 1736, 203, 2138, 473, 5958, 473, 1666, 473, 1728, 473, 5827, 473, 14010, 473, 4044, 29, 17, 3028, 17, 2163, 5342, 30, 5908, 30, 5082, 473, 1043, 473, 268, 473, 320, 1736, 203, 3437, 473, 5045, 473, 1725, 473, 1059, 473, 1150, 2451, 473, 14010, 473, 27853, 17, 2499, 17, 2138, 10213, 30, 5082, 30, 8643, 473, 279, 473, 272, 473, 276, 1736, 203, 3461, 473, 4711, 473, 1381, 473, 2371, 473, 13238, 473, 14010, 473, 5342, 11149, 17, 2499, 17, 4033, 13026, 30, 6260, 30, 9401, 473, 331, 473, 320, 473, 302, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 6199, 67, 1330, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6199, 67, 1330, 67, 350, 473, 6958, 67, 869, 67, 31096, 67, 350, 473, 6199, 67, 350, 473, 6199, 67, 4743, 67, 710, 473, 6199, 67, 2327, 67, 710, 473, 613, 67, 4099, 67, 712, 473, 613, 67, 4099, 67, 3384, 473, 613, 67, 4099, 67, 904, 473, 1308, 67, 1330, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4648, 473, 4648, 473, 5827, 473, 3704, 2155, 473, 27853, 17, 4630, 17, 3437, 5958, 30, 2499, 30, 10321, 473, 268, 473, 417, 473, 293, 1736, 203, 21, 473, 576, 473, 4648, 473, 1725, 473, 13238, 473, 3704, 2155, 473, 5342, 6669, 17, 4630, 17, 6938, 5045, 30, 4630, 30, 3103, 473, 279, 473, 417, 473, 272, 1736, 203, 22, 473, 890, 473, 2593, 473, 404, 473, 13238, 473, 3704, 2155, 473, 5342, 5608, 17, 2138, 17, 2499, 8743, 30, 7677, 30, 3787, 473, 324, 473, 525, 473, 425, 1736, 203, 23, 473, 1059, 473, 2593, 473, 2593, 473, 13238, 473, 14010, 473, 23673, 23, 17, 3028, 17, 3103, 4648, 30, 8642, 30, 5540, 473, 279, 473, 268, 473, 324, 1736, 203, 24, 473, 1381, 473, 1666, 473, 2593, 473, 5827, 473, 14010, 473, 5342, 6669, 17, 5908, 17, 4033, 21058, 30, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 613, 67, 4099, 67, 3384, 473, 6199, 67, 1330, 67, 350, 473, 6199, 67, 350, 473, 613, 67, 4099, 67, 904, 473, 6958, 67, 869, 67, 31096, 67, 350, 473, 1308, 67, 1330, 67, 6395, 473, 6199, 67, 2327, 67, 710, 473, 613, 67, 4099, 67, 712, 473, 6199, 67, 4743, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1043, 473, 5958, 473, 1728, 473, 268, 473, 1666, 473, 320, 473, 14010, 473, 4044, 29, 17, 3028, 17, 2163, 5342, 30, 5908, 30, 5082, 473, 5827, 1736, 203, 21, 473, 331, 473, 4711, 473, 2371, 473, 320, 473, 1381, 473, 302, 473, 14010, 473, 5342, 11149, 17, 2499, 17, 4033, 13026, 30, 6260, 30, 9401, 473, 13238, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 88, 21, 18, 6403, 3631, 268, 22, 18, 6731, 77, 628, 777, 67, 10983, 487, 268, 21, 1233, 27464, 1787, 67, 2767, 30321, 487, 268, 22, 603, 268, 21, 18, 10035, 67, 350, 273, 268, 22, 18, 10035, 67, 350, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 473, 5342, 3707, 473, 374, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 6403, 13, 473, 7138, 77, 1736, 203, 64, 13138, 5345, 203, 20, 473, 374, 18, 4700, 3461, 2138, 3247, 9401, 2787, 1611, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 16840, 67, 350, 3631, 268, 22, 18, 6874, 67, 20478, 628, 9395, 487, 268, 21, 1233, 801, 4120, 487, 268, 22, 603, 268, 21, 18, 16840, 67, 350, 273, 268, 22, 18, 16840, 67, 350, 1625, 13667, 67, 1132, 67, 267, 67, 17240, 285, 405, 26517, 18, 25, 578, 3286, 67, 20478, 1648, 1059, 471, 272, 5408, 67, 267, 67, 17240, 285, 273, 22684, 18, 24, 471, 910, 372, 297, 5432, 480, 290, 2437, 80, 5708, 471, 9214, 1282, 67, 267, 67, 17240, 285, 1648, 4200, 18, 21, 578, 1547, 407, 698, 273, 320, 330, 471, 16189, 578, 16951, 67, 350, 1545, 1059, 1041, 635, 508, 7999, 2142, 12, 9971, 67, 267, 67, 17240, 285, 13, 273, 890, 6938, 18, 21, 578, 16951, 67, 350, 405, 404, 411, 2121, 67, 529, 34, 294, 9395, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 9395, 67, 350, 473, 508, 473, 910, 372, 297, 5432, 473, 1547, 407, 698, 473, 272, 5408, 67, 267, 67, 17240, 285, 473, 9214, 1282, 67, 267, 67, 17240, 285, 473, 7176, 67, 267, 67, 17240, 285, 473, 13667, 67, 1132, 67, 267, 67, 17240, 285, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 18, 20, 473, 431, 92, 265, 81, 947, 330, 473, 584, 69, 473, 320, 330, 471, 16189, 473, 1059, 3707, 18, 25, 473, 20170, 18, 21, 473, 890, 6938, 18, 21, 473, 8063, 27, 18, 24, 1736, 203, 21, 473, 576, 18, 20, 473, 525, 7755, 22543, 462, 448, 473, 584, 69, 473, 11218, 310, 473, 20168, 18, 28, 473, 5342, 18, 20, 473, 576, 30281, 18, 28, 473, 404, 7301, 18, 21, 1736, 203, 22, 473, 890, 18, 20, 473, 7470, 17375, 1512, 473, 584, 69, 473, 356, 7043, 362, 12600, 473, 5045, 27, 18, 23, 473, 5045, 18, 22, 473, 2371, 4033, 18, 22, 473, 576, 3437, 18, 27, 1736, 203, 23, 473, 1059, 18, 20, 473, 721, 93, 287, 302, 322, 343, 5972, 473, 290, 2437, 80, 5708, 473, 320, 330, 471, 16189, 473, 1059, 7301, 18, 22, 473, 5196, 18, 29, 473, 890, 7132, 18, 25, 473, 576, 5324, 18, 26, 1736, 203, 24, 473, 1381, 18, 20, 473, 1547, 407, 17493, 471, 1543, 12610, 649, 11218, 434, 462, 15314, 473, 462, 15314, 473, 11218, 310, 473, 28024, 18, 26, 473, 6969, 18, 21, 473, 4200, 5520, 18, 21, 473, 576, 6418, 18, 24, 1736, 203, 25, 473, 1666, 18, 20, 473, 12670, 13459, 473, 27178, 473, 11218, 310, 473, 21822, 18, 20, 473, 2872, 18, 22, 473, 4561, 20, 18, 20, 473, 404, 1105, 18, 23, 1736, 203, 26, 473, 2371, 18, 20, 473, 293, 278, 303, 343, 15314, 473, 462, 15314, 473, 320, 330, 471, 16189, 473, 890, 2163, 18, 21, 473, 4200, 18, 26, 473, 27499, 18, 27, 473, 576, 11290, 18, 27, 1736, 203, 27, 473, 1725, 18, 20, 473, 27965, 79, 674, 577, 366, 421, 26718, 473, 584, 69, 473, 356, 7043, 362, 12600, 473, 5045, 23, 18, 27, 473, 1728, 18, 23, 473, 890, 9975, 18, 26, 473, 26599, 18, 22, 1736, 203, 28, 473, 2468, 18, 20, 473, 5492, 87, 284, 26999, 473, 584, 69, 473, 11218, 310, 473, 1725, 27, 18, 26, 473, 4711, 18, 29, 473, 5958, 3437, 18, 29, 473, 8043, 28, 18, 27, 1736, 203, 29, 473, 1728, 18, 20, 473, 293, 278, 303, 2848, 345, 473, 16430, 94, 330, 473, 320, 330, 471, 16189, 473, 5045, 25, 18, 29, 473, 4200, 18, 21, 473, 890, 3657, 18, 24, 473, 9259, 18, 20, 1736, 203, 2163, 473, 4648, 18, 20, 473, 9107, 473, 27178, 473, 320, 330, 471, 16189, 473, 890, 5877, 18, 25, 473, 6969, 18, 27, 473, 576, 9975, 18, 25, 473, 5045, 27, 18, 24, 1736, 203, 2499, 473, 2593, 18, 20, 473, 462, 14965, 1949, 473, 584, 69, 473, 320, 330, 471, 16189, 473, 576, 5718, 18, 23, 473, 10659, 18, 29, 473, 4200, 29, 18, 25, 473, 576, 2643, 18, 20, 1736, 203, 2138, 473, 5958, 18, 20, 473, 462, 15314, 16171, 11218, 473, 462, 15314, 473, 11218, 310, 473, 23797, 18, 27, 473, 4200, 18, 25, 473, 2872, 6418, 18, 28, 473, 3786, 18, 29, 1736, 203, 3437, 473, 5045, 18, 20, 473, 276, 305, 360, 656, 473, 584, 69, 473, 11218, 310, 473, 21822, 18, 26, 473, 4648, 18, 21, 473, 6549, 9036, 18, 29, 473, 1728, 27, 18, 25, 1736, 203, 3461, 473, 4711, 18, 20, 473, 314, 1561, 17401, 473, 436, 5567, 1155, 473, 320, 330, 471, 16189, 473, 27894, 18, 26, 473, 8231, 18, 27, 473, 22072, 18, 26, 473, 4711, 29, 18, 28, 1736, 203, 3600, 473, 2872, 18, 20, 473, 341, 18811, 485, 473, 584, 69, 473, 325, 671, 310, 473, 1059, 9462, 18, 20, 473, 4711, 18, 27, 473, 5342, 23, 18, 24, 473, 4200, 28, 18, 24, 1736, 203, 2313, 473, 8043, 18, 20, 473, 6626, 79, 5328, 346, 275, 1041, 473, 314, 1035, 2273, 473, 18472, 352, 688, 473, 576, 5340, 18, 29, 473, 9035, 18, 25, 473, 3847, 28, 18, 27, 473, 26517, 18, 25, 1736, 203, 4033, 473, 6549, 18, 20, 473, 2078, 473, 3812, 1359, 473, 320, 330, 471, 16189, 473, 576, 2313, 18, 22, 473, 4711, 18, 29, 473, 576, 3437, 18, 20, 473, 29805, 18, 24, 1736, 203, 2643, 473, 5342, 18, 20, 473, 1737, 1512, 406, 3766, 11218, 434, 462, 15314, 473, 462, 15314, 473, 11218, 310, 473, 22684, 18, 24, 473, 5045, 18, 24, 473, 404, 4313, 23, 18, 29, 473, 4711, 24, 18, 28, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 801, 4120, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 9395, 67, 350, 473, 16951, 67, 350, 473, 3286, 67, 20478, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4648, 473, 890, 473, 576, 1736, 203, 21, 473, 5958, 473, 576, 473, 890, 1736, 203, 22, 473, 8043, 473, 2371, 473, 1059, 1736, 203, 23, 473, 4711, 473, 404, 473, 404, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 16840, 67, 350, 13, 473, 3286, 67, 20478, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4648, 473, 576, 1736, 203, 21, 473, 5958, 473, 890, 1736, 203, 22, 473, 2371, 473, 404, 1736, 203, 23, 473, 8043, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 16174, 67, 350, 628, 29380, 1041, 635, 1509, 67, 2722, 67, 76, 577, 411, 2121, 67, 529, 34, 294, 29380, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 350, 473, 16174, 67, 350, 473, 7494, 67, 280, 67, 8759, 67, 10061, 473, 1122, 67, 529, 473, 1142, 67, 529, 473, 18578, 67, 16126, 473, 1509, 67, 70, 557, 339, 67, 10061, 473, 1509, 67, 2722, 67, 76, 577, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 2593, 473, 7494, 473, 8244, 1527, 2273, 473, 13995, 275, 1200, 473, 374, 473, 11015, 17, 2163, 17, 3462, 2593, 30, 3437, 30, 4033, 473, 14863, 17, 3103, 17, 5324, 6549, 30, 2539, 30, 5558, 1736, 203, 21, 473, 576, 473, 5045, 473, 7494, 473, 525, 671, 878, 473, 314, 264, 80, 497, 473, 374, 473, 12461, 17, 3028, 17, 7677, 9035, 30, 2643, 30, 6418, 473, 14863, 17, 1611, 17, 5082, 16486, 30, 9462, 30, 3437, 1736, 203, 22, 473, 890, 473, 2371, 473, 7494, 473, 721, 21982, 1340, 473, 417, 403, 749, 473, 374, 473, 12659, 17, 3103, 17, 4630, 2872, 30, 8204, 30, 2499, 473, 14863, 17, 4630, 17, 3028, 9035, 30, 5082, 30, 4366, 1736, 203, 23, 473, 1059, 473, 2593, 473, 5570, 473, 283, 12124, 473, 20138, 10992, 473, 404, 473, 12659, 17, 7677, 17, 4033, 5045, 30, 2499, 30, 3361, 473, 14863, 17, 3103, 17, 3657, 13026, 30, 3028, 30, 1611, 1736, 203, 24, 473, 1381, 473, 1728, 473, 7494, 473, 6445, 1200, 69, 473, 10004, 76, 4397, 473, 374, 473, 12659, 17, 6840, 17, 2499, 8743, 30, 3361, 30, 6418, 473, 14863, 17, 3103, 17, 2947, 16486, 30, 7132, 30, 3600, 1736, 203, 25, 473, 1666, 473, 5045, 473, 5570, 473, 324, 1691, 588, 473, 392, 79, 14351, 473, 404, 473, 12461, 17, 3028, 17, 3247, 17896, 30, 7414, 30, 2313, 473, 14863, 17, 3103, 17, 2163, 5342, 30, 6334, 30, 6840, 1736, 203, 26, 473, 2371, 473, 2593, 473, 7494, 473, 21282, 330, 1395, 473, 384, 6973, 267, 473, 404, 473, 12461, 17, 2138, 17, 2313, 16314, 30, 6260, 30, 8643, 473, 14863, 17, 3103, 17, 1611, 2872, 30, 8875, 30, 5082, 1736, 203, 27, 473, 1725, 473, 1666, 473, 7494, 473, 415, 267, 479, 473, 9998, 69, 473, 374, 473, 11015, 17, 8642, 17, 5324, 16314, 30, 3028, 30, 3787, 473, 14863, 17, 4630, 17, 3028, 16314, 30, 6162, 30, 7132, 1736, 203, 28, 473, 2468, 473, 2371, 473, 7494, 473, 314, 29650, 473, 12720, 473, 404, 473, 11015, 17, 3103, 17, 6030, 5045, 30, 7132, 30, 2947, 473, 14863, 17, 4630, 17, 3437, 9035, 30, 3462, 30, 6260, 1736, 203, 29, 473, 1728, 473, 404, 473, 5570, 473, 328, 528, 4644, 473, 268, 21938, 473, 404, 473, 12461, 17, 6260, 17, 6260, 4200, 30, 5540, 30, 1611, 473, 14863, 17, 3103, 17, 3028, 16314, 30, 4313, 30, 2539, 1736, 203, 2163, 473, 4648, 473, 1728, 473, 7494, 473, 30547, 330, 2779, 473, 312, 295, 844, 93, 473, 374, 473, 12461, 17, 8642, 17, 5340, 21058, 30, 3247, 30, 10321, 473, 14863, 17, 4630, 17, 2138, 21058, 30, 4366, 30, 9803, 1736, 203, 2499, 473, 2593, 473, 4648, 473, 7494, 473, 1924, 75, 1385, 473, 11562, 355, 345, 473, 374, 473, 12659, 17, 3103, 17, 4630, 1728, 30, 6938, 30, 2643, 473, 14863, 17, 4630, 17, 4630, 10213, 30, 6418, 30, 6938, 1736, 203, 2138, 473, 5958, 473, 576, 473, 7494, 473, 7125, 22498, 473, 17565, 4491, 473, 404, 473, 11015, 17, 4630, 17, 2643, 16486, 30, 6418, 30, 6162, 473, 14863, 17, 4630, 17, 2643, 8043, 30, 4763, 30, 8942, 1736, 203, 3437, 473, 5045, 473, 1666, 473, 7494, 473, 13806, 749, 473, 324, 266, 305, 275, 31317, 473, 404, 473, 12659, 17, 3028, 17, 3462, 9035, 30, 3028, 30, 4763, 473, 14863, 17, 4630, 17, 4630, 5958, 30, 8749, 30, 7414, 1736, 203, 3461, 473, 4711, 473, 890, 473, 5570, 473, 525, 301, 481, 473, 18551, 303, 329, 264, 473, 404, 473, 12659, 17, 6260, 17, 2947, 8743, 30, 2138, 30, 7616, 473, 14863, 17, 3103, 17, 3247, 4648, 30, 3600, 30, 5540, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 16174, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5045, 1736, 203, 21, 473, 2593, 1736, 203, 22, 473, 404, 1736, 203, 23, 473, 5045, 1736, 203, 24, 473, 2593, 1736, 203, 25, 473, 890, 1736, 203, 26, 473, 1728, 1736, 203, 27, 473, 2593, 1736, 203, 28, 473, 1666, 1736, 203, 29, 473, 4648, 1736, 203, 2163, 473, 1666, 1736, 203, 2499, 473, 2371, 1736, 203, 2138, 473, 1728, 1736, 203, 3437, 473, 2371, 1736, 203, 3461, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 22531, 67, 6874, 3631, 268, 22, 18, 8766, 395, 67, 3276, 628, 4864, 264, 487, 268, 21, 1233, 17180, 487, 268, 22, 603, 268, 21, 18, 2470, 264, 67, 350, 273, 268, 22, 18, 2470, 264, 67, 350, 1625, 276, 305, 452, 275, 3261, 480, 2836, 329, 5493, 578, 9742, 67, 3276, 411, 404, 18, 20, 578, 2901, 67, 91, 7825, 67, 81, 737, 1115, 273, 8043, 18, 28, 578, 17057, 67, 6874, 1545, 5342, 8898, 18, 20, 578, 272, 5408, 480, 576, 9498, 3784, 18, 20, 578, 2077, 273, 284, 636, 79, 518, 261, 77, 2727, 1404, 2545, 1846, 1473, 13, 578, 508, 273, 314, 15314, 436, 558, 76, 485, 1041, 635, 276, 305, 452, 275, 3261, 7999, 17180, 67, 350, 1545, 404, 578, 276, 305, 452, 275, 3261, 273, 2836, 329, 5493, 471, 2077, 480, 677, 73, 9795, 471, 508, 273, 314, 15314, 436, 558, 76, 485, 578, 2901, 67, 91, 7825, 67, 81, 737, 1115, 405, 8043, 18, 20, 471, 17057, 67, 6874, 405, 5342, 8643, 18, 20, 578, 9742, 67, 3276, 1648, 404, 18, 20, 578, 272, 5408, 273, 576, 5877, 3784, 18, 20, 411, 2121, 67, 529, 34, 294, 4864, 264, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4864, 264, 67, 350, 473, 508, 473, 17057, 67, 6874, 473, 2901, 67, 91, 7825, 67, 81, 737, 1115, 473, 276, 305, 452, 275, 3261, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 328, 330, 2779, 73, 2701, 88, 1331, 477, 88, 473, 5342, 6334, 18, 20, 473, 5196, 18, 20, 473, 3812, 1359, 1736, 203, 21, 473, 576, 473, 4513, 376, 93, 29051, 1917, 473, 5342, 8875, 18, 20, 473, 9131, 18, 28, 473, 2836, 329, 5493, 1736, 203, 22, 473, 890, 473, 524, 1812, 29051, 1917, 473, 5342, 7616, 18, 20, 473, 10659, 18, 23, 473, 2836, 329, 5493, 1736, 203, 23, 473, 1059, 473, 9482, 291, 3512, 18688, 69, 473, 5342, 9452, 18, 20, 473, 8043, 18, 24, 473, 462, 398, 1736, 203, 24, 473, 1381, 473, 20138, 372, 3027, 312, 5913, 473, 5342, 7132, 18, 20, 473, 8043, 18, 28, 473, 2836, 329, 5493, 1736, 203, 25, 473, 1666, 473, 314, 15314, 436, 558, 76, 485, 473, 5342, 8643, 18, 20, 473, 8043, 18, 20, 473, 279, 27008, 287, 1155, 1736, 203, 26, 473, 2371, 473, 11375, 1072, 73, 417, 4801, 2253, 473, 5342, 8898, 18, 20, 473, 5045, 18, 23, 473, 314, 1035, 2273, 1736, 203, 27, 473, 1725, 473, 1223, 360, 671, 525, 22223, 816, 473, 5342, 9498, 18, 20, 473, 2593, 18, 27, 473, 2836, 329, 5493, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 17180, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17180, 67, 350, 473, 2077, 473, 4864, 264, 67, 350, 473, 272, 5408, 473, 9742, 67, 3276, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 741, 2898, 5055, 518, 1807, 4513, 376, 15260, 473, 404, 473, 1728, 11290, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 21, 473, 576, 473, 284, 636, 79, 518, 261, 77, 2727, 1404, 2545, 1846, 1473, 13, 473, 404, 473, 21483, 3247, 8642, 18, 20, 473, 404, 18, 20, 1736, 203, 22, 473, 890, 473, 462, 69, 462, 69, 12701, 473, 576, 473, 13191, 3461, 5340, 18, 20, 473, 404, 18, 20, 1736, 203, 23, 473, 1059, 473, 745, 603, 1791, 473, 1059, 473, 890, 4763, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 24, 473, 1381, 473, 677, 73, 9795, 473, 576, 473, 890, 11706, 18, 20, 473, 404, 18, 20, 1736, 203, 25, 473, 1666, 473, 777, 333, 813, 473, 1666, 473, 576, 9975, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 26, 473, 2371, 473, 2002, 8220, 24068, 473, 1381, 473, 576, 5877, 3784, 18, 20, 473, 890, 18, 20, 1736, 203, 27, 473, 1725, 473, 312, 1094, 264, 22774, 314, 481, 80, 473, 2371, 473, 576, 9498, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 22531, 67, 6874, 13, 473, 9742, 67, 3276, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 8643, 473, 404, 1736, 203, 21, 473, 5342, 9452, 473, 404, 1736, 203, 22, 473, 5342, 6334, 473, 404, 1736, 203, 23, 473, 5342, 8898, 473, 404, 1736, 203, 24, 473, 5342, 7132, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 410, 3631, 268, 22, 18, 22644, 67, 350, 628, 4858, 487, 268, 21, 1233, 13001, 67, 7371, 22579, 487, 268, 22, 603, 268, 21, 18, 9177, 67, 350, 273, 268, 22, 18, 9177, 67, 350, 1625, 1440, 67, 723, 273, 10701, 471, 1056, 12, 410, 13, 273, 13438, 18, 20, 578, 508, 480, 392, 6582, 7602, 2453, 11939, 411, 2121, 67, 529, 34, 294, 4858, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4858, 67, 350, 473, 508, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 417, 11580, 69, 22471, 71, 21832, 79, 473, 13438, 18, 20, 1736, 203, 21, 473, 576, 473, 392, 6582, 7602, 2453, 11939, 473, 13191, 18, 20, 1736, 203, 22, 473, 890, 473, 312, 834, 79, 7533, 1100, 2942, 473, 9035, 18, 20, 1736, 203, 23, 473, 1059, 473, 293, 1594, 313, 846, 132, 102, 131, 252, 75, 543, 7771, 77, 473, 21193, 18, 20, 1736, 203, 24, 473, 1381, 473, 11262, 93, 2586, 341, 93, 27224, 473, 4200, 18, 20, 1736, 203, 25, 473, 1666, 473, 341, 132, 103, 131, 229, 361, 1900, 132, 103, 131, 229, 2219, 3821, 21832, 91, 6582, 473, 4248, 18, 20, 1736, 203, 26, 473, 2371, 473, 21282, 8384, 94, 998, 5349, 2924, 15299, 473, 6969, 18, 20, 1736, 203, 27, 473, 1725, 473, 3087, 132, 103, 131, 125, 23041, 341, 3528, 94, 71, 94, 581, 473, 22431, 18, 20, 1736, 203, 28, 473, 2468, 473, 312, 15240, 314, 132, 101, 131, 116, 23811, 71, 21832, 79, 473, 18012, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 13001, 67, 7371, 22579, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4858, 67, 350, 473, 13001, 67, 350, 473, 1440, 67, 723, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 5958, 473, 10701, 1736, 203, 21, 473, 1725, 473, 8043, 473, 7559, 1736, 203, 22, 473, 1666, 473, 4648, 473, 10701, 1736, 203, 23, 473, 1059, 473, 576, 473, 7559, 1736, 203, 24, 473, 890, 473, 1666, 473, 2077, 1736, 203, 25, 473, 2468, 473, 2593, 473, 10701, 1736, 203, 26, 473, 1725, 473, 1059, 473, 10701, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 410, 13, 473, 13001, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 473, 5958, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 384, 1911, 16, 7324, 628, 14905, 1259, 67, 267, 1625, 384, 1911, 1648, 1728, 5324, 578, 7504, 480, 14707, 18, 23, 3600, 578, 7324, 273, 279, 1335, 2027, 384, 1911, 16, 7324, 628, 14905, 1259, 67, 267, 1625, 7504, 480, 14707, 18, 23, 3600, 471, 384, 1911, 480, 1728, 3787, 471, 7324, 480, 324, 17, 411, 2121, 67, 529, 34, 294, 14905, 1259, 67, 267, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 7504, 473, 7324, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 21, 473, 1381, 3361, 18, 9470, 21, 473, 279, 17, 1736, 203, 21, 473, 2130, 21, 473, 14707, 18, 23, 4630, 473, 324, 1736, 203, 22, 473, 2130, 21, 473, 14707, 18, 23, 3600, 473, 324, 15, 1736, 203, 23, 473, 2130, 21, 473, 14707, 18, 3707, 27, 473, 279, 1736, 203, 24, 473, 2130, 21, 473, 14707, 18, 8749, 21, 473, 324, 17, 1736, 203, 25, 473, 2130, 21, 473, 14707, 18, 8749, 25, 473, 324, 1736, 203, 26, 473, 2130, 22, 473, 1381, 3462, 18, 22, 3437, 473, 324, 15, 1736, 203, 27, 473, 2130, 22, 473, 14707, 18, 22, 2499, 473, 276, 1736, 203, 28, 473, 2130, 22, 473, 14707, 18, 23, 4630, 473, 276, 15, 1736, 203, 29, 473, 2130, 22, 473, 14707, 18, 3707, 27, 473, 279, 1736, 203, 2163, 473, 2130, 22, 473, 14707, 18, 24, 4449, 473, 324, 1736, 203, 2499, 473, 2130, 22, 473, 14707, 18, 8749, 25, 473, 324, 15, 1736, 203, 2138, 473, 2130, 23, 473, 14707, 18, 3707, 23, 473, 324, 1736, 203, 3437, 473, 2130, 23, 473, 14707, 18, 3707, 27, 473, 324, 1736, 203, 3461, 473, 2130, 23, 473, 14707, 18, 24, 3600, 473, 324, 1736, 203, 3600, 473, 2130, 23, 473, 14707, 18, 8749, 21, 473, 324, 15, 1736, 203, 2313, 473, 2130, 23, 473, 14707, 18, 8749, 25, 473, 324, 1736, 203, 4033, 473, 2130, 24, 473, 14707, 18, 23, 4630, 473, 276, 17, 1736, 203, 2643, 473, 2130, 24, 473, 14707, 18, 24, 3600, 473, 276, 17, 1736, 203, 3657, 473, 2130, 24, 473, 14707, 18, 24, 6418, 473, 276, 17, 1736, 203, 3462, 473, 2130, 24, 473, 14707, 18, 6334, 25, 473, 279, 17, 1736, 203, 5340, 473, 2130, 24, 473, 14707, 18, 8749, 21, 473, 276, 1736, 203, 3787, 473, 2130, 24, 473, 14707, 18, 24, 4449, 473, 279, 15, 1736, 203, 4366, 473, 2130, 24, 473, 14707, 18, 8749, 25, 473, 279, 1736, 203, 3247, 473, 2130, 25, 473, 14707, 18, 23494, 473, 279, 1736, 203, 2947, 473, 2130, 25, 473, 14707, 18, 23054, 473, 276, 15, 1736, 203, 5558, 473, 2130, 25, 473, 14707, 18, 23379, 473, 276, 1736, 203, 5324, 473, 2130, 25, 473, 14707, 18, 3787, 27, 473, 279, 1736, 203, 6030, 473, 2130, 25, 473, 14707, 18, 23, 4630, 473, 324, 1736, 203, 5540, 473, 2130, 26, 473, 1381, 3361, 18, 24, 3462, 473, 324, 1736, 203, 5082, 473, 2130, 26, 473, 14707, 18, 23054, 473, 324, 15, 1736, 203, 6938, 473, 2130, 26, 473, 14707, 18, 3787, 27, 473, 324, 17, 1736, 203, 1578, 473, 2130, 26, 473, 14707, 18, 22, 1578, 473, 276, 17, 1736, 203, 3707, 473, 2130, 26, 473, 14707, 18, 23, 4630, 473, 279, 17, 1736, 203, 5026, 473, 2130, 26, 473, 14707, 18, 23, 3600, 473, 279, 1736, 203, 4763, 473, 2130, 27, 473, 1381, 3361, 18, 24, 3462, 473, 279, 1736, 203, 5718, 473, 2130, 27, 473, 14707, 18, 23379, 473, 279, 17, 1736, 203, 6418, 473, 2130, 27, 473, 14707, 18, 3787, 27, 473, 276, 15, 1736, 203, 7414, 473, 2130, 27, 473, 14707, 18, 23, 3600, 473, 279, 1736, 203, 5520, 473, 2130, 27, 473, 14707, 18, 3707, 23, 473, 279, 17, 1736, 203, 7132, 473, 2130, 27, 473, 14707, 18, 3707, 27, 473, 276, 1736, 203, 9803, 473, 2130, 28, 473, 14707, 18, 24, 3600, 473, 279, 15, 1736, 203, 9452, 473, 2130, 28, 473, 14707, 18, 24, 4449, 473, 324, 1736, 203, 8942, 473, 2130, 28, 473, 14707, 18, 8749, 25, 473, 324, 1736, 203, 6334, 473, 2130, 28, 473, 14707, 18, 9222, 27, 473, 324, 1736, 203, 7950, 473, 2130, 28, 473, 14707, 18, 8285, 27, 473, 324, 1736, 203, 8749, 473, 2130, 29, 473, 1381, 3361, 18, 24, 3437, 473, 324, 15, 1736, 203, 9462, 473, 2130, 29, 473, 1381, 3361, 18, 9462, 21, 473, 276, 1736, 203, 8875, 473, 2130, 29, 473, 1381, 3361, 18, 26, 3462, 473, 279, 17, 1736, 203, 7616, 473, 2130, 29, 473, 1381, 3361, 18, 26, 5558, 473, 324, 1736, 203, 3361, 473, 2130, 29, 473, 1381, 3361, 18, 9599, 21, 473, 276, 1736, 203, 10593, 473, 2130, 29, 473, 1381, 3361, 18, 9470, 21, 473, 279, 1736, 203, 9401, 473, 2130, 29, 473, 1381, 3361, 18, 6028, 21, 473, 324, 17, 1736, 203, 8643, 473, 2130, 29, 473, 1381, 3361, 18, 4449, 21, 473, 279, 17, 1736, 203, 6564, 473, 13822, 20, 473, 1381, 3361, 18, 5540, 21, 473, 279, 1736, 203, 2539, 473, 13822, 20, 473, 1381, 3361, 18, 23, 2163, 473, 279, 1736, 203, 4313, 473, 13822, 20, 473, 1381, 3361, 18, 24, 3437, 473, 276, 15, 1736, 203, 10321, 473, 13822, 20, 473, 1381, 3361, 18, 24, 3462, 473, 279, 1736, 203, 8204, 473, 13822, 20, 473, 1381, 3361, 18, 9462, 21, 473, 279, 1736, 203, 6162, 473, 13822, 20, 473, 14707, 18, 23054, 473, 324, 15, 1736, 203, 4848, 473, 13822, 21, 473, 1381, 3462, 18, 22, 3437, 473, 324, 1736, 203, 9498, 473, 13822, 21, 473, 1381, 3462, 18, 25574, 473, 324, 1736, 203, 8898, 473, 13822, 21, 473, 1381, 3462, 18, 5026, 29, 473, 279, 1736, 203, 4449, 473, 13822, 21, 473, 1381, 3462, 18, 4763, 23, 473, 279, 17, 1736, 203, 1105, 473, 13822, 21, 473, 1381, 3361, 18, 24, 3462, 473, 324, 1736, 203, 9222, 473, 13822, 21, 473, 14707, 18, 24, 3600, 473, 324, 15, 1736, 203, 6028, 473, 13822, 22, 473, 374, 3361, 18, 22267, 473, 324, 17, 1736, 203, 9599, 473, 13822, 22, 473, 374, 3361, 18, 3462, 23, 473, 324, 17, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 7324, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 21, 473, 324, 15, 1736, 203, 21, 473, 2130, 21, 473, 324, 17, 1736, 203, 22, 473, 2130, 26, 473, 279, 1736, 203, 23, 473, 2130, 26, 473, 324, 17, 1736, 203, 24, 473, 2130, 29, 473, 324, 17, 1736, 203, 25, 473, 13822, 22, 473, 324, 1736, 203, 26, 473, 13822, 22, 473, 324, 17, 1736, 203, 27, 473, 13822, 24, 473, 279, 15, 1736, 203, 28, 473, 13822, 25, 473, 276, 17, 1736, 203, 29, 473, 13822, 26, 473, 324, 17, 1736, 203, 2163, 473, 1728, 5340, 473, 324, 17, 1736, 203, 2499, 473, 1728, 3787, 473, 279, 1736, 203, 2138, 473, 1728, 3787, 473, 324, 1736, 203, 3437, 473, 1728, 3787, 473, 324, 15, 1736, 203, 3461, 473, 1728, 3787, 473, 302, 1736, 203, 3600, 473, 1728, 5558, 473, 324, 17, 1736, 203, 2313, 473, 1728, 5324, 473, 324, 17, 1736, 203, 4033, 473, 1728, 5540, 473, 324, 17, 1736, 203, 2643, 473, 1728, 5082, 473, 324, 17, 1736, 203, 3657, 473, 1728, 4763, 473, 324, 17, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 2867, 67, 350, 13, 628, 6138, 411, 2121, 67, 529, 34, 294, 6138, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1758, 67, 350, 473, 980, 67, 21, 473, 980, 67, 22, 473, 12797, 473, 3144, 67, 2767, 710, 473, 919, 67, 25529, 2410, 67, 1883, 93, 473, 5251, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 473, 21058, 713, 721, 765, 1200, 320, 1125, 203, 2704, 524, 4757, 69, 16, 27098, 5342, 6976, 17, 7235, 3461, 473, 11371, 374, 10525, 473, 4739, 4644, 287, 464, 473, 1725, 8898, 473, 312, 1580, 13848, 473, 584, 69, 1736, 203, 21, 473, 2468, 473, 2468, 6028, 302, 497, 9048, 279, 337, 18, 890, 3787, 203, 80, 911, 17895, 2586, 93, 76, 7638, 16, 14162, 15892, 30803, 473, 279, 337, 18, 2872, 23, 473, 24516, 1131, 82, 1385, 473, 2371, 2313, 473, 16573, 345, 473, 584, 69, 1736, 203, 22, 473, 12899, 473, 9131, 2539, 20, 23670, 765, 1200, 3613, 5466, 11371, 1666, 9599, 203, 94, 581, 814, 76, 7638, 16, 341, 93, 576, 5540, 7950, 17, 3600, 5026, 473, 279, 337, 18, 1059, 3657, 473, 21435, 775, 541, 70, 280, 4966, 473, 23543, 473, 331, 1035, 1580, 473, 584, 69, 1736, 203, 23, 473, 5196, 473, 1725, 6418, 7677, 392, 69, 16301, 1888, 279, 337, 18, 2468, 9975, 203, 31092, 7334, 1349, 16, 12837, 374, 2499, 2138, 473, 279, 337, 18, 1725, 5193, 473, 328, 911, 417, 287, 402, 473, 1059, 6938, 473, 341, 961, 310, 1917, 473, 584, 69, 1736, 203, 24, 473, 21193, 473, 20963, 28275, 23795, 4098, 13282, 203, 29476, 2031, 334, 361, 16, 4086, 1381, 10593, 1105, 473, 11371, 890, 3707, 473, 18654, 10499, 77, 351, 15347, 473, 1381, 6162, 473, 8039, 497, 407, 278, 3428, 473, 584, 69, 1736, 203, 25, 473, 12292, 473, 4248, 22, 293, 24363, 8838, 384, 266, 2413, 203, 30318, 353, 873, 80, 961, 577, 16, 5346, 17107, 3361, 26, 473, 11371, 890, 7301, 473, 320, 11, 4646, 1165, 1945, 473, 1381, 3461, 473, 394, 81, 338, 10764, 473, 584, 69, 1736, 203, 26, 473, 21483, 473, 1725, 1611, 681, 395, 83, 353, 15733, 11371, 5196, 26, 203, 80, 3505, 90, 14120, 16, 7966, 890, 7132, 6162, 473, 11371, 2371, 1105, 473, 394, 524, 2351, 473, 404, 6669, 473, 12543, 1054, 625, 7259, 473, 584, 69, 1736, 203, 27, 473, 13746, 473, 374, 29882, 284, 31721, 302, 301, 203, 744, 15834, 414, 76, 577, 16, 11654, 20546, 7414, 17, 5877, 5608, 473, 279, 337, 18, 2468, 4630, 473, 24516, 12519, 275, 304, 473, 1666, 3437, 473, 312, 1354, 360, 304, 473, 584, 69, 1736, 203, 28, 473, 23797, 473, 21058, 9462, 21, 366, 1200, 298, 9052, 203, 655, 943, 494, 16, 290, 78, 2468, 23643, 20, 17, 6564, 5908, 473, 11371, 2468, 4630, 473, 366, 1072, 69, 4487, 831, 473, 890, 6564, 473, 3077, 335, 322, 473, 584, 69, 1736, 203, 29, 473, 26103, 473, 1666, 8285, 6938, 328, 842, 265, 4644, 328, 369, 908, 203, 355, 816, 13401, 16, 6744, 4200, 6675, 24, 473, 279, 337, 18, 2371, 4313, 473, 524, 3128, 76, 577, 473, 1666, 11035, 473, 394, 81, 338, 10764, 473, 584, 69, 1736, 203, 2163, 473, 28024, 473, 576, 6030, 284, 9795, 402, 19193, 203, 12124, 398, 2942, 15347, 16, 1183, 13026, 5540, 27, 17, 4313, 7677, 473, 11371, 374, 11035, 473, 24516, 9583, 362, 495, 22498, 473, 374, 7235, 473, 29797, 1594, 473, 584, 69, 1736, 203, 2499, 473, 24153, 473, 404, 4700, 20, 1261, 566, 292, 436, 931, 279, 337, 18, 890, 10580, 203, 31092, 487, 76, 715, 9074, 343, 7654, 16, 5218, 2468, 3657, 9470, 473, 279, 337, 18, 1666, 4033, 473, 19720, 268, 1629, 455, 70, 295, 17680, 473, 404, 7235, 473, 24516, 72, 581, 25441, 473, 584, 69, 1736, 203, 2138, 473, 16146, 473, 1725, 27, 4848, 415, 19752, 31206, 11371, 576, 4848, 203, 3684, 16608, 395, 361, 16, 18812, 890, 7140, 6418, 473, 279, 337, 18, 1059, 4763, 473, 328, 911, 4461, 265, 473, 4248, 24, 473, 24516, 72, 581, 25441, 473, 584, 69, 1736, 203, 3437, 473, 31069, 473, 28024, 4449, 1223, 4819, 88, 6828, 310, 279, 337, 18, 374, 6028, 203, 83, 744, 70, 18156, 70, 22498, 16, 7125, 1666, 5608, 10593, 473, 279, 337, 18, 1666, 5558, 473, 800, 3872, 76, 577, 473, 1381, 5718, 473, 417, 634, 345, 473, 584, 69, 1736, 203, 3461, 473, 14605, 473, 1381, 5340, 6790, 3965, 79, 652, 203, 82, 7825, 31476, 485, 995, 16, 16138, 890, 3600, 5324, 473, 279, 337, 18, 1725, 7616, 473, 19272, 1331, 278, 995, 473, 2468, 7235, 473, 312, 1354, 360, 304, 473, 584, 69, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 2867, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1725, 5877, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 88, 21, 18, 81, 1202, 379, 67, 350, 3631, 268, 22, 18, 2107, 67, 792, 67, 16282, 628, 312, 1202, 379, 487, 268, 21, 1233, 3757, 487, 268, 22, 603, 268, 21, 18, 81, 1202, 379, 67, 350, 273, 268, 22, 18, 81, 1202, 379, 