benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 4688, 5175, 25771, 2214, 19, 10, 7212, 20889, 6, 4246, 21072, 6, 81, 9756, 8, 30587, 29589, 6, 38668, 3038, 6, 8, 38668, 18569, 4, 8504, 11, 5, 762, 9, 230, 10431, 3694, 6, 24, 7630, 6568, 10, 15352, 30054, 6, 980, 219, 6, 8, 19448, 5466, 4, 20, 15229, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 2351, 41, 24111, 8, 3366, 219, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 64906, 51313, 57541, 51313, 65445, 51313, 53100, 51313, 52332, 51313, 51656, 51313, 51355, 64163, 51355, 56100, 51355, 51036, 50799, 59060, 51313, 60948, 51313, 65445, 51313, 53100, 51313, 52033, 51313, 52255, 51313, 51781, 64163, 51781, 56100, 51781, 51036, 50799, 64906, 51313, 60516, 51313, 58004, 51313, 51881, 51313, 52332, 51313, 52187, 51313, 51195, 55728, 51195, 52115, 51729, 50800, 51195, 53471, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 54253, 51729, 50800, 51195, 51736, 51729, 50800, 51195, 50918, 50435, 51729, 50800, 51195, 56039, 51195, 72423, 51729, 52567, 51729, 50800, 75493, 50799, 59060, 51313, 60948, 51313, 65445, 51313, 53100, 51313, 52033, 51313, 52255, 51313, 51729, 50800, 75493, 51350, 64163, 75493, 51350, 56100, 51350, 51036, 51382, 52542, 52809, 50798, 57506, 53521, 50874, 50799, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 55456, 58071, 62553, 58792, 54419, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 50843, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 50843, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 64906, 51036, 60516, 51036, 58004, 51036, 51881, 51036, 52332, 51036, 52187, 51036, 51195, 51428, 52001, 51475, 52542, 53504, 51195, 52115, 51729, 50800, 51195, 51428, 52001, 52296, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 51626, 52154, 52542, 52765, 51729, 50800, 51195, 51736, 51729, 50800, 51195, 68754, 51475, 52262, 51729, 50800, 51195, 54805, 52057, 51195, 54805, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 51729, 51730, 52001, 51475, 52567, 51729, 50800, 75493, 50799, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51729, 50800, 75493, 51350, 55956, 52001, 51475, 52542, 53504, 75493, 51350, 56100, 51350, 55956, 52001, 61408, 52154, 76468, 50843, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 50798, 52001, 55817, 72014, 50807, 57832, 50807, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 55456, 58071, 62553, 58792, 54419, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 53178, 50795, 57832, 52732, 51475, 52262, 50798, 52057, 55242, 51428, 52001, 51475, 52542, 52831, 53178, 50795, 57832, 51918, 55242, 51428, 52001, 51757, 60829, 50795, 53178, 50807, 57832, 52496, 52154, 52542, 51754, 55242, 55568, 52001, 55817, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 55242, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 52831, 53185, 50795, 55050, 51918, 61043, 52221, 52001, 51757, 53185, 50807, 55050, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 54306, 50807, 65168, 50807, 64906, 51036, 60516, 51036, 58004, 51036, 51881, 51036, 52332, 51036, 52187, 51036, 51195, 51428, 52001, 51475, 52542, 53504, 51195, 52115, 51729, 50800, 51195, 51428, 52001, 52296, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 51626, 52154, 52542, 52765, 51729, 50800, 51195, 51736, 54306, 50795, 65168, 50795, 51729, 50800, 51195, 68754, 51475, 52262, 51729, 50800, 51195, 54805, 52057, 57607, 50795, 51195, 54805, 52001, 51475, 52542, 52831, 54306, 50795, 65168, 51918, 57607, 51428, 52001, 51757, 55242, 50795, 54306, 50807, 65168, 52496, 52154, 52542, 51754, 57607, 50991, 51729, 51730, 52001, 51475, 52567, 51729, 50800, 75493, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51729, 50800, 75493, 51350, 55956, 52001, 51475, 52542, 53504, 75493, 51350, 56100, 51350, 55956, 52001, 61408, 52154, 76468, 57607, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 50798, 52057, 50843, 51475, 52542, 51730, 53609, 53185, 50795, 55050, 51918, 60829, 52221, 52001, 51757, 52429, 50807, 64121, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 72014, 50807, 57832, 50807, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 51475, 52542, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 53178, 50795, 57832, 52732, 51475, 52262, 50798, 52057, 55242, 51428, 52001, 51475, 52542, 52831, 53178, 50795, 57832, 51918, 55242, 51428, 52001, 51757, 60829, 50795, 53178, 50807, 57832, 52496, 52154, 52542, 51754, 55242, 55568, 52001, 55817, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 55242, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 52831, 53185, 50795, 55050, 51918, 61043, 52221, 52001, 51757, 53185, 50807, 55050, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 54306, 50807, 65168, 50807, 64906, 51036, 60516, 51036, 58004, 51036, 51881, 51036, 52332, 51036, 52187, 51036, 51195, 51428, 52001, 51475, 52542, 53504, 51195, 52115, 51729, 50800, 51195, 51428, 52001, 52296, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 51626, 52154, 52542, 52765, 51729, 50800, 51195, 51736, 54306, 50795, 65168, 50795, 51729, 50800, 51195, 68754, 51475, 52262, 51729, 50800, 51195, 54805, 52057, 57607, 50795, 51195, 54805, 52001, 51475, 52542, 52831, 54306, 50795, 65168, 51918, 57607, 51428, 52001, 51757, 55242, 50795, 54306, 50807, 65168, 52496, 52154, 52542, 51754, 57607, 50991, 51729, 51730, 52001, 51475, 52567, 51729, 50800, 75493, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51729, 50800, 75493, 51350, 55956, 52001, 51475, 52542, 53504, 75493, 51350, 56100, 51350, 55956, 52001, 61408, 52154, 76468, 57607, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 52831, 53185, 50795, 55050, 51918, 60829, 52221, 52001, 51757, 52429, 50807, 64121, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 72014, 50807, 57832, 50807, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 55456, 58071, 62553, 58792, 54419, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 53178, 50795, 57832, 52732, 51475, 52262, 50798, 67978, 53614, 55242, 51428, 52001, 51475, 52542, 73820, 58709, 53178, 50795, 57832, 51918, 55242, 51428, 52001, 73820, 54004, 60829, 50795, 53178, 50807, 57832, 52496, 52154, 52542, 73820, 54194, 55242, 55568, 52001, 55817, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 55242, 50807, 53185 ]
[ 0, 250, 8787, 5175, 15229, 11, 272, 3694, 6, 17407, 30, 10, 16331, 13931, 9, 211, 119, 6, 1918, 6, 272, 119, 6, 8, 83, 40286, 4, 590, 10, 12701, 4450, 20889, 8, 10, 231, 73, 306, 86, 6543, 6, 24, 18, 10, 28252, 9, 2933, 6, 15352, 30054, 6, 8, 9066, 4785, 4, 20, 228, 438, 4781, 2088, 6757, 8, 38668, 20535, 483, 5, 1427, 6, 2800, 30, 5, 41063, 15796, 24456, 9, 21072, 6, 3459, 9590, 6, 8, 38668, 11212, 6, 2351, 41, 24111, 6, 980, 12, 3341, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54838, 50637, 55661, 55661, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50816, 50805, 51769, 52410, 54612, 54612, 50964, 51654, 52483, 50856, 52605, 61400, 61400, 50964, 53769, 52446, 50856, 55480, 54612, 54612, 50964, 52596, 55661, 55661, 51096, 52504, 57038, 55069, 54612, 54612, 61415, 50462, 50856, 50805, 50468, 61400, 61400, 50964, 53769, 50805, 50474, 50798, 57038, 50889, 50480, 54612, 54612, 61415, 54838, 55661, 55661, 51096, 51654, 54367, 52864, 54612, 54612, 50964, 58689, 51694, 57038, 55112, 61400, 61400, 50964, 53912, 50856, 52815, 54612, 54612, 50964, 52504, 52596, 55661, 55661, 51096, 54367, 52961, 54612, 54612, 50964, 58689, 50462, 50798, 57038, 50889, 50468, 61400, 61400, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 54612, 50964, 51654, 50808, 50483, 58471, 54838, 66046, 51796, 50805, 64724, 52024, 54064, 52024, 53496, 52024, 51821, 52024, 50816, 54367, 52864, 55661, 55661, 51096, 51654, 53184, 58471, 52389, 54367, 52605, 73445, 73445, 51096, 55107, 52446, 50856, 52815, 55661, 55661, 51096, 68838, 66046, 51796, 51654, 57038, 55069, 55661, 55661, 65456, 50462, 50816, 64492, 50468, 73445, 73445, 51096, 55107, 50805, 50474, 50798, 64492, 50480, 55661, 55661, 51096, 58689, 54838, 66046, 51796, 51654, 54367, 52864, 55661, 55661, 51096, 58689, 51694, 57038, 55112, 73445, 73445, 51096, 53912, 50856, 52815, 55661, 55661, 51096, 68838, 66046, 51796, 51654, 54367, 52961, 55661, 55661, 51096, 58689, 50462, 50816, 64492, 50468, 73445, 73445, 51096, 53769, 50805, 50474, 50856, 50805, 50480, 55661, 55661, 51096, 51654, 50808, 50483, 58471, 54838, 55661, 55661, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50816, 70607, 54612, 54612, 50964, 51654, 52483, 50856, 52605, 61400, 61400, 50964, 53769, 52446, 50856, 55480, 54612, 54612, 50964, 52596, 55661, 55661, 51096, 52504, 57038, 55069, 54612, 54612, 61415, 50462, 50856, 50805, 50468, 61400, 61400, 50964, 53769, 50805, 50474, 50798, 57038, 50889, 50480, 54612, 54612, 61415, 54838, 55661, 55661, 51096, 51654, 54367, 52864, 54612, 54612, 50964, 58689, 51694, 57038, 55112, 61400, 61400, 50964, 53912, 50856, 52815, 54612, 54612, 50964, 52504, 52596, 55661, 55661, 51096, 54367, 52961, 54612, 54612, 50964, 58689, 50462, 50798, 57038, 50889, 50468, 61400, 61400, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 54612, 50964, 51654, 50808, 50483, 58471, 54838, 66046, 51796, 50805, 64724, 52024, 54064, 52024, 53496, 52024, 51821, 52024, 50816, 54367, 52864, 55661, 55661, 51096, 51654, 52483, 50856, 52605, 73445, 73445, 51096, 53769, 52446, 50856, 52815, 55661, 55661, 51096, 52504, 52596, 66046, 51796, 51654, 54367, 52961, 55661, 55661, 51096, 58689, 50462, 50798, 57038, 50889, 50468, 73445, 73445, 51096, 50889, 50474, 50816, 64492, 50480, 55661, 55661, 51096, 58689, 54838, 66046, 51796, 51654, 54367, 52864, 55661, 55661, 51096, 58689, 51694, 54367, 52605, 73445, 73445, 51096, 53769, 52446, 50856, 52815, 55661, 55661, 51096, 51654, 76833, 66046, 78388, 55152, 52961, 55661, 55661, 51096, 58689, 50462, 50856, 50805, 50468, 73445, 73445, 51096, 53769, 50840, 50470, 73606, 50472, 73606, 50474, 50816, 60105, 50889, 50480, 55661, 55661, 65456, 54838, 55661, 54730, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50798, 71147, 54226, 54612, 55204, 50964, 52483, 50856, 52605, 61400, 51634, 50889, 50964, 53769, 52446, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 52504, 54367, 52961, 54612, 55204, 50964, 72116, 50462, 50798, 64492, 50465, 55391, 50468, 61400, 61973, 50964, 53769, 50805, 50474, 50856, 50805, 50480, 54612, 55204, 50964, 58689, 54838, 55661, 54730, 51096, 51654, 57038, 55385, 54612, 55204, 61415, 51694, 54367, 58983, 51348, 52559, 61400, 61973, 50964, 53769, 52446, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 52504, 54367, 52961, 54612, 55204, 50964, 58689, 50462, 50798, 57038, 50889, 50465, 55391, 50468, 61400, 61973, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 55204, 50964, 58689, 54838, 57063, 55357, 51796, 50805, 64724, 52024, 54064, 52024, 53496, 52024, 51821, 52024, 50816, 57038, 55385, 55661, 54730, 51096, 52483, 50856, 58983, 51511, 52559, 73445, 68767, 51096, 53769, 52446, 50816, 57038, 55480, 55661, 54730, 51096, 52596, 57063, 55357, 78388, 54367, 52961, 55661, 54730, 51096, 72116, 50462, 50798, 64492, 50465, 56712, 50468, 73445, 68767, 51096, 55107, 50805, 50474, 50856, 50805, 50480, 55661, 54730, 51096, 58689, 54838, 57063, 55357, 51796, 78386, 70869, 55661, 54730, 51096, 51654, 77338, 69035, 53847, 51511, 71900, 73445, 68767, 51096, 53769, 72404, 50816, 57038, 55480, 55661, 54730, 51096, 52596, 57063, 55357, 51796, 51654, 51116, 50856, 66313, 55661, 54730, 51096, 58565, 58471, 50462, 50816, 64492, 50465, 56712, 50468, 73445, 68767, 51096, 53769, 50805, 50474, 50856, 50805, 50480, 55661, 54730, 51096, 58689, 54838, 55661, 54730, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50816, 54367, 52864, 54612, 55204, 50964, 58689, 52389, 57038, 55112, 61400, 51634, 50889, 50964, 53912, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 52504, 54367, 52961, 54612, 55204, 50964, 58689, 50462, 50798, 57038, 50889, 50465, 55391, 50468, 61400, 61973, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 55204, 50964, 58689, 54838, 55661, 54730, 51096, 52504, 64317, 55385, 54612, 55204, 50964, 52483, 50856, 58983, 51348, 52559, 61400, 61973, 50964, 55107, 52446, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 51654, 57038, 55069, 54612, 55204, 61415, 50462, 50856, 50889, 50465, 55391, 50468, 61400, 61973, 50964, 50889, 50474, 50816, 64492, 50480, 54612, 55204, 50964, 58689, 54838, 57063, 55357, 51796, 50805, 64724, 53090, 54064, 53090, 53496, 53090, 51821, 53090, 50798, 64317, 55385, 55661, 54730, 51096, 52483, 50856, 58983, 51511, 52559, 73445, 68767, 51096, 53769, 52446, 50816, 57038, 55480, 55661, 54730, 51096, 52596, 57063, 55357, 51796, 51654, 54367, 52961, 55661, 54730, 51096, 72116, 50462, 50816, 64492, 50465, 56712, 50468, 73445, 68767, 51096, 53769, 50805, 50474, 50856, 50805, 50480, 55661, 54730, 51096, 58689, 54838, 51063, 51141, 51075, 51141, 51075, 51141, 50953, 73321, 64317, 50889, 52389, 52605, 51155, 51141, 51046, 51141, 51046, 51141, 50927, 57394, 60105, 50889, 52129, 52596, 51296, 51141, 51278, 51141, 51278, 51141, 51069, 57394, 60105, 50889, 50462, 50798, 50805, 50468, 55241, 51141, 51885, 51141, 51885, 51141, 53344, 57394, 60105, 50889, 50480, 50798, 50805, 54838, 72218, 60993, 60993, 51069, 53769, 71147, 54107, 65087, 68767, 68767, 51105, 55107, 50889, 52356, 53912, 51063, 51141, 51063, 51141, 50953, 51141, 55464, 51077, 54064, 51077, 52016, 58673, 64317, 55082, 50852, 52961, 79793, 50953, 62541, 50845, 50462, 76289, 51186, 50805, 55464, 50889, 54064, 50889, 52016, 55107, 56151, 50468, 79793, 50953, 62541, 50845, 50474, 51155, 51141, 51155, 51141, 50927, 51141, 55825, 51077, 55500, 51077, 52016, 58673, 56151, 50480, 50852, 50845, 54838, 50852, 52864, 53573, 53573, 50927, 62541, 53172, 79793, 60908, 55825, 50889, 55500, 50889, 52016, 55107, 52472, 52605, 53573, 53573, 50927, 62541, 53264, 51386, 51141, 51386, 51141, 50964, 51141, 55464, 51077 ]
[ 0, 4688, 17627, 17274, 5175, 2214, 4246, 10, 3152, 6757, 483, 6, 21979, 8, 30587, 29589, 6, 38668, 18569, 6, 8, 21072, 6, 2351, 10, 19448, 8, 11653, 5466, 4, 8504, 11, 5, 762, 9, 272, 10431, 3694, 19, 10, 27841, 139, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 5705, 25614, 2838, 5, 2060, 119, 8, 274, 10431, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50643, 53028, 51160, 51361, 71694, 50812, 51453, 50812, 52591, 51957, 51732, 65798, 52250, 51885, 52250, 50798, 50860, 51769, 50948, 50796, 51694, 56789, 50816, 53860, 50816, 53894, 50816, 52597, 50816, 57365, 55521, 62620, 55862, 51033, 51224, 50890, 50799, 55783, 69551, 51957, 50976, 51885, 50873, 51548, 50925, 54173, 51653, 51846, 51388, 51317, 50923, 50998, 51021, 51396, 51388, 51017, 61740, 56562, 53451, 65492, 55862, 56810, 51270, 52597, 51270, 50917, 50449, 55521, 50940, 50455, 55862, 62620, 51383, 78123, 55783, 51033, 52591, 51957, 50975, 51885, 50937, 51548, 50977, 54173, 51460, 51846, 50923, 51317, 51030, 50998, 51021, 51396, 71840, 79396, 56562, 61515, 55862, 51388, 50438, 51270, 54465, 51270, 50917, 50448, 55521, 50936, 50454, 55862, 57973, 51383, 62923, 55783, 50894, 53069, 54173, 72207, 51957, 51066, 51885, 50977, 51548, 50925, 51846, 50911, 51317, 50921, 50998, 51030, 51396, 67783, 78341, 60909, 62175, 51045, 50425, 54173, 50894, 50431, 54173, 51354, 50438, 51456, 78629, 52597, 51957, 50975, 51885, 50942, 51548, 50833, 55783, 51653, 51846, 50923, 51317, 51033, 50998, 51021, 51396, 71840, 51033, 50868, 72313, 51045, 51270, 56974, 55862, 50806, 51383, 50812, 50799, 55521, 51379, 50420, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 50844, 50428, 55521, 56087, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 50874, 55545, 51059, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 50844, 51180, 59548, 51138, 52190, 57322, 53091, 50950, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 79795, 51602, 50860, 53091, 50882, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 54293, 50823, 53091, 50894, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 54448, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 50924, 50421, 53091, 57078, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 70134, 55783, 56896, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 62886, 55783, 50950, 55545, 51059, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 78655, 55783, 50950, 51180, 59548, 51138, 52190, 50948, 50446, 55783, 51454, 50450, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 79795, 51602, 51012, 55521, 50911, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 50799, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 73821, 53091, 51427, 50420, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 50844, 50428, 53091, 60247, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 50874, 55545, 51059, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 50844, 51180, 59548, 51138, 52190, 57322, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 79795, 51602, 50936, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 54293, 50911, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 73821, 55521, 58609, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 50924, 50422, 55521, 54631, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 50844, 50428, 55521, 51379, 50432, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 50874, 55545, 51029, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 62090, 55521, 50911, 51180, 59548, 51138, 52190, 50948, 50445, 55837, 60919, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 50451, 53956, 51012, 79795, 51602, 50860, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 50799, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 73821, 53956, 51483, 50420, 51957, 51029, 51574, 50949, 51846, 50949, 51317, 50949, 50998, 50949, 51217, 50949, 51396, 50949, 51017, 72866, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 51574, 50901, 51846, 50901, 51317, 50901, 50998, 75585, 51418, 50300, 62361, 55905, 50901, 60483, 70134, 55521, 68981, 71836, 66952, 61728, 50998, 56398, 61009, 57679, 53677, 51370, 60527, 56365, 50874, 56618, 51029, 51574, 50923, 51846, 50923, 51317, 50923, 50998, 51834, 50296, 51834, 50300, 71840, 61740, 54209, 51012, 75750, 55141, 62090, 55862, 50894, 51180, 59548, 51138, 52190, 50948, 50446, 55862, 55230, 51574, 50849, 51846, 50849, 75663, 50998, 67915, 68876, 61121, 55501, 50849, 64968, 50984, 50451, 55862, 51427, 79795, 51957, 50882, 51574, 51012, 51846, 51012, 51317, 51012, 50998, 62996, 51952, 50300, 65770, 55580, 52715, 56826, 54591, 50844, 50799, 55837, 51167, 51574, 50849, 51846, 50849, 75663, 50998, 67915, 68876, 61121, 55501, 50849, 51718, 51826, 73254, 54448, 51857, 51059, 52562, 50949, 52028, 50949, 51311, 50949, 51136, 50949, 51751, 50949, 51506, 50949, 51042, 73760, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 55837, 51192, 52562, 50901, 52028, 50901, 51311, 50901, 51136, 51418, 50295, 51418, 50298, 67045, 60429, 50901, 60483, 53513, 52562, 50795, 52028, 50795, 76265, 67674, 51751, 70732, 59687, 57132, 51370, 60527, 56365, 50874, 55827, 51059, 55837, 50893, 52562, 50923, 52028, 50923, 51311, 50923, 51136, 51834, 50295, 51834, 50298, 51834, 50303, 62042, 54209, 51012, 75750, 55141, 50844, 51180, 59548, 51138, 52190, 50948, 50445, 55783, 77778, 52562, 50849, 52028, 50849, 51311, 50849, 51136, 51424, 50295, 77073, 68593, 61122, 50849, 64968, 50984, 54287, 50912, 50454, 55862, 58133, 51857, 50975, 52562, 51012, 52028, 51012, 51311, 51012, 51136, 51952, 50295, 51952, 50298, 73335, 68665, 55580, 52715, 56826, 54591, 50844, 50799, 55862, 51286, 52562, 50849, 52028, 50849, 51311, 50849, 51136, 51424, 50295, 77073, 68593, 61122, 50849, 51718, 51826, 73254, 54448, 51957, 51059, 51574, 50949, 51846, 50949, 51317, 50949, 50998, 50949, 51217, 50949, 51396, 50949, 51017, 72866, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 55521, 50806 ]
[ 0, 250, 32076, 8, 20425, 5862, 8, 232, 930, 24904, 6, 42, 8787, 2125, 16, 278, 11, 163, 538, 8, 11498, 10, 182, 1769, 20889, 4, 20, 13305, 8, 20535, 2810, 6, 217, 326, 5638, 18026, 8, 32909, 6, 483, 5, 15352, 30054, 1427, 6, 150, 5, 3459, 9590, 8, 21072, 694, 10, 2705, 41063, 15796, 4811, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 2060, 119, 6, 381, 6, 8, 274, 10431, 3872, 4668, 6, 1271, 7, 63, 20902, 8, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50639, 50799, 57317, 51047, 52384, 51452, 56760, 72270, 52264, 62118, 52314, 68535, 55558, 50866, 51744, 51452, 56588, 60204, 71463, 55125, 55078, 50866, 56760, 50878, 52384, 50878, 56588, 55037, 65049, 50873, 50799, 52067, 51397, 55870, 51714, 52148, 51714, 58267, 51894, 50438, 52067, 55040, 53147, 52843, 55078, 54752, 52067, 51043, 50799, 55558, 51047, 51968, 51047, 58837, 51452, 63911, 51204, 50426, 52314, 62118, 51744, 68535, 55078, 50845, 51641, 51714, 63911, 58937, 65361, 55125, 53147, 50878, 51968, 50878, 58837, 50845, 63911, 58325, 63533, 50845, 50799, 52264, 51397, 53084, 51422, 53542, 51714, 68306, 51945, 50438, 52264, 55040, 52067, 56060, 53147, 54752, 52264, 51043, 50799, 55078, 51452, 57754, 51047, 52701, 72270, 51744, 62118, 51641, 53264, 53147, 50845, 52061, 51047, 65049, 54630, 56588, 53562, 52067, 50878, 57754, 50866, 52701, 50866, 65049, 53702, 58267, 51194, 50799, 55558, 51452, 51968, 51047, 58837, 51452, 63911, 51562, 50426, 52314, 62118, 51744, 68535, 55078, 51043, 51641, 51047, 63911, 59187, 65361, 53562, 53147, 50878, 51968, 50866, 58837, 50845, 63911, 56974, 63533, 51043, 50799, 55078, 53295, 52384, 53295, 56760, 51717, 56588, 52250, 50799, 52211, 56202, 51898, 53244, 51723, 61120, 52298, 67174, 51431, 51918, 52298, 59323, 51723, 59562, 51898, 50795, 57497, 51538, 51040, 51623, 51028, 51091, 50968, 51573, 51147, 51204, 52211, 78468, 57654, 52180, 50608, 55587, 51383, 54800, 52710, 51383, 56651, 58950, 55864, 53974, 50920, 71645, 73835, 51028, 51226, 50968, 51573, 51147, 50983, 51383, 56651, 50388, 52127, 50444, 51270, 67343, 54591, 54672, 50920, 54411, 51360, 51116, 51040, 80037, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 55547, 51605, 51027, 51452, 76233, 51028, 51274, 50968, 51343, 50920, 62809, 52410, 51270, 53127, 52710, 51270, 61295, 58950, 50881, 50608, 55578, 53974, 51383, 53127, 55023, 62472, 51270, 53442, 50877, 50983, 51028, 52097, 50968, 51285, 51383, 53127, 52406, 50608, 60835, 50903, 52699, 61094, 51270, 55354, 51383, 53127, 54411, 51027, 73748, 70160, 54418, 50920, 63260, 56662, 71193, 50800, 58066, 52903, 51086, 53090, 50973, 51141, 51028, 51552, 51001, 51274, 58368, 51114, 51189, 50903, 52699, 52180, 50608, 55587, 51383, 54800, 52710, 51383, 56651, 56010, 55864, 53974, 51270, 56691, 71645, 73835, 50973, 50983, 51028, 51552, 51001, 51274, 51114, 50983, 51383, 56651, 52699, 53103, 51270, 56691, 59488, 55373, 50920, 54411, 51170, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 57844, 51362, 51028, 51573, 51001, 51541, 51114, 51204, 50920, 62809, 52410, 50920, 52710, 51383, 56651, 70120, 50881, 50608, 55578, 53974, 51270, 56691, 55023, 52125, 50973, 50983, 51028, 51552, 51001, 51274, 51114, 51291, 50920, 52406, 50608, 60835, 51383, 62413, 52699, 54672, 50920, 54411, 51324, 51160, 51086, 50991, 51170, 70160, 54418, 50920, 63260, 64516, 71193, 50800, 57497, 51685, 51040, 51685, 51028, 50983, 51001, 51274, 50968, 51496, 51147, 51141, 50903, 57654, 52180, 50608, 55587, 51383, 56691, 52710, 51270, 67343, 58950, 55864, 53974, 50920, 71645, 73835, 51028, 51343, 51001, 51274, 50968, 51541, 51147, 50983, 50903, 50388, 52127, 50444, 50903, 54591, 54672, 50920, 54411, 51360, 51235, 51040, 75010, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 55547, 51161, 51027, 51591, 50877, 51189, 50973, 51496, 51028, 51496, 50968, 51141, 50920, 62809, 52410, 51270, 56691, 50812, 51768, 58950, 50881, 50608, 55578, 53974, 50920, 55023, 52125, 50877, 51291, 50973, 52512, 51028, 52195, 50968, 51291, 51383, 54800, 52406, 50608, 60835, 51270, 67343, 52699, 54672, 50920, 54411, 51279, 51363, 51027, 51160, 51170, 70160, 54418, 50920, 63260, 56662, 71193, 50800, 58066, 54484, 51086, 52045, 50973, 51189, 51028, 51496, 51001, 51274, 51114, 50983, 50903, 52699, 52180, 50608, 70628, 50968, 53728, 51270, 52539, 54080, 51270, 50820, 51768, 56010, 55864, 53974, 51383, 56691, 71645, 73835, 50973, 51141, 51028, 51552, 51001, 51496, 51114, 51141, 50903, 52699, 53103, 51270, 53127, 59488, 55373, 50920, 54411, 51170, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 57844, 51343, 51028, 51761, 51001, 51274, 51114, 50983, 50920, 62809, 52410, 51270, 53127, 52710, 51270, 61295, 70120, 50881, 50608, 55578, 53974, 51383, 53127, 55023, 62472, 51270, 53442, 50973, 51362, 51028, 51573, 51001, 51226, 51114, 51091, 51383, 53127, 52406, 50597, 50823, 53615, 60835, 50920, 61094, 51270, 55354, 51383, 53127, 54411, 51324, 51160, 51086, 51235, 51170, 50388, 54502, 55864, 54418, 50920, 62984, 58730, 71193, 57459, 52365, 61629, 52365, 50809, 57542, 50844, 51040, 51534, 51028, 51221, 50968, 51514, 50332, 50845, 51228, 51090, 51769, 77293, 53914, 52180, 50608, 55587, 51147, 68572, 54800, 54080, 50916, 54504, 50965, 50912, 51399, 50873, 51383, 56651, 56010, 55864, 53974, 51040, 51116, 51028, 51235, 50968, 51116, 51430, 50991, 51228, 51573, 51270, 56691, 71645, 73835, 51383, 56651, 52699, 53103, 51086, 50991, 50973, 51124, 51001, 51124, 51405, 51124, 51270, 67343, 55141, 54672, 50920, 54411, 51205, 51160, 51170, 70160, 53104, 50608, 51923, 51040, 63057, 68547, 51800, 50332, 50889, 50920, 63260, 64516, 57500, 50800, 53285, 51541, 50920, 62809, 52410, 50916, 52216, 50324, 58553, 54080, 50965, 58309, 51399, 67020, 56651, 66926, 50881, 50608, 55578, 53974, 50916, 51241, 50968, 51351, 51147, 51741, 50336, 51226, 51487, 50810, 51019, 51573, 51270, 67343, 52699, 51724, 50920, 52406, 50608, 60835, 51220, 51363, 51383, 62413, 52699, 54672, 50920, 54411, 50965, 51998, 51430, 50874, 51069, 69734, 70160, 54418, 66461, 75107, 79407, 51787, 50849, 51096, 68498, 63260, 63787, 71193, 50800, 56178, 65271, 68800, 51455, 50334, 51255, 51205, 51541, 50903, 52699, 52180, 50608, 55587, 50989, 78288, 52858, 50327, 50892, 51270, 52539, 54080, 51270, 52639, 51405, 62983, 62467, 56010, 55864, 53974, 50956, 68035, 76919, 51458, 50334, 50805, 51213, 51541, 51383, 56691, 71645, 51111, 59015, 52699, 53103, 50973, 69474, 51514, 50327, 50806, 51405, 50893, 51270, 61295, 55141, 54672, 50920, 54411, 51415, 51014, 51170, 70160, 53104, 50608, 51923, 50956, 71606, 51619, 50322, 51124, 51787, 51124, 51415, 51496, 53147, 51059, 52314, 52512, 53084, 51029, 52377, 51761, 50920, 63260, 56662, 57500, 50800, 60122, 62809, 52410, 51220, 63772, 52034, 51270, 53127, 54080, 50973, 57252, 51405, 50844, 52264, 51030, 51641, 50911, 52384, 50923, 52377, 50911, 51270, 61295, 58950, 50881, 50608, 55578, 53974, 50956, 51235, 51001, 51203, 51114, 51455, 50334, 51116, 51213, 51226, 52314, 50805, 52061, 51111, 51968, 50948, 52698, 50917, 51383, 53127, 55023, 62472, 51270, 53442, 52264, 51030, 51641, 50923, 52377, 51030, 52384, 50911, 51383, 53127, 52406, 50608, 60835, 51220, 50874, 50989, 50907, 50973, 50838, 52314, 51192, 53147, 51286, 52698, 51060, 53084, 51192, 50903, 52699, 61094, 51270, 55354, 51383, 53127, 54411, 51405, 50822, 51205, 51235, 52264, 51030, 51641, 50923, 52384, 51014, 52377, 50936, 51170, 70160, 54418, 50956, 50812, 65559, 51114, 50810, 51787, 50812, 78153, 52264, 51354, 55078, 51354, 52384, 50823, 54006, 51483, 50920, 60512, 71193, 58915, 50802, 51769, 51505, 57346, 50991, 51028, 51221, 50968, 65799, 51221, 50920, 52180, 50608 ]
[ 0, 250, 182, 251, 2125, 9, 15855, 930, 6, 42, 15229, 16, 17407, 30, 63, 1769, 12, 20764, 231, 73, 398, 86, 6543, 8, 63, 5386, 6, 9066, 6711, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 822, 2369, 36546, 4, 20, 17691, 28430, 6, 6755, 12547, 6, 9590, 3863, 6, 2342, 4467, 6, 8, 6168, 3540, 35810, 561, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 19, 5, 762, 9, 211, 3694, 6946, 41, 935, 9, 10603, 7, 5, 7069, 4, 20, 33215, 16739, 9, 83, 6, 211, 119, 6, 8, 163, 43531, 3639, 7, 5, 28339, 619, 9, 42, 9893, 6, 25306, 173, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50647, 51540, 50627, 50415, 50711, 50287, 51492, 56049, 51492, 50417, 52820, 54060, 52776, 77103, 52820, 54060, 50420, 52776, 66546, 52820, 54060, 50423, 52820, 54060, 52776, 68057, 52820, 54060, 50426, 50628, 52776, 63220, 52820, 54060, 50429, 52820, 54060, 52776, 69812, 52820, 54060, 50432, 52776, 67631, 52820, 52835, 50435, 52820, 52835, 52776, 63892, 52820, 52835, 50438, 52776, 64456, 52820, 52835, 50441, 52820, 52835, 52776, 70035, 52820, 52835, 50444, 52776, 70378, 52820, 52835, 50447, 52820, 52835, 52776, 63500, 52820, 78065, 50627, 52776, 64380, 52820, 52835, 50453, 52820, 52835, 52776, 67970, 52820, 52835, 50456, 52776, 72727, 52820, 52835, 50459, 52820, 52835, 52776, 63604, 52820, 52835, 50462, 50628, 52776, 50821, 50463, 52820, 52835, 50465, 52820, 52835, 52776, 50821, 50467, 52820, 52835, 50468, 52776, 50821, 50469, 52820, 52835, 50471, 52820, 52835, 52776, 50821, 50473, 52820, 52835, 50474, 52776, 50821, 50475, 52820, 52835, 50477, 52820, 52835, 52776, 50821, 50479, 52820, 52835, 50480, 52776, 50821, 50481, 52820, 52835, 50483, 52820, 52835, 52776, 50821, 50485, 52820, 52835, 51540, 50627, 52776, 63586, 52820, 52835, 50417, 52820, 52514, 52776, 77103, 52820, 52514, 50420, 52776, 66546, 52820, 52514, 50423, 52820, 52514, 52776, 68057, 52820, 52514, 50426, 50628, 52776, 63220, 52820, 52514, 50429, 52820, 52514, 52776, 69812, 52820, 52514, 50432, 52776, 67631, 52820, 52514, 50435, 52820, 52514, 52776, 63892, 52820, 52514, 50438, 52776, 64456, 52820, 52514, 50441, 52820, 52514, 52776, 70035, 52820, 52514, 50444, 52776, 70378, 52820, 52514, 50447, 52820, 52514, 52776, 63500, 52820, 73856, 50627, 52776, 64380, 52820, 52514, 50453, 52820, 52514, 52776, 67970, 52820, 52514, 50456, 52776, 72727, 52820, 52514, 50459, 52820, 52514, 52776, 63604, 52820, 52514, 50462, 50628, 52776, 50821, 50463, 52820, 52514, 50465, 52820, 52514, 52776, 50821, 50467, 52820, 52514, 50468, 52776, 50821, 50469, 52820, 52514, 50471, 52820, 52514, 52776, 50821, 50473, 52820, 52514, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51699, 50806, 51699, 50806, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51883, 50806, 51883, 50806, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 52820, 52134, 50416, 51638, 50896, 51638, 66281, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50428, 51883, 50896, 51883, 69460, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50440, 51638, 50896, 51638, 69152, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50452, 51699, 50896, 51699, 70388, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50464, 51883, 50896, 51883, 50896, 50465, 52820, 52134, 52776, 50821, 50467, 52820, 52134, 50468, 52776, 50821, 50469, 52820, 52134, 50471, 52820, 52134, 52776, 50821, 50473, 52820, 52134, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51299, 51055, 51299, 51055, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 52820, 52134, 50416, 51638, 50896, 51638, 66281, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50428, 51883, 50896, 51883, 69460, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50440, 51638, 50896, 51638, 69152, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50452, 51699, 51196, 51699, 51196, 50453, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50465, 52820, 52134, 52776, 50821, 50467, 52820, 52134, 50468, 52776, 50821, 50469, 52820, 52134, 50471, 52820, 52134, 52776, 50821, 50473, 52820, 52134, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51883, 50936, 51883, 50936, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51887, 50936, 51887, 50936, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 61331, 54454, 52820, 52134, 50416, 60749, 52382, 54875, 52382, 52481, 53898, 51699, 53898, 51699, 53898, 50417, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50429, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50441, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50453, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50465, 52820, 52835, 52776, 50821, 50467, 52820, 52835, 50468, 52776, 50821, 50469, 52820, 52835, 50471, 52820, 52514, 52776, 50821, 50473, 52820, 52514, 50474, 52776, 50821, 50475, 52820, 52514, 50476, 51883, 50936, 51883, 50936, 50477, 52820, 52514, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51887, 50936, 51887, 50936, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 61331, 54454, 52820, 52134, 50416, 60749, 52382, 54875, 52382, 52481, 53898, 51699, 53898, 51699, 53898, 50417, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50429, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50441, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50453, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50465, 52820, 52134, 52776, 50821, 50467, 52820, 52134, 50468, 52776, 50821, 50469, 52820, 52134, 50471, 52820, 52134, 52776, 50821, 50473, 52820, 52134, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51883, 50936, 51883, 50936, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51887, 50936, 51887, 50936, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540 ]
[ 0, 250, 5679, 26709, 8, 15352, 30054, 3152, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 2635, 20889, 6, 42, 765, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 230, 10431, 119, 6, 381, 6, 83, 6, 8, 163, 6, 2351, 10, 19448, 8, 2829, 2933, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 52537, 50844, 51708, 50833, 51232, 50810, 66491, 51777, 52654, 68140, 72157, 51777, 53614, 51232, 50810, 72157, 51777, 54004, 51232, 50844, 72157, 51777, 54194, 51232, 50810, 51119, 58223, 51232, 50851, 51119, 50822, 51275, 50854, 67094, 51359, 51708, 51359, 51232, 50873, 51119, 50873, 51777, 53890, 51232, 50844, 51119, 50844, 51777, 54123, 51232, 50822, 51119, 50844, 51777, 53783, 59887, 52175, 53580, 50821, 51232, 50810, 51119, 50810, 51777, 56936, 54727, 54418, 51232, 73363, 53880, 51291, 50459, 51119, 50822, 51275, 50854, 67094, 51255, 51708, 50901, 51119, 50810, 51777, 50854, 51489, 50905, 53389, 52250, 53100, 52149, 50426, 51119, 50874, 51777, 50822, 51489, 54123, 51119, 50827, 51777, 50874, 51489, 54653, 53580, 56827, 52491, 51138, 51119, 50874, 51777, 50844, 51489, 66849, 52891, 50824, 64680, 50812, 51119, 50822, 51777, 50822, 51489, 54351, 52491, 51977, 50426, 51119, 50822, 51777, 50844, 51489, 53614, 51119, 50822, 51777, 50844, 51489, 53103, 53580, 65399, 52491, 50860, 51708, 50808, 51119, 50844, 51777, 50810, 51489, 59697, 52891, 51072, 62404, 51605, 51198, 50879, 76092, 51275, 50849, 52070, 50805, 51881, 59047, 52891, 61177, 52891, 50923, 51119, 50810, 71499, 52070, 53627, 52891, 62591, 52891, 51388, 51119, 50810, 71499, 52070, 53103, 52491, 72551, 52228, 51354, 51119, 50810, 51275, 50854, 52070, 50854, 53100, 63505, 52491, 51933, 51119, 50844, 51777, 50822, 51489, 54678, 55148, 51696, 53541, 51036, 69935, 51605, 51232, 50914, 51512, 50901, 51429, 50805, 51489, 55035, 51512, 50812, 51429, 50854, 51489, 54181, 51512, 50833, 51429, 50854, 51489, 71303, 59887, 57887, 51512, 50810, 51429, 50854, 51275, 50833, 51489, 67509, 53580, 68750, 54727, 52935, 53880, 63574, 53880, 51527, 67094, 50812, 51708, 50812, 72157, 51429, 50812, 51777, 50810, 51489, 50812, 53389, 52570, 53100, 52149, 50426, 51119, 50844, 51429, 50854, 51777, 50833, 51489, 62903, 59887, 55381, 51119, 50844, 51429, 50854, 51777, 50810, 51489, 59615, 53580, 52313, 54727, 56762, 53580, 56812, 51119, 50810, 51429, 50854, 51777, 50810, 51489, 52863, 54727, 57264, 53580, 51364, 64680, 50833, 51119, 50810, 51429, 50854, 51777, 50810, 51489, 52654, 51119, 50810, 76022, 51777, 50854, 51489, 53911, 53580, 52674, 54727, 55381, 53580, 51059, 51119, 50810, 76022, 51777, 50854, 51489, 54276, 52491, 50802, 51847, 50808, 51232, 50854, 72157, 51777, 50854, 51489, 53820, 51232, 50822, 51119, 63652, 52491, 52442, 62404, 51605, 68946, 51494, 50795, 71107, 73139, 51881, 51696, 50426, 76818, 60056, 51275, 52599, 51494, 50833, 72157, 51275, 52848, 51198, 50810, 60056, 51777, 50812, 69935, 51991, 51232, 51945, 51512, 50833, 51429, 50808, 51489, 50808, 55148, 51469, 53541, 52149, 50426, 51512, 50854, 51429, 50854, 51489, 59628, 59887, 56360, 53580, 50802, 51512, 50854, 51429, 50854, 51489, 52597, 54727, 66070, 53880, 51030, 51512, 50833, 51429, 50812, 51489, 52643, 53880, 52827, 50459, 62146, 51655, 51881, 51655, 72722, 50812, 76022, 51275, 50822, 52070, 50833, 51578, 50808, 52461, 52710, 51275, 50822, 74828, 71837, 52461, 52729, 53580, 74292, 50822, 52070, 50854, 51578, 50854, 52461, 53103, 52491, 75044, 51275, 50822, 52070, 50854, 71837, 52461, 54194, 52891, 51059, 50459, 55430, 50882, 53389, 50800, 62404, 50854, 51198, 50808, 51275, 50844, 71008, 52070, 50812, 78380, 55430, 52379, 53389, 51264, 51881, 51655, 50420, 52491, 52282, 50426, 51275, 50822, 51489, 50854, 52070, 50833, 51578, 54181, 51275, 50822, 71008, 52070, 50812, 51578, 54276, 51275, 50844, 71008, 52070, 50812, 51578, 54424, 53580, 57264, 52491, 50882, 50799, 52891, 51603, 53483, 50808, 76818, 51777, 50845, 52070, 50873, 51578, 50849, 57633, 51655, 53389, 51036, 53100, 61899, 52891, 50859, 51777, 50822, 52070, 50854, 51578, 52658, 52891, 51573, 50438, 51777, 50844, 74828, 51578, 71696, 52491, 52555, 52491, 50940, 51777, 50844, 52070, 50833, 51578, 62091, 52491, 51795, 62404, 50854, 67731, 72157, 51275, 50854, 51489, 50854, 52070, 50833, 51578, 50854, 55430, 52208, 53389, 51036, 51881, 52250, 50426, 51119, 50874, 51275, 50822, 51489, 50822, 52070, 50822, 51578, 54123, 51119, 50874, 51275, 50822, 51489, 50822, 52070, 50822, 51578, 54385, 51198, 50810, 51119, 50874, 51275, 50874, 51489, 50822, 52070, 50874, 51578, 54900, 53580, 51014, 51119, 50874, 51275, 50822, 51489, 50822, 51578, 50822, 50799, 52228, 50823, 51869, 50812, 64874, 51275, 50833, 51516, 50810, 52461, 50800, 53817, 51655, 53541, 76188, 53580, 55446, 52228, 54007, 53580, 55889, 52228, 52266, 51275, 50844, 51516, 50822, 52461, 53415, 51275, 50844, 51516, 50844, 52461, 52843, 80062, 51275, 50874, 51516, 50844, 52461, 53920, 59887, 51060, 50799, 52228, 50803, 53483, 51675, 51494, 51675, 51275, 50845, 51489, 50849, 52070, 50795, 51578, 50849, 55430, 51036, 53389, 52024, 50417, 53580, 55446, 52228, 54007, 53580, 54149, 52228, 51496, 51275, 50822, 63885, 52070, 50854, 51578, 53614, 51275, 50874, 63885, 52070, 50854, 51578, 54385, 51275, 50844, 51489, 50854, 52070, 50833, 51578, 53920, 59887, 51173, 50459, 59439, 51469, 53100, 51696, 70781, 50874, 51777, 50822, 51489, 50854, 51578, 62501, 52228, 62229, 53580, 55341, 53580, 51215, 51119, 50810, 51777, 50822, 63885, 51578, 53193, 54727, 68405, 53880, 56039, 66491, 51777, 50822, 63885, 51578, 54004, 51777, 50810, 51489, 50844, 51578, 53820, 74456, 65237, 51310, 51099, 51134, 51275, 50892, 51489, 50849, 51516, 50892, 51578, 50845, 53817, 51336, 53541, 51336, 51881, 51655, 50421, 52228, 57327, 51275, 50822, 71008, 51516, 50810, 51578, 60950, 52228, 57611, 53580, 64104, 53580, 51286, 53483, 50914, 51494, 51003, 51275, 50905, 51489, 50873, 52070, 50873, 51578, 50845, 57633, 51196, 53389, 52045, 50444, 54727, 57099, 54727, 51173, 51275, 50822, 51489, 50854, 52070, 50854, 51578, 52863, 53880, 51551, 67094, 51518, 51708, 51486, 51777, 50901, 51489, 50849, 51578, 50849, 59439, 53241, 53100, 52536, 50426, 51777, 50827, 51489, 50822, 51578, 53513, 53880, 50836, 51323, 53925, 53580, 51100, 52232, 50802, 51777, 50822, 63885, 51578, 53103, 52491, 51191, 51770, 51072, 52612, 53153, 51777, 50810, 51489, 50854, 51578, 50833, 50700, 50277, 60101, 55982, 51224, 65243, 53319, 51591, 54022, 65202, 51326, 50859, 53400, 51029, 53278, 51732, 54165, 52379, 54008, 52017, 58001, 50950, 52533, 50950, 52040, 50950, 51232, 50950, 51512, 50950, 51429, 50950, 56617, 51353, 52033, 52250, 52187, 51655, 52225, 52149, 51217, 50817, 51042, 51031, 50868, 69585, 51031, 50935, 52220, 54567, 54858, 50584, 58112, 50588, 54504, 52533, 50950, 52040, 50882, 51232, 50950, 51512, 50894, 51429, 50950, 51217, 50950, 64022, 56384, 50992, 69998, 52409, 54567, 55270, 51205, 50811, 52172, 50812, 52150, 50803, 52040, 50858, 51232, 50821, 51512, 50859, 51429, 50859, 51042, 59371, 69992, 60877, 52972, 55768, 54584, 62664, 53319, 50828, 54022, 50802, 52533, 50882, 51217, 50858, 51042, 60709, 69992, 55768, 60466, 51019, 51059, 52172, 50897, 52150, 50803, 52040, 50821, 51232, 50821, 51512, 50859, 51429, 50859, 51042, 60410, 66246, 64582, 51747, 55768, 50912, 50448, 53319, 51159, 54022, 58348, 52533, 50950, 52040, 50894, 51232, 50950, 51512, 50882, 51429, 50950, 51217, 50803, 51042, 65894, 78875, 62354, 55976, 54567, 58229, 51042, 60410, 66246, 54418, 62373, 50457, 52172 ]
[ 0, 250, 13363, 28191, 5175, 25771, 15229, 14, 36193, 5, 30443, 7, 10, 4714, 6, 5679, 26709, 2369, 18795, 4, 44544, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 8, 1337, 17796, 15561, 35810, 561, 10, 5797, 990, 1506, 9, 2933, 6, 15352, 30054, 23225, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 30853, 23, 10, 7212, 20889, 6, 2351, 41, 24111, 8, 22845, 41805, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50449, 73160, 58576, 50450, 52584, 51717, 51416, 51492, 59999, 51492, 55485, 51717, 50454, 50665, 50340, 58576, 50457, 50665, 50344, 58576, 50459, 50665, 50342, 56373, 50799, 50665, 50344, 54060, 50416, 50665, 50338, 56373, 50420, 50665, 50340, 59641, 50424, 50665, 50335, 52794, 50425, 73160, 52794, 50427, 50665, 50339, 54618, 50434, 50665, 50340, 65330, 50436, 50665, 50335, 57070, 50440, 50665, 50342, 54618, 50445, 50665, 50334, 54618, 50449, 50665, 50338, 57070, 50455, 50665, 50340, 52835, 50456, 50665, 50337, 57070, 50799, 73160, 52835, 50415, 50665, 50337, 57070, 50420, 50665, 50338, 54618, 50426, 50665, 50336, 57070, 50429, 50665, 50340, 52462, 50433, 50665, 50342, 52835, 50437, 50665, 50335, 52462, 50440, 50665, 50339, 52462, 50442, 50665, 50342, 57070, 50446, 50665, 50338, 54618, 50451, 50665, 50344, 57070, 50452, 50665, 50340, 54618, 50456, 50665, 50342, 52462, 50458, 50665, 50336, 54618, 50799, 50665, 50334, 54618, 50419, 50665, 50341, 52462, 50421, 50665, 50338, 54618, 50425, 50665, 50335, 69066, 50428, 50665, 50340, 52462, 50431, 50665, 50337, 52462, 50434, 50665, 50342, 53306, 50438, 50665, 50339, 65330, 50446, 50665, 50337, 54618, 50450, 50665, 50340, 52462, 50455, 50665, 50342, 52835, 50456, 50665, 50337, 54618, 50459, 71518, 52835, 50799, 58559, 50867, 51132, 55048, 50971, 50665, 50338, 57070, 50665, 50340, 51693, 50417, 58559, 50959, 51132, 59922, 51000, 50419, 73160, 57070, 50420, 57073, 50959, 51137, 59922, 63521, 57755, 50959, 51602, 59922, 57203, 58559, 50867, 51132, 55048, 51126, 50665, 50340, 59641, 50428, 50665, 50336, 59641, 50429, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 53187, 71598, 50665, 50339, 59641, 50435, 57755, 50959, 51602, 59922, 75753, 50665, 50342, 59641, 50438, 58559, 50867, 51132, 55048, 63780, 58559, 50959, 51132, 59922, 74965, 50665, 50338, 63069, 50444, 57073, 50822, 51137, 53187, 63491, 57755, 50959, 51602, 59922, 51297, 50448, 73160, 63069, 50450, 58559, 50867, 51132, 55048, 79859, 50665, 50339, 63069, 50453, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 71439, 50665, 50341, 63069, 50459, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 55048, 66981, 58559, 50959, 51132, 59922, 58333, 57073, 50959, 51137, 59922, 63521, 57755, 50959, 51602, 59922, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 53187, 64568, 57755, 50959, 51602, 59922, 61389, 58559, 50867, 51132, 55048, 63780, 58559, 50959, 51132, 59922, 57522, 57073, 50822, 51137, 53187, 63491, 57755, 50959, 51602, 59922, 60258, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 68248, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 55048, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 63711, 56551, 57755, 50959, 51602, 59922, 62320, 50864, 50799, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 50897, 56980, 57717, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 60960, 58594, 58559, 50959, 51132, 59922, 63711, 54854, 57073, 50822, 51137, 50812, 56980, 66247, 63711, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 66425, 50767, 50326, 60844, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50812, 56980, 57717, 63711, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 56071, 50941, 50451, 50767, 50326, 50878, 50453, 58559, 50959, 51132, 59922, 56685, 55835, 57073, 50959, 51137, 59922, 51128, 50457, 56980, 61219, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 55048, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 64359, 58428, 52096, 50438, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 63711, 56551, 57755, 50959, 51602, 59922, 62320, 50864, 50799, 58559, 50867, 51132, 55048, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 60960, 58594, 58559, 50959, 51132, 59922, 63711, 54854, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 56071, 61096, 58559, 50959, 51132, 59922, 56685, 55835, 57073, 50959, 51137, 59922, 68248, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 50836, 51132, 51492, 67023, 52149, 50832, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 63711, 56551, 57755, 50959, 51602, 59922, 62320, 50864, 50799, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 50897, 56980, 57717, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 60960, 58594, 58559, 50959, 51132, 59922, 63711, 54854, 57073, 50822, 51137, 50812, 56980, 66247, 63711, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 66425, 50767, 50326, 60844, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50812, 56980, 57717, 63711, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 56071, 50941, 50451, 50767, 50326, 50878, 50453, 58559, 50959, 51132, 59922, 56685, 55835, 57073, 50959, 51137, 59922, 51128, 50457, 56980, 61219, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 50836, 53733, 52829, 55321, 52829, 53511, 52829 ]
[ 0, 250, 765, 37903, 9, 5175, 930, 19, 10, 7212, 20889, 6, 4246, 21072, 6, 26432, 636, 3938, 22052, 6, 3459, 8669, 6, 9590, 6, 8, 10, 6755, 12547, 6, 2351, 10, 15352, 30054, 8, 1372, 2365, 5466, 11, 5, 762, 9, 274, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50415, 51425, 51000, 51262, 50880, 76753, 51319, 50421, 52825, 60743, 51262, 61799, 51536, 50840, 52825, 62425, 51262, 58853, 51630, 63539, 51536, 50810, 52825, 67552, 51262, 66880, 51630, 50827, 52967, 50820, 51632, 51134, 50448, 51536, 50864, 52825, 64698, 55223, 51262, 50984, 51536, 64526, 51630, 51000, 52967, 50984, 51762, 50457, 52825, 51252, 54033, 53800, 59322, 51262, 51000, 51536, 50813, 54033, 50846, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 50846, 52825, 51041, 57404, 54033, 50825, 53749, 51833, 54763, 61083, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52825, 50846, 52803, 53479, 60561, 51239, 56839, 53749, 51252, 51287, 52439, 58406, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52825, 50820, 52803, 51833, 65004, 52967, 50883, 53749, 51000, 78605, 62438, 74746, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52967, 50825, 53749, 51319, 51287, 52272, 68343, 54033, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52967, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 51630, 50883, 53143, 51239, 58245, 51262, 50825, 52967, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 51630, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51543, 50883, 52967, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 71275, 53143, 50891, 52798, 53270, 62120, 51543, 50820, 52967, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 51630, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51543, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 54033, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 54033, 50825, 53749, 51833, 59094, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52978, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51630, 50883, 52978, 51833, 65004, 52825, 50820, 54033, 50883, 53749, 51000, 52112, 50442, 74746, 53143, 50891, 52798, 53270, 62120, 71275, 52978, 50891, 51632, 53662, 51437, 58321, 54033, 50825, 53749, 51319, 52470, 50451, 54033, 50883, 52798, 54835, 59172, 51041, 57208, 51630, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 54033, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 52395, 50883, 53143, 51239, 58245, 51262, 50825, 52803, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 52395, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52803, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 52395, 50820, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 52395, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 52803, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 50846, 52825, 51041, 57404, 52803, 50825, 53749, 51833, 59094, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52825, 50846, 52803, 53479, 60561, 51239, 56839, 53749, 51252, 51468, 50433, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52825, 50820, 52803, 51833, 65004, 52967, 50883, 53749, 51000, 52112, 50442, 74746, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52967, 50825, 53749, 51319, 52470, 50451, 52803, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52967, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 51630, 50883, 53143, 51239, 58245, 51262, 50825, 52967, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 51630, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51543, 50883, 52967, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 71275, 53143, 50891, 52798, 53270, 62120, 51543, 50820, 52967, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 51630, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51543, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 54033, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 54033, 50825, 53749, 51833, 59094, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52978, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51630, 50883, 52978, 51833, 65004, 52825, 50820, 54033, 50883, 53749, 51000, 52112, 50442, 74746, 53143, 50891, 52798, 53270, 62120, 71275, 52978, 50891, 51632, 53662, 51437, 58321, 54033, 50825, 53749, 51319, 52470, 50451, 54033, 50883, 52798, 54835, 59172, 51041, 57208, 51630, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 54033, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 52395, 50883, 53143, 51239, 58245, 51262, 50825, 52803, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 52395, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52803, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 52395, 50820, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 52395, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 51536, 77608, 51601, 51154, 52482, 51262, 50846, 51632, 51166, 50418, 52825, 50883, 53143, 51041, 57404, 51355, 50883, 52803, 58304, 51262, 50864, 51536, 50813, 52978, 50880, 51468, 50427, 52825, 50820, 53143, 51373, 56839, 51355, 50864, 52803, 71372, 51536, 51000, 52978, 50813, 51632, 50840, 51762, 50436, 52825, 51000, 53143, 51252, 53749, 51437, 65004, 51355, 51000, 52803, 51000, 54224, 51437, 60547, 52978, 51000, 51632, 50840, 56413, 57460, 57920, 54200, 75534, 66137, 56009, 61800, 56083, 55223, 51632, 50840, 62179, 51437, 64676, 64526, 55635, 54200, 56410, 62037, 51632, 50840, 60382, 54763, 50373, 63599, 59025, 52876, 50846, 58599, 74141, 50821, 51468, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 51630, 50883, 53143, 51239, 58245, 51262, 50825, 52967, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 51630, 50846, 53143, 50820, 52798, 50883, 51632 ]
[ 0, 250, 2933, 8, 15352, 30054, 5175, 2214, 19, 3152, 16882, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 16, 11, 230, 10431, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 1171, 2060, 406, 6, 211, 6, 12608, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50796, 50796, 50799, 53195, 62601, 53141, 55804, 54825, 76190, 52758, 68273, 55625, 55256, 63512, 50818, 54322, 54085, 63512, 50818, 54322, 52193, 63512, 50818, 54322, 53736, 63512, 50818, 54322, 50817, 50799, 63512, 50865, 54322, 50860, 51064, 62601, 51032, 55804, 51316, 67008, 63512, 50809, 54322, 57646, 51032, 54381, 51076, 58242, 63512, 50865, 54322, 65644, 69954, 51292, 71692, 63512, 50809, 54322, 58221, 65561, 51438, 52726, 51786, 51407, 50433, 63512, 50795, 54110, 59898, 51032, 57880, 51316, 51009, 50440, 63512, 50809, 54110, 60869, 63512, 50865, 54322, 54554, 63512, 50818, 54322, 54085, 63512, 50818, 54322, 52193, 63512, 50818, 54322, 53736, 63512, 50818, 54322, 50817, 50799, 63512, 50865, 54322, 50860, 53195, 62601, 53141, 55804, 54825, 51300, 50421, 63512, 50809, 54322, 58242, 63512, 50865, 54322, 66605, 63512, 50809, 54322, 59009, 63512, 50795, 54110, 52125, 52758, 68273, 63512, 50809, 54110, 50811, 55625, 68937, 63512, 50865, 54322, 56059, 65798, 52175, 63512, 50818, 54322, 50817, 51885, 53532, 63512, 50818, 54322, 50817, 51386, 59730, 51611, 52884, 63512, 50818, 54322, 50817, 52305, 58150, 55241, 54871, 63512, 50818, 54322, 50817, 55596, 56628, 65798, 50811, 50799, 63512, 50865, 54322, 50860, 51064, 62601, 51032, 55804, 51316, 67008, 63512, 50809, 54322, 57646, 51032, 54381, 51076, 58242, 63512, 50865, 54322, 65644, 69954, 51292, 71692, 63512, 50809, 54322, 58221, 65561, 51438, 52726, 51786, 51407, 50433, 63512, 50795, 54110, 59898, 51032, 57880, 51316, 51009, 50440, 63512, 50809, 54110, 60869, 63512, 50865, 54322, 54554, 63512, 50818, 54322, 54085, 63512, 50818, 54322, 52193, 63512, 50818, 54322, 53736, 63512, 50818, 54322, 50817, 57211, 54322, 50993, 54322, 68173, 51815, 50993, 51815, 60493, 52473, 52737, 52473, 52737, 51282, 52903, 51282, 52903, 51557, 52903, 51557, 52903, 57448, 72850, 52899, 70373, 50803, 52007, 52801, 51436, 50803, 51694, 53300, 51729, 50993, 51361, 72064, 52010, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 51755, 52010, 51039, 50803, 51694, 53300, 51729, 50993, 51361, 62922, 72064, 52010, 51513, 66475, 50803, 52007, 50803, 51899, 52010, 51729, 53532, 51513, 63428, 50803, 51729, 50802, 51755, 50803, 52899, 70373, 50803, 52007, 52801, 51436, 50803, 51694, 53300, 51729, 50993, 51361, 72064, 52010, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51849, 51151, 57665, 51039, 50803, 51694, 53300, 51729, 50993, 51361, 62922, 52057, 51495, 78824, 51513, 53609, 51281, 50993, 51180, 50803, 52007, 52116, 51341, 52409, 52010, 51729, 53532, 51495, 50803, 51513, 63428, 50803, 51729, 50802, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 72378, 53300, 51729, 50993, 51361, 52674, 51846, 57838, 72064, 52010, 51513, 66475, 50803, 52007, 50803, 51899, 52010, 51729, 53532, 51513, 63428, 50803, 51729, 50802, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 72378, 53300, 51729, 50993, 51361, 52674, 51846, 57838, 52057, 51495, 78824, 51513, 53609, 51281, 50993, 51180, 50803, 52007, 52116, 51341, 50803, 51885, 50813, 51511, 52791, 52010, 51729, 53532, 51495, 50803, 51885, 50813, 51511, 68676, 63428, 50803, 51729, 54934, 51885, 50813, 51511, 50811, 75961, 59110, 50803, 51990, 50802, 52708, 51717, 52077, 51717, 52655, 51717, 50420, 50998, 65765, 50803, 51729, 52801, 51513, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 52057, 51317, 51009, 57665, 51513, 53609, 51729, 66475, 50803, 51265, 67501, 50803, 51436, 50803, 51899, 52010, 51659, 55680, 51726, 63428, 50803, 51425, 52937, 51990, 50803, 75961, 51029, 57665, 50420, 50998, 65765, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 62922, 52057, 51078, 51009, 57665, 51781, 66475, 50803, 51729, 50803, 51899, 52010, 51659, 53532, 51781, 63428, 50803, 51659, 50802, 75961, 59110, 50803, 51990, 50802, 52708, 51717, 52077, 53295, 52655, 53295, 50420, 50998, 65765, 50803, 51729, 52801, 51513, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 52057, 51078, 51009, 57665, 51513, 53609, 51729, 66475, 50803, 51265, 67501, 50803, 51436, 50803, 51899, 52010, 51659, 55680, 51726, 63428, 50803, 51425, 52937, 51990, 50803, 75961, 51029, 57665, 50420, 50998, 65765, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 62922, 52057, 51495, 68850, 51009, 57665, 51781, 53609, 51281, 50993, 51180, 50803, 51729, 52116, 51341, 52409, 52010, 74914, 51855, 50845, 51882, 60489, 51495, 50803, 51781, 63428, 50803, 51659, 50802, 52088, 50845, 52753, 50845, 52525, 50845, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 72378, 53300, 51729, 50993, 51361, 52674, 51846, 57838, 72064, 52010, 51513, 66475, 50803, 52007, 50803, 51899, 52010, 51729, 53532, 51513, 63428, 50803, 51729, 50802, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 51300, 51885, 50813, 51511, 52750, 52409, 53300, 51885, 50813, 51511, 52750, 52409, 55866, 51729, 60493, 50832, 52674, 51846, 51009, 51885, 50813, 51511, 52750, 52409, 52057, 51495, 50803, 51885, 50813, 51511, 52750, 52409, 50803, 51513, 53609, 51281, 50993, 51885, 50813, 51511, 52750, 52409, 51880, 52284, 50832, 50803, 52007, 52911, 51885, 50813, 51511, 52750, 52409, 52116, 51341, 50803, 51885, 50813, 51511, 52750, 52409, 50803, 51729, 53532, 51495, 50803, 51885, 50813, 51511, 52750, 52409, 55866, 51513, 52163, 50832, 50803, 51729, 54934, 51885, 50813, 51511, 52750, 52409, 50803, 50799, 63512, 50865, 54322, 50860, 51064, 50811, 65798, 54774, 55866, 51957, 50824, 50416, 51032, 55804, 51316, 50860, 51039, 55866, 50421, 63512, 50809, 54322, 57646, 51032, 54381, 51076, 52084, 59174, 63512, 50865, 54322, 65644, 69954, 76542, 51694, 51880, 53300, 65798, 50803, 51957, 58874, 63512, 50809, 54322, 58221, 65561, 51438, 52726, 51786, 51407, 72904, 52448, 55866, 51857, 70245, 63512, 50795, 54110, 59898, 66126, 52224 ]