67, 350, 1625, 8000, 67, 350, 480, 890, 578, 1696, 67, 6874, 273, 18965, 578, 2078, 67, 20693, 1545, 5342, 18, 10689, 1041, 635, 508, 7999, 1056, 12, 529, 13, 480, 1666, 411, 2121, 67, 529, 34, 294, 312, 1202, 379, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 312, 1202, 379, 67, 350, 473, 508, 473, 818, 67, 792, 67, 31096, 473, 1696, 67, 6874, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 886, 1561, 69, 312, 1202, 379, 473, 22684, 473, 16291, 1736, 203, 21, 473, 576, 473, 12872, 886, 1561, 69, 312, 1202, 379, 473, 6969, 473, 20869, 1736, 203, 22, 473, 890, 473, 525, 17098, 3565, 17772, 312, 1202, 379, 473, 6549, 473, 18965, 1736, 203, 23, 473, 1059, 473, 341, 330, 821, 15889, 323, 312, 1202, 379, 473, 8043, 473, 27853, 1736, 203, 24, 473, 1381, 473, 436, 1667, 9468, 312, 1202, 379, 473, 2872, 473, 4044, 28, 1736, 203, 25, 473, 1666, 473, 3166, 358, 2051, 312, 1202, 379, 473, 2872, 473, 4044, 28, 1736, 203, 26, 473, 2371, 473, 18291, 12797, 1015, 5792, 10043, 2001, 312, 1202, 379, 473, 4711, 473, 18965, 1736, 203, 27, 473, 1725, 473, 998, 11222, 6878, 312, 1202, 379, 473, 2593, 473, 4044, 29, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 3757, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 312, 1202, 379, 67, 350, 473, 8000, 67, 350, 473, 818, 67, 792, 67, 16282, 473, 2078, 67, 20693, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1381, 473, 4200, 473, 890, 3462, 18, 3461, 1736, 203, 21, 473, 576, 473, 1381, 473, 1059, 473, 28308, 18, 10689, 1736, 203, 22, 473, 1059, 473, 890, 473, 1728, 473, 890, 3462, 18, 6334, 1736, 203, 23, 473, 576, 473, 890, 473, 4248, 473, 4200, 29, 18, 10689, 1736, 203, 24, 473, 1059, 473, 1666, 473, 890, 473, 4200, 18, 6334, 1736, 203, 25, 473, 1725, 473, 1666, 473, 576, 473, 5342, 18, 10689, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 81, 1202, 379, 67, 350, 13, 473, 818, 67, 792, 67, 16282, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 1059, 1736, 203, 21, 473, 404, 473, 4200, 1736, 203, 22, 473, 1059, 473, 1728, 1736, 203, 23, 473, 1725, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 2564, 67, 350, 3631, 268, 22, 18, 291, 67, 5254, 67, 267, 67, 16385, 628, 1479, 487, 268, 21, 1233, 18285, 67, 2564, 487, 268, 22, 603, 268, 21, 18, 2564, 67, 350, 273, 268, 22, 18, 2564, 67, 350, 1625, 11152, 12, 21214, 67, 350, 13, 480, 404, 578, 353, 67, 5254, 67, 267, 67, 16385, 273, 284, 471, 290, 367, 7919, 480, 2836, 329, 5493, 578, 508, 480, 328, 2466, 72, 302, 28662, 10558, 471, 9388, 273, 10659, 411, 2121, 67, 529, 34, 294, 1479, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1479, 67, 350, 473, 508, 473, 290, 367, 7919, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 279, 641, 267, 2548, 73, 473, 2836, 329, 5493, 473, 21193, 1736, 203, 21, 473, 576, 473, 328, 2466, 72, 302, 28662, 10558, 473, 2836, 329, 5493, 473, 18091, 1736, 203, 22, 473, 890, 473, 417, 280, 3084, 302, 842, 350, 473, 366, 20651, 814, 473, 8231, 1736, 203, 23, 473, 1059, 473, 392, 1917, 1594, 302, 842, 291, 473, 2836, 329, 5493, 473, 10659, 1736, 203, 24, 473, 1381, 473, 1675, 302, 842, 291, 473, 2836, 329, 5493, 473, 12292, 1736, 203, 25, 473, 1666, 473, 11891, 1051, 302, 842, 291, 473, 2836, 329, 5493, 473, 17495, 1736, 203, 26, 473, 2371, 473, 5926, 383, 87, 1464, 926, 83, 473, 1501, 319, 15314, 473, 5196, 1736, 203, 27, 473, 1725, 473, 2537, 267, 302, 319, 2586, 473, 2836, 329, 5493, 473, 8063, 1736, 203, 28, 473, 2468, 473, 9626, 297, 302, 2439, 94, 304, 473, 2836, 329, 5493, 473, 8231, 1736, 203, 29, 473, 1728, 473, 302, 370, 1200, 7609, 473, 2836, 329, 5493, 473, 4752, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18285, 67, 2564, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18285, 67, 350, 473, 1479, 67, 350, 473, 353, 67, 5254, 67, 267, 67, 16385, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 268, 1736, 203, 21, 473, 1725, 473, 2371, 473, 268, 1736, 203, 22, 473, 1666, 473, 1728, 473, 284, 1736, 203, 23, 473, 1059, 473, 576, 473, 268, 1736, 203, 24, 473, 576, 473, 1381, 473, 284, 1736, 203, 25, 473, 1666, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 2564, 67, 350, 13, 473, 353, 67, 5254, 67, 267, 67, 16385, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 7958, 67, 350, 13, 628, 8938, 411, 2121, 67, 529, 34, 294, 8938, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2492, 67, 350, 473, 2198, 395, 280, 67, 350, 473, 2492, 67, 723, 67, 710, 473, 1509, 67, 792, 67, 7958, 473, 3844, 67, 792, 67, 7958, 473, 7433, 67, 1883, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1666, 473, 272, 5349, 473, 5342, 5482, 17, 5908, 17, 2313, 5342, 30, 3103, 30, 10593, 473, 5196, 2947, 8642, 18, 26, 2733, 26, 473, 1725, 27, 30489, 9060, 473, 225, 1736, 203, 21, 473, 576, 473, 6549, 473, 5405, 473, 5342, 11149, 17, 7677, 17, 7677, 8043, 30, 3657, 30, 713, 473, 12732, 18, 2947, 27, 473, 2468, 473, 225, 1736, 203, 22, 473, 890, 473, 576, 473, 272, 5349, 473, 5342, 7235, 17, 3028, 17, 5324, 13026, 30, 4630, 30, 6162, 473, 9934, 14509, 18, 29, 8148, 473, 19692, 3672, 473, 225, 1736, 203, 23, 473, 1059, 473, 5045, 473, 5405, 473, 4044, 21, 17, 2499, 17, 6030, 4711, 30, 7677, 30, 2947, 473, 1059, 18, 9401, 4449, 473, 1725, 3028, 20, 473, 225, 1736, 203, 24, 473, 1381, 473, 1725, 473, 5405, 473, 5342, 4700, 17, 6840, 17, 4033, 5958, 30, 3437, 30, 5082, 473, 374, 18, 20, 473, 2468, 5082, 473, 225, 1736, 203, 25, 473, 1666, 473, 5342, 473, 5405, 473, 5342, 7140, 17, 2163, 17, 6840, 5958, 30, 3437, 30, 5520, 473, 4200, 5608, 5193, 22266, 18, 5324, 10525, 473, 576, 5877, 21, 473, 225, 1736, 203, 26, 473, 2371, 473, 2371, 473, 5405, 473, 23673, 20, 17, 2138, 17, 3103, 21058, 30, 4630, 30, 7414, 473, 1725, 3787, 18, 3672, 23, 473, 4711, 3787, 473, 225, 1736, 203, 27, 473, 1725, 473, 8043, 473, 272, 5349, 473, 4044, 24, 17, 1611, 17, 2643, 4200, 30, 6418, 30, 3361, 473, 2371, 3672, 23, 4313, 11212, 18, 6334, 3247, 473, 19332, 4033, 28, 473, 225, 1736, 203, 28, 473, 2468, 473, 4200, 473, 5405, 473, 5342, 4700, 17, 6840, 17, 3437, 17896, 30, 2643, 30, 9462, 473, 1725, 3462, 10321, 18, 3462, 27, 473, 225, 473, 225, 1736, 203, 29, 473, 1728, 473, 576, 473, 272, 5349, 473, 5342, 11861, 17, 1611, 17, 6030, 16314, 30, 8642, 30, 4630, 473, 12899, 18, 4763, 5026, 473, 2872, 6564, 27, 4313, 473, 225, 1736, 203, 2163, 473, 4648, 473, 890, 473, 272, 5349, 473, 16291, 17, 3028, 17, 4630, 4200, 30, 2539, 30, 8942, 473, 374, 18, 20, 473, 1666, 5608, 25, 5540, 6675, 22, 473, 225, 1736, 203, 2499, 473, 2593, 473, 6549, 473, 272, 5349, 473, 5342, 10261, 17, 2499, 17, 1611, 8043, 30, 10321, 30, 5324, 473, 404, 18, 20, 473, 1381, 11035, 473, 225, 1736, 203, 2138, 473, 5958, 473, 890, 473, 272, 5349, 473, 4044, 22, 17, 3028, 17, 8642, 4200, 30, 6030, 30, 6418, 473, 6549, 23, 18, 22, 473, 225, 473, 225, 1736, 203, 3437, 473, 5045, 473, 890, 473, 5405, 473, 4044, 22, 17, 5908, 17, 3437, 17107, 30, 3028, 30, 4313, 473, 374, 18, 20, 473, 13746, 713, 5340, 473, 225, 1736, 203, 3461, 473, 4711, 473, 5342, 473, 5405, 473, 23673, 27, 17, 2138, 17, 5082, 15331, 30, 6260, 30, 7132, 473, 1725, 18, 29, 473, 31007, 30380, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 7958, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4711, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3144, 67, 2767, 710, 16, 919, 67, 25529, 2410, 67, 1883, 93, 16, 980, 67, 21, 16, 1758, 67, 350, 628, 6138, 1625, 980, 67, 21, 480, 1666, 8285, 6938, 328, 842, 265, 4644, 328, 369, 908, 203, 355, 816, 13401, 16, 6744, 4200, 6675, 24, 578, 3144, 67, 2767, 710, 480, 23543, 471, 1758, 67, 350, 1648, 14605, 578, 980, 67, 22, 273, 11371, 890, 7301, 471, 5251, 273, 584, 69, 578, 919, 67, 25529, 2410, 67, 1883, 93, 480, 16573, 345, 7812, 2027, 3144, 67, 2767, 710, 16, 919, 67, 25529, 2410, 67, 1883, 93, 16, 980, 67, 21, 16, 1758, 67, 350, 628, 6138, 1625, 1758, 67, 350, 273, 2468, 471, 980, 67, 21, 273, 21058, 713, 721, 765, 1200, 320, 1125, 203, 2704, 524, 4757, 69, 16, 27098, 5342, 6976, 17, 7235, 3461, 578, 5251, 273, 584, 69, 411, 2121, 67, 529, 34, 294, 6138, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1758, 67, 350, 473, 980, 67, 21, 473, 980, 67, 22, 473, 12797, 473, 3144, 67, 2767, 710, 473, 919, 67, 25529, 2410, 67, 1883, 93, 473, 5251, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 473, 21058, 713, 721, 765, 1200, 320, 1125, 203, 2704, 524, 4757, 69, 16, 27098, 5342, 6976, 17, 7235, 3461, 473, 11371, 374, 10525, 473, 4739, 4644, 287, 464, 473, 1725, 8898, 473, 312, 1580, 13848, 473, 584, 69, 1736, 203, 21, 473, 2468, 473, 2468, 6028, 302, 497, 9048, 279, 337, 18, 890, 3787, 203, 80, 911, 17895, 2586, 93, 76, 7638, 16, 14162, 15892, 30803, 473, 279, 337, 18, 2872, 23, 473, 24516, 1131, 82, 1385, 473, 2371, 2313, 473, 16573, 345, 473, 584, 69, 1736, 203, 22, 473, 12899, 473, 9131, 2539, 20, 23670, 765, 1200, 3613, 5466, 11371, 1666, 9599, 203, 94, 581, 814, 76, 7638, 16, 341, 93, 576, 5540, 7950, 17, 3600, 5026, 473, 279, 337, 18, 1059, 3657, 473, 21435, 775, 541, 70, 280, 4966, 473, 23543, 473, 331, 1035, 1580, 473, 584, 69, 1736, 203, 23, 473, 5196, 473, 1725, 6418, 7677, 392, 69, 16301, 1888, 279, 337, 18, 2468, 9975, 203, 31092, 7334, 1349, 16, 12837, 374, 2499, 2138, 473, 279, 337, 18, 1725, 5193, 473, 328, 911, 417, 287, 402, 473, 1059, 6938, 473, 341, 961, 310, 1917, 473, 584, 69, 1736, 203, 24, 473, 21193, 473, 20963, 28275, 23795, 4098, 13282, 203, 29476, 2031, 334, 361, 16, 4086, 1381, 10593, 1105, 473, 11371, 890, 3707, 473, 18654, 10499, 77, 351, 15347, 473, 1381, 6162, 473, 8039, 497, 407, 278, 3428, 473, 584, 69, 1736, 203, 25, 473, 12292, 473, 4248, 22, 293, 24363, 8838, 384, 266, 2413, 203, 30318, 353, 873, 80, 961, 577, 16, 5346, 17107, 3361, 26, 473, 11371, 890, 7301, 473, 320, 11, 4646, 1165, 1945, 473, 1381, 3461, 473, 394, 81, 338, 10764, 473, 584, 69, 1736, 203, 26, 473, 21483, 473, 1725, 1611, 681, 395, 83, 353, 15733, 11371, 5196, 26, 203, 80, 3505, 90, 14120, 16, 7966, 890, 7132, 6162, 473, 11371, 2371, 1105, 473, 394, 524, 2351, 473, 404, 6669, 473, 12543, 1054, 625, 7259, 473, 584, 69, 1736, 203, 27, 473, 13746, 473, 374, 29882, 284, 31721, 302, 301, 203, 744, 15834, 414, 76, 577, 16, 11654, 20546, 7414, 17, 5877, 5608, 473, 279, 337, 18, 2468, 4630, 473, 24516, 12519, 275, 304, 473, 1666, 3437, 473, 312, 1354, 360, 304, 473, 584, 69, 1736, 203, 28, 473, 23797, 473, 21058, 9462, 21, 366, 1200, 298, 9052, 203, 655, 943, 494, 16, 290, 78, 2468, 23643, 20, 17, 6564, 5908, 473, 11371, 2468, 4630, 473, 366, 1072, 69, 4487, 831, 473, 890, 6564, 473, 3077, 335, 322, 473, 584, 69, 1736, 203, 29, 473, 26103, 473, 1666, 8285, 6938, 328, 842, 265, 4644, 328, 369, 908, 203, 355, 816, 13401, 16, 6744, 4200, 6675, 24, 473, 279, 337, 18, 2371, 4313, 473, 524, 3128, 76, 577, 473, 1666, 11035, 473, 394, 81, 338, 10764, 473, 584, 69, 1736, 203, 2163, 473, 28024, 473, 576, 6030, 284, 9795, 402, 19193, 203, 12124, 398, 2942, 15347, 16, 1183, 13026, 5540, 27, 17, 4313, 7677, 473, 11371, 374, 11035, 473, 24516, 9583, 362, 495, 22498, 473, 374, 7235, 473, 29797, 1594, 473, 584, 69, 1736, 203, 2499, 473, 24153, 473, 404, 4700, 20, 1261, 566, 292, 436, 931, 279, 337, 18, 890, 10580, 203, 31092, 487, 76, 715, 9074, 343, 7654, 16, 5218, 2468, 3657, 9470, 473, 279, 337, 18, 1666, 4033, 473, 19720, 268, 1629, 455, 70, 295, 17680, 473, 404, 7235, 473, 24516, 72, 581, 25441, 473, 584, 69, 1736, 203, 2138, 473, 16146, 473, 1725, 27, 4848, 415, 19752, 31206, 11371, 576, 4848, 203, 3684, 16608, 395, 361, 16, 18812, 890, 7140, 6418, 473, 279, 337, 18, 1059, 4763, 473, 328, 911, 4461, 265, 473, 4248, 24, 473, 24516, 72, 581, 25441, 473, 584, 69, 1736, 203, 3437, 473, 31069, 473, 28024, 4449, 1223, 4819, 88, 6828, 310, 279, 337, 18, 374, 6028, 203, 83, 744, 70, 18156, 70, 22498, 16, 7125, 1666, 5608, 10593, 473, 279, 337, 18, 1666, 5558, 473, 800, 3872, 76, 577, 473, 1381, 5718, 473, 417, 634, 345, 473, 584, 69, 1736, 203, 3461, 473, 14605, 473, 1381, 5340, 6790, 3965, 79, 652, 203, 82, 7825, 31476, 485, 995, 16, 16138, 890, 3600, 5324, 473, 279, 337, 18, 1725, 7616, 473, 19272, 1331, 278, 995, 473, 2468, 7235, 473, 312, 1354, 360, 304, 473, 584, 69, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 6138, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1758, 67, 350, 473, 980, 67, 21, 473, 980, 67, 22, 473, 12797, 473, 3144, 67, 2767, 710, 473, 919, 67, 25529, 2410, 67, 1883, 93, 473, 5251, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1381, 473, 21058, 713, 721, 765, 1200, 320, 1125, 203, 2704, 524, 4757, 69, 16, 27098, 5342, 6976, 17, 7235, 3461, 473, 11371, 374, 10525, 473, 4739, 4644, 287, 464, 473, 1725, 8898, 473, 312, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3144, 67, 2767, 710, 473, 919, 67, 25529, 2410, 67, 1883, 93, 473, 980, 67, 21, 473, 1758, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 26517, 473, 29797, 1594, 473, 576, 6030, 284, 9795, 402, 19193, 203, 12124, 398, 2942, 15347, 16, 1183, 13026, 5540, 27, 17, 4313, 7677, 473, 28024, 1736, 203, 21, 473, 23543, 473, 331, 1035, 1580, 473, 9131, 2539, 20, 23670, 765, 1200, 3613, 5466, 11371, 1666, 9599, 203, 94, 581, 814, 76, 7638, 16, 341, 93, 576, 5540, 7950, 17, 3600, 5026, 473, 12899, 1736, 203, 22, 473, 404, 6669, 473, 12543, 1054, 625, 7259, 473, 1725, 1611, 681, 395, 83, 353, 15733, 11371, 5196, 26, 203, 80, 3505, 90, 14120, 16, 7966, 890, 7132, 6162, 473, 21483, 1736, 203, 23, 473, 404, 7235, 473, 24516, 72, 581, 25441, 473, 404, 4700, 20, 1261, 566, 292, 436, 931, 279, 337, 18, 890, 10580, 203, 31092, 487, 76, 715, 9074, 343, 7654, 16, 5218, 2468, 3657, 9470, 473, 24153, 1736, 203, 24, 473, 4248, 24, 473, 24516, 72, 581, 25441, 473, 1725, 27, 4848, 415, 19752, 31206, 11371, 576, 4848, 203, 3684, 16608, 395, 361, 16, 18812, 890, 7140, 6418, 473, 16146, 1736, 203, 25, 473, 890, 6564, 473, 3077, 335, 322, 473, 21058, 9462, 21, 366, 1200, 298, 9052, 203, 655, 943, 494, 16, 290, 78, 2468, 23643, 20, 17, 6564, 5908, 473, 23797, 1736, 203, 26, 473, 1059, 6938, 473, 341, 961, 310, 1917, 473, 1725, 6418, 7677, 392, 69, 16301, 1888, 279, 337, 18, 2468, 9975, 203, 31092, 7334, 1349, 16, 12837, 374, 2499, 2138, 473, 5196, 1736, 203, 27, 473, 1381, 3461, 473, 394, 81, 338, 10764, 473, 4248, 22, 293, 24363, 8838, 384, 266, 2413, 203, 30318, 353, 873, 80, 961, 577, 16, 5346, 17107, 3361, 26, 473, 12292, 1736, 203, 28, 473, 1381, 5718, 473, 417, 634, 345, 473, 28024, 4449, 1223, 4819, 88, 6828, 310, 279, 337, 18, 374, 6028, 203, 83, 744, 70, 18156, 70, 22498, 16, 7125, 1666, 5608, 10593, 473, 31069, 1736, 203, 29, 473, 1381, 6162, 473, 8039, 497, 407, 278, 3428, 473, 20963, 28275, 23795, 4098, 13282, 203, 29476, 2031, 334, 361, 16, 4086, 1381, 10593, 1105, 473, 21193, 1736, 203, 2163, 473, 1666, 3437, 473, 312, 1354, 360, 304, 473, 374, 29882, 284, 31721, 302, 301, 203, 744, 15834, 414, 76, 577, 16, 11654, 20546, 7414, 17, 5877, 5608, 473, 13746, 1736, 203, 2499, 473, 1666, 11035, 473, 394, 81, 338, 10764, 473, 1666, 8285, 6938, 328, 842, 265, 4644, 328, 369, 908, 203, 355, 816, 13401, 16, 6744, 4200, 6675, 24, 473, 26103, 1736, 203, 2138, 473, 2371, 2313, 473, 16573, 345, 473, 2468, 6028, 302, 497, 9048, 279, 337, 18, 890, 3787, 203, 80, 911, 17895, 2586, 93, 76, 7638, 16, 14162, 15892, 30803, 473, 2468, 1736, 203, 3437, 473, 1725, 8898, 473, 312, 1580, 13848, 473, 21058, 713, 721, 765, 1200, 320, 1125, 203, 2704, 524, 4757, 69, 16, 27098, 5342, 6976, 17, 7235, 3461, 473, 1381, 1736, 203, 3461, 473, 2468, 7235, 473, 312, 1354, 360, 304, 473, 1381, 5340, 6790, 3965, 79, 652, 203, 82, 7825, 31476, 485, 995, 16, 16138, 890, 3600, 5324, 473, 14605, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2117, 67, 710, 628, 7912, 67, 5547, 67, 12352, 1625, 2117, 67, 710, 273, 21017, 5362, 9437, 578, 1946, 67, 350, 411, 2371, 1335, 2027, 2117, 67, 710, 628, 1353, 67, 26672, 606, 1625, 433, 9031, 67, 350, 273, 2468, 411, 2121, 67, 529, 34, 294, 7912, 67, 5547, 67, 12352, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2117, 67, 710, 473, 1946, 67, 350, 473, 2117, 67, 2867, 67, 350, 473, 2117, 67, 529, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12732, 12797, 9437, 473, 4648, 473, 1381, 473, 11814, 361, 1385, 17, 71, 303, 601, 87, 1736, 203, 21, 473, 5196, 16260, 9437, 473, 2371, 473, 5958, 473, 331, 265, 86, 5957, 275, 16, 18551, 81, 22990, 471, 284, 528, 1736, 203, 22, 473, 21017, 5362, 9437, 473, 4648, 473, 1666, 473, 5926, 387, 16, 10811, 3818, 334, 737, 471, 436, 795, 264, 31836, 1736, 203, 23, 473, 18012, 570, 291, 1224, 1712, 473, 1728, 473, 2371, 473, 324, 6012, 88, 4491, 17, 76, 29650, 1736, 203, 24, 473, 26103, 6468, 2431, 1712, 473, 5045, 473, 1728, 473, 384, 266, 1354, 1041, 1736, 203, 25, 473, 23421, 320, 73, 1712, 473, 5045, 473, 2371, 473, 366, 403, 292, 471, 272, 7008, 1736, 203, 26, 473, 13438, 324, 275, 94, 384, 473, 576, 473, 4711, 473, 384, 6973, 267, 16, 366, 1332, 81, 1072, 471, 1223, 4819, 88, 1736, 203, 27, 473, 4711, 5050, 451, 1712, 473, 1725, 473, 1666, 473, 24601, 538, 16, 16430, 79, 407, 471, 417, 265, 556, 292, 7771, 77, 1736, 203, 28, 473, 16486, 12531, 9437, 473, 1725, 473, 1725, 473, 366, 1035, 376, 265, 16, 948, 471, 341, 291, 601, 93, 1736, 203, 29, 473, 26517, 8576, 384, 473, 4711, 473, 1381, 473, 7005, 264, 16, 4314, 278, 12761, 471, 3029, 483, 301, 1736, 203, 2163, 473, 23421, 1022, 1802, 9437, 473, 2371, 473, 576, 473, 884, 1072, 265, 16, 6445, 72, 4728, 471, 18551, 4644, 3585, 1736, 203, 2499, 473, 5178, 417, 340, 9437, 473, 2371, 473, 2593, 473, 302, 497, 1041, 1736, 203, 2138, 473, 23797, 5545, 18538, 384, 473, 1059, 473, 2371, 473, 12987, 1224, 17, 79, 11142, 402, 1736, 203, 3437, 473, 22997, 302, 842, 350, 384, 473, 4648, 473, 890, 473, 721, 87, 275, 12124, 379, 16, 417, 1385, 76, 82, 471, 417, 330, 823, 1736, 203, 3461, 473, 17066, 721, 792, 1712, 473, 5958, 473, 1059, 473, 324, 485, 355, 278, 9096, 16, 417, 1340, 70, 749, 471, 9998, 69, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1353, 67, 26672, 606, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2117, 67, 710, 473, 3214, 67, 1019, 67, 350, 473, 7912, 67, 2327, 67, 710, 473, 3419, 67, 351, 2817, 1340, 67, 350, 473, 433, 9031, 67, 350, 473, 7912, 67, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12732, 12797, 9437, 473, 4648, 473, 5695, 473, 1666, 473, 4648, 473, 14863, 17, 4630, 17, 5340, 9631, 30, 10321, 30, 3787, 1736, 203, 21, 473, 12732, 12797, 9437, 473, 404, 473, 603, 721, 361, 473, 1059, 473, 1728, 473, 14863, 17, 3103, 17, 5558, 8743, 30, 1578, 30, 7616, 1736, 203, 22, 473, 12732, 12797, 9437, 473, 890, 473, 5695, 473, 404, 473, 576, 473, 14863, 17, 4630, 17, 6840, 8043, 30, 4033, 30, 2138, 1736, 203, 23, 473, 26103, 6468, 2431, 1712, 473, 576, 473, 22112, 473, 2593, 473, 1728, 473, 14863, 17, 4630, 17, 4033, 5342, 30, 9452, 30, 6840, 1736, 203, 24, 473, 26103, 6468, 2431, 1712, 473, 576, 473, 603, 721, 361, 473, 404, 473, 1666, 473, 14863, 17, 4630, 17, 6260, 17107, 30, 4630, 30, 3247, 1736, 203, 25, 473, 13438, 324, 275, 94, 384, 473, 5045, 473, 22112, 473, 4648, 473, 1666, 473, 14863, 17, 4630, 17, 2138, 4200, 30, 7950, 30, 5324, 1736, 203, 26, 473, 26103, 6468, 2431, 1712, 473, 1666, 473, 603, 721, 361, 473, 4648, 473, 4648, 473, 14863, 17, 4630, 17, 3787, 11201, 30, 5908, 30, 4313, 1736, 203, 27, 473, 13438, 324, 275, 94, 384, 473, 1666, 473, 22112, 473, 576, 473, 1728, 473, 14863, 17, 4630, 17, 7677, 11201, 30, 5520, 30, 4033, 1736, 203, 28, 473, 13438, 324, 275, 94, 384, 473, 1381, 473, 22112, 473, 5045, 473, 1666, 473, 14863, 17, 4630, 17, 3103, 21058, 30, 4630, 30, 3437, 1736, 203, 29, 473, 26103, 6468, 2431, 1712, 473, 1725, 473, 5695, 473, 5958, 473, 1059, 473, 14863, 17, 4630, 17, 4033, 21058, 30, 5908, 30, 7677, 1736, 203, 2163, 473, 17066, 721, 792, 1712, 473, 2468, 473, 5695, 473, 890, 473, 2468, 473, 14863, 17, 3103, 17, 5558, 5958, 30, 3787, 30, 8643, 1736, 203, 2499, 473, 17066, 721, 792, 1712, 473, 1381, 473, 5695, 473, 1725, 473, 404, 473, 14863, 17, 4630, 17, 3462, 4200, 30, 5718, 30, 6334, 1736, 203, 2138, 473, 17066, 721, 792, 1712, 473, 2468, 473, 5695, 473, 5045, 473, 1381, 473, 14863, 17, 4630, 17, 3461, 15331, 30, 2313, 30, 4033, 1736, 203, 3437, 473, 17066, 721, 792, 1712, 473, 1728, 473, 5695, 473, 5958, 473, 4648, 473, 14863, 17, 4630, 17, 2643, 17896, 30, 4763, 30, 6840, 1736, 203, 3461, 473, 13438, 324, 275, 94, 384, 473, 1059, 473, 603, 721, 361, 473, 404, 473, 576, 473, 14863, 17, 4630, 17, 1611, 9631, 30, 3361, 30, 7950, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2117, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13438, 324, 275, 94, 384, 1736, 203, 21, 473, 21017, 5362, 9437, 1736, 203, 22, 473, 23797, 5545, 18538, 384, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 88, 21, 18, 16121, 67, 2107, 3631, 268, 22, 18, 21858, 67, 3384, 628, 667, 487, 268, 21, 1233, 4362, 487, 268, 22, 603, 268, 21, 18, 21858, 67, 710, 273, 268, 22, 18, 21858, 67, 710, 1625, 667, 67, 13924, 273, 417, 10826, 3462, 29, 471, 17389, 67, 20688, 273, 890, 18, 20, 578, 667, 67, 710, 273, 2130, 3462, 578, 667, 67, 957, 480, 14721, 74, 1725, 30, 713, 17, 28, 30, 3361, 279, 18, 81, 18, 471, 17389, 67, 3384, 273, 13079, 18, 358, 6481, 13406, 310, 578, 9214, 67, 2107, 405, 23633, 1041, 635, 667, 67, 3464, 7999, 667, 67, 710, 273, 2130, 2313, 471, 667, 67, 3464, 273, 576, 1353, 635, 667, 67, 957, 6972, 1800, 1381, 411, 2121, 67, 529, 34, 294, 667, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 667, 67, 710, 473, 17389, 67, 710, 473, 667, 67, 3464, 473, 667, 67, 957, 473, 667, 67, 13924, 473, 9214, 67, 2107, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 2138, 473, 20774, 17, 22, 2499, 473, 404, 473, 14721, 74, 1725, 30, 713, 17, 28, 30, 3361, 279, 18, 81, 18, 473, 5766, 23, 2499, 473, 23633, 1736, 203, 21, 473, 2130, 3437, 473, 20774, 17, 22, 2499, 473, 576, 473, 14721, 74, 2468, 30, 713, 17, 29, 30, 3361, 279, 18, 81, 18, 473, 5766, 6976, 473, 23633, 1736, 203, 22, 473, 2130, 3461, 473, 20774, 17, 22, 2499, 473, 890, 473, 268, 451, 576, 30, 5082, 17, 23, 30, 7950, 293, 18, 81, 18, 473, 5766, 2947, 22, 473, 890, 9452, 1736, 203, 23, 473, 2130, 3600, 473, 20774, 17, 22, 2138, 473, 404, 473, 14721, 74, 1728, 30, 713, 17, 2163, 30, 3361, 279, 18, 81, 18, 473, 5766, 23, 2499, 473, 26403, 1736, 203, 24, 473, 2130, 2313, 473, 20774, 17, 22, 2138, 473, 576, 473, 286, 1666, 30, 713, 17, 28, 30, 7132, 293, 18, 81, 18, 473, 5766, 2947, 22, 473, 26403, 1736, 203, 25, 473, 2130, 4033, 473, 276, 291, 17, 27246, 473, 404, 473, 14721, 74, 2468, 30, 713, 17, 29, 30, 3361, 279, 18, 81, 18, 473, 417, 10826, 3462, 29, 473, 576, 6030, 1736, 203, 26, 473, 2130, 2643, 473, 276, 291, 17, 27246, 473, 576, 473, 14721, 74, 2468, 30, 713, 17, 29, 30, 3361, 279, 18, 81, 18, 473, 417, 10826, 22, 2499, 473, 21284, 1736, 203, 27, 473, 2130, 3657, 473, 276, 291, 17, 27246, 473, 890, 473, 14721, 74, 1728, 30, 713, 17, 2163, 30, 3361, 279, 18, 81, 18, 473, 417, 10826, 3462, 29, 473, 576, 6030, 1736, 203, 28, 473, 2130, 3462, 473, 276, 291, 17, 24, 3462, 473, 404, 473, 341, 1666, 30, 713, 17, 28, 30, 7132, 293, 18, 81, 18, 473, 417, 10826, 3462, 29, 473, 2872, 22, 1736, 203, 29, 473, 2130, 5340, 473, 30005, 17, 5558, 21, 473, 404, 473, 14721, 74, 1725, 30, 713, 17, 28, 30, 3361, 279, 18, 81, 18, 473, 417, 10826, 6976, 473, 21284, 1736, 203, 2163, 473, 2130, 3787, 473, 30005, 17, 5558, 21, 473, 576, 473, 268, 451, 404, 30, 713, 17, 22, 30, 3600, 293, 18, 81, 18, 473, 417, 10826, 6976, 473, 21284, 1736, 203, 2499, 473, 2130, 4366, 473, 30005, 17, 5718, 22, 473, 404, 473, 14721, 74, 4648, 30, 713, 17, 2499, 30, 3361, 279, 18, 81, 18, 473, 417, 10826, 6976, 473, 2872, 22, 1736, 203, 2138, 473, 2130, 3247, 473, 30005, 17, 5718, 22, 473, 576, 473, 268, 451, 576, 30, 5082, 17, 23, 30, 7950, 293, 18, 81, 18, 473, 417, 10826, 6976, 473, 2872, 22, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 4362, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 17389, 67, 710, 473, 443, 337, 67, 710, 473, 17389, 67, 3384, 473, 17389, 67, 20688, 1736, 203, 64, 13138, 5345, 203, 20, 473, 20774, 17, 22, 2499, 473, 20774, 473, 2236, 310, 277, 473, 890, 18, 20, 1736, 203, 21, 473, 20774, 17, 22, 2138, 473, 20774, 473, 2236, 310, 6072, 473, 890, 18, 20, 1736, 203, 22, 473, 276, 291, 17, 27246, 473, 276, 291, 473, 13079, 18, 358, 6481, 13406, 310, 473, 890, 18, 20, 1736, 203, 23, 473, 276, 291, 17, 24, 3462, 473, 276, 291, 473, 2063, 8281, 471, 4471, 473, 1059, 18, 20, 1736, 203, 24, 473, 30005, 17, 5558, 21, 473, 276, 291, 473, 13079, 18, 358, 7691, 473, 890, 18, 20, 1736, 203, 25, 473, 30005, 17, 5718, 22, 473, 276, 291, 473, 610, 376, 1706, 12165, 473, 1059, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 16121, 67, 2107, 13, 473, 17389, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 8043, 22, 18, 5877, 473, 2236, 310, 6072, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 508, 628, 1904, 1625, 1904, 67, 350, 1648, 1381, 1335, 2027, 508, 628, 5402, 1625, 3410, 273, 506, 8302, 310, 268, 6516, 2820, 261, 23602, 90, 13, 578, 4026, 480, 506, 8302, 310, 471, 508, 480, 392, 77, 18179, 578, 8037, 411, 4044, 25, 18, 20, 411, 2121, 67, 529, 34, 294, 1904, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1904, 67, 350, 473, 508, 473, 3410, 473, 7433, 67, 267, 67, 8849, 473, 13953, 67, 267, 67, 8849, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 276, 299, 90, 17, 21, 473, 276, 299, 90, 473, 1059, 18, 29, 473, 374, 18, 6564, 1736, 203, 21, 473, 576, 473, 366, 318, 304, 25344, 13521, 473, 366, 2038, 473, 1059, 18, 11861, 473, 374, 18, 8643, 1736, 203, 22, 473, 890, 473, 276, 299, 90, 17, 28, 473, 276, 299, 90, 473, 890, 18, 6669, 473, 374, 18, 9803, 1736, 203, 23, 473, 1059, 473, 276, 299, 90, 17, 3437, 473, 276, 299, 90, 473, 576, 18, 12416, 473, 374, 18, 1578, 1736, 203, 24, 473, 1381, 473, 276, 299, 90, 17, 23, 473, 276, 299, 90, 473, 576, 18, 5292, 473, 374, 18, 6938, 1736, 203, 25, 473, 1666, 473, 276, 299, 90, 17, 26, 473, 276, 299, 90, 473, 576, 18, 9036, 473, 374, 18, 23, 1736, 203, 26, 473, 2371, 473, 276, 299, 90, 17, 3461, 473, 276, 299, 90, 473, 576, 18, 26, 473, 374, 18, 5540, 1736, 203, 27, 473, 1725, 473, 276, 299, 90, 17, 24, 473, 276, 299, 90, 473, 576, 18, 3707, 473, 374, 18, 5558, 1736, 203, 28, 473, 2468, 473, 392, 76, 4881, 25344, 13521, 473, 392, 76, 4881, 268, 6516, 2820, 473, 404, 18, 8285, 473, 374, 18, 22, 1736, 203, 29, 473, 1728, 473, 699, 464, 932, 25344, 13521, 473, 699, 464, 932, 268, 6516, 2820, 473, 404, 18, 5608, 473, 374, 18, 3657, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 5402, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 5402, 67, 350, 473, 508, 473, 4026, 473, 8037, 473, 3410, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 392, 77, 18179, 473, 366, 318, 304, 473, 4044, 25, 18, 20, 473, 366, 318, 304, 8959, 310, 2619, 261, 76, 2038, 13, 1736, 203, 21, 473, 576, 473, 417, 581, 89, 473, 506, 8302, 310, 473, 4044, 24, 18, 20, 473, 506, 8302, 310, 268, 6516, 2820, 261, 23602, 90, 13, 1736, 203, 22, 473, 890, 473, 358, 265, 1896, 473, 699, 539, 3395, 77, 473, 4044, 25, 18, 20, 473, 699, 539, 3395, 77, 3539, 1041, 261, 4808, 75, 13, 1736, 203, 23, 473, 1059, 473, 525, 1155, 78, 1155, 473, 3058, 539, 72, 932, 473, 4044, 27, 18, 20, 473, 272, 659, 1614, 82, 3539, 28781, 261, 4808, 71, 13, 1736, 203, 24, 473, 1381, 473, 677, 83, 6925, 473, 525, 77, 539, 26560, 473, 18965, 18, 20, 473, 525, 77, 539, 26560, 8959, 310, 28781, 261, 2924, 13459, 13, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 508, 1736, 203, 64, 13138, 5345, 203, 20, 473, 276, 299, 90, 17, 21, 1736, 203, 21, 473, 276, 299, 90, 17, 3437, 1736, 203, 22, 473, 276, 299, 90, 17, 23, 1736, 203, 23, 473, 276, 299, 90, 17, 28, 1736, 203, 24, 473, 366, 318, 304, 25344, 13521, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 351, 2817, 1340, 67, 350, 3631, 268, 22, 18, 351, 2817, 1340, 67, 350, 628, 24539, 1340, 487, 268, 21, 1233, 9873, 487, 268, 22, 603, 268, 21, 18, 351, 2817, 1340, 67, 350, 273, 268, 22, 18, 351, 2817, 1340, 67, 350, 1625, 324, 22889, 480, 29839, 18, 20, 578, 9388, 480, 12899, 578, 12797, 480, 324, 421, 1041, 635, 12797, 7999, 3286, 67, 69, 11804, 480, 11015, 471, 2142, 12, 18688, 407, 13, 1545, 3847, 713, 18, 20, 471, 12797, 480, 1703, 1121, 578, 9388, 411, 8063, 411, 2121, 67, 529, 34, 294, 24539, 1340, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 24539, 1340, 67, 350, 473, 508, 473, 9388, 473, 12797, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 8244, 280, 908, 462, 26812, 473, 10213, 473, 5186, 376, 355, 1736, 203, 21, 473, 576, 473, 884, 73, 1791, 5913, 473, 12899, 473, 324, 421, 1736, 203, 22, 473, 890, 473, 2267, 960, 304, 473, 21193, 473, 5186, 376, 355, 1736, 203, 23, 473, 1059, 473, 525, 2753, 366, 947, 816, 473, 5196, 473, 5186, 376, 355, 1736, 203, 24, 473, 1381, 473, 1658, 8843, 4644, 473, 12899, 473, 1703, 1121, 1736, 203, 25, 473, 1666, 473, 471, 16052, 699, 264, 350, 304, 473, 9131, 473, 272, 5349, 1736, 203, 26, 473, 2371, 473, 312, 4558, 384, 14965, 773, 473, 12899, 473, 324, 421, 1736, 203, 27, 473, 1725, 473, 1844, 330, 331, 1200, 627, 473, 8063, 473, 1703, 1121, 1736, 203, 28, 473, 2468, 473, 18654, 537, 324, 7825, 91, 1200, 473, 3847, 473, 324, 421, 1736, 203, 29, 473, 1728, 473, 437, 89, 291, 443, 16329, 473, 6580, 473, 884, 1242, 387, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 9873, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 24539, 1340, 67, 350, 473, 3286, 67, 69, 11804, 473, 324, 22889, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 27853, 473, 29839, 18, 20, 1736, 203, 21, 473, 576, 473, 12461, 473, 3847, 713, 18, 20, 1736, 203, 22, 473, 404, 473, 12659, 473, 12899, 713, 18, 20, 1736, 203, 23, 473, 1059, 473, 11015, 473, 3847, 713, 18, 20, 1736, 203, 24, 473, 2371, 473, 14863, 473, 3847, 713, 18, 20, 1736, 203, 25, 473, 1728, 473, 12659, 473, 1059, 3784, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 351, 2817, 1340, 67, 350, 13, 473, 24539, 1340, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 576, 1736, 203, 21, 473, 890, 473, 404, 1736, 203, 22, 473, 404, 473, 1728, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 6874, 13, 628, 1534, 6951, 86, 639, 31, 411, 2121, 67, 529, 34, 294, 1534, 6951, 86, 639, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1534, 6951, 86, 639, 67, 350, 473, 16951, 67, 350, 473, 1509, 473, 3286, 473, 2117, 473, 5251, 473, 24859, 473, 316, 78, 2862, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 16486, 18, 5558, 513, 86, 330, 10659, 19, 5324, 473, 5342, 11149, 473, 582, 6913, 73, 932, 473, 24516, 417, 479, 69, 473, 13850, 473, 18091, 1736, 203, 21, 473, 576, 473, 890, 473, 4648, 18, 2643, 1158, 90, 18, 6549, 473, 23673, 25, 473, 998, 3395, 369, 932, 473, 462, 15314, 473, 3847, 473, 2872, 1736, 203, 22, 473, 890, 473, 1059, 473, 15331, 18, 5340, 2026, 9035, 473, 5342, 7414, 473, 22258, 1594, 473, 525, 30472, 473, 5196, 473, 890, 1736, 203, 23, 473, 1059, 473, 1666, 473, 21058, 18, 3462, 5478, 18, 4200, 473, 23673, 24, 473, 506, 8302, 310, 473, 462, 15314, 473, 10213, 473, 8958, 1736, 203, 24, 473, 1381, 473, 1725, 473, 16486, 18, 713, 513, 86, 330, 473, 5342, 3361, 473, 290, 530, 7053, 473, 1547, 1155, 473, 11201, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 6874, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 23673, 25, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 10217, 1122, 529, 628, 666, 1625, 667, 13924, 225, 273, 225, 1728, 27, 411, 2121, 67, 529, 34, 294, 666, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1142, 529, 473, 1122, 529, 473, 7324, 473, 667, 13924, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5926, 473, 225, 10843, 1317, 473, 576, 473, 13822, 1736, 203, 21, 473, 23953, 376, 773, 275, 473, 225, 26792, 93, 473, 1666, 473, 23543, 1736, 203, 22, 473, 331, 464, 264, 6933, 1317, 473, 225, 699, 264, 91, 4773, 473, 890, 473, 1728, 27, 1736, 203, 23, 473, 290, 717, 21319, 473, 225, 353, 2540, 292, 473, 374, 473, 23633, 1736, 203, 24, 473, 302, 304, 3392, 473, 225, 525, 304, 1340, 473, 1059, 473, 16344, 1736, 203, 25, 473, 2125, 93, 473, 225, 9670, 86, 15314, 473, 404, 473, 21822, 1736, 203, 26, 473, 675, 76, 81, 473, 225, 699, 30427, 473, 374, 473, 21856, 1736, 203, 27, 473, 314, 2681, 267, 473, 225, 801, 398, 473, 1381, 473, 30116, 1736, 203, 28, 473, 314, 1165, 473, 225, 268, 26223, 473, 374, 473, 21856, 1736, 203, 29, 473, 312, 361, 739, 473, 225, 14961, 473, 1059, 473, 20168, 1736, 203, 2163, 473, 272, 13177, 473, 225, 302, 297, 298, 275, 473, 1059, 473, 20168, 1736, 203, 2499, 473, 3640, 473, 225, 699, 29650, 473, 374, 473, 21856, 1736, 203, 2138, 473, 7092, 82, 1165, 473, 225, 23152, 1637, 473, 890, 473, 1728, 27, 1736, 203, 3437, 473, 324, 520, 30678, 473, 225, 425, 941, 15314, 473, 404, 473, 1728, 23, 1736, 203, 3461, 473, 677, 89, 275, 473, 225, 392, 21256, 473, 404, 473, 1728, 23, 1736, 203, 3600, 473, 324, 641, 330, 383, 87, 473, 225, 366, 330, 2540, 473, 374, 473, 1728, 26, 1736, 203, 2313, 473, 7494, 2135, 73, 473, 225, 314, 528, 298, 473, 1059, 473, 16344, 1736, 203, 4033, 473, 324, 287, 1075, 69, 473, 225, 312, 292, 473, 404, 473, 1728, 23, 1736, 203, 2643, 473, 324, 485, 79, 407, 473, 225, 283, 878, 287, 2896, 473, 404, 473, 21822, 1736, 203, 3657, 473, 314, 303, 275, 359, 1332, 473, 225, 4422, 1094, 69, 473, 890, 473, 1728, 27, 1736, 203, 3462, 473, 366, 659, 343, 773, 473, 225, 326, 83, 473, 374, 473, 1728, 26, 1736, 203, 5340, 473, 314, 264, 334, 13685, 473, 225, 524, 473, 1381, 473, 30116, 1736, 203, 3787, 473, 5318, 8852, 473, 225, 462, 278, 473, 1381, 473, 30116, 1736, 203, 4366, 473, 7864, 2486, 473, 225, 358, 70, 1385, 473, 1059, 473, 20168, 1736, 203, 3247, 473, 5186, 558, 473, 225, 3812, 2304, 715, 82, 473, 374, 473, 1728, 26, 1736, 203, 2947, 473, 366, 1072, 351, 1072, 473, 225, 462, 970, 287, 473, 404, 473, 21822, 1736, 203, 5558, 473, 635, 86, 379, 473, 225, 324, 25713, 1385, 473, 374, 473, 23633, 1736, 203, 5324, 473, 2901, 94, 292, 473, 225, 525, 973, 473, 374, 473, 23633, 1736, 203, 6030, 473, 331, 304, 90, 549, 278, 473, 225, 4508, 267, 473, 374, 473, 1728, 26, 1736, 203, 5540, 473, 366, 5322, 473, 225, 3058, 737, 1035, 15314, 473, 374, 473, 21856, 1736, 203, 5082, 473, 1183, 497, 87, 473, 225, 525, 17098, 1176, 473, 1381, 473, 30116, 1736, 203, 6938, 473, 11086, 737, 473, 225, 525, 14826, 275, 4644, 473, 374, 473, 1728, 26, 1736, 203, 1578, 473, 854, 76, 485, 473, 225, 3173, 1385, 473, 890, 473, 1728, 27, 1736, 203, 3707, 473, 1086, 15609, 473, 225, 312, 11828, 407, 473, 404, 473, 21822, 1736, 203, 5026, 473, 312, 543, 4558, 473, 225, 31758, 30858, 473, 374, 473, 23633, 1736, 203, 4763, 473, 26025, 538, 975, 473, 225, 328, 1359, 473, 404, 473, 1728, 23, 1736, 203, 5718, 473, 884, 7294, 473, 225, 1261, 566, 304, 473, 1059, 473, 16344, 1736, 203, 6418, 473, 14699, 307, 93, 473, 225, 14961, 1897, 73, 473, 1059, 473, 20168, 1736, 203, 7414, 473, 290, 581, 9795, 297, 69, 473, 225, 699, 264, 265, 473, 374, 473, 23633, 1736, 203, 5520, 473, 384, 577, 473, 225, 699, 481, 30678, 473, 1666, 473, 23543, 1736, 203, 7132, 473, 721, 72, 323, 93, 473, 225, 6143, 8010, 473, 1059, 473, 20168, 1736, 203, 9803, 473, 276, 2450, 6592, 473, 225, 7671, 93, 473, 1381, 473, 30116, 1736, 203, 9452, 473, 18551, 322, 8489, 473, 225, 328, 30427, 298, 473, 1381, 473, 30116, 1736, 203, 8942, 473, 16136, 522, 83, 473, 225, 415, 1917, 473, 1059, 473, 16344, 1736, 203, 6334, 473, 26025, 281, 343, 275, 473, 225, 328, 878, 2758, 736, 473, 1059, 473, 23515, 1736, 203, 7950, 473, 3704, 362, 304, 473, 225, 23670, 765, 1200, 473, 374, 473, 1728, 26, 1736, 203, 8749, 473, 7125, 412, 970, 473, 225, 2142, 6592, 473, 576, 473, 13822, 1736, 203, 9462, 473, 328, 407, 856, 473, 225, 324, 583, 88, 473, 1059, 473, 23515, 1736, 203, 8875, 473, 525, 346, 4644, 18196, 473, 225, 415, 522, 354, 473, 1666, 473, 23543, 1736, 203, 7616, 473, 25581, 70, 473, 225, 699, 304, 8906, 473, 404, 473, 1728, 23, 1736, 203, 3361, 473, 341, 2714, 94, 74, 488, 473, 225, 1464, 280, 345, 473, 374, 473, 1728, 26, 1736, 203, 10593, 473, 436, 634, 749, 473, 225, 721, 72, 693, 473, 404, 473, 21822, 1736, 203, 9401, 473, 290, 378, 11142, 18538, 473, 225, 4513, 1054, 93, 473, 890, 473, 1728, 27, 1736, 203, 8643, 473, 622, 91, 4773, 473, 225, 324, 546, 292, 473, 1381, 473, 30116, 1736, 203, 6564, 473, 17198, 439, 265, 736, 473, 225, 1158, 941, 11821, 473, 576, 473, 13822, 1736, 203, 2539, 473, 268, 435, 91, 1200, 473, 225, 417, 264, 77, 473, 404, 473, 21822, 1736, 203, 4313, 473, 18622, 17240, 473, 225, 392, 1917, 93, 473, 404, 473, 21822, 1736, 203, 10321, 473, 366, 89, 539, 473, 225, 268, 2219, 1072, 69, 473, 1381, 473, 30116, 1736, 203, 8204, 473, 272, 970, 630, 473, 225, 525, 517, 265, 473, 890, 473, 1728, 27, 1736, 203, 6162, 473, 328, 1313, 2679, 473, 225, 314, 528, 298, 473, 1059, 473, 20168, 1736, 203, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1122, 529, 1736, 203, 64, 13138, 5345, 203, 20, 473, 225, 699, 264, 91, 4773, 1736, 203, 21, 473, 225, 23152, 1637, 1736, 203, 22, 473, 225, 4422, 1094, 69, 1736, 203, 23, 473, 225, 3173, 1385, 1736, 203, 24, 473, 225, 4513, 1054, 93, 1736, 203, 25, 473, 225, 525, 517, 265, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 884, 20910, 67, 350, 628, 27464, 1787, 67, 2767, 30321, 1625, 7291, 67, 350, 480, 622, 79, 310, 69, 1611, 471, 366, 17152, 411, 374, 471, 7138, 77, 273, 890, 471, 699, 1648, 374, 578, 7129, 411, 374, 578, 314, 1648, 1059, 9136, 2027, 884, 20910, 67, 350, 628, 3301, 67, 20222, 1625, 884, 20910, 67, 350, 273, 524, 578, 7291, 67, 350, 480, 721, 72, 908, 70, 89, 1611, 471, 3286, 1648, 5342, 11861, 471, 328, 273, 4200, 471, 314, 1545, 10213, 578, 8816, 273, 576, 411, 2121, 67, 529, 34, 294, 27464, 1787, 67, 2767, 30321, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 3643, 473, 7291, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 314, 473, 1223, 473, 436, 473, 366, 473, 1645, 473, 14543, 473, 15407, 473, 7138, 77, 473, 2393, 473, 2873, 473, 7129, 473, 1427, 473, 9834, 70, 473, 366, 17152, 473, 699, 473, 9033, 473, 314, 67, 350, 84, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 5193, 473, 4945, 473, 506, 4169, 70, 89, 1611, 473, 15308, 24, 473, 12391, 473, 404, 473, 576, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 6549, 5193, 473, 4945, 473, 324, 6012, 1094, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 1728, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 6549, 5193, 473, 4945, 473, 5001, 387, 2544, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 1728, 473, 374, 473, 890, 473, 404, 473, 374, 473, 374, 473, 374, 473, 404, 473, 225, 473, 374, 473, 890, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 23, 473, 6549, 5193, 473, 4945, 473, 364, 334, 869, 1611, 473, 15308, 24, 473, 12391, 473, 404, 473, 890, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 6549, 5193, 473, 4945, 473, 417, 1340, 74, 278, 77, 1611, 473, 15308, 24, 473, 12391, 473, 576, 473, 1381, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 1059, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 6549, 5193, 473, 4945, 473, 417, 275, 14891, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 2371, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 576, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 26, 473, 6549, 5193, 473, 4945, 473, 290, 10558, 504, 69, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 1728, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 27, 473, 6549, 5193, 473, 4945, 473, 578, 86, 2414, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 2468, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 28, 473, 6549, 5193, 473, 4945, 473, 283, 7146, 343, 1611, 473, 15308, 24, 473, 12391, 473, 576, 473, 1381, 473, 404, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 29, 473, 6549, 5193, 473, 4945, 473, 721, 12000, 343, 1611, 473, 15308, 24, 473, 12391, 473, 890, 473, 2468, 473, 404, 473, 890, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2163, 473, 6549, 5193, 473, 4945, 473, 268, 3800, 2414, 1611, 473, 15308, 24, 473, 12391, 473, 576, 473, 1381, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2499, 473, 6549, 5193, 473, 4945, 473, 5926, 303, 830, 1611, 473, 450, 473, 7741, 473, 890, 473, 1728, 473, 576, 473, 404, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 225, 473, 404, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2138, 473, 6549, 5193, 473, 4945, 473, 5545, 18538, 78, 73, 1611, 473, 450, 473, 7741, 473, 890, 473, 2468, 473, 890, 473, 1059, 473, 374, 473, 404, 473, 404, 473, 576, 473, 374, 473, 225, 473, 374, 473, 890, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 3437, 473, 6549, 5193, 473, 4945, 473, 10247, 266, 12333, 3103, 473, 450, 473, 7741, 473, 890, 473, 2468, 473, 890, 473, 1059, 473, 576, 473, 374, 473, 374, 473, 374, 473, 404, 473, 225, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 3461, 473, 6549, 5193, 473, 4945, 473, 314, 737, 495, 69, 1611, 473, 450, 473, 7741, 473, 890, 473, 2468, 473, 890, 473, 1059, 473, 576, 473, 374, 473, 374, 473, 576, 473, 374, 473, 225, 473, 374, 473, 404, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 3600, 473, 6549, 5193, 473, 4945, 473, 366, 1465, 8774, 1611, 473, 450, 473, 7741, 473, 890, 473, 1725, 473, 1381, 473, 576, 473, 374, 473, 374, 473, 374, 473, 404, 473, 576, 473, 225, 473, 890, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 1736, 203, 2313, 473, 6549, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 1736, 203, 21, 473, 7741, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 6874, 3631, 268, 22, 18, 73, 628, 777, 67, 10983, 487, 268, 21, 1233, 652, 310, 487, 268, 22, 603, 268, 21, 18, 6874, 273, 268, 22, 18, 6874, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 6874, 13, 473, 425, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 3707, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 26240, 67, 350, 13, 628, 10068, 4877, 67, 267, 67, 8238, 5054, 411, 2121, 67, 529, 34, 294, 10068, 4877, 67, 267, 67, 8238, 5054, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18110, 67, 350, 473, 3023, 5054, 67, 350, 473, 22933, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 890, 473, 4711, 473, 404, 1736, 203, 21, 473, 1725, 473, 5958, 473, 890, 1736, 203, 22, 473, 4648, 473, 1666, 473, 4648, 1736, 203, 23, 473, 2593, 473, 2593, 473, 404, 1736, 203, 24, 473, 5045, 473, 4711, 473, 5958, 1736, 203, 25, 473, 2371, 473, 2371, 473, 1725, 1736, 203, 26, 473, 5958, 473, 2468, 473, 2593, 1736, 203, 27, 473, 1728, 473, 5045, 473, 1725, 1736, 203, 28, 473, 2593, 473, 576, 473, 5958, 1736, 203, 29, 473, 2593, 473, 2593, 473, 404, 1736, 203, 2163, 473, 2468, 473, 4711, 473, 4711, 1736, 203, 2499, 473, 1728, 473, 2371, 473, 2593, 1736, 203, 2138, 473, 5958, 473, 890, 473, 890, 1736, 203, 3437, 473, 1725, 473, 4711, 473, 5045, 1736, 203, 3461, 473, 1725, 473, 5045, 473, 5045, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 26240, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5045, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2077, 628, 21360, 1625, 2657, 280, 273, 296, 334, 16728, 14673, 292, 31317, 11, 411, 2121, 67, 529, 34, 294, 21360, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7501, 473, 2077, 473, 3286, 473, 2657, 280, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13822, 473, 22296, 598, 326, 17064, 473, 5342, 5520, 473, 28873, 280, 284, 3269, 310, 1736, 203, 21, 473, 21822, 473, 10443, 341, 5913, 473, 5342, 4700, 473, 8244, 280, 908, 328, 5286, 345, 1736, 203, 22, 473, 1728, 23, 473, 326, 14190, 434, 26225, 473, 5342, 9222, 473, 721, 25925, 24754, 1736, 203, 23, 473, 21856, 473, 425, 18, 88, 18, 473, 5342, 11149, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 24, 473, 23633, 473, 268, 305, 304, 335, 473, 23673, 27, 473, 525, 753, 5861, 264, 265, 1736, 203, 25, 473, 1728, 26, 473, 272, 3338, 9578, 473, 5342, 6418, 473, 6555, 1736, 203, 26, 473, 1728, 27, 473, 16910, 473, 4044, 29, 473, 525, 753, 5861, 264, 265, 1736, 203, 27, 473, 23515, 473, 767, 24290, 434, 326, 13557, 419, 79, 473, 5342, 11861, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2077, 1736, 203, 64, 13138, 5345, 203, 20, 473, 425, 18, 88, 18, 1736, 203, 21, 473, 767, 24290, 434, 326, 13557, 419, 79, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 884, 20910, 67, 350, 16, 7291, 67, 350, 628, 7291, 67, 69, 2913, 67, 25911, 1625, 19588, 67, 3645, 1545, 374, 578, 279, 2913, 67, 350, 480, 7701, 84, 471, 3286, 411, 5342, 4700, 471, 3143, 67, 1896, 1545, 890, 5718, 578, 884, 20910, 67, 350, 480, 524, 471, 3143, 67, 91, 265, 273, 2371, 18, 20, 9136, 2027, 884, 20910, 67, 350, 16, 7291, 67, 350, 628, 27464, 1787, 1625, 9834, 70, 480, 225, 578, 5927, 67, 350, 273, 2020, 82, 578, 2393, 411, 374, 578, 699, 1545, 374, 471, 384, 474, 273, 404, 578, 436, 480, 374, 578, 314, 1545, 2371, 471, 14543, 480, 374, 578, 9033, 1648, 374, 471, 7138, 77, 273, 225, 578, 2873, 411, 1059, 578, 7129, 1545, 14856, 578, 314, 67, 350, 84, 405, 404, 471, 3286, 1545, 20869, 471, 15407, 1545, 4200, 578, 7291, 67, 350, 480, 284, 8865, 31093, 1611, 471, 366, 17152, 1648, 374, 578, 1223, 1545, 1059, 3437, 471, 1645, 1545, 404, 471, 884, 20910, 67, 350, 480, 524, 578, 366, 273, 1725, 578, 1427, 405, 13159, 411, 2121, 67, 529, 34, 294, 7291, 67, 69, 2913, 67, 25911, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 279, 2913, 67, 350, 473, 3286, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 473, 3143, 67, 91, 265, 473, 3143, 67, 1896, 473, 19588, 67, 3645, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 364, 72, 3350, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 21, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 4447, 80, 291, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 22, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 394, 1559, 83, 1611, 473, 1728, 18, 20, 473, 2872, 473, 1728, 1736, 203, 23, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 24, 473, 6143, 677, 465, 75, 473, 5342, 10321, 473, 12931, 473, 2727, 1527, 3211, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 25, 473, 6143, 677, 465, 75, 473, 5342, 10321, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 4711, 18, 20, 473, 2872, 473, 4711, 1736, 203, 26, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 324, 295, 3771, 73, 1611, 473, 890, 18, 20, 473, 2872, 473, 890, 1736, 203, 27, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 284, 566, 275, 1075, 1611, 473, 890, 18, 20, 473, 2872, 473, 890, 1736, 203, 28, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 29, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 268, 295, 298, 1075, 1611, 473, 1381, 18, 20, 473, 2872, 473, 1381, 1736, 203, 2163, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 525, 265, 403, 69, 3103, 473, 576, 18, 20, 473, 2872, 473, 576, 1736, 203, 2499, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 699, 2219, 1075, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 2138, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 341, 878, 4644, 69, 1611, 473, 5958, 18, 20, 473, 2872, 473, 5958, 1736, 203, 3437, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 23670, 75, 749, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 3461, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 328, 2219, 537, 1611, 473, 1725, 18, 20, 473, 2872, 473, 1725, 1736, 203, 3600, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 312, 4315, 304, 549, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 2313, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 4033, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 364, 72, 3350, 1611, 473, 2468, 18, 20, 473, 6549, 473, 2468, 1736, 203, 2643, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 328, 814, 4840, 1611, 473, 576, 18, 20, 473, 6549, 473, 576, 1736, 203, 3657, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1666, 18, 20, 473, 6549, 473, 1666, 1736, 203, 3462, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 10299, 87, 449, 83, 1611, 473, 5045, 18, 20, 473, 4200, 473, 5045, 1736, 203, 5340, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 293, 2453, 7358, 77, 3103, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 3787, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 5405, 4491, 1075, 1611, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 4366, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 272, 304, 617, 12333, 3103, 473, 1059, 18, 20, 473, 4200, 473, 1059, 1736, 203, 3247, 473, 6143, 677, 465, 75, 473, 5342, 4449, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 4200, 18, 20, 473, 4200, 473, 4200, 1736, 203, 2947, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 3861, 71, 323, 1611, 473, 8043, 18, 20, 473, 4200, 473, 8043, 1736, 203, 5558, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 525, 484, 2069, 69, 1611, 473, 576, 18, 20, 473, 4200, 473, 576, 1736, 203, 5324, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 6030, 473, 6143, 677, 465, 75, 473, 5342, 9222, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 4200, 18, 20, 473, 4200, 473, 4200, 1736, 203, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 473, 1223, 4819, 21102, 1611, 1736, 203, 21, 473, 524, 473, 1223, 1940, 5353, 1611, 1736, 203, 22, 473, 524, 473, 1223, 266, 373, 83, 1611, 1736, 203, 23, 473, 524, 473, 1223, 266, 11501, 83, 3103, 1736, 203, 24, 473, 524, 473, 8479, 1259, 89, 1611, 1736, 203, 25, 473, 524, 473, 1261, 1826, 78, 73, 1611, 1736, 203, 26, 473, 524, 473, 9388, 11453, 1611, 1736, 203, 27, 473, 524, 473, 279, 1600, 359, 13098, 1611, 1736, 203, 28, 473, 524, 473, 1737, 89, 330, 566, 1611, 1736, 203, 29, 473, 524, 473, 1737, 89, 481, 3395, 1611, 1736, 203, 2163, 473, 524, 473, 20952, 264, 12333, 1611, 1736, 203, 2499, 473, 524, 473, 279, 4149, 16524, 1611, 1736, 203, 2138, 473, 524, 473, 279, 4149, 6821, 1611, 1736, 203, 3437, 473, 524, 473, 777, 275, 2196, 1611, 1736, 203, 3461, 473, 524, 473, 777, 1331, 83, 1611, 1736, 203, 3600, 473, 524, 473, 777, 409, 77, 1611, 1736, 203, 2313, 473, 524, 473, 777, 275, 30952, 3103, 1736, 203, 4033, 473, 524, 473, 777, 291, 1075, 1611, 1736, 203, 2643, 473, 524, 473, 524, 2586, 13266, 1611, 1736, 203, 3657, 473, 524, 473, 524, 362, 14349, 1611, 1736, 203, 3462, 473, 524, 473, 524, 362, 345, 69, 3103, 1736, 203, 5340, 473, 524, 473, 3770, 16303, 30952, 1611, 1736, 203, 3787, 473, 524, 473, 524, 3516, 2540, 1611, 1736, 203, 4366, 473, 524, 473, 2125, 297, 12954, 1611, 1736, 203, 3247, 473, 524, 473, 471, 264, 2848, 1611, 1736, 203, 2947, 473, 524, 473, 471, 264, 2848, 3103, 1736, 203, 5558, 473, 524, 473, 471, 264, 2848, 3028, 1736, 203, 5324, 473, 524, 473, 471, 264, 15833, 1611, 1736, 203, 6030, 473, 524, 473, 471, 2764, 77, 1611, 1736, 203, 5540, 473, 524, 473, 471, 8653, 292, 1611, 1736, 203, 5082, 473, 524, 473, 513, 297, 330, 89, 1611, 1736, 203, 6938, 473, 524, 473, 595, 1385, 4491, 1611, 1736, 203, 1578, 473, 524, 473, 27808, 330, 89, 1611, 1736, 203, 3707, 473, 524, 473, 6637, 8987, 1611, 1736, 203, 5026, 473, 524, 473, 23563, 689, 83, 1611, 1736, 203, 4763, 473, 524, 473, 419, 303, 78, 303, 1611, 1736, 203, 5718, 473, 524, 473, 419, 3800, 28832, 1611, 1736, 203, 6418, 473, 524, 473, 31350, 407, 2896, 1611, 1736, 203, 7414, 473, 524, 473, 279, 19445, 29083, 1611, 1736, 203, 5520, 473, 524, 473, 279, 641, 8302, 77, 1611, 1736, 203, 7132, 473, 524, 473, 23713, 1385, 69, 1611, 1736, 203, 9803, 473, 524, 473, 1712, 330, 69, 287, 1611, 1736, 203, 9452, 473, 524, 473, 1712, 330, 378, 83, 1611, 1736, 203, 8942, 473, 524, 473, 1712, 398, 9197, 1611, 1736, 203, 6334, 473, 524, 473, 324, 378, 335, 30952, 1611, 1736, 203, 7950, 473, 524, 473, 324, 30258, 674, 1611, 1736, 203, 8749, 473, 524, 473, 9846, 18639, 5353, 1611, 1736, 203, 9462, 473, 524, 473, 13189, 1637, 21102, 3103, 1736, 203, 8875, 473, 524, 473, 324, 9795, 2387, 334, 1611, 1736, 203, 7616, 473, 524, 473, 9846, 398, 304, 1611, 1736, 203, 3361, 473, 524, 473, 324, 530, 73, 3395, 1611, 1736, 203, 10593, 473, 524, 473, 324, 6388, 4840, 1611, 1736, 203, 9401, 473, 524, 473, 324, 287, 70, 669, 1611, 1736, 203, 8643, 473, 524, 473, 324, 287, 765, 83, 1611, 1736, 203, 6564, 473, 524, 473, 324, 287, 22512, 12333, 1611, 1736, 203, 2539, 473, 524, 473, 26503, 4365, 73, 1611, 1736, 203, 4313, 473, 524, 473, 8937, 12029, 1611, 1736, 203, 10321, 473, 524, 473, 324, 1072, 495, 86, 1611, 1736, 203, 8204, 473, 524, 473, 4653, 12729, 1611, 1736, 203, 6162, 473, 524, 473, 4653, 74, 8302, 73, 1611, 1736, 203, 4848, 473, 524, 473, 4653, 266, 2540, 3103, 1736, 203, 9498, 473, 524, 473, 4653, 1176, 12333, 1611, 1736, 203, 8898, 473, 524, 473, 324, 485, 329, 77, 1611, 1736, 203, 4449, 473, 524, 473, 324, 485, 80, 12333, 1611, 1736, 203, 1105, 473, 524, 473, 324, 428, 80, 30952, 1611, 1736, 203, 9222, 473, 524, 473, 27464, 376, 83, 1611, 1736, 203, 6028, 473, 524, 473, 27464, 22579, 69, 1611, 1736, 203, 9599, 473, 524, 473, 9846, 6211, 3395, 1611, 1736, 203, 9470, 473, 524, 473, 9846, 379, 25420, 1611, 1736, 203, 8148, 473, 524, 473, 324, 5854, 8302, 83, 3103, 1736, 203, 7301, 473, 524, 473, 324, 528, 12333, 1611, 1736, 203, 11212, 473, 524, 473, 324, 528, 80, 7370, 1611, 1736, 203, 9060, 473, 524, 473, 506, 1060, 908, 1611, 1736, 203, 9036, 473, 524, 473, 506, 363, 73, 30952, 3103, 1736, 203, 5608, 473, 524, 473, 506, 363, 76, 3240, 1611, 1736, 203, 5877, 473, 524, 473, 14562, 14500, 1611, 1736, 203, 6669, 473, 524, 473, 3952, 304, 2540, 1611, 1736, 203, 4700, 473, 524, 473, 324, 1165, 2196, 1611, 1736, 203, 8285, 473, 524, 473, 324, 1165, 70, 89, 1611, 1736, 203, 7235, 473, 524, 473, 3952, 298, 287, 1611, 1736, 203, 3672, 473, 524, 473, 324, 1165, 15833, 1611, 1736, 203, 11861, 473, 524, 473, 324, 1165, 908, 3103, 1736, 203, 11149, 473, 524, 473, 3952, 313, 361, 1611, 1736, 203, 10261, 473, 524, 473, 3952, 313, 5353, 1611, 1736, 203, 5193, 473, 524, 473, 324, 275, 323, 343, 1611, 1736, 203, 7140, 473, 524, 473, 324, 24688, 947, 73, 1611, 1736, 203, 5292, 473, 524, 473, 324, 275, 18638, 78, 89, 1611, 1736, 203, 11035, 473, 524, 473, 324, 29565, 287, 1611, 1736, 203, 5482, 473, 524, 473, 27965, 297, 30952, 1611, 1736, 203, 6675, 473, 524, 473, 324, 822, 12333, 1611, 1736, 203, 9349, 473, 524, 473, 27965, 435, 83, 1611, 1736, 203, 12416, 473, 524, 473, 27965, 303, 304, 1611, 1736, 203, 9975, 473, 524, 473, 2701, 304, 323, 1611, 1736, 203, 11180, 473, 524, 473, 2701, 3428, 8683, 1611, 1736, 203, 11290, 473, 524, 473, 324, 754, 87, 908, 1611, 1736, 203, 8778, 473, 524, 473, 324, 3985, 8302, 83, 1611, 1736, 203, 10525, 473, 524, 473, 2 ] ]