[ 0, 250, 20902, 8, 15352, 30054, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 230, 3694, 19, 10, 155, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 6, 17407, 30, 41, 20425, 648, 2829, 2933, 6711, 6, 19, 10, 33215, 16739, 9, 381, 6, 274, 6, 381, 6, 8, 274, 401, 1328, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50634, 51841, 52903, 51315, 54484, 50997, 50894, 50906, 55492, 51026, 50882, 50861, 54856, 51040, 50882, 51028, 53917, 51027, 75556, 55381, 50916, 50894, 50968, 54952, 50997, 73485, 50882, 76898, 52369, 50951, 51352, 58375, 51315, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835, 50997, 50971, 57551, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835, 50997, 52386, 50317, 54529, 63009, 57551, 50874, 50968, 54448, 51027, 66408, 53272, 51279, 66408, 53998, 51027, 66408, 53945, 50634, 51315, 67886, 59356, 50634, 50444, 50634, 51027, 66750, 50981, 50447, 50634, 50450, 50634, 51279, 57186, 50633, 50456, 50633, 51027, 66408, 60977, 50633, 58375, 51050, 50874, 50951, 54644, 50997, 66445, 55266, 50968, 53450, 51234, 64134, 53705, 50997, 61316, 53891, 51050, 65633, 53999, 50997, 64134, 54058, 51234, 76819, 54199, 50997, 51604, 50328, 50857, 57551, 50874, 50999, 51293, 56945, 51604, 50332, 53383, 51279, 51604, 50329, 53705, 51027, 51604, 50332, 53891, 51315, 51764, 50337, 53524, 51027, 53996, 51279, 54232, 51027, 51604, 50332, 50857, 54197, 50874, 65218, 51487, 54644, 50997, 51604, 50333, 55266, 51430, 53450, 51234, 78164, 53705, 50997, 51604, 50328, 53891, 51050, 62154, 51047, 51339, 53999, 50997, 51604, 50332, 55876, 51146, 54004, 51234, 51604, 50328, 54199, 50997, 70859, 50844, 51081, 57400, 63009, 57551, 50874, 77839, 63268, 50999, 54644, 51027, 66408, 53272, 51279, 66408, 53998, 51027, 66408, 53945, 51315, 67886, 54758, 51027, 66750, 57105, 51279, 54232, 51027, 66408, 50892, 54197, 50874, 50951, 54644, 50997, 66445, 55266, 50968, 53450, 51234, 64134, 53705, 50997, 61316, 53891, 51050, 65633, 53999, 50997, 64134, 54058, 51234, 76819, 54199, 50997, 51604, 50328, 50857, 57551, 50874, 50999, 51293, 56945, 51604, 50332, 53383, 51279, 51604, 50329, 53705, 51027, 51604, 50332, 53891, 51315, 51764, 50337, 53524, 51027, 53996, 51279, 54232, 51027, 51604, 50332, 50857, 54197, 50874, 65218, 51487, 54644, 50997, 51604, 50333, 55266, 51430, 53450, 51234, 78164, 53705, 50997, 51604, 50328, 53891, 50634, 51050, 62154, 51047, 51081, 56714, 50634, 50444, 50634, 50997, 78164, 56518, 50633, 50450, 50633, 51234, 51604, 50332, 57168, 50633, 50456, 50633, 50997, 51604, 50335, 57400, 50633, 50799, 51814, 63118, 50634, 50420, 51062, 53770, 51085, 61528, 61352, 54100, 50951, 53913, 51062, 53999, 51085, 68996, 68545, 54058, 50951, 54771, 51085, 68996, 51712, 50328, 50892, 58479, 54644, 51220, 55266, 51399, 53450, 51146, 54100, 51430, 53913, 51399, 51452, 52591, 51966, 51712, 50298, 74191, 53770, 51114, 54100, 51114, 53913, 51966, 51853, 50298, 51712, 50326, 53999, 51114, 54058, 51966, 52104, 50298, 51712, 50322, 54771, 51081, 50892, 57923, 54644, 50931, 55266, 50951, 53450, 51147, 54100, 51081, 53913, 51220, 51047, 54734, 51293, 51085, 50851, 51050, 53728, 51085, 53142, 51050, 52222, 56546, 54498, 50931, 59124, 51062, 50932, 58439, 51293, 51197, 50851, 51176, 50844, 51081, 50878, 50418, 51147, 68655, 51197, 53142, 51176, 52222, 50422, 50951, 58382, 51001, 54498, 50876, 59124, 50931, 50932, 54662, 51293, 51050, 50851, 50997, 54351, 51050, 53142, 50997, 52222, 56546, 54498, 50931, 59124, 51062, 50932, 53997, 51293, 51050, 50851, 66883, 51405, 50878, 50418, 51399, 50955, 60284, 53142, 50900, 52222, 50422, 51062, 58382, 51081, 56692, 50634, 50951, 63939, 50634, 50444, 50634, 50447, 50633, 50450, 50633, 51062, 77204, 50633, 50456, 50633, 50459, 50633, 54734, 51359, 51085, 50844, 51050, 59636, 50634, 50420, 51085, 52222, 51050, 51714, 53523, 60559, 53912, 50871, 73273, 52728, 50876, 51807, 50328, 50889, 58439, 51359, 51197, 50844, 51176, 50833, 67639, 51081, 67068, 74803, 51147, 62714, 51197, 52222, 51176, 51714, 50422, 58882, 71049, 56040, 77240, 53912, 50900, 60559, 52728, 50871, 73273, 50889, 54662, 51359, 72753, 50997, 53932, 51050, 52222, 50997, 51714, 53523, 60559, 53912, 50871, 73273, 52728, 50876, 51807, 50328, 50889, 53997, 51151, 72753, 51026, 51264, 62784, 51001, 50925, 51405, 67068, 72814, 51399, 50910, 60284, 52222, 50900, 51714, 50422, 59725, 51062, 56382, 50906, 51807, 50326, 53912, 50634, 50861, 79327, 58627, 50634, 50444, 50634, 50447, 50633, 50450, 50633, 50876, 51807, 50328, 63433, 50633, 50456, 50633, 50459, 50633, 54197, 71423, 50634, 60284, 50800, 75032, 69084, 51062, 52450, 51050, 50800, 66188, 68278, 51062, 53974, 51050, 53913, 51050, 50859, 66695, 66736, 51062, 54811, 51050, 50800, 66188, 68278, 51062, 51757, 51050, 53586, 51050, 50800, 66188, 68278, 51062, 50859, 52591, 51378, 50800, 67423, 70597, 51399, 53950, 51378, 50800, 67423, 70597, 51399, 53974, 51378, 50800, 67423, 70597, 51399, 51724, 51378, 53177, 50322, 52530, 50324, 52530, 50329, 61860, 51176, 51958, 50324, 52297, 50326, 52297, 50331, 51054, 54197, 57437, 51050, 50800, 66188, 68278, 51062, 53950, 51050, 50800, 66188, 68278, 51062, 53974, 51050, 53913, 51050, 50859, 66695, 66736, 51062, 54811, 51050, 50800, 66188, 68278, 51062, 51757, 51050, 53586, 51050, 50800, 66188, 68278, 51062, 50859, 52591, 51315, 50800, 58368, 67423, 51220, 53950, 51315, 50800, 58368, 67423, 51220, 53974, 51315, 50800, 58368, 67423, 51220, 51724, 51315, 53177, 50320, 52530, 50322, 52530, 50327, 61860, 51315, 77079, 52297, 50322, 52297, 50324, 51054, 54197, 52864, 51050, 50882, 64944, 63459, 51062, 54631, 51050, 50882, 64944, 63459, 51062, 54440, 51050, 53470, 51050, 50894, 72862, 62679, 51062, 54952, 51050, 50882, 64944, 63459, 51062, 54988, 51050, 53702, 51050, 50882, 64944, 63459, 51062, 50894, 52591, 51378, 50882, 51114, 50858, 51147, 50858, 51399, 54631, 51378, 50882, 51114, 50858, 51147, 50858, 51399, 54440, 51378, 50882, 51114, 50858, 51147, 50858, 51399, 55381, 51378, 50824, 51114, 53751, 50324, 53751, 50329, 54145, 51176, 72970, 53531, 50326, 53531, 50331, 50824, 54197, 63378, 51696, 51220, 51696, 51430, 52208, 60284, 54851, 51050, 54729, 51050, 52125, 51050, 56209, 51050, 55149, 51050, 52325, 51050, 50879, 54734, 63861, 63378, 76573, 50802, 51430, 52410, 51247, 53194, 50297, 63378, 53194, 50327, 53194, 50332, 52125, 51247, 53194, 50297, 63378, 76573, 50802, 51430, 52313, 51247, 53194, 50297, 63378, 53194, 50327, 53194, 50332, 50802, 58375, 51315, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835, 50997, 50971, 57551, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835 ]
[ 0, 250, 765, 3152, 2214, 3820, 19, 1007, 8, 15073, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 6, 24, 22848, 13363, 28191, 34879, 8, 41, 9066, 5466, 6, 70, 150, 6780, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 53371, 50840, 80073, 50953, 68743, 53371, 50840, 80073, 50953, 58093, 53371, 50808, 63420, 50953, 52734, 53371, 50840, 80073, 50953, 58936, 53371, 50840, 80073, 50953, 55081, 53371, 50808, 63420, 50953, 52450, 53371, 50840, 80073, 50953, 63692, 53371, 50840, 80073, 50953, 56338, 53371, 50808, 63420, 50953, 52559, 52971, 50805, 69619, 52022, 52446, 53371, 50840, 80073, 50953, 63608, 53371, 50840, 80073, 50953, 57108, 53371, 50808, 63420, 50953, 52711, 53371, 50840, 80073, 50953, 59137, 53371, 50840, 80073, 50953, 55761, 53371, 50808, 63420, 50953, 52741, 53371, 50840, 80073, 50953, 64703, 53371, 50840, 80073, 50953, 58045, 53371, 50808, 63420, 50953, 52643, 77259, 51133, 50805, 50799, 53371, 50840, 80073, 50953, 68743, 53371, 50840, 80073, 50953, 58093, 53371, 50808, 63420, 50953, 52734, 53371, 50840, 80073, 50953, 58936, 53371, 50840, 80073, 50953, 55081, 53371, 50808, 63420, 50953, 52450, 53371, 50840, 80073, 50953, 63692, 53371, 50840, 80073, 50953, 56338, 53371, 50808, 63420, 50953, 52559, 52971, 50805, 69619, 52022, 52446, 53371, 50840, 80073, 50953, 63608, 53371, 50840, 80073, 50953, 57108, 53371, 50808, 63420, 50953, 52711, 53371, 50840, 80073, 50953, 59137, 53371, 50840, 80073, 50953, 55761, 53371, 50808, 63420, 50953, 52741, 53371, 50840, 80073, 50953, 64703, 53371, 50840, 80073, 50953, 58045, 53371, 50808, 63420, 50953, 52643, 77259, 51133, 50805, 50799, 53371, 50840, 50953, 74072, 68743, 53371, 50840, 50953, 50381, 53823, 58093, 53371, 50840, 50953, 50381, 54936, 60400, 53371, 50840, 50953, 75072, 54507, 52971, 50805, 69619, 52022, 52504, 55064, 58936, 51224, 52483, 53371, 50840, 50953, 63692, 53371, 50840, 50953, 50381, 53823, 56338, 53371, 50840, 50953, 50381, 54936, 59955, 53371, 50840, 50953, 75072, 53810, 77259, 51133, 64588, 52446, 53371, 50840, 50953, 74072, 63608, 53371, 50840, 50953, 50381, 53823, 57108, 53371, 50840, 50953, 50381, 54936, 59503, 53371, 50840, 50953, 75072, 54400, 52971, 50805, 69619, 52022, 52504, 55152, 52596, 53371, 50840, 50953, 74072, 64703, 53371, 50840, 50953, 50381, 53823, 58045, 53371, 50840, 50953, 50381, 54936, 61519, 53371, 50840, 50953, 75072, 54166, 77259, 51133, 52504, 56151, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 69679, 51186, 67433, 53848, 77500, 61663, 51133, 67433, 50808, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 69679, 51186, 67433, 53848, 77500, 61663, 51133, 50808, 52018, 67433, 50808, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 69679, 51186, 67433, 53848, 77500, 61663, 51133, 67433, 50808, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 66045, 52022, 67433, 53848, 77500, 61663, 51133, 67433, 50808, 50799, 53371, 50840, 78964, 68743, 53371, 50840, 50953, 52411, 58093, 53371, 50840, 78964, 60400, 53371, 50840, 50953, 52411, 54507, 52971, 50805, 69619, 52022, 64588, 52483, 53371, 50840, 78964, 63692, 53371, 50840, 50953, 52411, 56338, 53371, 50840, 78964, 59955, 53371, 50840, 50953, 52411, 53810, 77259, 51133, 52504, 55152, 52446, 53371, 50840, 78964, 63608, 53371, 50840, 50953, 52411, 57108, 53371, 50840, 78964, 59503, 53371, 50840, 50953, 52411, 54400, 52971, 50805, 69619, 52022, 64588, 52596, 53371, 50840, 78964, 64703, 53371, 50840, 50953, 52411, 58045, 53371, 50840, 78964, 61519, 53371, 50840, 50953, 52411, 54166, 77259, 51133, 52504, 69672, 50799, 53371, 50808, 50953, 54275, 53371, 50808, 50953, 52734, 53371, 50808, 50953, 53184, 53371, 50808, 50953, 52450, 53371, 50808, 50953, 53847, 53371, 50808, 50953, 52559, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 53263, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 52599, 53371, 50808, 50953, 54134, 53371, 50808, 50953, 52711, 53371, 50808, 50953, 53668, 53371, 50808, 50953, 52741, 53371, 50808, 50953, 53987, 53371, 50808, 50953, 52643, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 53848, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 50808, 50799, 53371, 50808, 50953, 52423, 60770, 53371, 50808, 50953, 52734, 53371, 50808, 50953, 52704, 57572, 53371, 50808, 50953, 52450, 53371, 50808, 50953, 52423, 58983, 53371, 50808, 50953, 52559, 74613 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 15073, 6, 3185, 30, 10, 13305, 14, 1974, 149, 10, 33215, 16739, 9, 230, 6, 274, 6, 272, 6, 230, 6, 8, 1918, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 6780, 10, 1769, 20889, 6, 24, 7630, 6568, 8597, 9, 657, 8, 115, 2905, 1807, 25, 10, 12365, 19834, 13, 10, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50906, 52266, 50902, 51933, 50997, 51264, 50871, 51264, 50450, 50931, 51090, 54960, 52266, 51027, 51264, 50871, 51264, 50451, 50906, 50911, 50457, 50877, 50911, 51601, 51026, 51264, 50899, 51264, 50871, 52017, 50906, 51655, 51601, 50899, 51551, 50871, 51336, 51085, 51264, 50997, 51264, 50440, 50916, 51551, 50861, 51336, 51809, 50861, 52370, 50297, 51538, 50900, 52024, 50422, 50877, 50911, 50428, 50861, 50911, 50434, 50877, 56082, 50452, 51050, 50889, 51809, 51050, 51264, 50453, 50861, 70891, 50877, 50911, 52177, 50871, 72341, 53177, 50297, 51141, 50899, 51141, 50429, 50906, 70538, 50861, 69797, 53177, 50297, 51141, 50916, 51141, 78202, 70087, 50871, 51655, 50877, 52017, 51050, 53363, 50900, 53363, 50796, 50454, 50877, 50911, 50460, 50861, 50911, 52478, 50871, 52266, 50997, 51264, 50899, 51264, 50454, 50871, 51090, 52478, 50916, 51364, 50861, 51496, 50900, 51077, 50436, 50871, 50911, 50443, 50916, 56135, 52370, 50292, 51077, 50449, 50871, 50911, 50455, 50916, 66677, 51090, 53069, 50871, 51336, 50877, 51551, 51050, 52024, 50900, 52024, 50443, 50916, 56135, 50911, 50449, 50871, 70866, 51090, 50461, 50861, 57952, 50911, 53069, 50871, 51336, 50877, 51551, 50456, 50877, 50911, 54960, 57487, 50902, 53177, 50297, 51264, 50900, 51264, 50871, 56300, 63174, 56810, 50877, 51496, 50456, 50877, 52017, 52591, 51120, 50889, 50433, 51027, 50889, 50445, 50916, 50889, 50457, 50877, 77506, 50889, 51601, 50902, 50911, 50421, 50876, 53177, 50301, 51264, 50916, 51264, 50877, 51655, 50433, 50902, 69018, 50876, 51496, 50457, 50906, 51090, 55753, 50900, 51077, 50916, 74114, 52266, 50446, 51027, 51077, 50458, 50861, 51090, 56020, 50871, 53241, 51026, 51264, 50997, 51264, 50899, 51655, 51809, 50871, 78443, 50902, 53177, 50302, 51264, 50899, 51264, 50871, 51655, 50435, 50877, 70692, 50906, 51496, 50459, 50876, 51090, 57731, 50871, 51264, 50900, 53090, 50861, 53002, 50876, 53601, 57731, 50916, 51077, 50448, 51085, 51077, 60212, 50861, 52370, 50297, 51538, 50900, 53090, 50430, 50877, 50911, 50436, 50861, 50911, 50442, 50877, 56082, 50460, 51050, 50889, 60212, 51050, 51077, 50449, 50900, 51077, 50461, 50861, 50911, 53069, 50877, 50911, 50425, 50871, 72341, 53177, 50297, 51141, 50899, 51141, 50437, 50906, 50911, 50443, 50861, 69797, 53177, 50297, 51141, 50916, 51141, 50455, 50876, 50911, 50461, 50871, 51655, 50877, 52017, 51050, 53363, 50900, 53363, 50796, 54852, 50911, 55902, 56346, 51234, 51077, 50899, 51933, 50871, 52266, 51050, 51264, 50450, 51234, 51077, 54206, 68669, 51090, 56248, 51364, 50861, 51496, 51085, 51077, 51026, 51264, 50445, 50861, 75477, 50861, 51427, 51085, 51077, 50460, 50871, 51427, 55753, 50876, 50911, 73343, 51336, 50877, 51551, 51050, 51264, 50900, 51264, 50451, 50916, 56135, 50911, 50457, 50871, 70866, 51090, 56020, 50861, 57952, 50911, 50428, 51050, 59428, 51336, 50877, 51551, 50440, 50900, 50889, 50452, 50871, 50889, 51809, 50877, 70110, 50889, 68225, 50911, 50428, 50902, 53177, 50306, 75427, 56300, 50440, 50877, 50911, 78933, 51496, 50452, 51027, 51077, 52177, 50877, 52017, 50429, 51120, 67480, 51027, 63433, 50916, 50889, 52177, 50899, 61471, 74450, 50876, 53177, 50313, 51336, 51027, 51264, 50916, 51264, 50441, 50902, 75476, 50876, 51090, 50459, 50906, 50911, 52177, 50877, 52266, 50429, 50900, 51077, 50916, 51077, 50454, 51027, 51077, 52478, 50877, 50911, 50424, 50861, 50911, 74413, 52282, 51026, 51264, 50997, 51264, 50899, 51655, 50460, 50871, 50911, 52478, 50871, 51090, 50431, 50906, 53177, 50302, 51077, 50899, 51264, 50871, 51655, 50443, 50877, 50911, 50449, 50906, 51496, 50455, 50997, 51077, 53069, 50876, 51090, 50431, 50900, 75427, 51077, 50861, 51655, 50876, 52017, 50455, 50900, 50889, 53069, 50871, 55112, 50900, 51077, 50916, 66336, 50999, 56210, 50876, 52297, 50323, 53177, 50301, 75427, 51077, 52591, 50931, 56346, 50906, 54454, 50902, 55362, 71288, 75427, 51264, 50456, 50997, 51077, 50796, 50433, 50900, 51077, 50916, 51077, 50876, 51336, 50451, 50999, 50911, 50457, 50951, 53177, 50292, 51077, 55753, 50931, 79847, 50902, 51496, 50877, 54454, 50433, 51050, 51538, 50445, 50876, 52266, 56020, 50900, 50889, 50434, 50871, 50889, 68121, 50889, 50452, 50999, 50911, 50458, 51027, 58835, 52297, 50323, 51090, 56020, 50931, 52370, 50304, 50889, 50428, 50902, 51090, 71626, 75427, 51264, 50440, 50906, 50911, 50446, 50902, 50911, 50452, 50906, 70891, 50902, 53177, 50302, 51077, 57731, 50931, 68350, 50968, 51496, 50435, 50900, 51077, 79721, 50447, 50902, 65614, 70087, 50968, 51364, 50951, 51496, 50459, 51085, 51077, 57731, 50876, 52297, 50320, 51090, 50435, 50906, 73988, 53177, 50297, 51077, 50447, 50877, 51655, 50876, 52017, 50459, 50900, 50889, 57731, 50861, 50889, 50436, 50871, 51141, 50454, 50900, 50805, 50460, 50871, 78599, 51090, 60212, 50916, 51608, 50328, 51090, 50436, 50931, 78599, 52297, 50330, 53177, 50306, 51538, 50448, 50931, 72386, 50911, 50454, 50931, 52297, 50325, 51090, 52478, 50931, 52392, 50999, 53241, 50424, 51027, 50889, 50437, 50899, 50889, 50449, 50877, 50889, 50461, 50968, 50889, 59412, 50902, 62931, 52297, 50330, 51090, 50437, 50968, 52297, 50328, 53177, 50301, 51264, 50916, 51264, 50449, 50931, 51442, 50330, 50911, 50455, 50968, 51364, 51062, 51496, 55746, 50902, 52297, 50326, 63418, 51027, 51077, 50876, 51933, 50999, 52266, 50916, 51264, 56310, 67297, 50951, 56087, 50931, 51090, 62322, 51264, 50997, 51264, 50899, 51655, 50444, 50902, 56160, 50931, 56210, 50902, 50911, 56229, 51090, 50427, 50999, 50911, 50433, 50951, 51496, 50439, 51085, 51264, 50997, 51264, 50451, 50931, 50911, 50457, 50931, 51090, 55753, 50968, 51496, 50439, 51050, 51538, 50900, 51538, 50877, 51655, 50931, 52017, 75695, 51050, 50889, 50440, 50906, 52370, 50297, 51141, 50899, 51141, 76495, 50911, 50452, 50906, 50911, 50458, 51050, 51141, 50916, 51141, 50876, 51496, 75695, 51050, 62525, 58419, 51090, 50440, 51050, 51538, 50900, 51538, 50877, 52017, 79254, 51050, 67480, 50906, 52370, 50297, 51141, 50899, 51141, 50447, 50906, 70087, 50906, 70891, 51050, 51141, 50916, 51141, 50876, 51496, 79254, 51050, 62525, 58419, 51090, 50441, 50861, 52370, 50297, 51538, 50900, 53090, 50447, 50877, 70087, 50861, 70891, 50877, 56082, 79254, 51050, 50889, 50442, 51050, 51077, 52478, 50900, 51077, 79580, 50911, 50436, 50877, 50911, 50442, 50871, 72341, 53177, 50297, 51141, 50899, 51141, 50454, 50906, 50911, 50460, 50861, 69797, 53177, 50297, 51141, 50916, 51141, 60212, 50876, 50911, 50431, 50871, 51655, 50877, 52017, 51050, 53363, 50900, 53363, 77033, 50877, 50911, 50437, 50861, 50911, 50443, 51234, 51077, 50899, 51933, 50871, 52266, 51050, 51264, 53069, 51234, 51077, 58296, 68669, 63437, 50916, 51364, 50861, 51496, 51085, 51077, 51026, 51264, 54594, 50911, 55902, 51427, 51085, 51077, 78414, 51427, 62204, 56646, 50871, 51336, 50877, 51551, 51050, 51264, 50900, 51264, 55753, 50916, 56135, 50911, 73343, 70866, 51090, 79807, 57952, 75819, 51050, 59428, 51336, 50877, 51551, 50457, 50900, 50889, 55753, 50871, 50889, 50433, 50877, 70110, 50889, 74933, 75819, 50902, 53177, 50306, 75427, 56300, 50458, 50877, 50911, 51809, 50877, 51496, 50422, 51027, 51077, 50434, 50877, 52017, 50446, 51120, 50889, 50458, 51027, 50889, 56020, 50916, 50889, 50434, 50899, 61471, 51090, 78202 ]
[ 0, 250, 15352, 30054, 3495, 1011, 625, 11509, 657, 8, 26545, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 4246, 10, 33215, 16739, 9, 274, 119, 1176, 406, 6, 274, 406, 6, 8, 211, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 51809, 50989, 50914, 55898, 51411, 51050, 51806, 51234, 52845, 50301, 52212, 50861, 52212, 50461, 50902, 52460, 56229, 55002, 50422, 51339, 52188, 50431, 51814, 50928, 52912, 51742, 52956, 52168, 50456, 50877, 51194, 55694, 65290, 51234, 52378, 50424, 51026, 52482, 50861, 51337, 51040, 51965, 50425, 50916, 51878, 50443, 51028, 70103, 52845, 50320, 51333, 50454, 51399, 62356, 51487, 52256, 51430, 53674, 53069, 53684, 51954, 50347, 56515, 50420, 55226, 57820, 56020, 50877, 51110, 50428, 50906, 60733, 51085, 51627, 50436, 51026, 51627, 50437, 68930, 50956, 52015, 62335, 54573, 52591, 50877, 51233, 60564, 51008, 50427, 50997, 50984, 50433, 51085, 51642, 50956, 51484, 50861, 50995, 50439, 51026, 51253, 66626, 50995, 50448, 50997, 52188, 50452, 50956, 50981, 50457, 50861, 51277, 50459, 50997, 51079, 51601, 57634, 50419, 50906, 59768, 50973, 51097, 50425, 51050, 51381, 50430, 51027, 51330, 69374, 51806, 57019, 51330, 50442, 50877, 54344, 50445, 50876, 51576, 50449, 50931, 51199, 50452, 50999, 56374, 50454, 51062, 52256, 50458, 51339, 53866, 52177, 52956, 51447, 50420, 55738, 52147, 50452, 51028, 65841, 51234, 51627, 51809, 50902, 51535, 51050, 52015, 50417, 50899, 52140, 50877, 51662, 50871, 52222, 50437, 50899, 52263, 50442, 51050, 51637, 50447, 51027, 51466, 50452, 74876, 50456, 67104, 50459, 50877, 52011, 51601, 50902, 51806, 50418, 50931, 51878, 50421, 50999, 52598, 50431, 51027, 52011, 50437, 51001, 51380, 50449, 51234, 51852, 50451, 51026, 51576, 50906, 51380, 50871, 53164, 50318, 51466, 50452, 50861, 51381, 51601, 51026, 51376, 50416, 50871, 53697, 50418, 50861, 52056, 50424, 50931, 51481, 50427, 50951, 51753, 50430, 51081, 51697, 50433, 51339, 51174, 50435, 51487, 51884, 50437, 52052, 51166, 50441, 52956, 51142, 55538, 50866, 50443, 59987, 51314, 50445, 71194, 51145, 52478, 51001, 71818, 62389, 50424, 51234, 51534, 50429, 50906, 51177, 50902, 51194, 50871, 51351, 50997, 51134, 50436, 50871, 51337, 50442, 51027, 72317, 51121, 50447, 51001, 67509, 50931, 64225, 51234, 65817, 50902, 51177, 50457, 50965, 51121, 58526, 51377, 50418, 50965, 51203, 63715, 50805, 73343, 63552, 78950, 51040, 57959, 51028, 68854, 61169, 51001, 50942, 50440, 50931, 54434, 51214, 51212, 50951, 56508, 51120, 51448, 50455, 51026, 52441, 50461, 51086, 51709, 75417, 54578, 51806, 56978, 51074, 50428, 51086, 50835, 50973, 63751, 55028, 59663, 50434, 51086, 51255, 74933, 50892, 64118, 73951, 50877, 61902, 53535, 50321, 57712, 78983, 51120, 51645, 50461, 51027, 50908, 53069, 50997, 52256, 57340, 51961, 50899, 51318, 50871, 51637, 50427, 51214, 51703, 50434, 51120, 57032, 50448, 51026, 77765, 50906, 57059, 51085, 50932, 56178, 51534, 50415, 50997, 52482, 50416, 50861, 51884, 50417, 50906, 52059, 51001, 51337, 50436, 51247, 56374, 50437, 50989, 51637, 51027, 51965, 51085, 53280, 50956, 51878, 63451, 52528, 50900, 52140, 57731, 51050, 50941, 72513, 53810, 51026, 50892, 50437, 68622, 50902, 66782, 51194, 50906, 51233, 62275, 51309, 50443, 51026, 63956, 50956, 50942, 50902, 51337, 78434, 50906, 50995, 50457, 50956, 73562, 50861, 50825, 51809, 50906, 51365, 58973, 61880, 51050, 60184, 50931, 51391, 50428, 51027, 51381, 50432, 51040, 50995, 50437, 50877, 51738, 50439, 51028, 51852, 50444, 50931, 51697, 50448, 50999, 52134, 50453, 51399, 52518, 50459, 51339, 50870, 51809, 51050, 51079, 50421, 51234, 51333, 50423, 50931, 51199, 50429, 51050, 51481, 50434, 51027, 51166, 50440, 50899, 50943, 50445, 74436, 50451, 50877, 65267, 51085, 51254, 51601, 51247, 52048, 50417, 51050, 52256, 50418, 51040, 51878, 51027, 54532, 50871, 51447, 74769, 52048, 50439, 51050, 51008, 50445, 50989, 50866, 50451, 51247, 76172, 53492, 52169, 50290, 51254, 50458, 50997, 51481, 50861, 63030, 51419, 50796, 50430, 50951, 67904, 64205, 51234, 51142, 50436, 51026, 56755, 51487, 63397, 51146, 56918, 50899, 50837, 53975, 51524, 50421, 51234, 52460, 50427, 57810, 50433, 50906, 56755, 51234, 51328, 51040, 51177, 51026, 51337, 50997, 51363, 50442, 50916, 51535, 50861, 51419, 50455, 50906, 59821, 58540, 67886, 74826, 51749, 50426, 51399, 51283, 51430, 51283, 51081, 52263, 51487, 51878, 50433, 51026, 51878, 50452, 51026, 63316, 57634, 51809, 50906, 50829, 52206, 51134, 50423, 50956, 51241, 51085, 51148, 50424, 50997, 51183, 72684, 50436, 50997, 51283, 50443, 51085, 51542, 60027, 53096, 50456, 63156, 51809, 52206, 51576, 51085, 52845, 50304, 51679, 50861, 51749, 50429, 50900, 51380, 50436, 51085, 51177, 50441, 50877, 69352, 50906, 61230, 51247, 51391, 50454, 51050, 51330, 50455, 50973, 51312, 50871, 59783, 51312, 53069, 50871, 51056, 50876, 51351, 50877, 51351, 50427, 51027, 50981, 56014, 51423, 69332, 57013, 50871, 61081, 50871, 51212, 50458, 57634, 51809, 51028, 60209, 50871, 51319, 50422, 51050, 50932, 78312, 51363, 50902, 51480, 50899, 58421, 51480, 50436, 51234, 52136, 50447, 51146, 51679, 50455, 51050, 51199, 51814, 51419, 52357, 51241, 52591, 51487, 51644, 50338, 51233, 50428, 50997, 66090, 50899, 51172, 50447, 50871, 59835, 51001, 56573, 50931, 59789, 51234, 50932, 52478, 50871, 63785, 51337, 50419, 51027, 52263, 75474, 50439, 50999, 52026, 50328, 52136, 50452, 51487, 51753, 52052, 51637, 50459, 51027, 52212, 50796, 50430, 51027, 51645, 50435, 51001, 50942, 50441, 61196, 51234, 50932, 50448, 50871, 51109, 50902, 62163, 51535, 50997, 52598, 50461, 50871, 51043, 52478, 51027, 51852, 57340, 75584, 51001, 50959, 50431, 50931, 52019, 50290, 51542, 50438, 50965, 51025, 51176, 51391, 50902, 72499, 50965, 59697, 50899, 50858, 51601, 50902, 54718, 51001, 58745, 51120, 50955, 50428, 50973, 62271, 51121, 68622, 51214, 51242, 51001, 51797, 50433, 51001, 52722, 50442, 51120, 52263, 50449, 51026, 51679, 50461, 50973, 77149, 50959, 54578, 51542, 50861, 51097, 50421, 51026, 52519, 50437, 51120, 76772, 50900, 66875, 61800, 51050, 51328, 50455, 51234, 51008, 62927, 70178, 50871, 52434, 50321, 51255, 53069, 50871, 51562, 50997, 51397, 50899, 51127, 50877, 51397, 50427, 51214, 51627, 50432, 51120, 51679, 50439, 51026, 55584, 50446, 68070, 50871, 51481, 50899, 51535, 52177, 51120, 54252, 50906, 73047, 57860, 51085, 51411, 50436, 50956, 51008, 50997, 51051, 51001, 50933, 50906, 64716, 51058, 50457, 51027, 74128, 52263, 50989, 51627, 50900, 51680, 51247, 52783, 55753, 51027, 52598, 50429, 51050, 53674, 50440, 50900, 52059, 50447, 51050, 53922, 50861, 56249, 51085, 51043, 52177, 50902, 51177, 69391, 50956, 71665, 51043, 50418, 50997, 51381, 50429, 68622, 50906, 60582, 51194, 50956, 51194, 50436, 50997, 54181, 50956, 63773, 64871, 50446, 60834, 50449, 50902, 53886, 51050, 51797, 50451, 51027, 51381, 50454, 51040, 51134, 50456, 51028, 51294, 50877, 51291, 50931, 51446, 52591, 69541, 61104, 59628, 50877, 60553, 53415, 51234, 51337, 69375, 51642, 50445, 50931, 59258, 51115, 78872, 71698, 50906, 51314, 50457, 50871, 52441, 51601, 51027, 51423, 63714, 70134, 51234, 51097, 50433, 51050, 51517, 50300, 51448, 50434, 50965, 51535, 50899, 51535, 50871, 51749, 64118, 51134, 50453, 51176, 51177, 50458, 69505, 51601, 51197, 51642, 50416, 51026, 51097, 50417, 50997, 51965, 50419, 50899, 55002, 50422, 50989, 50983, 50423, 50861, 50918, 50434, 51028, 51204, 50902, 51362, 50441, 50899, 50995, 50446, 72421, 50902, 51148, 50452, 50899 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 8, 2003, 38704, 31365, 25999, 6, 7630, 14805, 10, 2933, 8, 25306, 5466, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 6, 19, 5, 40286, 163, 43531, 6, 12608, 401, 6, 8, 2060, 442, 12577, 4961, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 57497, 62244, 51142, 51147, 50959, 50418, 50906, 75570, 51028, 57104, 51176, 51712, 50305, 59704, 64213, 75343, 51147, 51006, 50434, 50965, 58946, 51360, 62244, 53131, 50325, 50959, 50442, 50877, 51006, 50446, 51028, 57299, 51040, 59704, 64213, 51006, 50454, 50999, 51006, 50458, 65997, 62368, 51644, 50298, 78809, 53131, 50326, 50959, 50418, 50906, 75570, 50902, 57104, 51378, 70276, 73273, 75343, 51081, 51006, 50434, 50906, 58946, 51378, 73658, 73507, 50822, 51081, 71303, 51197, 51423, 50449, 51378, 51328, 62291, 66199, 63422, 51712, 50322, 50901, 58526, 51644, 50305, 60236, 64651, 50830, 73955, 50418, 51081, 50987, 50422, 51147, 58192, 51114, 50987, 50430, 50931, 78778, 51001, 60676, 51028, 51058, 50442, 50876, 51058, 76495, 57299, 51176, 75138, 59316, 51174, 75312, 51254, 50458, 75105, 75697, 64240, 50293, 51697, 50418, 50871, 51376, 50422, 50965, 51376, 70562, 52858, 50305, 52858, 50309, 52104, 50317, 51376, 50430, 50931, 51376, 50434, 50871, 58604, 51360, 51074, 50442, 50871, 51376, 50446, 50965, 73380, 51176, 52858, 50305, 52858, 50309, 52104, 50317, 51376, 50454, 50931, 51376, 50458, 70795, 50799, 56381, 51077, 51176, 51447, 50418, 50871, 51376, 50422, 50965, 74907, 51360, 51490, 51028, 51376, 50430, 50931, 51254, 50434, 50871, 54584, 57721, 51141, 51027, 51314, 50442, 56963, 78933, 58175, 51360, 64307, 68243, 50931, 63321, 61522, 50799, 57721, 51103, 51966, 51519, 50298, 50879, 50418, 50906, 50987, 50422, 50902, 58192, 51378, 70276, 73273, 50987, 50430, 51081, 78778, 50906, 52691, 59378, 51588, 50298, 73658, 73507, 50822, 51081, 56888, 55910, 53886, 59378, 51110, 51197, 52858, 50302, 52858, 50307, 52104, 50310, 76382, 52858, 50322, 79088, 55329, 50836, 50799, 56381, 51204, 51503, 52511, 50300, 50972, 50418, 68274, 50422, 50965, 64586, 51176, 52858, 50309, 78502, 52858, 50317, 51079, 50430, 55291, 59662, 56381, 52841, 55329, 51141, 51503, 52858, 50300, 50972, 50442, 50989, 70270, 50965, 62911, 51176, 52858, 50307, 52104, 50310, 52858, 50316, 59111, 56381, 50849, 50799, 56381, 51486, 51360, 51079, 50418, 50871, 51376, 50422, 50965, 51376, 70562, 52858, 50305, 52858, 50309, 52104, 50317, 51376, 50430, 50931, 51376, 50434, 51147, 71113, 51503, 52858, 50300, 51853, 50322, 51269, 51081, 57764, 50876, 51123, 51001, 54823, 51176, 52858, 50304, 52858, 50307, 52858, 50310, 52104, 50322, 53096, 51081, 51852, 50459, 51114, 51123, 51147, 50912, 50799, 57721, 51295, 51360, 53126, 50305, 78504, 51051, 51147, 51210, 50418, 50965, 51376, 50422, 51028, 51376, 61104, 59977, 50309, 59977, 50312, 74056, 51376, 50430, 51147, 51376, 50434, 50965, 58604, 57721, 51115, 51324, 53126, 50303, 51330, 50442, 50965, 51376, 50446, 51001, 73380, 51086, 51269, 50956, 54731, 50309, 50907, 50931, 51376, 50454, 51147, 51376, 50458, 50965, 51123, 50799, 62366, 51742, 51234, 53126, 50302, 51330, 80121, 51376, 50422, 50931, 51376, 56759, 59977, 50306, 59977, 50309, 52216, 50324, 51376, 50430, 50931, 51376, 50434, 51028, 71113, 52046, 52858, 50295, 73275, 51269, 51114, 54731, 50331, 57764, 60827, 54185, 57721, 50822, 51197, 52858, 50302, 77081, 52858, 50310, 51079, 50454, 59378, 63105, 55329, 50822, 50799, 56381, 51391, 51503, 52511, 50300, 50972, 50418, 68274, 50422, 50965, 64586, 51176, 52858, 50309, 78502, 52858, 50317, 51079, 50430, 55291, 59909, 56381, 52691, 59378, 51448, 51503, 52858, 50300, 50972, 50442, 50989, 70270, 50965, 62911, 51176, 52858, 50307, 52104, 50310, 52858, 50316, 79088, 59441, 50822, 50799, 59441, 51145, 51360, 51079, 50418, 50871, 51862, 50422, 50965, 51862, 70562, 52858, 50305, 75598, 51862, 50931, 52025, 74413, 52192, 50434, 50965, 52192, 50438, 51360, 52216, 50319, 51862, 51001, 52025, 50442, 50871, 52192, 50446, 50965, 52192, 50450, 51176, 52858, 50305, 52104, 50317, 51862, 51028, 52025, 50454, 50871, 52192, 50458, 50965, 52192, 50799, 55297, 51741, 50288, 52147, 51176, 51447, 50876, 52167, 79251, 52192, 50422, 50956, 52192, 50426, 55297, 51412, 50965, 52192, 79471, 52192, 69374, 52167, 50435, 55297, 54077, 55329, 51312, 51214, 54590, 50299, 51330, 77025, 52192, 50446, 50916, 52192, 50450, 61092, 51412, 51085, 77418, 52192, 50454, 50916, 52192, 50458, 50900, 52167, 50459, 61092, 50867, 50799, 56381, 51310, 51247, 55036, 50297, 51333, 79251, 52192, 63714, 52192, 62144, 52192, 74413, 52192, 50432, 55329, 50978, 69374, 52167, 50438, 55297, 51145, 51050, 51490, 77025, 52192, 72785, 52192, 50450, 50965, 52192, 50454, 50871, 52192, 50458, 50900, 52167, 50799, 59378, 51741, 50295, 52011, 50418, 50956, 52192, 50422, 50965, 52192, 50426, 59378, 51412, 50876, 52192, 50430, 50965, 52192, 50434, 50956, 52167, 50435, 59378, 54077, 59441, 51233, 52046, 53126, 50295, 75865, 73336, 53126, 50317, 51108, 50447, 55291, 54185, 56381, 51337, 50459, 55329, 50867, 50799, 55297, 51662, 51503, 51703, 51176, 51314, 50418, 50956, 51376, 50422, 50965, 51376, 56546, 51376, 50430, 50965, 51376, 50434, 50956, 58604, 51966, 52212, 51378, 51314, 64041, 50442, 50906, 70270, 50916, 62911, 64041, 50454, 50906, 77219, 55297, 78450, 65471, 50799, 57721, 51310, 51247, 53126, 50297, 51108, 50418, 50871, 51376, 50422, 50877, 74907, 50931, 51376, 50430, 50877, 76103, 59378, 70139, 50871, 58604, 59378, 51312, 51234, 53126, 50302, 51108, 50442, 50871, 51376, 50446, 50965, 73380, 55910, 51412, 50902, 51376, 50454, 50965, 51376, 50458, 70795, 50459, 55910, 50867, 50799, 59378, 51310, 52046, 53126, 50295, 51108, 50418, 50956, 51376, 64309, 74907, 51028, 51376, 79580, 76103, 59441, 79624, 50956, 58604, 55297, 51312, 51503, 53126, 50300, 51108, 50442, 50956, 70270, 50965, 51524, 50876, 65743, 55329, 51412, 51234, 53126, 50302, 51330, 50454, 68274, 50458, 50871, 51524, 76075, 50459, 55329, 50867, 50799, 56381, 51619, 50292, 55002, 51050, 55002, 51176, 52519, 79251, 52731, 63714, 52167, 50426, 56381, 51312, 50871, 53693, 50312, 67458, 55291, 51448, 52206, 53801, 51085, 52212, 50442, 50997, 52731, 50446, 50916, 61013, 50997, 53693, 50307, 53693, 50311, 51432, 50459, 55291, 50867, 50799, 54833, 51662, 51247, 61653, 51050, 54573, 50418, 51176, 54887, 63686, 54887, 53645, 54887, 78313, 54887, 50434, 50871, 54887, 50438, 50965, 54887, 50442, 50871, 54071, 50446, 50965, 52731, 50450, 50876, 51824, 50454, 50965, 51470, 50458, 64041, 50799, 57721, 51527, 52759, 51644, 50293, 50873, 50418, 50871, 75570, 50965, 57104, 51176, 51712, 50305, 59704, 68250, 75343, 50931, 51006, 50434, 50871, 58946, 57721, 51527, 51360, 50845, 50442, 50871, 51006, 78933, 57299, 51027, 51712, 50305, 59704, 68250, 51006, 50454, 50931, 51006, 50458, 63006, 50799, 57721, 51356, 51966, 51644, 50298, 50873, 50418, 50906, 75570, 50902, 57104, 51378, 70276, 73273, 75343, 51081, 51006, 50434, 50906, 56480, 59378, 51710, 50298, 50827, 71430, 51001, 52169, 50326, 60785, 55910, 54755, 59378, 51167, 51197, 51712, 50302, 67736, 66199, 63422, 51712, 50322, 62533, 55329, 50890, 50799, 56381, 51541, 51503, 51644, 50300, 50873, 50418, 50871, 50987, 50422, 50965, 57818, 51176, 59704, 63328, 71277, 50901, 50430, 55291, 60661, 56381, 54362, 55329, 51274, 51503, 51644, 50300, 50901, 50442, 50989, 50987, 50446, 50965, 53140, 51176, 67736, 66199, 58722, 55670, 56381, 50893, 50799, 56381, 51941, 51360, 50805, 50418, 50871, 50937, 50422 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2125, 4246, 10, 13305, 6, 2351, 10, 19448, 5466, 19, 17878, 9, 15073, 8, 23975, 1825, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 38451, 3938, 20889, 1328, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 54437, 70939, 50896, 51660, 63415, 53765, 53369, 70939, 70295, 78119, 53585, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 50450, 53722, 57024, 51660, 50806, 51434, 50806, 51607, 50806, 50799, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55419, 53722, 50806, 51614, 50806, 51808, 52247, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55224, 53369, 50806, 51440, 50806, 51669, 52322, 52769, 70939, 75949, 52043, 54526, 52769, 50896, 52745, 75949, 51669, 50896, 66629, 70939, 75949, 52043, 53765, 52806, 70939, 70295, 66662, 53585, 53369, 70939, 70295, 78119, 54526, 53722, 70939, 78119, 50896, 52327, 50896, 78940, 70939, 75949, 52043, 53765, 52769, 50896, 52745, 70295, 50896, 51669, 53585, 54437, 51196, 51774, 51196, 51660, 51196, 51607, 51196, 50799, 54437, 70939, 50896, 51660, 63415, 53765, 53369, 70939, 70295, 78119, 53585, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 50450, 53722, 57024, 51660, 50806, 51434, 50806, 51607, 50806, 50799, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55419, 53722, 50806, 51614, 50806, 51808, 52247, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55224, 53369, 50806, 51440, 50806, 51669, 52322, 52769, 70939, 75949, 52043, 54526, 52769, 50896, 52745, 75949, 51669, 50896, 66629, 70939, 75949, 52043, 53765, 52806, 70939, 78119, 50896, 52327, 53585, 55243, 70939, 75949, 52257, 54526, 51614, 50806, 52327, 50806, 53369, 78119, 57024, 51515, 50806, 51669, 50806, 78940, 50896, 51660, 63415, 66662, 53765, 52769, 50896, 51614, 75949, 51808, 53585, 54437, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 78940, 51274, 51515, 51274, 51808, 51274, 51669, 72107, 52769, 50806, 51660, 50806, 51607, 50806, 52043, 52322, 52769, 50806, 51614, 50896, 51669, 50896, 52327, 55451, 52806, 52610, 52745, 50896, 51614, 75949, 51669, 50896, 66629, 51274, 51434, 51274, 51607, 51274, 52043, 72107, 52769, 50806, 51434, 50806, 51669, 50806, 52327, 52322, 51774, 50806, 52043, 50806, 51434, 50896, 52257, 55451, 51614, 50806, 51669, 52610, 51660, 63415, 66662, 50896, 52043, 50896, 67548, 51274, 51434, 51274, 51607, 51274, 52257, 72107, 51660, 50806, 51434, 50806, 51607, 50806, 52257, 52322, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52692, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 52610, 52745, 50806, 51434, 50806, 51434, 50806, 51669, 52931, 52806, 50806, 51434, 50806, 51607, 50806, 51607, 50806, 76056, 50896, 51808, 50896, 52769, 51469, 52257, 51469, 50426, 52745, 50806, 51434, 52309, 51614, 50806, 51808, 52322, 51515, 51196, 51669, 51196, 67548, 51274, 51434, 51274, 51607, 51274, 52257, 72107, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52322, 51434, 50806, 52043, 50806, 51774, 66662, 55451, 51660, 50806, 52257, 52610, 51614, 50806, 52327, 50806, 53369, 78119, 57024, 51515, 50806, 51669, 50806, 78940, 50896, 51660, 63415, 66662, 53765, 51614, 50806, 52769, 75949, 51808, 55224, 51515, 52322, 54437, 51196, 51774, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 55746, 54437, 70939, 50896, 51660, 63415, 53585, 53369, 70939, 70295, 78119, 54526, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 71862, 55419, 51660, 50806, 51434, 50806, 51607, 52247, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55224, 53722, 50806, 51614, 50806, 51808, 52322, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55451, 53369, 50806, 51440, 50806, 51669, 52610, 52769, 70939, 75949, 52043, 50896, 78940, 50896, 52745, 75949, 51669, 53765, 51774, 70939, 75949, 52043, 53585, 52806, 70939, 70295, 66662, 54526, 53369, 70939, 70295, 78119, 50896, 71862, 70939, 78119, 50896, 52327, 53765, 52769, 70939, 75949, 52043, 53585, 52769, 50896, 52745, 70295, 50896, 51669, 54526, 54437, 51196, 51774, 51196, 51660, 51196, 51607, 51196, 55746, 54437, 70939, 50896, 51660, 63415, 53585, 53369, 70939, 70295, 78119, 54526, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 71862, 55419, 51660, 50806, 51434, 50806, 51607, 52247, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55224, 53722, 50806, 51614, 50806, 51808, 52322, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55451, 53369, 50806, 51440, 50806, 51669, 52610, 52769, 70939, 75949, 52043, 50896, 78940, 50896, 52745, 75949, 51669, 53765, 51774, 70939, 75949, 52043, 53585, 52806, 70939, 78119, 50896, 52327, 54526, 55243, 70939, 75949, 52257, 50896, 67547, 50806, 52327, 50806, 53369, 78119, 55419, 51515, 50806, 51669, 52247, 52769, 50896, 51660, 63415, 66662, 53585, 52769, 50896, 51614, 75949, 51808, 54526, 54437, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 55746, 52769, 51274, 51515, 51274, 51808, 51274, 51669, 68249, 52769, 50806, 51660, 50806, 51607, 50806, 52043, 52610, 52769, 50806, 51614, 50896, 51669, 50896, 52327, 57024, 52806, 50806, 50799, 52745, 50896, 51614, 75949, 51669, 53765, 51774, 51274, 51434, 51274, 51607, 51274, 52043, 68249, 52769, 50806, 51434, 50806, 51669, 50806, 52327, 52610, 51774, 50806, 52043, 50806, 51434, 50896, 52257, 57024, 51614, 50806, 51669, 50806, 67548, 63415, 66662, 50896, 52043, 53765, 51660, 51274, 51434, 51274, 51607, 51274, 52257, 68249, 51660, 50806, 51434, 50806, 51607, 50806, 52257, 52610, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52931, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 50806, 50799, 52745, 50806, 51434, 50806, 51434, 50806, 51669, 52774, 52806, 50806, 51434, 50806, 51607, 50806, 51607, 52247, 51434, 50896, 51808, 50896, 52769, 51469, 52257, 51469, 50438, 52745, 50806, 51434, 52692, 51614, 50806, 51808, 52610, 51515, 51196, 51669, 51196, 55746, 51660, 51274, 51434, 51274, 51607, 51274, 52257, 68249, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52610, 51434, 50806, 52043, 50806, 51774, 66662, 57024, 51660, 50806, 52257, 50806, 67547, 50806, 52327, 50806, 53369, 78119, 55419, 51515, 50806, 51669, 52247, 52769, 50896, 51660, 63415, 66662, 53585, 51614, 50806, 52769, 75949, 51808, 55451, 51515, 52610, 54437, 51196, 51774, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 61627, 54437, 70939, 50896, 51660, 63415, 54526, 53369, 70939, 70295, 78119, 50896, 50799, 55243, 70939, 51274, 51434, 51274, 51434, 74189, 53722, 55224, 51660, 50806, 51434, 50806, 51607, 52322, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55451, 53722, 50806, 51614, 50806, 51808, 52610, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 57024, 53369, 50806, 51440, 50806, 51669, 50806, 78940, 70939, 75949, 52043, 53765, 52769, 50896, 52745, 75949, 51669, 53585, 51774, 70939, 75949, 52043, 54526, 52806, 70939, 70295, 66662, 50896, 75235, 70939, 70295, 78119, 53765, 53722, 70939, 78119, 50896, 52327, 53585, 52769, 70939, 75949, 52043, 54526, 52769, 50896, 52745, 70295, 50896, 51669, 50896, 50799, 54437, 51196, 51774, 51196, 51660, 51196, 51607, 60655, 54437, 70939, 50896, 51660, 63415, 54526, 53369, 70939, 70295, 78119, 50896, 50799, 55243, 70939, 51274, 51434, 51274, 51434, 74189, 53722, 55224, 51660, 50806, 51434, 50806, 51607, 52322, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55451, 53722, 50806, 51614, 50806, 51808, 52610, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 57024, 53369, 50806, 51440, 50806, 51669, 50806, 78940, 70939, 75949, 52043, 53765, 52769, 50896, 52745, 75949, 51669, 53585, 51774, 70939, 75949, 52043, 54526, 52806, 70939 ]
[ 0, 250, 33928, 8, 15352, 30054, 19834, 2125, 6, 42, 765, 2214, 7630, 6568, 10, 12298, 1619, 4780, 4, 2595, 10312, 30, 41, 21979, 9590, 8, 13305, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 1575, 10, 33215, 13931, 9, 1918, 6, 230, 6, 274, 6, 230, 401, 6, 8, 211, 6, 8216, 7, 63, 32076, 8, 11956, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51793, 56003, 53691, 56158, 55616, 50980, 57428, 52610, 50877, 50806, 53691, 57175, 50876, 50806, 54852, 50821, 65585, 51793, 50980, 50417, 68928, 50906, 53113, 50871, 52500, 50877, 52500, 50426, 53691, 56158, 51793, 56812, 51984, 50980, 56950, 56003, 53240, 56158, 55616, 50980, 57428, 52610, 50877, 50806, 53240, 57175, 78121, 54578, 50821, 74231, 51389, 50980, 50417, 50916, 50821, 50861, 53113, 50899, 51226, 75712, 50426, 53240, 56158, 51389, 52692, 50871, 50806, 51144, 54058, 50877, 50806, 51119, 54771, 50876, 50806, 51153, 50892, 57333, 65585, 51119, 50844, 74979, 51793, 50980, 50417, 74170, 51099, 50844, 51308, 54351, 50877, 53898, 51144, 53753, 51119, 53753, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 58648, 50931, 50980, 51435, 73580, 53691, 57175, 50931, 50806, 51435, 50892, 56229, 51226, 51435, 51391, 51261, 51285, 51793, 51285, 55616, 51285, 63975, 50806, 51275, 53913, 76783, 51275, 51391, 51261, 51285, 51793, 51285, 50456, 50871, 50806, 51144, 50892, 54852, 50806, 51144, 52121, 51119, 52121, 51153, 52121, 51793, 50980, 58060, 53898, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 56807, 51274, 51516, 51391, 52078, 51285, 55616, 51285, 77431, 50806, 51435, 53913, 50968, 51226, 51489, 51391, 51150, 51285, 53691, 51285, 76496, 50806, 51435, 50892, 72754, 75037, 72694, 50980, 51435, 51411, 51389, 50980, 55616, 56003, 68455, 51275, 50844, 51261, 50980, 54021, 74177, 65585, 51153, 53513, 50906, 50806, 51308, 50892, 54852, 51585, 51144, 51293, 51119, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50806, 51099, 50892, 53240, 50980, 53691, 58648, 50876, 51226, 51153, 72499, 53240, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50980, 51099, 51411, 53240, 50980, 53691, 56812, 53240, 57175, 65585, 51153, 56569, 65585, 74979, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50906, 50806, 51308, 50892, 54021, 51285, 55616, 65980, 50877, 50806, 51119, 54058, 50861, 50806, 51099, 54771, 50871, 50806, 51144, 50892, 54594, 50980, 51232, 51448, 51099, 51448, 53691, 56003, 51150, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 78121, 51275, 54771, 50931, 51226, 51119, 51742, 51153, 51742, 51435, 51742, 51793, 51226, 56510, 51226, 55746, 51793, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 50931, 50806, 51435, 54771, 50951, 51585, 51516, 51677, 51150, 51469, 59710, 51274, 55746, 56510, 56158, 59710, 65980, 50999, 50806, 51578, 54058, 50951, 50980, 51516, 51411, 56229, 51469, 51119, 51293, 51153, 51293, 51435, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 70781, 50844, 74979, 51793, 50980, 50417, 51099, 50844, 51308, 54351, 51144, 52071, 51119, 52071, 50426, 53691, 56158, 51793, 56812, 51984, 50980, 70781, 51293, 51153, 51293, 51435, 51293, 51389, 56003, 53240, 56158, 55616, 56812, 53240, 50980, 62673, 50844, 51119, 50844, 51389, 50980, 50417, 51232, 50844, 51099, 54351, 51198, 51391, 51144, 79648, 53240, 56158, 51389, 52692, 50871, 50806, 51144, 54058, 50877, 50806, 51119, 54771, 50876, 50806, 51153, 50892, 57333, 65585, 51119, 50844, 74979, 51793, 50980, 50417, 74170, 51099, 50844, 51308, 54351, 50877, 53898, 51144, 53753, 51119, 53753, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 58648, 50931, 50980, 51435, 73580, 53691, 57175, 50931, 50806, 51435, 50892, 56229, 51226, 51435, 51391, 51261, 51285, 51793, 51285, 55616, 51285, 63975, 50806, 51275, 53913, 76783, 51275, 51391, 51261, 51285, 51793, 51285, 50456, 50871, 50806, 51144, 50892, 54852, 50806, 51144, 52121, 51119, 52121, 51153, 52121, 51793, 50980, 58060, 53898, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 56807, 51274, 51516, 51391, 52078, 51285, 55616, 51285, 77431, 50806, 51435, 53913, 50968, 51226, 51489, 51391, 51150, 51285, 53691, 51285, 76496, 50806, 51435, 50892, 72754, 75037, 72694, 50980, 51435, 51411, 51389, 50980, 55616, 56003, 68455, 51275, 50844, 51261, 50980, 54021, 74177, 65585, 51153, 53513, 50906, 50806, 51308, 50892, 54852, 51585, 51144, 51293, 51119, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50806, 51099, 50892, 53240, 50980, 53691, 58648, 50876, 51226, 51153, 72499, 53240, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50980, 51099, 51411, 53240, 50980, 53691, 56812, 53240, 57175, 65585, 51153, 56569, 65585, 74979, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50906, 50806, 51308, 50892, 54021, 51285, 55616, 65980, 50877, 50806, 51119, 54058, 50861, 50806, 51099, 54771, 50871, 50806, 51144, 50892, 54594, 50980, 51232, 51448, 51099, 51448, 53691, 56003, 51150, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 78121, 51275, 54771, 50931, 51226, 51119, 51742, 51153, 51742, 51435, 51742, 51793, 51226, 56510, 51226, 55746, 51793, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 50931, 50806, 51435, 54771, 50951, 51585, 51516, 51677, 51150, 51469, 59710, 51274, 55746, 56510, 56158, 59710, 65980, 50999, 50806, 51578, 54058, 50951, 50980, 51516, 51411, 56229, 51469, 51119, 51293, 51153, 51293, 51435, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 70781, 50844, 74979, 51793, 50980, 50417, 51099, 50844, 51308, 54351, 51144, 52071, 51119, 52071, 50426, 53691, 56158, 51793, 56812, 51984, 50980, 70781, 51293, 51153, 51293, 51435, 51293, 51389, 56003, 53240, 56158, 55616, 56812, 53240, 50980, 62673, 50844, 51119, 50844, 51389, 50980, 50417, 51232, 50844, 51099, 54351, 51198, 51391, 51144, 79648, 53240, 56158, 51389, 52692, 50871, 50806, 51144, 54058, 50877, 50806, 51119, 54771, 50876, 50806, 51153, 50892, 56229, 54089, 51119, 51293, 51153, 51293, 51435, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 70781, 50844, 74979, 51793, 50980, 50417, 51099, 50844, 51308, 54351, 51144, 51742, 51119, 51742, 50426, 53691, 56158, 55616, 56812, 50626, 50877, 50806, 51144, 50892, 51119, 50892, 53691, 57175, 50877, 50806, 51119, 50892, 51057, 50906, 50806, 51308, 50892, 52078, 50980, 55616, 59217, 50906, 50806, 51308, 53770, 50877, 50806, 51119, 50892, 51150, 50980, 54021, 50980, 53691, 56925, 50861, 50806, 51099, 50892, 54578, 51285, 51144, 51677, 51793, 51469, 53240, 51469, 53691, 56003, 55616, 56158, 53691, 51285, 60027, 50806, 51119, 54771, 50877, 50806, 51119 ]
[ 0, 713, 14899, 3495, 2214, 11, 274, 538, 22750, 1626, 11098, 8, 10563, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 20535, 2810, 6, 17035, 873, 2401, 6, 21072, 6, 8, 3459, 8669, 4, 590, 10, 20889, 9, 21234, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 2877, 1328, 4, 20, 15352, 30054, 15229, 1171, 10, 33215, 16739, 9, 163, 428, 6, 274, 6, 163, 428, 6, 8, 230, 406, 6, 1271, 7, 63, 33200, 8, 2365, 12, 6928, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50420, 51170, 53578, 51170, 52630, 51170, 52265, 51236, 52676, 51240, 54129, 51240, 52267, 51648, 68675, 53851, 51240, 52568, 51648, 69987, 52193, 52099, 50802, 56236, 51713, 50824, 54244, 51059, 52685, 50936, 52107, 50936, 76047, 65757, 76507, 58094, 56315, 52302, 52685, 50936, 52107, 54444, 53516, 51713, 67549, 54948, 61749, 62942, 69697, 50902, 54154, 51648, 50802, 54244, 78432, 54292, 51713, 50824, 54941, 51072, 52685, 50936, 52107, 59872, 54514, 57512, 50997, 73353, 53199, 53885, 52685, 50936, 52107, 61624, 67922, 76028, 52808, 56459, 52568, 52099, 50802, 54941, 51072, 52777, 63292, 67575, 51648, 57129, 50952, 50906, 51582, 57582, 50817, 56236, 52366, 50802, 55294, 51059, 51026, 51894, 51320, 63292, 61993, 50997, 51677, 50420, 52306, 50802, 52685, 50921, 52464, 54196, 53516, 52366, 58813, 51790, 52777, 63292, 52265, 51648, 51029, 55294, 50860, 52464, 50921, 52685, 50921, 50906, 51116, 50951, 51238, 51320, 54292, 52468, 51072, 51587, 58094, 53885, 52464, 50921, 52685, 50921, 50906, 61420, 65086, 56459, 59587, 50951, 67081, 51648, 50802, 52468, 51072, 52777, 63292, 67575, 52425, 50802, 52685, 50921, 52464, 50921, 50951, 54447, 57582, 57895, 67944, 56236, 51683, 50824, 53046, 51059, 52464, 50936, 52253, 50936, 51587, 55534, 50900, 51295, 51320, 54031, 52464, 50936, 52253, 54444, 53516, 51683, 62306, 50859, 50951, 51907, 50898, 63292, 56973, 50876, 53695, 51648, 50802, 53046, 52035, 50304, 50924, 51320, 54292, 51683, 50824, 55294, 51072, 52464, 50936, 52253, 51919, 50299, 51345, 50900, 51345, 50956, 67570, 54514, 57512, 50791, 53885, 52464, 50936, 52253, 62392, 61930, 52675, 56459, 59587, 51001, 53886, 51906, 50802, 55294, 51072, 52777, 63292, 67575, 51963, 62306, 63287, 62271, 53340, 57582, 50817, 56236, 51648, 50802, 54941, 51059, 51050, 51161, 51320, 63292, 52302, 52099, 50802, 53761, 50936, 52197, 50936, 52253, 51919, 50301, 51591, 50791, 53516, 51648, 59920, 51103, 52777, 63292, 52265, 51683, 50824, 54941, 50860, 52197, 50936, 52253, 50936, 53761, 63621, 50991, 50931, 51238, 50876, 51238, 50433, 51320, 54292, 53046, 51072, 51587, 58094, 53885, 51648, 50802, 53761, 50936, 52197, 50936, 52253, 63621, 58681, 62377, 52808, 56459, 52568, 51648, 50802, 53046, 51072, 51587, 54987, 56721, 52777, 53650, 52099, 50802, 53761, 50936, 52197, 50936, 52253, 63621, 58681, 52808, 57582, 50817, 56236, 51713, 50824, 54244, 51059, 52685, 50936, 52107, 50936, 50415, 50997, 51472, 51320, 63292, 52302, 52685, 50936, 52107, 51919, 50297, 54265, 53516, 51713, 56798, 60597, 64424, 65208, 50914, 51587, 54948, 53644, 51648, 50802, 54244, 78432, 54292, 51713, 50824, 54941, 51072, 52685, 50936, 52107, 59872, 54514, 57512, 50899, 51212, 50997, 51542, 50791, 53885, 52685, 50936, 52107, 61624, 62176, 78858, 52675, 56459, 52568, 52099, 50802, 54941, 51072, 50899, 56444, 54514, 54987, 56721, 50791, 53650, 51648, 58503, 50812, 50902, 73927, 73629, 56236, 52002, 50802, 55294, 51059, 51026, 51605, 51320, 63292, 52302, 52366, 50802, 52685, 50921, 52464, 50921, 50997, 51692, 50791, 53516, 52002, 58813, 51675, 51587, 54948, 53644, 51776, 51009, 55294, 50860, 52464, 50921, 52685, 50921, 50906, 51095, 50902, 50828, 63064, 50433, 51320, 54292, 52468, 51072, 51587, 58094, 53885, 52685, 50921, 52464, 50921, 78122, 50902, 52959, 56459, 52568, 52468, 51072, 51587, 54948, 57582, 52193, 51648, 50802, 52464, 50921, 52685, 50921, 50906, 62474, 50791, 57582, 50817, 56236, 51683, 50824, 53046, 51059, 52464, 50936, 52253, 71327, 51945, 50415, 51026, 54438, 50898, 63292, 61792, 51026, 55086, 50420, 52464, 50936, 52253, 67739, 51680, 50791, 53516, 51683, 57593, 61930, 73342, 54948, 53644, 51648, 50802, 53046, 78432, 54292, 51683, 50802, 54244, 51072, 52464, 50936, 52253, 59872, 54514, 57512, 50791, 53885, 51906, 50802, 52253, 50936, 52464, 62392, 51124, 51001, 51091, 52777, 56459, 52568, 51963, 50802, 54244, 51072, 51587, 54987, 56721, 52777, 53650, 51906, 57593, 64468, 53802, 50898, 57582, 50817, 56236, 52103, 50802, 54941, 50802, 52253, 50936, 53761, 50936, 52804, 50936, 52197, 51919, 50297, 60867, 58696, 57253, 65614, 50879, 53431, 55534, 50791, 54031, 52103, 50802, 54941, 50802, 52197, 50936, 52253, 50936, 53761, 50936, 52804, 51919, 50297, 60867, 58696, 57253, 65614, 50879, 53431, 60879, 50791, 53516, 52103, 50824, 54941, 50802, 52197, 50806, 52253, 50806, 53761, 50806, 52804, 50806, 51050, 60867, 58696, 57253, 65614, 50879, 53431, 56973, 50791, 54292, 51170, 54129, 51170, 52267, 51170, 53851, 51170, 52568, 56008, 69987, 52193, 68264, 50802, 56236, 54244, 51059, 50899, 51472, 50997, 50889, 69256, 52299, 54514, 55534, 50791, 56315, 52302, 51050, 62693, 55893, 53774, 53939, 53367, 61624, 50808, 66695, 50902, 56420, 54948, 53644, 54244, 50860, 52804, 51919, 50302, 51535, 69256, 64578, 54292, 54941, 51072, 52464, 70717, 51283, 68264, 64578, 63292, 52267, 52804, 61624, 50808, 57213, 70523, 51331, 56459, 52568, 54941, 51072, 53367, 50936, 50694, 50314, 51812, 50898, 63292, 67575, 52804, 61624, 65039, 50808, 50931, 50855, 70523, 51331, 57582, 50817, 56236, 55294, 51059, 51026, 51605, 68264, 64578, 63292, 52302, 50997, 51692, 65883, 64811, 55893, 53774, 53939, 53367, 70717, 51790, 51587, 54948, 62171, 50951, 51628, 55294, 50860, 52804, 61624, 62176, 53618, 50898, 54292, 52468, 51072, 52464, 50936, 51320, 63292, 52267, 52804, 61624, 50822, 51028, 52207, 56459, 56877, 50902, 51043, 50449, 50906, 52946, 50450, 52468, 51072, 53367, 50936, 56008, 67549, 56721, 52777, 57582, 52193, 52804, 61624, 58114, 50854, 50902, 50820, 68264, 68675, 57895, 58005, 56236, 54244, 51059, 50997, 51991, 69256, 73475, 63292, 61993, 51050, 51662, 51039, 55893, 53774, 53939, 53367, 70717, 51803, 52777, 63292, 52265, 54244, 50860, 52804, 61624, 62176, 63762, 50809, 69256, 64578, 54292, 54941, 51072, 52464, 50936, 68264, 64578, 63292, 52267, 52804, 51919, 50317, 78440, 51337, 70523, 69987, 50898, 61722, 50902, 67702, 54941, 51072, 53367, 50936, 50694, 50314, 51812, 50898, 63292, 67575, 52804, 62392, 51100, 66771, 70523, 68675, 73629, 56236, 55294, 51059, 51026, 51538, 68264, 56681, 54514, 55534, 50791, 54031, 50997, 51662, 50791, 55893, 53774, 53939, 53367, 70717, 51452, 51587, 54948, 62171, 50906, 65818, 53810, 55294, 50860, 52804, 66919, 53579, 50898, 54292, 52468, 51072, 52464, 50936, 51320, 63292, 52267, 52804, 61624, 51025, 51028, 51135, 56459, 59587, 50902, 70098, 52468, 51072, 53367, 50936, 56008, 51812, 50898, 63292, 67575, 52804, 61624, 63269, 61666, 50857, 68264, 68675, 73629, 56236, 54244, 51059, 50997, 51605, 69256, 73475, 63292, 61993, 51050, 51677, 51039, 55893, 53774, 53939, 53367, 70717, 51194, 69256, 67549, 54948, 62171, 50906, 62176, 66156, 52359, 54244, 50860, 52804, 50936, 68264, 64578, 54292, 54941, 51072, 52464, 70717, 51477, 69256, 73475, 63292, 52267, 52804, 61624, 50820, 51028, 50961, 50931, 59156, 56459, 59587, 50902, 60866, 54941, 51072, 53367, 50936, 68264, 51812, 50898, 63292, 67575, 52804, 62392, 50808, 50902, 71808, 50836, 70523, 51331, 57582, 50817, 56236, 55294, 51059, 50694, 50314, 51029, 51320, 63292, 55534, 50997, 50981, 56978, 52808, 55893, 53774, 53939, 53367, 51919, 50299, 51790, 51587, 54948, 61749, 50899, 51218, 50432, 55294, 50860, 52804, 61624, 63191, 50849, 65883 ]