[ [ 1, 4025, 7291, 67, 350, 628, 7291, 67, 69, 2913, 1625, 3286, 480, 5342, 3461, 1335, 2027, 7291, 67, 350, 628, 7291, 1625, 508, 67, 10822, 273, 1844, 330, 625, 341, 22628, 471, 7291, 67, 350, 273, 23563, 334, 9197, 1611, 471, 17057, 67, 9082, 480, 584, 69, 471, 324, 2323, 273, 324, 471, 508, 67, 3645, 273, 525, 280, 908, 578, 443, 421, 67, 9082, 273, 225, 471, 443, 421, 67, 7496, 273, 225, 471, 17057, 67, 6874, 405, 5342, 6030, 471, 443, 421, 67, 2019, 273, 3474, 471, 727, 67, 13957, 273, 5342, 5193, 17, 5908, 17, 5082, 471, 325, 303, 67, 350, 273, 1443, 298, 15168, 578, 508, 67, 2722, 273, 24975, 577, 94, 471, 443, 12885, 273, 5342, 3600, 17, 5908, 17, 3462, 471, 17057, 67, 2881, 411, 4648, 578, 2072, 1545, 30338, 471, 17057, 67, 14240, 273, 732, 481, 1917, 411, 2121, 67, 529, 34, 294, 7291, 67, 69, 2913, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 279, 2913, 67, 350, 473, 3286, 473, 884, 20910, 67, 350, 473, 25318, 473, 10913, 1736, 203, 64, 13138, 5345, 203, 20, 473, 8427, 869, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 6549, 4700, 473, 7741, 473, 225, 473, 225, 1736, 203, 21, 473, 366, 1465, 8774, 1611, 473, 14543, 276, 26253, 473, 6549, 8285, 473, 7741, 473, 225, 473, 225, 1736, 203, 22, 473, 366, 762, 1332, 89, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 6549, 5193, 473, 12391, 473, 225, 473, 225, 1736, 203, 23, 473, 6719, 1075, 343, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 6549, 5193, 473, 7741, 473, 225, 473, 225, 1736, 203, 24, 473, 1245, 4526, 77, 1611, 473, 14543, 276, 26253, 473, 404, 5482, 27, 473, 12391, 473, 225, 473, 225, 1736, 203, 25, 473, 417, 1340, 74, 278, 77, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 404, 5482, 28, 473, 7741, 473, 225, 473, 225, 1736, 203, 26, 473, 927, 1313, 30952, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 404, 5482, 29, 473, 7741, 473, 225, 473, 225, 1736, 203, 27, 473, 436, 407, 1385, 301, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 6549, 11290, 473, 7741, 473, 225, 473, 225, 1736, 203, 28, 473, 302, 3809, 93, 76, 89, 1611, 473, 14543, 276, 26253, 473, 6549, 11290, 473, 7741, 473, 225, 473, 225, 1736, 203, 29, 473, 677, 465, 75, 2431, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 5342, 1611, 473, 524, 473, 225, 473, 225, 1736, 203, 2163, 473, 328, 4365, 885, 69, 1611, 473, 14543, 276, 26253, 473, 5342, 1611, 473, 524, 473, 225, 473, 225, 1736, 203, 2499, 473, 341, 361, 765, 89, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 5342, 6260, 473, 524, 473, 225, 473, 225, 1736, 203, 2138, 473, 4233, 8987, 1611, 473, 14486, 310, 14543, 276, 26253, 473, 5342, 6260, 473, 7741, 473, 225, 473, 225, 1736, 203, 3437, 473, 462, 448, 3395, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 404, 70, 1736, 203, 3461, 473, 328, 4365, 885, 69, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 576, 70, 1736, 203, 3600, 473, 328, 517, 3395, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 890, 70, 1736, 203, 2313, 473, 4422, 360, 24214, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 276, 1736, 203, 4033, 473, 272, 420, 495, 77, 4630, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 276, 1736, 203, 2643, 473, 276, 1899, 2556, 69, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 6080, 1736, 203, 3657, 473, 384, 476, 908, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 18594, 1736, 203, 3462, 473, 29051, 674, 329, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 293, 21, 1736, 203, 5340, 473, 677, 465, 75, 2431, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 293, 22, 1736, 203, 3787, 473, 341, 361, 765, 89, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 293, 23, 1736, 203, 4366, 473, 525, 8464, 361, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 293, 24, 1736, 203, 3247, 473, 2727, 1527, 13266, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 293, 25, 1736, 203, 2947, 473, 12731, 70, 4098, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 9075, 1736, 203, 5558, 473, 17662, 378, 83, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 524, 473, 225, 473, 5202, 1736, 203, 5324, 473, 462, 448, 3395, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 12931, 473, 225, 473, 404, 70, 1736, 203, 6030, 473, 328, 4365, 885, 69, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 12931, 473, 225, 473, 576, 70, 1736, 203, 5540, 473, 4461, 549, 297, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 12931, 473, 225, 473, 890, 70, 1736, 203, 5082, 473, 324, 455, 82, 303, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 12931, 473, 225, 473, 276, 1736, 203, 6938, 473, 417, 2456, 30952, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 17, 10983, 473, 5342, 6840, 473, 12931, 473, 225, 473, 276, 1736, 203, 1578, 473, 2727, 7091, 77, 1611, 473, 1026, 19067, 4447, 1561, 558, 777, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 279, 297, 265, 3395, 1611, 1736, 203, 21, 473, 1223, 4819, 21102, 1611, 1736, 203, 22, 473, 279, 744, 496, 73, 3103, 1736, 203, 23, 473, 1223, 266, 373, 83, 1611, 1736, 203, 24, 473, 1223, 266, 11501, 83, 3103, 1736, 203, 25, 473, 1261, 301, 87, 12124, 1611, 1736, 203, 26, 473, 9388, 11453, 1611, 1736, 203, 27, 473, 279, 2679, 2937, 1611, 1736, 203, 28, 473, 20952, 264, 12333, 1611, 1736, 203, 29, 473, 279, 4149, 1273, 1611, 1736, 203, 2163, 473, 524, 74, 265, 304, 1611, 1736, 203, 2499, 473, 524, 74, 8184, 1611, 1736, 203, 2138, 473, 777, 409, 77, 1611, 1736, 203, 3437, 473, 777, 275, 30952, 3103, 1736, 203, 3461, 473, 524, 30678, 908, 1611, 1736, 203, 3600, 473, 777, 291, 1075, 1611, 1736, 203, 2313, 473, 524, 362, 14349, 1611, 1736, 203, 4033, 473, 524, 362, 345, 69, 3103, 1736, 203, 2643, 473, 279, 383, 696, 73, 1611, 1736, 203, 3657, 473, 279, 383, 379, 69, 1611, 1736, 203, 3462, 473, 279, 383, 379, 83, 1611, 1736, 203, 5340, 473, 3770, 16303, 30952, 1611, 1736, 203, 3787, 473, 524, 1401, 347, 1611, 1736, 203, 4366, 473, 2125, 297, 280, 89, 1611, 1736, 203, 3247, 473, 471, 264, 15833, 1611, 1736, 203, 2947, 473, 471, 11501, 30952, 1611, 1736, 203, 5558, 473, 392, 1917, 30952, 3103, 1736, 203, 5324, 473, 513, 297, 330, 89, 1611, 1736, 203, 6030, 473, 27808, 330, 89, 1611, 1736, 203, 5540, 473, 6637, 73, 21102, 1611, 1736, 203, 5082, 473, 11526, 31922, 1611, 1736, 203, 6938, 473, 23563, 689, 83, 1611, 1736, 203, 1578, 473, 419, 566, 73, 12333, 1611, 1736, 203, 3707, 473, 419, 3800, 2848, 1611, 1736, 203, 5026, 473, 419, 3800, 28832, 1611, 1736, 203, 4763, 473, 279, 295, 330, 566, 1611, 1736, 203, 5718, 473, 279, 407, 81, 373, 86, 1611, 1736, 203, 6418, 473, 23713, 1385, 69, 1611, 1736, 203, 7414, 473, 23713, 1094, 1611, 1736, 203, 5520, 473, 1712, 330, 69, 287, 1611, 1736, 203, 7132, 473, 1712, 330, 378, 83, 1611, 1736, 203, 9803, 473, 1740, 1884, 30952, 1611, 1736, 203, 9452, 473, 26179, 287, 378, 83, 1611, 1736, 203, 8942, 473, 26179, 3215, 264, 1611, 1736, 203, 6334, 473, 9846, 18639, 5353, 1611, 1736, 203, 7950, 473, 13189, 1637, 21102, 1611, 1736, 203, 8749, 473, 13189, 1637, 21102, 3103, 1736, 203, 9462, 473, 13189, 1814, 78, 73, 1611, 1736, 203, 8875, 473, 324, 9795, 2387, 334, 1611, 1736, 203, 7616, 473, 9846, 398, 304, 1611, 1736, 203, 3361, 473, 324, 530, 73, 3395, 1611, 1736, 203, 10593, 473, 324, 6388, 2544, 1611, 1736, 203, 9401, 473, 324, 6388, 4840, 1611, 1736, 203, 8643, 473, 25732, 3353, 2414, 1611, 1736, 203, 6564, 473, 8937, 12029, 1611, 1736, 203, 2539, 473, 11218, 550, 1611, 1736, 203, 4313, 473, 4653, 74, 8302, 73, 1611, 1736, 203, 10321, 473, 324, 1303, 329, 69, 1611, 1736, 203, 8204, 473, 324, 1303, 73, 78, 73, 1611, 1736, 203, 6162, 473, 4653, 266, 2540, 3103, 1736, 203, 4848, 473, 4653, 2764, 77, 1611, 1736, 203, 9498, 473, 4653, 86, 822, 1611, 1736, 203, 8898, 473, 4653, 1176, 12333, 1611, 1736, 203, 4449, 473, 324, 485, 329, 77, 1611, 1736, 203, 1105, 473, 324, 428, 80, 30952, 1611, 1736, 203, 9222, 473, 27464, 22579, 69, 1611, 1736, 203, 6028, 473, 324, 5854, 8302, 83, 3103, 1736, 203, 9599, 473, 324, 528, 12333, 1611, 1736, 203, 9470, 473, 324, 528, 80, 7370, 1611, 1736, 203, 8148, 473, 506, 1561, 80, 30952, 1611, 1736, 203, 7301, 473, 506, 363, 1332, 80, 1611, 1736, 203, 11212, 473, 506, 363, 73, 30952, 3103, 1736, 203, 9060, 473, 506, 363, 303, 1611, 1736, 203, 9036, 473, 14562, 303, 334, 1611, 1736, 203, 5608, 473, 3952, 304, 2540, 1611, 1736, 203, 5877, 473, 324, 1165, 70, 89, 1611, 1736, 203, 6669, 473, 3952, 298, 287, 1611, 1736, 203, 4700, 473, 324, 1165, 908, 3103, 1736, 203, 8285, 473, 324, 1165, 580, 1611, 1736, 203, 7235, 473, 324, 1165, 12333, 1611, 1736, 203, 3672, 473, 3952, 313, 361, 1611, 1736, 203, 11861, 473, 3952, 313, 5353, 1611, 1736, 203, 11149, 473, 22499, 30952, 1611, 1736, 203, 10261, 473, 324, 275, 323, 343, 1611, 1736, 203, 5193, 473, 324, 275, 18638, 78, 89, 1611, 1736, 203, 7140, 473, 324, 275, 305, 297, 1611, 1736, 203, 5292, 473, 324, 319, 355, 69, 1611, 1736, 203, 11035, 473, 324, 18639, 359, 69, 1611, 1736, 203, 5482, 473, 27965, 79, 781, 69, 1611, 1736, 203, 6675, 473, 324, 8865, 31093, 1611, 1736, 203, 9349, 473, 27965, 435, 83, 1611, 1736, 203, 12416, 473, 27965, 303, 304, 1611, 1736, 203, 9975, 473, 324, 21938, 4491, 1611, 1736, 203, 11180, 473, 25581, 1637, 21102, 1611, 1736, 203, 11290, 473, 324, 1354, 329, 69, 1611, 1736, 203, 8778, 473, 5446, 70, 26881, 1611, 1736, 203, 10525, 473, 5446, 75, 335, 86, 1611, 1736, 203, 10580, 473, 7721, 359, 1611, 1736, 203, 10689, 473, 7721, 30952, 3103, 1736, 203, 2733, 473, 2811, 1826, 8774, 1611, 1736, 203, 6625, 473, 2811, 69, 407, 78, 73, 1611, 1736, 203, 15168, 473, 24706, 507, 6319, 1611, 1736, 203, 20481, 473, 8024, 19340, 1611, 1736, 203, 23494, 473, 8024, 522, 1611, 1736, 203, 21869, 473, 324, 369, 3509, 77, 1611, 1736, 203, 21661, 473, 324, 717, 69, 338, 69, 1611, 1736, 203, 22135, 473, 324, 717, 564, 91, 69, 1611, 1736, 203, 23054, 473, 21506, 10256, 86, 1611, 1736, 203, 21770, 473, 15692, 12124, 1611, 1736, 203, 22267, 473, 15692, 1075, 1611, 1736, 203, 17506, 473, 8427, 869, 1611, 1736, 203, 20227, 473, 324, 265, 11304, 77, 1611, 1736, 203, 17666, 473, 324, 265, 330, 1075, 1611, 1736, 203, 23379, 473, 800, 476, 1075, 1611, 1736, 203, 22214, 473, 800, 476, 2848, 1611, 1736, 203, 22062, 473, 324, 280, 323, 8774, 1611, 1736, 203, 20562, 473, 324, 280, 543, 3395, 1611, 1736, 203, 23454, 473, 324, 280, 543, 30952, 1611, 1736, 203, 25652, 473, 2512, 869, 21102, 1611, 1736, 203, 23635, 473, 800, 1100, 86, 2 ] ]

[ [ 1, 4025, 5927, 67, 350, 16, 7291, 67, 350, 16, 884, 20910, 67, 350, 628, 9788, 6872, 1625, 10763, 1648, 374, 578, 314, 67, 21, 70, 1545, 374, 471, 314, 67, 84, 273, 3847, 471, 314, 67, 5809, 405, 374, 1335, 2027, 5927, 67, 350, 16, 7291, 67, 350, 16, 884, 20910, 67, 350, 628, 652, 310, 1625, 7291, 67, 350, 480, 578, 477, 4840, 1611, 578, 6357, 480, 225, 578, 425, 405, 576, 578, 314, 480, 5958, 471, 2393, 480, 225, 471, 279, 480, 2371, 471, 384, 474, 411, 404, 471, 6386, 480, 225, 471, 5927, 67, 350, 273, 7081, 82, 471, 316, 82, 67, 20125, 405, 21119, 471, 8275, 1648, 374, 471, 998, 86, 480, 225, 411, 2121, 67, 529, 34, 294, 9788, 6872, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 473, 314, 67, 454, 473, 10763, 473, 314, 67, 28260, 1787, 473, 314, 67, 536, 3558, 473, 314, 67, 84, 473, 314, 67, 71, 473, 314, 67, 21, 70, 473, 314, 67, 22, 70, 473, 314, 67, 23, 70, 473, 314, 67, 1049, 473, 314, 67, 20850, 473, 314, 67, 8522, 473, 314, 67, 5809, 473, 314, 67, 792, 473, 314, 67, 19153, 473, 314, 67, 844, 473, 314, 67, 683, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 4653, 1224, 83, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 2872, 473, 374, 473, 4711, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 4653, 303, 4840, 1611, 473, 6549, 473, 225, 473, 6549, 473, 6549, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 374, 473, 5958, 473, 374, 473, 1059, 473, 8043, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 324, 481, 2377, 2414, 1611, 473, 12899, 473, 225, 473, 12899, 473, 12899, 473, 374, 473, 2371, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 12732, 473, 12732, 473, 225, 473, 225, 473, 225, 1736, 203, 23, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 356, 73, 4840, 1611, 473, 5342, 473, 225, 473, 5342, 473, 5342, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 6549, 473, 374, 473, 404, 473, 6549, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 314, 1006, 343, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 5196, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 404, 473, 404, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 525, 484, 1049, 69, 1611, 473, 2872, 473, 225, 473, 2872, 473, 2872, 473, 374, 473, 374, 473, 374, 473, 5045, 473, 374, 473, 404, 473, 374, 473, 404, 473, 374, 473, 404, 473, 225, 473, 225, 473, 225, 1736, 203, 26, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 6108, 9062, 5353, 1611, 473, 12899, 473, 225, 473, 12899, 473, 12899, 473, 374, 473, 12899, 473, 374, 473, 374, 473, 404, 473, 374, 473, 374, 473, 374, 473, 1381, 473, 1381, 473, 225, 473, 225, 473, 225, 1736, 203, 27, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 18551, 1727, 3395, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 374, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 28, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 1694, 287, 72, 287, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 8231, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 2468, 473, 374, 473, 2468, 473, 225, 473, 225, 473, 225, 1736, 203, 29, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 12408, 2031, 908, 1611, 473, 2872, 473, 225, 473, 2872, 473, 2872, 473, 374, 473, 374, 473, 404, 473, 374, 473, 374, 473, 4711, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 2163, 473, 6549, 11212, 473, 7081, 21, 473, 225, 473, 12408, 2031, 3395, 1611, 473, 8231, 473, 225, 473, 8231, 473, 8231, 473, 2468, 473, 374, 473, 374, 473, 374, 473, 374, 473, 404, 473, 374, 473, 5196, 473, 374, 473, 5196, 473, 225, 473, 225, 473, 225, 1736, 203, 2499, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 5186, 1072, 9197, 1611, 473, 890, 473, 225, 473, 890, 473, 890, 473, 374, 473, 374, 473, 374, 473, 374, 473, 890, 473, 374, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 2138, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 302, 3809, 93, 329, 1611, 473, 10659, 473, 225, 473, 10659, 473, 10659, 473, 374, 473, 374, 473, 374, 473, 374, 473, 404, 473, 10659, 473, 374, 473, 374, 473, 374, 473, 374, 473, 225, 473, 225, 473, 225, 1736, 203, 3437, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 284, 790, 93, 869, 1611, 473, 6549, 473, 225, 473, 6549, 473, 6549, 473, 374, 473, 1059, 473, 374, 473, 374, 473, 404, 473, 374, 473, 576, 473, 2468, 473, 1381, 473, 2872, 473, 225, 473, 225, 473, 225, 1736, 203, 3461, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 366, 1145, 343, 1611, 473, 9131, 473, 225, 473, 9131, 473, 9131, 473, 374, 473, 4200, 473, 374, 473, 374, 473, 1728, 473, 404, 473, 374, 473, 890, 473, 404, 473, 1059, 473, 225, 473, 225, 473, 225, 1736, 203, 3600, 473, 6549, 11212, 473, 462, 21, 473, 225, 473, 417, 310, 2540, 1611, 473, 4200, 473, 225, 473, 4200, 473, 4200, 473, 374, 473, 2468, 473, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 5927, 67, 350, 473, 7291, 67, 350, 473, 884, 20910, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 419, 77, 473, 17895, 566, 91, 77, 2163, 473, 7741, 1736, 203, 21, 473, 622, 80, 473, 324, 1165, 736, 1611, 473, 7741, 1736, 203, 22, 473, 622, 80, 473, 276, 492, 28231, 1611, 473, 7741, 1736, 203, 23, 473, 622, 80, 473, 302, 842, 3337, 1611, 473, 7741, 1736, 203, 24, 473, 622, 80, 473, 15324, 343, 9197, 1611, 473, 7741, 1736, 203, 25, 473, 622, 80, 473, 23657, 69, 304, 1611, 473, 7741, 1736, 203, 26, 473, 324, 287, 473, 1844, 1992, 2894, 1611, 473, 524, 1736, 203, 27, 473, 324, 287, 473, 699, 77, 292, 869, 1611, 473, 524, 1736, 203, 28, 473, 23904, 473, 635, 13623, 21102, 1611, 473, 524, 1736, 203, 29, 473, 23904, 473, 525, 9304, 28832, 3103, 473, 524, 1736, 203, 2163, 473, 23904, 473, 293, 481, 16391, 3197, 1611, 473, 524, 1736, 203, 2499, 473, 462, 82, 473, 10004, 361, 1611, 473, 7741, 1736, 203, 2138, 473, 462, 82, 473, 23953, 637, 908, 1611, 473, 7741, 1736, 203, 3437, 473, 462, 82, 473, 437, 90, 360, 12333, 1611, 473, 7741, 1736, 203, 3461, 473, 462, 82, 473, 4262, 292, 7282, 1611, 473, 7741, 1736, 203, 3600, 473, 276, 267, 473, 1223, 361, 304, 1611, 473, 7741, 1736, 203, 2313, 473, 276, 267, 473, 284, 649, 8806, 1611, 473, 7741, 1736, 203, 4033, 473, 276, 267, 473, 314, 330, 78, 73, 1611, 473, 7741, 1736, 203, 2643, 473, 276, 267, 473, 1158, 311, 8774, 1611, 473, 7741, 1736, 203, 3657, 473, 276, 267, 473, 6002, 26881, 1611, 473, 7741, 1736, 203, 3462, 473, 276, 267, 473, 272, 970, 10610, 1611, 473, 7741, 1736, 203, 5340, 473, 276, 267, 473, 29051, 3069, 18465, 3103, 473, 7741, 1736, 203, 3787, 473, 276, 267, 473, 341, 2323, 947, 86, 1611, 473, 7741, 1736, 203, 4366, 473, 1619, 473, 1740, 1884, 30952, 1611, 473, 7741, 1736, 203, 3247, 473, 1619, 473, 19477, 94, 11821, 1611, 473, 524, 1736, 203, 2947, 473, 1619, 473, 328, 19445, 351, 69, 1611, 473, 524, 1736, 203, 5558, 473, 1619, 473, 6205, 2848, 2163, 473, 524, 1736, 203, 5324, 473, 645, 473, 777, 275, 28832, 1611, 473, 7741, 1736, 203, 6030, 473, 645, 473, 8793, 816, 9096, 1611, 473, 7741, 1736, 203, 5540, 473, 645, 473, 695, 7142, 2547, 1611, 473, 7741, 1736, 203, 5082, 473, 3023, 473, 927, 1313, 78, 73, 3103, 473, 524, 1736, 203, 6938, 473, 3023, 473, 9583, 76, 280, 13266, 1611, 473, 524, 1736, 203, 1578, 473, 3023, 473, 3029, 483, 343, 5908, 473, 524, 1736, 203, 3707, 473, 20802, 473, 437, 347, 94, 3501, 1611, 473, 7741, 1736, 203, 5026, 473, 366, 1395, 473, 1464, 297, 78, 73, 1611, 473, 7741, 1736, 203, 4763, 473, 366, 1395, 473, 314, 9304, 580, 1611, 473, 7741, 1736, 203, 5718, 473, 366, 1395, 473, 23657, 26223, 1611, 473, 7741, 1736, 203, 6418, 473, 366, 1395, 473, 998, 538, 18465, 329, 1611, 473, 7741, 1736, 203, 7414, 473, 417, 5353, 473, 324, 428, 354, 1611, 473, 524, 1736, 203, 5520, 473, 417, 5353, 473, 721, 4757, 830, 1611, 473, 524, 1736, 203, 7132, 473, 417, 3353, 473, 25666, 275, 792, 86, 1611, 473, 524, 1736, 203, 9803, 473, 417, 3353, 473, 276, 790, 81, 5353, 1611, 473, 524, 1736, 203, 9452, 473, 417, 3353, 473, 276, 790, 81, 383, 1611, 473, 524, 1736, 203, 8942, 473, 417, 3353, 473, 4508, 305, 77, 1611, 473, 524, 1736, 203, 6334, 473, 417, 3353, 473, 276, 492, 7598, 1611, 473, 524, 1736, 203, 7950, 473, 417, 3353, 473, 302, 842, 291, 91, 69, 1611, 473, 524, 1736, 203, 8749, 473, 417, 3353, 473, 574, 4644, 2848, 1611, 473, 524, 1736, 203, 9462, 473, 417, 3353, 473, 314, 479, 736, 1611, 473, 524, 1736, 203, 8875, 473, 417, 3353, 473, 22336, 266, 4491, 1611, 473, 524, 1736, 203, 7616, 473, 417, 3353, 473, 366, 22382, 346, 86, 1611, 473, 524, 1736, 203, 3361, 473, 417, 3353, 473, 525, 2584, 27249, 1611, 473, 524, 1736, 203, 10593, 473, 417, 3353, 473, 312, 12954, 362, 77, 1611, 473, 524, 1736, 203, 9401, 473, 417, 3353, 473, 13999, 78, 89, 1611, 473, 524, 1736, 203, 8643, 473, 417, 3353, 473, 14264, 1727, 86, 1611, 473, 524, 1736, 203, 6564, 473, 417, 3353, 473, 721, 72, 566, 91, 77, 3103, 473, 524, 1736, 203, 2539, 473, 328, 304, 473, 302, 842, 291, 70, 89, 3103, 473, 7741, 1736, 203, 4313, 473, 328, 304, 473, 366, 737, 28179, 1611, 473, 7741, 1736, 203, 10321, 473, 328, 304, 473, 3161, 344, 343, 1611, 473, 7741, 1736, 203, 8204, 473, 328, 304, 473, 312, 292, 76, 89, 361, 1611, 473, 7741, 1736, 203, 6162, 473, 328, 304, 473, 286, 1742, 21102, 1611, 473, 7741, 1736, 203, 4848, 473, 328, 304, 473, 341, 2390, 21319, 1611, 473, 7741, 1736, 203, 9498, 473, 328, 304, 473, 341, 16607, 329, 1611, 473, 7741, 1736, 203, 8898, 473, 312, 1155, 473, 10004, 361, 1611, 473, 7741, 1736, 203, 4449, 473, 312, 330, 473, 312, 538, 372, 78, 89, 1611, 473, 7741, 1736, 203, 1105, 473, 312, 330, 473, 283, 329, 78, 73, 4630, 473, 7741, 1736, 203, 9222, 473, 312, 330, 473, 12814, 362, 304, 1611, 473, 7741, 1736, 203, 6028, 473, 6921, 473, 4653, 303, 869, 1611, 473, 7741, 1736, 203, 9599, 473, 6921, 473, 328, 19445, 1077, 303, 1611, 473, 7741, 1736, 203, 9470, 473, 6921, 473, 1844, 1992, 4491, 1611, 473, 7741, 1736, 203, 8148, 473, 15308, 69, 473, 366, 637, 580, 4491, 1611, 473, 524, 1736, 203, 7301, 473, 15308, 69, 473, 328, 19445, 351, 69, 1611, 473, 524, 1736, 203, 11212, 473, 15308, 69, 473, 272, 304, 343, 15833, 3103, 473, 524, 1736, 203, 9060, 473, 15308, 69, 473, 695, 378, 538, 71, 1611, 473, 524, 1736, 203, 9036, 473, 290, 878, 473, 324, 25713, 11061, 1611, 473, 7741, 1736, 203, 5608, 473, 290, 878, 473, 364, 15680, 2848, 1611, 473, 7741, 1736, 203, 5877, 473, 290, 2 ] ]

[ [ 1, 4025, 268, 22, 18, 529, 628, 4691, 67, 17894, 487, 268, 21, 1233, 13282, 487, 268, 22, 603, 268, 21, 18, 17894, 67, 350, 225, 273, 225, 268, 22, 18, 17894, 67, 350, 1041, 635, 268, 21, 18, 17894, 67, 350, 7999, 1056, 24099, 225, 1545, 225, 576, 411, 2121, 67, 529, 34, 294, 13282, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 13282, 67, 350, 473, 508, 473, 8226, 1462, 67, 4099, 67, 8593, 473, 8226, 1462, 67, 2761, 6329, 473, 2078, 67, 5466, 275, 6215, 473, 2117, 473, 2774, 67, 8387, 473, 1300, 67, 792, 67, 9898, 87, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 328, 1434, 265, 16313, 383, 83, 473, 31069, 18, 3028, 26, 473, 2468, 18, 24, 6675, 473, 1728, 23, 18, 25, 5026, 473, 328, 1434, 265, 473, 24516, 341, 281, 798, 2774, 980, 27697, 434, 570, 7043, 464, 2774, 980, 473, 5342, 1736, 203, 21, 473, 576, 473, 328, 1434, 265, 28873, 280, 1155, 473, 22997, 18, 4366, 21, 473, 2468, 18, 27985, 473, 19692, 18, 7414, 473, 328, 1434, 265, 473, 18622, 265, 2774, 980, 462, 421, 301, 2774, 980, 473, 5342, 1736, 203, 22, 473, 890, 473, 328, 1434, 265, 10105, 473, 18106, 18, 4449, 24, 473, 1725, 18, 5608, 22, 473, 17845, 18, 6418, 26, 473, 328, 1434, 265, 473, 24516, 425, 2440, 82, 2774, 980, 286, 753, 1232, 473, 2593, 1736, 203, 23, 473, 1059, 473, 328, 1434, 265, 328, 1667, 6011, 19382, 473, 15981, 18, 23054, 473, 576, 18, 4763, 22, 7991, 7991, 7991, 28, 473, 14995, 18, 8749, 473, 328, 1434, 265, 473, 18825, 425, 2440, 82, 2774, 980, 27697, 7603, 549, 69, 2774, 980, 473, 6549, 1736, 203, 24, 473, 1381, 473, 328, 1434, 265, 425, 641, 265, 473, 6580, 18, 4848, 29, 473, 890, 18, 28, 1578, 473, 8063, 18, 6334, 473, 328, 1434, 265, 473, 27697, 1825, 689, 2774, 980, 473, 6549, 1736, 203, 25, 473, 1666, 473, 328, 1434, 265, 1149, 310, 6828, 473, 18012, 18, 28564, 473, 404, 18, 2733, 473, 16977, 18, 2733, 25, 473, 328, 1434, 265, 473, 24516, 425, 2440, 82, 2774, 980, 473, 1666, 1736, 203, 26, 473, 2371, 473, 324, 3985, 310, 31698, 394, 19382, 473, 8231, 18, 22, 3461, 473, 1381, 18, 25652, 473, 6580, 18, 3707, 21, 473, 324, 3985, 310, 31698, 473, 27697, 1825, 689, 2774, 980, 6828, 5251, 1946, 473, 5958, 1736, 203, 27, 473, 1725, 473, 328, 1434, 265, 417, 310, 1807, 6828, 473, 12732, 18, 28, 5877, 473, 890, 18, 3103, 22, 473, 5196, 18, 6675, 26, 473, 328, 1434, 265, 473, 19720, 1825, 689, 2774, 980, 473, 2593, 1736, 203, 28, 473, 2468, 473, 5118, 345, 75, 543, 18291, 473, 10659, 18, 21607, 473, 890, 18, 1611, 28, 473, 12899, 18, 26, 8204, 473, 5118, 345, 75, 543, 473, 27697, 1825, 689, 2774, 980, 473, 8043, 1736, 203, 29, 473, 1728, 473, 19720, 276, 3800, 19752, 473, 4200, 18, 2539, 21, 473, 1666, 18, 5026, 21, 473, 10659, 18, 6675, 22, 473, 328, 1434, 265, 473, 18622, 265, 2774, 980, 473, 1666, 1736, 203, 2163, 473, 4648, 473, 328, 1434, 265, 384, 2800, 3353, 345, 473, 11201, 18, 2733, 26, 473, 890, 18, 26, 6669, 473, 10659, 18, 26, 9060, 473, 328, 1434, 265, 473, 7501, 15733, 2774, 980, 286, 753, 1232, 3551, 17, 13871, 404, 425, 295, 669, 297, 473, 4711, 1736, 203, 2499, 473, 2593, 473, 609, 270, 31836, 473, 9035, 18, 7235, 27, 473, 576, 18, 20, 1105, 473, 10213, 18, 5292, 22, 473, 328, 1434, 265, 473, 18825, 425, 2440, 82, 2774, 980, 884, 69, 1244, 30678, 2362, 473, 4711, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 4691, 67, 17894, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 4691, 67, 350, 473, 13282, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 1736, 203, 21, 473, 576, 473, 404, 1736, 203, 22, 473, 890, 473, 404, 1736, 203, 23, 473, 1059, 473, 576, 1736, 203, 24, 473, 1381, 473, 890, 1736, 203, 25, 473, 1666, 473, 1381, 1736, 203, 26, 473, 2371, 473, 1725, 1736, 203, 27, 473, 1725, 473, 2468, 1736, 203, 28, 473, 2468, 473, 2468, 1736, 203, 29, 473, 1728, 473, 1728, 1736, 203, 2163, 473, 4648, 473, 1728, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 508, 1736, 203, 64, 13138, 5345, 203, 20, 473, 328, 1434, 265, 16313, 383, 83, 1736, 203, 21, 473, 5118, 345, 75, 543, 18291, 1736, 203, 22, 473, 19720, 276, 3800, 19752, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2036, 67, 710, 16, 2036, 67, 3384, 628, 1278, 67, 9724, 1625, 2036, 67, 710, 273, 1381, 578, 2036, 67, 3384, 480, 5405, 1802, 1335, 2027, 2036, 67, 710, 16, 2036, 67, 3384, 628, 1278, 67, 9724, 1625, 2036, 67, 3384, 480, 8024, 471, 2036, 67, 710, 273, 1059, 411, 2121, 67, 529, 34, 294, 1278, 67, 9724, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2036, 67, 710, 473, 2036, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 473, 1755, 1736, 203, 21, 473, 1381, 473, 10004, 1736, 203, 22, 473, 404, 473, 20614, 1736, 203, 23, 473, 1059, 473, 8024, 1736, 203, 24, 473, 2371, 473, 7721, 1736, 203, 25, 473, 576, 473, 9578, 1736, 203, 26, 473, 1725, 473, 5405, 1802, 1736, 203, 27, 473, 890, 473, 16937, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1278, 67, 9724, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2036, 67, 710, 473, 2036, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 473, 1755, 1736, 203, 21, 473, 1381, 473, 10004, 1736, 203, 22, 473, 404, 473, 20614, 1736, 203, 23, 473, 1059, 473, 8024, 1736, 203, 24, 473, 2371, 473, 7721, 1736, 203, 25, 473, 576, 473, 9578, 1736, 203, 26, 473, 1725, 473, 5405, 1802, 1736, 203, 27, 473, 890, 473, 16937, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2036, 67, 710, 473, 2036, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 20614, 1736, 203, 21, 473, 576, 473, 9578, 1736, 203, 22, 473, 890, 473, 16937, 1736, 203, 23, 473, 1059, 473, 8024, 1736, 203, 24, 473, 1381, 473, 10004, 1736, 203, 25, 473, 2371, 473, 7721, 1736, 203, 26, 473, 2468, 473, 1755, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1652, 1331, 278, 3820, 2819, 628, 5927, 67, 4350, 1041, 635, 1361, 416, 1601, 5466, 310, 7999, 1361, 416, 1601, 5466, 310, 411, 16647, 411, 2121, 67, 529, 34, 294, 5927, 67, 4350, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 5927, 67, 74, 430, 69, 67, 2425, 67, 350, 473, 5927, 67, 2425, 67, 350, 473, 1509, 473, 1361, 416, 1601, 13871, 473, 1361, 416, 1601, 13871, 1106, 473, 1361, 416, 1601, 72, 1533, 70, 2456, 473, 1361, 416, 1601, 72, 1533, 70, 2456, 1106, 473, 1361, 416, 1601, 5466, 310, 473, 1361, 416, 1601, 5466, 310, 1106, 473, 1361, 416, 1601, 3276, 310, 1106, 473, 17920, 17169, 5466, 310, 473, 17920, 17169, 5466, 310, 1106, 473, 17920, 17169, 14653, 310, 473, 17920, 17169, 14653, 310, 1106, 473, 17920, 17169, 674, 1632, 310, 473, 17920, 17169, 674, 1632, 310, 1106, 473, 17920, 17169, 3276, 310, 1106, 473, 1652, 802, 17103, 473, 1652, 802, 17103, 1106, 473, 1652, 802, 346, 2329, 285, 473, 1652, 802, 346, 2329, 285, 1106, 473, 1652, 1331, 278, 3820, 2819, 473, 1652, 1331, 278, 3820, 2819, 1106, 473, 1652, 802, 536, 2345, 7511, 557, 459, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1059, 5026, 473, 14605, 5082, 473, 18965, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 4752, 473, 11013, 72, 473, 225, 473, 12720, 473, 6437, 473, 7826, 473, 15501, 5918, 473, 4752, 473, 2212, 473, 15892, 473, 2212, 473, 21483, 473, 2212, 473, 15501, 5918, 473, 6437, 473, 16212, 473, 21483, 473, 11779, 473, 12292, 473, 2212, 473, 5590, 1736, 203, 21, 473, 576, 473, 1059, 5026, 473, 14605, 5082, 473, 13695, 17, 5908, 17, 3657, 9631, 30, 713, 30, 713, 473, 18106, 473, 11013, 72, 473, 9934, 18, 20, 473, 2212, 473, 13850, 473, 7826, 473, 15501, 5918, 473, 22431, 473, 2212, 473, 13746, 473, 2212, 473, 5178, 473, 2212, 473, 15501, 5918, 473, 17495, 473, 16212, 473, 13291, 473, 11779, 473, 22431, 473, 2212, 473, 5590, 1736, 203, 22, 473, 890, 473, 1059, 5026, 473, 14605, 5082, 473, 12461, 17, 5908, 17, 2163, 9631, 30, 713, 30, 713, 473, 17495, 473, 11013, 72, 473, 20170, 18, 20, 473, 2212, 473, 22431, 473, 7826, 473, 15501, 5918, 473, 22431, 473, 2212, 473, 13746, 473, 2212, 473, 5178, 473, 2212, 473, 15501, 5918, 473, 17495, 473, 16212, 473, 13291, 473, 11779, 473, 22431, 473, 2212, 473, 5590, 1736, 203, 23, 473, 1059, 473, 28244, 473, 23421, 7140, 473, 18965, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 16647, 473, 4797, 473, 225, 473, 12720, 473, 16647, 473, 1525, 473, 15501, 5918, 473, 16647, 473, 18404, 93, 473, 16647, 473, 328, 6968, 473, 16647, 473, 328, 6968, 473, 15501, 5918, 473, 4752, 473, 16212, 473, 16647, 473, 1645, 473, 16647, 473, 14812, 473, 5590, 1736, 203, 24, 473, 1381, 473, 28244, 473, 23421, 7140, 473, 27853, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 17495, 473, 11013, 72, 473, 225, 473, 12720, 473, 18106, 473, 7826, 473, 15501, 5918, 473, 15935, 473, 2212, 473, 9934, 473, 2212, 473, 18106, 473, 2212, 473, 15501, 5918, 473, 17495, 473, 16212, 473, 17495, 473, 11779, 473, 18106, 473, 2212, 473, 5590, 1736, 203, 25, 473, 1666, 473, 28244, 473, 23421, 7140, 473, 20869, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 17066, 473, 11013, 72, 473, 225, 473, 12720, 473, 22684, 473, 7826, 473, 15501, 5918, 473, 12292, 473, 2212, 473, 16647, 473, 328, 6968, 473, 21483, 473, 2212, 473, 15501, 5918, 473, 8063, 473, 16212, 473, 8063, 473, 11779, 473, 4752, 473, 2212, 473, 5590, 1736, 203, 26, 473, 2371, 473, 28244, 473, 23421, 7140, 473, 19451, 17, 5908, 17, 3462, 9631, 30, 713, 30, 713, 473, 22684, 473, 11013, 72, 473, 225, 473, 12720, 473, 12292, 473, 7826, 473, 15501, 5918, 473, 8063, 473, 2212, 473, 6437, 473, 2212, 473, 21483, 473, 2212, 473, 15501, 5918, 473, 14856, 473, 16212, 473, 14856, 473, 11779, 473, 4752, 473, 2212, 473, 5590, 1736, 203, 27, 473, 1725, 473, 28244, 473, 23421, 7140, 473, 13695, 17, 5908, 17, 3657, 9631, 30, 713, 30, 713, 473, 17066, 473, 11013, 72, 473, 5178, 18, 20, 473, 2212, 473, 22684, 473, 7826, 473, 15501, 5918, 473, 13850, 473, 2212, 473, 23797, 473, 328, 6968, 473, 15981, 473, 2212, 473, 15501, 5918, 473, 20170, 473, 16212, 473, 14856, 473, 11779, 473, 4752, 473, 2212, 473, 5590, 1736, 203, 28, 473, 2468, 473, 28244, 473, 23421, 7140, 473, 12461, 17, 5908, 17, 2163, 9631, 30, 713, 30, 713, 473, 14995, 473, 11013, 72, 473, 5178, 18, 20, 473, 2212, 473, 15935, 473, 7826, 473, 15501, 5918, 473, 21119, 473, 2212, 473, 19387, 473, 328, 6968, 473, 13746, 473, 2212, 473, 4843, 646, 473, 17160, 473, 16212, 473, 12292, 473, 11779, 473, 13746, 473, 2212, 473, 5590, 1736, 203, 29, 473, 1728, 473, 1666, 3461, 473, 19692, 6669, 473, 18965, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 4752, 473, 11013, 72, 473, 225, 473, 12720, 473, 8063, 473, 7826, 473, 15501, 5918, 473, 12292, 473, 2212, 473, 13191, 473, 2212, 473, 21483, 473, 2212, 473, 15501, 5918, 473, 5196, 473, 4608, 473, 16647, 473, 1645, 473, 5196, 473, 17383, 473, 21174, 831, 23034, 1736, 203, 2163, 473, 4648, 473, 1666, 3461, 473, 19692, 6669, 473, 27853, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 15892, 473, 11013, 72, 473, 225, 473, 12720, 473, 12292, 473, 7826, 473, 15501, 5918, 473, 15892, 473, 2212, 473, 15892, 473, 2212, 473, 6437, 473, 2212, 473, 15501, 5918, 473, 12292, 473, 16212, 473, 12292, 473, 11779, 473, 6437, 473, 2212, 473, 5590, 1736, 203, 2499, 473, 2593, 473, 1666, 3461, 473, 19692, 6669, 473, 20869, 17, 3103, 17, 3787, 9631, 30, 713, 30, 713, 473, 14995, 473, 11013, 72, 473, 225, 473, 12720, 473, 18106, 473, 7826, 473, 15501, 5918, 473, 9934, 473, 2212, 473, 13438, 473, 2212, 473, 18106, 473, 2212, 473, 15501, 5918, 473, 18012, 473, 16212, 473, 17495, 473, 11779, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1652, 1331, 278, 3820, 2819, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13191, 1736, 203, 21, 473, 8063, 1736, 203, 22, 473, 9934, 1736, 203, 23, 473, 6580, 1736, 203, 24, 473, 22342, 1736, 203, 25, 473, 18106, 1736, 203, 26, 473, 15981, 1736, 203, 27, 473, 14995, 1736, 203, 28, 473, 18106, 1736, 203, 29, 473, 4752, 1736, 203, 2163, 473, 15892, 1736, 203, 2499, 473, 18106, 1736, 203, 2138, 473, 4752, 1736, 203, 3437, 473, 23797, 1736, 203, 3461, 473, 5196, 1736, 203, 3600, 473, 17160, 1736, 203, 2313, 473, 12292, 1736, 203, 4033, 473, 13746, 1736, 203, 2643, 473, 14995, 1736, 203, 3657, 473, 5196, 1736, 203, 3462, 473, 18106, 1736, 203, 5340, 473, 17495, 1736, 203, 3787, 473, 17077, 1736, 203, 4366, 473, 17845, 1736, 203, 3247, 473, 4752, 1736, 203, 2947, 473, 21483, 1736, 203, 5558, 473, 18106, 1736, 203, 5324, 473, 17066, 1736, 203, 6030, 473, 6580, 1736, 203, 5540, 473, 12292, 1736, 203, 5082, 473, 15892, 1736, 203, 6938, 473, 18106, 1736, 203, 1578, 473, 13746, 1736, 203, 3707, 473, 22431, 1736, 203, 5026, 473, 18106, 1736, 203, 4763, 473, 22431, 1736, 203, 5718, 473, 17845, 1736, 203, 6418, 473, 6437, 1736, 203, 7414, 473, 5196, 1736, 203, 5520, 473, 12292, 1736, 203, 7132, 473, 17066, 1736, 203, 9803, 473, 4752, 1736, 203, 9452, 473, 22431, 1736, 203, 8942, 473, 18012, 1736, 203, 6334, 473, 12292, 1736, 203, 7950, 473, 18106, 1736, 203, 8749, 473, 17066, 1736, 203, 9462, 473, 9934, 1736, 203, 8875, 473, 21483, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3419, 67, 350, 628, 3419, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 480, 1725, 1335, 2027, 3419, 67, 350, 628, 18551, 1371, 67, 9274, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 411, 2468, 411, 2121, 67, 529, 34, 294, 3419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 473, 508, 473, 18285, 473, 6382, 67, 14240, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4834, 451, 359, 436, 6132, 473, 9626, 473, 366, 485, 31836, 473, 8063, 1736, 203, 21, 473, 576, 473, 302, 304, 5926, 387, 473, 2071, 473, 324, 546, 292, 473, 5196, 1736, 203, 22, 473, 890, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 9626, 473, 366, 485, 31836, 473, 17077, 1736, 203, 23, 473, 1059, 473, 7603, 292, 1721, 266, 473, 9626, 473, 366, 485, 31836, 473, 14856, 1736, 203, 24, 473, 1381, 473, 15272, 265, 6108, 908, 73, 473, 9626, 473, 366, 485, 31836, 473, 12292, 1736, 203, 25, 473, 1666, 473, 1675, 8082, 569, 31604, 473, 9626, 473, 366, 485, 31836, 473, 18106, 1736, 203, 26, 473, 2371, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 9626, 473, 366, 485, 31836, 473, 6580, 1736, 203, 27, 473, 1725, 473, 1658, 10370, 93, 8479, 1051, 473, 2071, 473, 10613, 4099, 473, 13191, 1736, 203, 28, 473, 2468, 473, 525, 2753, 721, 78, 345, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18012, 1736, 203, 29, 473, 1728, 473, 366, 275, 1176, 3157, 15833, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18091, 1736, 203, 2163, 473, 4648, 473, 1658, 5604, 816, 473, 9626, 473, 19720, 366, 485, 31836, 473, 6580, 1736, 203, 2499, 473, 2593, 473, 8244, 3674, 328, 2616, 275, 31317, 473, 9626, 473, 3161, 343, 7654, 473, 18106, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 67, 9274, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 3419, 67, 350, 473, 11387, 67, 20478, 473, 309, 67, 2854, 67, 957, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 2371, 473, 1725, 473, 268, 1736, 203, 22, 473, 890, 473, 1059, 473, 1666, 473, 268, 1736, 203, 23, 473, 2371, 473, 2468, 473, 576, 473, 268, 1736, 203, 24, 473, 1059, 473, 890, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 1381, 1736, 203, 23, 473, 1666, 1736, 203, 24, 473, 2468, 1736, 203, 25, 473, 1728, 1736, 203, 26, 473, 4648, 1736, 203, 27, 473, 2593, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 17326, 16, 268, 22, 18, 8792, 388, 350, 628, 3127, 28659, 970, 487, 268, 21, 1233, 618, 67, 792, 67, 8792, 28659, 970, 487, 268, 22, 603, 268, 21, 18, 15567, 422, 268, 22, 18, 15567, 1041, 635, 1758, 7999, 1758, 480, 3847, 3707, 384, 6790, 332, 384, 16, 324, 2390, 381, 479, 16, 3481, 576, 2138, 2643, 578, 3127, 388, 350, 480, 576, 578, 400, 529, 273, 24338, 402, 75, 492, 578, 13953, 1545, 890, 411, 2121, 67, 529, 34, 294, 3127, 28659, 970, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 10043, 473, 400, 529, 473, 1758, 473, 13953, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 720, 1888, 473, 3847, 3707, 384, 6790, 332, 384, 16, 324, 2390, 381, 479, 16, 3481, 576, 2138, 2643, 473, 890, 1736, 203, 21, 473, 576, 473, 24338, 402, 75, 492, 473, 3847, 2138, 384, 6790, 332, 384, 16, 324, 2390, 381, 479, 16, 3481, 576, 2138, 2643, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 618, 67, 792, 67, 8792, 28659, 970, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 10043, 473, 3127, 388, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 1736, 203, 21, 473, 576, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 13953, 473, 3127, 388, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 473, 576, 1736, 203, 21, 473, 890, 473, 404, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 5853, 350, 628, 5853, 406, 93, 1041, 635, 5853, 350, 411, 2121, 67, 529, 34, 294, 5853, 406, 93, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 5853, 350, 473, 328, 529, 473, 5299, 473, 6171, 473, 19631, 473, 7353, 473, 7725, 473, 10504, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1728, 11149, 473, 16221, 16042, 83, 473, 2267, 473, 316, 2732, 473, 312, 473, 4248, 3247, 473, 576, 3247, 473, 1073, 70, 1736, 203, 21, 473, 23543, 21, 473, 7494, 12761, 473, 312, 1354, 69, 292, 473, 9214, 403, 280, 473, 312, 473, 890, 6162, 23, 473, 576, 3657, 473, 1073, 70, 1736, 203, 22, 473, 21284, 28, 473, 8039, 265, 473, 314, 11612, 72, 473, 9214, 403, 280, 473, 312, 473, 13438, 3103, 473, 576, 3247, 70, 473, 1073, 70, 1736, 203, 23, 473, 27894, 22, 473, 1086, 355, 2556, 816, 473, 286, 517, 295, 473, 7191, 16121, 473, 312, 473, 890, 26009, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 24, 473, 27894, 27, 473, 290, 4581, 304, 473, 302, 28662, 292, 473, 9214, 403, 280, 473, 312, 473, 890, 10321, 21, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 25, 473, 404, 3657, 23, 473, 525, 5322, 473, 384, 623, 93, 473, 316, 2732, 473, 284, 473, 890, 2539, 20, 473, 576, 3247, 473, 1073, 70, 1736, 203, 26, 473, 6549, 4366, 473, 302, 842, 350, 816, 473, 22010, 765, 335, 473, 9214, 403, 280, 473, 312, 473, 13850, 5540, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 27, 473, 26599, 28, 473, 23670, 15680, 473, 341, 16607, 301, 473, 9214, 403, 280, 473, 312, 473, 4752, 9036, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 28, 473, 576, 23635, 473, 312, 402, 264, 473, 314, 264, 1060, 473, 9214, 403, 280, 473, 312, 473, 13746, 3361, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 29, 473, 576, 15561, 473, 677, 297, 543, 22921, 473, 302, 842, 350, 473, 487, 334, 16121, 473, 312, 473, 1666, 8204, 27, 473, 890, 3247, 473, 1073, 70, 1736, 203, 2163, 473, 576, 5540, 21, 473, 18551, 13685, 29650, 473, 1675, 2913, 473, 9214, 403, 280, 473, 312, 473, 22342, 6564, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 2499, 473, 10213, 2499, 473, 14705, 73, 2196, 473, 7671, 93, 473, 487, 334, 16121, 473, 312, 473, 20963, 8643, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 2138, 473, 12732, 7414, 473, 3636, 473, 525, 753, 473, 9214, 403, 280, 473, 312, 473, 1725, 3462, 29, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 3437, 473, 576, 5482, 21, 473, 20465, 4728, 473, 524, 304, 473, 9214, 403, 280, 473, 312, 473, 1725, 3707, 25, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 3461, 473, 890, 7950, 27, 473, 3029, 483, 473, 888, 352, 88, 473, 7191, 16121, 473, 312, 473, 1728, 4763, 473, 890, 2643, 473, 1073, 70, 1736, 203, 3600, 473, 1059, 29157, 473, 366, 1003, 9795, 304, 473, 525, 83, 1072, 73, 473, 316, 2732, 473, 284, 473, 2593, 4848, 473, 3847, 28, 473, 1073, 70, 1736, 203, 2313, 473, 13291, 1578, 473, 324, 295, 94, 1594, 473, 20072, 360, 77, 473, 9214, 403, 280, 473, 312, 473, 6549, 3437, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 4033, 473, 15981, 2643, 473, 3812, 2304, 473, 721, 25925, 473, 487, 334, 16121, 473, 312, 473, 404, 5877, 21, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 2643, 473, 1666, 17666, 473, 506, 497, 473, 437, 89, 291, 473, 316, 2732, 473, 312, 473, 6549, 7414, 473, 4200, 27, 473, 1073, 70, 1736, 203, 3657, 473, 1666, 28246, 473, 462, 24688, 473, 462, 24688, 473, 487, 334, 16121, 473, 312, 473, 6549, 4313, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 3462, 473, 1666, 30380, 473, 22258, 7088, 473, 279, 4149, 464, 264, 473, 9214, 403, 280, 473, 312, 473, 6549, 2947, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 5340, 473, 1666, 3707, 20, 473, 635, 86, 4644, 473, 341, 16607, 301, 473, 316, 2732, 473, 312, 473, 2872, 12416, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 3787, 473, 1666, 6564, 21, 473, 366, 304, 473, 699, 7392, 17, 1382, 473, 9214, 403, 280, 473, 312, 473, 5342, 3461, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 4366, 473, 20963, 2163, 473, 3029, 355, 773, 18465, 473, 6790, 332, 473, 9214, 403, 280, 473, 312, 473, 4200, 9060, 473, 576, 5482, 473, 417, 566, 3034, 1736, 203, 3247, 473, 20963, 2947, 473, 18158, 1040, 1795, 473, 293, 378, 383, 473, 487, 334, 16121, 473, 312, 473, 26599, 21, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 2947, 473, 2371, 25213, 473, 314, 20125, 1795, 473, 525, 22223, 473, 9214, 403, 280, 473, 312, 473, 576, 29242, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 5558, 473, 2371, 4366, 21, 473, 436, 2127, 473, 341, 330, 816, 473, 9214, 403, 280, 473, 312, 473, 576, 30380, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 5324, 473, 2371, 5324, 21, 473, 525, 3027, 79, 473, 22010, 765, 1200, 473, 9214, 403, 280, 473, 312, 473, 576, 6675, 20, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 6030, 473, 2371, 3361, 26, 473, 27697, 10115, 473, 1149, 1040, 473, 9214, 403, 280, 473, 312, 473, 12899, 1578, 473, 404, 3657, 473, 324, 485, 265, 1736, 203, 5540, 473, 28244, 2138, 473, 1690, 264, 70, 2648, 473, 4653, 2648, 473, 9214, 403, 280, 473, 312, 473, 576, 21661, 473, 576, 3462, 473, 1073, 70, 1736, 203, 5082, 473, 28244, 4366, 473, 268, 528, 80, 280, 473, 436, 5567, 1165, 473, 9214, 403, 280, 473, 312, 473, 4248, 4763, 473, 890, 4033, 473, 1073, 70, 1736, 203, 6938, 473, 2371, 7235, 22, 473, 5186, 737, 473, 225, 3036, 473, 487, 334, 16121, 473, 312, 473, 10213, 4630, 473, 890, 3247, 70, 473, 1073, 70, 1736, 203, 1578, 473, 1725, 20481, 473, 525, 753, 473, 328, 304, 2183, 352, 473, 487, 334, 16121, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 5853, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1728, 11149, 1736, 203, 21, 473, 23543, 21, 1736, 203, 22, 473, 21284, 28, 1736, 203, 23, 473, 27894, 22, 1736, 203, 24, 473, 27894, 27, 1736, 203, 25, 473, 404, 3657, 23, 1736, 203, 26, 473, 6549, 4366, 1736, 203, 27, 473, 26599, 28, 1736, 203, 28, 473, 576, 23635, 1736, 203, 29, 473, 576, 15561, 1736, 203, 2163, 473, 576, 5540, 21, 1736, 203, 2499, 473, 10213, 2499, 1736, 203, 2138, 473, 12732, 7414, 1736, 203, 3437, 473, 576, 5482, 21, 1736, 203, 3461, 473, 890, 7950, 27, 1736, 203, 3600, 473, 1059, 29157, 1736, 203, 2313, 473, 13291, 1578, 1736, 203, 4033, 473, 15981, 2643, 1736, 203, 2643, 473, 1666, 17666, 1736, 203, 3657, 473, 1666, 28246, 1736, 203, 3462, 473, 1666, 30380, 1736, 203, 5340, 473, 1666, 3707, 20, 1736, 203, 3787, 473, 1666, 6564, 21, 1736, 203, 4366, 473, 20963, 2163, 1736, 203, 3247, 473, 20963, 2947, 1736, 203, 2947, 473, 2371, 25213, 1736, 203, 5558, 473, 2371, 4366, 21, 1736, 203, 5324, 473, 2371, 5324, 21, 1736, 203, 6030, 473, 2371, 3361, 26, 1736, 203, 5540, 473, 28244, 2138, 1736, 203, 5082, 473, 28244, 4366, 1736, 203, 6938, 473, 2371, 7235, 22, 1736, 203, 1578, 473, 1725, 20481, 1736, 203, 3707, 473, 1725, 22214, 1736, 203, 5026, 473, 1725, 25652, 1736, 203, 4763, 473, 1725, 22266, 1736, 203, 5718, 473, 23421, 4366, 1736, 203, 6418, 473, 1725, 27, 5340, 1736, 203, 7414, 473, 1725, 27, 3787, 1736, 203, 5520, 473, 1725, 27, 4366, 1736, 203, 7132, 473, 1725, 5608, 21, 1736, 203, 9803, 473, 1725, 4700, 22, 1736, 203, 9452, 473, 1725, 7235, 21, 1736, 203, 8942, 473, 28308, 2643, 1736, 203, 6334, 473, 28308, 6675, 1736, 203, 7950, 473, 2468, 1611, 21, 1736, 203, 8749, 473, 2468, 28406, 1736, 203, 9462, 473, 2468, 30380, 1736, 203, 8875, 473, 2468, 19818, 1736, 203, 7616, 473, 16146, 2163, 1736, 203, 3361, 473, 2468, 6418, 29, 1736, 203, 10593, 473, 16848, 3461, 1736, 203, 9401, 473, 2468, 1105, 23, 1736, 203, 8643, 473, 24645, 2499, 1736, 203, 6564, 473, 24645, 4366, 1736, 203, 2539, 473, 24645, 3247, 1736, 203, 4313, 473, 24645, 5558, 1736, 203, 10321, 473, 14605, 3787, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 410, 3631, 268, 22, 18, 6874, 628, 6175, 487, 268, 21, 1233, 6175, 74, 7522, 487, 268, 22, 603, 268, 21, 18, 529, 273, 268, 22, 18, 529, 1625, 24271, 480, 800, 70, 578, 18578, 480, 284, 351, 5349, 1041, 635, 12797, 7999, 3286, 1648, 1728, 411, 2121, 67, 529, 34, 294, 6175, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 508, 473, 9388, 473, 12797, 473, 18578, 473, 1719, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 1812, 473, 6969, 473, 394, 677, 778, 12797, 473, 284, 351, 5349, 473, 18110, 1736, 203, 21, 473, 800, 70, 473, 13191, 473, 4286, 328, 911, 12797, 473, 312, 5349, 473, 4073, 264, 1736, 203, 22, 473, 998, 497, 473, 12292, 473, 279, 641, 267, 473, 312, 5349, 473, 741, 30206, 1736, 203, 23, 473, 302, 304, 473, 10659, 473, 462, 335, 28768, 473, 284, 351, 5349, 473, 18110, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 6175, 74, 7522, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 508, 473, 24271, 473, 3286, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 1812, 473, 800, 70, 473, 1728, 1736, 203, 21, 473, 998, 497, 473, 302, 304, 473, 2593, 1736, 203, 22, 473, 800, 70, 473, 998, 497, 473, 1381, 1736, 203, 23, 473, 998, 497, 473, 524, 1812, 473, 1666, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 410, 13, 473, 3286, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13191, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 14240, 67, 23555, 16, 268, 22, 18, 2233, 67, 350, 628, 1015, 5792, 487, 268, 21, 1233, 1707, 67, 22602, 487, 268, 22, 603, 268, 21, 18, 22602, 67, 350, 422, 268, 22, 18, 22602, 67, 350, 1041, 635, 12797, 67, 23555, 7999, 1015, 5792, 67, 529, 480, 3058, 78, 2450, 91, 287, 69, 1015, 5792, 411, 2121, 67, 529, 34, 294, 1015, 5792, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1015, 5792, 67, 350, 473, 1015, 5792, 67, 529, 473, 910, 372, 14153, 329, 67, 14240, 473, 12797, 67, 23555, 473, 12797, 67, 5036, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 622, 869, 363, 1015, 5792, 473, 622, 869, 363, 12797, 473, 2468, 8749, 3462, 18, 20, 473, 4200, 18, 20, 1736, 203, 21, 473, 576, 473, 324, 9795, 2219, 287, 27132, 297, 1015, 5792, 473, 324, 9795, 2219, 287, 27132, 297, 12797, 473, 404, 5026, 29, 5718, 18, 20, 473, 5958, 18, 20, 1736, 203, 22, 473, 890, 473, 324, 9795, 2219, 287, 12688, 1015, 5792, 473, 324, 9795, 2219, 287, 12688, 12797, 473, 15935, 3028, 7414, 18, 20, 473, 18012, 18, 20, 1736, 203, 23, 473, 1059, 473, 19822, 581, 79, 297, 1015, 5792, 473, 19822, 581, 79, 297, 12797, 473, 1725, 11180, 3672, 18, 20, 473, 4711, 18, 20, 1736, 203, 24, 473, 1381, 473, 462, 581, 91, 287, 1015, 5792, 473, 462, 581, 91, 287, 12797, 473, 404, 26612, 3247, 18, 20, 473, 1728, 18, 20, 1736, 203, 25, 473, 1666, 473, 462, 8767, 352, 1015, 5792, 473, 462, 8767, 352, 12797, 473, 576, 3657, 26261, 18, 20, 473, 2593, 18, 20, 1736, 203, 26, 473, 2371, 473, 4854, 69, 21409, 1561, 77, 417, 25842, 1015, 5792, 473, 4854, 69, 21409, 1561, 77, 417, 25842, 12797, 473, 1059, 1105, 5608, 22, 18, 20, 473, 11201, 18, 20, 1736, 203, 27, 473, 1725, 473, 11087, 291, 287, 378, 361, 1015, 5792, 473, 11087, 291, 287, 378, 361, 12797, 473, 576, 7235, 6418, 5340, 18, 20, 473, 5045, 27, 18, 20, 1736, 203, 28, 473, 2468, 473, 3058, 78, 2450, 91, 287, 69, 1015, 5792, 473, 3058, 78, 2450, 91, 287, 69, 12797, 473, 4711, 5558, 23329, 18, 20, 473, 18821, 18, 20, 1736, 203, 29, 473, 1728, 473, 3058, 78, 17048, 1015, 5792, 473, 3058, 78, 17048, 12797, 473, 3847, 7140, 2138, 18, 20, 473, 6969, 18, 20, 1736, 203, 2163, 473, 4648, 473, 366, 1727, 452, 378, 361, 1015, 5792, 473, 366, 1727, 452, 378, 361, 12797, 473, 2872, 6162, 5718, 18, 20, 473, 1728, 18, 20, 1736, 203, 2499, 473, 2593, 473, 525, 76, 539, 1015, 5792, 473, 525, 76, 539, 12797, 473, 21382, 30234, 18, 20, 473, 9131, 18, 20, 1736, 203, 2138, 473, 5958, 473, 525, 76, 292, 379, 1015, 5792, 473, 525, 76, 292, 379, 12797, 473, 8043, 3462, 9036, 18, 20, 473, 11201, 18, 20, 1736, 203, 3437, 473, 5045, 473, 417, 345, 295, 1015, 5792, 473, 417, 345, 295, 12797, 473, 890, 27879, 4033, 18, 20, 473, 6549, 18, 20, 1736, 203, 3461, 473, 4711, 473, 417, 25842, 359, 287, 1015, 5792, 473, 417, 25842, 359, 287, 12797, 473, 2872, 3361, 7414, 18, 20, 473, 8043, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 1707, 67, 22602, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1707, 67, 350, 473, 1015, 5792, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4711, 1736, 203, 21, 473, 576, 473, 4711, 1736, 203, 22, 473, 890, 473, 4648, 1736, 203, 23, 473, 1059, 473, 1059, 1736, 203, 24, 473, 1381, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 12797, 67, 23555, 473, 1707, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1725, 11180, 3672, 473, 1059, 1736, 203, 21, 473, 2872, 3361, 7414, 473, 404, 1736, 203, 22, 473, 2872, 6162, 5718, 473, 890, 1736, 203, 23, 473, 15935, 3028, 7414, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 2867, 67, 350, 13, 473, 1509, 67, 2080, 1736, 203, 64, 13138, 5345, 203, 20, 473, 890, 473, 27853, 17, 7677, 17, 3103, 17896, 30, 8643, 30, 6030, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 334, 1911, 3631, 268, 22, 18, 633, 67, 12202, 6392, 67, 25911, 628, 18110, 487, 268, 21, 1233, 331, 17128, 67, 3366, 487, 268, 22, 603, 268, 21, 18, 334, 1911, 273, 268, 22, 18, 334, 1911, 1625, 9388, 405, 11201, 578, 4001, 814, 67, 25911, 411, 13822, 20, 578, 7914, 67, 712, 480, 16314, 19, 5082, 19, 6734, 22, 471, 25526, 67, 13946, 273, 4159, 471, 4075, 6392, 67, 25911, 1648, 2130, 24, 578, 1131, 12, 27427, 345, 11278, 67, 25911, 13, 405, 1728, 4763, 471, 12797, 67, 710, 480, 3023, 471, 1056, 12, 633, 67, 12202, 6392, 67, 25911, 13, 411, 2130, 27, 411, 2121, 67, 529, 34, 294, 18110, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 328, 529, 473, 5299, 473, 9388, 473, 19631, 473, 7888, 473, 1261, 10227, 473, 12797, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 21, 473, 3029, 483, 473, 328, 728, 69, 473, 6549, 473, 284, 473, 14707, 473, 23543, 21, 473, 324, 287, 1736, 203, 21, 473, 2130, 22, 473, 417, 381, 473, 1284, 2431, 473, 5342, 473, 284, 473, 14707, 473, 28244, 2138, 473, 366, 14931, 1736, 203, 22, 473, 2130, 23, 473, 525, 5322, 473, 699, 77, 292, 69, 473, 9035, 473, 284, 473, 14707, 473, 2371, 7235, 22, 473, 1703, 1736, 203, 23, 473, 2130, 24, 473, 417, 379, 297, 473, 302, 1465, 76, 473, 4200, 473, 312, 473, 14707, 473, 23421, 4366, 473, 17198, 1736, 203, 24, 473, 2130, 25, 473, 18827, 10422, 473, 6790, 332, 473, 10659, 473, 312, 473, 14707, 473, 23543, 21, 473, 9016, 94, 1736, 203, 25, 473, 2130, 26, 473, 18551, 406, 94, 473, 471, 93, 473, 6549, 473, 312, 473, 14707, 473, 21284, 28, 473, 324, 287, 1736, 203, 26, 473, 2130, 27, 473, 513, 438, 473, 328, 291, 69, 473, 6549, 473, 284, 473, 14707, 473, 28308, 2643, 473, 293, 305, 1736, 203, 27, 473, 2130, 28, 473, 290, 292, 816, 473, 525, 464, 93, 473, 4200, 473, 284, 473, 14707, 473, 2468, 28406, 473, 324, 287, 1736, 203, 28, 473, 2130, 29, 473, 268, 10658, 473, 225, 3036, 473, 5342, 473, 312, 473, 14707, 473, 576, 15561, 473, 9016, 94, 1736, 203, 29, 473, 13822, 20, 473, 884, 73, 473, 18207, 79, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 366, 1395, 1736, 203, 2163, 473, 13822, 21, 473, 1261, 301, 87, 473, 302, 842, 350, 473, 11201, 473, 312, 473, 14707, 473, 21284, 28, 473, 1844, 80, 1736, 203, 2499, 473, 13822, 22, 473, 302, 842, 291, 473, 384, 16728, 473, 4200, 473, 312, 473, 14707, 473, 28244, 4366, 473, 293, 305, 1736, 203, 2138, 473, 13822, 24, 473, 12517, 18387, 473, 1149, 1040, 473, 6549, 473, 312, 473, 14707, 473, 1725, 5608, 21, 473, 302, 287, 1736, 203, 3437, 473, 13822, 25, 473, 884, 73, 473, 11375, 304, 473, 2872, 473, 284, 473, 14707, 473, 1725, 27, 5340, 473, 366, 14931, 1736, 203, 3461, 473, 13822, 26, 473, 18551, 91, 27202, 473, 2267, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 3023, 1736, 203, 3600, 473, 13822, 27, 473, 341, 330, 816, 473, 5186, 3965, 473, 12732, 473, 312, 473, 14707, 473, 21284, 28, 473, 4281, 1736, 203, 2313, 473, 13822, 28, 473, 884, 750, 265, 473, 312, 1354, 69, 292, 473, 4200, 473, 312, 473, 14707, 473, 23543, 21, 473, 293, 305, 1736, 203, 4033, 473, 13822, 29, 473, 293, 539, 473, 419, 451, 295, 473, 6549, 473, 312, 473, 14707, 473, 576, 15561, 473, 1703, 1736, 203, 2643, 473, 1728, 3462, 473, 286, 280, 496, 265, 473, 277, 304, 473, 11201, 473, 312, 473, 1381, 3462, 473, 2371, 5324, 21, 473, 15308, 71, 1736, 203, 3657, 473, 1728, 5340, 473, 471, 266, 1395, 473, 8244, 280, 908, 473, 5342, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3462, 473, 1728, 3787, 473, 341, 4773, 87, 473, 312, 1354, 69, 292, 473, 8043, 473, 312, 473, 1381, 7132, 473, 1725, 27, 3787, 473, 1844, 80, 1736, 203, 5340, 473, 1728, 4366, 473, 699, 1385, 744, 473, 302, 842, 350, 473, 4200, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3787, 473, 6250, 473, 846, 2045, 473, 384, 3505, 473, 6549, 473, 284, 473, 1381, 7132, 473, 2371, 5324, 21, 473, 324, 287, 1736, 203, 4366, 473, 1728, 2947, 473, 20465, 4728, 473, 2267, 473, 6549, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 293, 305, 1736, 203, 3247, 473, 1728, 5558, 473, 293, 539, 473, 225, 3036, 473, 5342, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 366, 14931, 1736, 203, 2947, 473, 1728, 5324, 473, 23670, 15680, 473, 6790, 332, 473, 6549, 473, 312, 473, 1381, 3462, 473, 1725, 27, 4366, 473, 22148, 1736, 203, 5558, 473, 1728, 6030, 473, 436, 2127, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 10213, 2499, 473, 721, 71, 1736, 203, 5324, 473, 1728, 5540, 473, 366, 304, 473, 525, 318, 473, 8043, 473, 312, 473, 2130, 473, 10213, 2499, 473, 2804, 79, 1736, 203, 6030, 473, 1728, 5082, 473, 462, 24688, 473, 328, 291, 69, 473, 9035, 473, 284, 473, 1381, 3361, 473, 10213, 2499, 473, 272, 617, 1736, 203, 5540, 473, 1728, 6938, 473, 3029, 483, 473, 272, 297, 9795, 473, 4200, 473, 284, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 1844, 80, 1736, 203, 5082, 473, 1728, 1578, 473, 324, 26253, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 622, 80, 1736, 203, 6938, 473, 1728, 3707, 473, 3142, 959, 473, 341, 16607, 301, 473, 6549, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 290, 297, 1736, 203, 1578, 473, 1728, 5026, 473, 5529, 84, 473, 225, 3036, 473, 6549, 473, 312, 473, 6437, 473, 15981, 2643, 473, 23904, 1736, 203, 3707, 473, 1728, 4763, 473, 18551, 13138, 88, 473, 272, 297, 9795, 473, 10659, 473, 284, 473, 6437, 473, 15981, 2643, 473, 1703, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 334, 1911, 13, 473, 31842, 67, 12202, 6392, 67, 25911, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 473, 2130, 27, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 23350, 71, 5015, 67, 350, 628, 23350, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 480, 1059, 1335, 2027, 23350, 71, 5015, 67, 350, 628, 23350, 655, 67, 1826, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 1545, 1381, 411, 2121, 67, 529, 34, 294, 23350, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 473, 23350, 71, 5015, 473, 2477, 473, 943, 67, 75, 3984, 67, 4865, 473, 2078, 67, 10863, 67, 5036, 473, 943, 67, 10863, 67, 15174, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 721, 4757, 816, 436, 17, 3787, 473, 9052, 12788, 13150, 335, 3838, 264, 473, 404, 16, 6418, 20, 7831, 261, 4449, 25, 417, 75, 13, 473, 1059, 10580, 11038, 131, 115, 261, 8749, 18, 22, 312, 131, 115, 13, 473, 576, 18, 26, 7831, 19, 1222, 131, 115, 261, 3461, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 21, 473, 576, 473, 324, 1165, 4200, 26, 70, 23, 525, 16354, 11455, 473, 268, 15850, 538, 3395, 1222, 12788, 13150, 335, 3838, 264, 473, 890, 16, 6976, 7831, 261, 21, 16, 7950, 21, 417, 75, 13, 473, 1725, 9060, 11038, 131, 115, 261, 11861, 18, 21, 312, 131, 115, 13, 473, 890, 18, 27, 7831, 19, 1222, 131, 115, 261, 2643, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 22, 473, 890, 473, 462, 17, 9462, 72, 462, 267, 1184, 473, 17126, 19117, 4168, 280, 13150, 335, 3838, 264, 473, 6437, 16, 3784, 7831, 261, 3787, 16, 26, 3672, 417, 75, 13, 473, 1381, 16, 26, 2539, 11038, 131, 115, 261, 25, 5558, 312, 131, 115, 13, 473, 1725, 18, 28, 7831, 19, 1222, 131, 115, 261, 8942, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 23, 473, 1059, 473, 312, 330, 12837, 17, 5558, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 17335, 16, 12483, 7831, 261, 4313, 16, 3784, 417, 75, 13, 473, 1725, 16, 7616, 25, 11038, 131, 115, 261, 27, 6675, 312, 131, 115, 13, 473, 5045, 18, 25, 7831, 19, 1222, 131, 115, 261, 11212, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 24, 473, 1381, 473, 462, 17, 8643, 73, 2240, 384, 454, 285, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 26103, 16, 12483, 7831, 261, 3707, 16, 19249, 417, 75, 13, 473, 1059, 16, 29, 713, 11038, 131, 115, 261, 24, 4848, 312, 131, 115, 13, 473, 4711, 7831, 19, 1222, 131, 115, 261, 9060, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 23350, 655, 67, 1826, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 23350, 655, 67, 350, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1666, 473, 1381, 1736, 203, 21, 473, 576, 473, 576, 473, 404, 1736, 203, 22, 473, 890, 473, 404, 473, 576, 1736, 203, 23, 473, 1059, 473, 2468, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 74, 7522, 67, 350, 13, 628, 24271, 411, 2121, 67, 529, 34, 294, 24271, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18110, 67, 350, 473, 24271, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4711, 2163, 473, 5958, 11861, 1736, 203, 21, 473, 4711, 2163, 473, 2872, 6675, 1736, 203, 22, 473, 2872, 6675, 473, 8043, 5908, 1736, 203, 23, 473, 5958, 11861, 473, 2593, 9462, 1736, 203, 24, 473, 8043, 5908, 473, 2593, 9462, 1736, 203, 25, 473, 2872, 6675, 473, 8043, 11149, 1736, 203, 26, 473, 8043, 11149, 473, 5045, 9470, 1736, 203, 27, 473, 8043, 11149, 473, 5958, 2313, 1736, 203, 28, 473, 8043, 11149, 473, 5958, 3028, 1736, 203, 29, 473, 5045, 9470, 473, 4648, 1611, 1736, 203, 2163, 473, 5045, 9470, 473, 404, 1105, 21, 1736, 203, 2499, 473, 4648, 1611, 473, 404, 1105, 21, 1736, 203, 2138, 473, 2593, 9462, 473, 5342, 2499, 1736, 203, 3437, 473, 2593, 9462, 473, 4711, 1611, 1736, 203, 3461, 473, 5342, 2499, 473, 4711, 1611, 1736, 203, 3600, 473, 4711, 1611, 473, 5342, 5026, 1736, 203, 2313, 473, 5958, 2313, 473, 5342, 5026, 1736, 203, 4033, 473, 5342, 5026, 473, 5958, 3028, 1736, 203, 2643, 473, 5958, 3028, 473, 2872, 9498, 1736, 203, 3657, 473, 2872, 9498, 473, 1728, 2947, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 74, 7522, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1728, 2947, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 529, 16, 268, 22, 18, 28204, 1371, 67, 350, 628, 3419, 487, 268, 21, 1233, 18551, 1371, 67, 9274, 487, 268, 22, 603, 268, 21, 18, 7407, 67, 350, 273, 268, 22, 18, 7407, 67, 350, 411, 2121, 67, 529, 34, 294, 3419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 473, 508, 473, 18285, 473, 6382, 67, 14240, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4834, 451, 359, 436, 6132, 473, 9626, 473, 366, 485, 31836, 473, 8063, 1736, 203, 21, 473, 576, 473, 302, 304, 5926, 387, 473, 2071, 473, 324, 546, 292, 473, 5196, 1736, 203, 22, 473, 890, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 9626, 473, 366, 485, 31836, 473, 17077, 1736, 203, 23, 473, 1059, 473, 7603, 292, 1721, 266, 473, 9626, 473, 366, 485, 31836, 473, 14856, 1736, 203, 24, 473, 1381, 473, 15272, 265, 6108, 908, 73, 473, 9626, 473, 366, 485, 31836, 473, 12292, 1736, 203, 25, 473, 1666, 473, 1675, 8082, 569, 31604, 473, 9626, 473, 366, 485, 31836, 473, 18106, 1736, 203, 26, 473, 2371, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 9626, 473, 366, 485, 31836, 473, 6580, 1736, 203, 27, 473, 1725, 473, 1658, 10370, 93, 8479, 1051, 473, 2071, 473, 10613, 4099, 473, 13191, 1736, 203, 28, 473, 2468, 473, 525, 2753, 721, 78, 345, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18012, 1736, 203, 29, 473, 1728, 473, 366, 275, 1176, 3157, 15833, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18091, 1736, 203, 2163, 473, 4648, 473, 1658, 5604, 816, 473, 9626, 473, 19720, 366, 485, 31836, 473, 6580, 1736, 203, 2499, 473, 2593, 473, 8244, 3674, 328, 2616, 275, 31317, 473, 9626, 473, 3161, 343, 7654, 473, 18106, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 67, 9274, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 3419, 67, 350, 473, 11387, 67, 20478, 473, 309, 67, 2854, 67, 957, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 2371, 473, 1725, 473, 268, 1736, 203, 22, 473, 890, 473, 1059, 473, 1666, 473, 268, 1736, 203, 23, 473, 2371, 473, 2468, 473, 576, 473, 268, 1736, 203, 24, 473, 1059, 473, 890, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 508, 473, 18551, 1371, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 366, 275, 1176, 3157, 15833, 473, 404, 1736, 203, 21, 473, 7603, 292, 1721, 266, 473, 890, 1736, 203, 22, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 1059, 1736, 203, 23, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 1381, 1736, 203, 24, 473, 525, 2753, 721, 78, 345, 473, 2371, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3419, 67, 350, 628, 3419, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 1648, 1728, 7812, 2027, 3419, 67, 350, 628, 18551, 1371, 67, 9274, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 480, 2468, 411, 2121, 67, 529, 34, 294, 3419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 