[ 0, 250, 15352, 30054, 5175, 19834, 4246, 10, 6755, 12547, 6, 13602, 6757, 6, 13305, 6, 21072, 6, 8, 38668, 11212, 6, 2351, 10, 11739, 9, 1372, 8, 2933, 6711, 29, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 15229, 16, 17407, 30, 10, 33215, 16739, 9, 274, 10431, 6, 230, 10431, 73, 717, 10431, 6, 12608, 119, 6, 2060, 6, 8, 230, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 57008, 55084, 50439, 64403, 50897, 57537, 56329, 54801, 55776, 53815, 53866, 53125, 55776, 50816, 69721, 51737, 50448, 64403, 51142, 50816, 52101, 50453, 74148, 51006, 50458, 70244, 62283, 69721, 53024, 53069, 64403, 66611, 57826, 50425, 50913, 55084, 50428, 65662, 51058, 53952, 54573, 54575, 54573, 54466, 55776, 50816, 50360, 51342, 54691, 50437, 65662, 68394, 51252, 50446, 70244, 67041, 69721, 51737, 50455, 57655, 51142, 50461, 50816, 51998, 51809, 61744, 51008, 56676, 52980, 53125, 77984, 50816, 50364, 51342, 53313, 63741, 67847, 61744, 50908, 61744, 67831, 52794, 50430, 65662, 51376, 50435, 64403, 58896, 72184, 53313, 50444, 61744, 51254, 50453, 57655, 52034, 59088, 52440, 54801, 52916, 50816, 57675, 54386, 50799, 57655, 51470, 50816, 50360, 51342, 57826, 56063, 52794, 50423, 64403, 63250, 57675, 53306, 50432, 51070, 57826, 50439, 60245, 51319, 50440, 61744, 64524, 51205, 51486, 74148, 50864, 58083, 51172, 55654, 53866, 52867, 52528, 50816, 50364, 51342, 51737, 50451, 59878, 51645, 50816, 52794, 50460, 63563, 51412, 51070, 53024, 55753, 50692, 50331, 51645, 51070, 57826, 50427, 58358, 77093, 50360, 50994, 55084, 50429, 61744, 67393, 51096, 51486, 64403, 50971, 50692, 50329, 51645, 55745, 55586, 54801, 52980, 53125, 52916, 50816, 69803, 54691, 50439, 63482, 54521, 50816, 51832, 50448, 59878, 51283, 50816, 69803, 51737, 52177, 56660, 51319, 50418, 60245, 68353, 51796, 51134, 63563, 51412, 50692, 50331, 52460, 60587, 53265, 56676, 58898, 53603, 53674, 54575, 55086, 50816, 54949, 53313, 50420, 65662, 77045, 63482, 51852, 50692, 50329, 51852, 50816, 52794, 50434, 58358, 51851, 50435, 57655, 75753, 51228, 51191, 61275, 53096, 63563, 51852, 59088, 55002, 54801, 53280, 52592, 53577, 50816, 69449, 53313, 50438, 65662, 70042, 59878, 51922, 63482, 52503, 50452, 58358, 51123, 50770, 50310, 51894, 50454, 61744, 68935, 53344, 51662, 67281, 52980, 54801, 63160, 53815, 52783, 50816, 50364, 51342, 54386, 50456, 64403, 50971, 51809, 50816, 50358, 50792, 50611, 51074, 51070, 57826, 63741, 50360, 50994, 52794, 50426, 51925, 50795, 51070, 53306, 50432, 50816, 55084, 57177, 50360, 51342, 57826, 50442, 58358, 57138, 52624, 50942, 61744, 50863, 67281, 53866, 54801, 65527, 53815, 54573, 50816, 72184, 51737, 55052, 51318, 50445, 64403, 51297, 50448, 54361, 53801, 50453, 52624, 51210, 50816, 51998, 54895, 51824, 50458, 54063, 51008, 54740, 52167, 53206, 55084, 50799, 55360, 66610, 50362, 51342, 53024, 54428, 52731, 50419, 56976, 66401, 52624, 51058, 51070, 57826, 54428, 52731, 50428, 58358, 51022, 54895, 52167, 50429, 57655, 63971, 55084, 50432, 52933, 51051, 65662, 50941, 53952, 60237, 52592, 55776, 54575, 52528, 50816, 57675, 54691, 53118, 51703, 54740, 51142, 50437, 54361, 53674, 50442, 52933, 67831, 51550, 53000, 51524, 50446, 54740, 51824, 50451, 55360, 51203, 50816, 72184, 51737, 56976, 74799, 54361, 52782, 50460, 51802, 51142, 50816, 51998, 54428, 56373, 51809, 54740, 51142, 50418, 60245, 78408, 55084, 50420, 61744, 60156, 53101, 50978, 64403, 51297, 56676, 55086, 53603, 58468, 50816, 69572, 53313, 54969, 51965, 54895, 54887, 50426, 53267, 53280, 77627, 52794, 50430, 53101, 51051, 54254, 51824, 50435, 52933, 51142, 54895, 52179, 50439, 52624, 64946, 54949, 53313, 54428, 51376, 50448, 53101, 70547, 52101, 54254, 52167, 50453, 54895, 51254, 50454, 58358, 51269, 64403, 69249, 61744, 51126, 50458, 51802, 51210, 64403, 51126, 59088, 55776, 54801, 56329, 53125, 55776, 50816, 50368, 51342, 54386, 56837, 52783, 50799, 53267, 53577, 50416, 50816, 52462, 50419, 51802, 51210, 51070, 57826, 54361, 52179, 50423, 54895, 51470, 50425, 50816, 50358, 50994, 52794, 50428, 52624, 56949, 72184, 53306, 54428, 61957, 54361, 51824, 50437, 52549, 51172, 50816, 50361, 51342, 57826, 54895, 51210, 50442, 56660, 51269, 54428, 52179, 50443, 60245, 50984, 50446, 52173, 51645, 61744, 50827, 55654, 52916, 52867, 52916, 50816, 50368, 51342, 51737, 57215, 51447, 54895, 51006, 50451, 55052, 54228, 50455, 53101, 70547, 52794, 54254, 54071, 50460, 54063, 51008, 54895, 51210, 50461, 50816, 55084, 51809, 52624, 51645, 50816, 50368, 51342, 53024, 55554, 51412, 50421, 55052, 54521, 50426, 53101, 51645, 50816, 50361, 51342, 57826, 54254, 52179, 50430, 54428, 65948, 58358, 50984, 64403, 67194, 55084, 50435, 52549, 51172, 61744, 50971, 55745, 56329, 54801, 51490, 53125, 55086, 50816, 50368, 51342, 54691, 56265, 52980, 50436, 64403, 62889, 55052, 53674, 50444, 52549, 67831, 51819, 54361, 51862, 50448, 54895, 52731, 51899, 55084, 50453, 53101, 51172, 50816, 72184, 51737, 54428, 51852, 50458, 55052, 51862, 50799, 52549, 63445, 52101, 54361, 52731, 50419, 52549, 51051, 54895, 51862, 50420, 56660, 50984, 50422, 60245, 57079, 52173, 51172, 65662, 50827, 60587, 54829, 56676, 63160, 53603, 52212, 54575, 50359, 50411, 50816, 69721, 53313, 59862, 51080, 54254, 51376, 50428, 54969, 54211, 50432, 51802, 52034, 54029, 51824, 50437, 54254, 52167, 62434, 55084, 50442, 53101, 63445, 69803, 53313, 54740, 51051, 50446, 52624, 51542, 54969, 52731, 50451, 50816, 51269, 54029, 52179, 50455, 54740, 51376, 50457, 58358, 51126, 57655, 51123, 50770, 50310, 51894, 50460, 52933, 52528, 65662, 50904, 59088, 55586, 54801, 52720, 52592, 52916, 50816, 69721, 54386, 56837, 51637, 51809, 54757, 55812, 50421, 50816, 50361, 51342, 57826, 54361, 52179, 50426, 54254, 51524, 77627, 61078, 52794, 72958, 69803, 53306, 53000, 64945, 54895, 51210, 57008, 52101, 50439, 50816, 50362, 51342, 57826, 54740, 52192, 50444, 55554, 51008, 50448, 52624, 50977, 53344, 51662, 51719, 51535, 52932, 51295, 64403, 50844, 67281, 52136, 53815, 53486, 53125, 65278, 50816, 69803, 51737, 55052, 51703, 54428, 67042, 57106, 56458, 50453, 54361, 54228, 50458, 52624, 51210, 51414, 53838, 58358, 51851, 54895, 54887, 50461, 50816, 51693, 50799, 54063, 51008, 54428, 51142, 50416, 52109, 51333, 50419, 55360, 50955, 52948, 51330, 50816, 50363, 50954, 55237, 53024, 56976, 68582, 64403, 62791, 54361, 52460, 50428, 52624, 51008, 55386, 50905, 58358, 76396, 50364, 51342, 57826, 54895, 70057, 56976, 51058, 50434, 50913, 55084, 50437, 52933, 51051, 50945, 51592, 51303, 52980, 52109, 52598, 53001, 51477, 55386, 51148, 65662, 50838, 53952, 58468, 52592, 58468, 50816, 50368, 51342, 54691, 53118, 51703, 54740, 51210, 50442, 54361, 54228, 50446, 52933, 51008, 53000, 51862, 50449, 58358, 59641, 50451, 54740, 51365, 59986, 51998, 50455, 55360, 51203, 52932, 51330, 65662, 66382, 56706, 57233, 51737, 56976, 50978, 50460, 54361, 52179, 51601, 58358, 51376, 50416, 52933, 51254, 53001, 50368, 51106, 52462, 54895, 51824, 50421, 56976, 55656, 53101, 50978, 51105, 51677, 51687, 52598, 52948, 51310, 52932, 51391, 55783, 51490, 61744, 50905, 56676, 53866, 53603, 54573, 50816, 72184, 53313, 54969, 52136, 54428, 52192, 50430, 53267, 54211, 50435, 53101, 70547, 55084, 54895, 51862, 50436, 60245, 51319, 50439, 52933, 51142, 54254, 52731, 50444, 52624, 50933, 52932, 52011, 50816, 59469, 55237, 53313, 54428, 67139, 64403, 51172, 50448, 53267, 51824, 50453, 53101, 51051, 51980, 66382, 51252, 54254, 52179, 50458, 54428, 52731, 76309, 51210, 51228, 51662, 52102, 52015, 51651, 55586, 52109, 51351, 55862, 53280, 58358, 51333, 59088, 60237, 53125, 56329, 50816, 69803, 54386, 56837 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 6, 42, 765, 2214, 1575, 3459, 13305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 33704, 5675, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 1769, 20889, 9, 13950, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 272, 119, 6, 163, 428, 6, 272, 119, 6, 8, 163, 428, 3639, 7, 63, 20902, 8, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 61069, 50800, 50695, 50340, 55157, 57639, 53213, 56184, 51620, 55402, 51628, 61370, 50800, 50695, 50343, 52382, 61627, 50654, 50338, 50800, 50695, 50347, 56027, 71960, 51757, 61370, 50800, 50799, 61607, 50800, 50695, 50342, 59492, 56184, 51628, 61370, 50800, 50695, 50343, 53520, 50796, 50456, 56184, 50800, 50799, 61069, 50800, 50695, 50340, 60055, 56184, 51620, 55402, 51628, 61370, 50800, 50695, 50343, 52382, 61627, 56184, 50800, 50695, 50338, 56027, 61069, 51757, 56184, 50800, 50799, 55951, 50800, 74356, 59492, 53139, 51628, 55402, 50800, 50695, 50340, 53520, 50796, 50444, 55951, 51757, 55402, 51754, 56184, 50800, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 60055, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 51620, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 51628, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 50441, 52158, 50800, 53234, 50800, 52627, 51757, 52158, 50800, 53234, 50800, 52627, 52567, 52158, 50800, 53234, 50800, 52627, 50800, 52591, 52158, 50800, 53234, 50800, 52627, 52765, 52158, 50800, 53234, 50800, 52627, 51724, 50654, 50338, 50800, 52092, 50800, 52569, 50800, 54057, 50800, 50695, 50347, 56027, 71960, 50800, 51959, 50800, 52569, 50800, 52930, 51757, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 51754, 52092, 50800, 52569, 50800, 54057, 50800, 50799, 61607, 50800, 51771, 50800, 51959, 50800, 52569, 50800, 50695, 50342, 50983, 50423, 51771, 50800, 51959, 50800, 52092, 51620, 56184, 51628, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 53520, 50441, 52158, 50800, 53234, 50800, 52627, 51757, 52158, 50800, 53234, 50800, 52627, 52567, 52158, 50800, 53234, 50800, 52627, 50800, 52591, 52158, 50800, 53234, 50800, 52627, 52765, 52158, 50800, 53234, 50800, 52627, 51724, 52158, 50800, 53234, 50800, 52627, 51820, 51771, 50800, 51959, 50800, 52569, 51757, 52158, 50800, 53234, 50800, 52627, 51754, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 60055, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 51620, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 51628, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 50441, 52158, 50800, 53234, 50800, 52627, 51757, 52158, 50800, 53234, 50800, 52627, 52567, 52158, 50800, 53234, 50800, 52627, 50800, 52591, 52158, 50800, 53234, 50800, 52627, 52765, 52158, 50800, 53234, 50800, 52627, 51724, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50695, 50338, 56027, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 51757, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 51754, 52647, 50800, 51771, 50800, 51959, 50800, 50799, 55951, 50800, 52003, 50800, 51890, 50800, 52158, 50800, 74356, 50983, 50423, 52951, 50800, 52647, 50800, 51771, 51620, 53139, 51628, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 50695, 50340, 53520, 50441, 52647, 50800, 51771, 50800, 51959, 51757, 52647, 50800, 51771, 50800, 51959, 52567, 52647, 50800, 51771, 50800, 51959, 50800, 52591, 52647, 50800, 51771, 50800, 51959, 52765, 52647, 50800, 51771, 50800, 51959, 51724, 52647, 50800, 51771, 50800, 51959, 51820, 55951, 50800, 52003, 50800, 51890, 50800, 52158, 51757, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 51754, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 50983, 51338, 51730, 53213, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51338, 51049, 55447, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51730, 54736, 54053, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 51533, 51049, 50930, 51450, 55092, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 66027, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 50880, 51453, 58561, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 50800, 51528, 53213, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51049, 50930, 52389, 54736, 57850, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 70565, 56341, 50654, 50338, 50800, 52092, 50800, 52569, 50800, 54057, 50800, 50695, 50347, 50918, 51137, 51730, 52940, 71960, 50800, 51959, 50800, 52569, 50800, 52930, 50800, 51137, 51049, 55510, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 51137, 51730, 54736, 54647, 52092, 50800, 52569, 50800, 54057, 50800, 51137, 51049, 50930, 50799, 61607, 50800, 51771, 50800, 51959, 50800, 52569, 50800, 50695, 50342, 50983, 51181, 51730, 66421, 59214, 51771, 50800, 51959, 50800, 52092, 50800, 51181, 51620, 56184, 51730, 54736, 54053, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 53520, 51533, 51049, 50930, 51450, 55092, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 66027, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 50880, 51453, 58561, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 50800, 51528, 53213, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51049, 50930, 52389, 54736, 57850, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 70565, 56341, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 52940, 51771, 50800, 51959, 50800, 52569, 50800, 51533, 51049, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 54647, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51533, 51049, 50930, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 50983, 51338, 51730, 53213, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51338, 51049, 55447, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51730, 54736, 54053, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 51533, 51049, 50930, 51450, 55092, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 66027, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 50880, 51453, 58561, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 50800, 51528, 53213, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51049, 50930, 52389, 54736, 57850, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 70565, 56341, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50695, 50338, 50918, 51727, 51730, 52940, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 51727, 51049, 55510, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51727, 51730, 54736, 54647, 52647, 50800, 51771, 50800, 51959, 50800, 51727, 51049, 50930, 50799, 55951, 50800, 52003, 50800, 51890, 50800, 52158, 50800, 74356, 50983, 54311, 51730, 66421, 59214, 52951, 50800, 52647, 50800, 51771, 50800, 54311, 51620, 53139, 51730, 54736, 54053, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 50695, 50340, 53520, 51338, 51049, 50930, 51450, 55092, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 66027, 55510, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51730, 54736, 50880, 51453, 58561, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 50800, 51528, 53213, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51049, 50930, 52389, 54736, 57850, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 70565, 56341, 52647, 50800, 51771, 50800, 51959, 50800, 51338 ]
[ 0, 250, 765, 5175, 15855, 15229, 14, 7630, 6568, 10, 25306, 5466, 6, 29354, 19448, 8, 2933, 4785, 19, 3722, 5581, 4, 20, 385, 922, 438, 15677, 6, 13305, 6, 15054, 17838, 6, 4401, 757, 3178, 6, 8, 769, 196, 6757, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 6, 2060, 6, 230, 10431, 6, 274, 10431, 6, 8, 163, 3639, 7, 5, 2125, 18, 5679, 26709, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51001, 52024, 51001, 52024, 56967, 61086, 50965, 52024, 50965, 52024, 56283, 51077, 50456, 55611, 53848, 55611, 50808, 57346, 54834, 51040, 52024, 63089, 51353, 58258, 54275, 58258, 52734, 56283, 53184, 56283, 52450, 56967, 53847, 56967, 52559, 62882, 53263, 62882, 52599, 69069, 54134, 69069, 52711, 62882, 53668, 62882, 52741, 56967, 53987, 56967, 52643, 56283, 53848, 56283, 50808, 58540, 52024, 51028, 52024, 57306, 61086, 50989, 52024, 50989, 52024, 57719, 51077, 57542, 54834, 51086, 54834, 63089, 55428, 66205, 54275, 66205, 52734, 57719, 53184, 57719, 52450, 57306, 53847, 57306, 52559, 62882, 53263, 62882, 52599, 69069, 54134, 69069, 52711, 66205, 50808, 62882, 53668, 62882, 52741, 66205, 50808, 57306, 53987, 57306, 52643, 66205, 50808, 57719, 53848, 57719, 50808, 57844, 52024, 50973, 52024, 57255, 51077, 59419, 52024, 50916, 52024, 57237, 51077, 56310, 52024, 51027, 52024, 63089, 52122, 57862, 54275, 57862, 52734, 57237, 53184, 57237, 52450, 57255, 53847, 57255, 52559, 58827, 53263, 58827, 52599, 59296, 54134, 59296, 52711, 58827, 53668, 58827, 52741, 57255, 53987, 57255, 52643, 57237, 53848, 57237, 50808, 54852, 51264, 50877, 52024, 57483, 54275, 57483, 52734, 57237, 53184, 57237, 52450, 55010, 53847, 55010, 52559, 57237, 53263, 57237, 52599, 50916, 52024, 50916, 52024, 57483, 54134, 57862, 52711, 57237, 53668, 57237, 52741, 55010, 53987, 55010, 52643, 57237, 53848, 57237, 50808, 58526, 51077, 51176, 52024, 50661, 50276, 53898, 50661, 50276, 53898, 50666, 50288, 50911, 50671, 50288, 55446, 50666, 50288, 51090, 50671, 50288, 55920, 54872, 53668, 54872, 52741, 51687, 53987, 51687, 52643, 54872, 50808, 50671, 50288, 51090, 67718, 54275, 51249, 52734, 51651, 53184, 51651, 52450, 51249, 53847, 51651, 52559, 51465, 53263, 54872, 52599, 51249, 50808, 50666, 50288, 50882, 50671, 50288, 61618, 51249, 50808, 50666, 50291, 55920, 51651, 50808, 50666, 50291, 57674, 54872, 50808, 50666, 50288, 50882, 50671, 50288, 54988, 51465, 50808, 50666, 50291, 59574, 51465, 50808, 50666, 50291, 54403, 54872, 50808, 50666, 50288, 50882, 50671, 50288, 58361, 51465, 50808, 50666, 50291, 50882, 50799, 52070, 54834, 53335, 51196, 59916, 51196, 50666, 50291, 50911, 50671, 50291, 55446, 50666, 50291, 50911, 50671, 50291, 53917, 57081, 50808, 50671, 50291, 57836, 57081, 50808, 50671, 50291, 55381, 50931, 51991, 50931, 53363, 51303, 50808, 52327, 51196, 56176, 51196, 50441, 51414, 52711, 51651, 53668, 51687, 52741, 51303, 53987, 52303, 52643, 52571, 50808, 50666, 50291, 50882, 50671, 50291, 58361, 52303, 50808, 50666, 50290, 50882, 50671, 50290, 50882, 58540, 53363, 54872, 50805, 52361, 51585, 55287, 51196, 50666, 50288, 50911, 50671, 50288, 55446, 54872, 50805, 50666, 50288, 50911, 50671, 50288, 53917, 51028, 51538, 50671, 50288, 57836, 50671, 50288, 55381, 62362, 66336, 52381, 50805, 54050, 50806, 52943, 52931, 51948, 50805, 54050, 50806, 53016, 50806, 50799, 52461, 51077, 53399, 51196, 50668, 50283, 51090, 66370, 51204, 50671, 50295, 51090, 50417, 51028, 52024, 50432, 51360, 50808, 50668, 50281, 50882, 61165, 50808, 50671, 50293, 57836, 51324, 50808, 50668, 50279, 50882, 50668, 50291, 50808, 50671, 50291, 55381, 51360, 51077, 52461, 51077, 51948, 53898, 53016, 51196, 50668, 50281, 51496, 61165, 51141, 50671, 50293, 51496, 50456, 50668, 50279, 50882, 50668, 50291, 50808, 50671, 50293, 58361, 50668, 50278, 50882, 62349, 50808, 50671, 50293, 50882, 50799, 52070, 51623, 51651, 50803, 52678, 51196, 62349, 51077, 50668, 50278, 52282, 50671, 50291, 51551, 50417, 51651, 55446, 51651, 54588, 51651, 53450, 51651, 54889, 51651, 54150, 51651, 56857, 51651, 58604, 51651, 70546, 51651, 62095, 51651, 52101, 50447, 51651, 52794, 50450, 51651, 55084, 50453, 51651, 55084, 50456, 51948, 50821, 51651, 55084, 53016, 50821, 50671, 50291, 58361, 51837, 50821, 51651, 55084, 53085, 50821, 50671, 50291, 50882, 56229, 51264, 52929, 51196, 51825, 51264, 55287, 51196, 50668, 50281, 51551, 53408, 51264, 50671, 50293, 54856, 72514, 51538, 72514, 52266, 50438, 52381, 51274, 52943, 51274, 50456, 52381, 50821, 52943, 54863, 51948, 50821, 53016, 50821, 57923, 51264, 52461, 51196, 53399, 51196, 50668, 50281, 50911, 54614, 51264, 50671, 50293, 55446, 72514, 51991, 50668, 50281, 50911, 50671, 50293, 54856, 72514, 52282, 50438, 52070, 51160, 52678, 52692, 52678, 54787, 52381, 50821, 52943, 53153, 51948, 50896, 53016, 55982, 52678, 66911, 50668, 50281, 50882, 50671, 50293, 58361, 50668, 50281, 50882, 50671, 50293, 50882, 50799, 52381, 51469, 51948, 51469, 53234, 51264, 51465, 51623, 50668, 50276, 57487, 50668, 50276, 50911, 50799, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 68641, 50882, 50668, 50276, 50882, 50671, 50293, 60845, 52381, 50806, 51948, 50806, 54057, 50805, 51687, 50805, 56922, 50882, 50668, 50276, 50911, 50671, 50293, 55446, 56194, 57625, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 52745, 50882, 50668, 50278, 50882, 50671, 50293, 54856, 52381, 50806, 51948, 50806, 54057, 50805, 51687, 50805, 52027, 50882, 50668, 50278, 50911, 50671, 50293, 58465, 51929, 53917, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 51773, 50882, 50668, 50279, 50882, 50671, 50293, 57836, 52381, 50806, 51948, 50806, 54057, 50805, 51687, 50805, 52361, 50882, 50668, 50279, 50911, 50671, 50293, 55381, 52603, 61618, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 51773, 50882, 50668, 50281, 50882, 50671, 50293, 55920, 52040, 50821, 51847, 50821, 53643, 50808, 51687, 50805, 52361, 50882, 50668, 50281, 51427, 50671, 50293, 57674, 51561, 50821, 51494, 50821, 52775, 50808, 52603, 54988, 51494, 50821, 51512, 50821, 52427, 50808, 51687, 50808, 51773, 50882, 50671, 50293, 59574, 51512, 50821, 51429, 50821, 53464, 50808, 51687, 50805, 52361, 50882, 50668, 50283, 51427, 50671, 50293, 54403, 51429, 50821, 51777, 50821, 53234, 50808, 52603, 58361, 79630, 51639, 50821, 52070, 50821, 51687, 50808, 51773, 50882, 50671, 50293, 50882, 57923, 52024, 51001, 52570, 50665, 50290, 50808, 50665, 50290, 50821, 50671, 50292, 55446, 50665, 50295, 50808, 50665, 50295, 50821, 50671, 50295, 57625, 50665, 50302, 50805, 50665, 50302, 50806, 50671, 50292, 54856, 55611, 74450, 50665, 50295, 50808, 50665, 50295, 50821, 50671, 50292, 53917, 66597, 50805, 66597, 50806, 50671, 50292, 55381, 50965, 53601, 50665, 50302, 50808, 50665, 50302, 50821, 50671, 50292, 61618, 50665, 50297, 50808, 50665, 50297, 53247, 55611, 50822, 50665, 50290, 51116, 50665, 50290, 51160, 50671, 50292, 57674, 55611, 53140, 55611, 77058, 50665, 50291, 50808, 50665, 50291, 52935, 50665, 50290, 50805, 50665, 50290, 50806, 50671, 50292, 50882, 57346, 54834, 55611, 50844, 50665, 50290, 50805, 50665, 50290, 58718, 55611, 53932, 55611, 50822, 50665, 50290, 50805, 50665, 50290, 50806, 50671, 50292, 57625, 55611, 53049, 55611, 50905, 50665, 50288, 50805, 50665, 50288, 50806, 50671, 50290, 58465, 52102, 52559, 55611, 50822, 50665, 50290, 51623, 50665, 50290, 51685, 50671, 50292, 57836, 52102, 52599, 52102, 50808, 55611, 58935, 51687, 52711, 55611, 50833, 50671, 50292, 57674, 55611, 50833, 50671, 50292, 54988, 52102, 51116, 55611, 51090, 58540, 54834, 51028, 56094, 50665, 50290, 50808, 50665, 50290, 50821, 50671, 50290, 55446, 50665, 50295 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 9590, 6, 8, 32909, 6, 278, 11, 10, 20902, 231, 73, 398, 86, 6543, 23, 10, 12701, 4450, 20889, 11, 5, 762, 9, 272, 538, 6, 19, 10, 33215, 16739, 9, 1918, 406, 6, 163, 119, 406, 6, 8, 3676, 2351, 10, 32076, 8, 19448, 5466, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50636, 50791, 50817, 51570, 50837, 50462, 51842, 63578, 50791, 50817, 51570, 50837, 52320, 50817, 50462, 69302, 51540, 51964, 52121, 51280, 52337, 51198, 52096, 51099, 51717, 51299, 52337, 52257, 51896, 50438, 51808, 51358, 50462, 51607, 51145, 51540, 52257, 78464, 52676, 51808, 51103, 50462, 51607, 50918, 51540, 51280, 51243, 51232, 51243, 51099, 51313, 51429, 51293, 51275, 51307, 51251, 53413, 52257, 64050, 51808, 51591, 50462, 51607, 51446, 51540, 51280, 55844, 51232, 57820, 51099, 53380, 51153, 53259, 51489, 53363, 51301, 52644, 52257, 59770, 52676, 51808, 50918, 50462, 51607, 51446, 51540, 52419, 52024, 51708, 52096, 51280, 52121, 51232, 51717, 51099, 51717, 51153, 52250, 51489, 52121, 53215, 52121, 51088, 52121, 52257, 61086, 51808, 51803, 50462, 51607, 51291, 51540, 52830, 51801, 51093, 52121, 52257, 78464, 52676, 51280, 51472, 51232, 51591, 51808, 51623, 50462, 51099, 51745, 51607, 51077, 51540, 51232, 51717, 51119, 52149, 51883, 52337, 51113, 52204, 51266, 52204, 52257, 64164, 51808, 51591, 50462, 51607, 51397, 51540, 52257, 59770, 52676, 51808, 51077, 50462, 51607, 51413, 51540, 51140, 52122, 51876, 51717, 51280, 52121, 51144, 52121, 51099, 51717, 51153, 52149, 52907, 52337, 51887, 51079, 51883, 52204, 51113, 52121, 51266, 53454, 51898, 53454, 52257, 68875, 51808, 51358, 50462, 51607, 51291, 51540, 51107, 52826, 52298, 53478, 52257, 77229, 52676, 51808, 50918, 50462, 51357, 51397, 51607, 51446, 51540, 51140, 52121, 51093, 51801, 51266, 52337, 51431, 52644, 52257, 61086, 51808, 51077, 50462, 51607, 51397, 51540, 51485, 51243, 52257, 51077, 70561, 52676, 51808, 51336, 50462, 51744, 51080, 51607, 51291, 51540, 51273, 52122, 52176, 51717, 51280, 51717, 51144, 51717, 51119, 52096, 52371, 52250, 51883, 51717, 51431, 52204, 52257, 61086, 51808, 51336, 50462, 51607, 51562, 51540, 52257, 67481, 50791, 52676, 51808, 51336, 50462, 51607, 51446, 51540, 51273, 51059, 52176, 51059, 51280, 51745, 51144, 51059, 51119, 51059, 51171, 50983, 50848, 51189, 79274, 75707, 52371, 51161, 51883, 51161, 52067, 51745, 52629, 51029, 57238, 62066, 52676, 51273, 51029, 52176, 51761, 51280, 51745, 51144, 51029, 51119, 51029, 51171, 51091, 59769, 50872, 59331, 52067, 51237, 52629, 51059, 57238, 70548, 50817, 50462, 55094, 51540, 51098, 51029, 51869, 51029, 51099, 51573, 51429, 51552, 51275, 51761, 50988, 50983, 51042, 51115, 50848, 51141, 50847, 51141, 51699, 51161, 53147, 51552, 53954, 51029, 61477, 62066, 51636, 57280, 51029, 51869, 51059, 76806, 51429, 51054, 51275, 51059, 50988, 64539, 60871, 58311, 53147, 51090, 53954, 50824, 61477, 70548, 50817, 51474, 51474, 51540, 51964, 52121, 51280, 52337, 51198, 52096, 51099, 51717, 52257, 51896, 53085, 52442, 50417, 53085, 52442, 50438, 51808, 51358, 50462, 51607, 51145, 51540, 52257, 51077, 53085, 56769, 70561, 55265, 53085, 56769, 50438, 51808, 51103, 50462, 51607, 50918, 51540, 51280, 51243, 51232, 51243, 51099, 51313, 51429, 51293, 51275, 51307, 52257, 51103, 53085, 54454, 50417, 53085, 54454, 50438, 51808, 51591, 50462, 51607, 51446, 51540, 51280, 55844, 51232, 57820, 51099, 53380, 51153, 53259, 51489, 53363, 52257, 50918, 53085, 52311, 50791, 55265, 53085, 52311, 50438, 51808, 50918, 53399, 52195, 50441, 53399, 51551, 50462, 51607, 51446, 52235, 51472, 50465, 52235, 51336, 51540, 52419, 52024, 51708, 52096, 51280, 52121, 51232, 51717, 51099, 51717, 51153, 52250, 51489, 52121, 52257, 51077, 51992, 55362, 50417, 51992, 55362, 50438, 51808, 51803, 50462, 51607, 51291, 51540, 52257, 51077, 51992, 52208, 50791, 55265, 51992, 52208, 50438, 51280, 51472, 51232, 51591, 51808, 51623, 50462, 51099, 51745, 51607, 51077, 51971, 51127, 50465, 51971, 51675, 51540, 51232, 51717, 51119, 52149, 52257, 51183, 52235, 52024, 50417, 52235, 52024, 50438, 51808, 51591, 50462, 51607, 51397, 51540, 52257, 67481, 50791, 52676, 51808, 51077, 50462, 51607, 51413, 51756, 52097, 50465, 51756, 51527, 51540, 51140, 52122, 51876, 51717, 51280, 52121, 51144, 52121, 51099, 51717, 51153, 52149, 52257, 51358, 52235, 52379, 50417, 52235, 56769, 50438, 51808, 51358, 50443, 50636, 50462, 51607, 51291, 51540, 52257, 51336, 52235, 52311, 50791, 55265, 52235, 52369, 50438, 51808, 50918, 50462, 51607, 51446, 52235, 51241, 50465, 52235, 51218, 51540, 51140, 52121, 52257, 51077, 52235, 52827, 50417, 52235, 53174, 50438, 51808, 51077, 50462, 51607, 51397, 52235, 51157, 50465, 52235, 51204, 51540, 52257, 51077, 52235, 52512, 50791, 55265, 52235, 51870, 50438, 51808, 51336, 51992, 51661, 50441, 51992, 51356, 50462, 51607, 51291, 51756, 51413, 50465, 51756, 51103, 51540, 51984, 53478, 51198, 51145, 51099, 53651, 51153, 53233, 51614, 51314, 51434, 54143, 51607, 56515, 51992, 53501, 50417, 51992, 53501, 50438, 51198, 51977, 51614, 51790, 50462, 51232, 51677, 51660, 52140, 51540, 51150, 53413, 51280, 53259, 51099, 54454, 51153, 53753, 51774, 53487, 51434, 52919, 51607, 54249, 50791, 52676, 51198, 51127, 51614, 51244, 50462, 51232, 51452, 51660, 51680, 51540, 51389, 54300, 51144, 51336, 51099, 52208, 51153, 55362, 51515, 51047, 51434, 51264, 51607, 53259, 50438, 51144, 51103, 51515, 51148, 50462, 51099, 50859, 51434, 50810, 51540, 51098, 54454, 51869, 51243, 51144, 51742, 51099, 52069, 51153, 51991, 52769, 51445, 51434, 51538, 51607, 51486, 50791, 52676, 51198, 51127, 51614, 51749, 50462, 51144, 51212, 51515, 51328, 51540, 51150, 52829, 51964, 52121, 51280, 52337, 51198, 52096, 51099, 51717, 50885, 53082, 51774, 52829, 51614, 52204, 51660, 51801, 51434, 52096, 52257, 51896, 53085, 52442, 50417, 53085, 52442, 50438, 51808, 51358, 50462, 51607, 51145, 51540, 50848, 53413, 52257, 51077, 53085, 56769, 50791, 55265, 53085, 56769, 50438, 51808, 51103, 50462, 51607, 50918, 51540, 51280, 51243, 51232, 51243, 51099, 51313, 51429, 51293, 51275, 51307, 50868, 51717, 52257, 51103, 53085, 54454, 50417, 53085, 54454, 50438, 51808, 51591, 50462, 51607, 51446, 51540, 51280, 55844, 51232, 57820, 51099, 53380, 51153, 53259, 51489, 53363, 52257, 50918, 53085, 52311, 50791, 55265, 53085, 52311, 50438, 51808, 50918, 53399, 52195, 50441, 53399, 51551, 50462, 51607, 51446, 52235, 51472, 50465, 52235, 51336, 51540, 52419, 52024, 51708, 52096, 51280, 52121, 51232, 51717, 51099, 51717, 51153, 52250, 51489, 52121, 52257, 51077, 51992, 55362, 50417, 51992, 55362, 50438, 51808, 51803, 50462, 51607, 51291, 51540, 52257, 51077, 51992, 52208, 70561, 55265, 51992, 52208, 50438, 51280, 51472, 51232, 51591, 51808, 51623, 50462, 51099, 51745, 51607, 51077, 51971, 51127, 50465, 51971, 51675, 51540, 51232, 51717, 51119, 52149, 52257, 51183, 52235, 52024, 50417, 52235, 52024, 50438, 51808, 51591, 50462, 51607, 51397, 51540, 52257, 59770, 52676, 51808, 51077, 50462, 51607, 51413, 51756, 52097, 50465, 51756, 51527, 51540, 51140, 52122, 51876, 51717, 51280, 52121, 51144, 52121, 51099, 51717, 51153, 52149, 52257, 51358, 52235, 52379, 50417, 52235, 56769, 50438, 51808, 51358, 50462, 51607, 50818, 51607, 51291, 51540, 51440, 51452, 52257, 51336, 52235, 52369, 50791, 55265, 52235, 52369, 50438, 51434, 51717, 51808, 50918, 50462, 51515, 51717, 51607, 51446, 52235, 51241, 50465, 52235, 51218, 51540, 51140, 52121, 51614, 53082, 52257, 51077, 52235, 52827, 50417, 52235, 53174, 50438, 51808, 51077 ]
[ 0, 250, 2635, 8, 5679, 26709, 5175, 19834, 4246, 10, 13305, 483, 7513, 30, 3459, 9590, 6, 38668, 11212, 6, 6755, 12547, 6, 8, 5730, 2342, 4467, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 9066, 5466, 10686, 13, 33558, 50, 822, 38270, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 53028, 50821, 51544, 79161, 50812, 52320, 50812, 56807, 53531, 50319, 70606, 73453, 51469, 53953, 51353, 56679, 51151, 53361, 51293, 56336, 51151, 79579, 52422, 50906, 53177, 50319, 76110, 54729, 51081, 55246, 50906, 54362, 51001, 53177, 50324, 64609, 58833, 50951, 67286, 72341, 63962, 50931, 56860, 67564, 55694, 51527, 50931, 75677, 51336, 50902, 51336, 53679, 51047, 52583, 51047, 55796, 51047, 53361, 62479, 50931, 55214, 50906, 52322, 51026, 53531, 50323, 53177, 50318, 69797, 51016, 53679, 51047, 56643, 50915, 53465, 51003, 56336, 57197, 50931, 52530, 50315, 52530, 50318, 51958, 50303, 51054, 54008, 50915, 56470, 50915, 55796, 51003, 57923, 72502, 51196, 50876, 51551, 50906, 51551, 53465, 51183, 53460, 51047, 56679, 51047, 52507, 51145, 63766, 52247, 50902, 54729, 50906, 58395, 50906, 51336, 51001, 52370, 50302, 51356, 53679, 51183, 54522, 51047, 53361, 51183, 52693, 70268, 50931, 52610, 50902, 55764, 50906, 50879, 58526, 51356, 50861, 51336, 50876, 50879, 65143, 51183, 52507, 51183, 54165, 51183, 53465, 51183, 53953, 51047, 58973, 52247, 51001, 55214, 50931, 55122, 50902, 51336, 50951, 75050, 51551, 50906, 51196, 53361, 51047, 52693, 51145, 54522, 63897, 50931, 55967, 50770, 50321, 54209, 55230, 51001, 50879, 50903, 54698, 54712, 50902, 64503, 50798, 50894, 57923, 52370, 50307, 50896, 56336, 50915, 56679, 51003, 53361, 50981, 56464, 72808, 50791, 54892, 51081, 50923, 52817, 52801, 53527, 50950, 50770, 50321, 52964, 55229, 50931, 63461, 62571, 51013, 54467, 50795, 55796, 50915, 53361, 51003, 53679, 61701, 54698, 51739, 54440, 67564, 52817, 59618, 51081, 51739, 77451, 52756, 51012, 62204, 74198, 52297, 50319, 50893, 53465, 51003, 52507, 51003, 56679, 51003, 56464, 69824, 50791, 54586, 51001, 50858, 52817, 52516, 57152, 51081, 50859, 52756, 50817, 50770, 50321, 54209, 78055, 50448, 52817, 71540, 54375, 50908, 52756, 53409, 50997, 53177, 50318, 57952, 51090, 54324, 51221, 53361, 50981, 52693, 50915, 53679, 61737, 54698, 51739, 54712, 50902, 51508, 57308, 77053, 53200, 52304, 50894, 56178, 51551, 51176, 51196, 50876, 51551, 50965, 51336, 53664, 50879, 54165, 51183, 53465, 51183, 53953, 51145, 56464, 72808, 50791, 54892, 53200, 53960, 57852, 50770, 50321, 54209, 51739, 54631, 54324, 50879, 50903, 54698, 51739, 54440, 52756, 58395, 50906, 51527, 50997, 51336, 50951, 50923, 52817, 50805, 53361, 51183, 52693, 51047, 53679, 51183, 56464, 50949, 51572, 69824, 50791, 54586, 50931, 50806, 52756, 53417, 57152, 50770, 50321, 54209, 51739, 75557, 54324, 63589, 51001, 70693, 54698, 51739, 54712, 50902, 50923, 53200, 64959, 56464, 50894, 57923, 78171, 51054, 54942, 50911, 53361, 50915, 56679, 50915, 56336, 50981, 56464, 72808, 50791, 54892, 51081, 50893, 52817, 55747, 53527, 50858, 50770, 50321, 52964, 50949, 53337, 72117, 76932, 51016, 54467, 50795, 55796, 50915, 53679, 51003, 53361, 61701, 54698, 51739, 54440, 51001, 50859, 52817, 62960, 51081, 51508, 55734, 50876, 74198, 53177, 50319, 50806, 52756, 51286, 56679, 51003, 52507, 51003, 53465, 51003, 56464, 69824, 50791, 54586, 51001, 50859, 52817, 51594, 57152, 51081, 50821, 50770, 50321, 54209, 78055, 50448, 52756, 51031, 52817, 60374, 52756, 52396, 50997, 53177, 50314, 73988, 50911, 54324, 51194, 52693, 50915, 53679, 50915, 53361, 61701, 54698, 51739, 54712, 50902, 52153, 57308, 51001, 52189, 50894, 57190, 51551, 50876, 51356, 51176, 51196, 50956, 51196, 53953, 51183, 53465, 51145, 54165, 51183, 56464, 72808, 50791, 54892, 53664, 52189, 57852, 53200, 50894, 50770, 50321, 54209, 51739, 54631, 54324, 59899, 54698, 51739, 54440, 52756, 55122, 50997, 51336, 50906, 51196, 50951, 50879, 52817, 50795, 53679, 51047, 52693, 51145, 53361, 51047, 56464, 50949, 51572, 69824, 50791, 54586, 50931, 50806, 52756, 56022, 57152, 50770, 50321, 54209, 51739, 55230, 51001, 50806, 54324, 58713, 54698, 51739, 56328, 53200, 53875, 78121, 53200, 60343, 54324, 51747, 78055, 55563, 62667, 53177, 50288, 53531, 50300, 68638, 52530, 50307, 79981, 50896, 53200, 51505, 53465, 51003, 52507, 50915, 53953, 51003, 56464, 72808, 50791, 68936, 54324, 57572, 50770, 50321, 52964, 55229, 51186, 52530, 50302, 52530, 50318, 68669, 53531, 50314, 53531, 50290, 50896, 53679, 50915, 53361, 51003, 52693, 63184, 54698, 78055, 50427, 53200, 65174, 53200, 56966, 54324, 51049, 50894, 55208, 51160, 50871, 51160, 50902, 51235, 51214, 51160, 51026, 51238, 50906, 51235, 53361, 51255, 52693, 51203, 53679, 51203, 56464, 64916, 53200, 51138, 50443, 50791, 54586, 54324, 53710, 57152, 51325, 51226, 51176, 51294, 50861, 51294, 50876, 51541, 51503, 51573, 50956, 51573, 54165, 51134, 52507, 51134, 53953, 51134, 53465, 51134, 50770, 50321, 54209, 51739, 75557, 53664, 51798, 50903, 54698, 51739, 54712, 52756, 51739, 57308, 54324, 51582, 50894, 55563, 73453, 52297, 50288, 74129, 53177, 50316, 78828, 53531, 50300, 51016, 53200, 51054, 53465, 50915, 53953, 50915, 52507, 55530, 51739, 72808, 50791, 72086, 57852, 50770, 50321, 54209, 51739, 54631, 51186, 51235, 50997, 51238, 50906, 51460, 50902, 51235, 51234, 51460, 50871, 51238, 54324, 50991, 53679, 51203, 52693, 51255, 53361, 51203, 50903, 54698, 51739, 56966, 51105, 51685, 50906, 51285, 50861, 51196, 51197, 51896, 50902, 51274, 52046, 52282, 54942, 51343, 53361, 51452, 53679, 51452, 52507, 51452, 53953, 51452, 51450, 51739, 50949, 51572, 69824, 50791, 74510, 57152, 51001, 50859, 50770, 50321, 54209, 51739, 55230, 50902, 51090, 50903, 54698, 51739, 56328, 50906, 51238, 72786, 50806, 52756, 58561, 50956, 50894, 54324, 52972, 78055, 55563, 62596, 51958, 50300, 53177, 50307, 53177, 50312, 52530, 50288, 66677, 51090, 53200, 50923, 53465, 50915, 52507, 50915, 53953, 55530, 51739, 72808, 50791, 54892, 54324, 53471, 50770, 50321, 52964, 55229, 51186, 51958, 50290, 52530, 50302, 52530, 50318, 53531, 50309, 53177, 50314, 51016, 53200, 50923, 52693, 51003, 53679, 50981, 53361, 61701, 54698, 51739, 54440, 53200, 55632, 54324, 51049, 50894, 55208, 51427, 50906, 51238, 51026, 51460, 50871, 51160, 51214, 51460, 50902, 51235, 53200, 51012, 52693, 51203, 53361, 51203, 53679, 51255, 56464, 69824, 50791, 54586, 54324, 52201, 57152, 51325, 51226, 51503, 51362, 50861, 51541, 50956, 51294, 50876, 51226, 51176, 51226, 53953, 51351, 52507, 51134, 53465, 51134, 54165, 51391, 50770, 50321, 54209, 51739, 55230, 54942, 51158, 50903, 54698, 78055, 51453, 57308, 54324, 51421, 50894, 55563, 73453, 53177, 50312, 52297, 50288, 69797, 70514, 50882, 51176, 62667, 51016, 53200, 51012, 52507, 51003, 53465, 51003, 53953, 55530, 51739, 61429, 50899, 50923, 50419, 50791, 54892, 54324, 51575, 57852, 50956, 50859, 50770, 50321, 54209, 51739, 54631, 51186, 51160, 50871, 51427, 50997, 51460, 51234, 51238, 50906, 51235, 50899, 51235, 53200, 50911, 52583, 51203, 52693, 51255, 53361, 51203, 50903, 54698, 51739, 54440, 54324, 56535, 51105, 51977, 50906, 51160, 50861, 52282, 52046, 52311, 50899, 51541, 51197, 51977, 53527, 50923, 52583, 51790, 53361, 51790, 52507, 51790, 53953, 51452, 51450, 51739, 59120, 50906, 51285, 54467, 52189, 69824, 50791, 54586, 50871, 50882, 52817, 51739, 57152, 50899, 50879, 52756, 51566, 50770, 50321, 54209, 51739, 55230, 50899, 51016, 50903, 54698, 51739, 56328, 50871, 52935, 50906, 66120, 53527, 53690, 78055, 52354, 51551 ]
[ 0, 250, 15352, 30054, 8, 20425, 3495, 13305, 2125, 11, 274, 538, 6, 42, 765, 2214, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 274, 119, 6, 272, 119, 6, 230, 6, 8, 211, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50997, 67738, 61816, 51091, 60284, 54919, 50997, 67738, 54725, 51050, 61178, 51091, 62335, 67738, 55700, 51050, 55178, 50997, 67738, 62054, 67523, 51050, 50865, 53975, 62164, 70459, 51091, 56978, 50865, 53523, 62164, 54725, 51026, 61816, 51091, 55203, 62164, 55700, 51026, 55178, 50900, 62164, 70459, 55037, 51026, 73027, 50865, 54206, 62054, 71389, 51358, 56945, 50865, 53337, 62054, 54725, 51027, 54930, 51040, 62054, 55700, 50997, 55178, 51040, 62054, 51828, 50325, 55037, 50997, 51828, 50326, 50865, 53975, 62164, 71389, 51358, 56978, 50865, 53523, 62164, 54725, 51026, 54930, 51027, 62054, 50865, 55513, 55178, 51027, 62054, 73027, 67523, 50900, 50865, 54955, 79658, 70459, 51358, 54569, 54919, 51026, 79658, 54725, 50899, 54930, 51026, 79658, 55700, 50899, 55178, 51026, 79658, 51828, 50325, 67523, 50899, 50865, 53975, 62164, 51828, 50326, 51291, 55902, 50865, 53523, 62164, 54725, 50861, 54930, 50900, 62164, 71676, 51048, 58365, 55178, 50900, 62164, 70459, 67523, 50861, 50865, 56178, 61336, 64806, 56202, 50906, 51048, 63174, 52262, 50906, 51091, 55898, 63656, 56811, 50876, 55037, 50902, 51291, 53975, 72424, 62715, 51001, 52262, 50931, 59067, 50997, 65842, 56027, 51146, 51798, 51405, 51923, 51339, 50807, 56178, 50865, 55902, 64122, 71027, 51631, 50861, 64122, 50809, 51405, 51736, 50861, 61178, 51828, 50333, 52424, 50956, 55700, 50861, 64122, 71027, 51798, 50861, 64122, 50809, 51405, 51923, 50861, 61178, 51828, 50333, 50918, 54206, 50865, 55961, 64122, 52329, 50871, 64122, 52359, 50871, 61178, 51828, 50337, 50983, 55898, 55700, 50871, 64122, 52555, 50871, 64122, 50809, 52052, 55037, 50871, 61178, 51828, 50333, 51161, 53975, 50865, 55902, 64122, 52329, 50861, 64122, 52359, 50861, 61178, 54930, 50899, 55700, 50871, 60191, 50809, 51405, 52728, 50871, 60191, 52485, 50871, 67048, 51828, 50330, 51358, 54594, 56202, 50906, 61936, 52329, 50906, 61936, 52359, 50906, 70459, 54930, 50871, 55700, 50906, 61936, 71027, 51798, 50906, 61936, 50809, 51405, 51923, 50906, 70459, 51828, 50333, 50807, 56178, 50865, 55902, 64122, 71027, 51631, 50861, 64122, 50809, 51405, 51736, 50861, 61178, 51828, 50333, 52424, 50956, 55700, 50861, 64122, 71027, 51798, 50861, 64122, 50809, 51405, 51923, 50861, 61178, 51828, 50333, 50918, 54206, 50865, 55961, 64122, 52329, 50871, 64122, 52359, 50871, 61178, 51828, 50338, 51358, 57267, 55700, 50906, 61936, 52555, 50906, 61936, 52485, 50906, 61936, 50809, 55524, 72400, 51487, 56202, 51814, 51631, 50956, 57543, 50807, 52052, 54725, 51487, 51048, 55898, 61336, 56027, 51146, 67523, 51487, 51291, 56178, 55890, 52910, 50871, 57543, 53182, 52128, 52262, 51487, 51724, 50861, 72400, 51339, 51036, 60027, 72778, 55694, 56831, 52910, 50876, 63161, 52424, 50902, 59351, 52728, 51001, 61241, 50807, 55435, 73027, 51091, 51062, 51091, 55961, 50865, 53337, 54725, 50871, 70459, 51091, 51081, 51091, 62335, 55700, 50871, 55178, 50899, 70459, 51048, 50931, 67523, 50871, 50865, 55435, 71389, 51091, 51146, 51091, 55902, 54919, 50956, 54725, 50861, 73027, 51091, 51062, 51091, 62335, 55700, 50861, 55178, 50956, 71389, 51828, 50330, 55037, 50861, 71676, 51828, 50331, 50865, 54206, 51828, 50325, 51358, 51339, 51358, 57340, 50865, 53645, 54725, 50877, 54930, 51040, 51828, 50326, 65455, 50906, 55178, 50871, 51828, 50328, 51828, 50337, 55037, 50906, 51828, 50329, 51828, 50338, 50865, 53975, 51828, 50326, 51358, 51339, 51358, 55902, 54919, 50956, 54725, 50861, 54930, 50871, 55700, 50876, 55178, 50877, 51828, 50325, 51048, 51405, 67523, 50876, 50865, 54955, 51828, 50326, 51091, 51146, 51091, 54569, 54919, 50997, 54725, 50899, 51828, 50330, 51091, 51487, 51091, 55203, 55700, 50861, 55178, 50956, 51828, 50326, 51048, 51146, 67523, 50861, 50865, 53975, 51828, 50325, 51828, 50328, 50865, 55902, 71676, 51291, 51081, 51291, 56040, 54725, 50861, 54930, 51050, 55700, 50956, 55178, 50900, 71676, 51492, 51081, 51492, 50456, 50956, 50865, 56178, 61336, 50918, 55898, 57055, 52728, 50900, 60821, 50807, 58106, 50997, 51036, 50899, 51036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 4688, 5175, 2214, 19, 10, 182, 1769, 20889, 6, 4246, 10, 486, 118, 9877, 483, 6, 38668, 483, 6, 8, 13305, 4, 20, 6711, 16, 15352, 30054, 6, 20425, 6, 8, 7630, 36041, 9, 10, 177, 19834, 4, 8504, 11, 5, 762, 9, 381, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 33215, 16739, 9, 272, 6, 211, 6, 1918, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50799, 53441, 66087, 57422, 50916, 57422, 50877, 57422, 50420, 53441, 51620, 53441, 52559, 53441, 54773, 53441, 54811, 53441, 51757, 53441, 52643, 53441, 50800, 50799, 53441, 52734, 53441, 53950, 53441, 53974, 53441, 54773, 53441, 54811, 53441, 54721, 53441, 54353, 53441, 50859, 50799, 53441, 51835, 53378, 53950, 53931, 51628, 53378, 54773, 54256, 51820, 54495, 51757, 53931, 51754, 53378, 50800, 50799, 53441, 51835, 53378, 53950, 53931, 51628, 53378, 52599, 54025, 54811, 53378, 51757, 56845, 51754, 53378, 50800, 50799, 53747, 51566, 51296, 50821, 53441, 52423, 50817, 53737, 50940, 52331, 66087, 57422, 50916, 57422, 50877, 57422, 50420, 51296, 50821, 53378, 50859, 53737, 50921, 52331, 56667, 51296, 50858, 53931, 51907, 51031, 53737, 50921, 52331, 52686, 53747, 51500, 51296, 50821, 53378, 50800, 53737, 50921, 52331, 59266, 51296, 50859, 54256, 53841, 50817, 53737, 50830, 52331, 55489, 51296, 50882, 54495, 50800, 53737, 51033, 52331, 56604, 77889, 57686, 53931, 51907, 51031, 53737, 50910, 52331, 54166, 53930, 50830, 51296, 50882, 53378, 50800, 53737, 50921, 52331, 50930, 50799, 53747, 51290, 57686, 53441, 52423, 50817, 53737, 50830, 52331, 52628, 51296, 50859, 53378, 50800, 53737, 50921, 52331, 54392, 54737, 53931, 54047, 50817, 53737, 50897, 52331, 51628, 53747, 51160, 51296, 50821, 53378, 50808, 53737, 50921, 52331, 54459, 57686, 54025, 53841, 50817, 53737, 50952, 52331, 51820, 51296, 50859, 53378, 50859, 53737, 50940, 52331, 54755, 53631, 51030, 54737, 56845, 51907, 50817, 53737, 50910, 52331, 51754, 53930, 51158, 51296, 50821, 53378, 50859, 53737, 50940, 52331, 50887, 50799, 53747, 51566, 51296, 50859, 53441, 52423, 51031, 53737, 50940, 52331, 52734, 51296, 50821, 53378, 50859, 53737, 50952, 52331, 53939, 54737, 53931, 54047, 50817, 53737, 50910, 52331, 51628, 53747, 51500, 51296, 50859, 53378, 50800, 53737, 50921, 52331, 55395, 57686, 54256, 53841, 50817, 53737, 50952, 52331, 52510, 51296, 50882, 54495, 50808, 53737, 51014, 52331, 54411, 77889, 51296, 50858, 53931, 54047, 51031, 53737, 50940, 52331, 55433, 53930, 50830, 51296, 50821, 53378, 50800, 53737, 50940, 52331, 50880, 50799, 53747, 51073, 51296, 50858, 53441, 53841, 50817, 53737, 50921, 52331, 54658, 57686, 53378, 50808, 53737, 50940, 52331, 52329, 51296, 50858, 53931, 52764, 50817, 53737, 50830, 52331, 54937, 53747, 51235, 51296, 50821, 53378, 50859, 53737, 50921, 52331, 55395, 51296, 50821, 54025, 52218, 51031, 53737, 50921, 52331, 55489, 51296, 50858, 53378, 50859, 53737, 50921, 52331, 54411, 53631, 51030, 57686, 56845, 51907, 50817, 53737, 50952, 52331, 54353, 53930, 51173, 51296, 50858, 53378, 50808, 53737, 50940, 52331, 50821, 71568, 51158, 66008, 54256, 52218, 50817, 52468, 50830, 51482, 63891, 57422, 50989, 57422, 50877, 57422, 50420, 51155, 50821, 52468, 50940, 51482, 54149, 53133, 50795, 66008, 54256, 51907, 50949, 52468, 50830, 51482, 53974, 51155, 50821, 52468, 51033, 51482, 56341, 53133, 51158, 66008, 54256, 53841, 50817, 52468, 50830, 51482, 55489, 51155, 50858, 52468, 50940, 51482, 68168, 54256, 52741, 53133, 50893, 51155, 52764, 51031, 52468, 50910, 51482, 52955, 66008, 52468, 50830, 51482, 50809, 71568, 50806, 51155, 50833, 54256, 52218, 50817, 52468, 50897, 51482, 54878, 51155, 50859, 52468, 50952, 51482, 54392, 53133, 51173, 51155, 50812, 54256, 52764, 50817, 52468, 50897, 51482, 53695, 51155, 50859, 52468, 50940, 51482, 52444, 53133, 50795, 51155, 50858, 54256, 52218, 51031, 52468, 50830, 51482, 55489, 51155, 50858, 52468, 50830, 51482, 51757, 53133, 51192, 51155, 50812, 54256, 54047, 51031, 52468, 50830, 51482, 51754, 51155, 50882, 52468, 50921, 51482, 50821, 60652, 50858, 53737, 50830, 52331, 66087, 57422, 50916, 57422, 50877, 57422, 50420, 51296, 50950, 53737, 51014, 52331, 57480, 51296, 52423, 50817, 53737, 50830, 52331, 53695, 51296, 50858, 53737, 50952, 52331, 54957, 57686, 53737, 50830, 52331, 51820, 57686, 53737, 50830, 52331, 52555, 51296, 53097, 51759, 50825, 53737, 50910, 52331, 53875, 54737, 53737, 50910, 52331, 50809, 60652, 51049, 52611, 53737, 50940, 52331, 55777, 57686, 53737, 50830, 52331, 52329, 51296, 52218, 51031, 53737, 50910, 52331, 52359, 51296, 50858, 53737, 50940, 52331, 54957, 54737, 53737, 50910, 52331, 52510, 57686, 53737, 50830, 52331, 52741, 51296, 53841, 51759, 50825, 53737, 50952, 52331, 54663, 51296, 50859, 53737, 50910, 52331, 50808, 50799, 57179, 51138, 51296, 51049, 52611, 53737, 50940, 52331, 72528, 57422, 50916, 57422, 50877, 57422, 50420, 53517, 51045, 57686, 53737, 50910, 52331, 53425, 54040, 51014, 51296, 52423, 50817, 53737, 50910, 52331, 59099, 53698, 51033, 51296, 50859, 53737, 50940, 52331, 54773, 51296, 50858, 53737, 50940, 52331, 55900, 54040, 57816, 54737, 53737, 50830, 52331, 51757, 51296, 53287, 51759, 50835, 53737, 50940, 52331, 54418, 51296, 50858, 53737, 50952, 52331, 50858, 60652, 51508, 52611, 53737, 50940, 52331, 54718, 51296, 50812, 53737, 50910, 52331, 52710, 54040, 51045, 51296, 53841, 50817, 53737, 50940, 52331, 51628, 53698, 51045, 51296, 50812, 53737, 50897, 52331, 51724, 51296, 50821, 53737, 50940, 52331, 66972, 54040, 51483, 50444, 51296, 50812, 53737, 50925, 52331, 55620, 51296, 53287, 51759, 50825, 53737, 50921, 52331, 54353, 53921, 52468, 50897, 51482, 62516, 53517, 50882, 63203, 52189, 52445, 52468, 50830, 51482, 72368, 53700, 50989, 53700, 50877, 53700, 50415, 57641, 68360, 53921, 52468, 50830, 51482, 65992, 53517, 54631, 54040, 51045, 51155, 53287, 50817, 52468, 50952, 51482, 54154, 53698, 50940, 51155, 50833, 52468, 50942, 51482, 54181, 54040, 51505, 51155, 50858, 52468, 50952, 51482, 54651, 51155, 50833, 52468, 50897, 51482, 53639, 51155, 53841, 51759, 50825, 52468, 50940, 51482, 58133, 51063, 50821, 51211, 51095, 51854, 51175, 51622, 51354, 51830, 50940, 51368, 50858, 64440, 52189, 52611, 51830, 50830, 51368, 50858, 51086, 53700, 50899, 53700, 50861, 53700, 50420, 51063, 50854, 51830, 50897, 51368, 53049, 54040, 50950, 51063, 53530, 50817, 51830, 50897, 51368, 52749, 54040, 50940, 53713, 51830, 50897, 51368, 53219, 53698, 51388, 51063, 50833, 51830, 50925, 51368, 54207, 67112, 51830, 50830, 51368, 51757, 51063, 54312, 51759, 50837, 51830, 50942, 51368, 53920, 57179, 50950, 51155, 50833, 52468, 50942, 51482, 50812, 60652, 52153, 52445, 53737, 50940, 52331, 66087, 57422, 50916, 57422, 50877, 57422, 50415, 57179, 72207, 51296, 50812, 53737, 50910, 52331, 64729, 53517, 54631, 51296, 52218, 51031, 53737, 50952, 52331, 50910, 50427, 54040, 65846, 51296, 50859, 53737, 50830, 52331, 68484, 53698, 56360, 57686, 53737, 50952, 52331, 66972, 54040, 51388, 50444, 54737, 53737, 50952, 52331, 52741, 51296, 53841, 51759, 50837, 53737, 50952, 52331, 51754, 51296, 50858, 53737, 50830, 52331, 50800, 60652, 52189, 52445, 53737, 50940, 52331, 54681, 51296, 50812, 53737, 50830, 52331, 65992, 53517, 54631, 54040, 50936, 51296, 52218, 51031, 53737, 50952, 52331, 54154, 54737, 53737, 50897, 52331, 57659, 53698, 53402, 54040, 51653, 51296, 50821, 53737, 50940, 52331, 54651, 54737, 53737, 50897, 52331, 55620, 53517, 51460, 51296, 53558, 51759, 50825, 53737, 51033, 52331, 54353, 51155, 50833, 52468, 50925, 51482, 50833, 50799, 57641, 50921, 51155, 51049, 52611, 52468, 50830, 51482, 72368, 53700, 50989 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 272, 538, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 23338, 33518, 1264, 6, 8, 21072, 6, 20307, 149, 10, 13931, 9, 1918, 406, 6, 211, 406, 6, 83, 406, 6, 211, 406, 6, 8, 272, 40286, 23, 41, 1614, 1073, 1020, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 6, 10686, 13, 10, 1144, 26016, 822, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 51251, 77105, 50824, 51165, 50824, 51182, 59889, 51629, 56733, 51182, 53537, 51699, 50824, 51375, 50824, 51165, 50824, 51201, 50993, 50434, 51395, 53925, 51299, 50824, 51088, 50824, 51093, 50823, 51395, 59650, 51107, 50823, 51201, 63999, 51093, 50823, 51395, 52116, 51426, 50824, 51165, 50824, 51107, 77567, 51093, 50860, 50799, 52371, 51009, 51299, 51009, 51154, 51009, 51113, 50860, 51113, 51009, 50418, 51165, 58026, 51093, 53537, 51395, 53663, 51699, 51009, 51154, 51009, 51357, 51009, 51107, 50823, 51107, 51009, 50442, 51394, 56695, 51629, 50823, 51558, 52568, 51182, 51072, 50799, 52143, 51009, 51699, 51009, 51426, 51009, 51088, 59889, 51395, 56733, 51107, 53537, 51357, 58656, 51093, 55996, 51629, 53925, 51699, 50823, 51357, 51009, 51201, 51009, 51182, 51009, 50442, 51301, 56695, 51251, 53798, 51794, 60111, 51251, 56250, 51088, 50823, 50799, 51887, 51009, 51299, 51009, 51375, 51009, 51093, 59889, 51629, 56733, 51182, 53537, 51201, 58656, 51266, 55996, 51182, 53925, 52316, 50823, 51093, 51009, 51201, 51009, 50442, 51375, 56695, 51088, 53798, 51154, 60111, 51299, 54178, 50624, 50458, 52316, 50823, 78936, 50824, 51638, 50824, 51301, 50824, 51093, 59889, 51488, 56733, 51093, 53537, 52143, 50824, 51794, 50824, 51301, 50824, 51165, 73637, 51375, 53925, 51887, 50824, 51299, 77105, 50823, 51375, 59650, 51088, 50823, 51165, 56695, 80156, 51375, 54554, 52316, 50824, 51299, 50824, 51088, 50976, 50454, 50623, 50455, 50623, 50456, 50623, 50458, 50623, 51154, 57239, 50623, 50460, 50623, 50461, 50623, 50799, 52143, 51184, 51638, 50975, 51299, 50823, 51301, 66305, 50622, 50416, 50622, 50417, 50622, 50418, 51301, 50823, 51088, 68159, 50622, 50420, 50622, 50421, 50622, 50422, 50622, 52316, 50823, 51491, 50823, 51113, 53537, 51699, 51352, 51301, 51352, 51165, 51352, 50450, 50624, 50458, 50623, 50459, 50623, 50460, 50623, 50461, 50622, 61791, 52371, 50824, 51299, 77105, 66305, 50622, 50416, 50622, 50418, 51088, 56733, 51113, 53537, 50624, 52776, 51352, 51251, 51352, 51154, 51352, 51357, 51352, 56103, 50916, 51009, 50968, 51009, 51430, 51009, 52143, 51352, 51299, 51009, 51301, 51009, 51332, 65259, 57520, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 51699, 51352, 50885, 59568, 59583, 51383, 51242, 50913, 52030, 50964, 51670, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 51301, 51029, 51088, 51029, 51332, 65259, 57520, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 79565, 59583, 51383, 59598, 50802, 53615, 54098, 51001, 50802, 51405, 50802, 53919, 50802, 51357, 67798, 76957, 77377, 50802, 57289, 51184, 51430, 51184, 55226, 51184, 52143, 68308, 51184, 51266, 51184, 51332, 65259, 57520, 51059, 51383, 50978, 50913, 52410, 51699, 76957, 54608, 60449, 51383, 63339, 51170, 53803, 51883, 56471, 59568, 59583, 51383, 51242, 50913, 52030, 52065, 71758, 52220, 55364, 51242, 50920, 52125, 51251, 50802, 51332, 65259, 61846, 51059, 51383, 59598, 52313, 51299, 76957, 51242, 50920, 52175, 52065, 56471, 59568, 59583, 51383, 59598, 50802, 53615, 54098, 51883, 76957, 77377, 50802, 57844, 50976, 51220, 50976, 53117, 50976, 52143, 51009, 51699, 51009, 51301, 51009, 51357, 50975, 51332, 65259, 57520, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 50902, 50975, 51146, 50975, 52912, 50975, 51107, 50975, 51383, 63339, 51170, 53803, 50885, 59568, 59583, 51383, 51242, 50913, 71692, 67595, 51062, 50975, 52357, 50975, 51093, 59959, 50964, 52466, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 52830, 50824, 51299, 51009, 51088, 51029, 51332, 65259, 56681, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52481, 79565, 59583, 51383, 59598, 50802, 53615, 54098, 50989, 71804, 50802, 51787, 50802, 51491, 76957, 77377, 50802, 54578, 51795, 50931, 51795, 51339, 51795, 52371, 51029, 52065, 51184, 51154, 51184, 50988, 62455, 57044, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 50848, 59583, 64191, 51383, 51242, 50913, 52030, 51883, 60011, 51670, 55364, 51242, 50920, 52125, 51699, 67507, 62455, 57044, 50823, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 58173, 59583, 64191, 51383, 59598, 50802, 53615, 54098, 51170, 77377, 50802, 54578, 51009, 50931, 51009, 51339, 51009, 52371, 51352, 51299, 51184, 51154, 51009, 51154, 51184, 51171, 68342, 57044, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 51883, 51352, 50848, 58602, 58051, 51383, 51242, 50913, 52030, 50927, 51520, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 51088, 51029, 51171, 68342, 61846, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52371, 58173, 58602, 58051, 51383, 59598, 50802, 53615, 54098, 50877, 63378, 50802, 51814, 69379, 76957, 77377, 50802, 57844, 51352, 51220, 51352, 53117, 51352, 52776, 67028, 51184, 51154, 51184, 51357, 51184, 50988, 62455, 57044, 51059, 51383, 50978, 50913, 52410, 52371, 76957, 54608, 60449, 51383, 63339, 51170, 53803, 51699, 56304, 59583, 64191, 51383, 51242, 50913, 52030, 51883, 60011, 51520, 55364, 51242, 50920, 52125, 52065, 61265, 62455, 57520, 51059, 51383, 59598, 52313, 51883, 76957, 51242, 50920, 52175, 51699, 58173, 59583, 64191, 51383, 59598, 50802, 53615, 54098, 51170, 77377, 50802, 54852, 50976, 50999, 50976, 51814, 50976, 52371, 51009, 51883, 51009, 51299, 51009, 51113, 50975, 51171, 68342, 57520, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 76513, 50951, 50976, 51487, 50976, 51088, 50975, 51383, 63339, 51170, 53803, 50848, 58602, 58051, 51383, 51242, 50913, 71692, 50989, 50976, 51114, 50976, 51787, 50976, 51491, 59959, 50927, 52466, 55364, 51242, 50920, 52125, 50871, 51029, 50931, 51029, 51339, 51029, 51699, 50824, 52065, 51029, 51154, 51029, 51088, 51029, 50988, 62455, 57520, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 58173, 59583, 64191, 51383, 59598, 50802, 53615, 54098, 50931, 77277, 50802, 52956, 69379, 50802, 51357, 70287, 60011, 69425, 77377, 50802, 57289, 51184, 51430, 51184, 55226, 51184, 52143, 51029, 51088, 51184, 51093, 51184, 51266, 51184, 51332, 65259, 57044, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 50868, 59583, 68574, 51383, 51242, 50913, 52030, 51883, 71758, 51670, 55364, 51242, 50920, 52125, 51699, 50824, 51332, 65259, 61846, 50823, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 59568, 59583, 68574, 51383, 59598, 50802, 53615, 54098, 51170, 77377, 50802, 55524, 51009, 50968, 51009, 51430, 51009, 52143, 51352, 51299, 51009, 51301, 51009, 51332, 65259, 57520, 59739, 51184, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 51699, 51352, 50868, 59583, 68574, 51383, 51242, 50913, 52030, 50964, 51670, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 51301, 51029, 51088, 51029, 51332, 65259, 61846, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 59568, 59583, 68574, 51383, 59598, 50802, 53615, 54098, 51001, 52035, 50331, 52035, 50343, 50860, 51357, 67798, 76957, 77377, 50802, 57289, 51795, 51430, 51795, 55226, 51795, 52143, 68308, 51184, 51266, 51184, 51332, 65259, 57520, 51059, 51383, 50978, 50913 ]
[ 0, 250, 15352, 30054, 5175, 8, 15855, 1619, 2214, 4246, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 38668, 9590, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 16, 11, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 272, 119, 6, 12608, 6, 8, 274, 406, 6, 2351, 10, 19448, 8, 2829, 2933, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 56020, 51224, 50893, 50428, 51326, 51054, 50440, 51533, 51036, 52257, 50981, 51563, 51183, 51426, 51293, 52650, 55530, 51551, 50856, 51108, 51769, 51080, 55264, 51293, 50453, 52603, 50981, 54969, 62211, 50932, 52177, 54050, 50981, 52866, 51127, 54757, 70946, 50932, 50430, 52603, 50981, 54969, 70946, 51097, 50442, 54258, 50981, 53019, 51103, 53267, 51148, 50856, 50995, 50454, 51727, 50889, 52603, 50915, 51426, 56777, 79089, 50981, 55264, 50905, 53069, 51533, 51036, 53876, 50981, 53729, 51127, 51426, 51293, 52566, 57787, 51551, 50856, 51108, 51769, 51080, 55264, 51293, 50431, 52603, 50915, 54969, 70946, 56350, 54258, 50915, 53019, 51103, 53267, 66560, 56109, 52603, 50981, 54969, 70946, 51097, 52591, 54050, 50981, 52866, 51047, 54757, 70946, 50995, 50433, 51727, 50889, 52603, 50995, 79538, 54969, 57787, 79089, 50981, 55264, 75029, 51533, 51036, 52257, 50981, 51563, 51183, 51426, 51293, 52650, 55530, 51551, 50856, 51108, 51769, 51080, 53159, 51313, 50458, 52603, 50981, 54969, 62211, 50932, 56020, 54050, 50981, 52866, 51127, 54757, 70946, 50932, 50434, 52603, 50981, 54969, 70946, 51097, 50447, 54258, 50981, 53019, 51103, 74973, 53267, 51148, 50856, 50995, 54971, 51148, 50459, 51727, 50889, 52603, 55530, 79089, 50981, 60212, 51533, 51036, 53876, 50981, 53729, 51127, 52626, 51047, 51375, 51148, 51629, 51148, 52566, 57787, 51551, 50856, 51108, 51769, 51080, 53485, 51047, 50436, 52603, 50915, 54969, 70946, 50932, 50448, 54258, 50915, 53019, 51103, 52735, 51047, 74973, 51182, 51047, 53267, 66560, 50932, 54971, 51047, 50461, 52603, 50981, 54969, 70946, 51097, 59412, 54050, 50981, 52866, 51047, 52626, 51047, 51154, 51145, 51201, 51145, 54757, 70946, 50995, 53485, 51047, 57124, 50889, 52603, 50995, 54969, 57787, 79089, 57105, 51338, 52045, 51434, 51047, 61533, 58641, 51551, 50856, 51108, 51769, 51080, 51601, 59907, 64835, 50932, 50427, 51515, 51145, 61106, 69238, 50932, 50440, 50689, 50331, 69238, 51097, 50452, 52027, 51145, 78094, 64835, 50995, 51809, 50689, 50335, 69238, 50981, 50429, 51602, 50918, 51929, 51148, 52866, 51183, 50689, 50336, 66006, 51551, 50856, 51108, 51769, 51080, 71075, 50932, 50454, 51137, 51077, 51434, 51047, 51563, 51127, 50856, 50932, 52478, 50856, 51097, 50430, 51132, 50918, 51515, 51148, 51438, 51183, 54339, 51145, 51299, 51145, 51093, 51145, 50856, 50995, 58083, 51145, 50443, 51769, 50981, 50455, 51533, 51036, 52027, 50981, 54307, 52644, 51426, 53413, 51395, 53413, 50689, 50335, 55998, 51551, 50843, 51097, 55253, 52644, 50461, 78094, 50901, 52591, 52557, 50995, 50689, 50331, 59689, 60324, 59907, 53387, 52027, 50915, 78094, 53946, 51356, 50843, 54498, 55228, 51174, 55039, 51074, 50689, 50331, 61772, 56265, 51210, 50442, 53715, 54682, 51434, 50981, 53472, 50912, 59907, 59689, 51097, 50445, 53748, 62407, 53118, 55854, 52650, 70635, 52890, 70936, 53267, 54823, 52566, 51142, 50451, 52697, 51142, 61533, 70842, 54254, 51330, 50457, 52027, 50915, 50689, 50331, 53946, 51356, 50843, 51097, 51601, 59907, 50873, 50416, 55228, 50851, 55039, 51051, 50418, 56265, 51862, 50419, 53715, 51210, 50421, 51727, 50889, 52557, 50981, 53472, 50907, 61533, 55732, 51090, 50843, 50981, 50422, 53748, 56779, 53118, 77744, 52650, 68014, 52890, 53220, 53267, 69118, 52566, 50851, 50428, 52697, 51142, 58103, 62554, 53260, 51254, 50431, 53000, 51333, 50434, 51533, 52045, 51434, 50915, 53039, 52147, 61533, 64391, 51551, 50843, 51097, 50446, 52027, 50981, 50843, 51097, 50458, 51434, 51148, 57545, 55106, 51356, 50843, 50932, 50460, 55372, 50867, 51601, 58143, 57780, 53647, 63315, 54428, 65643, 53039, 55754, 53016, 50943, 53000, 55716, 51097, 50425, 54254, 64644, 52566, 55863, 53267, 62627, 52650, 65312, 53118, 56579, 53016, 50943, 52027, 58799, 51356, 50843, 51097, 50448, 53016, 50873, 51434, 57787, 51090, 50843, 50981, 50454, 52527, 50845, 50460, 51992, 51518, 51533, 51036, 51773, 50813, 51549, 50981, 51426, 53413, 50798, 51551, 50843, 51097, 55253, 53082, 50799, 52603, 76328, 51773, 53082, 52603, 53082, 52257, 53082, 50424, 64387, 50843, 51097, 50437, 51064, 58799, 51356, 50843, 50932, 50449, 51850, 50943, 51549, 50981, 50843, 51097, 50799, 51850, 51003, 51563, 58799, 51356, 50843, 60324, 51992, 50873, 51533, 50889, 51549, 57787, 51090, 50843, 57547, 52527, 71919, 52527, 51692, 51416, 51036, 51607, 51313, 52603, 51313, 52257, 51293, 71664, 51299, 50995, 53715, 60881, 51551, 50843, 51097, 53485, 51003, 50451, 50929, 50981, 51699, 50995, 50843, 51097, 53159, 50995, 51809, 76084, 51299, 57604, 51356, 50843, 50932, 53485, 50981, 50428, 52527, 51003, 51549, 50981, 51251, 50981, 50843, 51097, 53865, 50981, 50434, 55228, 50892, 50440, 52527, 50914, 52257, 50845, 51563, 50915, 51426, 50995, 53715, 57604, 51356, 50843, 51097, 58083, 50995, 50446, 52603, 65371, 52527, 50901, 51416, 50889, 51607, 50845, 51549, 50981, 51088, 50981, 53715, 57787, 51090, 50843, 50981, 55253, 50981, 50459, 51756, 50845, 51434, 50905, 52177, 51756, 51518, 51602, 51036, 51929, 51293, 51607, 51151, 52603, 51293, 51032, 50981, 52340, 52644, 52316, 53082, 51093, 52644, 50798, 51551, 50843, 51097, 58083, 52644, 50430, 51169, 68753, 51097, 50442, 51032, 58799, 51356, 50843, 50932, 50454, 52527, 51003, 51549, 68753, 51097, 53069, 52527, 51003, 52866, 57604, 51356, 50843, 51097, 50431, 51756, 50873, 51602, 50889, 52603, 50915, 51549, 61011, 51090, 50843, 50981, 50437, 52280, 55322, 51850, 51692, 51727, 51036, 51773, 51293, 51669, 51293, 52327, 51313, 54050, 51151, 51064, 50995, 52036, 52644, 51638, 53413, 51107, 52644, 56265, 52923, 51551, 50843, 51097, 56078, 52644, 50446, 53715, 64598, 53472, 54208, 54969, 66056, 53118, 65556, 52650, 53211, 74376, 54757, 55716, 51097, 50458, 53267, 63298, 52566, 50867, 50799, 52697, 76328, 54254, 64685, 53000, 54657, 51064, 50995, 53039, 54597, 51356, 50843, 50932, 50422, 54740, 63339, 54428, 63829, 53647, 58594, 54723, 62627, 58143, 65312, 53016, 51003, 51067, 50981, 55372, 53800, 51097, 50435, 57545, 59701, 66628, 62293, 63951, 56714, 59886, 62801, 72466, 62120, 53016, 51003, 52327, 50981, 52866, 50915, 50697, 50343, 53352, 51356, 50843, 51097, 50447, 74416, 60062, 50697, 50347, 61081, 50697, 50348, 61192, 50697, 50350, 54583, 50697, 50352, 62616, 53016, 50901, 51727, 50889, 54050, 50981, 51438, 50981, 50697, 50354, 52411, 51090, 50843, 50981, 50460, 50697, 50355, 50813, 50799, 50697, 50357, 68743, 52527, 50873, 50422, 51992, 51183, 51533, 51036, 51773, 51313, 52603, 51313, 52257, 51313, 51549, 50981, 52137, 51518, 51182, 51518, 51426, 68835, 51551, 50843, 51097, 55253, 51293, 50434, 64387, 50843, 51097, 50447, 51064, 58799, 51356, 50843, 50932, 50459, 51850, 50914, 51549, 50981, 53188, 51003, 51629, 78570, 51097, 60212, 51850, 50915, 51137, 50889, 51773, 50981, 52603, 50981, 51563, 50995, 52137, 51003, 51182, 51003, 74973, 50804, 51356, 50843, 51097, 63482, 51145, 50436, 51992, 50901, 51137, 50889, 52603, 50915, 52257, 50995, 51549, 50981, 52036, 51003, 51201, 58955, 51090, 50843, 50981, 50442, 52527, 50849, 50448, 52527, 51127, 51338, 51036, 51607, 52644, 52603, 53082, 52257, 53082, 71664, 52340, 53454, 51299, 52644, 51395, 53454, 50798, 51551, 50843, 51097, 55253, 53082, 50461, 50929, 50981, 50843, 51097, 59412, 51032, 56951, 51356, 50843, 50932 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 41, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 8, 18558, 6, 2351, 10, 11739, 9, 1619, 8, 19448, 6711, 29, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50791, 50883, 51544, 50883, 51570, 50883, 52320, 50883, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 69707, 53336, 52562, 51172, 50986, 52580, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 52788, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 61578, 53675, 52562, 68500, 51846, 54225, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50799, 58999, 79886, 53336, 52562, 69029, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 73143, 58999, 79886, 53675, 52562, 51172, 51136, 52989, 51246, 51172, 51136, 50838, 51169, 53284, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 51169, 53284, 53336, 52562, 51172, 67395, 71546, 51169, 52580, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 52788, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 79886, 53675, 52562, 68500, 51846, 54225, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 79886, 53336, 52562, 69029, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 54498, 58999, 79886, 53675, 52562, 68500, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 69707, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 51381, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 51172, 51136, 54225, 61576, 51910, 53886, 51246, 51172, 51136, 50838, 77217, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 77217, 51602, 51189, 51897, 53336, 52562, 51172, 67395, 71546, 51169, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 50932, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 69707, 61576, 51910, 53886, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 51172, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 51381, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 51172, 51136, 54225, 61576, 51910, 53886, 51246, 51172, 51136, 50838, 77217, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 77217, 51602, 51189, 51897, 53336, 52562, 51172, 67395, 71546, 51169, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 50932, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 69707, 61576, 51910, 53886, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 51172, 51416, 53497, 51041, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 53888, 68493, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 56561, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 51381, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 51172, 51136, 54225, 61576, 51910, 53886, 51246, 51172, 51136, 50838, 77217, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 77217, 51602, 51189, 51897, 53336, 52562, 51172, 67395, 71546, 51169, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 50932, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 69707, 61576, 51910, 53886, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 51172, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 211, 538, 6, 7630, 14805, 10, 1186, 9, 8597, 31, 2933, 8, 11051, 19519, 7, 20425, 8, 25306, 6, 19, 10, 33215, 16739, 14, 1171, 211, 6, 274, 10431, 6, 163, 406, 6, 8, 163, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50433, 50902, 51233, 50902, 51233, 50441, 51114, 51101, 51114, 51101, 50447, 51214, 51194, 51214, 51194, 50951, 51562, 50951, 51562, 50454, 51120, 50813, 51120, 57867, 51086, 51480, 51086, 51480, 52478, 51114, 51178, 51114, 75262, 50968, 51212, 50968, 51212, 50433, 50902, 60379, 54137, 51324, 51642, 51324, 51642, 50439, 50973, 51965, 50973, 51965, 50445, 51026, 50835, 51026, 67099, 50899, 73790, 51108, 52478, 50877, 56943, 50838, 50424, 50973, 51101, 50973, 51101, 50430, 51085, 51233, 51085, 51233, 50431, 50876, 51397, 50876, 51397, 50437, 51026, 51537, 50299, 54305, 50916, 51484, 50916, 51484, 50451, 50973, 51212, 50973, 51212, 50458, 50877, 59023, 50905, 52177, 50861, 58127, 61544, 51279, 51337, 51279, 51337, 50424, 50916, 51775, 50916, 51775, 50430, 51315, 51609, 50296, 63136, 50900, 51637, 50900, 51637, 50437, 50916, 72272, 59783, 59783, 58843, 50916, 51242, 50916, 51242, 51809, 51214, 51212, 51214, 51212, 50899, 67119, 50995, 50422, 51120, 51689, 50294, 58511, 51086, 51419, 51086, 51419, 50861, 51351, 50861, 51351, 50442, 50973, 51101, 50973, 51101, 51378, 51741, 50298, 50981, 50454, 51315, 51178, 51315, 51178, 50455, 50902, 64424, 50914, 50461, 51086, 51177, 51086, 51177, 53069, 50916, 68184, 71946, 73024, 57421, 51220, 51025, 51220, 51025, 50443, 51085, 51177, 51085, 67367, 51220, 51218, 51220, 51218, 50449, 51026, 77184, 53211, 50916, 72272, 72272, 50995, 59733, 51101, 51062, 51101, 51062, 77769, 51220, 51419, 51220, 51419, 51220, 51419, 50432, 50999, 51047, 50433, 51120, 51644, 50294, 51644, 50294, 51644, 50325, 51047, 50999, 60610, 51027, 51537, 50301, 51537, 50301, 60812, 50861, 71395, 71395, 75138, 51753, 50900, 51753, 50900, 51753, 50447, 50861, 71395, 75138, 51753, 50900, 51753, 50461, 50989, 51142, 50989, 51142, 50989, 51142, 50989, 51142, 50989, 51142, 50902, 51242, 50902, 51242, 50902, 51242, 50902, 51242, 50902, 51242, 53975, 62850, 57846, 57846, 57846, 50420, 51114, 51242, 51114, 51242, 51114, 51242, 51114, 51242, 51114, 51242, 50427, 51214, 51423, 51214, 51423, 51214, 51423, 51214, 51423, 51214, 51423, 50428, 50951, 51542, 50951, 51542, 50951, 51542, 50951, 51542, 50951, 51542, 50434, 51120, 50810, 51120, 50810, 51120, 50810, 51120, 50810, 51120, 56532, 51086, 51534, 51086, 51534, 51086, 51534, 51086, 51534, 51086, 51534, 50447, 51114, 51194, 51114, 51194, 51114, 51194, 51114, 51194, 51114, 51194, 50454, 50968, 51177, 50968, 51177, 50968, 51177, 50968, 51177, 50968, 51177, 50461, 50902, 59086, 59086, 59086, 59086, 50857, 52591, 51120, 51043, 51120, 51043, 51120, 51043, 51120, 51043, 51120, 75738, 68026, 68026, 68026, 68026, 75656, 51148, 78872, 78872, 78872, 78872, 50973, 51244, 50973, 51244, 50973, 51244, 50973, 51244, 50973, 51244, 50427, 51027, 51212, 51027, 51212, 51027, 51212, 51027, 51212, 51027, 51212, 69374, 51481, 50900, 51481, 50900, 51481, 50900, 51481, 50900, 51481, 50441, 50899, 62963, 62963, 62963, 62963, 54185, 51214, 52482, 51214, 52482, 51214, 52482, 51214, 52482, 51214, 52482, 50451, 50989, 51252, 50989, 51252, 50989, 51252, 50989, 51252, 50989, 51252, 50877, 55505, 50313, 55505, 50313, 55505, 50313, 55505, 50313, 51824, 50457, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 52177, 51085, 51480, 51085, 51480, 51085, 51480, 51085, 51480, 51085, 51480, 68275, 68275, 68275, 68275, 68275, 50425, 51026, 50822, 51026, 50822, 51026, 50822, 51026, 50822, 51026, 60093, 50916, 68186, 68186, 68186, 68186, 51108, 50440, 50973, 51203, 50973, 51203, 50973, 51203, 50973, 51203, 50973, 51203, 50447, 79378, 79378, 79378, 79378, 50877, 66913, 50916, 52511, 50308, 52511, 50308, 52511, 50308, 52511, 50308, 51166, 51601, 51279, 51412, 51279, 51412, 51279, 51412, 51279, 51412, 51279, 51412, 50416, 78444, 78444, 78444, 78444, 78444, 50423, 51315, 50813, 51315, 50813, 51315, 50813, 51315, 50813, 51315, 55863, 50916, 76371, 76371, 76371, 76371, 63085, 51542, 50900, 51542, 50900, 51542, 50900, 51542, 50900, 51542, 79580, 59783, 59783, 59783, 59783, 50995, 50449, 50916, 61432, 61432, 61432, 61432, 50845, 50455, 51214, 51194, 51214, 51194, 51214, 51194, 51214, 51194, 51214, 51194, 50899, 61861, 61861, 61861, 61861, 50915, 54868, 51689, 50294, 51689, 50294, 51689, 50294, 51689, 50294, 54878, 50861, 63925, 63925, 63925, 63925, 51800, 50303, 51911, 50303, 51911, 50303, 51911, 50303, 51911, 50303, 50995, 50433, 51120, 51519, 50294, 51519, 50294, 51519, 50294, 51519, 50294, 65872, 71123, 71123, 71123, 71123, 51003, 50446, 51324, 51221, 51324, 51221, 51324, 51221, 51324, 51221, 51324, 51221, 50902, 64424, 64424, 64424, 64424, 73559, 51026, 50812, 51026, 50812, 51026, 50812, 51026, 50812, 51026, 54421, 50973, 51194, 50973, 51194, 50973, 51194, 50973, 51194, 50973, 51194, 50951, 51110, 50951, 51110, 50951, 51110, 50951, 51110, 50951, 51110, 50460, 50899, 51397, 50899, 51397, 50899, 51397, 50899, 51397, 50899, 51397, 59412, 51220, 51588, 50327, 51588, 50327, 51588, 50327, 51588, 50327, 62980, 59353, 59353, 59353, 59353, 54233, 50902, 60358, 60358, 60358, 60358, 69474, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 51120, 51194, 51120, 51194, 51120, 51194, 51120, 51194, 51120, 51194, 50445, 51027, 51194, 51027, 51194, 51027, 51194, 51027, 51194, 51027, 51194, 50452, 50877, 51177, 50877, 51177, 50877, 51177, 50877, 51177, 50877, 51177, 51114, 51178, 51114, 51178, 51114, 51178, 51114, 51178, 51114, 51178, 50900, 51363, 50900, 51363, 50900, 51363, 50900, 51363, 50900, 51363, 52177, 50899, 51212, 50899, 51212, 50899, 51212, 50899, 51212, 50899, 51212, 50989, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 50999, 51177, 50999, 51177, 50999, 51177, 50999, 51177, 50999, 51177, 77549, 77549, 77549, 77549, 77549, 50431, 51214, 51043, 51214, 51043, 51214, 51043, 51214, 51043, 51214, 51043, 50951, 51295, 50951, 51295, 50951, 51295, 50951, 51295, 50951, 51295, 50973, 51397, 50973, 51397, 50973, 51397, 50973, 51397, 50973, 51397, 66240, 50810, 51120, 50810, 51120, 50810, 51120, 50810, 51120, 58638, 51086, 51542, 51086, 51542, 51086, 51542, 51086, 51542, 51086, 51542, 50460, 50973, 67741, 67741, 67741, 67741, 50978, 53069, 50876, 67891, 67891, 67891, 67891, 51079, 50425, 51214, 51797, 51214, 51797, 51214, 51797, 51214, 51797, 51214, 51797, 60718, 51283, 50902, 51283, 50902, 51283, 50902, 51283, 50902, 51283, 50433, 51120, 50829, 51120, 50829, 51120, 50829, 51120, 50829, 51120, 63442, 51026, 51962, 50299, 51962, 50299, 51962, 50299, 51962, 50299, 51962, 50303, 52169, 50303, 52169, 50303, 52169, 50303, 52169, 50303, 51006, 50446, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 50452, 51086, 51328, 51086, 51328, 51086, 51328, 51086, 51328, 51086, 51328, 50453, 51026, 71115, 71115, 71115, 71115, 57348, 58339, 58339, 58339, 58339, 50915, 52478, 51324, 51043, 51324, 51043, 51324, 51043, 51324, 51043, 51324, 51043, 50951, 51675, 50951, 51675, 50951, 51675, 50951, 51675, 50951, 51675, 50425, 51026, 50841, 51026, 50841, 51026, 50841, 51026, 50841, 51026, 52667, 51086, 79966, 79966, 79966, 79966, 59537, 60318, 60318, 60318, 60318, 75406, 51214, 51177, 51214, 51177, 51214, 51177, 51214, 51177, 51214, 51177, 50902, 51241, 50902, 51241, 50902, 51241, 50902, 51241, 50902, 51241 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 38668, 483, 6, 38668, 22052, 6, 8, 38668, 2236, 6, 7513, 30, 2382, 8, 30587, 3459, 29589, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 12730, 163, 5683, 6, 4246, 10, 211, 119, 7, 272, 406, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 60859, 51333, 51768, 51333, 59015, 51333, 51955, 51333, 52177, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 51022, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 52177, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 51022, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 52177, 50798, 58910, 50798, 50874, 51302, 54154, 52945, 54209, 64348, 52101, 52594, 55707, 53391, 51054, 53012, 52462, 52129, 56701, 66674, 52945, 54092, 59682, 50798, 55346, 52945, 51552, 50804, 52101, 69725, 53119, 51550, 52177, 50798, 58910, 50798, 53881, 53132, 69921, 50858, 51974, 64348, 52101, 52594, 55707, 52689, 51054, 53012, 52462, 52129, 56701, 66674, 53132, 57623, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 50799, 53985, 51460, 50417, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 51022, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 50799, 52233, 51080, 51821, 52062, 51716, 51145, 52547, 51313, 50417, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 55707, 52016, 52136, 52009, 51148, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 52016, 56515, 52582, 50972, 51701, 64735, 50798, 53119, 51550, 50799, 51678, 51449, 52072, 51445, 50417, 50798, 58910, 50798, 50874, 51302, 54154, 53391, 51599, 64348, 52101, 52594, 55707, 52689, 51237, 53012, 52462, 52129, 56701, 66674, 53391, 56421, 59682, 50798, 55346, 53391, 62066, 52101, 69725, 53119, 51550, 72671, 51748, 52582, 51313, 52072, 51313, 50417, 50798, 58910, 50798, 53881, 52945, 57623, 50858, 51974, 64348, 52101, 52594, 55707, 52689, 51054, 53012, 52462, 52129, 56701, 66674, 52945, 59359, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 50799, 53391, 50824, 52016, 63712, 51678, 55116, 52072, 55408, 50417, 50798, 58910, 50798, 50874, 51302, 54154, 51322, 51747, 64348, 52101, 52594, 55707, 51322, 50859, 58758, 50851, 53012, 52462, 58758, 51123, 62028, 60466, 51256, 51016, 52531, 51002, 51550, 58758, 50912, 62028, 58068, 58428, 51269, 58758, 51269, 51382, 50859, 58428, 50907, 58758, 62375, 50798, 50907, 58428, 51252, 58758, 67301, 51209, 51496, 50804, 52101, 55939, 50984, 58428, 62065, 50798, 53119, 51550, 55939, 51550, 58428, 51550, 50799, 55939, 51123, 58428, 51123, 51821, 51803, 50417, 50798, 51022, 53512, 51832, 55939, 51832, 50420, 53512, 51022, 55939, 58910, 50798, 50874, 53512, 52101, 55939, 52101, 51302, 50858, 54205, 51269, 53512, 51269, 50429, 51256, 50991, 54205, 52462, 53512, 52462, 51974, 64348, 52101, 54205, 51252, 53512, 51252, 52594, 51022, 54205, 79122, 51322, 50967, 58758, 50851, 53012, 52462, 58758, 51123, 62028, 51123, 52129, 56701, 51550, 58758, 50912, 62028, 58068, 58428, 51269, 58758, 60205, 51451, 52496, 50859, 58428, 50907, 58758, 62375, 50798, 50907, 58428, 51252, 58758, 51252, 56871, 52101, 55939, 50984, 58428, 62065, 50798, 53119, 51550, 55939, 51550, 58428, 51550, 68407, 51703, 51275, 51703, 51435, 51703, 51948, 51703, 52286, 51145, 51322, 51145, 55939, 51123, 58428, 51123, 52016, 52720, 51821, 52720, 52072, 52720, 50417, 50798, 51022, 53512, 51832, 55939, 51832, 50420, 53512, 51022, 55939, 58910, 50798, 50874, 53512, 52101, 55939, 52101, 51302, 50858, 54205, 51269, 53512, 51269, 50429, 54205, 52462, 53512, 52462, 50432, 52689, 56562, 64348, 52101, 54205, 51252, 53512, 51252, 52594, 51022, 54205, 52794, 50437, 52888, 51566, 53012, 52462, 52129, 56701, 51550, 50448, 53274, 50923, 51382, 59682, 50798, 74507, 53686, 51226, 56871, 52101, 69725, 53119, 51550, 51809, 50798, 51022, 50422, 50798, 74570, 53686, 51237, 57363, 70328, 50798, 64348, 52101, 53924, 51022, 50436, 53274, 51054, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 52888, 51090, 57048, 54721, 51275, 50896, 50452, 50798, 78877, 50804, 52101, 57796, 53119, 51550, 50460, 52689, 52195, 64680, 51314, 51144, 51314, 51119, 51314, 51821, 51449, 51701, 51449, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 52945, 55195, 64348, 52101, 53924, 51022, 50437, 52689, 61287, 51708, 51314, 51144, 51314, 51119, 51314, 60409, 52462, 50443, 52531, 51002, 51550, 50449, 52945, 55020, 50859, 50452, 50798, 78877, 52888, 57623, 52101, 57796, 53119, 51550, 61310, 51314, 51099, 51314, 51308, 51314, 51678, 51449, 52072, 51449, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 50798, 64348, 52101, 53924, 51022, 60409, 52462, 50443, 52531, 51002, 51550, 57048, 50859, 50452, 50798, 78877, 50804, 52101, 57796, 53119, 51550, 68407, 51449, 51275, 51449, 51435, 51449, 51948, 51449, 52286, 51447, 51322, 51447, 52016, 52720, 51821, 52720, 52072, 52720, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 50798, 64348, 52101, 50432, 52689, 51286, 53924, 55707, 52888, 51735, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 53274, 51286, 57048, 50859, 50452, 50798, 78877, 53686, 51573, 50804, 52101, 57796, 53119, 51550, 51809, 50798, 51022, 50422, 50798, 66118, 53686, 59359, 70328, 50798, 64348, 52101, 53924, 51022, 50437, 53274, 51054, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 52888, 51090, 57048, 54721, 51275, 50896, 50452, 50798, 78877, 50804, 52101, 57796, 53119, 51550, 50460, 52689, 51496, 64680, 51314, 51144, 51314, 51119, 51314, 80182, 51701, 51449, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 52945, 52090, 64348, 52101, 53924, 51022, 50437, 52689, 61287, 51708, 51314, 51144, 51314, 51119, 51314, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 52945, 51388, 57048, 50859, 50452, 50798, 78877, 50804, 52101, 50456, 52888, 51454, 57796, 53119, 51550, 61310, 51314, 51099, 51314, 51308, 51314, 51678, 53849, 52072, 51449, 50415, 52479, 56373, 50416, 50798, 51022, 50417, 52117, 52167, 50420, 52452, 54618, 50422, 50798, 56174, 52117, 52179, 57363, 54149, 52452, 52101, 50429, 52751, 51022, 50431, 50798, 64348, 52101, 50432, 52452, 51832, 53924, 60968, 52751, 58604, 52696, 51550, 60409, 52462, 50441, 52751, 50984, 50443, 52531, 51002, 65438, 52696, 72496, 52174, 50907, 57048, 54721, 52696, 51269, 50452, 50798, 62375, 52174, 79181, 50804, 52101, 50456, 53079, 51123, 57796, 53119, 51550, 50459, 54205, 62800, 53391, 51761, 50799, 57389, 50840, 52091, 51671, 51716, 51671, 50416, 50798, 51022, 50418, 57389, 56856, 50798, 74570, 57389, 56982, 50804, 65001, 57389, 62627, 52945, 65249, 64348, 52101, 50433, 57389, 50834, 53924, 60968, 57389, 52766, 53132, 51055, 60409, 52462, 50441, 57389, 62801, 52531, 51002, 51550, 50447, 57389, 60062, 53985, 52420, 50859, 50452, 50798, 62375, 57389, 58677, 53132, 51285, 50804, 52101, 57796, 53119, 51550, 50459, 57389, 50862, 72671, 51671, 51678, 51671, 50415, 52479, 56373, 50416, 57389, 53983, 51022, 50417, 52117, 52167, 50420, 52452, 54618, 50422, 57389, 54200, 56174, 52117, 52179, 50425, 57389, 55106, 54149, 52452, 52101, 50429, 52751, 51022, 50430, 57389, 56657, 50798, 64348, 52101, 50432, 52452, 51832, 50433, 57389, 50829, 53924, 60968, 52751, 51123, 50436, 57389, 54077, 52696, 51550, 50439, 57389, 50867, 60409, 52462, 50441, 52751, 50984, 50443, 52531, 51002, 65438, 52696, 51252, 50445, 57389, 56112, 52174 ]
[ 0, 250, 32625, 15855, 2125, 6, 533, 14756, 13, 10, 19834, 6, 4246, 41, 21979, 8669, 816, 10, 15352, 30054, 8, 11653, 4782, 11, 83, 538, 6, 19, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 20183, 624, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 51444, 50867, 67036, 50416, 51131, 59240, 52028, 68162, 51131, 54475, 51444, 60999, 51131, 55946, 52028, 60567, 51131, 53901, 51444, 50836, 51078, 67161, 51131, 57860, 52028, 62627, 51131, 52810, 51444, 61075, 51131, 56000, 52028, 59701, 51131, 52781, 51444, 80020, 63453, 51131, 59138, 52028, 62801, 51131, 54247, 51444, 61334, 51131, 54417, 52028, 59433, 51131, 54086, 51444, 50840, 51067, 64703, 51131, 58345, 52028, 62802, 51131, 53211, 51444, 61996, 51131, 57326, 52028, 60870, 51131, 50813, 60533, 50886, 50416, 51067, 58160, 51316, 68162, 51076, 55105, 50947, 59993, 50929, 55754, 51078, 62475, 50998, 52524, 65606, 50428, 51317, 57050, 51311, 61699, 51131, 53705, 51207, 59880, 52028, 56524, 51574, 60633, 51444, 54077, 52012, 50862, 51131, 67635, 51574, 58545, 53805, 60964, 51574, 53524, 52012, 60812, 51574, 56112, 53805, 61444, 51574, 52800, 52012, 50862, 51317, 73745, 51574, 58345, 53805, 62802, 51574, 53211, 52012, 61688, 51574, 54655, 53805, 59854, 51574, 50813, 65309, 50862, 50998, 73051, 51574, 58671, 53805, 68162, 51574, 53299, 52012, 59993, 51574, 53910, 53805, 62475, 51574, 52524, 52012, 80020, 63601, 51574, 58594, 53805, 62627, 51574, 53705, 52012, 59880, 51574, 56000, 53805, 59701, 51574, 52781, 52012, 68273, 50947, 54790, 50929, 63610, 51078, 54305, 50998, 60812, 50960, 56518, 51317, 60062, 51311, 54086, 51131, 64732, 51207, 58759, 52028, 62802, 51574, 54199, 51444, 61996, 53805, 57400, 53092, 60870, 52012, 50867, 60533, 50846, 51786, 57056, 51067, 64301, 50947, 56127, 51444, 53004, 51444, 50828, 51786, 57987, 51067, 57240, 50947, 53109, 51444, 50846, 51563, 60955, 51292, 58405, 50947, 52670, 51444, 50846, 51788, 57286, 51786, 64015, 50947, 55028, 51444, 52739, 51067, 58406, 51316, 56565, 51076, 54248, 50947, 62196, 50929, 57405, 51078, 52766, 52012, 50810, 71263, 50929, 56532, 52012, 50844, 51317, 50844, 50998, 53783, 51316, 57757, 51076, 56892, 50947, 54847, 50929, 60044, 51078, 58078, 50998, 52802, 51444, 50818, 51786, 56086, 51067, 64314, 50947, 55097, 51444, 54900, 51444, 50846, 51786, 59169, 51067, 57059, 50947, 54603, 51444, 68056, 57319, 51292, 56603, 50947, 50835, 60533, 50846, 51788, 57056, 51786, 64301, 50947, 56231, 51444, 53004, 51067, 60683, 51316, 56818, 51076, 54104, 50947, 58830, 50929, 56982, 51078, 52928, 52012, 50810, 71263, 50929, 55730, 52012, 50844, 51317, 50844, 50998, 53513, 51316, 57398, 51076, 56516, 50947, 54248, 50929, 62196, 51078, 57405, 50998, 53040, 52028, 68273, 51067, 56442, 51444, 64831, 51067, 52510, 51574, 60812, 51067, 53401, 52028, 64891, 51067, 52555, 51207, 64732, 51067, 58045, 51131, 63340, 51067, 52485, 51311, 61688, 51067, 56249, 51317, 60870, 51067, 50836, 50799, 60917, 50416, 51067, 58093, 51311, 68162, 51067, 52628, 51131, 59993, 51067, 53467, 51846, 62475, 51067, 53548, 52012, 71699, 51316, 54056, 51076, 61699, 50947, 54860, 52012, 59992, 50947, 55310, 51076, 59921, 51316, 53894, 51067, 67635, 51292, 58037, 51786, 63610, 52866, 53524, 51788, 58171, 52866, 56317, 53568, 61495, 51788, 54185, 52012, 51330, 50947, 51330, 61791, 51444, 50886, 60917, 50416, 51131, 58671, 52028, 65942, 51131, 53299, 51444, 60342, 51131, 55946, 52028, 62475, 51131, 53901, 51444, 50840, 51078, 63692, 51131, 57050, 52028, 62627, 51131, 52810, 51444, 59992, 51131, 54350, 52028, 58572, 51131, 52781, 51444, 80020, 63453, 51131, 59356, 52028, 64101, 51131, 53524, 51444, 61334, 51131, 56112, 52028, 59433, 51131, 52800, 51444, 50809, 51067, 63602, 51131, 58759, 52028, 62802, 51131, 54319, 51444, 61996, 51131, 54655, 52028, 59854, 51131, 50862, 60533, 76328, 51067, 58093, 51316, 63315, 51076, 55105, 50947, 60999, 50929, 55754, 51078, 62475, 50998, 53383, 65606, 50428, 51317, 57050, 51311, 61699, 51131, 53705, 51207, 59992, 52028, 56030, 51574, 60633, 51444, 54077, 52012, 50862, 51131, 67635, 51574, 58545, 53805, 60964, 51574, 53524, 52012, 61334, 51574, 54417, 53805, 59433, 51574, 53938, 52012, 50836, 51317, 69008, 51574, 58759, 53805, 62802, 51574, 53211, 52012, 62309, 51574, 57023, 53805, 59854, 51574, 50813, 65309, 50855, 66807, 50416, 51574, 58671, 53805, 68162, 51574, 53299, 52012, 60999, 51574, 55946, 53805, 60811, 51574, 52524, 52012, 80020, 63601, 51574, 58594, 53805, 62627, 51574, 52810, 52012, 61075, 51574, 54350, 53805, 59701, 51574, 52781, 52012, 68273, 50947, 54790, 59313, 50443, 51078, 54305, 50998, 60812, 50960, 56518, 51317, 60062, 51311, 52800, 51131, 66056, 51207, 55726, 52028, 62802, 51574, 54199, 51444, 62309, 53805, 57400, 53092, 59854, 52012, 50813, 60533, 50818, 51786, 54925, 51067, 64301, 50947, 56572, 51444, 54448, 51444, 50846, 51786, 60683, 51067, 58659, 50947, 53109, 51444, 50846, 51563, 60955, 51292, 58405, 50947, 52641, 51444, 50846, 51788, 57286, 51786, 64561, 50947, 55028, 51444, 52739, 51067, 58406, 51316, 56512, 51076, 54288, 50947, 59370, 50929, 57405, 51078, 53040, 52012, 50810, 71263, 50929, 56532, 52012, 50844, 51317, 50844, 50998, 53783, 51316, 58953, 51076, 57728, 50947, 54847, 50929, 60044, 51078, 58078, 50998, 53057, 51444, 50846, 51786, 57150, 51067, 64314, 50947, 54781, 51444, 53176, 51444, 50846, 51786, 59169, 51067, 57059, 50947, 54026, 51444, 50828, 51563, 60112, 51292, 56172, 50947, 50837, 60533, 50846, 51788, 57056, 51786, 67722, 50947, 56231, 51444, 54448, 51067, 60683, 51316, 57240, 51076, 54104, 50947, 61494, 50929, 56982, 51078, 52928, 52012, 50810, 71263, 50929, 55730, 52012, 50810, 51317, 50810, 50998, 52658, 51316, 57398, 51076, 56565, 50947, 54606, 50929, 58316, 51078, 57352, 50998, 53040, 52028, 66116, 51067, 54790, 51444, 64101, 51067, 54400, 51574, 61794, 51067, 55761, 52028, 61444, 51067, 53886, 51207, 76690, 51067, 54139, 51131, 63340, 51067, 52485, 51311, 62309, 51067, 56249, 51317, 59854, 73369, 50799, 60917, 50416, 51067, 58093, 51311, 68162, 51067, 52628, 51131, 59993, 51067, 53467, 51846, 64783, 51067, 53548, 52012, 66765, 51316, 58511, 51076, 61699, 50947, 53705, 52012, 61075, 50947, 53307, 51076, 59948, 51316, 54431, 51067, 62384, 51292, 58037, 51786, 65891, 52866, 54247, 51788, 58171, 52866, 56518, 53568, 61495, 51788, 54185, 52012, 51330, 50947, 51330, 65309, 50841, 51292, 56260, 51316, 67553, 50947, 56127, 52012, 53004, 52012, 50828, 51292, 57987, 51316, 56856, 50947, 53868, 52012, 50828, 51786, 59095, 51067, 58405, 50947, 52712, 52012, 68056, 56171, 51292, 59551, 50947, 55028, 52012, 52739, 52012, 50846, 51563, 58406, 51292, 56512, 50947, 53439, 52012, 50846, 51563, 61385, 51292, 57352, 50947, 52896, 52012, 50828, 51788, 56068, 51786, 64562, 50947, 55788, 52012, 50846, 51563, 60547, 51292, 58616, 50947, 53114, 52012, 50828, 51786, 57757, 51067, 56892, 50947, 54492, 52012, 50828, 51292, 59698, 51316, 56918, 50947, 53057, 51444, 50828, 51786, 56012, 51067, 64314, 50947, 55423, 51444, 53176, 51444, 50846, 51786, 59169, 51067, 57059, 50947, 54603, 51444, 50846, 51563, 61698, 51292, 56842, 50947, 50837, 60533, 50828, 51788, 55614, 51786, 64301, 50947, 58593, 51444, 54711, 51444, 50818, 51788, 58158, 51786, 56856, 50947, 53991, 51444, 50828, 51788, 59095, 51786, 58405, 50947, 52917, 51444, 50846, 53568, 57286, 51563, 64015, 50947, 56609, 51444, 50818, 51788, 57318, 51786, 59651, 50947, 52767, 51444, 50828, 51563, 57398, 51292, 56516 ]
[ 0, 250, 15352, 30054, 5175, 15229, 11, 83, 538, 6, 4246, 10, 38668, 483, 6, 38668, 11212, 6, 8, 17605, 9590, 4, 20, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 8, 15073, 4, 20, 16331, 33215, 16739, 9, 83, 6, 163, 6, 8, 230, 10431, 119, 406, 3639, 7, 63, 13363, 28191, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 58957, 50800, 67314, 51036, 76863, 54994, 69577, 51631, 55462, 51628, 69577, 53505, 55087, 51724, 64995, 66584, 55462, 51820, 69577, 51798, 55087, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 50800, 62251, 51036, 57756, 52045, 50420, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 56100, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64012, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51492, 57756, 52045, 50420, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 51835, 69577, 51631, 55462, 51628, 69577, 53505, 56091, 51724, 55314, 66584, 62325, 51820, 69577, 51798, 61042, 51754, 69577, 56750, 50329, 53626, 50329, 50800, 50799, 58957, 50800, 62251, 51036, 59255, 56100, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 51036, 57756, 54994, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64995, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51036, 57756, 56100, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51036, 76863, 54994, 69577, 51631, 55462, 51628, 69577, 53505, 55087, 51724, 64995, 66584, 55462, 51820, 69577, 51798, 55087, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 50800, 62251, 51036, 57756, 52045, 50420, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 56100, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64012, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51492, 57756, 52045, 50420, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 51835, 69577, 51631, 55462, 51628, 69577, 53505, 56091, 51724, 55314, 66584, 62325, 51820, 69577, 51798, 61042, 51754, 69577, 56750, 50329, 53626, 50329, 50800, 50799, 58957, 50800, 62251, 51036, 59255, 56100, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 51036, 57756, 54994, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64995, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51036, 57756, 56100, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 67314, 51036, 76863, 54994, 69577, 51736, 69577, 51646, 64995, 56027, 69577, 51923, 69577, 50795, 50799, 62251, 51036, 57756, 52045, 50420, 54931, 51736, 54931, 51918, 54931, 51923, 54931, 50795, 50799, 64638, 56100, 60915, 51736, 60915, 51646, 64012, 56027, 60915, 51923, 60915, 50795, 50799, 67314, 51492, 57756, 52045, 50420, 69577, 51736, 69577, 51918, 69577, 51923, 69577, 50795, 61627, 55314, 50918, 50799, 62251, 51036, 59255, 51036, 50799, 64638, 51036, 57756, 56039, 64995, 50918, 50799, 67314, 51036, 57756, 51036, 50799, 67314, 51036, 76863, 56039, 64995, 50918, 50799, 62251, 51036, 57756, 52045, 50799, 64638, 76175, 64012, 50918, 50799, 67314, 51492, 57756, 52045, 61627, 55314, 50918, 50799, 55750, 51550, 62251, 51036, 59255, 56100, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 51550, 50459, 53929, 50800, 50799, 56201, 51550, 64638, 51036, 57756, 54994, 55462, 52296, 56201, 65437, 55087, 51628, 56201, 51550, 50435, 53929, 51724, 56201, 51550, 64995, 56027, 55462, 52513, 56201, 66674, 55087, 51754, 56201, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 57756, 56100, 55462, 52296, 59090, 65437, 55087, 51628, 59090, 51550, 50435, 53929, 51724, 59090, 65438, 55462, 52513, 59090, 66674, 55087, 51754, 59090, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 76863, 54994, 55462, 52296, 59090, 65437, 58233, 51628, 59090, 51550, 50435, 58957, 51724, 59090, 51550, 64995, 56027, 55462, 52513, 59090, 66674, 58233, 51754, 59090, 51550, 50459, 58957, 50800, 50799, 55750, 51550, 62251, 51036, 57756, 52045, 50420, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 79530, 53929, 50800, 50799, 56201, 51252, 64638, 56100, 55462, 52296, 56201, 58782, 55087, 51628, 56201, 69470, 53929, 51724, 56201, 51252, 64012, 56027, 55462, 52513, 56201, 61013, 55087, 51754, 56201, 79530, 53929, 50800, 50799, 59090, 51252, 67314, 51492, 57756, 52045, 50420, 55462, 52296, 59090, 58782, 58233, 51628, 59090, 69470, 58957, 51724, 59090, 62095, 55462, 52513, 59090, 61013, 58233, 51754, 59090, 79530, 58957, 50800, 50799, 59090, 63478, 58957, 52296, 59090, 58782, 61042, 51628, 59090, 69470, 62325, 51724, 59090, 51252, 55314, 56027, 58957, 52513, 59090, 61013, 61042, 51754, 59090, 79530, 62325, 50800, 50799, 55750, 51550, 62251, 51036, 59255, 56100, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 51550, 50459, 53929, 50800, 50799, 56201, 51550, 64638, 51036, 57756, 54994, 55462, 52296, 56201, 65437, 55087, 51628, 56201, 51550, 50435, 53929, 51724, 56201, 51550, 64995, 56027, 55462, 52513, 56201, 66674, 55087, 51754, 56201, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 57756, 56100, 55462, 52296, 59090, 65437, 55087, 51628, 59090, 51550, 50435, 53929, 51724, 59090, 65438, 55462, 52513, 59090, 66674, 55087, 51754, 59090, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 76863, 54994, 55462, 52296, 59090, 65437, 58233, 51628, 59090, 51550, 50435, 58957, 51724, 59090, 51550, 64995, 56027, 55462, 52513, 59090, 66674, 58233, 51754, 59090, 51550, 50459, 58957, 50800, 50799, 55750, 51550, 62251, 51036, 57756, 52045, 50420, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 79530, 53929, 50800, 50799, 56201, 51252, 64638, 56100, 55462, 52296, 56201, 58782, 55087, 51628, 56201, 69470, 53929, 51724, 56201, 51252, 64012, 56027, 55462, 52513, 56201, 61013, 55087, 51754, 56201, 79530, 53929, 50800, 50799, 59090, 51252, 67314, 51492, 57756, 52045, 50420, 55462, 52296, 59090, 58782, 58233, 51628, 59090, 69470, 58957, 51724, 59090, 62095, 55462, 52513, 59090, 61013, 58233, 51754, 59090, 79530, 58957, 50800, 50799, 59090, 63478, 58957, 52296, 59090, 58782, 61042, 51628, 59090, 69470, 62325, 51724, 59090, 51252, 55314, 56027, 58957, 52513, 59090, 61013, 61042, 51754, 59090, 79530, 62325, 50800, 50799, 55750, 51550, 62251, 51036, 59255, 56100, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462 ]
[ 0, 250, 19448, 8, 5679, 26709, 25771, 5175, 2214, 14, 7630, 6568, 10, 1472, 9, 11926, 8, 115, 28, 341, 11, 10, 822, 4, 85, 1575, 10, 13305, 8, 3459, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 18558, 6, 8, 21979, 9590, 4, 20, 2125, 16, 11, 230, 538, 6, 34, 10, 7212, 20889, 9, 1814, 741, 1685, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50871, 51307, 51890, 51894, 51783, 51353, 58060, 51714, 51959, 68988, 50931, 51422, 52569, 51452, 50432, 51062, 50873, 53826, 53415, 51062, 51204, 53826, 71492, 51081, 50807, 54057, 60866, 50999, 51056, 52930, 55345, 50951, 51077, 52627, 51446, 50461, 52679, 51151, 51601, 50900, 51359, 52114, 51518, 55902, 52222, 51771, 52015, 76946, 51422, 51959, 51452, 50432, 65515, 52627, 53415, 50951, 51157, 52627, 52815, 50999, 51775, 52930, 50974, 50449, 51081, 51056, 54057, 62174, 50999, 51295, 52930, 51351, 50461, 52123, 51353, 54206, 51151, 52003, 51422, 57340, 53142, 51816, 52783, 50425, 50902, 51422, 52092, 72816, 50931, 50943, 52569, 58141, 50951, 51003, 52627, 51003, 50455, 50999, 50943, 52930, 50943, 50460, 54099, 51422, 50461, 50997, 51692, 52951, 51692, 52591, 50951, 50943, 52627, 50943, 50425, 50871, 51127, 51890, 51127, 77431, 50943, 52569, 50943, 50443, 50968, 51177, 52577, 51177, 50448, 52679, 50995, 50449, 76592, 52092, 51121, 51150, 51159, 55895, 50866, 52114, 50866, 50455, 50876, 51562, 51959, 51562, 50460, 51140, 51894, 51783, 51151, 50461, 51050, 51945, 53362, 51945, 51567, 51151, 51093, 51449, 50799, 62777, 54146, 50419, 50900, 51592, 52114, 75856, 62777, 56373, 50425, 50871, 51742, 51890, 51742, 50426, 62777, 52101, 59409, 50808, 51959, 50808, 62777, 52794, 62204, 51111, 51959, 51111, 62777, 52101, 50444, 50906, 50901, 52158, 50901, 62777, 52794, 60027, 50805, 51816, 50805, 62777, 52101, 50455, 51216, 54752, 50861, 51446, 51771, 51446, 62777, 52794, 50461, 51150, 51894, 52679, 51313, 51088, 51353, 53997, 51486, 53897, 51486, 62777, 54146, 51555, 51445, 56978, 51803, 53168, 51803, 62777, 56373, 53523, 52015, 52114, 52015, 62777, 52101, 50431, 61084, 51771, 58191, 62777, 52794, 50437, 74225, 51771, 74387, 62777, 52101, 50443, 50877, 51203, 51816, 72438, 62777, 52794, 50449, 50906, 51110, 52158, 65114, 62777, 52101, 50454, 51216, 68464, 79379, 51816, 51218, 62777, 52794, 50460, 52123, 51313, 51584, 51445, 51113, 51359, 50461, 51120, 51353, 53795, 52069, 51389, 51486, 50799, 62777, 54146, 50419, 51027, 53142, 53359, 52783, 50420, 62777, 56373, 78091, 51692, 52003, 78042, 62777, 52101, 50431, 50871, 51413, 51890, 51191, 50432, 62777, 79122, 62777, 52101, 58365, 50981, 51771, 51212, 62777, 52794, 50449, 51150, 55247, 65893, 51816, 51101, 62777, 52101, 50456, 50906, 51003, 52158, 51003, 62777, 52794, 50460, 51783, 51677, 54099, 51939, 51154, 51313, 50461, 51261, 51422, 54662, 51675, 55333, 51675, 62777, 54146, 57340, 50943, 51816, 50943, 62777, 56373, 60643, 51127, 53362, 51127, 62777, 52101, 58319, 50889, 51771, 50889, 62777, 79122, 62777, 52101, 50443, 76518, 51890, 65562, 62777, 52794, 50449, 77479, 51555, 52188, 52679, 75756, 51085, 66446, 51100, 53897, 50862, 52126, 51100, 62777, 52101, 50456, 50871, 51177, 51890, 51177, 62777, 52794, 50460, 52123, 52337, 51584, 52337, 50461, 51120, 51945, 53795, 51945, 51154, 52149, 56950, 51307, 62777, 54146, 56945, 51145, 53359, 51145, 62777, 56373, 53337, 51452, 52003, 51452, 62777, 52101, 63174, 52069, 50916, 51003, 51816, 52069, 52126, 51003, 62777, 79122, 62777, 52101, 50443, 50871, 51675, 51890, 51675, 50444, 62777, 52794, 50450, 62777, 52101, 50456, 51027, 51212, 53359, 51212, 62777, 52794, 50461, 51120, 51307, 53795, 51307, 51273, 51307, 50799, 62777, 54146, 56945, 52335, 53359, 52335, 62777, 56373, 78091, 51677, 52003, 73660, 62777, 52101, 63174, 51803, 50916, 51452, 51816, 51803, 52126, 51452, 62777, 79122, 62777, 52101, 57428, 51191, 51890, 51191, 62777, 52794, 50450, 62777, 52101, 50456, 62777, 52794, 50460, 51783, 51714, 50461, 51567, 52335, 54734, 52071, 51050, 52335, 55516, 52071, 53362, 52335, 51140, 51945, 62777, 54146, 50419, 50900, 54171, 52114, 54171, 50420, 62777, 56373, 50425, 50871, 51422, 51890, 68988, 62777, 52101, 58319, 51452, 50876, 51803, 51771, 51452, 51959, 51803, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50455, 51279, 51100, 56887, 61327, 51216, 50917, 62777, 52794, 50459, 52679, 52151, 50461, 51261, 51991, 54662, 51991, 55333, 51991, 62777, 54146, 50415, 51555, 59125, 53502, 52151, 52114, 52151, 62777, 56373, 53645, 51714, 51890, 51714, 62777, 52101, 58319, 51790, 50876, 51677, 51771, 51790, 51959, 51677, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50456, 51279, 50873, 56887, 50873, 51216, 50805, 62777, 52794, 50461, 51098, 51894, 55699, 52151, 54795, 51714, 56734, 51714, 62777, 54146, 52123, 61017, 54569, 51714, 52003, 51714, 62777, 56373, 50425, 50871, 51452, 51890, 72270, 62777, 52101, 50431, 65218, 50876, 51145, 51771, 51047, 51959, 51145, 50432, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50456, 51234, 50901, 55333, 50901, 51261, 50917, 62777, 52794, 50460, 52679, 51313, 51555, 51748, 50461, 51150, 51161, 53997, 51359, 53897, 51359, 62777, 54146, 50419, 50900, 51101, 52114, 77769, 62777, 56373, 78091, 51178, 50861, 51749, 52003, 51178, 51771, 51749, 50426, 62777, 52101, 50431, 50916, 51675, 52126, 51675, 50432, 62777, 79122, 62777, 52101, 57428, 51100, 51890, 51100, 62777, 52794, 56222, 51134, 51771, 51134, 75919, 62777, 52101, 50456, 62777, 52794, 50460, 51783, 52071, 51567, 52335, 54734, 52069, 51050, 51945, 55516, 52069, 53362, 51945, 51793, 51991, 62777, 54146, 50419, 50900, 50359, 50408, 52114, 50359, 50408, 50420, 62777, 56373, 50425, 50871, 51677, 51890, 73660, 62777, 52101, 58319, 51790, 50876, 51452, 51771, 51790, 51959, 51452, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50455, 51279, 51177, 56887, 67773, 51216, 50938, 62777, 52794, 50460, 54099, 51318, 50461, 51234, 51894, 55333, 51894, 51261, 51605, 50799, 62777, 54146, 51783, 55275, 50419, 80141, 52114, 62912, 62777, 56373, 50425, 50871, 51692, 51890, 51692, 50426, 62777, 52101, 50431, 50861, 51452, 50876, 51742, 51771, 51452, 51959, 51742, 50432, 62777, 52794, 54099, 51448, 50438, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50455, 51279, 50845, 56887, 50845, 51216, 52961, 62777, 52794, 50459, 55699, 52335, 52123, 52335, 50461, 51214, 51945, 56734, 51945, 51098, 51991, 50799, 62777, 54146, 50419, 50899, 54171, 52003, 54171, 50420, 62777, 56373, 50425, 50871, 51662, 51890, 51662, 50426, 62777, 52101, 50431, 50861, 51790, 51771, 51790, 59409, 51790, 51959, 51790, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50454, 51050, 50905, 53362, 50905, 50455, 51793, 59132, 62777, 52794, 50460, 51315, 51353, 56805, 51353, 50461, 51984, 51036, 50799, 62777, 54146, 50417, 52679, 52151, 51555, 52222, 50419, 50900, 50905, 52114, 55126, 62777, 56373, 50424, 68930, 50899, 51101, 51771, 51535, 52003, 67175, 62777, 52101, 50431, 50916, 51413, 52126, 51413, 50432, 62777, 79122, 62777, 52101, 57428, 51177, 51890, 51177, 62777, 52794, 56222, 51351, 51771, 51351, 62777, 52101, 50456, 62777, 52794, 50459, 51584, 51445, 52123, 51445, 50461, 51389, 51036, 54868, 51359, 53795, 51359, 62777, 54146, 50420, 62777, 56373, 50421, 51027, 51945, 53359, 51945, 53337, 51183, 52003, 51183, 62777, 52101, 64185, 60598, 51675, 52126, 51003, 51816, 51675, 62777, 79122, 62777, 52101, 57428, 51141, 51890, 51141, 62777, 52794, 50450, 62777, 52101, 50456, 62777, 52794, 50461, 51214, 51790 ]
[ 0, 250, 1769, 12, 20764, 5175, 1349, 11, 381, 538, 6, 5378, 16364, 19, 15352, 30054, 1007, 8, 2933, 223, 34693, 4, 20, 204, 73, 306, 86, 6543, 8462, 2507, 5, 2214, 556, 6, 150, 5, 33215, 16739, 9, 12608, 119, 6, 381, 6, 230, 10431, 6, 12608, 6, 8, 381, 3639, 41, 14816, 46336, 4811, 4, 2285, 63, 765, 13428, 6, 42, 2125, 15358, 10, 25306, 10064, 6, 7630, 14805, 10, 1472, 9, 30837, 6942, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 51040, 54639, 50968, 52432, 51399, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50877, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 53905, 50877, 52210, 51001, 58175, 51027, 53545, 50877, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 57002, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 54656, 50877, 52210, 50999, 62911, 51027, 53545, 50877, 52349, 51147, 50925, 56310, 54639, 50877, 52432, 50968, 50955, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51028, 58238, 51027, 53545, 50877, 52349, 50968, 50955, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209, 50968, 59577, 51040, 53905, 51028, 52210, 51001, 58460, 51040, 53545, 51028, 52349, 50968, 56569, 65200, 57346, 54639, 51028, 52432, 51028, 58382, 51040, 54013, 51028, 52209, 51028, 59983, 51040, 53905, 51028, 52210, 51001, 58175, 51040, 53545, 51028, 52349, 50968, 51210, 57346, 54639, 51028, 52432, 50999, 58382, 51040, 54013, 51028, 52209, 50999, 58450, 51040, 53905, 51028, 52210, 51147, 58332, 51040, 53545, 51028, 52349, 50968, 54421, 63417, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209, 50968, 59577, 51040, 53905, 51028, 52210, 51001, 58460, 51040, 53545, 51028, 52349, 50968, 56569, 65200, 57346, 54639, 51028, 52432, 51028, 58382, 51040, 54013, 51028, 52209, 51028, 59983, 51040, 53905, 51028, 52210, 51001, 58175, 51040, 53545, 51028, 52349, 50968, 51210, 50796, 57346, 54639, 50968, 52432, 51399, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51378, 54013, 50989, 52209, 51028, 59983, 51176, 53905, 50965, 52210, 51001, 58175, 51176, 53545, 50965, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 57002, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51027, 53545, 50968, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 54656, 50877, 52210, 50999, 62911, 51027, 53545, 50877, 52349, 51147, 50925, 56310, 54639, 50877, 52432, 50968, 50955, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51028, 58238, 51027, 53545, 50877, 52349, 50968, 50955, 57346, 54639, 50968, 52432, 51399, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50877, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 53905, 50877, 52210, 51001, 58175, 51027, 53545, 50877, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 57002, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51378, 54013, 50989, 52209, 51028, 59983, 51176, 54656, 50965, 52210, 50999, 62911, 51176, 53545, 50965, 52349, 51147, 50925, 50796, 57346, 54639, 50968, 52432, 51430, 57499, 51040, 54013, 50968, 52209, 51405, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 50973, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50877, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 53905, 50877, 52210, 51001, 58175, 51027, 53545, 50877, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 68940, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51378, 54013, 50989, 52209, 51028, 59983, 51176, 54656, 50965, 52210, 50999, 62911, 51176, 53545, 50965, 52349, 51147, 50925, 56310, 54639, 50877, 52432, 50968, 50955, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51028, 58238, 51027, 53545, 50877, 51754, 68319, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209, 50968, 59577, 51040, 53905, 51028, 52210, 51001, 58460, 51040, 53545, 51028, 52349, 50968, 56569, 65200, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 3366, 219, 8, 980, 219, 5466, 6, 4246, 21072, 6, 20535, 2810, 6, 326, 5638, 18026, 6, 13305, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 83, 3694, 6, 19, 10, 7212, 20889, 9, 7953, 13410, 228, 2289, 8, 10, 132, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 1918, 8, 272, 6, 61, 7230, 1328, 5, 2214, 6, 2351, 10, 19448, 8, 1372, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 66702, 51057, 51648, 50880, 52058, 53291, 50379, 52638, 59722, 51648, 50880, 52058, 53291, 53932, 50832, 55884, 51648, 50884, 52058, 52240, 63787, 52450, 50832, 50379, 52638, 53300, 51648, 50846, 52058, 52100, 54259, 52002, 50887, 52148, 53716, 55632, 51776, 51364, 51866, 51364, 50832, 63787, 50808, 51057, 50832, 50379, 52638, 50950, 51921, 53932, 50832, 50858, 52111, 63787, 52710, 50832, 50873, 51383, 65342, 51713, 50859, 51702, 54054, 54259, 51888, 50840, 52384, 56330, 55632, 51683, 50887, 51947, 53716, 63787, 50808, 51057, 51648, 50884, 52058, 52240, 50379, 52638, 54024, 51648, 51031, 52058, 53551, 53932, 50832, 55884, 51683, 50949, 51947, 52683, 63787, 53049, 50832, 50379, 52638, 53300, 51963, 50859, 53266, 54054, 53627, 51913, 51472, 53093, 51472, 50832, 50858, 52224, 63787, 50808, 51057, 50832, 50379, 52638, 50803, 51921, 53932, 50832, 50858, 52111, 63787, 53049, 50832, 50873, 51383, 50894, 51999, 54259, 50832, 50858, 52224, 63787, 50812, 51057, 51648, 50880, 52058, 53291, 50873, 51383, 54024, 51648, 50880, 52058, 53291, 55689, 50832, 55884, 51648, 50962, 52058, 55607, 63787, 53049, 50832, 50379, 52638, 58236, 51648, 50836, 52058, 55048, 53627, 52002, 50808, 52148, 53791, 55632, 51776, 51364, 51866, 51364, 50832, 63787, 50833, 51057, 50832, 50379, 52638, 50803, 51921, 53932, 50832, 50858, 52111, 63787, 53049, 50832, 50379, 52638, 53300, 51713, 50859, 51702, 54054, 53627, 51888, 50810, 52384, 53657, 55632, 51683, 50808, 51947, 53791, 63787, 50812, 51057, 51648, 50880, 52058, 53291, 50379, 52638, 50803, 51921, 53932, 50832, 55884, 51713, 50812, 51702, 53187, 63787, 52710, 51888, 50887, 52384, 53716, 50379, 52638, 53300, 51683, 50840, 51947, 56330, 53627, 51648, 51685, 52058, 77789, 50858, 52224, 63787, 50833, 51057, 50832, 50379, 52638, 50803, 51921, 53932, 50832, 50858, 52111, 63787, 52710, 51069, 50949, 52253, 50923, 51289, 51880, 50379, 52638, 53300, 51069, 50387, 53221, 57575, 53627, 51069, 50962, 52107, 66992, 51880, 55632, 51069, 63310, 51880, 59719, 50812, 51057, 51614, 50845, 51515, 50845, 51440, 51121, 65895, 51649, 50825, 54039, 50863, 51007, 50886, 51257, 65965, 50867, 52107, 51014, 52451, 51490, 52592, 52212, 51289, 51880, 53376, 50586, 76922, 57287, 50378, 52638, 63973, 60685, 51649, 52144, 53932, 51007, 50834, 51257, 50820, 51649, 50870, 51649, 50825, 54039, 57282, 53657, 61320, 68606, 54347, 51649, 50863, 51649, 50820, 54039, 50841, 52107, 55146, 51880, 68607, 57402, 57529, 52450, 51069, 51388, 51649, 50863, 54039, 50982, 53043, 50384, 53221, 54132, 74411, 67713, 56010, 56274, 54039, 50908, 51007, 50813, 51257, 50867, 51649, 50941, 51649, 50886, 53043, 54078, 53657, 50873, 51587, 68606, 52658, 50927, 51834, 50325, 50863, 51649, 50820, 54039, 50820, 53043, 55607, 55632, 50909, 50829, 51149, 50841, 54039, 50908, 51439, 50887, 51649, 50941, 53043, 54078, 54592, 50572, 53288, 66679, 79042, 56854, 55771, 73927, 50907, 51057, 51774, 51328, 51660, 51101, 51434, 51101, 72542, 51439, 50891, 52138, 50941, 52730, 50962, 52892, 52147, 53281, 51703, 50798, 56062, 54090, 60668, 68671, 50378, 52638, 70120, 64493, 56115, 50909, 50835, 51149, 50820, 51439, 50971, 51439, 50862, 52138, 50941, 52730, 52546, 53932, 51439, 50891, 51439, 50835, 52138, 50863, 52138, 50820, 52730, 53850, 58071, 61320, 62004, 56237, 50909, 50829, 51149, 50820, 51439, 50841, 52138, 50870, 52730, 53235, 56062, 54995, 66679, 68671, 64136, 55771, 61639, 53881, 51069, 50962, 51439, 50870, 52138, 50825, 52575, 50386, 53221, 54132, 50873, 51270, 50378, 52638, 70120, 57544, 51069, 50894, 51439, 50908, 51439, 50820, 52138, 50863, 52138, 50841, 52575, 53696, 54259, 50909, 50820, 51149, 50820, 51439, 50928, 52138, 50870, 51439, 50855, 52544, 52311, 50804, 53255, 61320, 68606, 54378, 51069, 50894, 51439, 50908, 52138, 71340, 51880, 68607, 66625, 64400, 50808, 51057, 51614, 51203, 51515, 51203, 51440, 51412, 68318, 51007, 50886, 51257, 50857, 51649, 50864, 51649, 50867, 54039, 50864, 52451, 51703, 52592, 51703, 52531, 51002, 58071, 60668, 79042, 50378, 52638, 56010, 59365, 62311, 51649, 59606, 52520, 60668, 55140, 53420, 51007, 50820, 51257, 50839, 51649, 50825, 51649, 50820, 54039, 50863, 54039, 50841, 51649, 53225, 55884, 51649, 50863, 54039, 58597, 56701, 55171, 66679, 62983, 56854, 55771, 64493, 53220, 50945, 51388, 51649, 50863, 54039, 63272, 72663, 57575, 60668, 68671, 50378, 52638, 56010, 68606, 58519, 51649, 50825, 51649, 50820, 54039, 50863, 54039, 77729, 50813, 51257, 50855, 51649, 73452, 54054, 53627, 50927, 51834, 50325, 50863, 54039, 54835, 53255, 61320, 68606, 54378, 51149, 50841, 51649, 50863, 50909, 50855, 54039, 50941, 51439, 53497, 54023, 50572, 52973, 66679, 68671, 58701, 61944, 73927, 50844, 51057, 51774, 50905, 51660, 50845, 51434, 50905, 50964, 51388, 51439, 50870, 52138, 50863, 52892, 52212, 53281, 76915, 51880, 74411, 65442, 56010, 60685, 50909, 50829, 51149, 50839, 51439, 50891, 51439, 54131, 58071, 60668, 79042, 59556, 64493, 54964, 50927, 51388, 51439, 50908, 51439, 50829, 52138, 50863, 52138, 55018, 51074, 50832, 61320, 50905, 51240, 75741, 50909, 50829, 51149, 50829, 51439, 50891, 51439, 50846, 52138, 56240, 57575, 68607, 56854, 55771, 66031, 51270, 60806, 53906, 50964, 51834, 50323, 50870, 52138, 50825, 52253, 57361, 67614, 54413, 50873, 51587, 68671, 50378, 52638, 63973, 64493, 55730, 51439, 50908, 52138, 50368, 52082, 51880, 50873, 51270, 60806, 53911, 50927, 51354, 51149, 50820, 51439, 50908, 52138, 50863, 50909, 63670, 50833, 52107, 56106, 54592, 50572, 51880, 61320, 79042, 60806, 59365, 56857, 51439, 50870, 52138, 54839, 54592, 50572, 51880, 66679, 79042, 56854, 55771, 61639, 50907, 51057, 51614, 51412, 51515, 51203, 51440, 51124, 51007, 50825, 51649, 50837, 51257, 65965, 50857, 54039, 50864, 52107, 51014, 52451, 51447, 52592, 51703, 50804, 68727, 51880, 50873, 51587, 68671, 50379, 52638, 56010, 64493, 58172, 51649, 50825, 54039, 52144, 50873, 50418, 51649, 50825, 54039, 59346, 51649, 50855, 54039, 54878, 51007, 50820, 51257, 50841, 51649, 50863, 51649, 50834, 54039, 55536, 53255, 61320, 68606, 54252, 51649, 50825, 54039, 50813, 52107, 55146, 56701, 58071, 66679, 79042, 64136, 55771, 64493, 54504, 50945, 51834, 50325, 50837, 54039, 50870, 52544, 50386, 53221, 53288, 74411, 50379, 52638, 63973, 56274, 51257, 50820, 51649, 50863, 51649, 50820, 54039, 50870, 54039, 77729, 65965, 50812, 52544, 54078, 54090, 60668, 68606, 52739, 50927, 51834, 50325, 50863, 54039, 50863, 52544, 50384, 53221, 53255, 55632, 50909, 50835, 51149, 50841, 51439, 50828, 51649, 50863, 54039, 50870, 52544, 52764, 54592, 50572, 51880, 66679, 79042, 56854, 55771, 64493, 50907, 51057, 51774, 51134, 51660, 51241, 51434, 51351, 72542, 51439, 50863, 52138, 50863, 52575, 50961, 53281, 51314, 52892, 52147, 68153, 58071, 60668, 79042, 65442, 56010, 59365, 62311, 50909, 50828, 51149, 50841, 51439, 50891, 51439, 50828, 52138, 50863, 52575, 55060, 58071, 60668, 62004, 54964, 51439, 50870, 51439, 50820, 52138, 50863, 52138, 50820, 52575, 55060, 68727, 54995, 61320, 68606, 54252, 50909, 50839, 51149, 50839, 51439, 50891, 51439, 50828, 52138, 50863, 52575, 55146, 52668, 68607, 58701, 61944, 53049, 51069, 50949, 51439, 50870, 52138, 50825, 52544, 51286, 51289, 51880, 74411, 79913 ]
[ 0, 250, 765, 8, 15352, 30054, 3495, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 3152, 6757, 6, 13305, 6, 3741, 27374, 594, 6, 17605, 9590, 6, 8, 32909, 6, 70, 29354, 561, 7, 1045, 10, 32076, 8, 17627, 17274, 6711, 6, 19, 5, 20299, 24826, 198, 10, 272, 119, 406, 6, 272, 119, 401, 6, 211, 406, 6, 8, 230, 406, 33215, 13931, 11, 5, 762, 9, 272, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50799, 50642, 53480, 50952, 50418, 52724, 65023, 53252, 56382, 52230, 62815, 52118, 56080, 52661, 53402, 52360, 68563, 51085, 50810, 51120, 50940, 51234, 50834, 60748, 50810, 63596, 50940, 69576, 64562, 51315, 50897, 76302, 50897, 50441, 51050, 50800, 62965, 58350, 51026, 50800, 57969, 50800, 52661, 50878, 50443, 51027, 50859, 57523, 54811, 50997, 50940, 56452, 50940, 50445, 50900, 50858, 56170, 63774, 50899, 50859, 55017, 50859, 53276, 50952, 50447, 68134, 55209, 60972, 50871, 50859, 64782, 54609, 50859, 53455, 69458, 59836, 52949, 53484, 67944, 53503, 50910, 53328, 67098, 56251, 52301, 73170, 66638, 51914, 53987, 72370, 51953, 64998, 66695, 51859, 50808, 52360, 50878, 50455, 60003, 51676, 51754, 74964, 51617, 63848, 51081, 50809, 52317, 58839, 51062, 50887, 51829, 50887, 54548, 71428, 69784, 51982, 59342, 51430, 50841, 52328, 58660, 51339, 50841, 52463, 50841, 50799, 53117, 50950, 53482, 50809, 56322, 50950, 55532, 50914, 52360, 50833, 53074, 50808, 54122, 50808, 50964, 51747, 53277, 50586, 53174, 50415, 51206, 51307, 50422, 51579, 50830, 51579, 50921, 52357, 51492, 54753, 51492, 51866, 55889, 52067, 50910, 52067, 50910, 53482, 51541, 52118, 50859, 52360, 50941, 50964, 51294, 52148, 56411, 78137, 52629, 51033, 52629, 51033, 52724, 50971, 52194, 64543, 52724, 55924, 60349, 51552, 50446, 52629, 50948, 52629, 50948, 54664, 50884, 52760, 50833, 52230, 50844, 52345, 50862, 52194, 56780, 52843, 52067, 50925, 52067, 50925, 55151, 50862, 52148, 65737, 51579, 50857, 51579, 50857, 53394, 50846, 54470, 50841, 51866, 54742, 50851, 50799, 53954, 50806, 53954, 50806, 61290, 50865, 53252, 50910, 52118, 50977, 52488, 52420, 73050, 53480, 53272, 51579, 50800, 51579, 50800, 52067, 50822, 52067, 50822, 53508, 50864, 53874, 50904, 51866, 50800, 52148, 53832, 59880, 55151, 50813, 52230, 50812, 52345, 56873, 52877, 51579, 50936, 51579, 50936, 53480, 50864, 51866, 55404, 55250, 53174, 50446, 52067, 50858, 52067, 50858, 53394, 50884, 53480, 50828, 50945, 50846, 52148, 53474, 54004, 55151, 50849, 52230, 50952, 52360, 50854, 51186, 64210, 61981, 54664, 50864, 51133, 53352, 50907, 50799, 53482, 50904, 55532, 51391, 50964, 53579, 66553, 51579, 50855, 51579, 50855, 51866, 54156, 52067, 50830, 52067, 50830, 53482, 51661, 52118, 50921, 52360, 50977, 50964, 51496, 52148, 53071, 78137, 52629, 51033, 52629, 51033, 52724, 50857, 52194, 64543, 55151, 50959, 52724, 53966, 54996, 52369, 50446, 52629, 51033, 52629, 51033, 54664, 50812, 52230, 50833, 52345, 50942, 52194, 62567, 54276, 52067, 50897, 52067, 71482, 55588, 62705, 51579, 50813, 51579, 50813, 53508, 50828, 54470, 50834, 51866, 53352, 50864, 50799, 52629, 50911, 52629, 50911, 61290, 50936, 53252, 50897, 52118, 50977, 52194, 55195, 54156, 51339, 50809, 51814, 50894, 52463, 50809, 53329, 53056, 50904, 53924, 55381, 51487, 51573, 52836, 51573, 50804, 60349, 53174, 53526, 52843, 51814, 50859, 55151, 51101, 53329, 50859, 52360, 50800, 53074, 50858, 54122, 50830, 51186, 53543, 71529, 51146, 50940, 51405, 50833, 54664, 50886, 51982, 50940, 53426, 50833, 52360, 50851, 53074, 50857, 54122, 50854, 51133, 54597, 50851, 65578, 50806, 51579, 50806, 53482, 50859, 55532, 50905, 65648, 51866, 52090, 66685, 52067, 50830, 52067, 50830, 51062, 50940, 51829, 50940, 52148, 53244, 53482, 51226, 52118, 51851, 52345, 51258, 52360, 51123, 52779, 50941, 50964, 52195, 50798, 68624, 52629, 50821, 52629, 50821, 52724, 50834, 52194, 52877, 54664, 50938, 52724, 53966, 55681, 53174, 50446, 52629, 50800, 52629, 50800, 54664, 50846, 52230, 50897, 52345, 50925, 52194, 51907, 54596, 52067, 50942, 52067, 50942, 55151, 50955, 52724, 50886, 52148, 57990, 57461, 51579, 51000, 51579, 51000, 53394, 50841, 54470, 50864, 51866, 58652, 50912, 50799, 52629, 50948, 52629, 50948, 57971, 50987, 53252, 50854, 52118, 51008, 52194, 57603, 58745, 53508, 50841, 53480, 60705, 59197, 51579, 50834, 51579, 50834, 52067, 50854, 52067, 50854, 55151, 51074, 53874, 50841, 51866, 50834, 52148, 53590, 59880, 54664, 50942, 52230, 50858, 52345, 53661, 52877, 51579, 50879, 51579, 50879, 53394, 50941, 53480, 50867, 51866, 53543, 61551, 52311, 50446, 52067, 50897, 52067, 50897, 53508, 50809, 53480, 50818, 52148, 55588, 54276, 55151, 50873, 52230, 50830, 52360, 50941, 51186, 54581, 57459, 51579, 50855, 51579, 50855, 54664, 50904, 52118, 50864, 51133, 50808, 51866, 54345, 50844, 50799, 55558, 50921, 55558, 50921, 53482, 50855, 55532, 51542, 53874, 51576, 69126, 53397, 56728, 56818, 57317, 50952, 57317, 50952, 53572, 58063, 54654, 57238, 50830, 57238, 50830, 69784, 51430, 51682, 50334, 51954, 50335, 51286, 52052, 51388, 53482, 51016, 51982, 50800, 52328, 50862, 54488, 50904, 52836, 51286, 55193, 51388, 52118, 50808, 52360, 50917, 50964, 51285, 53192, 53071, 57083, 67580, 50882, 67580, 50882, 52724, 50864, 55495, 54092, 55108, 61477, 51030, 61477, 51030, 55151, 50878, 52724, 50839, 53459, 67451, 53174, 50446, 51579, 50839, 51579, 50839, 59179, 51339, 50858, 51814, 50930, 54664, 50812, 51829, 50800, 52463, 50858, 53329, 50930, 52230, 50942, 52345, 50917, 51866, 53966, 53153, 55558, 50936, 55558, 50936, 53397, 55404, 58892, 50931, 70789, 50884, 53508, 50846, 51859, 50825, 51676, 50884, 54470, 53784, 50822, 50799, 52629, 50936, 52629, 51919, 50330, 51175, 51787, 50950, 51487, 50805, 52052, 51354, 61290, 50940, 51982, 51175, 54488, 50950, 52836, 50805, 55193, 51354, 53252, 50952, 52118, 50897, 52194, 59872, 57257, 53480, 54504, 76531, 51339, 50808, 51814, 50808, 51829, 50910, 52463, 50808, 53329, 50808, 53874, 53871, 68974, 51579, 50829, 51579, 50829, 53276, 50921, 53074, 50858, 51866, 55018, 54728, 61477, 51021, 61477, 53318, 50326, 51175, 51405, 51160, 51487, 51427, 55151, 50805, 52317, 51175, 53426, 51160, 52836, 51427, 52661, 50867, 53459, 57361, 53816, 51045, 50446, 54664, 50925, 53480, 54499, 54596, 57238, 50911, 57238, 52370, 50325, 50830, 51146, 51828, 50333, 50893, 53394, 51110, 51617, 50830, 51982, 50865, 52463, 50893, 52779, 50952, 53328, 50941, 53074, 51126, 71597, 53192, 54780, 71529, 55151, 50878, 51019, 54806, 50886, 50799, 55558, 52266, 55558, 52266, 50951, 51215, 51220, 50882, 51062, 51644, 50331, 51192, 53394, 50800, 54664, 51128, 51676, 51215, 52333, 50882, 51829, 50905, 53426, 51192, 54470, 51204, 64628, 53397, 52266, 50798, 62553, 59980, 51206, 51353, 50426, 50951, 71506, 50867, 53394, 51290, 51676, 50862, 51829, 50867, 52661, 50808, 53276, 50952, 50945, 64418, 60661, 52118, 53945, 57971, 50879, 53252, 54499, 55250, 53174, 50446, 50951, 50828, 51062, 50840, 54664, 50833, 51676, 50828, 51829, 50840, 52118, 50941, 52345, 51000, 52360, 57990, 54596, 57238, 50948, 57238, 50948, 61290, 50925, 53192, 56780, 57459, 52629, 50940, 52629, 50940, 50876, 50834, 55151, 50841, 52301, 50834, 53480, 50846, 52194, 56956, 50813, 56807, 50846, 51062, 56164, 50299, 50822, 51676, 50846, 51829, 50800, 53252, 50952, 52360, 53834, 50858, 53951, 57203, 54664, 50834, 52724, 59606, 56585, 50931, 50841, 51081, 57234, 50295, 50830, 51859, 50841, 52317, 50809, 52230, 50833, 52360, 53497, 55381, 53252, 54742, 56593, 53174, 76495, 50818, 55151, 50841, 53503, 52572, 54105, 72367, 51081, 51173, 61290, 50924, 51859, 50940, 52317, 51173, 52118, 50854, 52360, 50910, 52053, 59872, 66767, 51579 ]