473, 508, 473, 18285, 473, 6382, 67, 14240, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4834, 451, 359, 436, 6132, 473, 9626, 473, 366, 485, 31836, 473, 8063, 1736, 203, 21, 473, 576, 473, 302, 304, 5926, 387, 473, 2071, 473, 324, 546, 292, 473, 5196, 1736, 203, 22, 473, 890, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 9626, 473, 366, 485, 31836, 473, 17077, 1736, 203, 23, 473, 1059, 473, 7603, 292, 1721, 266, 473, 9626, 473, 366, 485, 31836, 473, 14856, 1736, 203, 24, 473, 1381, 473, 15272, 265, 6108, 908, 73, 473, 9626, 473, 366, 485, 31836, 473, 12292, 1736, 203, 25, 473, 1666, 473, 1675, 8082, 569, 31604, 473, 9626, 473, 366, 485, 31836, 473, 18106, 1736, 203, 26, 473, 2371, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 9626, 473, 366, 485, 31836, 473, 6580, 1736, 203, 27, 473, 1725, 473, 1658, 10370, 93, 8479, 1051, 473, 2071, 473, 10613, 4099, 473, 13191, 1736, 203, 28, 473, 2468, 473, 525, 2753, 721, 78, 345, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18012, 1736, 203, 29, 473, 1728, 473, 366, 275, 1176, 3157, 15833, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18091, 1736, 203, 2163, 473, 4648, 473, 1658, 5604, 816, 473, 9626, 473, 19720, 366, 485, 31836, 473, 6580, 1736, 203, 2499, 473, 2593, 473, 8244, 3674, 328, 2616, 275, 31317, 473, 9626, 473, 3161, 343, 7654, 473, 18106, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 67, 9274, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 3419, 67, 350, 473, 11387, 67, 20478, 473, 309, 67, 2854, 67, 957, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 2371, 473, 1725, 473, 268, 1736, 203, 22, 473, 890, 473, 1059, 473, 1666, 473, 268, 1736, 203, 23, 473, 2371, 473, 2468, 473, 576, 473, 268, 1736, 203, 24, 473, 1059, 473, 890, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 23, 473, 1059, 1736, 203, 24, 473, 1381, 1736, 203, 25, 473, 1666, 1736, 203, 26, 473, 2371, 1736, 203, 27, 473, 1725, 1736, 203, 28, 473, 2468, 1736, 203, 29, 473, 1728, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 884, 20910, 67, 350, 628, 14486, 310, 67, 2767, 30321, 1625, 5893, 480, 374, 578, 25120, 273, 576, 18, 11861, 578, 13828, 273, 404, 578, 7129, 411, 404, 578, 3286, 405, 12461, 7812, 2027, 884, 20910, 67, 350, 628, 9788, 6872, 1625, 314, 67, 23, 70, 1545, 374, 471, 314, 67, 5809, 480, 4752, 578, 314, 67, 536, 3558, 1545, 890, 471, 884, 20910, 67, 350, 480, 524, 471, 314, 67, 22, 70, 1648, 374, 578, 314, 67, 1049, 1545, 374, 411, 2121, 67, 529, 34, 294, 14486, 310, 67, 2767, 30321, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 3643, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 341, 473, 328, 473, 314, 473, 10763, 473, 14947, 473, 699, 83, 473, 5893, 473, 2359, 20125, 473, 366, 473, 6445, 473, 15407, 473, 7129, 473, 1427, 473, 9846, 556, 84, 473, 25120, 473, 9834, 70, 473, 6357, 473, 366, 17152, 473, 22723, 473, 324, 7944, 473, 13828, 473, 436, 473, 699, 473, 9033, 473, 314, 67, 350, 84, 1736, 203, 64, 13138, 5345, 203, 20, 473, 506, 4169, 70, 89, 1611, 473, 6549, 5193, 473, 4945, 473, 15308, 24, 473, 12391, 473, 374, 473, 404, 473, 404, 473, 404, 473, 404, 473, 374, 473, 374, 473, 6549, 473, 2468, 473, 2371, 473, 374, 473, 576, 473, 404, 473, 225, 473, 1728, 18, 25, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 2593, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 417, 1340, 74, 278, 77, 1611, 473, 6549, 5193, 473, 4945, 473, 15308, 24, 473, 12391, 473, 374, 473, 576, 473, 576, 473, 576, 473, 576, 473, 374, 473, 374, 473, 12292, 473, 1728, 473, 1666, 473, 404, 473, 890, 473, 2593, 473, 225, 473, 890, 18, 26, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 2468, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 6719, 1075, 343, 1611, 473, 6549, 5193, 473, 4945, 473, 450, 473, 7741, 473, 890, 473, 374, 473, 890, 473, 890, 473, 890, 473, 404, 473, 374, 473, 22342, 473, 4648, 473, 374, 473, 374, 473, 374, 473, 8043, 473, 225, 473, 374, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 890, 473, 225, 473, 225, 473, 225, 1736, 203, 23, 473, 927, 1313, 30952, 1611, 473, 404, 5482, 25, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 404, 473, 576, 473, 576, 473, 576, 473, 374, 473, 374, 473, 9934, 473, 4711, 473, 576, 473, 374, 473, 404, 473, 4711, 473, 225, 473, 404, 18, 3437, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 5045, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 312, 952, 280, 21102, 1611, 473, 404, 5482, 25, 473, 4945, 473, 462, 82, 473, 7741, 473, 890, 473, 576, 473, 1381, 473, 1381, 473, 1381, 473, 374, 473, 374, 473, 23515, 473, 12732, 473, 1725, 473, 374, 473, 1666, 473, 5342, 473, 225, 473, 576, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 11201, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 5926, 322, 1075, 1611, 473, 404, 5482, 25, 473, 4945, 473, 2020, 24, 473, 12391, 473, 404, 473, 404, 473, 890, 473, 890, 473, 890, 473, 374, 473, 374, 473, 22860, 473, 6969, 473, 2371, 473, 404, 473, 1059, 473, 2872, 473, 225, 473, 576, 18, 9452, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 6549, 473, 225, 473, 225, 473, 225, 1736, 203, 26, 473, 17382, 94, 2414, 1611, 473, 404, 5482, 25, 473, 4945, 473, 2020, 24, 473, 12391, 473, 576, 473, 576, 473, 1059, 473, 1059, 473, 1059, 473, 374, 473, 374, 473, 1725, 27, 473, 5196, 473, 576, 473, 404, 473, 2468, 473, 5045, 473, 225, 473, 374, 18, 8898, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 4200, 473, 225, 473, 225, 473, 225, 1736, 203, 27, 473, 927, 1313, 30952, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 576, 473, 576, 473, 1059, 473, 1059, 473, 890, 473, 404, 473, 374, 473, 31007, 473, 6969, 473, 2371, 473, 374, 473, 2593, 473, 9131, 473, 225, 473, 576, 18, 4630, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 4711, 473, 225, 473, 225, 473, 225, 1736, 203, 28, 473, 312, 952, 280, 21102, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 404, 473, 404, 473, 404, 473, 404, 473, 374, 473, 374, 473, 4248, 473, 5958, 473, 1666, 473, 404, 473, 576, 473, 1059, 473, 225, 473, 1666, 18, 5877, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 374, 473, 2593, 473, 225, 473, 225, 473, 225, 1736, 203, 29, 473, 16826, 304, 21102, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 374, 473, 404, 473, 404, 473, 374, 473, 374, 473, 374, 473, 4711, 473, 1725, 473, 1381, 473, 374, 473, 1059, 473, 1059, 473, 225, 473, 2468, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 404, 473, 1725, 473, 225, 473, 225, 473, 225, 1736, 203, 2163, 473, 903, 558, 1611, 473, 6549, 5292, 473, 4945, 473, 462, 82, 473, 7741, 473, 374, 473, 404, 473, 576, 473, 374, 473, 374, 473, 374, 473, 374, 473, 1666, 473, 1059, 473, 404, 473, 374, 473, 404, 473, 576, 473, 225, 473, 1059, 18, 25, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 404, 473, 890, 473, 225, 473, 225, 473, 225, 1736, 203, 2499, 473, 5926, 322, 1075, 1611, 473, 6549, 5292, 473, 4945, 473, 2020, 24, 473, 12391, 473, 576, 473, 404, 473, 890, 473, 890, 473, 890, 473, 404, 473, 374, 473, 22860, 473, 6549, 473, 2371, 473, 890, 473, 1666, 473, 2593, 473, 225, 473, 576, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 225, 1736, 203, 21, 473, 12391, 1736, 203, 22, 473, 524, 1736, 203, 23, 473, 1183, 1736, 203, 24, 473, 7741, 1736, 203, 25, 473, 886, 1736, 203, 26, 473, 10165, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 10061, 67, 2575, 67, 350, 13, 473, 400, 6392, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 890, 4763, 18, 25, 473, 17066, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 9388, 628, 18110, 1625, 5299, 273, 328, 728, 69, 471, 328, 529, 273, 3029, 483, 31, 411, 2121, 67, 529, 34, 294, 18110, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 328, 529, 473, 5299, 473, 9388, 473, 19631, 473, 7888, 473, 1261, 10227, 473, 12797, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 21, 473, 3029, 483, 473, 328, 728, 69, 473, 6549, 473, 284, 473, 14707, 473, 23543, 21, 473, 324, 287, 1736, 203, 21, 473, 2130, 22, 473, 417, 381, 473, 1284, 2431, 473, 5342, 473, 284, 473, 14707, 473, 28244, 2138, 473, 366, 14931, 1736, 203, 22, 473, 2130, 23, 473, 525, 5322, 473, 699, 77, 292, 69, 473, 9035, 473, 284, 473, 14707, 473, 2371, 7235, 22, 473, 1703, 1736, 203, 23, 473, 2130, 24, 473, 417, 379, 297, 473, 302, 1465, 76, 473, 4200, 473, 312, 473, 14707, 473, 23421, 4366, 473, 17198, 1736, 203, 24, 473, 2130, 25, 473, 18827, 10422, 473, 6790, 332, 473, 10659, 473, 312, 473, 14707, 473, 23543, 21, 473, 9016, 94, 1736, 203, 25, 473, 2130, 26, 473, 18551, 406, 94, 473, 471, 93, 473, 6549, 473, 312, 473, 14707, 473, 21284, 28, 473, 324, 287, 1736, 203, 26, 473, 2130, 27, 473, 513, 438, 473, 328, 291, 69, 473, 6549, 473, 284, 473, 14707, 473, 28308, 2643, 473, 293, 305, 1736, 203, 27, 473, 2130, 28, 473, 290, 292, 816, 473, 525, 464, 93, 473, 4200, 473, 284, 473, 14707, 473, 2468, 28406, 473, 324, 287, 1736, 203, 28, 473, 2130, 29, 473, 268, 10658, 473, 225, 3036, 473, 5342, 473, 312, 473, 14707, 473, 576, 15561, 473, 9016, 94, 1736, 203, 29, 473, 13822, 20, 473, 884, 73, 473, 18207, 79, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 366, 1395, 1736, 203, 2163, 473, 13822, 21, 473, 1261, 301, 87, 473, 302, 842, 350, 473, 11201, 473, 312, 473, 14707, 473, 21284, 28, 473, 1844, 80, 1736, 203, 2499, 473, 13822, 22, 473, 302, 842, 291, 473, 384, 16728, 473, 4200, 473, 312, 473, 14707, 473, 28244, 4366, 473, 293, 305, 1736, 203, 2138, 473, 13822, 24, 473, 12517, 18387, 473, 1149, 1040, 473, 6549, 473, 312, 473, 14707, 473, 1725, 5608, 21, 473, 302, 287, 1736, 203, 3437, 473, 13822, 25, 473, 884, 73, 473, 11375, 304, 473, 2872, 473, 284, 473, 14707, 473, 1725, 27, 5340, 473, 366, 14931, 1736, 203, 3461, 473, 13822, 26, 473, 18551, 91, 27202, 473, 2267, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 3023, 1736, 203, 3600, 473, 13822, 27, 473, 341, 330, 816, 473, 5186, 3965, 473, 12732, 473, 312, 473, 14707, 473, 21284, 28, 473, 4281, 1736, 203, 2313, 473, 13822, 28, 473, 884, 750, 265, 473, 312, 1354, 69, 292, 473, 4200, 473, 312, 473, 14707, 473, 23543, 21, 473, 293, 305, 1736, 203, 4033, 473, 13822, 29, 473, 293, 539, 473, 419, 451, 295, 473, 6549, 473, 312, 473, 14707, 473, 576, 15561, 473, 1703, 1736, 203, 2643, 473, 1728, 3462, 473, 286, 280, 496, 265, 473, 277, 304, 473, 11201, 473, 312, 473, 1381, 3462, 473, 2371, 5324, 21, 473, 15308, 71, 1736, 203, 3657, 473, 1728, 5340, 473, 471, 266, 1395, 473, 8244, 280, 908, 473, 5342, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3462, 473, 1728, 3787, 473, 341, 4773, 87, 473, 312, 1354, 69, 292, 473, 8043, 473, 312, 473, 1381, 7132, 473, 1725, 27, 3787, 473, 1844, 80, 1736, 203, 5340, 473, 1728, 4366, 473, 699, 1385, 744, 473, 302, 842, 350, 473, 4200, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3787, 473, 6250, 473, 846, 2045, 473, 384, 3505, 473, 6549, 473, 284, 473, 1381, 7132, 473, 2371, 5324, 21, 473, 324, 287, 1736, 203, 4366, 473, 1728, 2947, 473, 20465, 4728, 473, 2267, 473, 6549, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 293, 305, 1736, 203, 3247, 473, 1728, 5558, 473, 293, 539, 473, 225, 3036, 473, 5342, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 366, 14931, 1736, 203, 2947, 473, 1728, 5324, 473, 23670, 15680, 473, 6790, 332, 473, 6549, 473, 312, 473, 1381, 3462, 473, 1725, 27, 4366, 473, 22148, 1736, 203, 5558, 473, 1728, 6030, 473, 436, 2127, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 10213, 2499, 473, 721, 71, 1736, 203, 5324, 473, 1728, 5540, 473, 366, 304, 473, 525, 318, 473, 8043, 473, 312, 473, 2130, 473, 10213, 2499, 473, 2804, 79, 1736, 203, 6030, 473, 1728, 5082, 473, 462, 24688, 473, 328, 291, 69, 473, 9035, 473, 284, 473, 1381, 3361, 473, 10213, 2499, 473, 272, 617, 1736, 203, 5540, 473, 1728, 6938, 473, 3029, 483, 473, 272, 297, 9795, 473, 4200, 473, 284, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 1844, 80, 1736, 203, 5082, 473, 1728, 1578, 473, 324, 26253, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 622, 80, 1736, 203, 6938, 473, 1728, 3707, 473, 3142, 959, 473, 341, 16607, 301, 473, 6549, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 290, 297, 1736, 203, 1578, 473, 1728, 5026, 473, 5529, 84, 473, 225, 3036, 473, 6549, 473, 312, 473, 6437, 473, 15981, 2643, 473, 23904, 1736, 203, 3707, 473, 1728, 4763, 473, 18551, 13138, 88, 473, 272, 297, 9795, 473, 10659, 473, 284, 473, 6437, 473, 15981, 2643, 473, 1703, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 266, 3850, 785, 67, 1637, 67, 31096, 67, 350, 13, 628, 12530, 67, 1330, 1625, 12530, 67, 1330, 67, 4099, 67, 350, 1648, 576, 411, 2121, 67, 529, 34, 294, 12530, 67, 1330, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 12530, 67, 1330, 67, 4099, 67, 350, 473, 3310, 67, 350, 473, 16421, 67, 1637, 67, 31096, 67, 350, 473, 12530, 67, 1330, 67, 4099, 67, 6585, 473, 12530, 67, 3384, 473, 1308, 67, 643, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 890, 473, 5045, 473, 14863, 17, 4630, 17, 5340, 16486, 30, 2947, 30, 713, 473, 2619, 555, 473, 225, 1736, 203, 21, 473, 576, 473, 2371, 473, 1059, 473, 14863, 17, 4630, 17, 3437, 21058, 30, 8942, 30, 6260, 473, 2619, 555, 473, 225, 1736, 203, 22, 473, 890, 473, 1666, 473, 2468, 473, 14863, 17, 3103, 17, 3247, 21058, 30, 6030, 30, 3462, 473, 2619, 555, 473, 225, 1736, 203, 23, 473, 1059, 473, 1381, 473, 5958, 473, 14863, 17, 3103, 17, 6030, 17896, 30, 8642, 30, 5718, 473, 2535, 2140, 473, 225, 1736, 203, 24, 473, 1381, 473, 2468, 473, 4648, 473, 14863, 17, 4630, 17, 3103, 17107, 30, 3461, 30, 8749, 473, 2619, 555, 473, 225, 1736, 203, 25, 473, 1666, 473, 1725, 473, 1725, 473, 14863, 17, 3103, 17, 6030, 4200, 30, 3600, 30, 2947, 473, 2535, 2140, 473, 225, 1736, 203, 26, 473, 2371, 473, 1381, 473, 5045, 473, 14863, 17, 4630, 17, 6260, 21058, 30, 6334, 30, 6840, 473, 2619, 555, 473, 225, 1736, 203, 27, 473, 1725, 473, 2593, 473, 1728, 473, 14863, 17, 4630, 17, 3657, 16486, 30, 3247, 30, 2643, 473, 2535, 2140, 473, 225, 1736, 203, 28, 473, 2468, 473, 890, 473, 1381, 473, 14863, 17, 4630, 17, 7677, 4711, 30, 9401, 30, 6564, 473, 2619, 555, 473, 225, 1736, 203, 29, 473, 1728, 473, 576, 473, 2468, 473, 14863, 17, 4630, 17, 4630, 1728, 30, 9803, 30, 9401, 473, 2535, 2140, 473, 225, 1736, 203, 2163, 473, 4648, 473, 4711, 473, 2593, 473, 14863, 17, 4630, 17, 5340, 4711, 30, 3103, 30, 4033, 473, 2535, 2140, 473, 225, 1736, 203, 2499, 473, 2593, 473, 1725, 473, 1725, 473, 14863, 17, 4630, 17, 2163, 10934, 30, 6840, 30, 5026, 473, 2619, 555, 473, 225, 1736, 203, 2138, 473, 5958, 473, 890, 473, 5958, 473, 14863, 17, 4630, 17, 2499, 5045, 30, 713, 30, 5520, 473, 2619, 555, 473, 225, 1736, 203, 3437, 473, 5045, 473, 890, 473, 4648, 473, 14863, 17, 3103, 17, 5324, 4648, 30, 5026, 30, 3462, 473, 2535, 2140, 473, 225, 1736, 203, 3461, 473, 4711, 473, 2593, 473, 5958, 473, 14863, 17, 4630, 17, 1611, 16314, 30, 9401, 30, 8204, 473, 2619, 555, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 266, 3850, 785, 67, 1637, 67, 31096, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 11515, 67, 7958, 67, 350, 13, 628, 574, 19292, 649, 67, 20376, 1625, 2416, 67, 7958, 67, 350, 405, 576, 10525, 411, 2121, 67, 529, 34, 294, 574, 19292, 649, 67, 20376, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2492, 67, 350, 473, 2416, 67, 7958, 67, 350, 473, 2236, 67, 350, 473, 5270, 67, 350, 473, 2492, 67, 723, 473, 2492, 67, 712, 473, 2492, 67, 8949, 473, 2492, 67, 3469, 473, 1308, 67, 7958, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 2468, 2947, 473, 4711, 473, 404, 473, 5184, 473, 14863, 17, 4630, 17, 3247, 13026, 30, 9803, 30, 9803, 473, 8043, 1611, 18, 4366, 473, 225, 473, 225, 1736, 203, 21, 473, 576, 473, 1059, 11290, 473, 890, 473, 576, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 2593, 30, 6840, 30, 2539, 473, 5342, 6938, 18, 6669, 473, 225, 473, 225, 1736, 203, 22, 473, 890, 473, 5178, 22, 473, 1059, 473, 890, 473, 5184, 473, 14863, 17, 4630, 17, 3247, 21058, 30, 6840, 30, 5324, 473, 1059, 5292, 18, 4313, 473, 225, 473, 225, 1736, 203, 23, 473, 1059, 473, 1059, 10321, 473, 4711, 473, 1059, 473, 16255, 473, 14863, 17, 4630, 17, 4366, 9035, 30, 6162, 30, 6030, 473, 30537, 26, 18, 5340, 473, 225, 473, 225, 1736, 203, 24, 473, 1381, 473, 2468, 9462, 473, 5958, 473, 1381, 473, 16255, 473, 14863, 17, 4630, 17, 4366, 9035, 30, 8942, 30, 1578, 473, 890, 10321, 18, 7677, 473, 225, 473, 225, 1736, 203, 25, 473, 1666, 473, 2468, 8204, 473, 2593, 473, 1666, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 4648, 30, 8875, 30, 6030, 473, 5342, 9599, 18, 5877, 473, 225, 473, 225, 1736, 203, 26, 473, 2371, 473, 6580, 28, 473, 404, 473, 1666, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 15331, 30, 3437, 30, 9452, 473, 5045, 10261, 18, 6260, 473, 225, 473, 225, 1736, 203, 27, 473, 1725, 473, 2468, 3247, 473, 1666, 473, 2371, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 5045, 30, 9462, 30, 6260, 473, 404, 15613, 18, 8875, 473, 225, 473, 225, 1736, 203, 28, 473, 2468, 473, 576, 10525, 473, 2468, 473, 1666, 473, 5184, 473, 14863, 17, 4630, 17, 3247, 15331, 30, 6938, 30, 8942, 473, 5045, 5877, 18, 4313, 473, 225, 473, 225, 1736, 203, 29, 473, 1728, 473, 1059, 8778, 473, 1381, 473, 2371, 473, 5184, 473, 14863, 17, 4630, 17, 3247, 15331, 30, 7950, 30, 10321, 473, 404, 7235, 25, 18, 6028, 473, 225, 473, 225, 1736, 203, 2163, 473, 4648, 473, 890, 3707, 473, 4648, 473, 2371, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 1728, 30, 5520, 30, 5908, 473, 1059, 8898, 18, 4449, 473, 225, 473, 225, 1736, 203, 2499, 473, 2593, 473, 2468, 5292, 473, 1728, 473, 2468, 473, 5184, 473, 14863, 17, 4630, 17, 3247, 4711, 30, 4033, 30, 7616, 473, 2872, 8204, 18, 1578, 473, 225, 473, 225, 1736, 203, 2138, 473, 5958, 473, 1725, 7140, 473, 5045, 473, 4648, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 8043, 30, 713, 30, 9803, 473, 2593, 10689, 18, 9036, 473, 225, 473, 225, 1736, 203, 3437, 473, 5045, 473, 2468, 9222, 473, 1728, 473, 2593, 473, 16255, 473, 14863, 17, 4630, 17, 3247, 2872, 30, 6938, 30, 5026, 473, 2468, 7950, 18, 8942, 473, 225, 473, 225, 1736, 203, 3461, 473, 4711, 473, 4200, 23, 473, 1725, 473, 2593, 473, 5184, 473, 14863, 17, 4630, 17, 3247, 1728, 30, 8875, 30, 5026, 473, 4711, 5540, 18, 10580, 473, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 11515, 67, 7958, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 5292, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 13957, 67, 2107, 3631, 268, 22, 18, 27594, 67, 8082, 628, 777, 67, 10983, 487, 268, 21, 1233, 5927, 487, 268, 22, 603, 268, 21, 18, 6874, 273, 268, 22, 18, 6874, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 13957, 67, 2107, 13, 473, 14310, 67, 8082, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 225, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 14019, 3631, 268, 22, 18, 1106, 67, 12202, 6392, 67, 25911, 628, 18110, 487, 268, 21, 1233, 331, 17128, 67, 3366, 487, 268, 22, 603, 268, 21, 18, 334, 1911, 273, 268, 22, 18, 334, 1911, 1625, 19631, 273, 284, 578, 9787, 345, 11278, 67, 25911, 405, 1728, 4763, 1041, 635, 328, 529, 7999, 1056, 12, 80, 529, 13, 1648, 8043, 411, 2121, 67, 529, 34, 294, 18110, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 328, 529, 473, 5299, 473, 9388, 473, 19631, 473, 7888, 473, 1261, 10227, 473, 12797, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 21, 473, 3029, 483, 473, 328, 728, 69, 473, 6549, 473, 284, 473, 14707, 473, 23543, 21, 473, 324, 287, 1736, 203, 21, 473, 2130, 22, 473, 417, 381, 473, 1284, 2431, 473, 5342, 473, 284, 473, 14707, 473, 28244, 2138, 473, 366, 14931, 1736, 203, 22, 473, 2130, 23, 473, 525, 5322, 473, 699, 77, 292, 69, 473, 9035, 473, 284, 473, 14707, 473, 2371, 7235, 22, 473, 1703, 1736, 203, 23, 473, 2130, 24, 473, 417, 379, 297, 473, 302, 1465, 76, 473, 4200, 473, 312, 473, 14707, 473, 23421, 4366, 473, 17198, 1736, 203, 24, 473, 2130, 25, 473, 18827, 10422, 473, 6790, 332, 473, 10659, 473, 312, 473, 14707, 473, 23543, 21, 473, 9016, 94, 1736, 203, 25, 473, 2130, 26, 473, 18551, 406, 94, 473, 471, 93, 473, 6549, 473, 312, 473, 14707, 473, 21284, 28, 473, 324, 287, 1736, 203, 26, 473, 2130, 27, 473, 513, 438, 473, 328, 291, 69, 473, 6549, 473, 284, 473, 14707, 473, 28308, 2643, 473, 293, 305, 1736, 203, 27, 473, 2130, 28, 473, 290, 292, 816, 473, 525, 464, 93, 473, 4200, 473, 284, 473, 14707, 473, 2468, 28406, 473, 324, 287, 1736, 203, 28, 473, 2130, 29, 473, 268, 10658, 473, 225, 3036, 473, 5342, 473, 312, 473, 14707, 473, 576, 15561, 473, 9016, 94, 1736, 203, 29, 473, 13822, 20, 473, 884, 73, 473, 18207, 79, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 366, 1395, 1736, 203, 2163, 473, 13822, 21, 473, 1261, 301, 87, 473, 302, 842, 350, 473, 11201, 473, 312, 473, 14707, 473, 21284, 28, 473, 1844, 80, 1736, 203, 2499, 473, 13822, 22, 473, 302, 842, 291, 473, 384, 16728, 473, 4200, 473, 312, 473, 14707, 473, 28244, 4366, 473, 293, 305, 1736, 203, 2138, 473, 13822, 24, 473, 12517, 18387, 473, 1149, 1040, 473, 6549, 473, 312, 473, 14707, 473, 1725, 5608, 21, 473, 302, 287, 1736, 203, 3437, 473, 13822, 25, 473, 884, 73, 473, 11375, 304, 473, 2872, 473, 284, 473, 14707, 473, 1725, 27, 5340, 473, 366, 14931, 1736, 203, 3461, 473, 13822, 26, 473, 18551, 91, 27202, 473, 2267, 473, 8043, 473, 312, 473, 14707, 473, 576, 15561, 473, 3023, 1736, 203, 3600, 473, 13822, 27, 473, 341, 330, 816, 473, 5186, 3965, 473, 12732, 473, 312, 473, 14707, 473, 21284, 28, 473, 4281, 1736, 203, 2313, 473, 13822, 28, 473, 884, 750, 265, 473, 312, 1354, 69, 292, 473, 4200, 473, 312, 473, 14707, 473, 23543, 21, 473, 293, 305, 1736, 203, 4033, 473, 13822, 29, 473, 293, 539, 473, 419, 451, 295, 473, 6549, 473, 312, 473, 14707, 473, 576, 15561, 473, 1703, 1736, 203, 2643, 473, 1728, 3462, 473, 286, 280, 496, 265, 473, 277, 304, 473, 11201, 473, 312, 473, 1381, 3462, 473, 2371, 5324, 21, 473, 15308, 71, 1736, 203, 3657, 473, 1728, 5340, 473, 471, 266, 1395, 473, 8244, 280, 908, 473, 5342, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3462, 473, 1728, 3787, 473, 341, 4773, 87, 473, 312, 1354, 69, 292, 473, 8043, 473, 312, 473, 1381, 7132, 473, 1725, 27, 3787, 473, 1844, 80, 1736, 203, 5340, 473, 1728, 4366, 473, 699, 1385, 744, 473, 302, 842, 350, 473, 4200, 473, 312, 473, 1381, 3462, 473, 1725, 27, 3787, 473, 15308, 71, 1736, 203, 3787, 473, 6250, 473, 846, 2045, 473, 384, 3505, 473, 6549, 473, 284, 473, 1381, 7132, 473, 2371, 5324, 21, 473, 324, 287, 1736, 203, 4366, 473, 1728, 2947, 473, 20465, 4728, 473, 2267, 473, 6549, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 293, 305, 1736, 203, 3247, 473, 1728, 5558, 473, 293, 539, 473, 225, 3036, 473, 5342, 473, 312, 473, 1381, 3462, 473, 2371, 25213, 473, 366, 14931, 1736, 203, 2947, 473, 1728, 5324, 473, 23670, 15680, 473, 6790, 332, 473, 6549, 473, 312, 473, 1381, 3462, 473, 1725, 27, 4366, 473, 22148, 1736, 203, 5558, 473, 1728, 6030, 473, 436, 2127, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 10213, 2499, 473, 721, 71, 1736, 203, 5324, 473, 1728, 5540, 473, 366, 304, 473, 525, 318, 473, 8043, 473, 312, 473, 2130, 473, 10213, 2499, 473, 2804, 79, 1736, 203, 6030, 473, 1728, 5082, 473, 462, 24688, 473, 328, 291, 69, 473, 9035, 473, 284, 473, 1381, 3361, 473, 10213, 2499, 473, 272, 617, 1736, 203, 5540, 473, 1728, 6938, 473, 3029, 483, 473, 272, 297, 9795, 473, 4200, 473, 284, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 1844, 80, 1736, 203, 5082, 473, 1728, 1578, 473, 324, 26253, 473, 225, 3036, 473, 4200, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 622, 80, 1736, 203, 6938, 473, 1728, 3707, 473, 3142, 959, 473, 341, 16607, 301, 473, 6549, 473, 312, 473, 1381, 3361, 473, 1725, 4700, 22, 473, 290, 297, 1736, 203, 1578, 473, 1728, 5026, 473, 5529, 84, 473, 225, 3036, 473, 6549, 473, 312, 473, 6437, 473, 15981, 2643, 473, 23904, 1736, 203, 3707, 473, 1728, 4763, 473, 18551, 13138, 88, 473, 272, 297, 9795, 473, 10659, 473, 284, 473, 6437, 473, 15981, 2643, 473, 1703, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 331, 17128, 67, 3366, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 384, 1911, 473, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 14019, 13, 473, 667, 67, 12202, 6392, 67, 25911, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 1728, 6938, 1736, 203, 21, 473, 576, 473, 1728, 5340, 1736, 203, 22, 473, 576, 473, 2130, 21, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 323, 15750, 350, 13, 628, 443, 15750, 411, 2121, 67, 529, 34, 294, 443, 15750, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 443, 15750, 350, 473, 508, 473, 910, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 7470, 6735, 335, 558, 473, 1059, 1736, 203, 21, 473, 576, 473, 5056, 75, 627, 473, 2371, 1736, 203, 22, 473, 890, 473, 4250, 93, 24010, 270, 1176, 473, 2468, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 323, 15750, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 10061, 67, 10540, 16, 268, 22, 18, 10061, 67, 350, 628, 2319, 67, 17407, 487, 268, 21, 1233, 29380, 67, 17407, 487, 268, 22, 603, 268, 21, 18, 5086, 67, 350, 273, 268, 22, 18, 5086, 67, 350, 411, 2121, 67, 529, 34, 294, 2319, 67, 17407, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3329, 67, 350, 473, 3329, 67, 723, 67, 710, 473, 6666, 67, 10540, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4248, 26, 473, 17140, 2763, 295, 1359, 473, 397, 2313, 12, 22, 13, 8204, 7414, 11984, 28855, 1736, 203, 21, 473, 6969, 27, 473, 1272, 2763, 295, 1359, 473, 4248, 22, 18, 27, 4449, 18, 9975, 3461, 1736, 203, 22, 473, 11631, 473, 1272, 2763, 295, 1359, 473, 404, 17, 24, 2313, 17, 3361, 23, 17, 4700, 4763, 92, 29, 9452, 3028, 1736, 203, 23, 473, 26403, 473, 1272, 2763, 295, 1359, 473, 261, 14509, 13, 25, 6418, 17, 4700, 9975, 1736, 203, 24, 473, 890, 8749, 473, 312, 499, 75, 410, 2763, 295, 1359, 473, 404, 17, 6334, 26, 17, 29, 7132, 17, 2733, 8642, 92, 2947, 27, 1736, 203, 25, 473, 890, 6028, 473, 312, 499, 75, 410, 2763, 295, 1359, 473, 261, 6418, 29, 13, 5292, 22, 17, 28, 5324, 24, 92, 25452, 3462, 1736, 203, 26, 473, 1059, 9060, 473, 312, 499, 75, 410, 2763, 295, 1359, 473, 397, 7140, 12, 26, 13, 3437, 3103, 7140, 28, 5520, 26, 1736, 203, 27, 473, 1381, 10261, 473, 29090, 2763, 295, 1359, 473, 404, 17, 7235, 27, 17, 29, 5324, 17, 4763, 7140, 92, 29, 1578, 21, 1736, 203, 28, 473, 1381, 5292, 473, 17140, 2763, 295, 1359, 473, 2468, 12416, 18, 1105, 22, 18, 1105, 7140, 92, 24532, 1736, 203, 29, 473, 1666, 5082, 473, 1272, 2763, 295, 1359, 473, 1725, 3437, 18, 4033, 28, 18, 11149, 2499, 92, 2539, 27, 1736, 203, 2163, 473, 1666, 5718, 473, 17140, 2763, 295, 1359, 473, 1725, 6675, 17, 25, 9060, 17, 20, 4848, 29, 92, 2539, 22, 1736, 203, 2499, 473, 2371, 10593, 473, 17140, 2763, 295, 1359, 473, 404, 17, 26645, 17, 5193, 21, 17, 5082, 9036, 1736, 203, 2138, 473, 1725, 7235, 473, 312, 499, 75, 410, 2763, 295, 1359, 473, 404, 17, 7414, 21, 17, 22152, 17, 1611, 5324, 92, 7414, 1611, 1736, 203, 3437, 473, 2468, 5324, 473, 312, 499, 75, 410, 2763, 295, 1359, 473, 374, 3028, 28, 3657, 6418, 29, 4366, 1736, 203, 3461, 473, 2468, 11180, 473, 1272, 2763, 295, 1359, 473, 1059, 6260, 18, 5908, 20, 18, 5292, 6564, 92, 3103, 21, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 29380, 67, 17407, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 350, 473, 3329, 67, 350, 473, 1509, 67, 25304, 473, 1509, 67, 12204, 1736, 203, 64, 13138, 5345, 203, 20, 473, 30149, 473, 6969, 27, 473, 12659, 17, 2499, 17, 3657, 473, 14863, 17, 4630, 17, 3028, 1736, 203, 21, 473, 30149, 473, 26403, 473, 12659, 17, 3028, 17, 2138, 473, 14863, 17, 3103, 17, 8642, 1736, 203, 22, 473, 8303, 473, 1381, 10261, 473, 12659, 17, 8642, 17, 3787, 473, 14863, 17, 3103, 17, 3462, 1736, 203, 23, 473, 1381, 8898, 473, 890, 8749, 473, 11015, 17, 1611, 17, 5908, 473, 14863, 17, 4630, 17, 6840, 1736, 203, 24, 473, 1381, 8898, 473, 1381, 10261, 473, 12659, 17, 7677, 17, 3247, 473, 14863, 17, 3103, 17, 3787, 1736, 203, 25, 473, 1381, 11149, 473, 1381, 5292, 473, 12659, 17, 3028, 17, 2499, 473, 14863, 17, 4630, 17, 4033, 1736, 203, 26, 473, 5178, 21, 473, 890, 6028, 473, 12659, 17, 8642, 17, 2163, 473, 14863, 17, 3103, 17, 3247, 1736, 203, 27, 473, 5178, 21, 473, 1059, 9060, 473, 12659, 17, 8642, 17, 8642, 473, 14863, 17, 4630, 17, 2163, 1736, 203, 28, 473, 1666, 11149, 473, 1381, 10261, 473, 12659, 17, 2499, 17, 1611, 473, 14863, 17, 4630, 17, 4630, 1736, 203, 29, 473, 1725, 5558, 473, 1666, 5082, 473, 12659, 17, 2499, 17, 2643, 473, 14863, 17, 3103, 17, 3437, 1736, 203, 2163, 473, 1725, 9975, 473, 2468, 5324, 473, 11015, 17, 1611, 17, 6840, 473, 14863, 17, 3103, 17, 2947, 1736, 203, 2499, 473, 2468, 10525, 473, 890, 6028, 473, 12659, 17, 2163, 17, 6938, 473, 14863, 17, 4630, 17, 3657, 1736, 203, 2138, 473, 2468, 10525, 473, 1725, 7235, 473, 11015, 17, 1611, 17, 6260, 473, 14863, 17, 3103, 17, 3462, 1736, 203, 3437, 473, 2468, 10525, 473, 2468, 11180, 473, 12659, 17, 8642, 17, 4630, 473, 14863, 17, 4630, 17, 3462, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 6666, 67, 10540, 473, 6666, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4248, 22, 18, 27, 4449, 18, 9975, 3461, 473, 30149, 1736, 203, 21, 473, 261, 14509, 13, 25, 6418, 17, 4700, 9975, 473, 30149, 1736, 