[ 0, 713, 8787, 5175, 8, 3495, 15229, 11, 83, 3694, 22750, 1626, 11098, 8, 1007, 149, 63, 15352, 30054, 12049, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 20, 10170, 1499, 8, 6755, 12547, 185, 5, 483, 6, 2800, 30, 5, 21979, 9590, 6, 13305, 6, 8, 21072, 6, 70, 11491, 13871, 561, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 19, 5, 40286, 381, 8, 1918, 16331, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50433, 53105, 51010, 50439, 52368, 51010, 50445, 51871, 50950, 50451, 51691, 50950, 50454, 51871, 51138, 50457, 51691, 51045, 50460, 51908, 50950, 51601, 51666, 50950, 50421, 52619, 51541, 50422, 51216, 51310, 51113, 57912, 50801, 65001, 51873, 51541, 52393, 51090, 50428, 51040, 65802, 61540, 50820, 51488, 56869, 51266, 56869, 50852, 63329, 57577, 52498, 50882, 51666, 51033, 50440, 51273, 77704, 57035, 50878, 57634, 51107, 54386, 51201, 54386, 52219, 51002, 66794, 50843, 52101, 51601, 51873, 50882, 50416, 51216, 52415, 50305, 58628, 50810, 56756, 51113, 68086, 51488, 68086, 51266, 68086, 52219, 51002, 63024, 51871, 50882, 50428, 51868, 52415, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 50439, 51908, 50882, 50440, 51984, 52415, 50305, 58628, 76146, 53095, 53474, 66794, 52393, 50882, 50452, 51493, 51741, 50305, 58628, 76146, 53095, 55509, 63329, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51216, 52415, 50305, 58628, 76146, 53095, 53474, 70038, 51873, 51286, 50427, 51988, 50930, 50428, 51868, 52415, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 50433, 51873, 68749, 53094, 51090, 50440, 51984, 52415, 50305, 58628, 76146, 53095, 53474, 66794, 51873, 51566, 50452, 51216, 51741, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 51873, 54092, 50907, 50416, 51273, 77704, 57035, 50810, 56756, 51113, 68086, 51107, 68086, 51201, 68086, 52219, 51002, 63024, 52368, 50882, 50428, 51140, 77704, 57035, 76146, 55309, 50366, 51015, 53474, 68099, 51691, 50930, 50440, 51216, 77704, 57035, 76146, 53095, 53474, 66794, 51666, 50882, 50452, 52419, 61849, 57035, 76146, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51273, 77704, 57035, 76146, 53095, 53474, 65290, 51873, 51286, 50428, 51988, 50930, 51140, 77704, 57035, 60951, 55309, 50366, 51015, 53474, 65053, 51873, 50882, 50440, 53094, 51566, 51216, 77704, 57035, 60951, 53095, 53474, 80135, 51873, 51566, 51273, 61849, 57035, 76146, 55309, 50366, 51015, 53474, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51873, 50882, 51216, 52415, 50305, 58628, 50810, 56756, 51113, 68086, 51488, 68086, 51266, 68086, 52219, 51002, 78950, 51871, 50930, 51868, 52415, 50305, 58628, 60951, 55309, 50366, 51015, 53474, 50854, 50440, 51908, 50930, 51984, 52415, 50305, 58628, 76146, 53095, 53474, 80135, 52393, 50882, 51493, 51741, 50305, 58628, 60951, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51216, 52415, 50305, 58628, 60951, 53095, 53474, 65290, 51873, 51090, 50428, 51868, 52415, 50305, 58628, 76146, 55309, 50366, 51015, 53474, 65053, 51988, 75719, 51873, 50930, 50440, 53094, 51566, 51984, 52415, 50305, 58628, 60951, 53095, 53474, 80135, 51873, 51500, 51493, 51741, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51873, 50930, 51273, 77704, 57035, 50810, 56756, 51113, 68086, 51107, 68086, 51201, 50362, 50412, 52219, 51002, 78950, 52368, 50930, 51140, 77704, 57035, 76146, 53095, 53474, 59301, 51269, 50440, 51691, 50930, 51216, 77704, 57035, 76146, 53095, 53474, 80135, 51666, 50882, 52419, 61849, 57035, 76146, 55309, 50366, 51015, 53474, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51273, 77704, 57035, 76146, 53095, 53474, 65290, 51873, 50911, 50428, 51988, 50882, 51140, 77704, 57035, 76146, 55309, 50366, 51015, 53474, 65053, 51873, 50930, 50440, 53094, 51566, 51216, 77704, 57035, 76146, 53095, 53474, 80135, 51873, 51566, 51273, 61849, 50813, 59289, 56756, 51600, 56869, 50843, 50366, 51015, 53474, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51994, 51090, 51098, 77704, 50813, 56437, 60834, 51165, 68086, 51107, 68086, 51182, 68086, 52219, 51002, 78950, 51666, 50882, 51261, 77704, 50813, 56437, 50906, 55309, 50366, 51015, 53474, 50854, 50440, 52393, 50882, 51389, 77704, 73045, 53095, 53474, 62079, 60834, 50452, 51666, 50882, 51273, 51312, 70798, 50861, 55309, 50366, 51015, 53474, 57622, 60834, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51098, 77704, 73045, 53095, 53474, 60685, 50906, 59946, 52393, 51427, 50428, 51261, 77704, 73045, 55309, 50366, 51015, 53474, 57544, 50906, 52658, 51666, 51033, 50436, 52393, 51033, 50440, 51666, 51500, 51389, 77704, 73045, 53095, 53474, 62079, 60834, 50452, 51908, 51566, 51098, 61849, 62614, 55309, 50366, 51015, 53474, 57622, 60834, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 52498, 51090, 51273, 77704, 62221, 50810, 51113, 68086, 51107, 68086, 51201, 68086, 52219, 51002, 60685, 50877, 61822, 51666, 50882, 51140, 77704, 62221, 55309, 50366, 51015, 53474, 57544, 56756, 50440, 52393, 50882, 51216, 77704, 57035, 53095, 53474, 62079, 56756, 50452, 51666, 51033, 52419, 51312, 50899, 57035, 55309, 50366, 51015, 53474, 57622, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51273, 77704, 57035, 53095, 53474, 60685, 56756, 50422, 52393, 51286, 50428, 51666, 50930, 51140, 77704, 57035, 55309, 50366, 51015, 53474, 57544, 56756, 50434, 52393, 50930, 50440, 51666, 51090, 51216, 77704, 57035, 53095, 53474, 62079, 56756, 50452, 51908, 51090, 51273, 61849, 57035, 53095, 53474, 59301, 51269, 50453, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51873, 50882, 51216, 52415, 50305, 58628, 50810, 51113, 68086, 51488, 68086, 51266, 68086, 52219, 51002, 60685, 56756, 50428, 51908, 50882, 51868, 52415, 50305, 58628, 55309, 50366, 51015, 53474, 57544, 56756, 50440, 52183, 50882, 51984, 52415, 50305, 58628, 53095, 53474, 62079, 56756, 50452, 51908, 51033, 51493, 51741, 50305, 58628, 53095, 55509, 63329, 57622, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51216, 52415, 50305, 58628, 53095, 53474, 60685, 56756, 50421, 51691, 50930, 52939, 70838, 51871, 51030, 50428, 51691, 51030, 51868, 52415, 50305, 58628, 53095, 55509, 63329, 57544, 56756, 50434, 51908, 50911, 50440, 51666, 51090, 51984, 52415, 50305, 58628, 53095, 53474, 62079, 56756, 50452, 52393, 51566, 51216, 51741, 50305, 58628, 53095, 53474, 59301, 51269, 50453, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51666, 50930, 51389, 77704, 57035, 50810, 51113, 56869, 51107, 56869, 51201, 56869, 52219, 51002, 60685, 56756, 50422, 51873, 51551, 51216, 51310, 50801, 50858, 50428, 52393, 51566, 51908, 51566, 51040, 50820, 51113, 56869, 51488, 56869, 51266, 56869, 50804, 55603, 51269, 50429, 50916, 61540, 62047, 51666, 51033, 51691, 50882, 51273, 77704, 50878, 51113, 54386, 51107, 54386, 51201, 54386, 52219, 51002, 62079, 57956, 56756, 50452, 50843, 52101, 51809 ]
[ 0, 250, 32076, 8, 15352, 30054, 11057, 2214, 4246, 10, 13602, 6757, 6, 21979, 9590, 6, 13305, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 21072, 6, 278, 11, 10, 2635, 155, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 3694, 6, 19, 10, 33215, 16739, 9, 230, 119, 6, 272, 406, 6, 230, 119, 6, 8, 163, 428, 406, 6, 2351, 10, 1372, 8, 20425, 6711, 19, 10, 11602, 9, 10, 2365, 8, 1619, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50622, 51034, 50640, 50426, 53281, 51907, 56675, 67757, 53603, 51907, 56675, 62500, 52892, 51907, 56675, 52877, 55463, 50807, 51150, 51654, 52997, 50821, 51034, 53952, 63161, 51244, 50931, 51244, 51147, 51047, 51062, 51148, 51461, 50889, 51728, 51104, 76749, 50426, 52892, 51907, 56675, 67757, 55463, 51907, 56675, 62500, 53952, 51907, 56675, 52877, 54676, 50807, 51150, 50805, 51577, 51002, 54250, 50373, 54945, 51034, 56676, 63057, 51490, 51001, 51490, 50951, 51244, 51062, 51535, 51461, 50889, 68803, 57396, 53220, 55463, 51907, 56675, 54250, 64370, 66434, 53952, 51907, 56675, 62500, 54676, 51907, 56675, 52877, 56676, 50807, 51150, 50805, 51577, 51002, 54250, 64370, 51051, 51034, 55561, 63161, 51314, 50931, 51080, 51147, 51145, 51062, 51244, 51461, 50889, 51577, 51104, 61605, 52654, 53952, 51907, 56675, 54250, 56897, 72435, 54676, 51907, 56675, 62500, 56676, 51907, 56675, 52877, 55561, 50807, 51150, 50805, 51577, 51002, 54250, 64370, 50955, 51034, 60587, 55695, 51775, 51001, 51411, 51147, 51025, 51461, 50889, 51577, 51104, 64370, 50955, 53523, 55174, 50871, 53849, 50877, 53478, 51140, 61467, 62769, 51365, 50852, 72153, 58927, 51140, 51095, 51068, 57725, 51365, 50446, 51098, 52764, 50821, 51034, 51339, 50874, 51216, 57370, 59557, 51365, 50417, 51430, 53004, 51339, 56174, 51430, 53881, 51339, 51452, 51461, 74039, 51055, 50816, 51365, 68005, 51095, 51068, 77065, 51365, 51034, 51493, 57370, 77065, 70236, 54812, 50917, 51140, 52862, 60223, 69406, 54812, 50849, 51140, 57370, 51167, 50816, 51365, 50444, 54414, 50849, 51098, 50805, 51034, 53250, 50897, 51216, 63324, 51167, 50816, 70236, 54414, 50849, 51098, 52862, 72880, 51365, 50434, 51068, 56360, 54414, 50849, 51098, 52918, 60223, 51365, 50444, 53250, 50849, 51216, 50805, 51034, 53077, 51159, 51261, 52862, 53757, 70236, 54812, 51162, 51140, 74039, 60223, 51365, 53550, 77065, 51365, 51034, 50804, 77065, 70236, 54812, 50849, 51140, 61467, 72880, 51365, 50435, 51068, 57626, 54812, 51110, 51140, 63324, 60223, 51365, 50446, 54414, 50897, 51098, 50808, 51034, 53250, 50914, 51216, 70305, 53757, 70236, 54414, 50849, 51098, 52862, 60223, 69406, 54414, 51110, 51098, 64392, 51226, 50816, 51365, 50446, 53250, 50897, 51216, 50910, 51034, 53077, 51159, 51261, 51157, 51577, 51106, 70236, 53771, 50914, 51150, 78689, 72880, 51365, 50435, 51068, 50921, 53550, 60223, 51365, 51034, 50804, 60223, 51365, 50419, 50999, 51008, 50421, 78966, 50424, 50876, 53901, 50877, 51336, 53077, 51110, 51261, 65501, 60223, 51365, 50434, 54414, 56057, 53077, 64544, 51226, 50816, 51365, 50446, 53407, 50897, 51034, 50965, 50896, 53771, 51110, 51493, 51346, 51577, 51106, 69280, 53077, 50897, 54439, 51336, 53250, 51110, 51216, 51446, 50801, 72880, 51365, 50434, 54812, 68066, 51068, 56360, 53250, 64544, 60223, 51365, 50446, 53771, 50897, 51034, 50989, 50896, 53077, 51110, 51273, 70305, 53757, 69280, 53250, 50897, 54439, 51091, 54414, 50849, 51098, 65501, 60223, 51365, 53550, 51226, 50816, 51365, 79084, 59557, 70236, 54812, 50849, 51140, 78689, 72880, 51365, 50435, 51068, 56360, 54812, 51110, 51140, 63324, 60223, 51365, 50446, 54414, 50897, 51098, 50808, 51034, 53250, 50849, 51216, 57130, 53757, 70236, 54414, 50849, 51098, 74039, 60223, 69406, 54414, 51110, 51216, 64392, 51226, 50816, 51365, 50446, 54812, 50897, 51261, 50858, 51034, 55062, 51162, 51150, 51227, 51577, 51106, 70236, 56587, 51100, 51140, 80063, 51055, 50816, 51365, 53550, 72880, 51365, 50446, 51068, 50921, 51034, 50804, 54301, 69280, 51068, 53939, 53250, 50914, 51140, 57130, 51160, 50434, 55561, 50818, 56676, 50818, 53952, 50818, 55463, 53593, 51068, 56360, 57147, 51110, 51150, 55506, 50896, 50446, 53250, 50897, 51034, 57147, 51110, 51522, 57130, 72015, 53250, 55640, 54414, 50914, 51098, 57130, 50896, 50434, 54676, 50818, 53205, 50818, 53799, 52565, 55062, 50914, 51150, 55506, 51226, 51034, 54414, 50914, 52078, 78689, 66685, 51150, 52450, 53250, 50914, 51793, 57130, 51160, 50434, 56676, 50818, 53952, 50818, 55463, 50809, 52892, 53593, 51068, 56360, 57147, 50914, 51150, 60503, 50896, 50446, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 50818, 51034, 53250, 50914, 51522, 52862, 52247, 53777, 51159, 51930, 58546, 50896, 50430, 51261, 59979, 53205, 50818, 53799, 50818, 54801, 50818, 51098, 52599, 53777, 51162, 51560, 69362, 51226, 50446, 53205, 50818, 53799, 50818, 54801, 50818, 67834, 78689, 62991, 51098, 52450, 53250, 51159, 51140, 68393, 51160, 50434, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 53593, 51068, 50921, 50437, 57147, 78583, 51522, 55506, 50896, 50446, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 50818, 53250, 50812, 51034, 57147, 51110, 51098, 74039, 72015, 53250, 50812, 51140, 52450, 54414, 50914, 51150, 57130, 50896, 50434, 54676, 50818, 53205, 50818, 53799, 52565, 55062, 51159, 52078, 55506, 51226, 50446, 54676, 50818, 53205, 50818, 53799, 50818, 51034, 54414, 50914, 51150, 74039, 66685, 52078, 56382, 53250, 50914, 51793, 57130, 51160, 50434, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 53593, 51068, 50936, 57385, 55506, 50896, 50446, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 50818, 57147, 50917, 51034, 53250, 50914, 51522, 57130, 52247, 53407, 51159, 51868, 57130, 50896, 50434, 59088, 50818, 53952, 50818, 55463, 52565, 53407, 51191, 51150, 55506, 51226, 50446, 59088, 50818, 53952, 50818, 55463, 50818, 78459, 57130, 52422, 59088, 51091, 56676, 51091, 53205, 51091, 53777, 51100, 51930, 74039, 51160, 50434, 51261, 65470, 51068, 56360, 54414, 51110, 51560, 55506, 50896, 50446, 59088, 50818, 56676, 50818, 53205, 50818, 53250, 50897, 51034, 55343, 51100, 51098, 74039, 72015, 54414, 50897, 51560, 56382, 53250, 50914, 51522, 70305, 50896, 50434, 55561, 50818, 56676, 50818, 55463, 52444, 54414, 51162, 51930, 55506, 51226, 51034, 53250, 50914, 51150, 74039, 66685, 51150, 56382, 53777, 50914, 51261, 57130, 51160, 50434, 59088, 50818, 56676, 50818, 53205, 53593, 51068, 56360, 55343, 50914, 51930, 73504, 50896, 50446, 59088, 50818, 56676, 50818, 53205, 50818, 51034, 54414, 50914, 51261, 74039, 72015, 51930, 52450, 53250, 50914, 51522, 57130, 50896, 50434, 55561, 50818, 56676, 50818, 55463, 52444, 53250, 50914, 51930, 55506, 51226, 50446, 55561, 50818, 56676, 50818, 55463, 50818, 68423, 74039, 62991, 51522, 52450, 54414, 51110, 51098, 57130, 51160, 50434, 55561, 50809, 54676, 50818, 53205, 50818, 57147, 68066, 51068, 56360, 55062, 51110, 51868, 60503, 50896, 50446, 55561, 50818, 54676, 50818, 53205, 50818, 54414, 50897, 51034, 57147, 51100, 51261, 74039, 72015, 55062, 50897, 51098, 56382, 57147, 51159, 51140, 57130, 50896, 50434, 55561, 50818, 56676, 50818, 53952, 50818, 53256, 52565, 55062, 51159, 51522, 60503, 51226, 50446, 55561, 50818, 56676, 50818, 55463, 50818, 51034, 56587, 51159, 51140, 74039, 66685, 51098, 52450, 55062, 50914, 51493, 57130, 51160, 50434, 55561, 50818, 54676, 50818, 53205, 53593, 51068, 56360, 56587, 50914, 51461, 60503, 50896, 50446, 55561, 50818, 54676, 50818, 53205, 57868, 51493, 51095, 51034, 60293, 66781, 72015, 51461, 56382, 56587, 50849, 51140, 51346, 50801, 53585, 51150, 55506, 51226, 67834, 70305, 52422, 51027, 50879, 54812, 51100, 51140, 78689, 53585, 51027, 51095, 54812, 51110, 51140, 63324, 51160, 68473 ]
[ 0, 250, 2635, 12, 20764, 3495, 3152, 657, 2214, 11, 381, 3694, 6, 4246, 3459, 8, 21979, 23674, 366, 6, 29589, 6, 8, 21072, 6, 19, 10, 15352, 30054, 8, 1372, 16464, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 10, 11602, 9, 1619, 4780, 6, 25, 24, 30853, 81, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 40286, 272, 6, 3676, 6, 8, 163, 119, 8165, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 50458, 51547, 61243, 51229, 51233, 50799, 52775, 52378, 53359, 51199, 52003, 51109, 51816, 51380, 50420, 51390, 50836, 53795, 51277, 50423, 51390, 79216, 53359, 51775, 52003, 51267, 52775, 52378, 51816, 51709, 50432, 53795, 54938, 53359, 51480, 52003, 51056, 52775, 52056, 51816, 51576, 50444, 53795, 73265, 53359, 51480, 52003, 51480, 52775, 52188, 51816, 51852, 50456, 53795, 71256, 51547, 61982, 51229, 51203, 50799, 53359, 51534, 53643, 51025, 52775, 51484, 51816, 52188, 50420, 53795, 51309, 50421, 51934, 60892, 51934, 51803, 50426, 53359, 51484, 53643, 51806, 52775, 51709, 51816, 51806, 50432, 53795, 70351, 53359, 51253, 53643, 50995, 52775, 51253, 51816, 59791, 53795, 66809, 53359, 51480, 53643, 51480, 52775, 51480, 51816, 51480, 50456, 53795, 51328, 50799, 53359, 51480, 52114, 51253, 52126, 51480, 51771, 51253, 50420, 56887, 51645, 50423, 51334, 52870, 51334, 50845, 51771, 51411, 52114, 51411, 53359, 51411, 52126, 71895, 56887, 70139, 51334, 52766, 51334, 50977, 53897, 51480, 53359, 51484, 52114, 51709, 52126, 51253, 51771, 51806, 50446, 51334, 62135, 51390, 67426, 53897, 51797, 53359, 51172, 52114, 51480, 52126, 51484, 51771, 51852, 50456, 51334, 51419, 50799, 55516, 51134, 53359, 51480, 52114, 51253, 51890, 51480, 51816, 51480, 50426, 51334, 51377, 51816, 52056, 53359, 51576, 52114, 52378, 51890, 51484, 50432, 55516, 55270, 51209, 59380, 51229, 72600, 55516, 51480, 53359, 51645, 52114, 52034, 51890, 51025, 51816, 52378, 50450, 55516, 51337, 53359, 51775, 52114, 51775, 51890, 51775, 51816, 51380, 50460, 51614, 51878, 50461, 51229, 51177, 51944, 52015, 50799, 53359, 51199, 52003, 51109, 51816, 51380, 50415, 51440, 51417, 50416, 51669, 51477, 50419, 51390, 52432, 53795, 51277, 50421, 51390, 68076, 53359, 51775, 52003, 51267, 52775, 52378, 51816, 51709, 50432, 53795, 54938, 53359, 51480, 52003, 51056, 52775, 52056, 51816, 51576, 51614, 52482, 50441, 51669, 63236, 53795, 51481, 51440, 51309, 50447, 51944, 53674, 50449, 51390, 54004, 53359, 51480, 52003, 51480, 52775, 52188, 51816, 51852, 51614, 52168, 50452, 51229, 56974, 53795, 50905, 51440, 52212, 50457, 51547, 51337, 50799, 53359, 51534, 53643, 51025, 52775, 51484, 51816, 52188, 50420, 51547, 50810, 53795, 51309, 50423, 51934, 53425, 51934, 51623, 53359, 51484, 53643, 51806, 52775, 51709, 51816, 51806, 50432, 53795, 70351, 53359, 51253, 53643, 50995, 52775, 51253, 51816, 50995, 51614, 79869, 51944, 51212, 51669, 63959, 53795, 51277, 52361, 75756, 53359, 51480, 53643, 51480, 52775, 51480, 51816, 51480, 51440, 51412, 50456, 53795, 51328, 51944, 51254, 50799, 53359, 51480, 52114, 51253, 52126, 51480, 51771, 51253, 51660, 51749, 50420, 56887, 51645, 50424, 51334, 52928, 51771, 51411, 52114, 51411, 53359, 51411, 52126, 51363, 52807, 67322, 51334, 51100, 50428, 52257, 52188, 50432, 56887, 50905, 52043, 69876, 51607, 51965, 50436, 51334, 52766, 51334, 51100, 53897, 51480, 53359, 51484, 52114, 51709, 52126, 51253, 51771, 51806, 51434, 54211, 50439, 51440, 54211, 50447, 51334, 54385, 51390, 50849, 53897, 51797, 53359, 51172, 52114, 51480, 52126, 51484, 51771, 51852, 50456, 51334, 51400, 50799, 55516, 51134, 53359, 51480, 52114, 51253, 51890, 51480, 51816, 51480, 51515, 52916, 51440, 53486, 50420, 53876, 51753, 50426, 51334, 51056, 51816, 52056, 53359, 51576, 52114, 52378, 51890, 51484, 52807, 51852, 50432, 55516, 55270, 51209, 50864, 52327, 51210, 50437, 51229, 76810, 55516, 51480, 53359, 51645, 52114, 52034, 51890, 51025, 51816, 52378, 52043, 51642, 50445, 51607, 51381, 50449, 51440, 52034, 50450, 55516, 51337, 53359, 51775, 52114, 51775, 51890, 51775, 51816, 51380, 50799, 51390, 50873, 51816, 51484, 52951, 51172, 51890, 51412, 52003, 51576, 52557, 62912, 51893, 50855, 55333, 51412, 51614, 53588, 50423, 51893, 51803, 50426, 51890, 51162, 51816, 51312, 52951, 51576, 52003, 51199, 54258, 68181, 55333, 51775, 52807, 51277, 50437, 51816, 79891, 52951, 51534, 52003, 51484, 51890, 51255, 52327, 52263, 50443, 55333, 51480, 50449, 52951, 51423, 52003, 51423, 50450, 51890, 51233, 51816, 51797, 51669, 52048, 50455, 55333, 65897, 56887, 51142, 50461, 51390, 51194, 50799, 56734, 51194, 53168, 51411, 55009, 51080, 52003, 52378, 51890, 51162, 52745, 51748, 51614, 76350, 52807, 55740, 54797, 50933, 50421, 51893, 55155, 52807, 74570, 51893, 51742, 50426, 56734, 51376, 53168, 51411, 52003, 51576, 51890, 51267, 52257, 66942, 52327, 67673, 56734, 51412, 51669, 66859, 51607, 52788, 55009, 51806, 52003, 52378, 51890, 51411, 53168, 51025, 51808, 68288, 56734, 68500, 51890, 51267, 53168, 51312, 55009, 52056, 52003, 51576, 51440, 51330, 50455, 56734, 70529, 51334, 65264, 51209, 62800, 51229, 50873, 51390, 51194, 50799, 52114, 51056, 52126, 51411, 51771, 51109, 51959, 51312, 51774, 51939, 51660, 75856, 51924, 51562, 51334, 51790, 53897, 51242, 52043, 51677, 52257, 51212, 50425, 51607, 75498, 51771, 51709, 51959, 51775, 52114, 51203, 52126, 51411, 50432, 53897, 70351, 51771, 51576, 52114, 51775, 52126, 51534, 51959, 51484, 50444, 53897, 78271, 51334, 51194, 51209, 51852, 52114, 51363, 52126, 51363, 51771, 51576, 51959, 65817, 53897, 50974, 50458, 51229, 62908, 51390, 60091, 51924, 51194, 79479, 51178, 53359, 51411, 52114, 51484, 52126, 51025, 51816, 51775, 50419, 51660, 52140, 51774, 52140, 50420, 56887, 51277, 50422, 51334, 56133, 51924, 53049, 51334, 51255, 51924, 51124, 52126, 51025, 51816, 51484, 53359, 51534, 52114, 51645, 52043, 51803, 52807, 51803, 50432, 56887, 50838, 51607, 51490, 50435, 51924, 50925, 52004, 58450, 51334, 51177, 51924, 51242, 51816, 51576, 53359, 51203, 52114, 51852, 52126, 51412, 51440, 67302, 56887, 71715, 51924, 70832, 51334, 65673, 51390, 69654, 51229, 51363, 53359, 51043, 52126, 51480, 51816, 51576, 52114, 52063, 50456, 56887, 70395, 79529, 51334, 50854, 50799, 51229, 50905, 51390, 50849, 53168, 51411, 55009, 51411, 52126, 51025, 51771, 51775, 50420, 51590, 51397, 51924, 51535, 63623, 51277, 51660, 52256, 52745, 52256, 50426, 53168, 51775, 51771, 51806, 55009, 51480, 52126, 51480, 52043, 51939, 52257, 51939, 50432, 63623, 51481, 51434, 52980, 51808, 51680, 50438, 53168, 51412, 55009, 51484, 51771, 52188, 52126, 51255, 51669, 51965, 50445, 63623, 60779, 51924, 50822, 51209, 50959, 51334, 50942, 53168, 51534, 55009, 52034, 52126, 51363, 51771, 51852, 52003, 51423, 50453, 51229, 51203, 51390, 51116, 51893, 51534, 79479, 51177, 51924, 51111, 52004, 51212, 53897, 51381, 52126, 51411, 51816, 51480, 51959, 51377, 52114, 51534, 50419, 52807, 51330, 50423, 51334, 50829, 51924, 50820, 52004, 53383, 52004, 51328, 51334, 51363, 51924, 51221, 51959, 51255, 52114, 51309, 52126, 51309, 51816, 51534, 52257, 51576, 50432, 53897, 50892, 52043, 51328, 50435, 52004, 50867, 51924, 50844, 52004, 54123, 51334, 50974, 51924, 51177, 52004, 51212, 56734, 51391, 51816, 51534, 51959, 51377, 52114, 51363, 52126, 51363, 51771, 51480, 51607, 51310, 50447, 51334, 50912, 51924, 50833, 52004, 56060, 51893, 51309, 51229, 51534, 51390, 51116, 51816, 51309, 51959, 51124, 52114, 51337, 52126, 51534, 51771, 51480, 50456, 56734, 60864, 51209, 50874, 51334, 50808, 51924, 50854, 50799, 65905, 51390, 50849, 51893, 50845, 52114, 51412, 52126, 51412, 51771, 51172, 52427, 51025, 53897, 51204, 50420, 51590, 51134 ]
[ 0, 250, 33928, 1619, 3495, 2214, 19, 13134, 16882, 6, 4246, 10, 25044, 139, 10170, 1499, 6, 2236, 1021, 2678, 29, 6, 6755, 12547, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 21979, 8669, 4, 20, 33301, 16, 278, 11, 5, 762, 9, 230, 538, 6, 19, 10, 7212, 20889, 9, 13955, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 2214, 18, 4798, 17130, 6910, 18224, 198, 5, 40286, 230, 8, 272, 406, 6, 2351, 10, 32076, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50450, 53424, 50866, 53424, 50866, 53539, 50978, 53539, 58695, 56533, 50835, 59986, 50982, 64119, 54719, 53062, 51174, 53062, 51174, 52635, 50974, 52635, 63097, 58272, 50863, 56032, 50870, 56875, 50870, 50799, 52860, 50971, 52860, 50971, 53424, 50864, 53424, 50864, 50964, 51121, 51299, 51748, 51301, 53588, 51165, 53588, 50816, 62128, 54200, 55454, 53738, 52860, 50867, 52860, 50867, 53424, 50857, 53424, 50857, 60301, 79293, 50868, 55897, 54640, 52917, 52860, 50813, 52860, 50813, 53424, 50857, 53424, 50857, 50953, 69607, 55454, 53670, 52860, 50857, 52860, 50857, 53424, 50886, 53424, 50886, 60301, 74969, 50868, 55591, 55147, 54950, 50816, 53569, 52860, 50862, 52860, 50862, 53424, 50813, 53424, 50813, 50964, 53303, 55454, 53384, 52860, 50813, 52860, 50813, 53424, 50862, 53424, 50862, 50964, 60148, 50822, 79293, 50868, 55591, 55630, 53003, 53346, 50978, 53346, 50978, 52635, 50977, 52635, 50977, 50927, 57564, 55454, 53556, 53346, 50987, 53346, 50987, 53424, 50978, 53424, 50978, 51019, 50925, 50988, 50904, 79293, 50868, 55897, 55147, 55053, 50868, 50825, 73257, 50988, 61243, 51299, 52980, 50799, 52979, 51244, 52979, 51244, 53062, 51244, 53062, 51244, 50945, 51121, 51113, 52980, 51154, 52980, 50798, 55454, 53738, 50946, 50822, 59654, 50872, 55182, 55147, 50891, 52389, 56533, 55567, 68713, 50964, 51121, 67654, 54075, 50946, 50867, 59654, 50872, 55897, 54640, 54950, 50872, 50825, 60978, 50885, 56758, 51004, 53357, 57564, 56533, 53665, 52846, 52979, 51194, 52979, 51194, 50459, 53346, 50971, 53346, 65540, 50945, 51178, 51113, 53201, 50799, 52860, 50904, 52860, 50904, 51299, 53201, 51154, 52720, 50798, 62128, 54183, 52860, 50862, 52860, 75096, 50822, 58079, 50872, 55897, 54640, 52917, 52979, 50813, 52979, 50813, 50964, 69607, 55454, 53670, 53346, 50810, 53346, 70879, 50822, 59654, 50872, 55591, 55147, 52904, 52860, 50813, 52860, 77440, 69607, 55454, 53384, 52860, 50813, 52860, 66632, 50822, 58079, 50872, 55591, 55630, 53003, 52979, 51203, 52979, 51203, 50964, 69607, 55454, 53556, 50946, 50904, 58079, 50872, 63445, 55147, 55053, 53346, 50867, 53346, 60870, 52860, 50867, 52860, 50867, 50945, 51178, 51528, 55454, 53738, 52860, 50855, 52860, 50855, 50946, 50822, 59654, 50872, 55182, 55147, 52966, 53062, 50862, 53062, 50862, 50964, 69607, 55454, 53670, 53539, 50813, 53539, 66632, 50867, 59654, 50872, 55897, 54640, 54950, 50872, 50825, 60978, 50885, 52788, 54343, 50892, 54343, 50892, 50945, 69607, 55454, 53384, 50946, 50822, 59654, 50872, 55591, 55147, 57855, 51019, 57824, 53539, 51178, 53539, 68871, 55454, 53556, 70943, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 53062, 50886, 53062, 61561, 53424, 50867, 53424, 50867, 51301, 54171, 52534, 51121, 51299, 51748, 51165, 53588, 50798, 55454, 53738, 53424, 50857, 53424, 50857, 60301, 79293, 50868, 55897, 54640, 52917, 53424, 50862, 53424, 50862, 50953, 68871, 55454, 53670, 53424, 50857, 53424, 50857, 60301, 74969, 50868, 55591, 55147, 54950, 50816, 53569, 53424, 50862, 53424, 50862, 51133, 70811, 55454, 53384, 53424, 50862, 53424, 50862, 60301, 79293, 50868, 55591, 55630, 53003, 52635, 50866, 52635, 50866, 50953, 70811, 55454, 53556, 53424, 50838, 53424, 76108, 50904, 79293, 50868, 55897, 55147, 55053, 50868, 75466, 50864, 51037, 60863, 51299, 52482, 51154, 51884, 50799, 53062, 50904, 53062, 50904, 50945, 51221, 51113, 52063, 50798, 55454, 53738, 53062, 50857, 53062, 50857, 59654, 50872, 55182, 55147, 59509, 51251, 51884, 50426, 53424, 50873, 53424, 50873, 51019, 51221, 51301, 51884, 51375, 51753, 50798, 55454, 53670, 52635, 50974, 52635, 51681, 50300, 50867, 51042, 70137, 63445, 54640, 54950, 50816, 53569, 52860, 51753, 52860, 51753, 67362, 51113, 52519, 51299, 52519, 51154, 52519, 50798, 55454, 53384, 50964, 50937, 50946, 50822, 59654, 50872, 55591, 55147, 52846, 53904, 51212, 53904, 51212, 52979, 51412, 52979, 51412, 50927, 69607, 55454, 53556, 51019, 50925, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 53326, 50886, 53326, 50886, 53346, 50886, 53346, 61561, 51299, 52720, 51154, 52720, 51113, 53201, 50799, 52860, 54829, 52860, 54829, 52979, 52168, 52979, 52168, 50945, 68871, 62128, 53405, 50946, 50822, 58079, 50872, 55897, 54640, 52917, 50964, 69607, 55454, 50891, 52088, 51212, 51855, 67772, 50946, 50822, 59654, 50872, 55591, 55147, 59516, 51813, 50813, 52077, 61360, 51882, 51312, 51855, 51056, 53357, 69607, 55454, 53384, 50946, 50822, 58079, 50872, 55591, 55630, 60145, 52979, 51242, 52979, 51242, 53062, 51194, 53062, 72326, 50964, 69607, 55454, 53556, 50946, 50904, 58079, 50872, 63445, 55147, 58958, 53346, 50837, 53346, 50837, 53539, 50971, 53539, 65540, 54343, 52140, 54343, 52140, 52860, 52431, 52860, 52431, 52354, 68871, 55454, 53738, 50946, 50822, 59654, 50872, 55182, 55147, 59509, 51855, 51101, 52561, 71266, 50964, 68871, 55454, 53670, 50946, 50867, 59654, 50872, 55897, 54640, 59516, 52077, 54606, 50872, 50825, 60978, 59398, 52908, 50867, 53357, 53303, 55454, 50891, 52561, 51267, 53725, 75115, 70043, 50946, 50822, 59654, 50872, 55591, 55147, 52846, 53424, 51178, 53424, 51178, 53539, 51337, 53539, 51337, 51019, 57564, 55454, 53556, 70943, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 52635, 50941, 52635, 50941, 53062, 50904, 53062, 60863, 51301, 51748, 51165, 51671, 51299, 51748, 50799, 52860, 50904, 52860, 50904, 53424, 50867, 53424, 50867, 50964, 68871, 55454, 53738, 52860, 50857, 52860, 50857, 53424, 50867, 53424, 50867, 60301, 79293, 50868, 55897, 54640, 52917, 52860, 50857, 52860, 50857, 53424, 50867, 53424, 50867, 50953, 70811, 55454, 53670, 52860, 50867, 52860, 50867, 53424, 50886, 53424, 50886, 60301, 74969, 50868, 55591, 55147, 54950, 50816, 53569, 52860, 50867, 52860, 50867, 53424, 50857, 53424, 50857, 51133, 69472, 55454, 53384, 52860, 50987, 52860, 50987, 53424, 50987, 53424, 50987, 60301, 79293, 50868, 55591, 55630, 53003, 53346, 51006, 53346, 51006, 52635, 50978, 52635, 50978, 50964, 68871, 55454, 53556, 53346, 50959, 53346, 50959, 53424, 50977, 53424, 50977, 50988, 50904, 79293, 50868, 55897, 55147, 55053, 50868, 50825, 73257, 69644, 50799, 52979, 50904, 52979, 50904, 53062, 50886, 53062, 50886, 50945, 51178, 51299, 52059, 51154, 51753, 51113, 51753, 50798, 55454, 53738, 52979, 50959, 52979, 50959, 53062, 51058, 53062, 51058, 50946, 50822, 59654, 50872, 55182, 55147, 52966, 53424, 50864, 53424, 50864, 51019, 51178, 51251, 52059, 51301, 51884, 51375, 51481, 50798, 55454, 53670, 52635, 50857, 52635, 50857, 51396, 50867, 51042, 70137, 63445, 54640, 54950, 50816, 53569, 52979, 51797, 52979, 51797, 52860, 51337, 52860, 51337, 50945, 51178, 51299, 52407, 51113, 52407, 51154, 52598, 50798, 55454, 53384, 50946, 50822, 59654, 50872, 55591, 55147, 52846, 53904, 51242, 53904, 51242, 52979, 51194, 52979, 51194, 50964, 68871, 55454, 53556, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 53326, 50829, 53326, 50829, 53346, 50867, 53346, 60870, 51299, 52720, 51154, 52720, 50799, 52860, 51314, 52860, 51314, 52979, 52015, 52979, 52015, 50945, 51178, 51113, 52720, 50798, 55454, 53738, 50946, 50822, 58079, 50872, 55897, 54640, 60931, 52088, 51177, 51855, 63559, 50964, 69607, 55454, 53670, 50946, 50822, 59654, 50872, 55591, 55147, 59516, 51813, 50867, 52077, 60633, 51855, 51003, 51882 ]
[ 0, 250, 20902, 8, 15352, 30054, 3495, 8, 5175, 24904, 6, 42, 765, 2214, 16, 278, 11, 230, 3694, 8, 3136, 23, 10, 182, 1769, 20889, 4, 20, 6168, 3540, 8, 3298, 30131, 483, 5, 33301, 6, 2800, 30, 3459, 9590, 6, 13305, 6, 8, 3459, 8669, 4, 85, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50643, 50796, 58402, 51639, 50802, 51099, 51274, 51308, 51274, 51133, 51520, 51331, 52244, 51275, 50802, 51133, 52010, 51510, 51973, 51639, 50802, 51133, 51520, 51331, 52119, 51275, 50824, 51144, 51685, 51308, 51685, 51186, 55886, 62922, 68309, 51331, 52284, 51153, 50824, 51186, 52010, 51618, 52116, 51186, 51520, 51331, 52163, 51308, 50802, 51186, 52010, 51621, 50803, 69296, 50802, 51561, 51274, 51512, 51274, 51325, 51520, 51331, 52244, 51308, 50802, 51325, 52010, 51510, 51973, 78368, 51325, 51520, 51331, 52119, 51308, 50824, 51198, 51685, 51099, 51685, 50953, 55886, 62922, 68309, 51331, 52284, 51099, 62455, 52010, 51618, 52116, 50953, 51520, 51331, 52163, 51308, 60011, 52010, 51621, 50803, 69296, 50802, 51144, 51469, 51099, 51469, 51133, 51520, 51331, 52244, 78368, 51133, 52010, 51510, 51973, 51153, 51029, 51133, 51520, 51331, 52119, 51133, 55886, 62922, 68309, 51331, 52284, 51144, 50802, 51133, 52010, 51618, 52116, 51099, 50802, 51133, 51520, 51331, 52163, 78368, 51133, 52010, 65100, 51685, 51099, 51685, 51153, 51407, 51133, 51520, 79154, 52244, 51133, 51052, 51973, 51133, 51520, 51331, 52119, 51133, 55886, 62922, 68309, 70055, 51572, 52284, 51232, 51274, 51099, 51274, 51153, 51029, 51133, 51779, 51331, 67501, 52116, 51133, 51520, 70055, 53061, 51331, 52163, 51133, 61901, 52198, 50802, 66301, 51160, 51153, 51160, 51435, 51160, 50964, 51520, 51331, 54024, 50852, 77797, 57951, 51436, 51156, 52801, 51099, 51160, 51153, 51160, 51435, 51160, 57946, 51973, 57951, 51436, 51156, 52119, 51099, 51685, 51153, 51685, 51435, 51685, 65960, 50860, 57951, 51265, 50811, 50760, 50307, 53236, 51331, 62922, 52057, 65960, 50976, 57951, 51436, 50811, 50760, 50307, 54589, 53609, 51265, 52940, 50964, 52010, 50446, 56496, 50976, 50760, 50309, 72992, 51436, 51156, 52116, 50964, 51779, 51331, 58268, 54650, 50976, 50760, 50311, 58954, 50964, 52010, 51621, 50803, 50799, 53602, 51029, 57951, 50760, 50314, 55115, 52244, 51099, 51160, 51153, 51160, 51435, 51160, 57951, 51436, 51670, 51331, 66245, 51973, 57951, 51436, 51156, 53300, 51099, 51160, 51153, 51160, 51435, 62233, 52030, 53602, 51072, 57951, 51265, 50811, 50760, 50314, 60396, 62922, 52057, 51099, 51196, 51153, 51196, 51435, 51196, 57951, 51436, 51670, 51331, 53609, 51265, 52940, 52795, 51072, 57951, 76137, 60396, 52911, 51436, 51156, 52116, 50964, 51779, 51331, 52163, 54650, 50860, 57951, 50760, 50311, 52715, 63295, 50803, 50799, 54650, 51029, 60264, 50760, 50311, 57520, 51331, 52244, 51119, 51274, 51275, 51552, 51516, 51552, 60264, 51223, 51156, 52801, 57946, 51973, 60264, 51223, 51156, 52119, 54019, 50811, 60264, 51195, 50811, 74774, 51670, 51331, 52674, 54650, 50811, 50760, 50311, 51156, 52057, 51119, 51196, 51275, 51527, 51435, 51527, 56496, 54217, 60264, 51265, 50811, 50760, 50309, 54217, 50791, 52284, 60264, 51368, 51156, 52911, 51265, 51156, 52116, 50927, 51779, 51331, 52163, 50927, 52010, 51621, 50803, 66301, 51160, 51153, 51460, 51489, 51460, 50927, 52010, 50420, 60264, 51223, 51670, 51331, 52801, 51119, 51226, 51275, 51573, 51435, 67116, 51973, 60264, 51223, 51156, 53300, 50798, 52030, 60264, 51195, 51156, 62922, 52057, 51119, 50821, 51275, 50821, 51435, 50821, 60264, 51265, 51670, 51331, 53609, 63439, 61565, 51435, 51918, 60264, 51368, 51156, 52911, 51119, 50806, 51275, 50806, 51435, 64518, 51156, 52116, 50927, 51779, 51331, 53532, 51119, 50806, 51275, 50806, 51435, 50806, 51368, 52884, 50927, 52010, 50459, 51119, 50821, 51275, 50821, 51435, 50821, 51265, 51156, 50803, 50799, 51435, 50806, 51099, 51274, 51153, 51274, 50964, 51520, 51331, 52244, 75916, 57951, 51436, 51156, 52801, 57946, 51973, 51308, 50806, 57951, 51436, 51156, 52119, 51099, 51685, 51153, 51685, 51435, 51685, 65960, 50860, 57951, 51265, 50811, 50760, 50307, 53236, 51331, 62922, 52057, 65960, 50976, 57951, 51436, 50811, 50760, 50307, 54589, 53609, 51265, 52940, 50964, 52010, 50446, 56496, 50976, 50760, 50309, 72992, 51436, 51156, 52116, 50964, 51779, 51331, 58268, 54650, 50976, 50760, 50311, 58954, 50964, 52010, 51621, 50803, 66301, 50806, 51153, 50806, 53602, 51029, 57951, 50760, 50314, 55115, 52244, 51099, 51160, 51153, 51160, 51435, 51160, 57951, 51436, 51670, 51331, 66245, 51973, 57951, 51436, 51156, 53300, 51099, 51160, 51153, 51160, 51435, 62233, 52030, 53602, 51072, 57951, 51265, 50811, 50760, 50314, 60396, 62922, 52057, 51099, 51196, 51153, 51196, 51435, 51196, 57951, 51436, 51670, 51331, 53609, 51265, 52940, 52795, 51072, 57951, 76137, 60396, 52911, 51436, 51156, 52116, 50964, 51779, 51331, 52163, 52494, 50811, 57951, 68613, 51156, 52937, 53602, 50811, 50760, 50314, 51156, 50803, 50799, 51512, 51274, 51153, 51274, 51435, 51274, 52494, 51795, 51325, 64826, 50318, 51795, 57946, 52244, 51325, 70784, 51156, 52801, 57946, 51973, 51325, 70784, 51156, 52119, 51512, 51196, 51153, 51196, 51435, 51196, 72381, 51223, 51670, 51331, 62922, 52057, 51325, 70784, 51156, 52284, 51325, 52010, 50447, 51195, 51156, 52116, 51325, 51779, 51331, 52163, 51512, 51274, 51153, 51274, 51639, 51274, 52795, 51009, 72381, 51223, 50811, 76137, 57838, 52937, 51195, 51156, 50803, 55563, 52010, 50420, 72381, 51223, 51670, 51331, 66245, 51973, 51512, 51274, 51153, 51274, 51639, 51274, 72381, 51223, 51156, 53300, 50798, 52030, 52795, 51072, 72381, 51436, 50811, 76137, 60396, 62922, 52057, 72381, 51223, 51670, 51331, 52284, 51308, 51090, 51275, 51090, 51435, 51090, 52494, 51072, 72381, 51436, 50811, 68613, 60396, 52911, 51223, 51156, 52116, 51325, 51779, 51331, 53532, 51223, 52884, 51512, 50806, 51153, 50806, 51639, 50806, 53042, 50811, 72381, 51436, 50811, 63745, 51156, 52937, 52307, 61611, 50811, 70679, 51156, 50803, 69378, 51685, 51099, 51469, 51308, 51469, 52203, 51407, 62645, 51223, 50811, 64038, 51407, 57946, 52244, 51105, 52010, 50423, 57946, 51973, 62645, 51436, 51156, 52119, 51105, 51520, 51331, 62922, 52057, 62645, 51436, 51156, 52284, 51099, 50911, 52494, 51072, 62645, 51436, 50811, 68613, 51072, 57946, 52911, 51368, 51156, 52116, 51308, 50911, 51105, 51779, 51331, 53532, 51368, 52884, 51275, 50911, 52307, 51072, 62645, 70679, 60396, 63295, 50803, 62673, 51552, 51119, 51552, 51153, 51552, 50927, 51520, 51331, 52244, 52795, 51072, 60264, 76137, 60396, 52801, 57946, 51973, 60264, 51265, 51156, 52119, 75118, 79092, 51153, 51016, 53602, 51072, 60264, 50760, 50314, 51072, 57946, 62922, 52057, 60264, 51265, 51156, 52284, 51144, 51141, 51119, 51141, 51119, 51343, 52795, 51072, 60264, 51265, 50811, 76137, 51072, 57946, 52911, 51425, 51156, 52116, 50927, 51779, 51331, 53532, 51425, 52884, 53602, 51407, 60264, 50760, 50314, 64811, 63295, 50803, 66301, 51527, 51308, 51527, 51275, 51527, 50953, 51520, 51331, 52244, 50953, 52010, 50423, 57946, 51973, 62313, 51368, 51156, 52119, 50953, 51520, 51331, 62922, 52057, 51099, 51160, 51308, 51160, 51275, 51160, 54650, 50975, 62313, 51265, 50811, 50760, 50311, 55188, 52284, 50953, 51520, 51331, 52911, 51308, 51160, 51275, 51160, 51435, 51160, 53602, 50975, 51436, 50811, 50760, 50314, 55188, 52116, 50953, 51779, 51331, 52163, 51561, 56073, 51512, 56073, 51153, 56073, 52795, 51184, 51325, 50993, 51223, 50811, 76137, 51184, 57946, 63295, 50803, 53028, 52244, 72381, 51223, 51670, 51331, 66245, 51973, 72381, 51436 ]
[ 0, 250, 20902, 3495, 2214, 4246, 10, 20535, 2810, 9, 32909, 6, 326, 5638, 18026, 6, 1515, 21305, 6, 8, 17465, 102, 6, 7513, 30, 10, 13305, 4, 8504, 11, 211, 538, 19, 10, 155, 73, 398, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 32076, 8, 20425, 5466, 4, 20, 33215, 16739, 9, 83, 406, 6, 211, 6, 83, 6, 211, 6, 8, 272, 401, 3639, 7, 63, 15352, 30054, 2868, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50625, 52076, 52323, 50973, 51003, 50427, 50973, 64632, 50876, 50845, 55331, 51452, 50424, 65113, 70265, 61335, 50861, 53450, 51026, 51172, 51086, 51172, 50899, 51172, 50861, 51363, 50435, 65113, 70265, 61335, 50861, 52691, 51026, 52019, 50303, 70276, 61087, 56306, 50951, 65295, 51114, 51203, 50459, 64075, 57289, 51452, 50424, 60906, 61022, 58219, 50877, 53450, 50900, 51172, 50916, 51172, 50861, 51172, 79725, 50435, 60906, 61022, 58219, 50877, 52691, 50900, 76371, 61087, 66920, 56306, 50951, 65295, 51114, 51203, 50459, 68319, 55331, 51452, 50424, 61335, 67668, 57472, 60215, 53337, 51172, 50989, 51172, 69541, 50876, 51363, 50435, 61335, 67668, 57472, 50876, 52691, 50899, 77245, 66920, 63348, 56306, 50968, 51101, 63932, 51203, 50459, 60215, 57844, 51047, 50423, 65113, 70265, 61335, 50861, 53450, 51026, 51484, 51086, 51484, 75099, 50861, 51480, 50436, 65113, 70265, 61335, 50861, 52691, 51026, 51260, 50303, 58754, 55332, 55103, 51487, 55125, 51787, 75997, 51487, 50800, 59733, 51977, 50424, 51027, 65860, 69303, 52710, 51027, 51255, 50899, 51255, 50989, 51116, 50435, 51027, 65860, 69303, 52841, 51027, 62649, 65593, 53218, 51487, 60866, 51787, 75997, 51487, 50808, 66302, 51977, 50424, 51026, 50854, 51086, 65860, 69538, 52450, 51026, 51255, 51086, 51255, 50899, 51255, 70135, 50435, 51026, 50854, 51086, 65860, 69538, 52841, 51026, 51734, 50303, 62649, 58532, 53218, 51487, 60866, 51787, 75997, 51487, 50808, 53975, 61027, 57094, 58800, 72386, 68282, 51430, 64002, 51405, 70900, 51430, 53402, 50623, 50899, 79322, 58887, 68800, 72438, 51062, 63707, 68465, 51220, 51221, 50902, 51412, 50459, 61524, 50999, 50854, 57448, 50973, 51803, 50951, 51675, 50423, 65113, 70265, 61335, 50861, 53450, 51026, 51484, 51086, 51484, 75099, 50861, 51480, 50436, 65113, 70265, 61335, 50861, 52691, 50619, 51026, 51260, 50303, 58754, 55332, 55103, 50625, 56213, 55260, 56213, 51215, 50459, 53250, 50859, 77632, 51977, 50424, 51026, 50822, 60501, 57660, 50973, 53906, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 59055, 75591, 56157, 53863, 55149, 55602, 51215, 50459, 53863, 50859, 79922, 51977, 50424, 51085, 50822, 63077, 57660, 62804, 50876, 53049, 51085, 51412, 50916, 51363, 50861, 51363, 79725, 77115, 50435, 51085, 50822, 63077, 57660, 62804, 50876, 54181, 51085, 72272, 58532, 60015, 59937, 60510, 53863, 55149, 55602, 51215, 50459, 53771, 50859, 77632, 51977, 50424, 51120, 73353, 69303, 50854, 62804, 50876, 52654, 51120, 51412, 50899, 51363, 50989, 51363, 79725, 77115, 50435, 51120, 50822, 60501, 50989, 79243, 50876, 54181, 51120, 67119, 67182, 60268, 59937, 56157, 53771, 55149, 53077, 51215, 50459, 53250, 50859, 50799, 56213, 51356, 50424, 51026, 50822, 60501, 57660, 50973, 53049, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 59055, 75591, 58141, 56213, 55149, 56213, 51215, 50459, 53250, 50859, 77632, 51977, 50424, 51026, 50822, 60501, 57660, 50973, 53906, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 59055, 75591, 56157, 53863, 55149, 55602, 51215, 50459, 53863, 50859, 50799, 54812, 51977, 50424, 51085, 50822, 63077, 57660, 50877, 53049, 51085, 51412, 50916, 51363, 50861, 51363, 50877, 51255, 50435, 51085, 50822, 63077, 57660, 50877, 54181, 51085, 72272, 59055, 60268, 50914, 50442, 54812, 70894, 56213, 51757, 53250, 80049, 53077, 57459, 53771, 50952, 77632, 51977, 50424, 51120, 50822, 60501, 50989, 79243, 50876, 53049, 51120, 51412, 50899, 51363, 50989, 51363, 79725, 77115, 50435, 51120, 50822, 60501, 50989, 79243, 50876, 54181, 51120, 67119, 67182, 60268, 59937, 50914, 50442, 53771, 57295, 53077, 58710, 54812, 80049, 50619, 53250, 57459, 56213, 50952, 57448, 55062, 51356, 50424, 51026, 50822, 60501, 57660, 50973, 53049, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 58532, 75591, 60510, 56213, 55149, 53771, 51215, 50459, 55602, 50859, 77275, 51977, 51315, 64233, 57094, 61622, 55035, 51315, 62430, 57864, 64449, 53264, 51324, 62035, 64813, 58800, 62879, 55945, 53863, 53794, 55602, 51215, 51324, 62035, 66199, 57254, 64449, 59097, 56213, 50859, 79922, 51977, 51315, 64233, 57094, 62879, 55035, 51315, 62430, 58399, 68219, 55306, 51315, 62430, 58399, 68219, 55322, 55602, 55149, 54985, 50952, 51315, 62430, 58399, 68219, 50873, 50454, 53863, 57459, 53771, 50952, 77632, 51977, 51378, 60318, 57069, 59374, 53466, 51378, 62035, 59389, 60756, 54233, 51120, 62035, 71274, 59389, 58007, 53969, 53077, 53794, 53771, 50952, 51120, 62035, 71274, 59389, 58007, 50873, 50454, 53077, 57459, 53250, 50952, 50799, 56213, 51356, 51026, 60318, 57348, 61622, 53466, 51026, 62035, 58399, 68219, 55306, 51026, 60318, 58399, 68219, 62617, 54812, 54721, 56213, 51215, 51026, 62035, 58399, 68219, 63007, 55343, 50859, 77632, 51977, 51378, 60318, 57069, 59374, 53466, 51378, 62035, 59389, 60756, 54233, 51315, 58127, 59389, 66289, 53969, 55343, 55149, 53077, 51215, 51315, 58127, 59389, 66289, 63007, 53771, 50859, 50799, 55602, 51977, 51120, 71274, 57069, 59374, 53466, 51120, 72169, 59389, 60756, 54233, 51026, 58399, 68219, 65064, 53969, 53771, 55149, 55602, 64325, 58127, 68219, 65064, 55345, 53863, 50879, 77632, 51977, 51027, 71274, 57069, 59374, 53466, 51027, 72169, 59389, 60756, 54233, 51279, 58127, 59389, 66289, 53969, 55343, 55149, 50619, 55602, 51238, 51279, 58127, 59389, 66289, 63007, 50625, 53771, 50859, 50799, 50619, 53077, 73988, 51734, 50294, 51148, 50989, 51148, 50877, 68537, 53250, 55695, 56509, 50625, 50444, 56213, 55260, 56213, 51175, 50459, 53250, 50858, 77632, 51685, 50424, 52135, 50822, 51979, 50822, 55291, 50822, 51026, 50822, 60501, 57660, 50973, 53906, 52135, 51337, 51979, 51337, 55291, 51337, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 52135, 50822, 51979, 50822, 55291, 50822, 51026, 50822, 60501, 57660, 50973, 54181, 52135, 50981, 51979, 50981, 55291, 69836, 61849, 59055, 75591, 56157, 53863, 55260, 55602, 51175, 50459, 53863, 50858, 79922, 51685, 50424, 51643, 50822, 51979, 50822, 55291, 50822, 51085, 50822, 63077, 57660, 62804, 50876, 53049, 51643, 51337, 51979, 51337, 55291, 51337, 51085, 51412, 50916, 51363, 50861, 51363, 79725, 77115, 50435, 51643, 50822, 51979, 50822, 55291, 50822, 51085, 50822, 63077, 57660, 62804, 50876, 54181, 51643, 50981, 51979, 50981, 55291, 51741, 50292, 72272, 58532, 60015, 59937, 60510, 53863, 55260, 55602, 51175, 50459, 53771, 50858, 77632, 51685, 50424, 51643, 50822, 52891, 50822, 56167, 50822, 51120, 73353, 69303, 50854, 62804, 50876, 52654, 51643, 51337, 52891, 51337, 56167, 51337, 51120, 51412, 50899, 51363, 50989, 51363, 79725, 77115, 50435, 51643, 50822, 52891, 50822, 56167, 50822, 51120, 50822, 60501, 50989, 79243, 50876, 54181, 51643, 51363, 52891, 51363, 56167, 51363, 51120, 67119, 67182, 60268, 59937, 50914, 50442, 55343, 70089, 53077, 75250, 51643, 50822, 52891, 50822, 56167, 53140, 53771, 50940, 50454, 53077, 71208, 53250, 50940, 50799, 56213, 51196, 50424, 51652, 50822, 52228, 50822, 55291, 50822, 51026, 50822, 60501, 57660, 50973 ]
[ 0, 713, 8787, 15855, 15229, 6, 19, 4785, 9, 3495, 6, 16, 10, 2635, 8, 15352, 30054, 2125, 14, 7630, 6568, 10, 1472, 9, 11098, 8, 26545, 4, 85, 1575, 10, 5544, 10320, 1258, 217, 36075, 8669, 6, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 5730, 2342, 4467, 6, 70, 8216, 7, 63, 4066, 2369, 18795, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 272, 6, 1918, 6, 230, 6, 8, 272, 6, 2351, 10, 32625, 8, 2950, 5466, 14, 115, 2773, 465, 63, 317, 11, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 57342, 54994, 50872, 51631, 50850, 51736, 51007, 51646, 51149, 57679, 56027, 50850, 51798, 50872, 51923, 59792, 50799, 51257, 54180, 54994, 50850, 51631, 50872, 51736, 51257, 51646, 50935, 59687, 56027, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 56100, 50872, 51631, 50848, 51736, 50872, 53218, 50850, 51798, 50872, 51923, 52982, 61281, 54180, 50795, 67349, 52115, 52982, 51171, 50918, 61167, 51631, 50848, 50918, 61167, 56027, 51171, 69451, 50946, 52555, 51037, 51923, 50946, 50795, 58282, 50918, 61167, 50918, 57894, 51036, 55496, 51036, 55775, 56100, 50872, 51631, 50850, 51736, 51007, 51646, 51149, 57679, 50918, 50725, 50305, 56027, 50850, 51798, 50872, 51923, 59792, 50799, 51257, 54180, 50918, 67349, 50918, 57894, 50918, 55093, 51036, 55496, 56100, 50850, 51631, 50872, 51736, 51257, 51646, 50935, 59687, 50918, 50725, 50303, 56027, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 51036, 73407, 51036, 62582, 51036, 55093, 51036, 55496, 56100, 50872, 51631, 50848, 51736, 50872, 53218, 50850, 51798, 50872, 51923, 52982, 61281, 54180, 50795, 61167, 50795, 56048, 50795, 56547, 50795, 55693, 52115, 51171, 54314, 61167, 50795, 55093, 50795, 55496, 50795, 55775, 51631, 51171, 50918, 50848, 50918, 61167, 50918, 55093, 50918, 55496, 50918, 55775, 56811, 51171, 51923, 51217, 50795, 59008, 50918, 62582, 50918, 56048, 50918, 55496, 50918, 55775, 54994, 50946, 51631, 50885, 51736, 50850, 51646, 50935, 55963, 50918, 56783, 50918, 55093, 50918, 55693, 50918, 62611, 56027, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 50918, 61453, 50918, 55496, 50807, 57822, 50807, 56326, 53561, 50872, 51631, 52982, 55093, 50795, 55693, 50795, 56126, 51736, 72073, 57822, 51646, 50868, 50800, 51171, 50807, 57894, 50807, 55093, 50807, 55496, 50807, 55775, 58627, 50872, 51820, 50848, 51798, 51171, 51923, 51217, 50795, 69335, 50795, 56048, 50795, 55693, 50795, 56126, 50795, 61464, 59746, 50918, 62582, 50918, 56048, 50918, 55775, 50918, 56126, 54994, 50885, 51631, 50946, 51736, 50872, 51646, 56696, 51332, 50918, 69335, 50918, 56048, 50918, 55693, 50918, 56126, 56027, 50868, 51798, 50885, 51923, 56696, 57342, 72662, 58796, 50795, 56783, 50795, 56547, 50795, 55693, 50795, 56126, 55728, 50848, 54190, 60877, 51835, 74378, 50795, 56783, 50795, 55093, 50795, 62611, 50795, 56326, 51631, 50988, 50918, 50848, 50918, 50847, 50918, 50935, 50918, 56783, 50918, 55093, 50918, 62611, 50918, 56326, 56811, 51171, 51923, 51217, 50795, 59008, 50918, 62582, 50807, 56048, 50807, 55496, 50807, 55775, 53561, 50946, 51631, 50885, 50795, 62582, 50795, 55496, 50795, 55775, 50795, 56326, 51736, 50872, 50795, 62582, 50795, 56547, 50795, 55775, 50795, 56126, 51646, 50935, 55963, 50918, 56783, 50795, 56547, 50795, 55693, 50795, 56126, 51918, 53449, 56783, 50795, 55093, 50795, 55693, 50795, 62611, 51798, 52982, 56783, 50807, 56048, 50795, 55496, 50795, 55775, 51923, 50935, 50795, 61356, 50795, 55093, 50795, 55693, 50795, 63516, 56592, 50918, 61453, 50807, 55496, 50807, 57822, 50807, 56326, 53561, 50872, 51631, 52982, 61453, 50795, 55693, 50795, 57822, 50795, 61557, 51736, 72073, 56048, 50795, 55693, 50795, 56126, 50795, 60060, 51646, 50868, 50800, 51171, 50807, 55093, 50807, 55775, 50807, 56326, 50807, 61557, 58627, 50872, 51820, 50848, 51798, 51171, 51923, 51217, 50795, 60588, 50795, 59008, 50918, 62582, 50918, 55496, 50918, 56126, 50918, 66105, 54994, 50946, 51631, 50885, 51736, 50872, 51646, 50988, 50918, 56783, 50918, 55093, 50918, 62611, 50918, 60588, 56027, 50848, 51798, 50847, 51923, 50935, 50795, 62870, 54314, 50872, 54716, 57894, 50795, 55496, 50795, 55775, 50795, 56126, 52115, 51037, 54314, 50872, 54716, 61453, 50795, 55496, 50795, 57822, 50795, 56326, 51631, 51037, 50918, 50848, 50918, 50872, 71365, 50918, 61453, 50918, 55496, 50918, 57822, 50918, 56326, 56811, 53200, 52325, 53719, 50802, 57342, 50918, 61167, 50918, 52756, 54226, 50872, 51631, 72073, 53719, 52030, 51007, 50795, 53200, 52674, 53719, 60920, 51149, 57679, 50918, 50725, 50305, 56027, 50850, 51798, 50872, 72623, 53200, 54178, 59792, 50458, 53719, 50823, 50799, 51257, 54180, 50918, 67349, 50918, 52756, 52410, 72073, 52817, 54107, 50872, 51736, 68395, 52756, 52125, 50935, 59687, 50918, 50725, 50303, 50807, 53719, 52313, 53449, 53200, 52175, 52982, 52756, 52325, 50935, 50795, 52817, 50802, 63516, 56592, 51036, 73407, 51036, 53036, 54226, 50872, 51631, 52982, 52817, 52030, 50872, 50807, 52756, 52125, 53719, 52313, 72073, 53200, 63399, 50872, 51923, 52982, 50459, 53664, 50803, 61281, 75602, 50795, 67349, 50795, 53664, 52410, 51171, 54314, 50872, 50795, 61167, 50795, 53200, 63398, 51171, 50918, 50848, 50918, 50872, 50918, 61167, 56811, 53200, 52325, 53719, 50802, 57342, 50918, 61167, 50918, 57894, 51036, 55496, 51036, 55775, 51036, 52756, 54226, 50872, 51631, 72073, 53719, 52030, 51007, 50795, 53200, 52674, 53719, 60920, 51149, 57679, 50918, 50725, 50305, 56027, 50850, 51798, 50872, 72623, 53719, 54178, 59792, 50458, 53719, 50823, 50799, 51257, 54180, 50918, 67349, 50918, 57894, 50918, 55093, 51036, 55496, 51036, 52756, 54226, 50850, 51631, 50872, 50795, 52817, 52030, 68395, 52756, 52125, 50935, 59687, 50918, 50725, 50303, 50807, 56783, 50918, 53719, 53609, 53200, 53681, 50847, 51798, 52982, 50454, 52756, 54178, 50935, 59831, 52817, 50823, 63516, 56592, 51036, 73407, 51036, 62582, 51036, 55093, 51036, 55496, 51036, 53036, 54226, 50872, 51631, 52982, 52817, 52030, 50872, 50807, 52756, 52125, 53719, 53681, 50850, 51798, 50872, 50795, 53200, 52325, 52982, 53664, 50802, 61281, 75602, 50795, 67349, 50795, 56048, 50795, 56547, 50795, 55693, 50795, 53664, 52410, 51171, 54314, 50872, 50795, 61167, 50795, 55093, 50795, 55496, 50795, 55775, 50795, 53200, 51795, 50426, 51171, 50918, 50848, 50918, 50872, 50918, 61167, 50918, 55093, 50918, 55496, 50918, 55775, 56811, 51171, 51923, 51217, 50795, 59008, 50918, 62582, 54994, 50946, 51631, 50885, 50795, 52756, 52030, 72073, 53036, 52125, 50935, 55963, 50918, 56783, 50918, 52817, 57310, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 50918, 56783, 50807, 52817, 64146, 50872, 51631, 52982, 56783, 52765, 62582, 50800, 52756, 52119, 72073, 69335, 50795, 53719, 52125, 50868, 50800, 51171, 50807, 62582, 50807, 52756, 56119, 50872, 51820, 52982, 53200, 52175, 51171, 50795, 53200, 52325, 51217, 50795, 56783, 50795, 53719, 50802, 61464, 59746, 50918, 57894, 50918, 52756, 52410, 50885, 50795, 52817, 52038, 50946, 50795, 52817, 52030, 50872, 50795, 52817, 52125, 56696, 51332, 50918, 56783, 50918, 52817, 52313, 50868, 50795, 52756, 52175, 50885, 50795, 53719, 52325, 56696, 53200, 50802, 57342, 72662, 58796, 50795, 67349, 50795, 53664, 56778, 50848, 54190, 60877, 51835, 74378, 50795, 61167, 50795, 53200, 63398, 50988, 50918, 50848, 50918, 50847, 50918, 50935, 50918, 61167, 56811, 51171, 50795, 53200, 52325, 51217, 50795, 53719, 50802, 59008, 50918, 62582, 50918, 56048, 50807, 52756, 54226, 50946, 51631, 50885, 50795, 55496, 50795, 53719, 52030, 50872, 50795, 56547, 50795, 53200, 52674, 53719, 52057, 50935, 55963, 50918, 56783, 50918, 56547, 50795, 53200, 63189, 53449, 55093, 51798, 52982, 56048, 72623, 53200, 54178, 50935, 50795, 61356, 59831, 53719, 50823, 63516, 56592 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 3744, 9382, 15, 13305, 11, 10, 7212, 155, 73, 306, 20889, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 24, 1575, 10, 33215, 13931, 9, 12608, 6, 2060, 6, 12608, 6, 8, 163, 428, 406, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 442, 24, 10686, 13, 10, 1144, 26016, 822, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 80054, 50443, 51001, 51380, 75795, 51709, 51034, 51503, 51203, 69980, 53130, 50316, 57499, 51001, 51542, 50876, 51679, 50900, 73143, 51197, 51253, 50444, 51001, 60250, 51199, 51034, 51503, 54177, 50965, 67220, 50959, 53523, 51419, 51001, 51534, 50427, 71477, 50438, 60215, 62094, 51197, 51534, 50444, 50965, 50933, 70688, 51034, 51001, 51318, 50876, 51477, 51503, 54644, 50956, 51210, 53523, 51419, 50956, 51254, 59409, 61257, 55666, 50965, 51484, 50876, 51480, 51197, 51480, 61614, 51051, 78031, 51484, 51001, 51480, 51503, 51058, 58097, 50984, 53523, 72831, 55100, 50956, 54584, 50965, 51524, 60215, 51197, 51534, 61614, 50907, 50876, 51524, 75107, 51034, 51503, 59316, 51365, 50876, 51365, 51147, 51412, 69980, 53536, 50316, 65933, 50951, 51391, 50956, 57648, 50965, 53096, 50876, 52460, 50438, 51197, 51481, 50444, 66771, 51034, 51503, 71227, 51221, 55902, 57800, 50317, 57070, 56759, 66985, 51043, 50431, 50861, 65252, 51028, 52731, 57267, 51753, 50906, 51233, 51197, 51775, 50444, 50965, 51884, 72917, 51034, 51503, 51962, 50317, 63211, 51645, 58097, 55752, 50997, 51542, 50861, 51852, 50906, 51233, 64551, 71113, 51197, 51534, 50861, 65273, 74458, 50965, 51753, 50956, 53536, 50316, 51101, 51034, 59362, 50906, 52454, 50317, 51807, 50288, 50978, 58097, 65721, 52688, 50997, 55665, 50956, 55505, 50311, 51376, 63808, 51242, 51197, 51484, 57428, 51365, 51028, 50905, 51034, 51503, 57945, 54644, 51028, 52101, 63207, 50931, 51121, 56040, 75514, 51400, 58319, 52179, 51028, 52462, 50438, 51197, 51277, 50951, 51377, 58365, 50912, 51028, 52462, 51034, 51503, 51008, 51147, 65516, 50965, 52179, 76232, 56040, 51576, 50900, 60539, 50965, 51365, 50876, 53269, 51176, 73793, 54746, 50900, 68804, 71328, 63903, 50942, 50449, 51360, 50825, 51176, 50867, 51034, 50965, 51022, 51028, 52462, 50415, 51147, 51417, 50871, 55394, 51028, 50984, 51040, 51142, 63006, 53645, 51210, 50965, 67673, 51040, 51142, 59362, 50965, 51832, 50438, 67364, 50931, 51101, 51360, 51534, 50444, 51028, 51121, 51040, 64470, 70941, 51503, 50825, 66041, 51034, 50965, 51022, 51001, 51397, 76945, 55394, 51176, 50912, 50965, 51269, 50900, 53220, 74094, 50956, 54150, 51176, 51051, 57846, 50965, 61389, 51197, 62697, 50849, 50443, 50965, 51645, 55513, 77964, 51210, 51034, 51503, 51775, 51028, 51003, 58097, 52167, 50861, 51862, 56759, 51419, 51001, 57173, 50871, 52179, 51028, 75594, 50931, 51400, 51197, 78369, 50906, 51022, 50861, 51269, 50447, 70688, 51034, 51503, 51423, 51001, 51562, 69980, 52179, 50876, 51862, 56040, 51412, 76567, 51269, 50876, 75594, 51176, 53130, 50312, 63280, 77460, 50900, 74265, 67572, 63155, 51360, 50835, 51176, 50867, 51034, 50965, 52101, 51028, 51269, 51147, 51417, 65882, 54448, 51028, 51862, 51040, 51051, 63006, 53645, 51142, 50965, 67673, 50965, 51022, 51040, 51210, 50871, 64147, 50965, 50933, 50931, 51458, 50293, 72379, 56963, 51040, 51764, 50317, 51177, 50448, 51503, 58914, 51197, 50864, 51034, 50965, 51365, 50415, 51001, 51397, 50900, 55394, 51176, 51051, 73630, 50965, 52179, 53523, 51051, 50956, 67673, 50965, 51269, 51176, 51210, 50900, 56180, 51197, 51484, 50876, 53999, 57846, 50956, 52179, 50965, 51212, 51034, 51503, 51337, 51028, 51101, 50906, 51862, 55902, 51022, 50956, 51269, 50421, 51001, 54252, 51028, 53906, 50625, 50876, 66751, 51252, 50956, 57648, 50871, 61929, 50625, 51197, 51309, 50906, 59055, 62622, 51040, 52179, 50956, 52179, 51034, 50624, 51503, 63085, 53577, 50956, 56374, 50965, 51391, 77718, 51176, 68112, 50619, 50444, 50624, 51001, 51775, 50876, 51852, 80054, 51503, 59288, 50965, 51142, 64304, 53523, 51645, 50876, 51961, 51001, 73143, 51197, 59388, 50876, 51852, 51001, 51172, 51034, 51503, 52731, 69980, 51142, 64304, 53523, 51797, 51001, 51309, 50876, 51797, 50438, 59855, 51147, 51210, 71593, 51197, 51753, 50444, 51147, 50912, 71593, 59855, 51034, 51503, 52386, 50331, 51241, 51176, 50851, 51001, 51204, 51062, 51351, 50421, 50900, 52518, 50427, 50956, 51466, 59409, 50910, 51062, 50942, 51147, 59577, 51197, 52056, 51147, 51177, 51062, 51221, 80033, 61614, 51166, 77575, 52598, 51405, 51221, 51001, 51124, 51062, 51255, 53502, 52518, 56040, 51824, 64551, 71552, 51197, 51797, 61496, 51147, 50874, 51062, 53103, 73568, 51405, 50822, 51001, 64442, 50912, 51034, 51503, 50863, 51176, 52081, 50336, 51514, 50324, 70553, 50987, 58097, 51126, 50421, 50900, 51000, 53523, 51123, 50956, 51123, 51062, 78819, 51807, 50335, 51056, 56014, 51123, 50956, 58604, 51197, 51753, 61614, 51862, 73955, 51062, 50959, 50445, 51339, 50942, 72316, 51954, 50329, 51455, 50288, 50863, 50931, 51588, 50333, 50977, 50421, 50997, 53010, 56040, 51123, 51001, 51514, 50331, 70452, 53961, 50956, 69406, 51197, 51642, 62419, 50439, 64413, 51081, 54207, 71152, 70178, 51147, 50874, 51062, 50942, 51034, 51503, 52081, 50295, 57392, 51028, 51178, 51081, 51363, 51399, 51043, 58097, 52460, 50861, 52482, 50427, 50951, 51775, 50906, 51221, 51081, 51203, 64551, 51123, 50861, 55666, 51197, 50912, 69429, 60299, 51081, 50925, 50443, 50956, 57138, 62504, 51147, 50874, 51062, 50897, 51034, 51503, 52081, 50295, 50971, 50415, 51081, 51411, 51399, 51377, 51028, 51255, 56363, 52063, 56040, 55238, 50956, 52192, 50438, 51197, 51753, 69429, 51028, 51051, 51081, 50942, 50443, 51040, 51862, 50444, 74247, 75337, 51399, 50854, 72316, 52386, 50288, 66955, 50942, 51399, 50955, 51487, 65739, 51399, 50844, 51339, 50854, 66771, 50997, 58309, 51001, 51221, 50951, 51412, 51405, 51221, 50956, 55238, 50956, 56006, 51197, 52104, 50329, 51233, 51487, 51194, 50951, 51177, 50443, 50956, 51126, 51034, 51503, 50863, 51197, 51954, 50324, 51377, 51062, 51411, 52128, 51025, 53502, 51166, 56040, 56693, 50956, 52958, 51147, 50942, 51503, 50837, 51176, 73477, 50925, 50876, 63959, 51147, 68340, 70934, 72794, 53529, 50310, 76606, 51360, 57989, 51176, 50941, 62286, 52128, 80083, 51689, 50329, 60953, 53420, 50871, 53536, 50317, 64078, 50931, 50912, 50965, 57959, 51040, 51123, 50871, 58604, 51360, 51142, 51147, 51609, 50333, 65615, 54247, 51040, 53529, 50321, 51604, 50329, 68840, 61495, 51503, 50837, 72316, 51954, 50324, 50834, 51405, 70632, 64580, 50900, 53070, 50965, 50912, 50900, 55070, 50956, 51123, 50876, 55286, 50956, 69406, 51197, 51852, 51001, 62090, 69649, 50876, 54207, 50956, 51022, 50965, 50854, 59855, 51147, 50833, 51034, 51503, 50870, 51197, 50863, 51028, 51203, 50951, 51363, 51399, 51255, 56363, 53161, 50956, 52482, 50861, 52482, 50426, 51001, 51121, 50951, 51337, 51405, 65135, 50997, 51524, 50956, 51862, 50861, 55666, 51197, 50912, 50931, 51514, 50329, 51242, 51339, 55322, 50997, 50907, 50956, 52462, 67136, 51034, 51503, 50863, 51197, 73747, 51191, 51062, 51419, 51405, 51351, 58097, 52518, 50900, 51466, 79351, 57123, 50956, 59656, 51503, 50863, 51176, 50863, 50965, 59390, 51962, 50324, 50925, 61614, 52666, 50310, 53529, 50312, 50833, 60215, 51147, 71303, 51360, 57989, 51176, 50941, 62286, 52128, 80083, 51689, 50329, 60953, 53070, 50871, 53536, 50317, 64078, 50931, 50912, 50965, 57959, 51040, 51123, 50871, 58604, 51360, 51142, 51147, 51609, 50333, 65615, 54247, 51040, 53529, 50321, 51604, 50329, 68840, 61495, 51503, 50837, 72316, 51954, 50324, 50834, 51405, 70632, 64580, 50900, 53070, 50965, 50912, 50900, 55070, 50956, 51123, 50876, 55286 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 20902, 11739, 9, 21072, 6, 13305, 6, 20535, 2810, 6, 6755, 12547, 6, 8, 1076, 560, 31365, 25999, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 12298, 1619, 4780, 8, 41, 11653, 2365, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53028, 50821, 51544, 50874, 51570, 50833, 52320, 50833, 50799, 78530, 50878, 50416, 50698, 50312, 50878, 50418, 50698, 50314, 58793, 78530, 63980, 50698, 50312, 50878, 50424, 50698, 50314, 52524, 78530, 61822, 50698, 50312, 68486, 50698, 50314, 52810, 78530, 56585, 50698, 50312, 50878, 50436, 50698, 50314, 52781, 78530, 50878, 50440, 50698, 50312, 66479, 50698, 50314, 53524, 78530, 62928, 50698, 50312, 50878, 50448, 50698, 50314, 52800, 78530, 61081, 50698, 50312, 58261, 50698, 50314, 53211, 78530, 50813, 50698, 50312, 61997, 50698, 50314, 50813, 50799, 52977, 54788, 55964, 57154, 79154, 50912, 51039, 53821, 50849, 51925, 50845, 53327, 50873, 58081, 54325, 55981, 54788, 55964, 56975, 74875, 50903, 50912, 70201, 56427, 50804, 50845, 52653, 50920, 50942, 50436, 52977, 50892, 52574, 51462, 50849, 51450, 55964, 53284, 76688, 50903, 55918, 50912, 51180, 53364, 50873, 51845, 50974, 52612, 51370, 53045, 54276, 52560, 54923, 55225, 57154, 66354, 51927, 51035, 54771, 50804, 50873, 56278, 50925, 50460, 51762, 50799, 52977, 54788, 55964, 57154, 50817, 51402, 66032, 53821, 50901, 51925, 61544, 51248, 50934, 60684, 53450, 55981, 54788, 51331, 65958, 51432, 50430, 52352, 51698, 58923, 50974, 51361, 59809, 60684, 66144, 52977, 50892, 52574, 51462, 50873, 51450, 55964, 53284, 76688, 50903, 59251, 54947, 50698, 50324, 51239, 53364, 50873, 51845, 75406, 50698, 50324, 54525, 50698, 50324, 52467, 51370, 53045, 52843, 50698, 50324, 50880, 52560, 53970, 55225, 57948, 66354, 51927, 51035, 56711, 50698, 50324, 51179, 55018, 72732, 68627, 50698, 50324, 58841, 50698, 50324, 50840, 51762, 50799, 52977, 50892, 50698, 50324, 52259, 55964, 52839, 50817, 51402, 53405, 50698, 50324, 51044, 53821, 50873, 51925, 74430, 50698, 50324, 54316, 50698, 50324, 54499, 50849, 58081, 68521, 50698, 50324, 52437, 55981, 54788, 55964, 59074, 74875, 50903, 50912, 70201, 55544, 50804, 50849, 52653, 50920, 50925, 50436, 52977, 50892, 52574, 51462, 50873, 51450, 55964, 53284, 50882, 55820, 50912, 51180, 53364, 50873, 51845, 50905, 52612, 51370, 53045, 54276, 52560, 53656, 55225, 53284, 66354, 51927, 51035, 56711, 50804, 50805, 56278, 50925, 50460, 51762, 50799, 52977, 54788, 55964, 52839, 50817, 51402, 66032, 53821, 50901, 51925, 69596, 51248, 50934, 60684, 52654, 55981, 54788, 51331, 65958, 71202, 52352, 51698, 54714, 50905, 51361, 59809, 56969, 66144, 52977, 50892, 52574, 51462, 50873, 51450, 55964, 57154, 50882, 55820, 50912, 51180, 53364, 50849, 51845, 50892, 52612, 51370, 53045, 54276, 52560, 56104, 55225, 54265, 66354, 51927, 51035, 50892, 50455, 51986, 54647, 52185, 59734, 50934, 60684, 50925, 50460, 51762, 50799, 51986, 51196, 51643, 51413, 52402, 51103, 52255, 51103, 51711, 51103, 53088, 51573, 52977, 51573, 51829, 51573, 56464, 50817, 51402, 53405, 50900, 64501, 62208, 51045, 51068, 50805, 52068, 50423, 51068, 51420, 50837, 51544, 74875, 53842, 56014, 64501, 62208, 51014, 53088, 50962, 52977, 61474, 52201, 50959, 63842, 53418, 52623, 50821, 52185, 51420, 50882, 55820, 54947, 50900, 64501, 70980, 50823, 53088, 50962, 52977, 61474, 50849, 51892, 50447, 51068, 50833, 51931, 52320, 50858, 56403, 55162, 50900, 64501, 74552, 51986, 50811, 51643, 57446, 50849, 51471, 50460, 51762, 50799, 51986, 50823, 52226, 50812, 51743, 51189, 52255, 51189, 52414, 51413, 51859, 51460, 52977, 51460, 53146, 63067, 50817, 51402, 53405, 51040, 51014, 50871, 74552, 51555, 50803, 51643, 57446, 50805, 52068, 50423, 51068, 51420, 52670, 51783, 50803, 51721, 51420, 74875, 53842, 56014, 64501, 74552, 52623, 50924, 51643, 50812, 53088, 50894, 52977, 61606, 52201, 50959, 63842, 53418, 52402, 50849, 52255, 50849, 51711, 52808, 50882, 55820, 54947, 50900, 64501, 74552, 53088, 50894, 52977, 61606, 50849, 51892, 50447, 51068, 50833, 51931, 52320, 50858, 56403, 55162, 50900, 69990, 70980, 50823, 51986, 50880, 51643, 50812, 53088, 50894, 52977, 61606, 50849, 51471, 50460, 51762, 50799, 51986, 50821, 52226, 50812, 51743, 51189, 52255, 51413, 52414, 51103, 51859, 51054, 52977, 51054, 53146, 56351, 50817, 51402, 53405, 51040, 51045, 50871, 62208, 50811, 51555, 50950, 51643, 57446, 50805, 52068, 50423, 51068, 51420, 52670, 51783, 50811, 51721, 51420, 74875, 53842, 56014, 64501, 74552, 51986, 50806, 51643, 51124, 51068, 52201, 50959, 63842, 53418, 52402, 50914, 52255, 50914, 51711, 55859, 50882, 55820, 50912, 50443, 51555, 52284, 50900, 64501, 74552, 51721, 57446, 50849, 51892, 50447, 51068, 50833, 59207, 51783, 50811, 52185, 51420, 50858, 56403, 55162, 50997, 64501, 59021, 50823, 51986, 51013, 51721, 50914, 51068, 50849, 51471, 50460, 51762, 50799, 52402, 51591, 51615, 51591, 51863, 51591, 53088, 51573, 51676, 51054, 52317, 67116, 50817, 51402, 53405, 50997, 69990, 72139, 51652, 57446, 50805, 52068, 50421, 52623, 67808, 51831, 57446, 51420, 52670, 52770, 51420, 74875, 53842, 71288, 69990, 75892, 54736, 52201, 50959, 63842, 50884, 51570, 50882, 55820, 54947, 50997, 64501, 75892, 54736, 50849, 51892, 50447, 51068, 50833, 59207, 52623, 50811, 51643, 51420, 50858, 56403, 55162, 50997, 64501, 59021, 50823, 51555, 50811, 52200, 57446, 50849, 51471, 50460, 51762, 50799, 51986, 51196, 51993, 51413, 51743, 51413, 52255, 51413, 52414, 51103, 51859, 51573, 52977, 51573, 53146, 76727, 55964, 57154, 50817, 51402, 53405, 51040, 68916, 62208, 60061, 50859, 63448, 50849, 51925, 50845, 53327, 50873, 58081, 50912, 52389, 55964, 56975, 74875, 50903, 50912, 70201, 56427, 51040, 51014, 50871, 62208, 52865, 64850, 52189, 77377, 50942, 50436, 52574, 51462, 53470, 52623, 50859, 52200, 50812, 52402, 50849, 52255, 50849, 51711, 53834, 55964, 53284, 76688, 50903, 55918, 54947, 50900, 64501, 62208, 60061, 50859, 60483, 50873, 51845, 50974, 52612, 51370, 53045, 54276, 50798, 55225, 57154, 66354, 51927, 51035, 50892, 50455, 51986, 52884, 50900, 64501, 62208, 51014, 51643, 53497, 67513, 50859, 56278, 50925, 50460, 51762, 50799, 51986, 50921, 52226, 50849, 51743, 51189, 52255, 51413, 52414, 51413, 51859, 51054, 52977, 51054, 53146, 57393, 55964, 57154, 50817, 51402, 53405, 51040, 51014, 50871, 62208, 51010, 51555, 50803, 51643, 61181, 50859, 63448, 50901, 51925, 61544, 51248, 50934, 60684, 53450, 51783, 50803, 51721, 51654, 51331, 65958, 51432, 50430, 52352, 51698, 58923, 55544, 50900, 64501, 74552, 52623, 50859, 51643, 58029, 52189, 59809, 60684, 66144, 52574, 51462, 54233, 52402, 51124, 52255, 51124, 51711, 64861, 55964, 53284, 76688, 50903, 59251, 54947, 50900, 64501, 62208, 51045, 51068, 51049, 53364, 50873, 51845, 50892, 52612, 51370, 53045, 52843, 50798, 55225, 57948, 66354, 51927, 51035, 56711, 50900, 64501, 62208, 51045, 51986, 50880, 51643, 58029, 50808, 51190, 50934, 72732, 50942, 50460, 51762, 50799, 51986, 50821, 52226, 50808, 51743, 51189, 52255, 51413, 52414, 51103, 51859, 51054, 52977, 51054, 53146, 57393, 55964, 52839, 50817, 51402, 53405, 51040, 51014, 50871, 62208, 50811, 51555, 50811, 51643, 58029, 51049, 53821, 50873, 51925, 50845, 53327, 50849, 58081, 53450, 51783, 50811, 51721, 51747, 55964, 59074, 74875, 50903, 50912, 70201, 55544, 50900, 64501, 74552, 51986, 50976, 51643, 69362, 61181, 52189, 77377, 50925, 50436, 52574, 51462, 54233, 52402, 51191, 52255, 51191, 51711, 62288, 55964, 53284, 50882, 55820, 54947, 50900 ]
[ 0, 713, 5175, 2214, 6, 30291, 19, 3152, 4785, 6, 1575, 10, 11739, 9, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 13602, 6757, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 15229, 7630, 6568, 10, 3344, 9, 15352, 30054, 6, 2365, 6, 8, 1372, 6711, 29, 6, 19, 12577, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51164, 50915, 72918, 50872, 62136, 50915, 69546, 51257, 50943, 52584, 56946, 51016, 51321, 61649, 51164, 57680, 68931, 62136, 50889, 77289, 51257, 50889, 52584, 55113, 51090, 51321, 59306, 51164, 57954, 58541, 56244, 59192, 51554, 50321, 50879, 52584, 52420, 75390, 55885, 51164, 54180, 58541, 56244, 62289, 50806, 68395, 52584, 57623, 66433, 55416, 51164, 58239, 54891, 56244, 56990, 51424, 50321, 50873, 52584, 54780, 71535, 50806, 52591, 51781, 55341, 51262, 55214, 51543, 65109, 51536, 57626, 51536, 59575, 51543, 59357, 51781, 56160, 51262, 56210, 51781, 50923, 50799, 51262, 52208, 51164, 50915, 72918, 50872, 62136, 50915, 69546, 51257, 50943, 52584, 56946, 51016, 51321, 61649, 51164, 57680, 68931, 62136, 50889, 77289, 51257, 50889, 52584, 55113, 51090, 51321, 59306, 51164, 57954, 58541, 56244, 59192, 51554, 50321, 50879, 52584, 52420, 75390, 55885, 51164, 54180, 58541, 56244, 62289, 50806, 68395, 52584, 57623, 66433, 55416, 51164, 58239, 54891, 56244, 56990, 51424, 50321, 50873, 52584, 54780, 71535, 50806, 52591, 52652, 51972, 50295, 57078, 52652, 50806, 51751, 57067, 51536, 51972, 50292, 50911, 54423, 58395, 52652, 51972, 50295, 52420, 50858, 53012, 56646, 52652, 51834, 50295, 50923, 54144, 50911, 52612, 55230, 52652, 51834, 50295, 50923, 54144, 55020, 57241, 51978, 50879, 54144, 55020, 50923, 50799, 52436, 50807, 51164, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52436, 50806, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 52172, 71065, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52436, 51090, 51164, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 52436, 51090, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51978, 51090, 51164, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52656, 50806, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51978, 66341, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52656, 51834, 50297, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 52656, 51054, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51978, 51977, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 59008, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51262, 50806, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 51781, 51972, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51543, 68438, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 51543, 50949, 51164, 54180, 50805, 51416, 55195, 71535, 72253, 51536, 51566, 50441, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 52825, 51054, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51536, 51834, 50297, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51543, 51972, 50297, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 51781, 51952, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51262, 52311, 50946, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 51164, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 52608, 51834, 50297, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51978, 51972, 50297, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51978, 51834, 50297, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52656, 51834, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51978, 60772, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52656, 51237, 51164, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 52436, 51834, 50297, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 52656, 51952, 50297, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 52380, 51972, 50297, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 52380, 51972, 50297, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52380, 51972, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 52380, 68438, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52436, 51972, 50297, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 52656, 51054, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51978, 51552, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 59008, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 52825, 51090, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 52652, 50894, 50946, 62773, 50879, 55298, 71535, 53660, 51630, 52965, 50584, 55381, 51536, 51834, 50297, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51781, 51761, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51262, 51379, 51164, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51164, 57084, 50893, 52584, 66433, 66685, 51781, 51379, 50423, 51321, 52422, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 74875, 51262, 70192, 50946, 62773, 50879, 55298, 66433, 53660, 51321, 55381, 51536, 51834, 50297, 54180, 50805, 52584, 55195, 71535, 58909, 51321, 55920, 51543, 51972, 50297, 62773, 50795, 52584, 55195, 66433, 57152, 51321, 54988, 51781, 51054, 51164, 50795, 56116, 52584, 54780, 66433, 56328, 51321, 54712, 52656, 51952, 50297, 62773, 50795, 51349, 54209, 71535, 57308, 51321, 50894, 50799, 52436, 50896, 52021, 74049, 50805, 51526, 54209, 51090, 51321, 56191, 51321, 53113, 52021, 51624, 50297, 50879, 51526, 66433, 54007, 51321, 52422, 52436, 50806, 52540, 51624, 50297, 50795, 52458, 55020, 51090, 51321, 58465, 51321, 53917, 52656, 51834, 50294, 59746, 50806, 52585, 75390, 53660, 51321, 55381, 52436, 51090, 52021, 51624, 50297, 50795, 52584, 55195, 71535, 58909, 51321, 55920, 52021, 50806, 51164, 50893, 52584, 54209, 66433, 57152, 51321, 54988, 52656, 51834, 50290, 55963, 50879, 52584, 54780, 66433, 56328, 51321, 54712, 52436, 50896, 52021, 51554, 50297, 50893, 51349, 55195, 71535, 57308, 51321, 50894, 74015, 74049, 50805, 51526, 54209, 51090, 51321, 56191, 51321, 53113, 52656, 51834, 50290, 51624, 50297, 50879, 51526, 66433, 54007, 51321, 52422, 52436, 50806, 52540, 51624, 50297, 50795, 52458, 55020, 51090, 51321, 58465, 51321, 53917, 52656, 51834, 50294, 59746, 50806, 52585, 75390, 53660, 51321, 55381, 52436, 51090, 52021, 51624, 50297, 50795, 52584, 55195, 71535, 58909, 51321, 55920, 52021, 50806, 51164, 50893, 52584, 54209, 66433, 57152, 51321, 54988, 52656, 51834, 50290, 55963 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 9066, 2821, 16235, 150, 67, 1839, 3423, 9, 26545, 8, 3722, 5581, 4, 8504, 11, 10, 231, 73, 398, 86, 6543, 8, 1375, 23, 10, 7212, 20889, 6, 24, 1575, 10, 4066, 30062, 620, 7085, 24943, 217, 12280, 642, 6, 6755, 12547, 6, 17691, 28430, 6, 326, 15673, 10342, 6, 8, 1515, 21305, 4, 20, 762, 9, 12608, 3694, 31473, 10, 2842, 9, 40602, 6, 19, 10, 33215, 16739, 9, 274, 406, 6, 163, 428, 6, 12608, 6, 274, 406, 6, 8, 230, 10431, 1271, 46336, 773, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50631, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 59472, 50849, 53599, 50849, 51540, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 54480, 50849, 52481, 50849, 51540, 54339, 54484, 55815, 54484, 51540, 54339, 54484, 56726, 54484, 51540, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 59472, 50849, 53599, 50849, 51540, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 54480, 50849, 52481, 50849, 52356, 51661, 51540, 51326, 61649, 51326, 54100, 51456, 54993, 51326, 57105, 51456, 51016, 50462, 51326, 50892, 50468, 51326, 51016, 50480, 51326, 50892, 51540, 53148, 50849, 52332, 54484, 52414, 54484, 51456, 67039, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52033, 54484, 52187, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52332, 54484, 52414, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52033, 54484, 52187, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52332, 54484, 52414, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 51615, 54484, 51838, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 52830, 50849, 52187, 53073, 52225, 54484, 50420, 52830, 56217, 52830, 55965, 73603, 52407, 50444, 52830, 53794, 52830, 50914, 50462, 52065, 50914, 73603, 51878, 50474, 52371, 50914, 51540, 52830, 50849, 53129, 54484, 73603, 51535, 50420, 52830, 56217, 52830, 55965, 73603, 51562, 50444, 52830, 53794, 52830, 50914, 50462, 52065, 50914, 73603, 51446, 50474, 52371, 50914, 51540, 57805, 50897, 52602, 50897, 64976, 51466, 50798, 50981, 74771, 51661, 50426, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 64976, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 59472, 50849, 53599, 50849, 50763, 50329, 51466, 50474, 50763, 50319, 51466, 51540, 57805, 50897, 52602, 50897, 64976, 68289, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 50763, 50322, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 54480, 50849, 52481, 50849, 64976, 51466, 50474, 50763, 50319, 51466, 51540, 51656, 53073, 52340, 54484, 64976, 68289, 50763, 50319, 66916, 64976, 67303, 50763, 50319, 51466, 50462, 50763, 50329, 51466, 50474, 50763, 50319, 51466, 51540, 51838, 54484, 64976, 68289, 50763, 50319, 66916, 50763, 50322, 67303, 50763, 50319, 51466, 50462, 64976, 51466, 50474, 50763, 50319, 51466, 51540, 57805, 50897, 52602, 50897, 64976, 68289, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 64976, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 59472, 50849, 53599, 50849, 50763, 50329, 51466, 50474, 50763, 50319, 51466, 51540, 57805, 50897, 52602, 50897, 64976, 68289, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 50763, 50322, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 54480, 50849, 52481, 50849, 64976, 51466, 52356, 51661, 50474, 50763, 50319, 51466, 51540, 50763, 50322, 51466, 51326, 61649, 50763, 50317, 51466, 51326, 54100, 51456, 54993, 50763, 50322, 51466, 51326, 57105, 50763, 50317, 51466, 51456, 51016, 50462, 79816, 51466, 51326, 50892, 50468, 51326, 51016, 50474, 50763, 50317, 51466, 50480, 51326, 50892, 51540, 52065, 50897, 53100, 54484, 52332, 54484, 50763, 50322, 51466, 51456, 67039, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53541, 54484, 52033, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53100, 54484, 52332, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53541, 54484, 52033, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53100, 54484, 52332, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 51881, 54484, 51615, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 51883, 50849, 52033, 53073, 51656, 54484, 50763, 50320, 51466, 51769, 51448, 50420, 51883, 55973, 50763, 50314, 79542, 51883, 55965, 50763, 50320, 51466, 73603, 52407, 50444, 51883, 53794, 51883, 50914, 50763, 50314, 51466, 50462, 51301, 50914, 50763, 50322, 51466, 73603, 51878, 50474, 51883, 50914, 50763, 50314, 51466, 51540, 51883, 50849, 52187, 54484, 50763, 50320, 51466, 73603, 51535, 50420, 51883, 55973, 50763, 50314, 79542, 51883, 55965, 50763, 50320, 51466, 73603, 51562, 50444, 51883, 53794, 51883, 50914, 50763, 50314, 51466, 50462, 51301, 50914, 50763, 50322, 51466, 73603, 51446, 50474, 51883, 50914, 50763, 50314, 51466, 51540, 54480, 52149, 53188, 51977, 64976, 51466, 50798, 51448, 52173, 50981, 74771, 51661, 52849, 58326, 50763, 50319, 51466, 52926, 50981, 53042, 56692, 64976, 51466, 51802, 50981, 52849, 57105, 56726, 54484, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 50462, 64976, 51466, 52549, 50981, 52849, 50981, 50474, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 51540, 50763, 50327, 51466, 52173, 50981, 53958, 58326, 50763, 50319, 51466, 52926, 50981, 53042, 56692, 50763, 50327, 51466, 52824, 50981, 53958, 57105, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 50462, 53718, 51016, 50763, 50327, 51466, 52549, 50981, 53958, 50981, 50474, 54339, 51016, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 51540, 53976, 51016, 79816, 51466, 52824, 50981, 53314, 58326, 53499, 51661, 50763, 50319, 51466, 52926, 50981, 53042, 56692, 79816, 51466, 52549, 50981, 53314, 57105, 53188, 51016, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 50462, 53718, 52536, 79816, 51466, 52824, 50981, 53314, 50981, 50474 ]
[ 0, 250, 12298, 11057, 2125, 19, 15855, 16882, 6, 42, 765, 2214, 7630, 6568, 5, 4780, 9, 1619, 4, 27901, 10, 20902, 3222, 5785, 227, 326, 5638, 18026, 6, 13305, 6, 32909, 6, 21979, 9590, 6, 8, 1076, 560, 31365, 25999, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 6, 5, 15229, 24708, 1626, 149, 10, 651, 9, 40286, 217, 163, 428, 6, 1614, 757, 6, 163, 35470, 757, 6, 211, 119, 6, 8, 230, 119, 406, 6, 2351, 10, 32076, 8, 15352, 30054, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50450, 51993, 52254, 54204, 52221, 56254, 65173, 72926, 74242, 78466, 51405, 55640, 54021, 51108, 50843, 71484, 60990, 50999, 50910, 76531, 51339, 50910, 52470, 68958, 52221, 51142, 50852, 63319, 70427, 51114, 50830, 63558, 51146, 53484, 54021, 51108, 50843, 50984, 50458, 65133, 71049, 69955, 51405, 55744, 50827, 54204, 58747, 55249, 79180, 67908, 50968, 50910, 71049, 51062, 56382, 54021, 51709, 50843, 76969, 60537, 51114, 50897, 77757, 51146, 65110, 61929, 51261, 52221, 63713, 51123, 50446, 75983, 60537, 60990, 51081, 53484, 54021, 51108, 50843, 51269, 50458, 67908, 50968, 50910, 71049, 76531, 53861, 54204, 53769, 56254, 79180, 76251, 67594, 72926, 51147, 56382, 54021, 51108, 50843, 51123, 50434, 75983, 71774, 69697, 51081, 55744, 54793, 51261, 56426, 62854, 50984, 72785, 69272, 50897, 66634, 60990, 51150, 55476, 60205, 50989, 50952, 66734, 51028, 50897, 78690, 52078, 51328, 50852, 50984, 50458, 50861, 50952, 71777, 66557, 58884, 52157, 63388, 53065, 50971, 56020, 52372, 51354, 50434, 51993, 64543, 52200, 51354, 50446, 51721, 61208, 52185, 51379, 50458, 51652, 51014, 52591, 50997, 62930, 57631, 50807, 51560, 51218, 52000, 59084, 54553, 56439, 50800, 53951, 50851, 53327, 50984, 57363, 51022, 51302, 51252, 53924, 62718, 51126, 55203, 50910, 50871, 50952, 76251, 51140, 50901, 51451, 55576, 55921, 50857, 56576, 54915, 51040, 50830, 77206, 50877, 50952, 51705, 51194, 51917, 58610, 54553, 55921, 71529, 50899, 50952, 64871, 75983, 51098, 50845, 51322, 55576, 55619, 59539, 50962, 56020, 52372, 51167, 50434, 51993, 59826, 52200, 51379, 50446, 51721, 53484, 52185, 51167, 50458, 51652, 51013, 56020, 51026, 67997, 50879, 51461, 51191, 51830, 50845, 52428, 51002, 64370, 50887, 53924, 56439, 70008, 51273, 67272, 51176, 50910, 61617, 53008, 55576, 55836, 50836, 53526, 55400, 52772, 51027, 51110, 50989, 50967, 51664, 58610, 56062, 56439, 65170, 51560, 51177, 50458, 72995, 50861, 50952, 51493, 50873, 52000, 55576, 54806, 59539, 50890, 56020, 51721, 50896, 50434, 52185, 59826, 51652, 51215, 50446, 51831, 51175, 50852, 51128, 57702, 50984, 50458, 51150, 50813, 52770, 55968, 50984, 53202, 51189, 52200, 51354, 77109, 50416, 51339, 51609, 50335, 74027, 51643, 51362, 50424, 51487, 50987, 55057, 57075, 60462, 53919, 59992, 51150, 70436, 59068, 52956, 56180, 51140, 51413, 50856, 68273, 52357, 68500, 53919, 52059, 50843, 51740, 74879, 51150, 57075, 57490, 52357, 50855, 55435, 50955, 74372, 62958, 51261, 51121, 51652, 51354, 53673, 50422, 52185, 58798, 51667, 51215, 50434, 51721, 51090, 50446, 52770, 58710, 51831, 64603, 51652, 56764, 50864, 55985, 51000, 56483, 51297, 50799, 52770, 51294, 50415, 50804, 52514, 66345, 51110, 51040, 51095, 50989, 51110, 51705, 51191, 52000, 51097, 51917, 50915, 51547, 50915, 52428, 51024, 50887, 53924, 59539, 59656, 51027, 50897, 50900, 50910, 62676, 51140, 51255, 51664, 50959, 51451, 50878, 51256, 55576, 55836, 60520, 51150, 54597, 59295, 52772, 51176, 50897, 70489, 51086, 51178, 53008, 50878, 51912, 50878, 51366, 55576, 56062, 56439, 65170, 51493, 51178, 50458, 51026, 50897, 50997, 50910, 50956, 50910, 51560, 51060, 51830, 50878, 52000, 50878, 51772, 55576, 54806, 56715, 50890, 56020, 52372, 51354, 50434, 51993, 64543, 52200, 51354, 50446, 51721, 57642, 53567, 52185, 77230, 63569, 51652, 51014, 60653, 51535, 51772, 51123, 51209, 50984, 52000, 60615, 55918, 62642, 51487, 58326, 52000, 50912, 51772, 51123, 51209, 61005, 50833, 55703, 56006, 51261, 51189, 52000, 51123, 51772, 51123, 51209, 63054, 51524, 50791, 72422, 51405, 60886, 76288, 51339, 50867, 52000, 51123, 51772, 51123, 51209, 50368, 51163, 57465, 51487, 70172, 51389, 64479, 51930, 50912, 53842, 50459, 51487, 50942, 50460, 51984, 50863, 60653, 51749, 52000, 51123, 51772, 51123, 51209, 61530, 51210, 53673, 50422, 52372, 60467, 54953, 52000, 51123, 51772, 51123, 51209, 64930, 58877, 51993, 50940, 73216, 58226, 52212, 51917, 51123, 51772, 51123, 51209, 51123, 52200, 71994, 51365, 66267, 50446, 51721, 52744, 54626, 52000, 50984, 51917, 50984, 51772, 51123, 51209, 50984, 52185, 51167, 50843, 61076, 51652, 51013, 53842, 50799, 53691, 52407, 51451, 51123, 51366, 50907, 51674, 51524, 50798, 51051, 53842, 55429, 54325, 51451, 50984, 51366, 50912, 51674, 50368, 51163, 51008, 50427, 51814, 60952, 52052, 50864, 55703, 52788, 53117, 50844, 53033, 51576, 51451, 51123, 51366, 50984, 51674, 61530, 51210, 53861, 50440, 52357, 63251, 53842, 50447, 52128, 58038, 51984, 50932, 51451, 51123, 51366, 50984, 51674, 62759, 50977, 50451, 52052, 51126, 50452, 51814, 62298, 53117, 56423, 69510, 52357, 50878, 53788, 51056, 51366, 50984, 51674, 64843, 51142, 53673, 50415, 52128, 51212, 50422, 51721, 50896, 60656, 51261, 51377, 51451, 51123, 51366, 50912, 51674, 62759, 60661, 52185, 55417, 61389, 51522, 51159, 51451, 50984, 51366, 50907, 51674, 51123, 51652, 66150, 55336, 51126, 50446, 51831, 51175, 50852, 58271, 51493, 51056, 51451, 50984, 51366, 50912, 51674, 50368, 51163, 62990, 52770, 55968, 51126, 53202, 51103, 51451, 50984, 51772, 50984, 51256, 50984, 51674, 51022, 52200, 72109, 51051, 53861, 50422, 51643, 51362, 50426, 51451, 50984, 51772, 50984, 51256, 50907, 51674, 50368, 51163, 60661, 53978, 57385, 51295, 51451, 51123, 51772, 50984, 51256, 50907, 51674, 61530, 51051, 53673, 50439, 51430, 51604, 50333, 51177, 50446, 50852, 63491, 51487, 52800, 51772, 50984, 51256, 50907, 51674, 50368, 51163, 59672, 51150, 52854, 50904, 54204, 50937, 52000, 50912, 51322, 50851, 51256, 50907, 51674, 50984, 51652, 72109, 51524, 50422, 52185, 58798, 51667, 51215, 50434, 51721, 51090, 50446, 52770, 58710, 51831, 50967, 56871, 63569, 51652, 56764, 50874, 52198, 51123, 56483, 51832, 55970, 50914, 52770, 61025, 51252, 50422, 51930, 51679, 51721, 50940, 52200, 50940, 51979, 50910, 51579, 50910, 52336, 50910, 55558, 53071, 50364, 51002, 56717, 50955, 51866, 50952, 52178, 50952, 53397, 75724, 51652, 50940, 51643, 50940, 52491, 50910, 51744, 50925, 51579, 50925, 52629, 55588, 52406, 50583, 50827, 52384, 50830, 51866, 50830, 52194, 59646, 51560, 58641, 51269, 50446, 51930, 51679, 52185, 50952, 52226, 50940, 51978, 50952, 51509, 50830, 52264, 50830, 55078, 58396, 59809, 52984, 50586, 50912, 51702, 50952, 52377, 50952, 54006, 71208, 51831, 50952, 51721, 50940, 52228, 50952, 51485, 50830, 51509, 50830, 52336, 58063, 52984, 50588, 51000, 52058, 50940, 51702, 50940, 52178, 50940, 55970, 53769, 71876, 51930, 51381, 51652, 50940, 51643, 50921, 52491, 50952, 51744, 50897, 51579, 50897, 52629, 56411, 53119, 55095, 50586, 50864, 52384, 50952, 51866, 50952, 52194, 68686, 52185, 50921, 52226, 50921, 51978, 50952, 51509, 50830, 52264, 50830, 55078, 58063, 52406, 50583, 51128, 51702, 50952, 52377, 50952, 54006, 50940, 55935, 64704, 50804, 55707, 51560, 58641, 50925, 50439, 50804, 52101, 50446, 51216, 51204, 52113, 50896, 52226, 51226, 52172, 51091, 52067, 51362, 55078, 51362, 57317, 51362, 52615, 51002, 50376, 52526, 50884, 52148, 51362, 54006, 51362, 53572, 51226, 56451, 51048, 51643, 50921, 52200, 50921, 52656, 50952, 52264, 50940, 52629, 50940, 55558, 58732, 51862, 50804, 54250, 51252, 52377, 50940, 52194, 50940, 53397, 50921, 51629, 53201, 51811, 52720, 50423, 51451, 50912, 51772, 50907, 51209, 50851, 51408, 53220, 51522 ]
[ 0, 250, 32076, 8, 11653, 3495, 12, 12659, 2214, 14, 7630, 6568, 6453, 9, 657, 8, 1619, 9450, 4, 27901, 10, 20902, 3222, 5785, 9, 2020, 3548, 6, 21979, 8669, 6, 24896, 6, 8, 21979, 9590, 6, 5, 1349, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 24, 22848, 10, 16331, 33215, 16739, 9, 211, 6, 83, 6, 211, 6, 83, 73, 717, 6, 8, 272, 1328, 63, 15352, 30054, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50456, 51967, 59672, 52130, 61780, 53058, 50890, 53458, 50993, 51707, 51194, 51707, 51312, 55338, 51047, 51207, 51312, 71539, 51951, 60232, 51967, 54475, 51891, 51380, 50935, 71488, 50811, 51439, 50971, 62326, 63614, 67524, 53122, 58218, 51707, 51423, 50424, 50998, 50870, 52682, 70576, 50929, 51884, 50426, 51150, 51566, 52344, 51380, 51725, 52378, 52064, 57781, 50986, 51797, 50430, 51207, 50971, 52130, 70328, 51574, 72883, 51891, 51351, 50847, 51010, 50909, 51031, 51149, 50841, 78792, 75646, 67671, 51967, 54125, 51707, 59572, 52064, 65268, 51207, 53913, 51098, 51227, 55338, 51199, 53122, 78447, 51707, 51166, 50960, 50971, 52682, 54815, 52554, 50827, 50935, 61031, 51031, 51207, 50892, 62326, 63614, 67524, 53122, 71977, 51891, 51709, 52682, 53688, 51461, 51056, 51891, 51380, 50847, 51269, 51725, 51074, 52064, 66354, 52181, 50959, 51207, 51337, 65499, 52130, 54353, 52344, 51174, 50847, 51010, 50909, 50817, 51149, 50834, 51725, 51210, 51574, 50955, 69088, 51032, 50851, 51967, 62474, 59028, 50460, 51891, 52188, 52064, 50862, 53458, 51454, 55338, 51381, 50847, 52167, 50935, 51550, 51207, 51419, 53122, 74871, 50847, 51319, 52682, 55777, 51707, 51145, 50847, 51031, 50935, 50883, 51439, 50825, 65813, 69239, 65244, 53122, 67937, 52554, 51709, 52682, 52329, 51461, 51227, 52181, 58179, 52167, 50909, 51004, 52064, 60262, 52012, 70898, 51725, 51884, 50429, 50986, 52059, 50430, 52162, 57823, 51851, 51207, 50867, 52130, 67803, 51574, 50844, 51207, 54100, 56102, 50932, 50847, 68969, 50817, 51149, 50841, 75646, 64145, 51967, 68412, 52554, 51576, 52064, 53894, 69278, 51891, 51535, 50847, 51524, 51207, 51210, 53122, 58746, 50960, 74034, 52162, 58719, 51319, 51207, 50941, 52521, 54815, 56102, 50827, 50935, 50949, 51439, 67073, 50817, 51444, 51074, 78792, 62326, 63614, 51076, 50912, 52682, 75637, 50947, 51210, 53122, 68168, 51078, 51884, 51131, 60333, 51273, 51048, 53476, 51797, 50850, 51252, 51444, 51080, 52521, 50940, 50454, 52181, 51753, 51007, 71040, 51000, 51131, 55370, 51997, 50874, 50850, 74779, 50817, 51840, 50811, 54039, 50817, 51131, 50844, 69605, 70437, 62458, 52130, 50940, 50460, 51891, 51797, 50947, 50870, 50998, 50870, 53058, 50890, 53458, 51066, 51707, 51309, 52554, 51423, 71602, 51951, 50858, 65751, 51166, 50417, 51967, 60400, 51207, 51411, 50420, 51891, 51134, 62326, 63614, 51076, 50904, 53122, 70086, 50935, 50961, 51439, 64780, 53578, 52682, 67596, 51707, 50904, 50998, 59045, 50929, 51884, 50426, 51461, 51110, 52181, 51172, 51574, 51210, 51725, 52034, 50427, 52064, 55658, 51707, 51174, 50430, 50847, 51851, 51207, 50867, 51574, 50971, 52130, 53810, 51891, 50827, 50847, 68969, 50817, 52138, 50908, 51149, 50895, 51574, 50844, 51207, 50892, 70437, 63614, 51032, 50851, 51967, 68412, 51891, 51314, 50998, 50971, 52064, 59948, 50929, 55659, 51098, 51454, 52554, 51534, 51207, 51419, 53122, 75018, 52162, 52482, 52682, 54815, 51707, 56713, 62437, 50884, 51439, 50863, 62326, 63614, 67524, 53122, 71977, 52554, 50886, 50986, 50870, 52682, 61216, 50929, 51884, 50450, 51150, 51460, 52344, 51709, 51574, 50907, 51725, 51376, 52064, 59682, 50847, 51297, 51207, 51645, 50454, 52181, 51481, 51574, 50971, 52130, 68065, 50847, 52884, 51707, 51058, 50909, 50817, 51149, 50818, 51725, 51210, 51574, 50955, 75646, 69088, 51032, 50907, 51967, 53848, 51007, 51297, 50460, 51891, 51961, 52064, 50887, 54079, 51073, 52146, 51412, 50850, 51079, 51131, 51079, 51444, 52222, 50415, 51967, 74871, 53154, 52034, 52130, 55180, 51997, 51328, 68130, 51007, 50817, 54039, 51072, 51840, 51072, 51131, 51411, 50986, 51310, 51078, 50981, 79504, 53058, 67937, 52146, 50874, 50947, 52059, 51951, 53901, 51216, 51160, 51891, 51080, 52012, 51333, 52142, 52765, 51951, 64247, 52850, 50977, 51131, 50978, 50431, 53058, 52749, 52344, 51852, 52391, 50851, 51007, 59482, 50811, 54039, 50811, 51840, 50811, 69605, 50947, 53720, 52554, 50984, 52142, 68412, 50947, 57892, 51951, 54362, 51098, 51932, 51707, 50955, 50847, 52179, 51207, 51391, 50441, 53058, 63753, 51439, 50912, 79183, 50847, 60964, 51951, 50839, 51951, 54651, 51707, 52034, 50935, 51066, 50847, 50802, 51439, 50821, 69432, 51076, 51008, 50929, 51312, 50447, 52142, 71303, 51707, 51419, 51076, 51797, 50449, 51951, 55260, 51273, 51380, 52181, 50851, 53092, 52598, 50451, 50847, 60201, 51439, 50836, 51207, 65556, 52162, 51310, 50935, 64266, 63152, 51444, 56109, 53937, 50867, 58735, 50847, 50823, 77144, 51207, 50892, 50960, 51391, 50929, 50981, 71721, 53058, 67320, 56102, 56551, 51707, 51108, 51439, 53892, 51076, 51806, 50460, 50935, 51642, 52142, 50890, 53458, 50980, 55338, 51108, 50847, 50873, 51207, 50892, 51951, 50952, 50418, 51967, 72531, 51444, 55126, 51891, 50995, 50847, 62437, 50817, 51439, 50829, 51207, 50892, 63614, 53122, 67937, 52554, 50904, 50998, 50870, 52682, 58067, 50929, 52378, 50426, 51461, 51116, 51891, 52460, 52181, 51852, 51725, 52034, 51574, 50907, 52064, 58967, 51207, 51233, 51574, 50971, 52130, 65838, 51707, 51006, 50431, 51574, 50844, 51967, 53627, 51891, 50874, 50847, 68969, 50817, 51149, 50828, 70437, 51032, 65598, 51891, 52407, 52064, 59948, 51207, 54137, 51098, 51735, 52554, 51043, 53122, 75018, 52162, 51884, 52682, 54400, 51707, 51058, 50847, 62437, 50817, 51439, 50841, 51207, 51411, 62326, 51444, 50987, 63614, 77576, 53122, 56325, 52554, 71487, 50998, 50870, 52682, 61495, 51574, 50972, 50929, 56989, 51461, 51178, 51891, 51387, 52181, 51172, 51725, 52034, 52064, 59682, 70396, 51207, 66663, 51707, 51079, 52130, 68065, 51574, 50933, 50929, 51210, 51207, 50892, 50986, 60077, 51891, 50874, 50847, 64622, 50817, 51149, 50841, 64145, 51967, 53848, 51891, 51419, 50460, 52064, 59026, 51207, 51391, 53458, 51566, 52554, 51203, 53122, 54275, 52682, 65000, 52162, 52482, 50419, 51444, 50892, 70748, 50929, 54351, 51707, 58507, 51031, 50935, 50961, 51439, 50864, 51076, 50971, 53122, 53184, 52554, 50874, 52682, 62115, 50998, 59045, 78445, 51574, 50972, 52064, 51620, 51461, 51124, 51891, 51412, 50847, 52946, 51725, 51376, 50429, 52344, 51212, 50986, 51797, 51207, 50971, 52130, 59225, 50847, 51319, 50431, 51725, 51210, 51574, 50955, 51967, 53911, 51707, 50978, 50847, 68969, 50817, 52138, 78756, 50895, 75646, 51032, 50851, 51207, 67869, 51891, 51309, 52064, 59948, 71657, 51207, 50892, 53122, 51724, 51098, 50993, 51707, 51423, 52554, 51328, 50847, 51432, 50441, 52521, 59503, 51444, 51074, 60846, 78792, 63614, 52682, 54651, 51891, 50995, 50935, 63671, 50817, 51439, 50834, 51076, 57764, 51707, 50933, 53122, 68168, 51078, 52378, 51131, 51079, 51444, 51145, 52521, 58631, 51273, 50980, 52131, 50941, 50850, 71364, 51997, 67512, 53154, 51432, 50453, 51997, 50827, 51967, 65603, 51007, 64360, 51131, 50844, 62326, 52130, 54424, 51891, 51749, 50850, 75544, 50817, 51840, 50811, 54039, 50817, 50947, 56573, 51707, 52059, 50947, 50870, 53058, 65706, 71657, 51207, 50892, 53458, 51072, 51707, 51363, 51951, 50858, 65751, 52731, 50417, 52162, 51254, 50418, 51967, 64682, 78792, 62326, 63614, 51076, 53004, 51707, 50827, 50935, 63671, 50817, 51439, 50835, 53122, 54080, 51707, 50864, 52682, 62115, 50929, 51884, 50425, 51725, 51645, 51574, 51645, 50426, 51461, 51377, 52181, 51645, 52064, 57781, 51707, 51074, 65425, 51207, 50941, 52130, 65838, 50847 ]
[ 0, 713, 1769, 12, 20764, 5175, 1349, 6, 30291, 19, 10, 25306, 27456, 6, 16, 10, 765, 53, 913, 2650, 15229, 4, 660, 10170, 1499, 6, 2020, 3548, 6, 8, 5627, 16776, 1962, 1572, 7, 1045, 10, 2216, 34753, 11739, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 3185, 30, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 272, 6, 83, 6, 8, 211, 4, 20, 6711, 16, 2933, 8, 20425, 6, 19, 15352, 30054, 4785, 1271, 41, 9066, 2842, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 62967, 50889, 51224, 50889, 51553, 50889, 53653, 51077, 51871, 67297, 62967, 71470, 50889, 51553, 55112, 62967, 53912, 51224, 50889, 51553, 50889, 53653, 50889, 51871, 55480, 50756, 50287, 55082, 51224, 50805, 51553, 50805, 53653, 50889, 52939, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51553, 50889, 53342, 50889, 51908, 54243, 63812, 71470, 50889, 51553, 50889, 53342, 50889, 51666, 55112, 63812, 53912, 51224, 50889, 51553, 50889, 53342, 50889, 51666, 55480, 50756, 50289, 55082, 51224, 50805, 51553, 50805, 53342, 50889, 52330, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51553, 50889, 57027, 50889, 52330, 54243, 50756, 50287, 71470, 50889, 51553, 50889, 57027, 50889, 51908, 55112, 50756, 50287, 53912, 51224, 50889, 51553, 50889, 57027, 50889, 51666, 55480, 50756, 50282, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 52330, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 51077, 51994, 67297, 62967, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 62967, 53912, 51224, 52476, 50579, 50808, 53653, 50889, 51994, 67480, 51224, 52476, 50579, 52711, 50756, 50287, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53653, 50889, 51873, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 50805, 52330, 52864, 57027, 51141, 51666, 74978, 50756, 50287, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 55112, 50756, 50287, 53912, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 50889, 51666, 55480, 50756, 50282, 55082, 51224, 71470, 50805, 51553, 50805, 51553, 50805, 57027, 50889, 51666, 55069, 62967, 71470, 71470, 50805, 51553, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 50889, 51908, 54243, 62967, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 50889, 51666, 55112, 50756, 50289, 53912, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 50889, 51531, 55480, 50756, 50289, 55082, 51224, 71470, 50805, 51553, 50805, 51553, 50805, 53653, 50889, 52330, 55069, 56596, 71470, 71470, 50805, 51553, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 50805, 51873, 52864, 53342, 50805, 51873, 52483, 63812, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 51538, 51873, 51538, 50432, 63812, 53912, 51224, 52476, 50579, 54134, 51224, 52476, 50579, 52711, 50756, 50289, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 52961, 63812, 59571, 72575, 50805, 52060, 50805, 50799, 63812, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 50889, 51873, 54243, 63812, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 50889, 53342, 50889, 51873, 50889, 51666, 50889, 52368, 50889, 53375, 55112, 63812, 53912, 51224, 52476, 50579, 50808, 52619, 50889, 51994, 50889, 51908, 50889, 51871, 50889, 54399, 67480, 51224, 52476, 50579, 52711, 50756, 50289, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53438, 50889, 52939, 50889, 52368, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51553, 50889, 53653, 51077, 51994, 51077, 51871, 51077, 53375, 67297, 62967, 71470, 50889, 51553, 55112, 62967, 53912, 51224, 50889, 51553, 50889, 53653, 50889, 51994, 50889, 51871, 50889, 53375, 55480, 50756, 50287, 55082, 51224, 50805, 51553, 50805, 53653, 50889, 53438, 50889, 52939, 50889, 53375, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51553, 50889, 53342, 50889, 52619, 50889, 51908, 50889, 54237, 54243, 63812, 71470, 50889, 51553, 50889, 53342, 50889, 51666, 50889, 54237, 55112, 63812, 53912, 51224, 50889, 51553, 50889, 53342, 50889, 51666, 50889, 54237, 55480, 50756, 50289, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 53342, 50889, 52330, 50889, 54399, 50889, 54237, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51553, 50889, 57027, 50889, 52330, 50889, 54399, 54243, 50756, 50287, 71470, 50889, 51553, 50889, 57027, 50889, 52619, 50889, 51908, 50889, 54399, 55112, 50756, 50287, 53912, 51224, 50889, 51553, 50889, 57027, 50889, 53342, 50889, 51666, 50889, 54399, 55480, 50756, 50284, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 52330, 50889, 54399, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 51077, 51994, 51077, 51871, 51077, 53375, 67297, 62967, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 62967, 53912, 51224, 52476, 50579, 50808, 53653, 50889, 51994, 50889, 51871, 50889, 53375, 67480, 51224, 52476, 50579, 52711, 50756, 50287, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53653, 50889, 51873, 50889, 52368, 50889, 53375, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51553, 50889, 57027, 50889, 52330, 50889, 54399, 54243, 50756, 50287, 71470, 50889, 51553, 50889, 57027, 50889, 52619, 50889, 51908, 50889, 54399, 55112, 50756, 50287, 53912, 51224, 50889, 51553, 50889, 57027, 50889, 53342, 50889, 51666, 50889, 54399, 55480, 50756, 50282, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 52330, 50889, 54399, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51553, 50889, 53653, 50889, 51531, 50889, 53375, 54243, 62967, 71470, 50889, 51553, 50889, 57027, 50889, 53653, 50889, 52330, 50889, 54399, 50889, 53375, 55112, 50756, 50289, 53912, 51224, 50889, 51553, 50889, 53653, 50889, 51873, 50889, 52368, 50889, 53375, 55480, 50756, 50289, 55082, 51224, 50805, 51553, 50805, 53653, 50889, 51994, 50889, 51871, 50889, 53375, 55069, 56596, 71470, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 51077, 51873, 51077, 54237, 51623, 50426, 63812, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 63812, 53912, 51224, 52476, 50579, 50808, 53342, 50805, 51873, 60132, 51224, 52476, 50579, 52711, 50756, 50289, 50889, 51224, 52476, 50579, 50808, 53342, 50805, 52330, 50805, 54237, 59414, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53653, 50889, 51873, 50889, 53375, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 51077, 51994, 51077, 54399, 67297, 50756, 50287, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 55112, 62967, 53912, 51224, 52476, 50579, 50808, 51994, 50805, 52330, 60132, 51224, 52476, 50579, 52711, 62967, 50889, 51224, 52476, 50579, 50808, 51873, 50805, 51531, 59414, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 51873, 50805, 51531, 52961, 55338, 59571, 72575, 50805, 52060, 50805, 51994, 50805, 52330, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 51077, 51994, 67297, 50756, 50287, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 50756, 50287, 53912 ]
[ 0, 713, 17627, 17274, 3495, 3152, 2214, 16, 686, 7, 342, 10, 6675, 15, 110, 652, 19, 63, 1372, 8, 33558, 16464, 4, 20, 13305, 8, 2382, 3459, 8669, 483, 5, 33301, 6, 2800, 30, 5, 12989, 2810, 9, 21072, 8, 31391, 1672, 9590, 6, 19, 5, 326, 5638, 18026, 1271, 10, 2216, 2842, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 20902, 12447, 1001, 20889, 6, 42, 765, 53, 4045, 8859, 1575, 10, 33215, 16739, 9, 230, 6, 211, 119, 6, 272, 406, 6, 8, 274, 73, 534, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 71412, 51030, 52394, 50860, 51280, 51790, 51144, 51790, 51119, 51790, 51132, 51091, 60211, 52054, 52871, 52194, 50880, 52394, 51864, 54252, 52194, 50930, 52394, 52329, 52194, 50936, 52394, 51030, 74627, 52194, 50893, 52394, 50879, 51132, 53097, 70015, 51132, 51091, 59159, 52194, 50865, 52394, 51138, 51876, 51242, 57491, 52194, 50936, 52394, 50938, 51280, 51221, 51144, 51221, 51119, 51221, 63904, 52194, 50936, 52394, 51138, 51132, 50862, 51892, 50799, 54006, 50980, 53580, 50980, 51280, 50978, 51144, 50978, 51119, 50978, 51132, 51091, 64112, 51280, 50942, 51144, 50942, 51119, 50942, 56889, 54006, 50924, 53580, 50948, 74627, 54006, 50806, 53580, 50893, 51280, 51183, 51144, 51183, 51119, 51183, 51132, 53959, 51373, 53614, 51132, 51364, 59159, 54006, 50924, 53580, 50948, 57491, 54006, 51030, 53580, 50936, 71682, 54403, 54006, 50948, 53580, 51138, 51132, 53704, 56558, 50810, 73230, 50938, 52228, 51138, 51280, 51452, 51144, 51452, 51119, 51452, 51132, 50983, 64112, 52488, 50887, 52228, 50962, 78169, 52488, 50880, 52228, 56667, 52488, 51030, 52228, 50924, 74627, 52488, 50806, 52228, 50806, 51132, 53959, 70015, 51132, 51204, 59159, 52488, 50936, 52228, 51030, 51876, 50892, 57491, 52488, 50865, 52228, 51030, 51280, 50873, 74043, 51119, 50873, 63904, 52488, 50936, 52228, 50865, 51132, 50854, 51892, 50799, 52178, 51761, 52194, 51274, 53459, 51274, 53628, 51274, 52394, 51761, 51979, 51552, 51280, 51538, 51144, 51538, 51119, 51538, 51132, 51294, 55032, 56911, 65250, 53917, 51132, 53933, 70015, 52194, 50936, 52394, 50948, 51132, 51364, 57986, 55701, 53012, 53743, 52194, 51030, 52394, 50865, 51144, 51753, 50804, 50812, 52612, 53140, 52148, 50936, 53880, 51030, 51119, 51481, 51224, 55874, 51224, 52863, 51866, 52500, 54512, 52500, 51132, 50379, 53120, 52567, 51224, 50810, 61310, 51218, 51099, 51218, 51308, 51218, 51137, 51204, 60211, 52054, 64540, 52921, 51083, 51090, 51061, 51090, 74627, 51869, 51101, 51137, 53530, 70015, 51198, 51178, 51099, 51178, 51308, 51178, 51137, 51191, 55159, 51180, 53140, 51083, 50896, 51061, 50896, 51198, 50830, 79091, 51308, 50830, 63904, 51137, 50925, 51892, 54920, 50983, 64112, 51232, 50977, 51099, 50977, 51308, 50977, 51153, 50977, 56889, 51866, 50936, 54512, 50936, 51557, 50980, 51089, 51112, 74627, 51866, 50924, 54512, 50948, 51964, 51328, 51416, 53097, 51373, 53614, 51866, 51138, 54512, 50865, 51557, 51603, 51089, 51345, 51232, 51101, 51099, 51101, 51308, 51101, 51153, 51101, 51416, 50983, 59159, 51866, 50936, 54512, 50938, 57491, 51702, 50924, 56478, 50924, 51557, 50896, 51083, 51054, 51232, 50942, 51099, 50942, 51308, 50942, 51153, 50942, 71682, 54403, 51866, 50936, 54512, 50936, 51416, 50952, 66871, 50810, 50799, 52148, 55362, 53880, 56769, 51280, 51790, 51144, 51790, 51119, 51790, 51132, 51091, 55032, 71731, 68072, 51282, 50896, 51118, 50896, 51061, 50896, 74627, 51132, 53097, 70015, 51132, 51091, 55159, 51180, 53140, 51282, 50896, 51118, 50896, 51061, 51016, 51280, 51221, 51144, 51221, 51119, 51221, 63904, 51132, 50862, 51892, 60506, 50851, 52894, 51091, 64112, 51280, 50866, 51144, 50866, 51119, 50866, 56889, 51282, 51013, 51118, 51090, 51061, 51090, 74627, 51132, 53959, 51373, 52729, 52194, 51021, 52394, 51021, 51280, 51189, 51144, 51189, 51119, 51189, 51132, 51364, 59159, 52194, 50936, 52394, 50936, 57491, 52148, 50938, 53880, 50865, 71682, 54403, 51866, 54055, 54512, 52500, 51640, 53704, 61382, 61310, 51307, 51099, 51307, 51308, 51307, 51137, 51204, 55032, 71731, 68072, 51557, 51013, 51083, 51090, 74627, 51137, 53530, 70015, 51137, 51191, 55159, 51180, 53140, 51557, 50896, 51083, 51016, 63904, 51137, 50925, 51892, 65100, 51307, 51099, 51307, 51308, 51307, 51153, 51307, 51416, 51204, 55032, 68072, 51866, 51138, 54512, 50948, 51557, 50980, 51089, 51500, 74627, 51866, 51030, 54512, 50938, 51416, 53530, 51373, 52729, 51866, 51030, 54512, 50924, 51557, 51345, 51089, 51345, 51416, 51191, 59159, 51866, 51030, 54512, 51030, 57491, 51702, 50948, 56478, 50936, 51557, 51013, 51083, 51054, 71682, 54403, 51866, 50936, 54512, 51030, 51416, 50925, 57452, 50799, 52148, 51696, 53880, 51469, 51280, 51675, 51144, 51675, 51119, 51675, 51132, 50983, 55032, 71731, 68072, 51282, 50807, 51118, 51090, 51061, 51016, 74627, 51132, 53097, 70015, 51144, 51212, 51132, 50983, 59159, 51119, 50905, 57491, 51282, 50889, 51118, 51054, 51061, 51237, 51153, 50845, 63904, 51435, 50809, 51132, 50952, 51892, 70527, 50925, 51144, 50925, 51119, 50925, 51153, 50925, 51132, 51294, 64112, 51561, 50854, 79633, 72157, 67399, 51892, 51510, 52654, 51702, 50980, 56478, 51500, 51118, 51227, 51341, 50980, 51061, 51603, 50804, 52227, 53917, 51561, 51295, 51144, 51295, 51119, 51295, 51153, 51295, 51132, 53530, 64817, 51724, 51866, 51345, 54512, 50980, 51118, 51500, 51341, 51603, 51020, 51112, 51132, 63524, 62691, 51820, 51224, 51757, 52148, 51345, 53880, 51112, 51118, 50980, 51341, 51603, 51023, 51603, 50791, 56234, 51754, 51132, 50910, 51289, 51049, 50822, 73230, 50936, 52228, 73561, 51077, 51198, 51675, 51144, 51675, 51308, 51675, 51526, 51362, 60211, 52054, 52871, 52488, 52500, 52228, 53241, 51892, 65250, 51628, 51526, 50830, 66921, 51308, 51212, 51132, 50943, 59159, 51083, 63566, 50911, 51193, 51012, 51275, 50905, 57491, 51435, 50845, 51526, 51178, 63904, 51083, 51012, 51061, 51012, 51193, 50805, 51948, 52773, 61382, 61310, 50925, 51494, 50925, 51308, 50925, 51526, 51091, 64112, 51198, 50854, 51494, 50854, 80166, 56889, 52488, 50936, 52228, 51021, 71830, 51193, 51030, 51185, 51030, 70064, 52488, 50936, 52228, 73561, 50936, 51193, 50948, 51185, 50936, 51198, 51295, 51494, 51295, 51308, 51295, 51526, 50849, 52636, 51724, 52488, 50924, 52228, 50865, 51083, 51030, 51193, 50936, 51185, 50948, 51132, 51241, 59159, 52488, 50924, 52228, 50936, 71830, 51193, 51030, 51185, 50865, 52506, 53140, 52488, 50936, 52228, 50924, 51083, 50948, 51193, 50948, 51185, 50948, 63904, 52194, 51745, 52394, 51362, 51083, 51226, 51020, 51541, 51092, 51226, 51132, 50901, 57452, 62673, 50925, 51099, 50925, 51308, 50925, 51275, 50925, 51526, 51362, 52506, 55446, 79633, 67767, 80166, 51275, 50854, 56889, 52178, 51358, 53628, 51685, 51083, 51237, 51020, 51016, 70064, 51144, 51295, 51099, 51295, 51308, 51295, 51275, 51295, 51526, 50830, 57870, 51556, 52729, 51132, 50943, 59159, 51083, 50911, 68865, 57491, 51526, 51178, 63904, 51083, 50879, 51020, 50911, 57452, 73230, 51496, 52228, 51274, 51144, 50925, 51512, 50925, 51308, 50925, 51275, 50925, 51526, 51091, 64112, 71830, 79633, 51512, 50854, 80166, 51275, 50854, 56889, 51061, 50936, 70064, 51193, 50948, 51144, 51295, 51512, 51295, 51308, 51295, 51275, 51295, 51526, 50849, 52636, 51724, 52488, 51345, 52228, 50980, 51061, 51500, 51185, 51345, 51132, 51241, 59159, 52506, 53140, 52488, 51112, 52228, 50980, 51061, 51054, 51185, 50889, 63904, 51132, 50901, 57452, 50799, 52178, 51227, 53628, 51500, 51308, 52335, 51639, 51353, 51516, 51293, 51533, 51191, 52506, 50882, 68072, 52178, 51264, 53628, 51469, 51557, 51274, 51341, 51496, 51020, 50983, 70064, 51533, 50937, 57870, 55511, 51362, 55159, 51180, 53140, 51557, 51237, 51341, 51016, 51020, 51016, 63904, 52746, 51148, 51526, 52773, 61382, 68407, 50822, 51639, 50854, 51516, 50942, 51533, 51294 ]
[ 0, 250, 765, 37903, 9, 15352, 30054, 3495, 930, 19, 10, 7212, 20889, 6, 278, 11, 5, 762, 9, 272, 538, 8, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 272, 6, 230, 6, 3676, 406, 6, 230, 6, 8, 211, 406, 73, 597, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 55895, 60424, 57631, 58835, 55069, 51086, 50805, 56310, 57449, 59460, 58835, 55385, 51086, 52483, 50861, 62530, 68368, 58835, 55112, 50877, 52446, 50899, 67860, 66154, 61471, 55480, 50861, 52596, 51027, 60424, 59460, 58835, 55069, 61795, 54852, 69769, 58835, 62931, 55385, 50871, 52483, 50876, 50805, 51085, 68368, 65934, 55112, 50906, 52446, 51050, 51077, 50900, 74114, 51077, 50931, 51077, 54960, 61552, 72136, 59460, 55385, 50902, 59879, 52483, 51026, 58419, 66950, 65934, 53912, 50931, 69769, 58835, 78599, 55480, 50968, 52596, 50951, 50805, 51324, 57631, 61471, 55069, 50931, 50805, 53997, 56472, 66950, 57631, 67729, 51315, 52483, 51026, 66154, 61471, 55112, 50871, 52446, 51085, 68368, 57631, 58835, 55082, 50861, 50805, 51315, 70156, 58835, 55069, 50877, 50805, 54868, 62525, 66154, 62931, 54243, 51085, 55143, 61552, 56472, 55112, 51120, 57449, 59879, 52446, 51315, 60424, 56472, 65934, 55480, 51050, 62530, 52596, 51026, 58654, 55143, 61471, 55069, 51050, 56876, 50805, 57551, 55143, 56472, 55143, 55385, 51085, 60424, 58654, 52483, 50899, 50805, 51120, 68036, 59460, 55112, 50900, 52446, 51026, 51608, 50303, 62525, 57631, 55082, 61795, 68246, 57631, 55069, 51027, 62530, 50805, 57542, 57260, 55143, 61471, 50889, 53502, 60424, 52483, 50899, 62159, 62159, 61471, 55112, 51378, 56876, 52446, 51026, 55143, 66154, 61471, 55480, 51050, 52596, 51315, 57631, 58835, 66950, 50889, 54868, 56876, 58050, 59879, 52864, 51315, 55143, 61552, 56472, 54243, 51050, 56876, 58050, 55112, 51026, 58654, 55143, 53912, 51027, 56876, 56472, 52815, 51086, 57449, 58050, 58050, 52596, 50916, 62530, 58835, 66950, 55069, 50871, 50805, 54955, 51077, 79721, 50973, 51077, 50902, 61086, 51315, 55143, 55143, 58835, 55480, 51120, 56876, 52596, 51085, 68368, 58419, 58835, 50889, 54197, 62530, 59460, 58835, 51077, 56945, 53184, 51026, 52450, 51050, 57449, 59460, 55112, 51247, 52446, 51085, 51077, 50916, 51077, 79721, 50876, 51077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 33558, 5175, 1349, 6, 30291, 19, 4785, 9, 3495, 6, 16, 10, 765, 53, 4045, 15229, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 5, 2216, 4069, 9, 2020, 3548, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 5, 2214, 25935, 1626, 227, 5, 40286, 9, 274, 8, 163, 428, 6, 2351, 10, 33928, 8, 15352, 30054, 5466, 14, 18, 157, 12, 9228, 4560, 13, 2365, 50, 4579, 38270, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50791, 64969, 51544, 55316, 50886, 51570, 64757, 52320, 55316, 50886, 50799, 52146, 50812, 53937, 50978, 52006, 51053, 72957, 50373, 52526, 50864, 51390, 50812, 52000, 50978, 50418, 52146, 50829, 51390, 53203, 52162, 50851, 52131, 50907, 52146, 57837, 55316, 50886, 51322, 50851, 51256, 50907, 51390, 50977, 51510, 55316, 53935, 52391, 50866, 59235, 56029, 53345, 54218, 54218, 50840, 74747, 52286, 54150, 52162, 50822, 52391, 50977, 52131, 50851, 52470, 52470, 51322, 50822, 51408, 50977, 51256, 50851, 51556, 55316, 53980, 52146, 50917, 53937, 55503, 53345, 50840, 51390, 50917, 52000, 54758, 52162, 50874, 52146, 50813, 52131, 50984, 52470, 52470, 51322, 50874, 51390, 50813, 51256, 60979, 52146, 50827, 52470, 52470, 51390, 52989, 59235, 50851, 52879, 68108, 52773, 52467, 54218, 50840, 52286, 50851, 51893, 62214, 52162, 50822, 52131, 50851, 52470, 52470, 51322, 50822, 51256, 50851, 51621, 55316, 50886, 50799, 59235, 50959, 51891, 60175, 52773, 50809, 52286, 50959, 51334, 59771, 52344, 50874, 52131, 50851, 51891, 51559, 64757, 51451, 50874, 51256, 50851, 51334, 53910, 51891, 55316, 55316, 50886, 51334, 53935, 59235, 50827, 51997, 50866, 52006, 51053, 54218, 54218, 50840, 52286, 50827, 51229, 53961, 52344, 50827, 52131, 50827, 51997, 55325, 55316, 50886, 51451, 50827, 51256, 50827, 51229, 50866, 51556, 64757, 50438, 59235, 50874, 51891, 60175, 52773, 50809, 52286, 50874, 51334, 59352, 52344, 50904, 52131, 51126, 51891, 51559, 55316, 50886, 51451, 50904, 51256, 51126, 51334, 54417, 51891, 55316, 55316, 50886, 51334, 54105, 59235, 51142, 53457, 51363, 52006, 51053, 54218, 52467, 50809, 52286, 51142, 52031, 71834, 52344, 50822, 52131, 50827, 52470, 52470, 51451, 50822, 51256, 50827, 51621, 64757, 50799, 53937, 50810, 52146, 50925, 52006, 51053, 50840, 52000, 50810, 51390, 50925, 50419, 52146, 50834, 51390, 53403, 52162, 50851, 52131, 50984, 52146, 54042, 55316, 50886, 51322, 50851, 51256, 50984, 51390, 50901, 51510, 55316, 53935, 59235, 50874, 52391, 50987, 52006, 51053, 54218, 54218, 50840, 52286, 50874, 51408, 60539, 52162, 50844, 52131, 50827, 52391, 50977, 52470, 52470, 51322, 50844, 51256, 50827, 51408, 50977, 51556, 64757, 50438, 53937, 50822, 52146, 58493, 52773, 50809, 52000, 50822, 51390, 59187, 52162, 50827, 52146, 50813, 52131, 55918, 55316, 50886, 51322, 50827, 51390, 50813, 51256, 60979, 52146, 50886, 52470, 52470, 51390, 54105, 59235, 50827, 52879, 51312, 52006, 51053, 54218, 54218, 50840, 52286, 50827, 51893, 51312, 50456, 52162, 50822, 52131, 50912, 52470, 52470, 51322, 50822, 51256, 50912, 51621, 55316, 50886, 50799, 59235, 50878, 51891, 50845, 52006, 51053, 50840, 52286, 50878, 51334, 54644, 52146, 54447, 55316, 50886, 51390, 56174, 53457, 50844, 52470, 52470, 52031, 53450, 52146, 58493, 52773, 52467, 54218, 50840, 51390, 56504, 53476, 50907, 52344, 50874, 52131, 50827, 51891, 57837, 55316, 50886, 51664, 50907, 51451, 50874, 51256, 50827, 51334, 50977, 51556, 55316, 53980, 53937, 50822, 52391, 54312, 53345, 50840, 52000, 50822, 51408, 50854, 51180, 64757, 51618, 55316, 54105, 53937, 50827, 52162, 50827, 52391, 50866, 52131, 54352, 53345, 54218, 54218, 50840, 52000, 50827, 51322, 50827, 74747, 51256, 53176, 50804, 55924, 55316, 55316, 50886, 52198, 54597, 50862, 52470, 52470, 50799, 53937, 50864, 52146, 54355, 53345, 50840, 52000, 50864, 51390, 59240, 52146, 50857, 51390, 54657, 52162, 50912, 52131, 50984, 52146, 50892, 52470, 52470, 51322, 50912, 51256, 50984, 51390, 50892, 51510, 55316, 53935, 52391, 51058, 59235, 56029, 53345, 54218, 54218, 50840, 51408, 51058, 52286, 54150, 52162, 50874, 52391, 50987, 52131, 53156, 55316, 50886, 51322, 50874, 51408, 50987, 51256, 50851, 51556, 55316, 53980, 53937, 50827, 52146, 50857, 52391, 55503, 53345, 50840, 52000, 50827, 51390, 50857, 51408, 59356, 52391, 51000, 52146, 50813, 51408, 51000, 51390, 53524, 52162, 50904, 52131, 50971, 52391, 50886, 52146, 57837, 55316, 50886, 51322, 50904, 51256, 50971, 51408, 50886, 51390, 50977, 51618, 55316, 54105, 59235, 50912, 52391, 50974, 52146, 50892, 52879, 51312, 52006, 51053, 54218, 54218, 50840, 52286, 50912, 51408, 50974, 51390, 50892, 51893, 51312, 50456, 52162, 50822, 52131, 50827, 52470, 52470, 51322, 50822, 51256, 50827, 51621, 64757, 50799, 59235, 50822, 51891, 50886, 51997, 55642, 53345, 50840, 52286, 50822, 51334, 50886, 51229, 59834, 51997, 50904, 51891, 50864, 51229, 50904, 51334, 54202, 52344, 50827, 52131, 50827, 51997, 50874, 51891, 50866, 52470, 52470, 51451, 50827, 51256, 50827, 51229, 50874, 51334, 50866, 51510, 64757, 50426, 53476, 50851, 51997, 50977, 52006, 51053, 54218, 54218, 50840, 51664, 50851, 51229, 58672, 52344, 50874, 52131, 50851, 51997, 50866, 52470, 52470, 51451, 50874, 51256, 50851, 51229, 50866, 51556, 64757, 50438, 59235, 50851, 51997, 50886, 51891, 54036, 52773, 50809, 52286, 50851, 51229, 50886, 51334, 59138, 75938, 51891, 50864, 51229, 50864, 51334, 54394, 52344, 50827, 52131, 50912, 51997, 51058, 51891, 50866, 52470, 52470, 51451, 50827, 51256, 50912, 51229, 51058, 51334, 50866, 51618, 64757, 50450, 53476, 50827, 51891, 50905, 53457, 51253, 50801, 52773, 52467, 54218, 50840, 51664, 50827, 51334, 50905, 52031, 51253, 50456, 52344, 50874, 52131, 53156, 55316, 50886, 51451, 50874, 51256, 50851, 51621, 55316, 50886, 50799, 53937, 50827, 52391, 50886, 52146, 53959, 52773, 50809, 52000, 50827, 51408, 50886, 51390, 59196, 52391, 50971, 52146, 50867, 51408, 50971, 51390, 55105, 52162, 51210, 52131, 51470, 52391, 51006, 52146, 54068, 55316, 50886, 51322, 51210, 51256, 51470, 51408, 51006, 51390, 50873, 51510, 55316, 53935, 59235, 50912, 52391, 55675, 52773, 52467, 54218, 50840, 52286, 50912, 51408, 53961, 52162, 50822, 52131, 50851, 52391, 50977, 52470, 52470, 51322, 50822, 51256, 50851, 51408, 50977, 51556, 55316, 53980, 53937, 50827, 52391, 50867, 52146, 53959, 53345, 50840, 52000, 50827, 51408, 50867, 51390, 58037, 52391, 51128, 52146, 50886, 51408, 51128, 51390, 54758, 52162, 50874, 52131, 50851, 52391, 51166, 52146, 50901, 52470, 52470, 51322, 50874, 51256, 50851, 51408, 51166, 51390, 50901, 51618, 55316, 54105, 53937, 50874, 52879, 50915, 52006, 51053, 54218, 52467, 50809, 52000, 50874, 51893, 50915, 50451, 52391, 50978, 51408, 63044, 52162, 50822, 52131, 50851, 52470, 52470, 51322, 50822, 51256, 50851, 51621, 55316, 50886, 50799, 59235, 50827, 53476, 50827, 52344, 50827, 52131, 50851, 51997, 50827, 51891, 50987, 52006, 51053, 50840, 52286, 50827, 51664, 50827, 51451, 50827, 51256, 50851, 51229, 50827, 51334, 61062, 52146, 55316, 55316, 50886, 51390, 56037, 53457, 50827, 52470, 52470, 52031, 52580, 52146, 50873, 52006, 51053, 54218, 52467, 50809, 51390, 54259, 52344, 50827, 52131, 50907, 51891, 55325, 55316, 50886, 51451, 50827, 51256, 50907, 51334, 50866, 51556, 64757, 50438, 53937, 50844, 52162, 50874, 52131, 50874, 52391, 55944, 52773, 50809, 52000, 50844, 51322, 50874, 51256, 50874, 51408, 50845, 51180, 64757, 51618, 64757, 50450, 53937, 50810, 52162, 50822, 52131, 50822, 52391, 51194, 52006, 51053, 54218, 54218, 50840, 52000, 50810, 51322, 50822, 51256, 50822, 51408, 51194, 53061, 60705, 51126, 51453, 50864, 51287, 53120, 74072, 50840, 51621, 50886, 52029, 53183, 50380, 53183, 50836, 50799, 53560 ]