203, 22, 473, 404, 17, 7235, 27, 17, 29, 5324, 17, 4763, 7140, 92, 29, 1578, 21, 473, 8303, 1736, 203, 23, 473, 404, 17, 6334, 26, 17, 29, 7132, 17, 2733, 8642, 92, 2947, 27, 473, 1381, 8898, 1736, 203, 24, 473, 404, 17, 7235, 27, 17, 29, 5324, 17, 4763, 7140, 92, 29, 1578, 21, 473, 1381, 8898, 1736, 203, 25, 473, 2468, 12416, 18, 1105, 22, 18, 1105, 7140, 92, 24532, 473, 1381, 11149, 1736, 203, 26, 473, 261, 6418, 29, 13, 5292, 22, 17, 28, 5324, 24, 92, 25452, 3462, 473, 5178, 21, 1736, 203, 27, 473, 397, 7140, 12, 26, 13, 3437, 3103, 7140, 28, 5520, 26, 473, 5178, 21, 1736, 203, 28, 473, 404, 17, 7235, 27, 17, 29, 5324, 17, 4763, 7140, 92, 29, 1578, 21, 473, 1666, 11149, 1736, 203, 29, 473, 1725, 3437, 18, 4033, 28, 18, 11149, 2499, 92, 2539, 27, 473, 1725, 5558, 1736, 203, 2163, 473, 374, 3028, 28, 3657, 6418, 29, 4366, 473, 1725, 9975, 1736, 203, 2499, 473, 261, 6418, 29, 13, 5292, 22, 17, 28, 5324, 24, 92, 25452, 3462, 473, 2468, 10525, 1736, 203, 2138, 473, 404, 17, 7414, 21, 17, 22152, 17, 1611, 5324, 92, 7414, 1611, 473, 2468, 10525, 1736, 203, 3437, 473, 1059, 6260, 18, 5908, 20, 18, 5292, 6564, 92, 3103, 21, 473, 2468, 10525, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 884, 20910, 67, 350, 16, 5927, 67, 350, 16, 6171, 16, 3286, 628, 5927, 1625, 3286, 1545, 23673, 25, 578, 14310, 67, 8082, 480, 290, 471, 699, 83, 1545, 1725, 578, 6445, 480, 1381, 5718, 471, 9033, 273, 225, 578, 436, 1545, 1725, 8204, 578, 15266, 67, 8082, 273, 290, 471, 5927, 67, 350, 67, 2848, 480, 462, 71, 471, 366, 17152, 480, 225, 578, 366, 354, 1545, 22882, 471, 8228, 74, 405, 16146, 578, 284, 2645, 784, 67, 350, 273, 293, 305, 578, 4253, 273, 374, 18, 29, 5193, 12648, 2787, 21, 471, 6171, 405, 576, 471, 425, 1545, 5045, 21, 578, 7129, 69, 405, 1059, 3462, 578, 779, 79, 480, 284, 275, 1888, 779, 79, 6072, 471, 14543, 1648, 21483, 578, 10677, 273, 29805, 22, 578, 2403, 409, 1359, 1545, 12732, 6840, 6564, 29, 471, 508, 273, 324, 2390, 381, 479, 578, 6242, 281, 578, 2873, 273, 225, 471, 314, 8712, 273, 225, 471, 4945, 67, 8082, 480, 290, 471, 5927, 67, 350, 67, 1349, 303, 273, 1619, 471, 767, 405, 1725, 5520, 578, 1223, 273, 1381, 3361, 23, 578, 341, 1648, 6437, 471, 366, 273, 4711, 5193, 471, 1645, 411, 576, 1105, 471, 1427, 480, 1725, 2947, 471, 5927, 67, 350, 480, 7706, 471, 9986, 1648, 5045, 28, 471, 3739, 67, 350, 273, 425, 471, 314, 1648, 5958, 21, 578, 14947, 1545, 1381, 578, 884, 20910, 67, 350, 273, 7741, 578, 3739, 67, 8082, 273, 225, 578, 7129, 1648, 7709, 578, 25120, 405, 890, 18, 10593, 471, 2393, 1648, 2872, 22, 471, 5927, 67, 350, 67, 80, 9795, 4728, 7950, 480, 23670, 471, 9107, 74, 411, 23515, 471, 2359, 20125, 1648, 21193, 2313, 471, 5893, 480, 374, 578, 328, 480, 23421, 578, 15407, 1545, 576, 2313, 1335, 2027, 884, 20910, 67, 350, 16, 5927, 67, 350, 16, 6171, 16, 3286, 628, 3301, 1625, 3286, 1648, 6549, 11290, 578, 6171, 480, 576, 471, 341, 273, 13746, 411, 2121, 67, 529, 34, 294, 5927, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 884, 20910, 67, 350, 473, 5927, 67, 350, 473, 284, 2645, 784, 67, 350, 473, 3739, 67, 350, 473, 6171, 473, 314, 473, 314, 8712, 473, 341, 473, 328, 473, 3739, 67, 8082, 473, 14310, 67, 8082, 473, 15266, 67, 8082, 473, 4945, 67, 8082, 473, 436, 473, 1223, 473, 366, 473, 1645, 473, 14543, 473, 15407, 473, 7129, 473, 1427, 473, 2393, 473, 2873, 473, 366, 17152, 473, 9033, 473, 767, 473, 6445, 473, 25120, 473, 14947, 473, 699, 83, 473, 5893, 473, 2359, 20125, 473, 10677, 473, 366, 354, 473, 7129, 69, 473, 1427, 69, 473, 425, 473, 9986, 473, 4253, 473, 508, 473, 779, 79, 473, 2403, 409, 1359, 473, 9107, 74, 473, 8228, 74, 473, 5927, 67, 350, 67, 2848, 473, 5927, 67, 350, 67, 80, 9795, 4728, 7950, 473, 5927, 67, 350, 67, 1349, 303, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 11212, 473, 225, 473, 7081, 21, 473, 324, 6582, 473, 225, 473, 890, 473, 8231, 473, 225, 473, 4200, 473, 1728, 473, 225, 473, 225, 473, 290, 473, 225, 473, 14052, 473, 5958, 9060, 473, 1059, 5558, 473, 16647, 473, 18091, 473, 890, 473, 4752, 473, 5342, 473, 26103, 473, 225, 473, 225, 473, 225, 473, 890, 4630, 473, 30116, 473, 890, 18, 2539, 473, 11201, 473, 404, 473, 890, 473, 1725, 6030, 473, 6580, 27, 473, 576, 473, 14856, 473, 10213, 473, 28298, 473, 225, 473, 374, 18, 10261, 473, 324, 669, 265, 1755, 12480, 899, 473, 24516, 679, 19209, 87, 277, 473, 225, 473, 1728, 23, 473, 24645, 473, 23904, 473, 7081, 21, 473, 7081, 21, 1736, 203, 21, 473, 6549, 11212, 473, 225, 473, 462, 21, 473, 6227, 69, 473, 225, 473, 576, 473, 9131, 473, 225, 473, 5342, 473, 2468, 473, 225, 473, 225, 473, 290, 473, 225, 473, 22072, 473, 404, 28644, 473, 3847, 23, 473, 18106, 473, 9035, 473, 1728, 473, 4752, 473, 11201, 473, 20963, 473, 225, 473, 225, 473, 225, 473, 4248, 21, 473, 28244, 473, 576, 18, 6669, 473, 6969, 473, 374, 473, 404, 473, 2371, 8643, 473, 5196, 28, 473, 1666, 473, 9131, 473, 11201, 473, 576, 2643, 473, 225, 473, 374, 18, 11149, 473, 462, 335, 28768, 9578, 12480, 899, 473, 7812, 1026, 17, 19067, 19209, 87, 473, 225, 473, 21856, 473, 21822, 473, 17198, 473, 462, 21, 473, 462, 21, 1736, 203, 22, 473, 6549, 11212, 473, 225, 473, 927, 21, 473, 6080, 71, 473, 225, 473, 1725, 473, 12899, 473, 225, 473, 1728, 473, 5342, 473, 225, 473, 225, 473, 290, 473, 225, 473, 4248, 29, 473, 404, 2643, 26, 473, 3847, 28, 473, 13191, 473, 8063, 473, 2371, 473, 10659, 473, 6969, 473, 6549, 473, 225, 473, 225, 473, 225, 473, 890, 9803, 473, 18973, 473, 1059, 18, 2499, 473, 10213, 473, 374, 473, 374, 473, 2371, 8898, 473, 890, 8749, 473, 5958, 473, 15935, 473, 13438, 473, 576, 4366, 473, 225, 473, 374, 18, 11861, 473, 1619, 941, 464, 30763, 12797, 87, 473, 20851, 6384, 19209, 87, 473, 225, 473, 19332, 473, 2130, 473, 1619, 473, 927, 21, 473, 927, 21, 1736, 203, 23, 473, 6549, 11212, 473, 225, 473, 7600, 21, 473, 417, 3839, 473, 225, 473, 2371, 473, 5342, 473, 225, 473, 2371, 473, 2593, 473, 225, 473, 225, 473, 290, 473, 225, 473, 5958, 27, 473, 2371, 8749, 473, 8043, 28, 473, 5342, 473, 1725, 473, 576, 473, 13159, 473, 2468, 473, 2872, 473, 225, 473, 225, 473, 225, 473, 4248, 23, 473, 16340, 473, 1381, 18, 4033, 473, 5342, 473, 404, 473, 374, 473, 6437, 27, 473, 576, 9498, 473, 1381, 473, 9035, 473, 8043, 473, 2872, 23, 473, 225, 473, 374, 18, 28, 473, 364, 88, 4031, 4644, 417, 3839, 285, 31604, 473, 366, 11580, 1917, 652, 473, 225, 473, 13822, 473, 1728, 27, 473, 417, 3839, 473, 7600, 21, 473, 7600, 21, 1736, 203, 24, 473, 6549, 11212, 473, 225, 473, 15308, 22, 473, 290, 6582, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 473, 5927, 67, 350, 473, 6171, 473, 3286, 1736, 203, 64, 13138, 5345, 203, 20, 473, 225, 473, 5186, 22, 473, 1666, 473, 6549, 9060, 1736, 203, 21, 473, 225, 473, 5186, 22, 473, 4648, 473, 6549, 5877, 1736, 203, 22, 473, 225, 473, 7600, 21, 473, 2371, 473, 6549, 11212, 1736, 203, 23, 473, 225, 473, 417, 4361, 473, 5958, 473, 6549, 5877, 1736, 203, 24, 473, 225, 473, 7501, 473, 1725, 473, 6549, 9060, 1736, 203, 25, 473, 225, 473, 15308, 22, 473, 1666, 473, 6549, 5877, 1736, 203, 26, 473, 225, 473, 1844, 21, 473, 1059, 473, 6549, 9060, 1736, 203, 27, 473, 225, 473, 1844, 21, 473, 1381, 473, 6549, 9036, 1736, 203, 28, 473, 225, 473, 2020, 21, 473, 1728, 473, 6549, 5877, 1736, 203, 29, 473, 225, 473, 4945, 23, 473, 1728, 473, 6549, 9060, 1736, 203, 2163, 473, 225, 473, 4945, 26, 473, 2468, 473, 6549, 5877, 1736, 203, 2499, 473, 12391, 473, 316, 22, 473, 2593, 473, 6549, 5193, 1736, 203, 2138, 473, 12391, 473, 7180, 22, 473, 576, 473, 404, 5482, 22, 1736, 203, 3437, 473, 12391, 473, 1844, 24, 473, 890, 473, 404, 5482, 22, 1736, 203, 3461, 473, 12391, 473, 1844, 24, 473, 1381, 473, 6549, 12416, 1736, 203, 3600, 473, 12391, 473, 5818, 21, 473, 4648, 473, 6549, 5193, 1736, 203, 2313, 473, 12391, 473, 9133, 22, 473, 2371, 473, 6549, 9349, 1736, 203, 4033, 473, 12391, 473, 4945, 27, 473, 5958, 473, 6549, 5193, 1736, 203, 2643, 473, 524, 473, 392, 69, 473, 404, 473, 4044, 24, 1736, 203, 3657, 473, 524, 473, 392, 69, 473, 576, 473, 23673, 27, 1736, 203, 3462, 473, 524, 473, 392, 69, 473, 576, 473, 23673, 28, 1736, 203, 5340, 473, 524, 473, 392, 69, 473, 576, 473, 4044, 22, 1736, 203, 3787, 473, 524, 473, 392, 69, 473, 890, 473, 16291, 1736, 203, 4366, 473, 524, 473, 392, 69, 473, 890, 473, 4044, 21, 1736, 203, 3247, 473, 524, 473, 392, 69, 473, 890, 473, 4044, 23, 1736, 203, 2947, 473, 524, 473, 392, 69, 473, 1059, 473, 404, 11984, 1736, 203, 5558, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 6028, 1736, 203, 5324, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 8148, 1736, 203, 6030, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 7301, 1736, 203, 5540, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 11212, 1736, 203, 5082, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 9036, 1736, 203, 6938, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 5608, 1736, 203, 1578, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 7235, 1736, 203, 3707, 473, 524, 473, 324, 287, 473, 404, 473, 5342, 10261, 1736, 203, 5026, 473, 524, 473, 324, 287, 473, 404, 473, 23673, 27, 1736, 203, 4763, 473, 524, 473, 324, 287, 473, 404, 473, 13695, 1736, 203, 5718, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 4848, 1736, 203, 6418, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 9470, 1736, 203, 7414, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 5877, 1736, 203, 5520, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 6669, 1736, 203, 7132, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 4700, 1736, 203, 9803, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 3672, 1736, 203, 9452, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 11861, 1736, 203, 8942, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 11149, 1736, 203, 6334, 473, 524, 473, 324, 287, 473, 576, 473, 5342, 6675, 1736, 203, 7950, 473, 524, 473, 324, 287, 473, 576, 473, 23673, 24, 1736, 203, 8749, 473, 524, 473, 324, 287, 473, 576, 473, 23673, 26, 1736, 203, 9462, 473, 524, 473, 324, 287, 473, 576, 473, 20869, 1736, 203, 8875, 473, 524, 473, 324, 287, 473, 890, 473, 5342, 9498, 1736, 203, 7616, 473, 524, 473, 324, 287, 473, 890, 473, 5342, 1105, 1736, 203, 3361, 473, 524, 473, 324, 287, 473, 890, 473, 5342, 9222, 1736, 203, 10593, 473, 524, 473, 324, 287, 473, 890, 473, 5342, 9060, 1736, 203, 9401, 473, 524, 473, 324, 287, 473, 890, 473, 23673, 22, 1736, 203, 8643, 473, 524, 473, 324, 287, 473, 890, 473, 23673, 23, 1736, 203, 6564, 473, 524, 473, 324, 287, 473, 890, 473, 23673, 25, 1736, 203, 2539, 473, 524, 473, 324, 287, 473, 890, 473, 4044, 24, 1736, 203, 4313, 473, 524, 473, 324, 287, 473, 890, 473, 19451, 1736, 203, 10321, 473, 524, 473, 324, 287, 473, 890, 473, 12461, 1736, 203, 8204, 473, 524, 473, 324, 287, 473, 1059, 473, 5342, 4449, 1736, 203, 6162, 473, 524, 473, 324, 287, 473, 1059, 473, 5342, 8285, 1736, 203, 4848, 473, 524, 473, 324, 287, 473, 1059, 473, 5342, 7140, 1736, 203, 9498, 473, 524, 473, 324, 287, 473, 1059, 473, 23673, 28, 1736, 203, 8898, 473, 524, 473, 324, 287, 473, 1059, 473, 404, 11984, 1736, 203, 4449, 473, 524, 473, 324, 287, 473, 1059, 473, 16291, 1736, 203, 1105, 473, 524, 473, 324, 287, 473, 1059, 473, 4044, 22, 1736, 203, 9222, 473, 524, 473, 324, 287, 473, 1059, 473, 4044, 23, 1736, 203, 6028, 473, 524, 473, 324, 287, 473, 1059, 473, 4044, 25, 1736, 203, 9599, 473, 524, 473, 324, 287, 473, 1059, 473, 27212, 1736, 203, 9470, 473, 524, 473, 324, 287, 473, 1059, 473, 4044, 27, 1736, 203, 8148, 473, 524, 473, 324, 287, 473, 1381, 473, 5342, 10321, 1736, 203, 7301, 473, 524, 473, 324, 287, 473, 1381, 473, 5342, 5193, 1736, 203, 11212, 473, 524, 473, 324, 287, 473, 1381, 473, 23673, 20, 1736, 203, 9060, 473, 524, 473, 324, 287, 473, 1381, 473, 4044, 28, 1736, 203, 9036, 473, 524, 473, 324, 287, 473, 1381, 473, 4044, 29, 1736, 203, 5608, 473, 524, 473, 324, 287, 473, 1381, 473, 18965, 1736, 203, 5877, 473, 524, 473, 324, 287, 473, 1381, 473, 27853, 1736, 203, 6669, 473, 524, 473, 324, 287, 473, 1666, 2 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 16017, 3631, 268, 22, 18, 3510, 310, 628, 667, 13924, 487, 268, 21, 1233, 443, 15750, 487, 268, 22, 603, 268, 21, 18, 3510, 310, 273, 268, 22, 18, 3510, 310, 1625, 7725, 67, 2696, 273, 6549, 23, 471, 443, 337, 67, 529, 273, 7691, 471, 7519, 273, 15892, 578, 15051, 480, 576, 6669, 25, 5324, 18, 9498, 1041, 635, 443, 337, 67, 529, 7999, 7725, 67, 2696, 480, 20457, 411, 2121, 67, 529, 34, 294, 667, 13924, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 10504, 473, 7725, 67, 2696, 473, 7519, 1736, 203, 64, 13138, 5345, 203, 20, 473, 17310, 744, 1917, 473, 404, 5026, 473, 1728, 1736, 203, 21, 473, 462, 464, 749, 473, 890, 5877, 473, 1728, 1736, 203, 22, 473, 284, 1826, 3624, 473, 5045, 25, 473, 12732, 1736, 203, 23, 473, 290, 428, 8377, 473, 12292, 473, 16146, 1736, 203, 24, 473, 13658, 473, 8063, 473, 13438, 1736, 203, 25, 473, 600, 305, 4728, 473, 404, 5026, 473, 15743, 1736, 203, 26, 473, 17310, 744, 1917, 473, 5045, 23, 473, 1728, 1736, 203, 27, 473, 268, 528, 80, 280, 473, 1725, 2138, 473, 22821, 1736, 203, 28, 473, 7864, 89, 591, 473, 404, 3437, 473, 30116, 1736, 203, 29, 473, 21295, 473, 20457, 473, 16340, 1736, 203, 2163, 473, 524, 755, 77, 473, 1381, 9462, 473, 10659, 1736, 203, 2499, 473, 524, 755, 77, 473, 5045, 23, 473, 17495, 1736, 203, 2138, 473, 302, 26253, 473, 2371, 10321, 473, 6549, 1736, 203, 3437, 473, 7864, 89, 591, 473, 9259, 473, 4711, 1736, 203, 3461, 473, 600, 305, 4728, 473, 1059, 5026, 473, 3847, 1736, 203, 3600, 473, 7864, 89, 591, 473, 1725, 6334, 473, 4248, 1736, 203, 2313, 473, 324, 1949, 74, 4728, 473, 2371, 713, 473, 2593, 1736, 203, 4033, 473, 7573, 69, 473, 1725, 6840, 473, 9131, 1736, 203, 2643, 473, 314, 815, 473, 2371, 8642, 473, 15892, 1736, 203, 3657, 473, 314, 815, 473, 890, 3461, 473, 1728, 1736, 203, 3462, 473, 2774, 473, 12292, 473, 5196, 1736, 203, 5340, 473, 268, 528, 80, 280, 473, 6549, 23, 473, 26465, 1736, 203, 3787, 473, 7212, 473, 2468, 9060, 473, 1728, 1736, 203, 4366, 473, 314, 297, 1518, 473, 404, 3657, 473, 14995, 1736, 203, 3247, 473, 436, 421, 19930, 473, 576, 9498, 473, 4752, 1736, 203, 2947, 473, 384, 27371, 473, 23633, 473, 404, 3437, 1736, 203, 5558, 473, 7212, 473, 2371, 4033, 473, 2593, 1736, 203, 5324, 473, 2774, 473, 1059, 2947, 473, 11201, 1736, 203, 6030, 473, 17310, 2196, 8377, 473, 890, 8875, 473, 21119, 1736, 203, 5540, 473, 462, 464, 749, 473, 1725, 3028, 473, 4648, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 443, 15750, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 443, 337, 67, 529, 473, 10504, 473, 15051, 1736, 203, 64, 13138, 5345, 203, 20, 473, 276, 427, 330, 24691, 18, 473, 462, 464, 749, 473, 4561, 3028, 21, 18, 8749, 1736, 203, 21, 473, 10054, 4676, 473, 15350, 80, 395, 1200, 473, 5178, 6669, 2163, 18, 2539, 1736, 203, 22, 473, 4927, 473, 268, 528, 80, 280, 473, 1666, 2733, 27092, 18, 5292, 1736, 203, 23, 473, 24758, 2102, 473, 12408, 360, 30678, 473, 2468, 9452, 30042, 18, 6669, 1736, 203, 24, 473, 13667, 310, 473, 17310, 2196, 8377, 473, 576, 22135, 5324, 18, 8204, 1736, 203, 25, 473, 2952, 18, 31363, 18, 473, 600, 305, 4728, 473, 1381, 9036, 5608, 25, 18, 5908, 1736, 203, 26, 473, 26858, 473, 25995, 6592, 473, 1666, 17506, 9452, 18, 6028, 1736, 203, 27, 473, 2236, 310, 473, 7864, 89, 591, 473, 13291, 2643, 7132, 18, 9975, 1736, 203, 28, 473, 1161, 18, 31363, 18, 473, 17310, 744, 1917, 473, 1728, 4449, 8285, 18, 8148, 1736, 203, 29, 473, 8191, 473, 328, 728, 29650, 473, 1666, 1611, 6030, 23, 18, 26, 1736, 203, 2163, 473, 574, 1359, 473, 15350, 80, 395, 1200, 473, 1725, 6028, 28, 6938, 18, 5877, 1736, 203, 2499, 473, 8244, 4676, 473, 25995, 6592, 473, 1059, 7677, 2539, 27, 18, 11180, 1736, 203, 2138, 473, 6143, 744, 2758, 2102, 473, 4045, 2750, 473, 2371, 11290, 6564, 21, 18, 8749, 1736, 203, 3437, 473, 487, 313, 6037, 473, 268, 528, 80, 280, 473, 1666, 4033, 30304, 18, 11290, 1736, 203, 3461, 473, 225, 421, 1810, 2102, 473, 324, 1949, 74, 4728, 473, 2371, 5026, 2539, 20, 18, 27, 1736, 203, 3600, 473, 7691, 473, 268, 528, 80, 280, 473, 16977, 3361, 10593, 18, 5608, 1736, 203, 2313, 473, 4250, 93, 343, 4676, 473, 286, 20667, 816, 473, 1725, 8875, 4033, 25, 18, 3028, 1736, 203, 4033, 473, 4233, 473, 23670, 72, 1978, 473, 2371, 4700, 4848, 25, 18, 2499, 1736, 203, 2643, 473, 415, 557, 18, 24691, 18, 473, 2774, 473, 576, 6669, 25, 5324, 18, 9498, 1736, 203, 3657, 473, 1791, 343, 18, 24691, 18, 473, 767, 2648, 473, 1381, 3462, 23, 3361, 18, 9222, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 16017, 13, 473, 10504, 1736, 203, 64, 13138, 5345, 203, 20, 473, 890, 473, 7864, 89, 591, 1736, 203, 21, 473, 576, 473, 268, 528, 80, 280, 1736, 203, 22, 473, 404, 473, 324, 1949, 74, 4728, 1736, 203, 23, 473, 576, 473, 462, 464, 749, 1736, 203, 24, 473, 576, 473, 17310, 744, 1917, 1736, 203, 25, 473, 576, 473, 268, 528, 80, 280, 1736, 203, 26, 473, 404, 473, 17310, 2196, 8377, 1736, 203, 27, 473, 576, 473, 600, 305, 4728, 1736, 203, 28, 473, 576, 473, 268, 528, 80, 280, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3419, 67, 350, 628, 3419, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 480, 1059, 7812, 2027, 3419, 67, 350, 628, 18551, 1371, 67, 9274, 1041, 635, 3419, 67, 350, 7999, 3419, 67, 350, 411, 1728, 411, 2121, 67, 529, 34, 294, 3419, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 473, 508, 473, 18285, 473, 6382, 67, 14240, 473, 9388, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 4834, 451, 359, 436, 6132, 473, 9626, 473, 366, 485, 31836, 473, 8063, 1736, 203, 21, 473, 576, 473, 302, 304, 5926, 387, 473, 2071, 473, 324, 546, 292, 473, 5196, 1736, 203, 22, 473, 890, 473, 1131, 82, 1385, 314, 265, 94, 5349, 94, 473, 9626, 473, 366, 485, 31836, 473, 17077, 1736, 203, 23, 473, 1059, 473, 7603, 292, 1721, 266, 473, 9626, 473, 366, 485, 31836, 473, 14856, 1736, 203, 24, 473, 1381, 473, 15272, 265, 6108, 908, 73, 473, 9626, 473, 366, 485, 31836, 473, 12292, 1736, 203, 25, 473, 1666, 473, 1675, 8082, 569, 31604, 473, 9626, 473, 366, 485, 31836, 473, 18106, 1736, 203, 26, 473, 2371, 473, 741, 637, 9521, 312, 952, 86, 630, 473, 9626, 473, 366, 485, 31836, 473, 6580, 1736, 203, 27, 473, 1725, 473, 1658, 10370, 93, 8479, 1051, 473, 2071, 473, 10613, 4099, 473, 13191, 1736, 203, 28, 473, 2468, 473, 525, 2753, 721, 78, 345, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18012, 1736, 203, 29, 473, 1728, 473, 366, 275, 1176, 3157, 15833, 473, 9626, 473, 19720, 366, 485, 31836, 473, 18091, 1736, 203, 2163, 473, 4648, 473, 1658, 5604, 816, 473, 9626, 473, 19720, 366, 485, 31836, 473, 6580, 1736, 203, 2499, 473, 2593, 473, 8244, 3674, 328, 2616, 275, 31317, 473, 9626, 473, 3161, 343, 7654, 473, 18106, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 67, 9274, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 3419, 67, 350, 473, 11387, 67, 20478, 473, 309, 67, 2854, 67, 957, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 473, 1728, 473, 284, 1736, 203, 21, 473, 1381, 473, 2371, 473, 1725, 473, 268, 1736, 203, 22, 473, 890, 473, 1059, 473, 1666, 473, 268, 1736, 203, 23, 473, 2371, 473, 2468, 473, 576, 473, 268, 1736, 203, 24, 473, 1059, 473, 890, 473, 890, 473, 268, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3419, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 23, 473, 1059, 1736, 203, 24, 473, 1381, 1736, 203, 25, 473, 1666, 1736, 203, 26, 473, 2371, 1736, 203, 27, 473, 1725, 1736, 203, 28, 473, 2468, 1736, 203, 29, 473, 1728, 1736, 203, 2163, 473, 4648, 1736, 203, 2499, 473, 2593, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 13957, 67, 2107, 13, 473, 314, 67, 8522, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 374, 1736, 203, 21, 473, 404, 473, 374, 1736, 203, 22, 473, 404, 473, 374, 1736, 203, 23, 473, 404, 473, 374, 1736, 203, 24, 473, 404, 473, 374, 1736, 203, 25, 473, 404, 473, 374, 1736, 203, 26, 473, 404, 473, 374, 1736, 203, 27, 473, 404, 473, 374, 1736, 203, 28, 473, 404, 473, 374, 1736, 203, 29, 473, 404, 473, 374, 1736, 203, 2163, 473, 404, 473, 374, 1736, 203, 2499, 473, 404, 473, 374, 1736, 203, 2138, 473, 404, 473, 374, 1736, 203, 3437, 473, 404, 473, 374, 1736, 203, 3461, 473, 404, 473, 374, 1736, 203, 3600, 473, 404, 473, 374, 1736, 203, 2313, 473, 404, 473, 374, 1736, 203, 4033, 473, 404, 473, 374, 1736, 203, 2643, 473, 404, 473, 374, 1736, 203, 3657, 473, 404, 473, 374, 1736, 203, 3462, 473, 404, 473, 374, 1736, 203, 5340, 473, 404, 473, 374, 1736, 203, 3787, 473, 404, 473, 374, 1736, 203, 4366, 473, 404, 473, 374, 1736, 203, 3247, 473, 404, 473, 374, 1736, 203, 2947, 473, 404, 473, 374, 1736, 203, 5558, 473, 404, 473, 374, 1736, 203, 5324, 473, 404, 473, 374, 1736, 203, 6030, 473, 404, 473, 374, 1736, 203, 5540, 473, 404, 473, 374, 1736, 203, 5082, 473, 404, 473, 404, 1736, 203, 6938, 473, 404, 473, 374, 1736, 203, 1578, 473, 404, 473, 374, 1736, 203, 3707, 473, 404, 473, 374, 1736, 203, 5026, 473, 404, 473, 374, 1736, 203, 4763, 473, 404, 473, 374, 1736, 203, 5718, 473, 404, 473, 374, 1736, 203, 6418, 473, 404, 473, 374, 1736, 203, 7414, 473, 404, 473, 374, 1736, 203, 5520, 473, 404, 473, 374, 1736, 203, 7132, 473, 404, 473, 374, 1736, 203, 9803, 473, 404, 473, 374, 1736, 203, 9452, 473, 404, 473, 890, 1736, 203, 8942, 473, 404, 473, 374, 1736, 203, 6334, 473, 404, 473, 374, 1736, 203, 7950, 473, 404, 473, 374, 1736, 203, 8749, 473, 404, 473, 374, 1736, 203, 9462, 473, 404, 473, 374, 1736, 203, 8875, 473, 404, 473, 374, 1736, 203, 7616, 473, 404, 473, 404, 1736, 203, 3361, 473, 404, 473, 374, 1736, 203, 10593, 473, 404, 473, 374, 1736, 203, 9401, 473, 404, 473, 374, 1736, 203, 8643, 473, 404, 473, 374, 1736, 203, 6564, 473, 404, 473, 374, 1736, 203, 2539, 473, 404, 473, 374, 1736, 203, 4313, 473, 404, 473, 374, 1736, 203, 10321, 473, 404, 473, 374, 1736, 203, 8204, 473, 404, 473, 374, 1736, 203, 6162, 473, 404, 473, 374, 1736, 203, 4848, 473, 404, 473, 374, 1736, 203, 9498, 473, 404, 473, 374, 1736, 203, 8898, 473, 404, 473, 374, 1736, 203, 4449, 473, 404, 473, 374, 1736, 203, 1105, 473, 404, 473, 374, 1736, 203, 9222, 473, 404, 473, 374, 1736, 203, 6028, 473, 404, 473, 374, 1736, 203, 9599, 473, 404, 473, 374, 1736, 203, 9470, 473, 404, 473, 374, 1736, 203, 8148, 473, 404, 473, 374, 1736, 203, 7301, 473, 404, 473, 374, 1736, 203, 11212, 473, 404, 473, 374, 1736, 203, 9060, 473, 404, 473, 374, 1736, 203, 9036, 473, 404, 473, 374, 1736, 203, 5608, 473, 404, 473, 374, 1736, 203, 5877, 473, 404, 473, 374, 1736, 203, 6669, 473, 404, 473, 374, 1736, 203, 4700, 473, 404, 473, 374, 1736, 203, 8285, 473, 404, 473, 374, 1736, 203, 7235, 473, 404, 473, 374, 1736, 203, 3672, 473, 404, 473, 374, 1736, 203, 11861, 473, 404, 473, 374, 1736, 203, 11149, 473, 404, 473, 374, 1736, 203, 10261, 473, 404, 473, 374, 1736, 203, 5193, 473, 404, 473, 374, 1736, 203, 7140, 473, 404, 473, 374, 1736, 203, 5292, 473, 404, 473, 374, 1736, 203, 11035, 473, 404, 473, 374, 1736, 203, 5482, 473, 404, 473, 374, 1736, 203, 6675, 473, 404, 473, 374, 1736, 203, 9349, 473, 404, 473, 374, 1736, 203, 12416, 473, 404, 473, 374, 1736, 203, 9975, 473, 404, 473, 374, 1736, 203, 11180, 473, 404, 473, 374, 1736, 203, 11290, 473, 404, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 779, 79, 67, 350, 628, 779, 79, 1625, 919, 480, 29032, 471, 779, 79, 67, 350, 273, 23904, 3028, 471, 779, 79, 67, 529, 273, 276, 14522, 7797, 652, 471, 12797, 480, 276, 9523, 267, 18757, 77, 471, 5251, 273, 584, 7812, 2027, 779, 79, 67, 350, 628, 6382, 67, 13957, 1625, 2403, 409, 1359, 1648, 1728, 5026, 3672, 28, 411, 2121, 67, 529, 34, 294, 779, 79, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 779, 79, 67, 350, 473, 779, 79, 67, 529, 473, 779, 79, 67, 4930, 473, 12797, 473, 919, 473, 5251, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 70, 1611, 473, 436, 6760, 831, 779, 79, 473, 225, 473, 524, 70, 2273, 473, 15308, 473, 584, 1736, 203, 21, 473, 3770, 1611, 473, 645, 3592, 1155, 779, 79, 473, 225, 473, 524, 869, 265, 69, 473, 6790, 473, 584, 1736, 203, 22, 473, 392, 69, 1611, 473, 7603, 292, 384, 361, 5077, 434, 392, 69, 580, 381, 473, 1675, 4530, 652, 31, 392, 69, 580, 381, 384, 361, 5077, 473, 392, 69, 580, 381, 473, 3474, 473, 584, 1736, 203, 23, 473, 419, 80, 1611, 473, 419, 2456, 1917, 384, 361, 5077, 473, 225, 473, 419, 2456, 1917, 473, 2229, 473, 584, 1736, 203, 24, 473, 419, 80, 3103, 473, 436, 539, 414, 26503, 9468, 316, 419, 2456, 1917, 473, 326, 26503, 9468, 316, 419, 2456, 1917, 31, 2125, 264, 77, 456, 652, 473, 419, 2456, 1917, 473, 2229, 473, 584, 1736, 203, 25, 473, 622, 80, 1611, 473, 622, 80, 27677, 17, 74, 406, 265, 1056, 93, 384, 361, 5077, 473, 225, 473, 622, 80, 27677, 473, 18812, 473, 584, 1736, 203, 26, 473, 622, 80, 3103, 473, 7005, 264, 652, 473, 225, 473, 622, 80, 27677, 473, 18812, 473, 584, 1736, 203, 27, 473, 324, 287, 1611, 473, 312, 361, 4530, 1712, 275, 344, 19209, 87, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 28, 473, 324, 287, 3103, 473, 394, 310, 1917, 779, 79, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 29, 473, 324, 287, 4630, 473, 28361, 790, 779, 79, 277, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 2163, 473, 324, 287, 3028, 473, 3952, 1826, 17417, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 2499, 473, 324, 287, 6260, 473, 6921, 650, 287, 779, 79, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 2138, 473, 324, 287, 7677, 473, 28361, 790, 779, 79, 6072, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 3437, 473, 324, 287, 8642, 473, 28361, 790, 779, 79, 277, 2835, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 3461, 473, 324, 287, 5908, 473, 28361, 790, 779, 79, 4674, 473, 2125, 3036, 304, 884, 20910, 779, 79, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 3600, 473, 324, 287, 2163, 473, 19272, 1266, 267, 779, 79, 473, 28361, 790, 779, 79, 331, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 2313, 473, 324, 287, 2499, 473, 1663, 280, 649, 384, 361, 5077, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 4033, 473, 324, 287, 2138, 473, 28361, 790, 779, 79, 622, 5861, 13002, 677, 14727, 473, 225, 473, 324, 2390, 381, 479, 473, 3481, 473, 584, 1736, 203, 2643, 473, 23904, 1611, 473, 24516, 679, 19209, 87, 277, 473, 29051, 84, 790, 19382, 19209, 87, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 3657, 473, 23904, 3103, 473, 302, 485, 81, 15347, 19209, 87, 473, 7812, 779, 79, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 3462, 473, 23904, 4630, 473, 24516, 679, 19209, 87, 6072, 473, 225, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 5340, 473, 23904, 3028, 473, 356, 2329, 19382, 19209, 87, 473, 225, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 3787, 473, 23904, 6260, 473, 24516, 679, 19209, 87, 277, 2835, 473, 225, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 4366, 473, 23904, 7677, 473, 366, 318, 1787, 1917, 1712, 275, 344, 1026, 19067, 19209, 87, 473, 225, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 3247, 473, 23904, 8642, 473, 284, 275, 1888, 779, 79, 473, 225, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 2947, 473, 23904, 6840, 473, 16430, 3324, 652, 473, 27203, 20249, 473, 324, 669, 265, 473, 10843, 473, 584, 1736, 203, 5558, 473, 1681, 1611, 473, 436, 6760, 831, 19209, 87, 473, 225, 473, 6139, 287, 83, 473, 15308, 473, 584, 1736, 203, 5324, 473, 1681, 3103, 473, 320, 715, 1291, 335, 779, 79, 277, 473, 225, 473, 6139, 287, 83, 473, 15308, 473, 584, 1736, 203, 6030, 473, 1681, 4630, 473, 320, 715, 1291, 335, 779, 79, 6072, 473, 225, 473, 6139, 287, 83, 473, 15308, 473, 584, 1736, 203, 5540, 473, 1681, 3028, 473, 29553, 284, 1826, 6384, 19209, 87, 473, 22572, 11612, 884, 20910, 779, 79, 473, 6139, 287, 83, 473, 15308, 473, 584, 1736, 203, 5082, 473, 848, 1611, 473, 10843, 3395, 1403, 402, 779, 79, 473, 8854, 494, 779, 79, 473, 848, 1917, 473, 29797, 473, 584, 1736, 203, 6938, 473, 848, 3103, 473, 8854, 494, 779, 79, 473, 225, 473, 848, 1917, 473, 29797, 473, 584, 1736, 203, 1578, 473, 17198, 1611, 473, 328, 911, 6641, 779, 79, 277, 473, 7812, 1026, 17, 19067, 19209, 87, 473, 462, 335, 28768, 473, 14254, 473, 584, 1736, 203, 3707, 473, 17198, 3103, 473, 10213, 13623, 19382, 779, 79, 473, 225, 473, 462, 335, 28768, 473, 14254, 473, 584, 1736, 203, 5026, 473, 17198, 4630, 473, 328, 911, 6641, 779, 79, 6072, 473, 225, 473, 462, 335, 28768, 473, 14254, 473, 584, 1736, 203, 4763, 473, 17198, 3028, 473, 328, 911, 6641, 779, 79, 277, 2835, 473, 225, 473, 462, 335, 28768, 473, 14254, 473, 584, 1736, 203, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 779, 79, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 524, 70, 1611, 1736, 203, 21, 473, 3770, 1611, 1736, 203, 22, 473, 392, 69, 1611, 1736, 203, 23, 473, 419, 80, 1611, 1736, 203, 24, 473, 622, 80, 1611, 1736, 203, 25, 473, 324, 287, 1611, 1736, 203, 26, 473, 324, 287, 3103, 1736, 203, 27, 473, 324, 287, 4630, 1736, 203, 28, 473, 324, 287, 3028, 1736, 203, 29, 473, 324, 287, 6260, 1736, 203, 2163, 473, 324, 287, 7677, 1736, 203, 2499, 473, 324, 287, 8642, 1736, 203, 2138, 473, 324, 287, 5908, 1736, 203, 3437, 473, 324, 287, 2163, 1736, 203, 3461, 473, 324, 287, 2499, 1736, 203, 3600, 473, 23904, 1611, 1736, 203, 2313, 473, 23904, 3103, 1736, 203, 4033, 473, 23904, 4630, 