[ 0, 250, 765, 6, 20425, 15855, 13305, 37903, 11, 272, 10431, 3694, 19, 10, 748, 1879, 15525, 20889, 6, 4246, 10, 15352, 30054, 648, 2933, 6328, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 6, 7630, 14805, 258, 11098, 8, 10603, 149, 63, 2060, 119, 406, 6, 83, 6, 230, 10431, 6, 8, 163, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 51324, 51455, 50330, 54644, 51086, 58861, 51399, 53172, 51324, 53387, 51086, 51455, 50330, 53264, 51360, 51455, 50332, 53999, 51040, 59956, 51146, 53562, 51360, 53586, 51040, 51455, 50332, 50845, 54868, 51455, 50334, 50845, 54569, 58861, 50999, 53172, 51120, 53387, 50899, 64510, 53264, 51120, 53999, 50899, 53562, 51120, 51455, 50334, 53586, 50899, 51455, 50336, 50845, 59130, 51455, 50337, 54644, 50989, 58861, 51399, 53172, 51378, 53387, 50989, 51455, 50336, 53264, 51378, 51455, 50337, 53999, 50989, 59956, 51399, 53562, 51378, 53586, 50989, 51455, 50337, 50845, 57551, 51455, 50336, 54644, 50916, 58861, 51220, 53172, 51315, 53387, 50916, 74908, 53264, 51315, 53999, 50916, 51455, 50336, 53562, 51315, 51455, 50334, 53586, 50916, 51455, 50332, 50845, 58066, 51455, 50330, 54644, 51086, 58861, 51399, 53172, 51324, 53387, 51086, 51455, 50330, 53264, 51360, 51455, 50332, 53999, 51040, 59956, 51146, 53562, 51360, 53586, 51040, 51455, 50332, 50845, 54868, 51455, 50334, 50845, 54569, 58861, 50999, 53172, 51120, 53387, 50899, 64510, 53264, 51120, 53999, 50899, 53562, 51120, 51455, 50334, 53586, 50899, 51455, 50336, 50845, 59130, 51455, 50337, 54644, 50989, 58861, 51399, 53172, 51378, 53387, 50989, 51455, 50336, 53264, 51378, 51455, 50337, 53999, 50989, 59956, 51399, 53562, 51378, 53586, 50989, 51455, 50341, 50845, 57551, 51455, 50339, 54644, 50916, 58861, 52128, 53172, 51315, 53387, 50916, 51455, 50336, 53264, 51315, 53999, 50916, 53562, 51315, 51455, 50336, 53586, 50916, 51455, 50332, 50845, 76501, 52128, 53586, 51787, 50845, 57497, 51455, 50332, 54644, 51040, 58861, 51405, 53172, 51360, 53387, 51040, 51455, 50332, 53264, 51197, 51455, 50334, 53999, 50956, 59956, 51430, 53562, 51197, 53586, 50956, 51455, 50334, 50845, 57551, 51455, 50336, 54644, 50916, 58861, 51220, 53172, 51315, 53387, 50916, 74908, 53264, 51315, 53999, 50916, 51455, 50332, 53562, 51378, 51455, 50336, 53586, 50989, 51455, 50338, 50845, 58526, 51455, 50339, 54644, 50965, 58861, 51405, 53172, 51176, 53387, 50965, 51455, 50338, 53264, 51176, 51455, 50339, 53999, 50965, 59956, 51405, 53562, 51176, 53586, 50965, 51455, 50339, 50845, 59130, 51455, 50338, 54644, 50989, 58861, 51399, 53172, 51378, 53387, 50989, 51455, 50329, 53264, 51378, 53999, 50989, 51455, 50338, 53562, 51378, 51455, 50336, 53586, 50989, 51455, 50334, 50845, 57497, 51455, 50332, 54644, 51040, 58861, 51405, 53172, 51360, 53387, 51040, 51455, 50332, 53264, 51197, 51455, 50334, 53999, 50956, 59956, 51430, 53562, 51197, 53586, 50956, 51455, 50334, 50845, 57551, 51455, 50336, 54644, 50916, 58861, 51220, 53172, 51315, 53387, 50916, 74908, 53264, 51315, 53999, 50916, 51455, 50336, 53562, 51378, 51455, 50339, 53586, 50989, 51455, 50341, 50845, 58526, 51455, 50343, 54644, 50965, 58861, 53117, 53172, 51176, 53387, 50965, 51455, 50341, 53264, 51176, 51455, 50343, 53999, 50965, 59956, 53117, 53562, 51176, 53586, 50965, 51455, 50343, 50845, 59130, 51455, 50341, 54644, 50989, 58861, 52052, 53172, 51378, 53387, 50989, 51455, 50338, 53264, 51378, 53999, 50989, 53562, 51378, 51455, 50338, 53586, 50989, 51455, 50334, 50845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 3495, 2214, 19, 10, 19834, 619, 6, 4246, 10, 11739, 9, 13305, 6, 3459, 8669, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 326, 5638, 18026, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 4, 20, 16331, 33215, 16739, 9, 274, 6, 163, 428, 6, 12608, 6, 8, 163, 428, 4620, 5, 46336, 24456, 4, 590, 63, 14899, 8, 33558, 6711, 6, 42, 2125, 7630, 6568, 10, 1472, 9, 11098, 6, 442, 24, 10686, 13, 2365, 50, 1619, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 55881, 76455, 50936, 52191, 50924, 51436, 50936, 51533, 66128, 51197, 53936, 50302, 51021, 52191, 51138, 51436, 60445, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 57611, 51197, 52545, 50302, 51030, 52191, 50948, 51436, 51030, 51533, 52841, 51197, 51919, 50302, 50924, 52191, 50936, 51436, 50924, 51533, 54207, 51197, 79658, 51030, 52191, 50865, 51436, 51030, 51533, 58647, 51197, 52014, 50302, 50936, 52191, 50938, 51436, 57973, 51197, 52545, 50302, 50936, 52191, 50948, 51436, 50936, 51533, 50840, 55881, 53318, 50302, 50938, 52191, 51021, 51436, 50938, 51533, 51241, 50420, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 57327, 51197, 52545, 50302, 50865, 52191, 50948, 51436, 54725, 51197, 52545, 50302, 50948, 52191, 50948, 51436, 50948, 51533, 54431, 51197, 51919, 50302, 51021, 52191, 50936, 51436, 51021, 51533, 72758, 51197, 51919, 50302, 51021, 52191, 50936, 51436, 60919, 51197, 51919, 50302, 51030, 52191, 50936, 51436, 63109, 51197, 53936, 50302, 50948, 52191, 51138, 51436, 50948, 51533, 50859, 55881, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 66128, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 57327, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 57611, 51197, 76455, 50936, 52191, 50924, 51436, 50936, 51533, 53574, 51360, 51919, 50300, 51138, 52899, 50936, 52007, 51138, 51533, 64966, 51360, 52545, 50300, 50924, 52899, 50948, 52007, 58138, 51360, 51919, 50300, 50948, 52899, 50936, 52007, 59465, 51360, 51919, 50300, 50936, 52899, 50936, 52007, 50936, 51533, 50887, 55881, 52545, 50302, 51138, 52191, 50948, 51436, 51138, 51533, 66128, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 57327, 51197, 52545, 50302, 50936, 52191, 50948, 51436, 57611, 51197, 51919, 50302, 51030, 52191, 50936, 51436, 51030, 51533, 52444, 51197, 53751, 50302, 50896, 52191, 51237, 51436, 50896, 51533, 63419, 52194, 50936, 52380, 57973, 51866, 50936, 51979, 50936, 51533, 50890, 50799, 52178, 52282, 52436, 52282, 51197, 51919, 50302, 50936, 51561, 51714, 51099, 51655, 51308, 51264, 52191, 50936, 51436, 50936, 51533, 50983, 60211, 52054, 52871, 51197, 53275, 50302, 50924, 52191, 51030, 51436, 50924, 56889, 51197, 52545, 50302, 51030, 52191, 50948, 51436, 51030, 74627, 51197, 79658, 51138, 52191, 50865, 51436, 51138, 51533, 53959, 70015, 51197, 51919, 50302, 50948, 52191, 50936, 51436, 50948, 51533, 51204, 59159, 51197, 52545, 50302, 50936, 52191, 50948, 51436, 50936, 57491, 52194, 51021, 52380, 53318, 50295, 53318, 50302, 50948, 52191, 51021, 51436, 50948, 63904, 52178, 50865, 52436, 51828, 50295, 53318, 50302, 51021, 52746, 51103, 52191, 51021, 51436, 51021, 51533, 50854, 51892, 50799, 53397, 50936, 53786, 51919, 50295, 52545, 50302, 50936, 51561, 50812, 51099, 50859, 51308, 50952, 52191, 50948, 51436, 50936, 51533, 51294, 64112, 53459, 51364, 53610, 51364, 51197, 51919, 50302, 51138, 51561, 50830, 51099, 50858, 51308, 50925, 52191, 50936, 51436, 51138, 56889, 51197, 53275, 50302, 50865, 52191, 51030, 51436, 50865, 74627, 51197, 52545, 50302, 50936, 51561, 50940, 51099, 50952, 51308, 50865, 52191, 50948, 51436, 50936, 51533, 53933, 51373, 52729, 51197, 53936, 50302, 51030, 52191, 51138, 51436, 51030, 51533, 51364, 59159, 53397, 50865, 53786, 51828, 50295, 76455, 50948, 52746, 51286, 52191, 50924, 51436, 50948, 57491, 53397, 50948, 53786, 52545, 50295, 53318, 50302, 51030, 51561, 51030, 51099, 51033, 51308, 50948, 52191, 51021, 51436, 51030, 71682, 54403, 53397, 50865, 53786, 51828, 50295, 51919, 50302, 51138, 52191, 50936, 51436, 51138, 51533, 53933, 61382, 50799, 53397, 50924, 53786, 51710, 50288, 53275, 50295, 50936, 51280, 51343, 51561, 51343, 51512, 51343, 55821, 51030, 52191, 50936, 51602, 51294, 64112, 52194, 51761, 52380, 51761, 51503, 51710, 50295, 51030, 55821, 50924, 52191, 51030, 56889, 51503, 51919, 50295, 50948, 55821, 50936, 52191, 50948, 74627, 51503, 51710, 50295, 50936, 52477, 51060, 55821, 50924, 52191, 50936, 51602, 53530, 70015, 51503, 51919, 50295, 51021, 51280, 51175, 51561, 51175, 51512, 51175, 55821, 50936, 52191, 51021, 51602, 51141, 59159, 53397, 50936, 53786, 51919, 50288, 53275, 50295, 50865, 55821, 51030, 52191, 50865, 57491, 52194, 50948, 52380, 52545, 50288, 53275, 50295, 51030, 51280, 51014, 51561, 51014, 51512, 51014, 55821, 51030, 52191, 51030, 63904, 53397, 51021, 53786, 53318, 50288, 53936, 50295, 51030, 55821, 51138, 52191, 51030, 51602, 50910, 51892, 50799, 52178, 51685, 52436, 51685, 51197, 51919, 50302, 51030, 51561, 51977, 51099, 51977, 51308, 51977, 52191, 50936, 51436, 51030, 51533, 51294, 64112, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 50936, 56889, 51197, 53936, 50302, 50924, 52191, 51138, 51436, 50924, 74627, 51197, 51919, 50302, 51021, 52191, 50936, 51436, 51021, 51533, 53530, 51373, 52729, 51197, 53275, 50302, 51138, 51561, 51111, 52191, 51030, 51436, 51138, 51533, 51141, 59159, 51197, 76455, 50936, 77578, 52191, 50924, 51436, 50936, 57491, 52194, 50924, 52380, 51710, 50295, 51919, 50302, 51021, 75271, 52191, 50936, 51436, 51021, 71682, 54403, 51866, 50938, 51979, 52014, 50295, 53275, 50302, 50936, 51639, 50962, 52191, 51030, 51436, 50936, 51533, 50910, 57452, 50799, 52178, 50865, 52436, 51828, 50295, 51919, 50302, 50936, 51706, 51358, 51561, 51358, 51099, 51358, 52191, 50936, 51436, 50936, 51533, 51091, 55032, 78594, 52178, 51343, 52436, 51343, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 56889, 51197, 53318, 50302, 50865, 52191, 51021, 51436, 50865, 74627, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 53243, 70015, 51197, 51919, 50302, 50938, 52191, 50936, 51436, 50938, 51533, 51091, 59159, 52178, 50948, 52436, 52545, 50295, 52545, 50302, 50924, 52746, 50805, 52191, 50948, 51436, 50924, 57491, 52194, 51138, 52380, 53936, 50295, 51919, 50302, 51030, 51706, 50893, 51561, 50893, 51099, 50893, 52191, 50936, 51436, 51030, 63904, 52178, 50948, 52436, 52545, 50295, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 50887, 51892, 50799, 53397, 50936, 53786, 51919, 50295, 52545, 50302, 50936, 51706, 52266, 51561, 52266, 51099, 52266, 52191, 50948, 51436, 50936, 51533, 51091, 64112, 53459, 50918, 53610, 50918, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 50936, 56889, 51197, 79658, 50936, 52191, 50865, 51436, 50936, 74627, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 52773, 51373, 52729, 51197, 53936, 50302, 50948, 52191, 51138, 51436, 50948, 51533, 51091, 59159, 51197, 51919, 50302, 50865, 51561, 51212, 52191, 50936, 51436, 50865, 57491, 53397, 50924, 53786, 51710, 50295, 52014, 50302, 50936, 51099, 51101, 52191, 50938, 51436, 50936, 71682, 54403, 53397, 51138, 53786, 53936, 50295, 52545, 50302, 51030, 52191, 50948, 51436, 51030, 51533, 54020, 61382, 50799, 53397, 50948, 53786, 52545, 50297, 74824, 50924, 51561, 51977, 51144, 51977, 51119, 51977, 51153, 51977, 51425, 50865, 51223, 50924, 51132, 51204, 64112, 52194, 51196, 52380, 51196, 51050, 77886, 51030, 51425, 50948, 51223, 51030, 56889, 51050, 71327, 50924, 51425, 50936, 51223, 50924, 74627, 51050, 77886, 50865, 51425, 50948, 51223, 50865, 51132, 53530, 70015, 51050, 53936, 50304, 51030, 51144, 51111, 51425, 51138, 51223, 51030, 51132, 51191, 59159, 51050, 53936, 50304, 50924 ]
[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 10, 20535, 2810, 6, 13305, 6, 21072, 6, 18558, 6, 8, 3459, 9590, 6, 2351, 10, 33558, 8, 20425, 2365, 5466, 4, 590, 10, 1769, 20889, 9, 13950, 163, 5683, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 211, 3694, 8, 26584, 1575, 5, 40286, 83, 8, 211, 119, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51570, 53035, 52093, 50799, 52093, 51544, 50828, 52594, 75534, 73957, 50804, 50820, 51450, 53479, 64882, 75534, 74849, 60178, 56150, 64882, 71238, 52210, 50927, 51343, 50446, 56150, 64882, 64549, 52568, 56150, 64882, 71238, 53563, 54961, 50941, 51963, 50941, 52425, 50941, 51888, 50941, 52747, 66585, 52970, 50886, 51913, 50886, 52099, 50886, 52578, 50886, 52366, 57187, 52851, 50813, 51906, 50813, 51888, 50813, 51776, 50813, 53170, 57867, 53152, 50840, 51683, 50840, 52578, 50840, 52002, 50840, 54556, 50840, 71803, 50873, 64483, 51963, 50896, 51648, 50896, 51776, 50896, 52366, 50896, 52991, 50896, 51335, 55202, 60457, 55630, 52100, 56166, 51170, 55795, 53366, 50901, 50953, 59964, 52100, 61141, 55657, 55800, 52002, 50855, 52425, 50855, 52747, 50862, 51683, 50862, 51776, 59548, 57982, 52310, 50813, 52578, 50813, 51906, 50813, 51713, 66796, 51913, 50867, 51888, 56789, 52489, 50864, 52099, 50904, 51963, 50904, 51648, 64408, 53152, 50904, 52425, 50971, 52103, 64463, 51683, 51000, 52851, 51000, 52310, 51126, 52970, 60838, 52785, 50901, 66856, 51906, 51128, 52719, 51128, 51913, 51297, 54961, 78736, 52100, 61141, 52539, 65341, 52489, 51319, 52664, 67490, 51383, 53116, 53366, 50901, 65082, 55865, 51235, 52103, 51460, 51713, 51460, 51383, 55399, 55262, 51383, 53641, 53366, 50901, 65082, 64434, 51238, 52851, 51427, 51888, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 55760, 50901, 62741, 57273, 50879, 52970, 50911, 52099, 63108, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 50799, 56387, 50873, 65557, 59559, 50800, 52719, 50858, 51648, 61757, 53317, 56572, 51170, 54069, 56387, 50873, 50927, 59893, 52100, 58016, 55657, 53087, 51236, 53230, 55760, 50873, 50964, 59893, 51700, 58016, 52539, 55135, 51383, 53116, 56387, 50812, 64319, 66392, 51235, 55912, 51460, 51913, 51460, 50843, 51700, 58016, 55399, 51987, 60464, 51383, 52079, 55186, 55760, 50873, 64584, 50447, 57017, 50991, 52664, 51235, 51683, 51235, 50843, 52240, 58729, 53836, 55254, 56387, 78659, 56593, 52100, 55922, 60715, 50920, 53007, 57279, 50805, 74041, 57273, 50879, 52970, 50911, 52099, 50911, 51240, 53963, 57059, 50920, 54625, 50843, 51700, 51987, 53127, 57962, 50920, 50884, 50799, 56387, 50873, 65557, 59559, 50800, 52719, 50821, 51648, 57802, 60457, 52291, 53843, 52100, 56166, 51170, 55795, 56387, 50873, 50927, 59893, 52100, 61141, 55657, 55800, 51236, 53230, 55760, 50873, 50964, 59893, 52100, 61141, 52539, 57244, 51383, 53116, 56387, 50873, 65557, 64010, 51235, 53152, 51460, 51913, 51460, 52578, 51460, 51383, 55399, 55262, 51383, 53641, 56387, 50849, 59674, 57273, 51238, 52970, 51427, 53152, 51427, 52099, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 52785, 70481, 50923, 57017, 50795, 52664, 50806, 52970, 50806, 51683, 55422, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 71803, 50873, 64483, 59559, 50859, 52719, 50882, 51648, 58462, 53317, 56572, 51170, 54069, 53366, 50849, 50953, 55422, 52100, 58016, 55657, 53087, 59559, 50859, 52719, 50882, 51648, 63973, 53230, 52785, 50849, 68171, 54961, 50904, 51963, 50904, 52425, 50904, 51888, 50904, 52747, 55217, 52942, 51700, 58016, 56565, 52970, 50857, 51913, 50857, 52099, 50857, 52578, 50857, 52366, 56579, 52851, 50836, 51906, 50836, 51888, 50836, 51776, 50836, 53170, 54472, 75534, 73957, 53152, 50887, 51683, 50887, 52578, 50887, 52002, 50887, 54556, 53988, 52600, 53366, 50808, 76894, 51963, 50950, 51648, 50950, 51776, 50950, 52366, 50950, 52991, 50388, 52638, 53589, 53317, 56410, 53756, 53479, 64882, 64676, 74849, 52267, 50927, 51364, 52612, 75534, 50961, 57048, 52725, 53366, 50808, 51963, 50950, 51648, 50950, 51776, 50950, 52366, 50950, 52991, 50388, 52638, 56152, 54749, 53479, 64882, 64676, 74849, 54365, 55399, 52349, 54961, 50941, 51963, 50941, 52425, 50941, 51888, 50941, 52747, 66585, 52970, 50886, 51913, 50886, 52099, 50886, 52578, 50886, 52366, 57187, 52851, 50813, 51906, 50813, 51888, 50813, 51776, 50813, 53170, 57867, 53152, 50840, 51683, 50840, 52578, 50840, 52002, 50840, 54556, 50840, 71803, 50849, 58918, 51963, 50896, 51648, 50896, 51776, 50896, 52366, 50896, 52991, 50896, 51335, 55202, 60457, 55630, 52100, 56166, 51170, 55795, 53366, 50849, 61254, 50843, 52100, 61141, 55657, 55800, 52002, 50855, 52425, 50855, 52747, 50862, 51683, 50862, 51776, 59548, 57982, 52310, 50813, 52578, 50813, 51906, 50813, 51713, 66796, 51913, 50867, 51888, 56789, 52489, 50864, 52099, 50904, 51963, 50904, 51648, 64408, 53152, 50904, 52425, 50971, 52103, 64463, 51683, 51000, 52851, 51000, 52310, 51126, 52970, 60838, 52785, 50849, 68171, 51906, 51128, 52719, 51128, 51913, 51297, 54961, 78736, 52100, 61141, 52539, 65341, 52489, 51319, 52664, 67490, 51383, 53116, 53366, 50901, 64483, 55865, 51235, 52103, 51460, 51713, 51460, 51383, 55399, 55262, 51383, 53641, 53366, 50901, 65082, 64434, 51238, 52851, 51427, 51888, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 55760, 50849, 61499, 57273, 50879, 52970, 50911, 52099, 63108, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 50799, 56387, 50873, 65557, 59559, 50800, 52719, 50858, 51648, 61757, 53317, 56572, 51170, 54069, 56387, 50873, 50927, 59893, 52100, 58016, 55657, 53087, 51236, 53230, 55760, 50849, 50964, 55422, 51700, 58016, 52539, 55135, 51383, 53116, 56387, 50854, 70429, 66392, 51235, 55912, 51460, 51913, 51460, 50843, 51700, 58016, 55399, 51987, 60464, 51383, 52079, 55186, 55760, 50849, 61499, 50447, 57017, 50991, 52664, 51235, 51683, 51235, 50843, 52240, 58729, 53836, 55254, 56387, 50812, 50927, 54429, 52100, 55922, 60715, 50920, 53007, 57279, 50901, 72932, 57273, 50879, 52970, 50911, 52099, 50911, 51240, 53963, 57059, 50920, 54625, 50843, 51700, 51987, 53127, 57962, 50920, 50884, 50799, 56387, 50849, 61485, 59559, 50800, 52719, 50821, 51648, 57802, 60457, 52291, 53843, 52100, 56166, 51170, 55795, 56387, 50849, 50927, 55422, 52100, 61141, 55657, 55800, 51236, 53230, 55760, 68152, 59434, 52100, 61141, 52539, 57244, 51383, 53116, 56387, 50849, 61485, 64010, 51235, 53152, 51460, 51913, 51460, 52578, 51460, 51383, 55399, 55262, 51383, 53641, 56387, 50849, 61485, 57273, 51238, 52970, 51427, 53152, 51427, 52099, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 52785, 70481, 50923, 57017, 50795, 52664, 50806, 52970, 50806, 51683, 55422, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 71803, 50812, 76894, 55282, 50950, 51963, 50950, 51776, 50950, 56582, 50388, 52638, 62394, 69804, 56379, 55222, 74849, 55221, 53366, 50833, 70802, 55282, 50858, 51963, 50858, 51776, 50858, 56582, 70159, 59376, 56581, 57893, 74849, 54446, 53366, 50808, 76894, 55282, 50894, 71737, 73026, 56582, 77900, 59717, 55549, 57893, 74849, 53855, 53366, 50812, 76894, 55282, 50821, 51963, 50821, 51776, 50821, 56582, 59807, 59717, 56581, 60457, 50384, 53746, 54974, 53366, 50812, 68489, 55282, 50882, 51963, 50882, 51776, 50882, 56582, 67372, 58514, 56581, 59658, 50384, 53746, 54483, 53366, 50808, 74511, 55282, 50950, 51963, 50950, 51776, 50950, 56582, 56701, 75534, 73957, 50804, 52600, 53366, 60997, 50950, 55282, 50950, 51963, 50950, 51776, 50950, 56582, 54168, 53479, 64882, 75534, 64494, 58514, 56581, 57893, 50383 ]
[ 0, 250, 765, 15855, 19834, 2125, 14, 7630, 6568, 10, 4845, 119, 27633, 8, 15352, 30054, 6711, 4, 85, 1575, 10, 5921, 3343, 1290, 642, 5255, 6, 13305, 6, 12280, 3275, 1725, 3109, 6, 4401, 757, 3178, 6, 8, 3459, 13305, 6, 70, 816, 561, 11, 20299, 4, 20, 2214, 16, 11, 274, 538, 8, 34, 10, 20889, 9, 5962, 163, 5683, 36, 7083, 4308, 1001, 322, 85, 3905, 10, 33215, 16739, 9, 211, 119, 406, 6, 272, 119, 1176, 406, 6, 211, 119, 406, 6, 8, 272, 401, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51120, 50859, 53368, 50808, 50664, 50285, 59722, 51120, 73888, 51120, 50859, 53059, 62779, 51120, 66086, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 68624, 52631, 61055, 51120, 50859, 50440, 53368, 50808, 50664, 50285, 57152, 53059, 53987, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 77741, 52631, 50808, 51601, 51120, 50859, 50418, 51120, 50859, 53368, 50808, 50664, 50285, 50894, 50421, 51120, 68208, 51120, 50859, 53059, 69004, 51120, 67803, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 55734, 52631, 50910, 50441, 51120, 54811, 53368, 50808, 50664, 50285, 68933, 53059, 63848, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 51809, 52631, 69989, 51120, 73050, 51085, 50859, 53368, 50808, 50664, 50285, 54631, 51085, 58129, 51085, 50859, 53059, 52559, 51085, 56535, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50442, 52631, 62236, 51085, 71977, 53368, 50808, 50664, 50285, 50894, 50455, 53059, 62923, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 52591, 52631, 53184, 51085, 66086, 51085, 50859, 53368, 50808, 50664, 50285, 50894, 50430, 51085, 68484, 51085, 50859, 53059, 63116, 51085, 50859, 50440, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 69389, 52631, 63771, 51085, 59682, 51440, 51003, 56318, 51090, 53368, 50808, 50664, 50285, 54712, 50665, 50287, 57308, 53059, 50808, 52478, 51434, 51003, 55076, 51090, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50424, 52631, 60262, 51085, 67803, 51120, 50859, 52176, 52122, 54999, 52122, 51515, 52069, 57118, 53241, 53368, 50808, 50664, 50285, 68624, 51120, 65582, 51120, 50859, 53059, 50808, 50440, 51120, 54811, 53368, 50910, 50664, 50285, 51014, 50665, 50287, 61208, 52631, 64998, 51120, 67557, 53368, 50808, 50664, 50285, 50894, 51601, 53059, 64997, 51660, 51003, 55906, 51090, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50428, 52631, 52559, 51120, 56535, 51120, 50859, 51515, 51183, 57118, 51551, 53368, 50808, 50664, 50285, 55734, 51120, 61032, 51120, 50859, 53059, 62236, 51120, 71977, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50454, 52631, 61963, 51120, 66879, 51434, 51177, 55076, 51286, 53368, 50808, 50664, 50285, 50894, 53069, 51440, 51177, 56318, 51286, 53059, 52450, 51434, 51177, 55076, 51286, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 79726, 51515, 51177, 57118, 51286, 52631, 63116, 51120, 66905, 51085, 50859, 51964, 52122, 56163, 52122, 51660, 52069, 55906, 53241, 53368, 50808, 50664, 50285, 50894, 50442, 51085, 70292, 51085, 50859, 53059, 63771, 51085, 50859, 50452, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 57308, 52631, 50808, 53997, 59176, 53368, 50808, 50664, 50285, 50894, 50424, 53059, 60133, 51515, 51003, 57118, 51090, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 77451, 52631, 50808, 50440, 51085, 72915, 51085, 50859, 51434, 51183, 55076, 51551, 53368, 50808, 50664, 50285, 69389, 51085, 54721, 51085, 50952, 53059, 79179, 51085, 54418, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 51601, 52631, 63814, 51085, 73888, 51440, 51003, 53489, 51013, 52235, 50943, 53368, 50808, 50664, 50285, 50894, 50428, 53059, 50808, 50664, 50285, 68624, 51434, 51003, 53074, 51013, 51992, 50943, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 58909, 52631, 50808, 50664, 50285, 54952, 51120, 56762, 51120, 50859, 52176, 52122, 54999, 52122, 51515, 51692, 53328, 51933, 51850, 51518, 53368, 50808, 50664, 50285, 68933, 51120, 65601, 51120, 50859, 53059, 63848, 51120, 70886, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 53069, 52631, 64997, 51120, 68208, 53368, 50808, 50664, 50285, 54440, 51434, 50854, 53074, 50859, 51992, 50833, 53059, 53263, 51515, 50854, 53328, 50859, 51850, 65833, 51279, 50859, 51660, 51003, 53385, 51013, 51971, 50943, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 78552, 51085, 50859, 52631, 72724, 51120, 50859, 51515, 51003, 53328, 51013, 51850, 50943, 53368, 50808, 50664, 50285, 50894, 50455, 51120, 67383, 51120, 50859, 53059, 62923, 51120, 50859, 52177, 51614, 51003, 52779, 51013, 51760, 50943, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 57852, 52631, 52450, 51120, 65337, 51434, 51177, 53074, 51158, 51992, 51121, 53368, 50808, 50664, 50285, 79612, 51614, 51177, 52779, 51158, 51760, 51121, 53059, 67157, 51440, 51177, 53489, 51158, 52235, 51121, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 75557, 51614, 51177, 52779, 51158, 51760, 51121, 52631, 72724, 51120, 54418, 51085, 50952, 51964, 52122, 56163, 52122, 51607, 51003, 54122, 51013, 53085, 50943, 53368, 50910, 50664, 50285, 51014, 50459, 51085, 50859, 53997, 50859, 53059, 63814, 51085, 73888, 51440, 51562, 53489, 51472, 52235, 51417, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50427, 52631, 66084, 51085, 68974, 53368, 50808, 50664, 50285, 50894, 50440, 51440, 51177, 53489, 51158, 52235, 51121, 53059, 53668, 51214, 50859, 51607, 51177, 54122, 51158, 53085, 51121, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 56328, 51279, 50859, 51440, 50854, 53489, 50859, 52235, 50833, 52631, 63848, 51607, 50854, 54122, 50859, 53085, 72070, 51085, 50859, 52327, 51177, 57961, 51158, 56176, 51121, 53368, 50808, 50664, 50285, 50894, 51601, 51085, 50859, 50418, 51085, 50859, 52043, 51177, 62133, 51158, 56185, 51121, 53059, 64997, 51085, 68208, 51607, 52069, 54122, 52392, 53085, 51945, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50431, 52631, 53263, 51085, 59646, 53368, 50808, 50664, 50285, 58909, 50665, 50287, 78552, 53059, 66372, 51085, 68523, 51279, 50859, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 67516, 51085, 50859, 52631, 50808, 51809, 51120, 50859, 52176, 52122, 54999, 52122, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 50894, 50419, 51120, 55747, 51120, 50859, 52242, 50854, 52044, 50854, 52342, 50833, 53059, 52450, 51120, 58129, 52049, 50854, 51975, 50854, 52416, 50833, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 79612, 52631, 63038, 51120, 71476, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 75557, 53059, 67230, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50799, 52049, 50942, 51975, 50942, 52416, 50925, 52631, 50910, 50417, 51120, 54681, 51120, 50859, 53368, 50808, 50664, 50285, 50894, 50424, 51120, 66086, 51120, 50859, 52242, 50854, 52044, 50854, 52342, 50833, 53059, 60133, 51120, 68484, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50440, 52049, 50854, 51975, 50854, 52416, 50833, 52631, 67157, 51120, 70292, 53324, 51003, 53634, 51003, 52416, 50943, 53368, 50808, 50664, 50285, 56328, 53059, 50808, 50664, 50285, 54712, 50664, 50285, 57308, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 52478, 52631, 50808, 50664, 50285, 50894, 50421, 51120, 72417, 51085, 50859, 51964, 52122, 56163, 52122, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 50894, 50428, 51085, 67803, 51085, 50859, 52242, 50854, 52044, 50854, 52342, 50833, 53059, 59979, 51085, 65582, 52049, 50854, 51975, 50854, 52416, 50833, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 54952, 52631, 53668, 51085, 68523, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 50894, 50454, 50664, 50285, 74653, 53059, 50808 ]
[ 0, 250, 29475, 8, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 278, 11, 10, 2635, 155, 73, 306, 86, 6543, 4, 20, 13305, 5723, 5, 3722, 2408, 9, 5, 2125, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 5581, 4, 96, 5, 762, 9, 230, 3694, 6, 5, 40286, 163, 428, 8, 12608, 119, 146, 12577, 4961, 6, 1271, 7, 5, 16487, 1943, 5466, 4, 590, 10, 226, 22740, 20889, 6, 42, 2214, 1239, 63, 86, 7, 21815, 6, 2455, 5, 30443, 7, 1950, 4356, 2089, 1090, 11, 63, 25306, 8, 36355, 2088, 5252, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50622, 51176, 59920, 67898, 64452, 52410, 51176, 59920, 67898, 64452, 52038, 51197, 74940, 69382, 51009, 50861, 62398, 53663, 51176, 68678, 58987, 50824, 77575, 59920, 67898, 64452, 52410, 51176, 59920, 67898, 64452, 52038, 51197, 71863, 67898, 56893, 58503, 52030, 51176, 64452, 57593, 52125, 51360, 50802, 51176, 56798, 64452, 67797, 52313, 51360, 50802, 51176, 56798, 64452, 67797, 50802, 51034, 51360, 51184, 51176, 51184, 50871, 51184, 50965, 51184, 51028, 51184, 51018, 70562, 59920, 67898, 64452, 57593, 52030, 51176, 59920, 67898, 64452, 57593, 52125, 51176, 59920, 67898, 64452, 57593, 52313, 51176, 59920, 67898, 64452, 57593, 50802, 77575, 51009, 50900, 51009, 50956, 51009, 50965, 51009, 50876, 58769, 51176, 66822, 69382, 68678, 58987, 50824, 77575, 66822, 69382, 68678, 58987, 54107, 51176, 66822, 69382, 68678, 58987, 53663, 51197, 51029, 50997, 69166, 75422, 51029, 79395, 51197, 71863, 56893, 58503, 52038, 51197, 71863, 56893, 58503, 52030, 51197, 71863, 56893, 58503, 52125, 51176, 51009, 50900, 51009, 50956, 51009, 50965, 51009, 50876, 51009, 51018, 60643, 66822, 60297, 68678, 53663, 51197, 69382, 51009, 50861, 62398, 50824, 77575, 66822, 68678, 58987, 54107, 51176, 66822, 69382, 68678, 53663, 51197, 71863, 69382, 57994, 62398, 53681, 51176, 64452, 58987, 50824, 51034, 51360, 50802, 51176, 56798, 64452, 67797, 52410, 51360, 50802, 51176, 56798, 64452, 67797, 52038, 51360, 50802, 51176, 56798, 64452, 67797, 52030, 51360, 50802, 51176, 56798, 64452, 67797, 52125, 51085, 66822, 58987, 50824, 64507, 50803, 50968, 65531, 50802, 51399, 56778, 51315, 52244, 51026, 50803, 51001, 77190, 73301, 64381, 51085, 51973, 51315, 61347, 51214, 54935, 51085, 58221, 51197, 52726, 51026, 50811, 50968, 65531, 64244, 59898, 51085, 54496, 51197, 57784, 51026, 52952, 50900, 50811, 70901, 64076, 51062, 61746, 50916, 50811, 51001, 55092, 60373, 50951, 60869, 60832, 51062, 52940, 50871, 61645, 50803, 51339, 52911, 50871, 61645, 50803, 71213, 61645, 50803, 51399, 72642, 50871, 61645, 52244, 50871, 61645, 52801, 50871, 61645, 50803, 51062, 51973, 50871, 61645, 50803, 50931, 53300, 50871, 61645, 50803, 50951, 52119, 50871, 61645, 78859, 52674, 50871, 61645, 50803, 50951, 52057, 50871, 61645, 50803, 50931, 53609, 50871, 61645, 50803, 51028, 52284, 50871, 61645, 74017, 52911, 51324, 59237, 61645, 50803, 64507, 59237, 61645, 54024, 51050, 59237, 61645, 52244, 51176, 59237, 61645, 52801, 50997, 59237, 61645, 51973, 50900, 59237, 61645, 53300, 51050, 59237, 61645, 52119, 51176, 59237, 61645, 52674, 51086, 73765, 61645, 52057, 50871, 64452, 52313, 50900, 59237, 61645, 52911, 50900, 56798, 61645, 50803, 71213, 61645, 54024, 50916, 71294, 50906, 52244, 50871, 71294, 50906, 52801, 50871, 71294, 57967, 51399, 50993, 53645, 71294, 50906, 53300, 50871, 71294, 50906, 52119, 50871, 71294, 57967, 51062, 52674, 50916, 71294, 57967, 51081, 52057, 50871, 71294, 57967, 51062, 53609, 50871, 71294, 57967, 51399, 52284, 50871, 71294, 57967, 51062, 52911, 50871, 71294, 57967, 61399, 71213, 71294, 57967, 51147, 54024, 50989, 79482, 51114, 52244, 51085, 71294, 50906, 52801, 51360, 71294, 50906, 51973, 51378, 58891, 71294, 50906, 53300, 51176, 59237, 71294, 50906, 52119, 50997, 59237, 71294, 50906, 52674, 51040, 59237, 71294, 50906, 52057, 51026, 59237, 71294, 50906, 53609, 50997, 59237, 71294, 50906, 52284, 50900, 50993, 50916, 62119, 70621, 52911, 50871, 56893, 58503, 50802, 67079, 51040, 59237, 71294, 50906, 52244, 51040, 56798, 71294, 50906, 52801, 50871, 71294, 50906, 51973, 50871, 71294, 50906, 53300, 50871, 71294, 50906, 52119, 51040, 64659, 71294, 50906, 52674, 51040, 64659, 71294, 50906, 52057, 51040, 64659, 71294, 57967, 51339, 75421, 51040, 64659, 71294, 50906, 52284, 51040, 64659, 71294, 50906, 52911, 51040, 64659, 71294, 57967, 69175, 51034, 51086, 64659, 61645, 50803, 51146, 54024, 50900, 64659, 61645, 50803, 51405, 52244, 50900, 64659, 61645, 50803, 51430, 52801, 50900, 64659, 61645, 50803, 51339, 51973, 50997, 68708, 64659, 50803, 51787, 53300, 50997, 68708, 64659, 50803, 51487, 52119, 51176, 80222, 64659, 50803, 52128, 52674, 50871, 50993, 50965, 74711, 52057, 50965, 57593, 52313, 50956, 61645, 74017, 52911, 51040, 61645, 50803, 65293, 51034, 50956, 61645, 74017, 54024, 50989, 61645, 74017, 52244, 50916, 61645, 74017, 52801, 51040, 61645, 74017, 51973, 51176, 61645, 74017, 53300, 51378, 61645, 74017, 52119, 51197, 61645, 74017, 52674, 51315, 61645, 74017, 52057, 50965, 74017, 53609, 50965, 50803, 65293, 51405, 52284, 50965, 50803, 65293, 51146, 52911, 50965, 78325, 69175, 51034, 50965, 78325, 51430, 54024, 50965, 78325, 51787, 52244, 50965, 50803, 65293, 52128, 52801, 50965, 78325, 51787, 51973, 50965, 78325, 51430, 53300, 50965, 78325, 51405, 52119, 50965, 78325, 51146, 52674, 50965, 78325, 51405, 52057, 50965, 79482, 62754, 51430, 53609, 50965, 79482, 51028, 52284, 50916, 50993, 50965, 79482, 51028, 52911, 50965, 58503, 67797, 50802, 67079, 50956, 61645, 79482, 51028, 52244, 51040, 61645, 79482, 51028, 52801, 50956, 61645, 79482, 51028, 51973, 50989, 61645, 79482, 51028, 53300, 50916, 61645, 79482, 51028, 52119, 51040, 61645, 79482, 51028, 52674, 51176, 61645, 79482, 51028, 52057, 51378, 61645, 79482, 51028, 53609, 51197, 61645, 79482, 51028, 52284, 51315, 61645, 79482, 51028, 52911, 51503, 61645, 79482, 62754, 51034, 50965, 79482, 62754, 51430, 54024, 50965, 79482, 62754, 51405, 52244, 50965, 79482, 62754, 51339, 52801, 50965, 79482, 62754, 51787, 51973, 50965, 79482, 62754, 52128, 53300, 58161, 58336, 62754, 51814, 52119, 58161, 50965, 78325, 51487, 52674, 58161, 50965, 78325, 51787, 52057, 58161, 50965, 78325, 51430, 53609, 58161, 50965, 78325, 51405, 52284, 58161, 50965, 78325, 51405, 52911, 50989, 79482, 62754, 51787, 50803, 78458, 79482, 51028, 54024, 51026, 67898, 61645, 74017, 52244, 51378, 52801, 51050, 60253, 52038, 50997, 68708, 64659, 53300, 51114, 52119, 51086, 74711, 52674, 50989, 79482, 50902, 52057, 51027, 56798, 79482, 51028, 53609, 50871, 79482, 51028, 52284, 51026, 52911, 51026, 63378, 50802, 51034, 51086, 61572, 62119, 54024, 50951, 52244, 50900, 74017, 52801, 50989, 79482, 50902, 51973, 51027, 56798, 79482, 51028, 53300, 50871, 79482, 51028, 52119, 51026, 52674, 51026, 63378, 52125, 51086, 61572, 62119, 53609, 50951, 52284, 50900, 74017, 52911, 58161, 56245, 60013, 75424, 56893, 50803, 62754, 51001, 54024, 58161, 56245, 51001, 52244, 51027, 52801, 51120, 57129, 50803, 58121, 51081, 52038, 62754, 50931, 53300, 50999, 52119, 50900, 57129, 50803, 72156, 50999, 52674, 62754, 50931, 52057, 51086, 53609, 51315, 50802, 60013, 62678, 51062, 52313, 66740, 50951, 52911, 51220, 50803, 71543, 50802, 58121, 51147, 50803, 51081, 56778, 66740, 50951, 52244, 51040, 52801, 51378, 57129, 50811, 51114, 50811, 51146, 58099, 51399, 52968, 50999, 61347, 50931, 54935, 51028, 58221, 51028, 52726, 50877, 57485, 50989, 54496, 51040, 57784, 51040, 52952, 51027, 61746, 51378, 55092, 51120, 60869, 51360, 52940, 51279, 57915, 51966, 55059, 51085, 50993, 79395, 51360, 53300, 51197, 51009, 50956, 58221, 50956, 59009, 50956, 54496, 50956, 67898, 51300, 67079, 51197, 51009, 50956, 68159, 50956, 67721, 50956, 54381, 50956, 51973, 50956, 64659, 67270, 50956, 51300, 50435 ]
[ 0, 250, 20902, 5175, 2214, 11, 231, 73, 398, 86, 6, 4246, 10, 13305, 816, 20425, 8, 15352, 30054, 2301, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 3136, 23, 10, 23667, 27841, 139, 20889, 6, 7630, 14805, 10, 1186, 9, 6711, 29, 31, 11098, 7, 15073, 6, 19, 10, 25306, 1318, 4, 20, 33215, 16739, 9, 272, 119, 406, 6, 211, 119, 406, 6, 8, 1918, 3639, 7, 63, 6878, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50642, 51026, 51175, 50899, 51175, 51081, 50967, 51487, 69400, 66736, 51339, 55098, 67423, 51405, 52599, 50951, 51095, 51081, 51110, 51146, 51110, 50462, 51001, 51095, 50951, 51095, 51062, 51110, 50474, 63830, 51001, 51110, 50999, 51095, 51540, 50861, 50967, 72481, 65338, 63064, 51146, 51095, 59409, 50808, 50999, 54125, 62942, 50951, 53415, 50877, 50967, 73054, 50931, 51178, 50462, 72362, 78122, 50968, 51110, 50474, 75975, 75640, 73054, 51540, 51028, 61432, 60015, 57933, 50968, 56307, 50999, 71277, 57547, 51399, 56298, 51430, 57991, 51146, 64233, 51194, 50965, 51194, 50902, 70652, 51220, 50905, 50462, 51147, 50905, 50468, 50968, 50905, 50474, 50902, 50974, 50480, 50973, 50905, 51540, 51040, 57254, 54644, 50916, 66289, 54335, 50877, 65064, 55544, 51028, 51644, 50325, 54137, 50968, 51455, 50329, 55200, 50999, 51455, 50332, 54058, 51399, 51043, 51814, 51233, 51540, 68532, 50419, 50861, 58506, 50877, 50866, 50428, 50906, 50987, 59409, 51008, 50436, 73754, 50441, 51001, 63251, 51114, 50955, 56222, 51043, 50906, 51043, 50902, 51233, 50951, 51043, 50462, 50876, 51337, 51114, 51337, 50999, 51423, 50474, 50902, 51337, 50951, 51233, 51081, 51423, 51540, 75651, 50419, 66374, 50423, 73754, 50427, 51001, 59780, 50931, 51008, 50436, 75566, 50441, 51147, 50955, 50445, 51220, 58038, 77549, 51001, 51233, 50951, 51233, 51062, 51043, 50462, 50931, 51233, 51220, 51423, 51146, 51337, 50474, 50951, 51043, 51062, 51233, 51405, 51423, 51540, 51114, 50942, 50419, 50951, 66700, 68717, 50427, 51081, 59780, 51062, 51008, 50436, 51146, 50959, 50441, 51405, 67139, 51787, 58248, 50951, 51194, 51081, 51043, 51146, 51337, 51487, 51337, 50462, 51062, 51337, 51787, 51233, 51814, 51423, 50474, 51146, 51233, 51487, 51423, 52052, 51337, 51540, 51146, 51167, 52912, 51167, 53337, 51215, 50902, 51175, 51146, 50967, 52912, 51215, 64574, 51167, 50902, 51175, 51146, 51215, 53684, 58647, 50916, 51167, 50902, 51175, 51146, 51215, 52357, 51215, 50462, 50871, 51175, 50902, 51215, 51146, 51215, 52052, 51215, 50474, 50989, 51175, 50902, 51215, 51146, 51215, 51814, 51095, 51540, 50861, 51215, 50902, 51215, 51081, 50967, 51487, 69400, 60003, 51339, 54125, 68631, 51405, 52841, 63064, 51081, 51178, 51146, 51110, 50462, 51001, 51095, 50951, 51110, 51062, 51178, 50474, 50876, 51110, 51001, 51110, 50999, 51095, 51540, 50861, 51215, 50906, 51175, 50902, 51095, 63064, 51146, 51215, 59409, 50812, 50999, 55098, 76242, 50951, 52841, 75640, 73054, 50931, 51110, 50462, 50861, 51110, 50906, 51110, 50968, 51110, 50474, 50871, 70897, 51095, 73054, 51540, 51028, 64233, 60015, 65516, 50968, 53770, 50999, 68434, 57547, 51399, 56298, 51430, 57991, 51146, 62430, 51194, 50965, 51043, 50902, 70854, 51220, 50892, 50462, 51147, 50905, 50468, 50968, 50974, 50474, 50902, 50892, 50480, 50973, 50892, 51540, 51040, 57069, 54644, 50916, 69791, 50974, 56207, 61527, 55544, 51028, 73089, 53913, 50968, 51644, 50329, 55103, 50999, 51644, 50332, 56697, 51399, 51194, 51814, 51233, 51540, 50973, 50937, 50418, 50876, 66401, 74952, 50427, 51001, 59982, 72310, 50437, 50951, 50978, 50441, 51147, 67139, 51220, 58248, 77549, 51001, 51043, 50951, 51233, 51062, 51233, 50462, 50931, 51233, 51220, 51337, 51146, 51337, 50474, 50951, 51043, 51062, 51337, 51405, 51423, 51540, 51001, 50925, 50418, 50951, 66401, 50999, 50866, 50428, 51081, 60539, 51062, 50987, 50436, 51146, 51058, 50441, 51405, 63251, 51787, 58248, 50951, 51233, 51081, 51194, 51146, 51337, 51487, 51233, 50462, 51062, 51233, 51787, 51233, 51814, 51233, 50474, 51146, 51337, 51487, 51337, 52052, 51337, 51540, 51220, 50942, 50419, 51062, 66401, 51146, 50959, 50427, 51405, 53961, 51339, 80249, 51487, 50959, 50441, 52128, 50955, 50445, 53117, 60649, 51062, 51194, 51405, 51194, 51487, 51337, 52357, 51233, 50462, 51339, 51233, 53117, 51423, 52912, 51233, 50474, 51487, 51233, 52357, 51337, 53919, 51337, 51540, 51487, 51167, 55538, 51215, 54439, 51215, 50951, 51167, 51487, 50967, 55538, 78590, 50965, 51215, 50951, 51175, 51487, 51215, 56193, 58647, 50877, 51175, 50951, 51167, 51487, 51175, 52956, 50967, 50462, 50906, 51215, 50951, 51175, 51487, 51095, 53919, 51215, 50474, 50973, 51175, 50951, 51215, 51487, 50967, 52912, 50967, 51540, 50876, 51354, 50951, 51354, 51405, 51379, 51487, 51379, 52357, 51379, 50432, 59179, 52052, 55098, 51220, 50808, 52128, 52599, 51062, 51110, 51487, 51178, 50462, 51147, 51095, 51062, 51110, 51339, 51178, 50474, 66002, 51147, 51095, 51146, 51178, 51540, 50876, 51175, 51001, 51175, 50951, 51095, 51487, 69400, 57061, 51146, 55098, 73067, 51062, 52841, 50902, 51110, 50951, 51110, 51081, 51095, 50462, 50876, 51110, 51001, 51110, 50999, 51110, 50474, 50906, 51095, 73054, 50951, 51178, 51540, 50997, 51175, 50871, 51167, 51399, 51175, 51339, 50967, 52052, 58443, 79299, 52128, 53263, 74964, 51787, 53415, 51081, 51095, 51399, 51110, 51339, 51178, 50462, 51114, 50967, 51081, 51178, 51405, 51178, 50474, 51001, 51095, 51114, 51110, 51062, 51110, 51540, 72481, 51028, 51175, 50931, 51095, 51081, 50967, 51339, 58443, 51001, 50800, 51062, 54125, 63417, 51081, 53415, 80033, 50931, 51178, 51147, 51110, 50462, 50906, 51095, 51028, 51178, 50951, 51110, 50474, 50965, 51095, 50876, 51110, 50931, 51110, 51540, 50965, 51167, 50973, 51175, 51220, 51215, 52128, 70192, 51787, 54125, 51339, 52599, 51405, 65114, 51378, 51175, 51176, 51167, 51086, 51167, 50956, 51175, 50468, 56193, 50808, 50471, 52956, 50833, 50474, 53919, 51110, 51540, 51050, 51379, 51086, 51167, 50956, 51379, 50432, 51787, 55098, 51339, 52599, 51405, 51110, 64057, 78449, 51215, 50871, 50967, 51146, 50967, 50462, 51062, 51178, 50474, 51081, 51110, 51540, 51176, 51379, 50956, 51379, 51220, 51175, 52128, 73577, 51787, 53263, 51339, 53415, 51405, 64949, 51378, 51379, 51176, 51167, 51086, 51175, 50956, 51175, 50468, 56193, 50833, 50471, 52956, 50833, 50474, 53919, 51110, 51540, 51050, 51379, 51086, 51379, 50956, 51379, 50432, 51787, 54125, 51339, 53415, 51405, 51110, 64057, 51215, 51146, 51095, 50462, 51062, 51110, 50474, 51081, 51110, 51540, 50906, 51379, 51081, 70192, 51081, 56535, 51062, 54773, 51081, 67702, 51081, 51175, 50468, 52052, 50859, 50471, 52357, 50859, 50474, 52052, 51215, 51540, 52052, 51379, 50432, 59987, 52262, 67747, 51724, 59987, 67702, 51176, 51167, 50462, 51026, 51175, 50474, 51050, 51175, 51540, 51197, 51194, 51081, 51043, 54439, 64669, 51081, 55167, 51062, 54123, 50997, 51233, 51081, 51423, 50450, 51050, 51043, 51147, 51233, 50462, 50965, 51043, 50951, 51337, 50474, 50997, 51043, 50931, 51337, 51540, 51026, 51194, 51001, 51233, 60564, 51233, 50951, 51337, 62335, 51233, 51081, 51423, 50450, 51085, 51194, 51405, 51233, 50462, 50956, 51233, 51146, 51337, 50474, 51026, 51043, 51062, 51337, 51540, 51405, 50878, 51234, 51194, 50418, 51146, 50866, 53337, 51233, 51062, 51423, 62322, 51233, 51081, 75926, 79523, 51085, 51233, 50454, 51062, 50866, 50462, 50956, 51043, 51081, 51337, 50474, 51026, 51337, 50999, 51337, 51540, 51062, 50955, 51120, 51043, 50418, 51081, 50987, 54439, 51043, 50999, 51233, 62335, 51043, 50951, 51423, 50450, 51081, 50955, 51120, 51043, 50454, 51147, 50978, 50462, 50871, 51233, 50951, 51423, 50474, 50997, 51043, 50931, 51423, 51540, 51197, 51178, 51081, 51043, 54439, 74257 ]
[ 0, 713, 765, 5175, 2214, 11, 274, 10431, 538, 16, 3820, 19, 1007, 8, 33301, 4, 85, 1575, 10, 16331, 33215, 16739, 9, 12608, 119, 6, 274, 10431, 6, 163, 43531, 6, 8, 2060, 6, 8, 11498, 10, 20902, 12701, 4450, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 1472, 9, 657, 8, 11098, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 51036, 51001, 51036, 57542, 51036, 50989, 51036, 50973, 51036, 51001, 51036, 51114, 51036, 56178, 51036, 50906, 51036, 51001, 51036, 51114, 51036, 51081, 51036, 57346, 51036, 50965, 51036, 51028, 51036, 51114, 51036, 51147, 51036, 58526, 51036, 50956, 51036, 50965, 51036, 50973, 51036, 51001, 51036, 57542, 51036, 50989, 51036, 50973, 51036, 51001, 51036, 51114, 51036, 56178, 51036, 50906, 51036, 51001, 51036, 51114, 51036, 51081, 51036, 57346, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51378, 73685, 65287, 56793, 63057, 50807, 58526, 76603, 72868, 71052, 50983, 51001, 57345, 51176, 76603, 72868, 71052, 50983, 51001, 58624, 51176, 60821, 58750, 60939, 63161, 50807, 57542, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51086, 65287, 60939, 63161, 73412, 50807, 56178, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 57345, 50956, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 58624, 50956, 56793, 63161, 73412, 74018, 50807, 57346, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 57345, 51040, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 58624, 51040, 58750, 63057, 73412, 78210, 50807, 58526, 76603, 72868, 71052, 50983, 51001, 57345, 51176, 76603, 72868, 71052, 50983, 51001, 58624, 51176, 60821, 58750, 60939, 63161, 50807, 57542, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51086, 65287, 60939, 63161, 73412, 50807, 56178, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 57345, 50956, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 58624, 50956, 56793, 63161, 73412, 74018, 50807, 57346, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51378, 73685, 65287, 56793, 63057, 50807, 56178, 56962, 56190, 57367, 52115, 51176, 51620, 50956, 56962, 56190, 57367, 51736, 51176, 52262, 50956, 56962, 56190, 57367, 54789, 51176, 51820, 50956, 56962, 56190, 57367, 51798, 51176, 52809, 50956, 56962, 56190, 57367, 54093, 51176, 50800, 57126, 56190, 57367, 61907, 52115, 51086, 51620, 50989, 56190, 57367, 61907, 51736, 51086, 52262, 50989, 56190, 57367, 61907, 54789, 51086, 51820, 50989, 56190, 57367, 61907, 51798, 51086, 52809, 50989, 56190, 57367, 61907, 54093, 51086, 50800, 55694, 57367, 61907, 63627, 52115, 50956, 51620, 50906, 57367, 61907, 63627, 51736, 50956, 52262, 50906, 57367, 61907, 63627, 54789, 50956, 51820, 50906, 57367, 61907, 63627, 51798, 50956, 52809, 50906, 57367, 61907, 63627, 54093, 50956, 50800, 57190, 57981, 61907, 59688, 52115, 51040, 51620, 50965, 57981, 61907, 59688, 51736, 51040, 52262, 50965, 57981, 61907, 59688, 54789, 51040, 51820, 50965, 57981, 61907, 59688, 51798, 51040, 52809, 50965, 57981, 61907, 59688, 54093, 51040, 50800, 56178, 56962, 56190, 57367, 52115, 51176, 51620, 50956, 56962, 56190, 57367, 51736, 51176, 52262, 50956, 56962, 56190, 57367, 54789, 51176, 51820, 50956, 56962, 56190, 57367, 51798, 51176, 52809, 50956, 56962, 56190, 57367, 54093, 51176, 50800, 57126, 56190, 57367, 61907, 52115, 51086, 51620, 50989, 56190, 57367, 61907, 51736, 51086, 52262, 50989, 56190, 57367, 61907, 54789, 51086, 51820, 50989, 56190, 57367, 61907, 51798, 51086, 52809, 50989, 56190, 57367, 61907, 54093, 51086, 50800, 55694, 57367, 61907, 63627, 52115, 50956, 51620, 50906, 57367, 61907, 63627, 51736, 50956, 52262, 50906, 57367, 61907, 63627, 54789, 50956, 51820, 50906, 57367, 61907, 63627, 51798, 50956, 52809, 50906, 57367, 61907, 63627, 54093, 50956, 50800, 57190, 57981, 61907, 59688, 52115, 51040, 51620, 50965, 57981, 61907, 59688, 51736, 51040, 52262, 50965, 57981, 61907, 59688, 54789, 51040, 51820, 50965, 57981, 61907, 59688, 51798, 51040, 52809, 50965, 57981, 61907, 59688, 54093, 51040, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 13305, 3315, 5, 169, 6, 2351, 10, 19448, 8, 8728, 5466, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 10431, 538, 8, 1575, 10, 16331, 33215, 16739, 9, 2060, 119, 6, 12608, 119, 6, 230, 10431, 406, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50447, 51001, 52848, 51114, 57431, 51028, 50917, 57530, 50968, 52014, 50279, 50991, 51324, 51238, 50423, 50627, 51378, 52710, 50989, 52098, 50315, 71606, 51218, 50432, 51378, 56282, 50627, 50989, 60597, 68368, 51591, 50444, 51028, 77534, 51001, 53533, 51028, 50925, 51966, 50914, 50454, 50973, 65737, 66734, 57530, 51028, 50805, 54637, 50991, 51324, 64736, 51378, 53049, 50628, 50989, 68551, 51417, 50973, 51417, 50432, 51378, 58020, 51324, 62902, 50627, 59289, 51001, 54276, 50973, 52434, 50322, 59960, 51001, 52434, 50324, 50977, 57530, 51114, 52098, 50327, 51588, 50276, 50991, 51503, 77950, 50628, 51176, 70833, 50810, 65473, 51147, 53450, 50628, 50973, 52434, 50322, 51665, 50303, 63142, 53387, 50989, 52415, 50319, 54014, 50627, 51081, 52434, 50281, 51221, 51360, 51124, 50447, 51176, 57035, 50810, 74730, 50931, 52843, 50628, 50973, 52434, 50319, 51665, 50305, 63328, 53586, 50871, 50866, 56103, 51147, 52098, 50286, 77950, 50997, 69303, 53906, 50627, 51040, 62839, 52434, 50317, 51800, 50322, 51562, 71288, 52434, 50310, 58020, 50627, 50965, 58835, 51127, 50447, 50968, 54276, 51147, 52098, 50300, 58705, 51001, 50917, 56103, 51114, 52014, 50281, 51238, 51360, 50991, 50422, 50627, 50423, 51176, 53906, 50965, 80191, 66950, 73576, 51176, 58020, 50989, 57543, 60763, 53218, 50628, 51001, 73697, 50968, 53886, 78887, 51001, 65840, 50889, 50454, 68899, 51028, 62990, 50956, 50897, 67594, 57530, 51040, 62838, 56876, 70354, 51631, 50628, 50916, 51141, 50965, 51141, 51028, 51218, 50447, 50628, 65200, 67563, 51147, 54004, 50965, 52434, 50320, 51665, 50327, 54752, 50916, 75600, 52434, 50324, 50866, 56103, 50956, 51124, 50973, 51124, 51114, 51221, 50423, 51086, 50810, 59289, 51001, 53450, 51176, 52434, 50307, 68839, 58672, 51315, 52434, 50312, 60592, 50627, 51378, 63328, 75127, 64291, 63897, 51966, 59881, 50628, 51001, 51203, 50989, 64292, 50915, 50458, 50628, 50459, 51001, 57335, 51028, 50839, 56103, 50956, 51591, 50973, 51675, 54637, 51486, 51324, 51486, 50423, 51378, 64442, 52654, 51086, 52415, 50310, 53961, 50956, 52434, 50315, 60592, 50627, 50989, 66593, 75723, 50628, 51114, 50858, 51405, 54596, 51220, 51919, 50334, 52545, 50286, 53751, 50298, 68287, 51114, 51919, 50329, 51030, 57530, 51220, 52362, 50332, 52370, 50279, 51469, 51324, 51469, 50423, 51378, 54149, 50628, 50989, 52370, 50322, 53531, 50327, 53751, 50331, 51761, 50432, 50989, 64104, 50628, 50968, 51958, 50322, 51958, 50326, 63437, 51399, 50911, 50449, 51405, 53595, 51399, 50940, 51966, 52530, 50298, 53177, 50320, 51274, 50454, 51220, 72870, 51081, 50921, 57530, 51399, 52362, 50279, 51696, 51324, 51469, 50423, 51378, 69304, 52422, 50627, 51086, 64935, 67286, 51661, 51220, 51285, 64551, 53275, 50315, 64104, 50989, 76643, 51090, 50447, 50628, 51114, 50821, 51405, 53153, 51220, 51919, 50334, 76378, 70512, 61510, 51405, 53275, 50336, 50948, 57530, 51787, 53275, 50339, 53318, 50276, 51527, 51503, 51009, 50423, 50628, 51086, 50858, 50989, 50858, 51405, 50858, 52128, 52422, 51220, 52545, 50334, 76378, 52370, 50315, 52309, 51114, 51919, 50331, 59894, 50627, 51339, 53275, 50338, 53318, 50281, 51870, 51360, 51009, 50447, 50628, 51176, 50882, 50871, 50882, 51399, 50821, 51339, 53153, 51220, 52545, 50331, 53275, 50305, 52370, 50315, 55764, 50931, 50948, 57530, 52128, 53318, 50274, 51527, 51966, 51527, 50423, 50997, 50858, 50989, 54149, 50628, 51040, 61505, 51936, 50329, 53177, 50322, 52512, 51787, 52097, 71288, 64935, 52322, 51062, 51958, 50276, 51009, 51503, 51870, 50447, 50628, 70433, 51430, 53153, 51147, 51919, 50336, 78914, 52530, 50312, 53177, 50316, 61510, 51001, 51919, 50331, 50936, 57530, 51114, 52370, 50334, 52362, 50281, 51527, 51360, 51870, 50423, 51176, 54149, 50627, 50965, 72292, 53751, 50320, 51552, 51430, 51761, 50432, 50628, 51176, 54993, 50628, 50989, 60599, 53177, 50325, 55451, 51176, 67286, 50806, 51405, 55260, 50989, 50940, 51001, 50921, 51405, 50940, 50877, 51090, 50454, 50916, 50921, 51028, 51033, 51399, 65372, 50956, 51033, 74873, 51062, 51033, 56103, 50989, 64515, 52362, 50319, 52370, 50331, 63098, 50627, 50916, 51761, 50965, 51761, 51028, 51761, 51147, 51761, 51399, 51761, 50447, 50628, 63077, 67642, 51147, 54004, 50965, 63988, 52415, 50327, 60077, 50916, 52415, 50314, 51962, 50324, 51058, 57530, 50956, 51255, 50973, 51255, 51114, 51255, 50423, 51086, 50844, 74312, 51001, 52921, 51176, 71678, 64535, 54342, 51315, 67307, 54137, 50628, 51378, 65632, 74915, 72272, 63897, 51966, 60649, 50627, 51001, 51363, 50989, 63211, 50995, 50459, 50628, 51001, 61561, 51028, 50867, 57844, 66533, 51183, 54637, 51790, 51324, 51742, 50423, 51086, 68897, 52921, 50956, 66228, 54342, 51114, 68219, 51477, 80212, 51001, 51568, 50327, 60785, 50627, 51001, 65458, 51114, 59132, 50931, 51710, 50324, 50924, 57530, 51114, 51460, 51081, 51460, 50956, 51343, 50906, 51274, 51001, 51274, 50423, 50628, 51405, 51620, 51114, 51442, 50326, 51736, 50973, 57367, 56645, 59688, 55122, 50627, 51114, 51160, 51081, 51427, 50956, 51343, 50906, 51343, 51001, 51364, 50447, 50628, 51405, 54721, 51114, 63627, 55416, 50973, 56645, 50805, 51147, 50795, 60497, 50858, 50906, 78171, 66281, 51147, 54681, 50931, 63748, 53471, 51114, 51620, 50956, 52297, 50310, 52297, 50319, 51091, 50441, 50628, 50931, 53103, 71436, 51040, 59957, 51001, 52843, 67563, 51086, 64225, 51028, 52863, 60834, 50997, 61219, 67563, 57530, 51503, 52434, 50300, 59703, 74523, 50628, 51176, 52434, 50303, 52434, 50307, 58506, 67563, 51001, 52654, 50965, 53961, 51966, 51665, 50298, 52434, 50310, 60592, 50627, 51503, 51588, 50300, 52434, 50312, 78373, 50628, 51176, 52434, 50303, 52415, 50307, 79860, 67563, 51001, 52843, 50965, 59960, 51966, 52434, 50298, 73446, 50977, 56103, 51503, 50833, 51176, 74566, 59636, 50906, 54611, 50626, 51966, 50810, 51378, 50844, 50989, 54347, 50965, 52654, 50622, 51234, 51115, 50997, 51115, 50906, 66744, 50627, 50447, 50628, 51081, 52848, 51399, 56974, 51147, 50917, 57530, 51220, 51828, 50286, 51077, 50423, 51040, 53049, 50628, 50906, 52014, 50322, 74018, 57345, 51040, 56282, 50973, 73988, 72117, 69279, 50628, 51147, 50849, 50448, 51081, 53035, 51147, 50925, 51040, 50914, 50454, 51114, 65737, 73955, 57530, 51147, 51442, 50286, 50918, 51378, 50918, 50423, 50997, 75965, 52450, 50628, 51040, 68995, 68503, 51218, 51114, 70303, 50997, 75762, 56282, 51040, 64471, 68527, 50627, 51378, 50859, 50989, 52741, 50997, 64471, 58603, 51247, 52370, 50297, 61805, 57442, 71228, 50806, 57211, 53492, 51427, 51234, 51653, 51040, 51653, 50906, 51460, 51028, 51460, 50423, 50628, 50997, 71304, 53950, 51040, 73979, 57943, 51503, 50806, 51176, 65257, 71228, 67286, 52322, 50626, 52759, 51460, 51360, 51460, 50871, 51160, 51028, 51427, 50931, 79958, 50628, 51040, 50859, 51028, 51757, 50871, 76028, 58603, 51085, 52370, 50304, 73796, 75672, 75208, 50806, 57211, 51247, 51460, 51050, 51427, 50877, 51653, 50876, 51427, 50931, 51460, 50999, 51427, 50415, 50626, 50416, 50626, 50417, 50625, 50418, 50625, 50419, 50625, 50420, 50624, 50421, 50624, 50422, 50624, 50423, 50623, 53492, 51285, 51234, 51285, 50906, 51285, 50902, 52195, 50931, 51285, 51081, 51661, 60643, 51274, 50997, 51343, 50899, 51274, 50428, 50623, 50432, 50623, 50437, 50623, 50441, 50623, 50446, 50624, 50447 ]