1736, 203, 2643, 473, 23904, 3028, 1736, 203, 3657, 473, 23904, 6260, 1736, 203, 3462, 473, 23904, 7677, 1736, 203, 5340, 473, 23904, 8642, 1736, 203, 3787, 473, 23904, 6840, 1736, 203, 4366, 473, 1681, 1611, 1736, 203, 3247, 473, 1681, 3103, 1736, 203, 2947, 473, 1681, 4630, 1736, 203, 5558, 473, 1681, 3028, 1736, 203, 5324, 473, 848, 1611, 1736, 203, 6030, 473, 848, 3103, 1736, 203, 5540, 473, 17198, 1611, 1736, 203, 5082, 473, 17198, 3103, 1736, 203, 6938, 473, 17198, 4630, 1736, 203, 1578, 473, 17198, 3028, 1736, 203, 3707, 473, 17198, 6260, 1736, 203, 5026, 473, 17198, 7677, 1736, 203, 4763, 473, 17198, 8642, 1736, 203, 5718, 473, 17198, 6840, 1736, 203, 6418, 473, 17198, 5908, 1736, 203, 7414, 473, 17198, 2163, 1736, 203, 5520, 473, 17198, 2499, 1736, 203, 7132, 473, 17198, 2138, 1736, 203, 9803, 473, 276, 267, 1611, 1736, 203, 9452, 473, 276, 267, 3103, 1736, 203, 8942, 473, 276, 267, 4630, 1736, 203, 6334, 473, 276, 267, 3028, 1736, 203, 7950, 473, 276, 267, 6260, 1736, 203, 8749, 473, 276, 267, 7677, 1736, 203, 9462, 473, 276, 267, 8642, 1736, 203, 8875, 473, 1619, 1611, 1736, 203, 7616, 473, 1619, 3103, 1736, 203, 3361, 473, 1619, 4630, 1736, 203, 10593, 473, 1619, 3028, 1736, 203, 9401, 473, 1619, 6260, 1736, 203, 8643, 473, 1619, 7677, 1736, 203, 6564, 473, 1619, 8642, 1736, 203, 2539, 473, 1619, 5908, 1736, 203, 4313, 473, 927, 80, 1611, 1736, 203, 10321, 473, 645, 1611, 1736, 203, 8204, 473, 645, 3103, 1736, 203, 6162, 473, 645, 4630, 1736, 203, 4848, 473, 645, 3028, 1736, 203, 9498, 473, 10613, 1611, 1736, 203, 8898, 473, 2548, 1611, 1736, 203, 4449, 473, 3023, 1611, 1736, 203, 1105, 473, 3023, 3103, 1736, 203, 9222, 473, 3023, 4630, 1736, 203, 6028, 473, 3023, 3028, 1736, 203, 9599, 473, 741, 90, 1611, 1736, 203, 9470, 473, 12531, 1611, 1736, 203, 8148, 473, 364, 1611, 1736, 203, 7301, 473, 364, 4630, 1736, 203, 11212, 473, 8244, 69, 1611, 1736, 203, 9060, 473, 314, 383, 1611, 1736, 203, 9036, 473, 3087, 1611, 1736, 203, 5608, 473, 17895, 1611, 1736, 203, 5877, 473, 24338, 1611, 1736, 203, 6669, 473, 366, 1395, 1611, 1736, 203, 4700, 473, 366, 1395, 3103, 1736, 203, 8285, 473, 366, 3797, 1611, 1736, 203, 7235, 473, 366, 3797, 3103, 1736, 203, 3672, 473, 1547, 1611, 1736, 203, 11861, 473, 1547, 3103, 1736, 203, 11149, 473, 1547, 4630, 1736, 203, 10261, 473, 1547, 3028, 1736, 203, 5193, 473, 1547, 6260, 1736, 203, 7140, 473, 1547, 7677, 1736, 203, 5292, 473, 1547, 8642, 1736, 203, 11035, 473, 277, 303, 1611, 1736, 203, 5482, 473, 525, 264, 1611, 1736, 203, 6675, 473, 525, 264, 3103, 1736, 203, 9349, 473, 417, 304, 1611, 1736, 203, 12416, 473, 417, 304, 3103, 1736, 203, 9975, 473, 417, 304, 4630, 1736, 203, 11180, 473, 417, 304, 3028, 1736, 203, 11290, 473, 417, 304, 6260, 1736, 203, 8778, 473, 417, 4361, 1611, 1736, 203, 10525, 473, 27596, 1611, 1736, 203, 10580, 473, 7831, 90, 1611, 1736, 203, 10689, 473, 22148, 3103, 1736, 203, 2733, 473, 22148, 4630, 1736, 203, 6625, 473, 437, 89, 1611, 1736, 203, 15168, 473, 437, 89, 3103, 1736, 203, 20481, 473, 437, 89, 4630, 1736, 203, 23494, 473, 437, 89, 3028, 1736, 203, 21869, 473, 328, 1100, 1611, 1736, 203, 21661, 473, 28540, 1611, 1736, 203, 22135, 473, 312, 1155, 1611, 1736, 203, 23054, 473, 7501, 1611, 1736, 203, 21770, 473, 312, 330, 1611, 1736, 203, 22267, 473, 312, 330, 3103, 1736, 203, 17506, 473, 312, 330, 4630, 1736, 203, 20227, 473, 312, 330, 3028, 1736, 203, 17666, 473, 312, 330, 6260, 1736, 203, 23379, 473, 312, 330, 7677, 1736, 203, 22214, 473, 1131, 1611, 1736, 203, 22062, 473, 1131, 3103, 1736, 203, 20562, 473, 1131, 4630, 1736, 203, 23454, 473, 312, 496, 1611, 1736, 203, 25652, 473, 6921, 1611, 1736, 203, 23635, 473, 6921, 3103, 1736, 203, 22343, 473, 394, 1611, 1736, 203, 26009, 473, 394, 3103, 1736, 203, 22266, 473, 394, 4630, 1736, 203, 12936, 473, 14376, 79, 1611, 1736, 203, 24734, 473, 15308, 71, 1611, 1736, 203, 18473, 473, 15308, 71, 3103, 1736, 203, 25452, 473, 15308, 71, 4630, 1736, 203, 14260, 473, 15308, 71, 3028, 1736, 203, 10392, 473, 15308, 71, 6260, 1736, 203, 24886, 473, 15308, 71, 7677, 1736, 203, 24417, 473, 15308, 71, 8642, 1736, 203, 29315, 473, 15308, 71, 6840, 1736, 203, 22152, 473, 15308, 71, 5908, 1736, 203, 28615, 473, 15308, 71, 2163, 1736, 203, 25213, 473, 15308, 71, 2499, 1736, 203, 26612, 473, 15308, 71, 2138, 1736, 203, 26959, 473, 15308, 71, 3437, 1736, 203, 24942, 473, 15308, 71, 3461, 1736, 203, 26645, 473, 15308, 71, 3600, 1736, 203, 24347, 473, 15308, 71, 2313, 1736, 203, 27092, 473, 15308, 71, 4033, 1736, 203, 3461, 21, 473, 15308, 71, 2643, 1736, 203, 29126, 473, 15308, 71, 3657, 1736, 203, 28643, 473, 320, 581, 1611, 1736, 203, 25339, 473, 14264, 1611, 1736, 203, 30379, 473, 7706, 1611, 1736, 203, 27879, 473, 7706, 3103, 1736, 203, 29488, 473, 7706, 4630, 1736, 203, 25005, 473, 7706, 3028, 1736, 203, 26262, 473, 7706, 6260, 1736, 203, 23014, 473, 7706, 7677, 1736, 203, 25807, 473, 7706, 8642, 1736, 203, 27655, 473, 7706, 6840, 1736, 203, 30305, 473, 7706, 5908, 1736, 203, 2 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 13957, 67, 2107, 3631, 268, 22, 18, 18366, 628, 777, 67, 10983, 487, 268, 21, 1233, 652, 310, 487, 268, 22, 603, 268, 21, 18, 298, 20910, 67, 350, 273, 268, 22, 18, 298, 20910, 67, 350, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 473, 5342, 3707, 473, 374, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 13957, 67, 2107, 13, 473, 2393, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 6403, 16, 943, 12, 88, 22, 18, 75, 13, 628, 777, 67, 10983, 487, 268, 21, 1233, 14486, 310, 487, 268, 22, 603, 268, 21, 18, 14872, 67, 350, 273, 268, 22, 18, 14872, 67, 350, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 4178, 473, 943, 12, 88, 22, 18, 75, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1728, 26, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 15501, 10742, 67, 723, 628, 15501, 10742, 67, 2352, 1625, 15501, 10742, 67, 723, 273, 272, 500, 471, 15501, 10742, 67, 723, 67, 3384, 480, 283, 3072, 7812, 2027, 15501, 10742, 67, 723, 628, 15501, 10742, 67, 2352, 1625, 15501, 10742, 67, 723, 67, 3384, 480, 272, 500, 2467, 578, 15501, 10742, 67, 723, 273, 400, 411, 2121, 67, 529, 34, 294, 15501, 10742, 67, 2352, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 15501, 10742, 67, 723, 473, 15501, 10742, 67, 723, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 400, 473, 283, 3072, 1736, 203, 21, 473, 272, 500, 473, 272, 500, 2467, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 15501, 10742, 67, 2352, 521, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 15501, 10742, 67, 723, 473, 15501, 10742, 67, 723, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 400, 473, 283, 3072, 1736, 203, 21, 473, 272, 500, 473, 272, 500, 2467, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 15501, 10742, 67, 723, 1736, 203, 64, 13138, 5345, 203, 20, 473, 400, 1736, 203, 21, 473, 272, 500, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 2107, 67, 792, 67, 31096, 16, 268, 22, 18, 81, 1202, 379, 67, 350, 628, 312, 1202, 379, 487, 268, 21, 1233, 3757, 487, 268, 22, 603, 268, 21, 18, 81, 1202, 379, 67, 350, 422, 268, 22, 18, 81, 1202, 379, 67, 350, 1041, 635, 508, 7999, 8000, 67, 350, 273, 890, 578, 818, 67, 792, 67, 16282, 405, 890, 411, 2121, 67, 529, 34, 294, 312, 1202, 379, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 312, 1202, 379, 67, 350, 473, 508, 473, 818, 67, 792, 67, 31096, 473, 1696, 67, 6874, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 886, 1561, 69, 312, 1202, 379, 473, 22684, 473, 16291, 1736, 203, 21, 473, 576, 473, 12872, 886, 1561, 69, 312, 1202, 379, 473, 6969, 473, 20869, 1736, 203, 22, 473, 890, 473, 525, 17098, 3565, 17772, 312, 1202, 379, 473, 6549, 473, 18965, 1736, 203, 23, 473, 1059, 473, 341, 330, 821, 15889, 323, 312, 1202, 379, 473, 8043, 473, 27853, 1736, 203, 24, 473, 1381, 473, 436, 1667, 9468, 312, 1202, 379, 473, 2872, 473, 4044, 28, 1736, 203, 25, 473, 1666, 473, 3166, 358, 2051, 312, 1202, 379, 473, 2872, 473, 4044, 28, 1736, 203, 26, 473, 2371, 473, 18291, 12797, 1015, 5792, 10043, 2001, 312, 1202, 379, 473, 4711, 473, 18965, 1736, 203, 27, 473, 1725, 473, 998, 11222, 6878, 312, 1202, 379, 473, 2593, 473, 4044, 29, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 3757, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 312, 1202, 379, 67, 350, 473, 8000, 67, 350, 473, 818, 67, 792, 67, 16282, 473, 2078, 67, 20693, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1381, 473, 4200, 473, 890, 3462, 18, 3461, 1736, 203, 21, 473, 576, 473, 1381, 473, 1059, 473, 28308, 18, 10689, 1736, 203, 22, 473, 1059, 473, 890, 473, 1728, 473, 890, 3462, 18, 6334, 1736, 203, 23, 473, 576, 473, 890, 473, 4248, 473, 4200, 29, 18, 10689, 1736, 203, 24, 473, 1059, 473, 1666, 473, 890, 473, 4200, 18, 6334, 1736, 203, 25, 473, 1725, 473, 1666, 473, 576, 473, 5342, 18, 10689, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 818, 67, 792, 67, 31096, 473, 312, 1202, 379, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6969, 473, 576, 1736, 203, 21, 473, 22684, 473, 404, 1736, 203, 22, 473, 8043, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 7944, 13, 628, 5927, 411, 2121, 67, 529, 34, 294, 5927, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 884, 20910, 67, 350, 473, 5927, 67, 350, 473, 284, 2645, 784, 67, 350, 473, 3739, 67, 350, 473, 6171, 473, 314, 473, 314, 8712, 473, 341, 473, 328, 473, 3739, 67, 8082, 473, 14310, 67, 8082, 473, 15266, 67, 8082, 473, 4945, 67, 8082, 473, 436, 473, 1223, 473, 366, 473, 1645, 473, 14543, 473, 15407, 473, 7129, 473, 1427, 473, 2393, 473, 2873, 473, 366, 17152, 473, 9033, 473, 767, 473, 6445, 473, 25120, 473, 14947, 473, 699, 83, 473, 5893, 473, 2359, 20125, 473, 10677, 473, 366, 354, 473, 7129, 69, 473, 1427, 69, 473, 425, 473, 9986, 473, 4253, 473, 508, 473, 779, 79, 473, 2403, 409, 1359, 473, 9107, 74, 473, 8228, 74, 473, 5927, 67, 350, 67, 2848, 473, 5927, 67, 350, 67, 80, 9795, 4728, 7950, 473, 5927, 67, 350, 67, 1349, 303, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 11212, 473, 225, 473, 7081, 21, 473, 324, 6582, 473, 225, 473, 890, 473, 8231, 473, 225, 473, 4200, 473, 1728, 473, 225, 473, 225, 473, 290, 473, 225, 473, 14052, 473, 5958, 9060, 473, 1059, 5558, 473, 16647, 473, 18091, 473, 890, 473, 4752, 473, 5342, 473, 26103, 473, 225, 473, 225, 473, 225, 473, 890, 4630, 473, 30116, 473, 890, 18, 2539, 473, 11201, 473, 404, 473, 890, 473, 1725, 6030, 473, 6580, 27, 473, 576, 473, 14856, 473, 10213, 473, 28298, 473, 225, 473, 374, 18, 10261, 473, 324, 669, 265, 1755, 12480, 899, 473, 24516, 679, 19209, 87, 277, 473, 225, 473, 1728, 23, 473, 24645, 473, 23904, 473, 7081, 21, 473, 7081, 21, 1736, 203, 21, 473, 6549, 11212, 473, 225, 473, 462, 21, 473, 6227, 69, 473, 225, 473, 576, 473, 9131, 473, 225, 473, 5342, 473, 2468, 473, 225, 473, 225, 473, 290, 473, 225, 473, 22072, 473, 404, 28644, 473, 3847, 23, 473, 18106, 473, 9035, 473, 1728, 473, 4752, 473, 11201, 473, 20963, 473, 225, 473, 225, 473, 225, 473, 4248, 21, 473, 28244, 473, 576, 18, 6669, 473, 6969, 473, 374, 473, 404, 473, 2371, 8643, 473, 5196, 28, 473, 1666, 473, 9131, 473, 11201, 473, 576, 2643, 473, 225, 473, 374, 18, 11149, 473, 462, 335, 28768, 9578, 12480, 899, 473, 7812, 1026, 17, 19067, 19209, 87, 473, 225, 473, 21856, 473, 21822, 473, 17198, 473, 462, 21, 473, 462, 21, 1736, 203, 22, 473, 6549, 11212, 473, 225, 473, 927, 21, 473, 6080, 71, 473, 225, 473, 1725, 473, 12899, 473, 225, 473, 1728, 473, 5342, 473, 225, 473, 225, 473, 290, 473, 225, 473, 4248, 29, 473, 404, 2643, 26, 473, 3847, 28, 473, 13191, 473, 8063, 473, 2371, 473, 10659, 473, 6969, 473, 6549, 473, 225, 473, 225, 473, 225, 473, 890, 9803, 473, 18973, 473, 1059, 18, 2499, 473, 10213, 473, 374, 473, 374, 473, 2371, 8898, 473, 890, 8749, 473, 5958, 473, 15935, 473, 13438, 473, 576, 4366, 473, 225, 473, 374, 18, 11861, 473, 1619, 941, 464, 30763, 12797, 87, 473, 20851, 6384, 19209, 87, 473, 225, 473, 19332, 473, 2130, 473, 1619, 473, 927, 21, 473, 927, 21, 1736, 203, 23, 473, 6549, 11212, 473, 225, 473, 7600, 21, 473, 417, 3839, 473, 225, 473, 2371, 473, 5342, 473, 225, 473, 2371, 473, 2593, 473, 225, 473, 225, 473, 290, 473, 225, 473, 5958, 27, 473, 2371, 8749, 473, 8043, 28, 473, 5342, 473, 1725, 473, 576, 473, 13159, 473, 2468, 473, 2872, 473, 225, 473, 225, 473, 225, 473, 4248, 23, 473, 16340, 473, 1381, 18, 4033, 473, 5342, 473, 404, 473, 374, 473, 6437, 27, 473, 576, 9498, 473, 1381, 473, 9035, 473, 8043, 473, 2872, 23, 473, 225, 473, 374, 18, 28, 473, 364, 88, 4031, 4644, 417, 3839, 285, 31604, 473, 366, 11580, 1917, 652, 473, 225, 473, 13822, 473, 1728, 27, 473, 417, 3839, 473, 7600, 21, 473, 7600, 21, 1736, 203, 24, 473, 6549, 11212, 473, 225, 473, 15308, 22, 473, 290, 6582, 473, 225, 473, 1381, 473, 13159, 473, 225, 473, 2872, 473, 8043, 473, 225, 473, 225, 473, 290, 473, 225, 473, 22072, 473, 5045, 3028, 473, 14393, 473, 21193, 473, 9035, 473, 404, 473, 13159, 473, 4711, 473, 17077, 473, 225, 473, 225, 473, 225, 473, 890, 3437, 473, 2593, 21, 473, 890, 18, 9060, 473, 3847, 473, 404, 473, 374, 473, 1725, 7235, 473, 890, 9036, 473, 2371, 473, 14856, 473, 11201, 473, 576, 5324, 473, 225, 473, 374, 18, 10261, 473, 394, 677, 778, 4318, 12588, 473, 7812, 19209, 87, 261, 4637, 601, 715, 82, 13, 473, 225, 473, 8566, 473, 24153, 473, 15308, 89, 473, 15308, 22, 473, 15308, 22, 1736, 203, 25, 473, 6549, 11212, 473, 225, 473, 1844, 21, 473, 293, 6582, 473, 225, 473, 404, 473, 9131, 473, 225, 473, 9035, 473, 2371, 473, 225, 473, 225, 473, 677, 473, 225, 473, 890, 6669, 473, 8038, 21, 473, 1059, 2163, 473, 22342, 473, 12732, 473, 2468, 473, 17077, 473, 10213, 473, 13850, 473, 225, 473, 225, 473, 225, 473, 576, 6028, 473, 5958, 27, 473, 1059, 18, 8778, 473, 12732, 473, 374, 473, 374, 473, 2371, 9462, 473, 3847, 29, 473, 890, 473, 15935, 473, 2872, 473, 5342, 24, 473, 225, 473, 374, 18, 5193, 473, 1844, 330, 361, 292, 844, 1155, 225, 421, 1810, 2102, 473, 525, 17098, 3565, 19382, 19209, 87, 473, 225, 473, 21822, 473, 24645, 473, 225, 421, 473, 1844, 21, 473, 1844, 21, 1736, 203, 26, 473, 6549, 11212, 473, 225, 473, 4519, 21, 473, 721, 79, 473, 225, 473, 2468, 473, 6969, 473, 225, 473, 1059, 473, 9035, 473, 225, 473, 225, 473, 290, 473, 225, 473, 576, 6938, 473, 1728, 5718, 473, 576, 5608, 473, 13291, 473, 6969, 473, 890, 473, 18012, 473, 5196, 473, 15935, 473, 225, 473, 225, 473, 225, 473, 9131, 27, 473, 23515, 473, 1059, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 7944, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 374, 18, 10525, 3600, 2643, 27, 23553, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 9395, 67, 2867, 16, 9395, 67, 723, 16, 9395, 67, 350, 16, 1308, 67, 16840, 67, 6395, 628, 12126, 67, 21214, 67, 2919, 27891, 1625, 9395, 67, 350, 1545, 1059, 578, 9395, 67, 2867, 480, 374, 6028, 506, 343, 19261, 297, 10911, 908, 7812, 2027, 9395, 67, 2867, 16, 9395, 67, 723, 16, 9395, 67, 350, 16, 1308, 67, 16840, 67, 6395, 628, 12126, 67, 21214, 67, 2919, 27891, 1625, 1308, 67, 16840, 67, 6395, 480, 272, 383, 3995, 1155, 471, 9395, 67, 529, 480, 9578, 328, 4465, 411, 2121, 67, 529, 34, 294, 12126, 67, 21214, 67, 2919, 27891, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 9395, 67, 350, 473, 9395, 67, 723, 473, 9395, 67, 529, 473, 9395, 67, 2867, 473, 1308, 67, 16840, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 18388, 6835, 280, 473, 3303, 91, 7825, 17, 74, 1683, 473, 1666, 3600, 20138, 10992, 312, 359, 87, 473, 19645, 464, 69, 1736, 203, 21, 473, 576, 473, 18388, 6835, 280, 473, 6108, 765, 18313, 88, 1041, 473, 1725, 9036, 356, 6012, 276, 992, 79, 279, 337, 18, 576, 5292, 473, 462, 15314, 1736, 203, 22, 473, 890, 473, 18388, 6835, 280, 473, 18551, 416, 347, 17, 9815, 2693, 473, 374, 6028, 506, 343, 19261, 297, 10911, 908, 473, 2836, 329, 279, 20727, 801, 481, 815, 1736, 203, 23, 473, 1059, 473, 18388, 6835, 280, 473, 741, 790, 93, 17, 4936, 17636, 473, 16848, 6669, 20138, 878, 5787, 1634, 11371, 2371, 9462, 473, 524, 21515, 1155, 1736, 203, 24, 473, 1381, 473, 17402, 473, 741, 790, 93, 471, 272, 7008, 473, 23421, 4449, 21, 721, 87, 275, 12124, 379, 5492, 11371, 2371, 5324, 473, 25995, 395, 267, 2779, 268, 25313, 1736, 203, 25, 473, 1666, 473, 17402, 473, 3821, 4485, 16, 312, 538, 71, 10175, 77, 471, 1654, 1224, 473, 31069, 6260, 884, 1403, 749, 366, 2392, 279, 337, 18, 2371, 8643, 473, 417, 481, 495, 270, 77, 1736, 203, 26, 473, 2371, 473, 18388, 6835, 280, 473, 732, 381, 1072, 17, 5328, 2136, 473, 374, 2313, 417, 1540, 715, 82, 4159, 11371, 576, 5718, 473, 425, 7797, 337, 1736, 203, 27, 473, 1725, 473, 18388, 6835, 280, 473, 314, 21896, 17, 90, 464, 264, 90, 499, 473, 1381, 3600, 3600, 1487, 11055, 11371, 1666, 10525, 473, 13750, 77, 556, 1155, 1736, 203, 28, 473, 2468, 473, 18388, 6835, 280, 473, 341, 291, 601, 93, 16, 358, 93, 471, 24817, 481, 2779, 473, 4752, 25, 302, 11, 301, 479, 320, 1125, 473, 277, 2450, 1736, 203, 29, 473, 1728, 473, 18388, 6835, 280, 473, 9578, 328, 4465, 473, 1666, 3672, 366, 301, 26244, 16226, 473, 16398, 344, 1736, 203, 2163, 473, 4648, 473, 18388, 6835, 280, 473, 417, 89, 1125, 291, 16, 800, 73, 76, 81, 471, 366, 278, 1787, 264, 473, 14605, 3707, 25, 14471, 81, 899, 8576, 279, 337, 18, 2371, 4366, 473, 4737, 287, 1155, 1736, 203, 2499, 473, 2593, 473, 18388, 6835, 280, 473, 302, 1200, 77, 16, 6445, 72, 4728, 471, 417, 18387, 473, 4752, 21609, 302, 285, 366, 6779, 1383, 11371, 1725, 2947, 473, 341, 281, 798, 7864, 30250, 69, 1736, 203, 2138, 473, 5958, 473, 17402, 473, 10004, 76, 4397, 17, 72, 11, 301, 479, 473, 8043, 2539, 272, 8838, 73, 586, 721, 361, 473, 272, 383, 3995, 1155, 1736, 203, 3437, 473, 5045, 473, 17402, 473, 5405, 15680, 7290, 473, 1725, 8749, 8697, 457, 1946, 473, 272, 1598, 13150, 24457, 1736, 203, 3461, 473, 4711, 473, 18388, 6835, 280, 473, 767, 89, 16, 225, 420, 12761, 471, 417, 310, 473, 1381, 29488, 767, 332, 324, 295, 75, 279, 337, 18, 1666, 4366, 473, 23563, 275, 1155, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 12126, 67, 21214, 67, 2919, 27891, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 9395, 67, 350, 473, 9395, 67, 723, 473, 9395, 67, 529, 473, 9395, 67, 2867, 473, 1308, 67, 16840, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 18388, 6835, 280, 473, 3303, 91, 7825, 17, 74, 1683, 473, 1666, 3600, 20138, 10992, 312, 359, 87, 473, 19645, 464, 69, 1736, 203, 21, 473, 576, 473, 18388, 6835, 280, 473, 6108, 765, 18313, 88, 1041, 473, 1725, 9036, 356, 6012, 276, 992, 79, 279, 337, 18, 576, 5292, 473, 462, 15314, 1736, 203, 22, 473, 890, 473, 18388, 6835, 280, 473, 18551, 416, 347, 17, 9815, 2693, 473, 374, 6028, 506, 343, 19261, 297, 10911, 908, 473, 2836, 329, 279, 20727, 801, 481, 815, 1736, 203, 23, 473, 1059, 473, 18388, 6835, 280, 473, 741, 790, 93, 17, 4936, 17636, 473, 16848, 6669, 20138, 878, 5787, 1634, 11371, 2371, 9462, 473, 524, 21515, 1155, 1736, 203, 24, 473, 1381, 473, 17402, 473, 741, 790, 93, 471, 272, 7008, 473, 23421, 4449, 21, 721, 87, 275, 12124, 379, 5492, 11371, 2371, 5324, 473, 25995, 395, 267, 2779, 268, 25313, 1736, 203, 25, 473, 1666, 473, 17402, 473, 3821, 4485, 16, 312, 538, 71, 10175, 77, 471, 1654, 1224, 473, 31069, 6260, 884, 1403, 749, 366, 2392, 279, 337, 18, 2371, 8643, 473, 417, 481, 495, 270, 77, 1736, 203, 26, 473, 2371, 473, 18388, 6835, 280, 473, 732, 381, 1072, 17, 5328, 2136, 473, 374, 2313, 417, 1540, 715, 82, 4159, 11371, 576, 5718, 473, 425, 7797, 337, 1736, 203, 27, 473, 1725, 473, 18388, 6835, 280, 473, 314, 21896, 17, 90, 464, 264, 90, 499, 473, 1381, 3600, 3600, 1487, 11055, 11371, 1666, 10525, 473, 13750, 77, 556, 1155, 1736, 203, 28, 473, 2468, 473, 18388, 6835, 280, 473, 341, 291, 601, 93, 16, 358, 93, 471, 24817, 481, 2779, 473, 4752, 25, 302, 11, 301, 479, 320, 1125, 473, 277, 2450, 1736, 203, 29, 473, 1728, 473, 18388, 6835, 280, 473, 9578, 328, 4465, 473, 1666, 3672, 366, 301, 26244, 16226, 473, 16398, 344, 1736, 203, 2163, 473, 4648, 473, 18388, 6835, 280, 473, 417, 89, 1125, 291, 16, 800, 73, 76, 81, 471, 366, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 9395, 67, 2867, 473, 9395, 67, 723, 473, 9395, 67, 350, 473, 1308, 67, 16840, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 374, 2313, 417, 1540, 715, 82, 4159, 11371, 576, 5718, 473, 18388, 6835, 280, 473, 2371, 473, 425, 7797, 337, 1736, 203, 21, 473, 374, 6028, 506, 343, 19261, 297, 10911, 908, 473, 18388, 6835, 280, 473, 890, 473, 2836, 329, 279, 20727, 801, 481, 815, 1736, 203, 22, 473, 8043, 2539, 272, 8838, 73, 586, 721, 361, 473, 17402, 473, 5958, 473, 272, 383, 3995, 1155, 1736, 203, 23, 473, 1381, 29488, 767, 332, 324, 295, 75, 279, 337, 18, 1666, 4366, 473, 18388, 6835, 280, 473, 4711, 473, 23563, 275, 1155, 1736, 203, 24, 473, 1381, 3600, 3600, 1487, 11055, 11371, 1666, 10525, 473, 18388, 6835, 280, 473, 1725, 473, 13750, 77, 556, 1155, 1736, 203, 25, 473, 4752, 25, 302, 11, 301, 479, 320, 1125, 473, 18388, 6835, 280, 473, 2468, 473, 277, 2450, 1736, 203, 26, 473, 4752, 21609, 302, 285, 366, 6779, 1383, 11371, 1725, 2947, 473, 18388, 6835, 280, 473, 2593, 473, 341, 281, 798, 7864, 30250, 69, 1736, 203, 27, 473, 1666, 3600, 20138, 10992, 312, 359, 87, 473, 18388, 6835, 280, 473, 404, 473, 19645, 464, 69, 1736, 203, 28, 473, 1666, 3672, 366, 301, 26244, 16226, 473, 18388, 6835, 280, 473, 1728, 473, 16398, 344, 1736, 203, 29, 473, 1725, 8749, 8697, 457, 1946, 473, 17402, 473, 5045, 473, 272, 1598, 13150, 24457, 1736, 203, 2163, 473, 23421, 4449, 21, 721, 87, 275, 12124, 379, 5492, 11371, 2371, 5324, 473, 17402, 473, 1381, 473, 25995, 395, 267, 2779, 268, 25313, 1736, 203, 2499, 473, 1725, 9036, 356, 6012, 276, 992, 79, 279, 337, 18, 576, 5292, 473, 18388, 6835, 280, 473, 576, 473, 462, 15314, 1736, 203, 2138, 473, 31069, 6260, 884, 1403, 749, 366, 2392, 279, 337, 18, 2371, 8643, 473, 17402, 473, 1666, 473, 417, 481, 495, 270, 77, 1736, 203, 3437, 473, 16848, 6669, 20138, 878, 5787, 1634, 11371, 2371, 9462, 473, 18388, 6835, 280, 473, 1059, 473, 524, 21515, 1155, 1736, 203, 3461, 473, 14605, 3707, 25, 14471, 81, 899, 8576, 279, 337, 18, 2371, 4366, 473, 18388, 6835, 280, 473, 4648, 473, 4737, 287, 1155, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 14872, 67, 350, 16, 268, 22, 18, 3562, 628, 7291, 487, 268, 21, 1233, 18551, 1371, 487, 268, 22, 603, 268, 21, 18, 28204, 1371, 67, 350, 273, 268, 22, 18, 28204, 1371, 67, 350, 411, 2121, 67, 529, 34, 294, 7291, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 7291, 473, 5927, 473, 9388, 473, 1754, 473, 18551, 1371, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1658, 10370, 93, 506, 363, 31698, 473, 268, 5406, 324, 528, 4461, 330, 14961, 87, 473, 4711, 473, 3025, 5681, 473, 404, 1736, 203, 21, 473, 576, 473, 31840, 303, 225, 132, 101, 131, 228, 3070, 834, 94, 473, 293, 305, 3428, 70, 295, 17680, 293, 481, 815, 473, 5045, 473, 12126, 1026, 4728, 473, 576, 1736, 203, 22, 473, 890, 473, 225, 3036, 366, 538, 6592, 473, 417, 634, 345, 12797, 721, 93, 1031, 473, 2872, 473, 1122, 1026, 4728, 473, 404, 1736, 203, 23, 473, 1059, 473, 324, 566, 304, 312, 996, 94, 473, 324, 2390, 381, 479, 578, 6242, 281, 473, 8043, 473, 2002, 17, 76, 5860, 14486, 264, 473, 404, 1736, 203, 24, 473, 1381, 473, 324, 1722, 26948, 93, 473, 272, 304, 284, 2450, 71, 291, 2894, 16221, 4388, 473, 4711, 473, 1044, 264, 473, 576, 1736, 203, 25, 473, 1666, 473, 417, 1362, 2488, 91, 7825, 473, 1183, 280, 350, 69, 312, 13007, 2679, 473, 5045, 473, 1044, 264, 473, 576, 1736, 203, 26, 473, 2371, 473, 677, 265, 765, 524, 265, 2048, 473, 276, 9523, 267, 18757, 77, 1755, 87, 473, 4711, 473, 1122, 1026, 4728, 473, 404, 1736, 203, 27, 473, 1725, 473, 314, 517, 265, 506, 363, 31698, 473, 462, 335, 28768, 9578, 1427, 92, 473, 2872, 473, 3025, 5681, 473, 404, 1736, 203, 28, 473, 2468, 473, 279, 297, 265, 276, 492, 380, 473, 341, 961, 310, 1917, 290, 367, 1031, 473, 2872, 473, 2145, 17, 76, 5860, 14486, 264, 473, 404, 1736, 203, 29, 473, 1728, 473, 525, 2753, 4812, 303, 473, 26025, 641, 265, 3364, 6973, 473, 4711, 473, 1044, 264, 473, 404, 1736, 203, 2163, 473, 4648, 473, 2537, 267, 3029, 83, 581, 473, 16573, 345, 436, 539, 414, 473, 4711, 473, 1122, 1026, 4728, 473, 404, 1736, 203, 2499, 473, 2593, 473, 525, 351, 398, 17314, 473, 320, 581, 15733, 225, 421, 1810, 2102, 473, 4711, 473, 2205, 1026, 4728, 473, 576, 1736, 203, 2138, 473, 5958, 473, 324, 266, 748, 17662, 623, 473, 384, 18, 437, 89, 291, 5270, 267, 1031, 473, 8043, 473, 12126, 1026, 4728, 473, 1381, 1736, 203, 3437, 473, 5045, 473, 279, 297, 265, 366, 20642, 473, 1131, 23712, 25441, 2339, 2679, 473, 5045, 473, 596, 1518, 264, 473, 1666, 1736, 203, 3461, 473, 4711, 473, 13750, 304, 312, 485, 267, 473, 22148, 7603, 19880, 302, 369, 6215, 473, 4711, 473, 2145, 17, 76, 5860, 14486, 264, 473, 404, 1736, 203, 3600, 473, 2872, 473, 324, 266, 748, 328, 2219, 566, 73, 473, 312, 330, 91, 8377, 79, 1340, 324, 266, 10282, 473, 4711, 473, 1044, 264, 473, 404, 1736, 203, 2313, 473, 8043, 473, 302, 842, 350, 1825, 4063, 473, 8934, 265, 869, 8024, 525, 8271, 473, 8043, 473, 1122, 1026, 4728, 473, 404, 1736, 203, 4033, 473, 6549, 473, 277, 4491, 302, 842, 291, 473, 394, 677, 778, 312, 2413, 473, 4711, 473, 1122, 1026, 4728, 473, 1059, 1736, 203, 2643, 473, 5342, 473, 471, 16052, 276, 961, 1224, 473, 462, 335, 28768, 276, 373, 87, 473, 2872, 473, 2145, 17, 76, 5860, 14486, 264, 473, 1059, 1736, 203, 3657, 473, 4200, 473, 525, 17636, 1466, 473, 695, 4558, 298, 21282, 267, 414, 473, 4711, 473, 2145, 17, 76, 5860, 14486, 264, 473, 1059, 1736, 203, 3462, 473, 9035, 473, 16826, 304, 293, 21938, 473, 3023, 303, 305, 268, 360, 414, 473, 8043, 473, 2145, 17, 76, 5860, 14486, 264, 473, 890, 1736, 203, 5340, 473, 11201, 473, 283, 3392, 366, 842, 773, 473, 394, 677, 778, 312, 2413, 473, 6549, 473, 3025, 5681, 473, 1381, 1736, 203, 3787, 473, 10213, 473, 777, 304, 7732, 79, 701, 69, 473, 272, 304, 4314, 1332, 83, 4627, 455, 473, 4711, 473, 1122, 1026, 4728, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 18551, 1371, 473, 2117, 473, 25821, 473, 284, 12002, 473, 10716, 1735, 473, 800, 1900, 67, 280, 67, 75, 481, 3251, 473, 2548, 67, 280, 67, 3752, 310, 473, 3286, 67, 2328, 329, 67, 31942, 608, 473, 18551, 1371, 67, 9724, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 384, 279, 383, 1900, 8384, 11, 645, 298, 908, 473, 312, 330, 816, 87, 1634, 473, 2593, 713, 18, 20, 473, 6549, 7235, 18, 20, 473, 276, 421, 1415, 473, 800, 1900, 473, 2548, 473, 5342, 5540, 18, 20, 473, 721, 93, 287, 8024, 471, 20465, 1736, 203, 21, 473, 576, 473, 324, 1313, 264, 645, 298, 908, 473, 29404, 2387, 1637, 473, 10213, 713, 18, 20, 473, 6549, 9349, 18, 20, 473, 392, 7043, 335, 304, 473, 800, 1900, 1338, 358, 26160, 2468, 1825, 17, 329, 3286, 1728, 358, 2593, 473, 2548, 473, 11094, 310, 473, 5342, 5540, 18, 20, 473, 1755, 473, 8024, 1736, 203, 22, 473, 890, 473, 276, 2450, 4637, 601, 18551, 1371, 473, 3952, 298, 90, 344, 366, 737, 473, 4336, 18, 20, 473, 5342, 2643, 18, 20, 473, 392, 7043, 335, 304, 473, 800, 1900, 473, 2548, 473, 11094, 310, 473, 5342, 5540, 18, 20, 473, 1755, 16, 9578, 473, 8024, 1736, 203, 23, 473, 1059, 473, 417, 2135, 92, 6473, 18551, 1371, 473, 341, 9795, 303, 932, 69, 473, 6549, 3361, 18, 20, 473, 5342, 3247, 18, 20, 473, 2836, 310, 462, 295, 343, 473, 800, 1900, 473, 2548, 473, 11094, 310, 473, 5342, 5540, 18, 20, 473, 7721, 473, 8024, 1736, 203, 24, 473, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 2117, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 312, 330, 816, 87, 1634, 1736, 203, 21, 473, 576, 473, 29404, 2387, 1637, 1736, 203, 22, 473, 890, 473, 312, 330, 816, 87, 1634, 1736, 203, 23, 473, 1059, 473, 312, 330, 816, 87, 1634, 1736, 203, 24, 473, 1381, 473, 29404, 2387, 1637, 1736, 203, 25, 473, 1666, 473, 29404, 2387, 1637, 1736, 203, 26, 473, 2371, 473, 312, 330, 816, 87, 1634, 1736, 203, 27, 473, 1725, 473, 312, 330, 816, 87, 1634, 1736, 203, 28, 473, 2468, 473, 312, 330, 816, 87, 1634, 1736, 203, 29, 473, 1728, 473, 312, 330, 816, 87, 1634, 1736, 203, 2163, 473, 4648, 473, 312, 330, 816, 87, 1634, 1736, 203, 2499, 473, 2593, 473, 29404, 2387, 1637, 1736, 203, 2138, 473, 5958, 473, 2142, 6592, 366, 737, 1736, 203, 3437, 473, 5045, 473, 341, 21851, 30678, 1736, 203, 3461, 473, 4711, 473, 312, 330, 816, 87, 1634, 1736, 203, 3600, 473, 2872, 473, 312, 330, 816, 87, 1634, 1736, 203, 2313, 473, 8043, 473, 312, 330, 816, 87, 1634, 1736, 203, 4033, 473, 6549, 473, 341, 9795, 303, 932, 69, 1736, 203, 2643, 473, 5342, 473, 341, 9795, 303, 932, 69, 1736, 203, 3657, 473, 4200, 473, 341, 9795, 303, 932, 69, 1736, 203, 3462, 473, 9035, 473, 3952, 298, 90, 344, 366, 737, 1736, 203, 5340, 473, 11201, 473, 2142, 6592, 366, 737, 1736, 203, 3787, 473, 10213, 473, 2142, 6592, 366, 737, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 88, 21, 18, 6403, 3631, 268, 22, 18, 313, 2444, 628, 777, 67, 10983, 487, 268, 21, 1233, 27464, 1787, 487, 268, 22, 603, 268, 21, 18, 6874, 273, 268, 22, 18, 6874, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 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 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 6403, 13, 473, 14543, 1736, 203, 64, 13138, 5345, 203, 20, 473, 18091, 5292, 28, 3672, 473, 374, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]