[ 0, 713, 765, 5175, 2214, 11, 274, 3694, 1575, 10, 20902, 11739, 9, 20535, 2810, 6, 1076, 560, 31365, 25999, 6, 8, 3741, 27374, 594, 6, 2800, 30, 3459, 9590, 8, 21072, 4, 590, 41, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 15352, 30054, 8, 20425, 2125, 14, 67, 24536, 4785, 9, 15073, 4, 20, 33215, 16739, 9, 274, 119, 406, 6, 274, 119, 6, 2060, 119, 6, 163, 73, 347, 10431, 6, 8, 2060, 119, 3639, 7, 63, 13363, 28191, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50461, 52913, 50817, 51096, 52885, 75767, 50817, 50799, 56064, 50817, 56108, 50811, 56108, 62601, 56064, 50811, 52913, 50930, 51096, 50930, 56108, 50930, 56108, 54451, 52279, 70726, 59852, 51096, 51520, 52279, 57639, 57646, 56064, 50811, 52913, 50811, 56108, 50803, 56108, 56998, 50832, 50890, 50428, 56064, 50803, 51999, 64058, 65384, 57485, 56064, 50803, 57336, 57784, 50798, 59071, 50832, 70736, 56064, 50882, 50443, 58912, 67505, 50832, 50811, 57730, 51520, 57795, 56064, 55552, 56165, 50882, 56584, 60370, 50832, 60271, 56064, 56771, 69582, 50799, 54470, 51033, 50415, 50832, 50811, 56130, 53213, 56064, 50882, 67001, 54381, 56165, 50823, 56957, 50823, 52389, 61347, 56064, 58221, 50832, 52726, 58912, 61109, 50832, 51670, 52952, 56064, 57149, 50832, 55092, 65384, 56695, 50832, 55059, 56064, 57795, 56165, 52668, 52768, 50798, 58614, 50832, 62161, 58912, 50811, 56584, 59730, 65384, 59616, 51096, 56628, 52913, 50817, 56108, 50811, 56108, 57639, 75767, 50817, 50799, 56064, 55534, 51096, 50811, 56108, 50882, 56108, 64257, 62601, 52913, 52279, 51670, 55804, 56064, 59852, 52913, 50811, 65247, 56108, 50803, 56108, 55267, 57646, 56064, 51670, 52279, 58860, 50832, 61347, 56064, 50803, 51999, 58221, 65384, 52726, 50832, 57485, 56064, 50803, 52224, 57880, 50798, 61746, 56064, 50811, 56568, 52940, 58912, 50823, 57730, 57795, 50798, 52768, 56064, 62103, 50832, 55552, 56165, 56250, 56064, 68209, 51625, 56628, 54470, 55466, 51670, 50811, 51809, 50832, 61085, 50817, 56130, 61993, 56064, 59714, 60879, 50832, 57646, 56165, 50823, 56957, 58099, 51456, 52220, 61347, 56064, 50803, 56096, 58221, 58912, 76874, 59009, 50832, 50811, 57336, 57776, 56064, 51520, 63182, 52676, 50832, 61746, 65384, 50823, 51326, 50811, 56568, 52940, 50832, 59135, 51326, 57915, 56064, 50811, 52283, 59788, 51289, 57795, 56165, 61958, 52768, 50832, 62161, 58912, 50811, 52145, 59730, 65384, 56327, 59616, 52913, 50817, 51096, 50811, 56108, 50811, 56108, 56628, 53431, 67958, 50799, 56064, 55534, 52913, 50811, 51096, 50882, 56108, 50858, 56108, 69764, 63603, 56064, 51670, 52279, 60879, 52913, 50811, 68362, 56108, 50803, 56108, 55267, 57369, 56064, 51670, 52279, 58860, 50832, 61347, 56064, 50803, 56096, 58221, 65384, 57476, 50832, 57485, 56064, 61109, 50798, 61746, 58912, 55466, 50811, 56568, 57915, 56064, 50811, 57730, 57795, 58912, 51670, 62161, 56165, 50800, 56584, 59730, 54470, 74717, 50832, 59616, 52913, 50817, 51096, 50811, 56108, 50811, 56108, 57639, 75767, 56912, 56064, 52084, 50811, 51601, 52913, 50811, 51096, 50894, 56108, 50803, 56108, 55267, 52220, 52279, 63603, 56064, 50930, 50421, 52913, 50811, 68362, 56108, 50803, 56108, 55267, 52220, 52279, 57369, 56064, 56667, 50832, 50930, 50428, 56064, 50894, 51999, 58221, 65384, 52119, 50832, 57485, 56064, 61109, 50798, 52952, 50832, 62281, 58912, 67505, 50832, 77571, 56064, 50811, 57730, 57891, 56165, 52466, 62161, 58912, 50811, 56584, 59730, 65384, 59616, 51096, 50811, 56108, 50811, 56108, 57639, 56912, 56064, 50811, 52913, 75767, 50817, 51601, 51096, 50858, 56108, 50800, 56108, 55456, 63603, 56064, 50811, 52913, 51670, 52279, 60879, 65247, 56108, 50803, 56108, 55267, 57369, 56064, 50811, 52913, 52279, 51670, 58860, 50832, 61347, 56064, 50811, 56096, 52726, 65384, 57476, 50832, 54496, 56064, 57784, 50798, 59071, 50832, 61746, 58912, 50823, 56568, 57915, 56064, 57795, 58912, 51670, 52084, 62161, 56165, 64405, 54470, 55466, 59616, 52913, 52885, 56912, 50964, 52220, 51779, 50817, 50799, 56064, 50811, 51096, 50949, 56108, 51033, 56108, 51033, 50415, 51206, 63603, 52913, 50811, 51096, 51670, 52279, 55804, 56064, 59852, 56108, 50803, 56108, 55267, 57369, 52913, 50817, 51096, 51520, 52279, 54381, 56064, 58860, 50832, 61347, 56064, 50803, 56096, 58221, 65384, 59009, 50832, 57485, 56064, 57880, 50798, 73898, 50832, 61746, 58912, 50803, 56568, 57915, 56064, 50811, 57730, 57795, 56165, 61958, 62161, 58912, 50811, 56584, 59730, 65384, 59616, 51096, 50811, 56108, 50811, 56108, 57639, 56912, 56064, 50817, 52913, 75767, 50817, 51601, 52913, 50817, 51096, 50858, 56108, 50882, 56108, 64257, 63603, 56064, 51670, 52279, 59852, 52913, 50817, 51096, 55267, 57646, 56064, 50811, 56108, 50803, 56108, 51520, 52279, 62938, 56064, 51880, 50811, 56096, 64058, 65384, 57485, 56064, 57784, 50832, 51670, 59071, 50832, 62281, 56064, 60254, 58912, 59116, 50832, 57795, 50832, 52466, 52768, 56064, 53532, 56165, 51033, 56584, 60370, 50832, 56250, 52060, 54871, 56064, 50811, 50799, 54470, 52466, 62601, 50832, 69739, 55265, 51553, 61792, 51456, 55255, 51625, 60861, 56064, 58026, 56165, 55466, 69739, 61085, 50817, 56957, 63606, 51224, 52220, 61347, 56064, 50803, 56096, 58221, 58912, 76874, 62240, 57776, 56064, 51880, 51670, 63182, 62240, 57512, 50832, 61746, 65384, 50823, 51326, 59587, 50832, 57915, 56064, 63182, 50817, 57730, 57795, 56165, 51033, 51289, 57167, 52220, 58614, 50832, 62161, 58912, 62310, 77805, 56584, 59730, 65384, 56327, 60488, 52913, 50817, 51096, 50811, 56108, 50811, 56108, 56628, 56064, 51670, 52885, 51463, 50817, 51601, 51096, 50882, 56108, 50803, 56108, 75542, 52913, 57639, 51463, 51670, 55804, 56064, 59852, 51096, 64595, 57369, 56064, 50882, 52913, 50811, 56108, 50803, 56108, 51520, 52279, 56973, 50832, 50890, 50428, 56064, 50811, 51999, 64058, 65384, 56861, 56064, 50803, 57336, 57784, 50798, 55092, 56064, 50803, 56568, 52940, 58912, 57276, 50832, 57795, 50798, 52768, 56064, 62103, 50832, 55552, 56165, 51045, 50455, 50832, 58150, 56064, 68209, 56912, 54470, 69951, 51670, 50811, 51601, 50832, 62601, 52060, 60103, 61993, 56064, 59714, 73744, 51625, 59852, 50832, 57646, 56165, 50823, 56957, 58099, 51456, 60103, 73744, 52220, 61347, 56064, 50803, 56096, 58221, 58912, 76874, 62240, 60103, 73744, 58167, 50832, 50811, 57336, 57784, 56064, 51520, 63182, 62240, 60103, 73744, 57512, 50832, 63182, 62240, 60103, 73744, 62968, 65384, 50823, 56568, 59135, 51326, 55255, 51759, 62240, 60103, 56877, 56064, 52084, 50817, 57730, 57167, 55255, 60103, 62240, 58977, 56165, 58732, 52768, 50832, 58614, 51553, 57167, 55255, 62240, 79857, 58912, 50811, 52145, 57916, 51326, 62240, 55255, 60103, 57859, 65384, 52163, 50832, 54871, 51096, 52084, 59616, 52913, 50811, 56108, 50811, 56108, 56628, 56064, 51670, 51463, 50817, 53596, 51033, 50415, 52913, 50811, 56108, 50811, 56108, 62601, 50804, 51670, 55804, 56064, 53696, 53213, 51096, 67721, 52913, 50811, 56108, 50803, 56108, 50803, 53951, 51670, 54381, 56064, 50811, 56957, 52968, 50832, 58860, 51906, 62549, 56064, 50811, 51999, 58459, 52425, 57925, 65384, 52119, 50832, 59009, 51906, 68974, 56064, 50811, 52224, 58212, 52099, 52466, 61746, 56064, 50882, 52260, 60681, 51713, 57676, 50443, 58912, 50823, 52283, 57795, 56064, 53235, 52279, 52050, 56721, 50832, 62161, 56165, 51033, 56584, 52193, 50832, 58150, 56064, 50882, 50460, 51888, 68759, 56628, 54470, 53236, 50811, 52478, 50832, 60861, 56064, 70838, 56165, 50823, 56957, 58099, 50798, 52279, 56973, 50832, 50930, 50428, 56064, 58874, 52099, 51795, 50832, 58221, 58912, 61964, 50832, 50811, 57336, 57784, 56064, 51520, 61746, 65384, 50803, 56568, 57915, 56064, 50930, 57730, 51670, 52279, 58977, 58912, 52568, 56165, 56706, 62161, 58912, 59154, 65384, 52668, 59730, 50804, 52193, 50832 ]
[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 38668, 22052, 6, 21979, 8669, 6, 38668, 3038, 6, 8, 1076, 560, 8, 579, 1517, 20426, 31365, 6673, 6909, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 272, 6, 3676, 6, 211, 406, 6, 272, 6, 8, 83, 4, 20, 1349, 7630, 6568, 6453, 9, 11098, 6, 10563, 6, 8, 20183, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 50796, 50446, 50953, 53798, 51011, 50975, 52060, 57916, 52060, 64963, 51415, 66212, 50940, 50868, 50921, 50847, 50940, 52278, 50823, 53771, 51045, 51678, 61411, 50817, 54272, 51573, 53605, 63358, 52097, 50868, 52512, 50847, 52512, 52724, 50846, 52760, 50846, 52118, 50846, 52278, 50860, 53771, 50976, 51678, 74804, 55453, 61792, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 60170, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 50846, 52278, 51483, 53771, 51066, 51678, 78786, 52437, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 50824, 50929, 51072, 51032, 51566, 52777, 59971, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59311, 51133, 50921, 54318, 63358, 50940, 50868, 50830, 50847, 50921, 52724, 50846, 52760, 50846, 52118, 50846, 52278, 50823, 53771, 50803, 51678, 51520, 51044, 53294, 50953, 51237, 53605, 63358, 52097, 50868, 52512, 50850, 52195, 52724, 50846, 52760, 50846, 52118, 50846, 52355, 50802, 53771, 50976, 51701, 50976, 53422, 50442, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59484, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 50846, 52355, 50975, 53771, 51072, 51701, 78786, 53533, 51133, 51016, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 51066, 50929, 51066, 51032, 51290, 57456, 57297, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 58892, 54318, 63358, 50940, 50868, 50830, 60001, 50850, 50940, 52724, 50846, 52760, 50846, 52118, 50846, 52355, 50823, 53863, 50823, 51701, 51052, 50883, 52563, 51059, 54341, 61597, 51175, 50847, 51167, 50847, 51167, 50935, 51175, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50976, 53863, 50975, 52252, 50976, 53422, 50418, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 60170, 53620, 62437, 51045, 51439, 50940, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 50894, 59930, 50811, 52471, 51858, 52437, 54318, 62437, 51483, 51439, 51354, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 51483, 59930, 50975, 73560, 51076, 50824, 51067, 51016, 52471, 50976, 52777, 59971, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59311, 77375, 53620, 65413, 51045, 51840, 50921, 52508, 50846, 52118, 50846, 52880, 50846, 53101, 50878, 56418, 50823, 53608, 51520, 51044, 54292, 51205, 50889, 54341, 59482, 52097, 51257, 51661, 52508, 50846, 52118, 50846, 52880, 50846, 51802, 51237, 54985, 51573, 52547, 51029, 53422, 50442, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59484, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 53934, 52396, 50927, 51054, 54318, 50817, 52508, 50846, 52118, 50846, 52880, 67936, 51237, 51076, 50824, 51067, 51016, 57456, 61376, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 58892, 53620, 63671, 51045, 50935, 51045, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50823, 53863, 50823, 52252, 51052, 50883, 52563, 51362, 54341, 63671, 51175, 50935, 51483, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50976, 53863, 50976, 52252, 50976, 53422, 50418, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 60170, 53620, 62437, 51045, 51439, 50952, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 50930, 59930, 50962, 52471, 51858, 52437, 54318, 62437, 51483, 51439, 51483, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 51379, 59930, 50975, 73560, 51076, 50824, 62569, 52471, 50976, 52777, 63519, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59311, 50953, 51033, 53620, 65413, 50940, 51840, 50897, 52508, 50846, 52118, 50846, 52880, 50846, 53101, 50910, 56418, 51014, 53608, 51520, 51044, 53294, 67361, 54341, 59482, 51016, 51257, 51016, 52508, 50846, 52118, 50846, 52880, 50846, 51802, 51054, 54985, 50896, 52547, 51072, 53422, 50442, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59484, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 53934, 52396, 50953, 51090, 54318, 62925, 51054, 79073, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50824, 56213, 51072, 50929, 51566, 51076, 51072, 51067, 51290, 52252, 51072, 57456, 57297, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 58892, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 51239, 50883, 52534, 51745, 53605, 60255, 54055, 50909, 52536, 52724, 50846, 52760, 50846, 52118, 50846, 51784, 53435, 53250, 51184, 51716, 51795, 51320, 54404, 61792, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 60170, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53934, 52437, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 50824, 73560, 64922, 52777, 57318, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59311, 68490, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53871, 52493, 51276, 50581, 56262, 69742, 53605, 50817, 52724, 50846, 52760, 50846, 52118, 53871, 73744, 66331, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 50381, 52897, 60635, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 54499, 69574, 55245, 50953, 51066, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 50824, 50929, 51072, 51032, 59359, 62240, 62962, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 75455, 58892, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 54499, 77805, 56724, 50823, 52534, 51745, 53605, 63358, 51551, 50868, 51527, 50847, 51527, 52724, 50846, 52760, 50846, 52118, 50846, 51678, 51103, 51320, 57167, 52885, 50895, 56724, 50975, 50418, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 60170, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 51239, 50895, 56724, 53537, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 51454, 50929, 51454, 51032, 51055, 50903, 51636, 56724, 74512, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59311, 50964, 51045, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53871, 51044, 50895, 56724, 53925, 51019, 51237, 53605, 63358, 51196, 50868, 51527, 50850, 51196, 52724, 50846, 52760, 50846, 52118, 50846, 51701, 51103, 53422, 55066, 50975, 50442, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59484, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53934, 50818, 55066, 58348, 50964, 51237, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 51454, 50929, 51454, 51032, 51454, 52055, 51502, 50898, 61376, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 58892, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 51239, 50883, 55066, 50823, 52563, 51761, 54341, 61597, 51175, 50847, 51379, 50935, 51167, 52508, 50846, 52118, 50846, 52880, 50846, 52252, 50914, 53422, 55822, 50975, 50418, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 60170, 53620, 62437, 51014, 51439, 51014, 52508, 50846, 52118, 50846, 52880, 51239, 50895, 51652, 53537, 54318, 62437, 51379, 51439, 51167, 52508, 50846, 52118, 50846, 52880, 67936, 51054, 51076, 51054, 78462, 52471, 51110, 50903, 51636, 51652, 74512, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59311, 50927, 51045, 53620, 65413, 50921, 51840, 50921, 52508, 50846, 52118, 50846, 52880, 50846, 53608, 50897, 52358, 50883, 52522, 53925, 50953, 51237, 54341, 59482, 51196, 51257, 51356, 52508, 50846, 52118, 50846, 52880, 50846, 52547, 51103, 53422, 51831, 51300, 50442, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59484, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 53934, 52396, 51415, 51483, 54318, 50817, 52508, 50846, 52118, 50846, 52880, 67936, 51566, 51076, 51603, 51067, 51345, 52055, 51502, 50898, 62962, 53620, 50817, 52508, 50846 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 3495, 2214, 19, 10, 7212, 20889, 6, 4246, 2236, 1021, 2678, 29, 6, 21072, 6, 13305, 6, 3459, 9590, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 40286, 83, 406, 8, 211, 6, 2351, 10, 32625, 13569, 9862, 10686, 13, 3618, 930, 50, 2365, 9629, 6, 19, 10, 12405, 1619, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 51240, 50833, 74009, 51445, 52571, 50911, 51410, 50802, 51231, 50923, 51019, 69881, 51240, 53932, 51240, 53376, 50611, 53184, 51240, 53049, 51240, 53376, 50612, 50803, 52571, 51090, 51410, 50824, 51231, 69460, 51240, 53627, 50801, 55713, 62011, 78830, 52674, 51240, 50833, 51658, 62498, 53376, 50611, 54134, 51240, 54207, 51170, 73927, 53376, 50611, 50812, 52571, 50893, 51410, 50806, 51231, 55967, 51240, 53639, 51321, 59365, 64493, 54976, 54023, 50612, 66250, 51240, 53920, 51065, 57052, 64493, 57500, 50800, 52571, 50893, 51410, 50893, 51231, 64503, 51240, 50833, 50799, 51240, 53376, 50611, 50844, 62546, 51445, 54744, 51445, 51410, 51016, 51719, 51016, 51249, 51016, 51213, 67330, 51240, 53932, 51065, 56010, 62498, 53376, 50611, 52296, 51240, 53049, 51321, 64117, 78830, 53277, 50612, 65342, 51240, 53627, 50801, 68304, 64493, 50858, 51410, 50858, 51719, 50859, 51249, 56535, 51240, 50833, 51658, 64117, 78830, 53277, 50611, 50812, 52708, 51244, 51410, 50923, 51719, 50893, 51249, 69994, 51240, 54207, 51236, 59365, 53376, 50611, 50859, 51213, 55373, 51240, 53639, 51321, 71516, 64493, 59149, 52757, 50612, 50803, 51410, 50911, 51719, 50893, 51249, 50879, 51213, 55680, 51240, 53920, 51321, 57052, 64493, 55624, 50800, 51213, 54934, 51240, 50833, 51755, 57052, 78830, 53277, 50611, 50808, 60476, 52222, 56195, 52222, 52456, 52222, 51882, 52335, 51476, 50923, 51465, 50893, 51231, 50806, 51443, 51352, 50417, 51240, 53932, 51321, 64117, 53376, 50611, 52296, 51240, 53049, 50856, 57052, 53376, 50612, 50950, 51476, 50824, 51465, 51054, 51231, 69460, 51240, 53627, 50801, 62825, 58931, 78830, 64917, 51240, 50833, 51658, 57052, 53376, 50611, 54134, 51240, 54207, 51065, 64516, 62498, 53376, 50611, 50808, 51476, 50911, 51465, 50911, 51231, 67207, 51240, 53639, 51240, 64493, 53540, 54023, 50612, 66250, 51240, 53920, 51240, 64493, 57233, 50800, 51476, 50882, 51465, 50859, 51231, 50858, 51443, 54934, 51240, 50833, 51755, 52229, 70120, 53277, 50612, 53277, 50583, 51054, 60476, 50874, 56195, 50874, 52456, 50874, 51882, 50874, 52642, 50874, 51476, 50802, 51465, 50802, 51231, 50802, 51443, 52038, 50801, 52229, 63973, 54262, 50612, 50882, 60476, 51244, 56195, 51080, 52456, 51244, 51882, 51244, 52642, 51244, 51476, 53174, 51465, 52311, 51231, 51352, 51443, 51300, 50444, 52060, 55771, 53639, 51224, 57052, 54418, 51326, 50858, 51755, 51739, 52199, 55095, 50606, 50803, 52517, 51307, 52456, 51359, 51813, 51359, 52525, 51307, 51410, 50950, 51410, 50849, 51231, 50849, 51672, 50849, 54387, 50824, 51039, 57798, 50874, 51768, 51594, 55864, 50894, 51410, 50807, 71217, 51672, 64919, 51976, 66625, 63736, 50803, 62792, 51658, 51052, 56460, 50827, 51205, 53681, 50903, 51739, 70070, 54853, 50912, 51410, 50795, 51231, 50849, 51672, 50893, 52320, 57052, 53745, 50606, 55864, 54712, 50801, 50882, 51287, 51826, 53611, 51022, 51410, 50893, 51231, 50795, 51672, 50795, 54387, 50803, 60859, 51739, 50383, 52080, 52517, 50833, 52517, 51307, 52708, 51359, 51855, 51307, 51410, 51016, 51719, 50807, 72106, 53344, 54226, 50801, 50858, 51895, 50994, 50912, 51544, 50881, 50606, 55864, 50894, 53782, 55023, 51052, 62825, 53540, 51022, 51719, 50893, 51249, 50893, 51457, 50795, 65432, 51658, 51052, 54976, 50912, 51719, 50893, 51249, 50849, 51457, 50805, 61149, 51180, 63440, 52085, 53701, 50606, 50803, 78794, 51955, 51052, 62498, 57233, 50950, 51719, 50805, 51249, 50806, 51457, 55416, 51976, 54702, 51252, 61149, 51755, 51052, 52199, 54858, 50606, 50803, 53169, 50810, 53169, 51945, 52456, 52069, 51813, 51714, 51476, 50873, 51465, 50849, 51231, 50893, 51443, 50824, 51039, 50369, 52492, 51768, 52516, 57500, 50803, 51476, 50914, 51465, 50807, 51231, 53182, 51976, 55713, 54976, 54592, 50606, 50803, 62313, 51658, 51052, 52199, 50907, 50953, 62001, 68416, 60207, 50384, 52080, 51476, 50795, 51465, 50849, 51231, 51798, 50791, 57052, 53277, 50606, 55864, 57251, 51976, 50368, 51826, 54976, 50912, 51813, 50849, 51882, 50879, 52642, 50879, 51476, 51141, 51465, 51189, 51231, 50983, 51443, 50803, 60859, 52516, 56460, 50912, 51443, 54226, 51976, 62825, 52199, 50827, 52456, 50873, 51813, 50901, 51882, 50849, 51544, 50881, 50606, 55864, 53917, 53080, 51610, 51052, 60207, 54853, 50984, 53169, 50874, 53169, 50901, 52456, 50974, 51813, 50905, 51476, 50795, 51465, 50805, 51231, 50879, 71877, 51658, 51052, 56460, 54592, 50606, 50803, 53169, 50854, 53169, 50854, 52456, 51103, 51813, 51183, 51180, 62825, 54853, 50827, 51476, 51364, 51465, 51141, 51231, 51343, 71877, 51955, 52516, 64117, 71193, 52163, 72399, 61639, 54976, 50844, 57416, 51755, 51739, 52199, 55095, 50606, 50803, 52517, 51307, 52456, 51359, 51813, 51359, 52525, 51307, 51410, 50849, 51231, 50849, 51672, 50849, 54387, 50824, 51039, 57798, 50874, 51768, 51594, 55864, 50894, 51410, 50807, 71217, 51672, 64919, 51976, 66625, 63736, 50803, 62792, 51658, 51052, 56460, 50827, 51205, 53681, 50903, 51739, 70070, 54853, 50912, 51410, 50795, 51231, 50849, 51672, 50893, 52320, 57052, 53745, 50606, 55864, 54712, 50801, 50882, 51287, 51826, 53611, 51022, 51410, 50893, 51231, 50795, 51672, 50795, 54387, 50803, 60859, 51739, 50383, 52080, 52517, 50833, 52517, 51307, 52708, 51359, 51855, 51307, 51410, 51016, 51719, 50807, 72106, 53344, 54226, 50801, 50858, 51895, 50994, 50912, 51544, 50881, 50606, 55864, 50894, 53782, 55023, 51052, 62825, 53540, 51022, 51719, 50893, 51249, 50893, 51457, 50795, 65432, 51658, 51052, 54976, 50912, 51719, 50893, 51249, 50849, 51457, 50805, 61149, 51180, 63440, 52085, 53701, 50606, 50803, 78794, 51955, 51052, 62498, 57233, 50950, 51719, 50805, 51249, 50806, 51457, 55416, 51976, 54702, 51252, 61149, 51755, 51052, 52199, 54858, 50606, 50803, 53169, 50810, 53169, 51945, 52456, 52069, 51813, 51714, 51476, 50873, 51465, 50849, 51231, 50893, 51443, 50824, 51039, 50369, 52492, 51768, 52516, 57500, 50803, 51476, 50914, 51465, 50807, 51231, 53182, 51976, 55713, 54976, 54592, 50606, 50803, 62313, 51658, 51052, 52199, 50907, 50953, 62001, 68416, 60207, 50384, 52080, 51476, 50795, 51465, 50849, 51231, 51798, 50791, 57052, 53277, 50606, 55864, 57251, 51976, 50368, 51826, 54976, 50912, 51813, 50849, 51882, 50879, 52642, 50879, 51476, 51141, 51465, 51189, 51231, 50983, 51443, 50803, 60859, 52516, 56460, 50912, 51443, 54226, 51976, 62825, 52199, 50827, 52456, 50873, 51813, 50901, 51882, 50849, 51544, 50881, 50606, 55864, 53917, 53080, 51610, 51052, 60207, 54853, 50984, 53169, 50874, 53169, 50901, 52456, 50974, 51813, 50905, 51476, 50795, 51465, 50805, 51231, 50879, 71877, 51658, 51052, 56460, 54592, 50606, 50803, 53169, 50854, 53169, 51183, 52456, 51103, 51813, 51183, 51180, 62825, 54853, 50827, 51476, 51364, 51465, 51141, 51231, 51343, 71877, 51955, 52516, 64117, 71193, 52163, 72399, 61639, 54976, 50844, 57416, 51755, 51739, 52199, 55095, 50606, 50803, 51813, 50833, 51813, 51307, 52525, 51359, 52086, 51307, 51231, 50849, 51672, 50849, 51457, 50849, 51443, 50824, 51039, 57798, 50874, 51768, 51594, 55864, 50894, 71217, 51672, 50807, 51457, 64919, 51976, 66625, 63736, 50803, 60264, 51658, 51052, 56460, 50827, 50927, 53681, 50903, 51739, 70070, 54853, 50912, 51231, 50795, 51672, 50849, 51457, 50893, 52320, 57052, 53745, 50606, 55864, 54712, 50801, 50882, 51287, 51826 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 1619, 16464, 6, 4246, 38668, 18569, 6, 21979, 8669, 6, 13305, 6, 21072, 6, 8, 2236, 1021, 2678, 29, 4, 20, 33301, 16, 278, 11, 5, 762, 9, 211, 538, 6, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 272, 6, 83, 6, 163, 119, 6, 272, 6, 83, 3639, 7, 5, 2214, 18, 32625, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 76501, 53956, 50824, 51131, 50824, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 56817, 50862, 54030, 51761, 62305, 64257, 50854, 51169, 50862, 50947, 51761, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 50818, 57106, 61846, 62606, 51078, 51300, 53758, 53710, 55920, 50927, 52472, 54988, 58073, 59806, 53825, 51594, 54712, 50927, 50846, 53807, 52516, 50882, 50929, 60343, 57106, 51045, 51078, 51045, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 53807, 57520, 62606, 50929, 51029, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 50846, 53136, 61846, 62606, 50960, 51300, 56903, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 50828, 53807, 55589, 50882, 50929, 75486, 57106, 51033, 51078, 51033, 52534, 50938, 53460, 51307, 53278, 51264, 52507, 51264, 53807, 57520, 62606, 50929, 51029, 51402, 54718, 50964, 52808, 54856, 58073, 59806, 53825, 51594, 54154, 50964, 50846, 53136, 55877, 62606, 50960, 50976, 56107, 56022, 55920, 61415, 53136, 50810, 54173, 51454, 50852, 50882, 69125, 50998, 51454, 50450, 58073, 59806, 53825, 51594, 54712, 50964, 50846, 53136, 75122, 50882, 50960, 51352, 52288, 50938, 56035, 51264, 52583, 51264, 53654, 51307, 62305, 50882, 51402, 55446, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 53871, 62606, 53758, 56022, 55920, 65896, 54984, 54988, 53956, 50993, 58073, 59806, 53825, 62606, 51131, 61828, 50927, 51044, 50882, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 56817, 50862, 54030, 51761, 62305, 64257, 50874, 51169, 50862, 50947, 51761, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 50818, 52708, 50893, 57106, 61846, 62606, 51078, 51300, 53758, 50865, 52456, 53417, 55920, 56735, 52517, 51290, 50852, 54988, 58073, 59806, 53825, 51594, 54712, 50927, 50846, 53807, 52516, 50882, 50929, 60343, 57106, 51045, 51078, 51045, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 53807, 57520, 62606, 50929, 51029, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 50846, 52456, 50893, 53136, 61846, 62606, 50960, 51300, 56903, 50938, 52517, 53417, 55920, 62008, 52456, 51095, 52723, 51104, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 50828, 53807, 55589, 50882, 50929, 75486, 57106, 51033, 51078, 51033, 52534, 50938, 53460, 51307, 53278, 51264, 52507, 51264, 53807, 57520, 62606, 50929, 51029, 51402, 54718, 50964, 52808, 54856, 58073, 59806, 53825, 51594, 54154, 50964, 50846, 53136, 55877, 62606, 50960, 50976, 56107, 56022, 55920, 61415, 53136, 50810, 54173, 51454, 50852, 50882, 69125, 50998, 51454, 50450, 58073, 59806, 53825, 51594, 54712, 50964, 50846, 53136, 75122, 50882, 50960, 51352, 52288, 50938, 56035, 51264, 52583, 51264, 53654, 51307, 52723, 51104, 50894, 50427, 52708, 56896, 52708, 64104, 51813, 62789, 52708, 51566, 50852, 54988, 58073, 59806, 53825, 54403, 52456, 51012, 52288, 50830, 52517, 51496, 69040, 51714, 62305, 50882, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 55920, 50927, 52472, 54988, 52708, 51566, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 52456, 51496, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871, 51594, 55381, 51019, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 51187, 50882, 52534, 50938, 51813, 51045, 75884, 51714, 62305, 50882, 51402, 54718, 69161, 51813, 51594, 54856, 51813, 53277, 50560, 59806, 53825, 51594, 70328, 51813, 57359, 50964, 53871, 51594, 55381, 74100, 51813, 56351, 55920, 50964, 52472, 54988, 51855, 52180, 50560, 59806, 53825, 51594, 54712, 50964, 50846, 51855, 61751, 50882, 52288, 50938, 69040, 51714, 62305, 65108, 52708, 51505, 51402, 55446, 50927, 52201, 54856, 52708, 54262, 50560, 59806, 53825, 51594, 54154, 50927, 50846, 52708, 56728, 62606, 53758, 50938, 51813, 54196, 50882, 50443, 52708, 73087, 65896, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 50927, 50818, 52456, 54444, 50882, 52288, 50830, 52517, 50896, 69040, 51714, 62305, 50882, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 55920, 50927, 52472, 54988, 52708, 51160, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 52456, 51541, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871, 51594, 55381, 51019, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 51187, 72023, 51813, 51033, 52534, 50938, 75884, 51714, 62305, 50882, 51402, 50858, 50419, 51813, 55446, 50964, 52808, 50882, 50425, 51813, 54856, 58073, 59806, 53825, 51594, 70328, 51813, 56257, 50964, 53871, 62606, 50437, 51813, 51090, 56107, 56022, 55920, 50964, 52472, 54988, 52708, 50921, 58073, 59806, 53825, 51594, 50894, 50455, 52456, 56210, 50964, 51239, 50882, 52288, 50938, 52517, 50806, 69040, 51714, 62305, 50882, 51402, 55446, 56735, 52708, 51864, 50882, 50425, 52708, 52422, 58073, 59806, 53825, 51594, 70328, 52708, 57611, 50927, 53871, 62606, 53758, 50938, 51813, 54196, 55920, 56735, 51855, 51286, 52723, 51104, 54988, 58073, 59806, 53825, 51594, 54403, 50927, 50818, 51855, 51575, 50882, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 52708, 51427, 69040, 51714, 62305, 64257, 50874, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 50882, 50443, 54744, 56646, 50927, 52472, 54988, 52708, 50806, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 52456, 51541, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871, 51594, 55381, 51019, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 62606, 50455, 52517, 63109, 51019, 51187, 50882, 52534, 50938, 53460, 51307, 53278, 51264, 52507, 51264, 51813, 50921, 75884, 51714, 62305, 50882, 51402, 54718, 69161, 51813, 51508, 54856, 51813, 52965, 50560, 59806, 53825, 51594, 54154, 50964, 50846, 51813, 54451, 51594, 55381, 74100, 51813, 54444, 55920, 61415, 52708, 51167, 50852, 54988, 58073, 59806, 53825, 51594, 54712, 50964, 50846, 52456, 51575, 50882, 52288, 50938, 56035, 51264, 52583, 51264, 53654, 51307, 52517, 50806, 69040, 51714, 62305, 50882, 51402, 55446, 50927, 52201, 54856, 52708, 50388, 66760, 59806, 53825, 51594, 70328, 52708, 52309, 50927, 53871, 62606, 53758, 50938, 51813, 55043, 55920, 56735, 52708, 51160, 52723, 51104, 54988, 58073, 59806, 53825, 51594, 54403, 50927, 50818, 52456, 51575, 50882, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 52517, 51160, 69040, 51714, 62305, 50882, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 55920, 50927, 52472, 54988, 52708, 50980, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 52456, 51226, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871 ]
[ 0, 250, 182, 1769, 12, 20764, 6, 765, 5175, 37903, 11, 230, 10431, 3694, 6, 4246, 10, 5679, 26709, 8, 2933, 2369, 18795, 1412, 30, 5, 13602, 6757, 6, 38668, 22052, 6, 8, 38668, 2236, 6, 19, 17288, 1271, 7, 5, 14073, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50644, 50417, 55463, 74377, 55463, 59959, 55463, 73064, 55463, 58981, 55463, 50975, 50459, 53256, 50975, 56654, 51407, 59802, 52045, 52582, 52045, 55746, 57537, 51059, 50441, 57537, 51059, 50453, 54676, 50975, 50799, 54676, 59216, 54676, 60363, 54676, 58981, 54476, 50975, 55425, 51407, 52736, 52045, 50799, 59088, 53681, 55463, 58981, 55463, 50975, 50459, 55463, 50975, 52591, 55463, 50975, 50429, 55463, 60363, 53256, 50975, 56654, 51184, 52582, 52045, 50453, 57537, 51059, 52591, 57537, 68025, 54676, 73064, 54676, 75255, 54676, 50975, 52177, 54676, 50975, 50429, 55425, 51059, 52736, 52045, 50441, 59088, 50824, 66243, 54801, 58919, 53281, 75255, 56654, 51184, 50456, 53815, 51059, 50799, 53815, 62568, 53815, 50975, 50799, 53815, 59216, 53281, 50975, 55425, 51184, 52736, 52045, 50435, 53815, 73704, 53815, 50975, 50459, 53281, 50975, 55746, 53815, 75255, 54801, 50975, 52177, 53281, 50975, 50429, 53815, 51059, 50447, 53815, 50975, 56085, 51184, 52252, 52045, 79254, 53815, 73064, 53815, 75255, 53281, 50975, 55425, 51184, 59802, 52045, 52736, 52045, 52177, 53815, 59216, 53815, 60363, 53281, 58981, 53815, 50975, 50796, 50435, 54801, 73704, 53281, 59315, 56654, 51184, 52582, 52045, 50459, 53815, 51059, 52177, 53815, 51066, 50453, 53815, 50975, 52177, 53815, 50975, 50429, 53281, 50975, 55425, 51184, 52736, 52045, 50438, 53815, 58981, 53815, 50975, 50799, 53281, 50975, 50429, 53815, 59315, 54801, 50975, 52591, 53281, 59959, 53815, 63399, 53815, 50975, 56085, 51184, 52252, 52045, 66243, 53815, 58919, 53815, 59315, 53281, 50975, 55425, 51184, 52736, 52045, 52591, 53815, 50975, 50429, 53815, 73064, 53281, 75255, 53815, 50975, 50777, 50313, 52045, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 5175, 1619, 2214, 4246, 10, 13305, 483, 7513, 30, 26432, 636, 3938, 22052, 6, 1076, 560, 31365, 25999, 6, 38668, 22052, 6, 8, 3459, 9590, 4, 20, 33301, 16, 1490, 198, 5, 40286, 163, 406, 6, 381, 6, 83, 6, 8, 381, 6, 2351, 10, 32076, 8, 19448, 5466, 4, 590, 10, 7212, 20889, 9, 15966, 13410, 228, 2289, 6, 42, 2214, 11, 5, 762, 9, 381, 538, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50796, 50796, 50439, 57619, 51454, 50450, 51956, 50451, 54377, 77058, 51468, 58201, 50835, 52288, 51013, 52660, 50857, 51614, 54527, 54816, 50862, 54116, 50862, 59535, 50854, 57355, 50975, 52582, 52121, 52009, 52121, 51701, 52121, 52553, 53203, 52660, 50857, 51440, 51977, 59535, 50862, 54816, 50862, 54116, 50862, 60656, 52660, 50857, 51669, 51300, 57355, 55964, 51467, 63740, 52953, 50927, 51189, 52660, 50857, 52043, 50911, 54816, 50862, 54116, 50862, 59535, 50862, 54560, 51030, 52553, 52742, 52660, 50857, 53335, 51184, 57355, 51735, 76552, 52660, 50857, 54116, 50862, 59535, 50862, 54816, 50862, 51895, 51765, 58145, 54560, 52175, 52660, 50857, 51669, 51977, 54816, 50862, 54116, 50862, 59535, 60629, 51406, 53217, 52660, 50857, 51440, 51336, 54699, 51407, 51970, 52288, 51203, 52660, 50857, 54816, 50862, 54116, 50862, 59535, 53630, 51041, 52944, 52660, 50857, 59535, 50854, 54816, 50862, 54116, 50862, 59195, 52660, 62156, 51467, 62669, 52818, 50927, 51047, 52660, 50857, 51614, 52311, 54816, 50862, 54116, 50862, 59535, 53630, 51041, 52896, 52660, 50857, 51440, 51552, 57619, 51735, 51956, 50444, 52660, 50857, 51669, 51016, 53335, 50896, 54116, 50862, 59535, 50862, 54816, 50862, 51927, 51765, 53057, 52660, 50857, 54816, 50862, 54116, 50862, 59535, 50862, 54377, 51090, 55722, 53017, 52660, 50857, 51440, 51189, 51960, 53285, 51159, 52887, 50857, 52806, 51538, 52043, 54454, 52361, 55362, 54148, 50862, 54116, 50862, 58569, 50862, 54560, 51460, 52091, 52121, 51701, 52121, 52736, 52121, 52553, 53023, 52887, 50857, 54148, 50862, 58569, 50862, 54116, 50862, 51970, 50425, 54560, 52038, 52887, 50857, 51660, 51896, 57653, 68256, 52953, 51069, 51127, 52887, 50857, 51440, 51161, 54148, 50862, 54116, 50862, 58569, 50862, 54699, 51030, 52553, 53115, 52887, 50857, 54560, 51090, 51956, 50444, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 51895, 51765, 52772, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 50862, 54699, 50802, 55722, 53217, 52887, 50857, 60530, 53174, 51960, 53285, 50873, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 52944, 52887, 50857, 51660, 53241, 58569, 50862, 54148, 50862, 54116, 50862, 60656, 52887, 50857, 51440, 51192, 55722, 68256, 53031, 51069, 51127, 52887, 50857, 51808, 51286, 52043, 51977, 54148, 50839, 54116, 50862, 58569, 53630, 51041, 52904, 52887, 50857, 52361, 51870, 76552, 52887, 50857, 51440, 51016, 54116, 50862, 54148, 50862, 58569, 50862, 51895, 51765, 52743, 52887, 50857, 58569, 50862, 54148, 50854, 54116, 50862, 58003, 50860, 59491, 53137, 52887, 50857, 60530, 51033, 52008, 50461, 52252, 52121, 52009, 52121, 53400, 50943, 52645, 50857, 51660, 51655, 51929, 53898, 51808, 55362, 54148, 50862, 54824, 50862, 59535, 50854, 54699, 50975, 52398, 52121, 52553, 53023, 52645, 50857, 59676, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50854, 54699, 50802, 55722, 68256, 52818, 51019, 51047, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 60530, 50936, 52553, 52904, 52645, 50857, 54699, 51932, 64864, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 51927, 51765, 52772, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 57355, 50923, 55722, 53217, 52645, 50857, 54560, 53241, 51983, 53400, 51177, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53023, 52645, 50844, 51660, 52536, 59535, 50862, 54148, 50862, 54824, 50862, 59676, 52645, 50857, 51929, 52827, 59491, 68256, 52953, 51019, 51145, 52645, 50857, 51808, 51977, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53018, 52645, 50857, 51956, 50444, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 52352, 51765, 53057, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 66964, 50993, 59491, 53137, 52645, 50857, 51970, 50461, 57619, 56094, 52736, 52121, 51701, 52121, 53285, 51312, 52887, 50857, 52435, 53898, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 52944, 52887, 50857, 51660, 53898, 58569, 50862, 54148, 50862, 54116, 50862, 57451, 52887, 50857, 51440, 56073, 59491, 68256, 53063, 51069, 51448, 52887, 50857, 51808, 51184, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53115, 52887, 50844, 51960, 50444, 52887, 50857, 52361, 52369, 54116, 50862, 54148, 50862, 58569, 50862, 51927, 51765, 53057, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 63088, 51187, 53017, 52887, 50857, 52043, 51655, 51960, 53285, 51177, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53023, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 59676, 52887, 62156, 51187, 68256, 52953, 51069, 51295, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53115, 52887, 50857, 52361, 50976, 51468, 50441, 51808, 57565, 52887, 50834, 51440, 51226, 58569, 50862, 54148, 50862, 54116, 50862, 52352, 51765, 53068, 70498, 52887, 50857, 51660, 53898, 54148, 50862, 54116, 50862, 58569, 63088, 51044, 53137, 51213, 50845, 52887, 50857, 52435, 52195, 73693, 50799, 54103, 51573, 51069, 51121, 52887, 50857, 51440, 53363, 52361, 52382, 54148, 50862, 54116, 50862, 58569, 50862, 51701, 52121, 52736, 52121, 52091, 52121, 52553, 53420, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 60656, 52887, 50857, 52029, 51765, 52818, 54103, 51014, 51069, 51397, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53018, 54103, 51235, 52887, 50857, 64864, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 51927, 51765, 52802, 54103, 50936, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 63088, 51044, 53137, 54103, 51472, 52887, 50857, 51960, 53285, 51242, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53023, 52887, 50857, 51660, 53898, 58569, 50862, 54148, 50862, 54116, 50862, 60656, 52887, 50857, 51440, 51685, 52029, 51765, 52417, 54103, 50806, 51069, 51448, 52887, 50857, 52361, 51685, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 52896, 55822, 51566, 52887, 50857, 64864, 52887, 50857, 51808, 50980, 58569, 50862, 54148, 50862, 54116, 50862, 51895, 51765, 52772, 55066, 51016, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 63088, 51179, 53137, 52887, 50857, 51440, 50830, 51983, 50460, 52252, 52121, 52009, 52121, 52398, 52121, 50799, 58220, 51016, 51019, 51212, 52645, 50857, 51929, 51362, 51808, 53898, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53203, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 59676, 55822, 52266, 52645, 50857, 52029, 51765, 52417, 51019, 51047, 52645, 50857, 51660, 51933, 51929, 52392, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53018, 52645, 50857, 80186, 52645, 50857, 54824, 50862, 59535, 50862, 54148, 50862, 51927, 51765, 53057, 52645, 50857, 51924, 52442, 54148, 50862, 54824, 50862, 59535, 63088, 51179, 53137, 52645, 50857, 51960, 53400, 51337, 52645, 50844, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53023, 52645, 50857, 51660, 51585, 59535, 50862, 54148, 50862, 54824, 50862, 60656, 52645, 50844, 51929, 52266, 51248, 51765, 52818, 51019, 51244, 52645, 50857, 51808, 52311, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 52742, 52645, 50857, 80186, 52645, 50857, 54824, 50862, 54148, 50862, 59535, 50862, 51927, 51765, 52772, 52457, 51021, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 63088, 51044, 53137, 52457, 50936, 52645, 50844, 51970 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 3152, 16882, 6, 17407, 30, 63, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 6, 278, 11, 5, 762, 9, 230, 538, 6, 1575, 10, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 38668, 11212, 6, 8, 81, 9756, 8669, 4, 20, 15229, 7630, 6568, 10, 3344, 9, 8597, 6, 217, 657, 6, 15073, 6, 8, 9066, 1007, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 76501, 51461, 50808, 52047, 50854, 51118, 50822, 51767, 55508, 55552, 51273, 50874, 51763, 50874, 69360, 51409, 52972, 52884, 51140, 50800, 51616, 50854, 79868, 51498, 53376, 50578, 54871, 51273, 50833, 51763, 50822, 72154, 51409, 50942, 51326, 50949, 53975, 50959, 51050, 51095, 50871, 68721, 51380, 51140, 51285, 51616, 51110, 51118, 50878, 51061, 51080, 51498, 51226, 51164, 51060, 77922, 50872, 51157, 69816, 57697, 51080, 53460, 51671, 52693, 51314, 52684, 74260, 50993, 51206, 53213, 50900, 51166, 51201, 50884, 51284, 50962, 51690, 50829, 52487, 50818, 51118, 52048, 50885, 62718, 53578, 51050, 51411, 51201, 50834, 51690, 50846, 51616, 52188, 51164, 51060, 53523, 50955, 50871, 68691, 51157, 51201, 50890, 51284, 50880, 51304, 50930, 51690, 50884, 53506, 50930, 51023, 50981, 51347, 51073, 51497, 60798, 51111, 50872, 51048, 50850, 51157, 50816, 54158, 52726, 50900, 51079, 51201, 50895, 51284, 50930, 51690, 50884, 52487, 50883, 51616, 51524, 51118, 52378, 51498, 50987, 51164, 58618, 53785, 51050, 50851, 51140, 79272, 54327, 50930, 55203, 52415, 50296, 75569, 65503, 51267, 73750, 51493, 50812, 51815, 51212, 51089, 51542, 51020, 51490, 51347, 50844, 51580, 51121, 51404, 51159, 51217, 51177, 51164, 50971, 65998, 79493, 71143, 64638, 51183, 52507, 63346, 60901, 53525, 53885, 50900, 51432, 51493, 51364, 51266, 50895, 51182, 51031, 51733, 50884, 51926, 51031, 51118, 51703, 51347, 51254, 65999, 50847, 62285, 54158, 53851, 51315, 51191, 51266, 50846, 51733, 50818, 51815, 52048, 51580, 51177, 51217, 51346, 55895, 78721, 61928, 51157, 50877, 51159, 70054, 77584, 51304, 50880, 51733, 50884, 53506, 50883, 51092, 51542, 67677, 51404, 51016, 73424, 50868, 51290, 50847, 66404, 54158, 52193, 50900, 51376, 51266, 50884, 77584, 51733, 50818, 51926, 50883, 51089, 51254, 51580, 65262, 64267, 59426, 51815, 51524, 51580, 50904, 51217, 53228, 70359, 50817, 54206, 52415, 50294, 51337, 67104, 77116, 51273, 51661, 51763, 51337, 51061, 51637, 51023, 52916, 51347, 50825, 51409, 51095, 51200, 51056, 51188, 51253, 51171, 50938, 61995, 50872, 51157, 50850, 51157, 62251, 51183, 52583, 51447, 52693, 51447, 52684, 73506, 55415, 52302, 50899, 51254, 51107, 50895, 51201, 51031, 51384, 50884, 51690, 51031, 51118, 51490, 57724, 50856, 58980, 51120, 51337, 51107, 50818, 51384, 50841, 51763, 51961, 51409, 50972, 53337, 62646, 61915, 51127, 51107, 51010, 73649, 51284, 51010, 51384, 50818, 52487, 50883, 51092, 51380, 51200, 51286, 51188, 51013, 59379, 50872, 51048, 50850, 68629, 54158, 52265, 51120, 50892, 51107, 50883, 51201, 50949, 51384, 50818, 51690, 50883, 51061, 51470, 51409, 72024, 62718, 53785, 51273, 50855, 51200, 50822, 51171, 53228, 52444, 73630, 51085, 51328, 50916, 51312, 51461, 50859, 52047, 51309, 51089, 51391, 51200, 50941, 51767, 51100, 51347, 51056, 51332, 51100, 50885, 50897, 50868, 51157, 72681, 67375, 51183, 53278, 60881, 52229, 54129, 51200, 59500, 52940, 73487, 51461, 51343, 51093, 50895, 51201, 50949, 51304, 50884, 51690, 50961, 51118, 52519, 51200, 51254, 50885, 59810, 54158, 54623, 55551, 51085, 51480, 51093, 50841, 51304, 50839, 52047, 51576, 51767, 51100, 51332, 55758, 50916, 51055, 50877, 51157, 51093, 50930, 51201, 50962, 51284, 50880, 51304, 50884, 52487, 50895, 51023, 51091, 51347, 51159, 51200, 60798, 50910, 50868, 51566, 50850, 53030, 54158, 54085, 51332, 56974, 50900, 51174, 51093, 50895, 51201, 51010, 51304, 50818, 51690, 50961, 51089, 51753, 51767, 79502, 62718, 54623, 53902, 51085, 50907, 52047, 51252, 51332, 54546, 50961, 54578, 51242, 51234, 51562, 50899, 51145, 52157, 51761, 51165, 50883, 51107, 50895, 51394, 50834, 51384, 50829, 53707, 51244, 51083, 51961, 51061, 51490, 52551, 51095, 51498, 50807, 51583, 51003, 52021, 51111, 51037, 50925, 69385, 78114, 64036, 51148, 54522, 51080, 52583, 51145, 52693, 61619, 52229, 52302, 51093, 50841, 51266, 50846, 51304, 50841, 51733, 50828, 51557, 51627, 51037, 59810, 52229, 53578, 50997, 51212, 51616, 52378, 52551, 51328, 52021, 51100, 60564, 51346, 63571, 51107, 51031, 51201, 50895, 51384, 50828, 51690, 50846, 51193, 51419, 51498, 51121, 51583, 50943, 79398, 72798, 50872, 51157, 50816, 57996, 52265, 50997, 50955, 51165, 50884, 51107, 50949, 51394, 50841, 51384, 50841, 51083, 51174, 52551, 50866, 52021, 57468, 56183, 53785, 51234, 50851, 52157, 50890, 51498, 50971, 51037, 61888, 52444, 50916, 65792, 51312, 51027, 51535, 52419, 50859, 51488, 50883, 51266, 50846, 51905, 50895, 51733, 50841, 52124, 51244, 51495, 51862, 51089, 51490, 51200, 51253, 51580, 51381, 51571, 51562, 51688, 60391, 51048, 50868, 51346, 56035, 51353, 55080, 51148, 52684, 63854, 52229, 50817, 53525, 55933, 50916, 51006, 52419, 51500, 51107, 50930, 51201, 50887, 51384, 50841, 51733, 50829, 51690, 50828, 51495, 52188, 50946, 51480, 50798, 57996, 53851, 51279, 51775, 51282, 51679, 51688, 59881, 51040, 72456, 68721, 51312, 51266, 50887, 51182, 50890, 51733, 50839, 51926, 50841, 51023, 51397, 51200, 51345, 51017, 51173, 50868, 51227, 50816, 54286, 54085, 51216, 50897, 51688, 58760, 68793, 50861, 51376, 51493, 50844, 51488, 50883, 51266, 50846, 51905, 50818, 51733, 50820, 51495, 50972, 51580, 61128, 77777, 53349, 54623, 57841, 51279, 50907, 52419, 50808, 51571, 50822, 51017, 55071, 51031, 54206, 52415, 50294, 51233, 50871, 68721, 51199, 51273, 51364, 51107, 50890, 51201, 50890, 51384, 50829, 51690, 50820, 51763, 51423, 51083, 51314, 51061, 51961, 51409, 51095, 51200, 50914, 51188, 74424, 51158, 50848, 51159, 76686, 62251, 51145, 52693, 74744, 52229, 52302, 50899, 51254, 51266, 50890, 72325, 51733, 50820, 51926, 50839, 51282, 51965, 50946, 51480, 50798, 57996, 53578, 51120, 51025, 51763, 51961, 51409, 51242, 51171, 51025, 53337, 50925, 50871, 71004, 51159, 79638, 51284, 50887, 51690, 50839, 52487, 50839, 51023, 51109, 51200, 51212, 51188, 51097, 50848, 51157, 50872, 67771, 51346, 50816, 54158, 52265, 63383, 51273, 50836, 51107, 50884, 51201, 50895, 51384, 50837, 51690, 50835, 51061, 51642, 51409, 50959, 50946, 57075, 53785, 51120, 50941, 51273, 50971, 51200, 50851, 51171, 56394, 54292, 50916, 51568, 50296, 51194, 50861, 51411, 51493, 51013, 51266, 51058, 51182, 50892, 51733, 50971, 51926, 50941, 51815, 51080, 51089, 51637, 51020, 51243, 51580, 51095, 51404, 51749, 51217, 51100, 74232, 50868, 55969, 51025, 64638, 51535, 53278, 51965, 52507, 51878, 50798, 54046, 50817, 53525, 68626, 53675, 50916, 51484, 51201, 53010, 51284, 51432, 51690, 51000, 52487, 51126, 51118, 52916, 50885, 71732, 57996, 53851, 51315, 51419, 51580, 52441, 51217, 51162, 51769, 52568, 50861, 72597, 51312, 51984, 51048, 51182, 52011, 51394, 53010, 51926, 53838, 53089, 52179, 51092, 55490, 51185, 50941, 65671, 50909, 51411, 53465, 53957, 51224, 51663, 54085, 66329, 50456, 50916, 51376, 51266, 53010, 51733, 54861, 51089, 51210, 50868, 62718, 53736, 52487, 57912, 51217, 50864, 70564, 61124, 51284, 65825, 51690, 63510, 51616, 52528, 51061, 52147, 51164, 51101, 67637, 77548, 65336, 50909, 51199, 57697, 53577, 53460, 55812, 52684, 55002, 55290, 51335, 53821, 52628, 51667, 50941, 50885, 65178, 76972, 56076, 51667, 50971, 51164, 71266, 51667, 50844, 50885, 52482, 78762, 50850, 51145, 50909, 73570, 50987, 50920, 50812, 50428, 51721, 74308, 51643, 70057, 51164, 79627, 56788 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 278, 11, 10, 38451, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 22750, 1626, 1313, 1007, 4, 27901, 10, 20535, 2810, 6, 3459, 8669, 6, 21072, 6, 8, 9590, 6, 24, 30853, 11, 5, 762, 9, 272, 538, 6, 19, 10, 33215, 13931, 9, 163, 119, 406, 6, 381, 6, 8, 272, 73, 387, 4, 20, 14899, 2574, 9, 5, 2125, 31473, 1495, 157, 7, 3618, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 50796, 52563, 51354, 51098, 50975, 51195, 51242, 51355, 51328, 57946, 55438, 56130, 57474, 55438, 50424, 72998, 51493, 50802, 51195, 51058, 51250, 58266, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 65609, 51216, 51012, 51250, 51043, 51780, 62400, 55438, 55935, 55466, 52676, 73872, 53303, 51156, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 68755, 51273, 51033, 51350, 50833, 51355, 53199, 55438, 50448, 51019, 50890, 51493, 50962, 51195, 50829, 51250, 52275, 52568, 64483, 70477, 50895, 51098, 50911, 51350, 50867, 51355, 53197, 75519, 51156, 55438, 50454, 51250, 50829, 51780, 55785, 52193, 66827, 51493, 50860, 73264, 51355, 51589, 55498, 50460, 51195, 50834, 51250, 62248, 63182, 50971, 52563, 51388, 61595, 50828, 51098, 50976, 73264, 51355, 53948, 51331, 55438, 50418, 51195, 50829, 51250, 51792, 52302, 51350, 50833, 51355, 54447, 51625, 75564, 72998, 51493, 50802, 51195, 50834, 51250, 51792, 52630, 77071, 51355, 53197, 75519, 51331, 51625, 58459, 51250, 50834, 51780, 52132, 52265, 51011, 51388, 51216, 50976, 73264, 51355, 51589, 55438, 50436, 51195, 50829, 51250, 55018, 55466, 52676, 51350, 50857, 51355, 53948, 51156, 51625, 60681, 51019, 50930, 51493, 51010, 51195, 65803, 54518, 52084, 52267, 70429, 51273, 50821, 51350, 50833, 51355, 53835, 56914, 55438, 50448, 51019, 50890, 51493, 50930, 51195, 65803, 55136, 55607, 52568, 75825, 51098, 51014, 80072, 51355, 54923, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 50962, 51250, 50820, 51780, 56375, 52193, 58883, 51273, 50858, 51350, 69691, 54447, 55438, 50460, 51019, 50880, 51493, 50962, 51195, 50829, 51250, 55018, 52084, 50817, 52563, 51354, 51098, 50975, 51350, 50825, 51355, 51233, 57946, 55438, 56130, 57474, 55438, 50424, 72998, 51493, 50802, 51195, 50892, 51250, 51242, 50832, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 65609, 51216, 51012, 51250, 50892, 51780, 57154, 55438, 55935, 55466, 50817, 69832, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 68755, 51273, 51033, 51350, 50844, 51355, 51589, 55438, 50448, 51019, 50890, 51493, 50962, 51350, 50891, 51250, 52132, 52568, 64483, 51098, 50911, 51350, 50867, 51355, 53970, 75519, 51156, 55438, 50454, 51350, 50835, 51780, 56375, 52193, 66827, 51493, 50860, 51350, 69691, 56558, 54132, 60488, 51350, 50825, 51250, 54894, 52084, 50817, 52563, 51388, 51098, 50976, 51350, 69691, 54923, 51331, 55438, 50418, 51350, 50834, 51780, 51792, 52302, 51350, 69691, 51589, 51625, 75564, 72998, 51493, 50802, 51350, 50835, 51250, 52144, 52630, 51350, 69691, 53970, 75519, 51331, 51625, 58459, 51195, 50825, 51250, 57296, 52265, 51011, 51388, 51216, 54589, 55438, 55935, 55466, 50817, 69832, 51625, 60681, 51019, 50930, 51493, 51010, 51545, 50825, 51350, 54518, 54736, 55607, 52267, 70429, 51273, 50821, 51265, 51126, 51195, 55234, 56914, 55438, 50448, 51019, 50890, 51493, 50930, 51545, 50835, 51350, 54534, 55607, 52568, 75825, 51098, 51014, 71887, 51250, 54438, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 50962, 51545, 50837, 51350, 51909, 52193, 58883, 51273, 50858, 51265, 50941, 51195, 56558, 55438, 50460, 51019, 50880, 51493, 50962, 51545, 50813, 51350, 54597, 52084, 50817, 52563, 51354, 51098, 50975, 51195, 51242, 51355, 51328, 57946, 55438, 56130, 57474, 55438, 50424, 72998, 51493, 50802, 51195, 51058, 51250, 58266, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 65609, 51216, 51012, 51250, 51043, 51780, 62400, 55438, 55935, 55466, 52676, 73872, 53303, 51156, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 68755, 51273, 51033, 51350, 50833, 51355, 53199, 55438, 50448, 51019, 50890, 51493, 50962, 51195, 50829, 51250, 52275, 52568, 64483, 70477, 50895, 51098, 50911, 51350, 50867, 51355, 53197, 75519, 51156, 55438, 50454, 51250, 50829, 51780, 55785, 52193, 66827, 51493, 50860, 73264, 51355, 51589, 55498, 50460, 51195, 50834, 51250, 62248, 63182, 50971, 52563, 51388, 61595, 50828, 51098, 50976, 73264, 51355, 53948, 51331, 55438, 50418, 51195, 50829, 51250, 51792, 52302, 51350, 50833, 51355, 54447, 51625, 75564, 72998, 51493, 50802, 51195, 50834, 51250, 51792, 52630, 77071, 51355, 53197, 75519, 51331, 51625, 58459, 51250, 50834, 51780, 52132, 52265, 51011, 51388, 51216, 50976, 73264, 51355, 51589, 55438, 50436, 51195, 50829, 51250, 55018, 55466, 52676, 51350, 50857, 51355, 53948, 51156, 51625, 60681, 51019, 50930, 51493, 51010, 51195, 65803, 54518, 52084, 52267, 70429, 51273, 50821, 51350, 50833, 51355, 53835, 56914, 55438, 50448, 51019, 50890, 51493, 50930, 51195, 65803, 55136, 55607, 52568, 75825, 51098, 51014, 80072, 51355, 54923, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 50962, 51250, 50820, 51780, 56375, 52193, 58883, 51273, 50858, 51350, 69691, 54447, 55438, 50460, 51019, 50880, 51493, 50962, 51195, 50829, 51250, 55018, 52084, 50817, 52563, 51354, 51098, 54482, 51331, 55438, 56130, 52302, 51350, 50904, 51355, 54447, 55438, 50424, 72998, 51493, 50802, 51195, 50825, 51250, 51949, 52630, 51350, 50867, 51355, 54923, 75519, 51331, 55438, 50430, 51780, 54870, 52265, 65609, 51216, 51012, 51350, 69691, 54447, 55438, 50436, 51195, 73885, 54518, 55466, 52676, 51350, 69691, 53835, 51156, 55438, 50442, 51019, 50930, 51493, 50811, 51780, 55651, 52084, 52267, 68755, 51273, 51033, 51350, 50867, 51355, 55316, 55438, 50448, 51019, 50890, 51493, 50962, 51195, 50835, 51250, 52132, 52568, 64483, 51098, 50911, 51350, 50835, 51355, 52784, 75519, 51156, 55438, 50454, 51195, 50835, 51250, 53739, 52193, 66827, 51493, 50860, 51545, 50835, 51350, 57444, 54132, 60488, 51195, 54870, 50817, 50799, 51250, 53983, 51331, 55534, 74511, 51098, 61493, 71523, 64124, 50817, 51570, 52267, 51099, 57099, 51099, 71772, 51099, 52349, 51099, 50821, 66301, 51167, 50953, 51354, 51098, 50975, 51195, 51337, 51250, 51194, 57946, 55438, 56130, 57474, 55438, 50424, 51232, 51173, 72998, 51493, 50802, 51545, 50901, 51350, 51177, 50832, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 51119, 51427, 65609, 51216, 51012, 51350, 51242, 51355, 74742, 55438, 55935, 55466, 50817, 69832, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 51099, 50921, 68755, 51273, 55043, 55438, 50448, 51019, 50890, 51493, 55607, 52568, 51099, 50821, 64483, 51098, 55195, 75519, 51156, 55438, 50454, 51099, 52240, 52193, 51099, 50821, 66827, 51493, 52715, 55498, 50460, 51068, 63182, 50971, 66301, 51160, 50953, 51388, 51098, 50976, 51195, 51212, 51250, 55998, 51331, 55438, 56130, 57474, 51625, 75564, 51232, 50806, 72998, 51493, 50802, 51545, 51101, 51350, 51177, 50832, 50817, 52389, 75519, 51331, 51625, 50811, 56096, 52265, 51119, 51043, 51011, 51388, 51216, 50976, 51350, 50987, 51355, 55325, 55438, 55935, 55466, 50817, 69832, 51625, 60681, 51099, 50895, 51019, 50930, 51493, 56606, 52084, 52267, 78891, 70429, 51273, 52589, 56914, 55438, 50448, 51019, 50890, 51493, 54451, 55607, 52568, 51099, 50858, 75825, 51098, 57642, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 55607, 52193, 51099, 50940, 58883, 51273, 52153, 55438, 50460, 51019, 50880, 51493, 56106, 52084, 50817, 50799, 51429, 51014, 50953, 51354, 51098, 50975, 51195, 50974, 51250, 57685, 51331, 55438, 56130, 52302, 51153, 52153, 55438, 50424, 51429, 50962, 72998, 51493, 54132, 50817 ]
[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 149, 63, 15352, 30054, 15229, 4, 1698, 30514, 30, 5, 6878, 3222, 5785, 9, 228, 438, 4781, 2088, 6757, 6, 36075, 8669, 6, 2382, 3459, 8669, 6, 81, 9756, 8669, 6, 8, 21072, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 272, 10431, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 230, 10431, 6, 12608, 119, 6, 163, 119, 1176, 406, 6, 8, 2060, 119, 6, 8216, 7, 63, 17627, 17274, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 66243, 53615, 50811, 50799, 53615, 52267, 53615, 50817, 50799, 51889, 68640, 55138, 51889, 52981, 53867, 64647, 50380, 53047, 53910, 51889, 52905, 51889, 68640, 53943, 51889, 52844, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 51889, 68640, 54704, 51889, 52878, 53867, 64647, 50380, 53047, 54417, 51889, 53886, 51889, 50385, 53047, 55726, 51889, 52738, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 50799, 51889, 68640, 55138, 51889, 52981, 53867, 64647, 50380, 53047, 53910, 51889, 52905, 51889, 68640, 53943, 51889, 52844, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 51889, 68640, 54704, 51889, 52878, 53867, 64647, 50380, 53047, 54417, 51889, 53035, 51889, 68640, 53922, 51889, 52738, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 72574, 50897, 52971, 50836, 52023, 53351, 51156, 73342, 60356, 50385, 53047, 57780, 51889, 64682, 52669, 50977, 51641, 72207, 52971, 50841, 52023, 50379, 52438, 64647, 51904, 50606, 55155, 51889, 61057, 51641, 54919, 52669, 50987, 52971, 50841, 52023, 51406, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 52669, 50987, 52971, 50841, 52023, 50841, 51641, 50865, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 52343, 50866, 52160, 50855, 51583, 50855, 52061, 50911, 52963, 56420, 60356, 51904, 50606, 59779, 51889, 52878, 52343, 50925, 52160, 50836, 51583, 50380, 54118, 64647, 51904, 50606, 55932, 51889, 53035, 52343, 50977, 52160, 50841, 51583, 66162, 50385, 53047, 50813, 51441, 52073, 54139, 51889, 52738, 52343, 50845, 52160, 50828, 51583, 50828, 52298, 50948, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 76310, 50925, 52023, 50841, 51856, 50841, 52061, 50948, 52963, 73342, 60356, 50385, 53047, 57780, 51889, 52981, 52023, 50846, 51856, 50846, 51641, 52195, 53867, 64647, 51904, 50606, 57987, 52426, 65605, 51889, 53425, 52426, 50937, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 52426, 50987, 52023, 50846, 51856, 73158, 64647, 51904, 50606, 55310, 51889, 53574, 52426, 50978, 52023, 50828, 51856, 53756, 51052, 58386, 50881, 50606, 52180, 50606, 56532, 51889, 52878, 52023, 50818, 51856, 74811, 64647, 51904, 50606, 62426, 52426, 71149, 51889, 53035, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 65170, 52426, 50987, 50453, 51889, 52738, 52023, 50818, 51856, 52493, 50385, 53830, 64647, 50380, 53047, 61242, 53724, 74238, 51889, 50836, 50799, 52971, 50836, 52023, 53351, 51052, 63511, 50881, 50606, 52180, 50606, 58315, 52669, 64625, 51889, 52981, 52971, 50841, 52023, 50841, 51641, 50936, 53867, 64647, 51904, 50606, 64355, 52669, 75827, 51889, 52905, 52971, 50841, 52023, 50841, 51641, 50917, 51441, 52073, 64647, 50385, 53047, 63567, 52669, 50955, 50429, 51889, 59185, 51641, 57356, 52971, 50841, 52023, 50379, 53290, 64647, 50380, 53047, 62425, 52669, 57815, 51889, 53219, 52343, 50917, 52160, 50855, 51583, 50855, 52061, 50940, 52963, 56420, 60356, 50385, 53047, 56714, 51889, 54465, 52160, 50836, 51583, 50380, 54118, 64647, 51904, 50606, 62426, 52343, 67168, 51889, 53035, 52160, 50841, 51583, 51406, 50379, 52073, 64647, 50385, 53047, 65170, 52343, 50854, 52061, 70494, 51889, 52738, 52343, 50795, 52160, 50828, 51583, 78311, 64647, 50380, 53047, 61242, 52298, 57264, 51889, 50828, 50799, 52023, 50841, 51856, 53852, 51156, 73342, 60356, 50385, 53047, 70623, 53724, 50830, 52061, 78006, 51889, 52981, 53724, 50952, 52023, 50846, 51856, 71239, 64647, 50380, 53047, 62846, 52298, 75177, 51889, 53425, 53724, 50866, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 53724, 50942, 52023, 50846, 51856, 73158, 64647, 50380, 53047, 54350, 51889, 53574, 53724, 50937, 52023, 50828, 51856, 61490, 52180, 50606, 53197, 51052, 58386, 55092, 51889, 52878, 53724, 50977, 52023, 50818, 51856, 74811, 64647, 50380, 53047, 54417, 51889, 53035, 53724, 50942, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 51904, 50606, 58215, 51889, 52738, 53724, 50937, 52023, 50818, 51856, 52493, 50385, 53830, 64647, 50380, 53047, 54655, 51889, 50828, 72574, 50897, 52971, 50836, 52023, 52217, 53104, 50606, 52180, 50606, 53197, 57193, 55804, 51889, 61923, 52669, 68531, 52971, 50841, 52023, 50841, 51641, 51030, 53867, 64647, 51904, 50606, 55155, 51889, 52905, 52669, 50987, 52971, 50841, 52023, 50841, 51641, 50938, 51441, 53047, 50385, 53047, 71124, 54056, 51889, 52844, 52669, 50987, 52971, 50841, 52023, 50841, 51641, 50917, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 52343, 50866, 52160, 50855, 51583, 50855, 52061, 50936, 52963, 56420, 60356, 50385, 53047, 56714, 51889, 54465, 52343, 50925, 52160, 50836, 51583, 50380, 54118, 64647, 51904, 50606, 55932, 51889, 53035, 52343, 50977, 52160, 50841, 51583, 51406, 50379, 53047, 50385, 53047, 71124, 54139, 51889, 53875, 52343, 50845, 52160, 50828, 51583, 50828, 52298, 50795, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 76310, 50925, 52023, 50841, 51856, 53852, 51156, 73342, 60356, 50385, 53047, 70623, 52061, 50924, 50417, 51889, 52981, 52023, 50846, 51856, 71239, 64647, 51904, 50606, 64355, 52426, 50942, 51641, 51356, 50423, 51889, 52905, 52426, 50937, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 52426, 50987, 52023, 50846, 51856, 73158, 64647, 50380, 53047, 54350, 51889, 53219, 52426, 50978, 52023, 50828, 51856, 53756, 51156, 56420, 60356, 50385, 53047, 56714, 51889, 54465, 52023, 50818, 51856, 74811, 64647, 50380, 53047, 62120, 52426, 71149, 51889, 53035, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 65170, 52426, 50987, 50453, 51889, 52738, 52023, 50818, 51856, 71728, 64647, 55476, 50385, 53047, 62223, 53724, 74238, 51889, 50828, 50799, 52971, 50836, 52023, 52217, 50383, 53047, 50385, 53047, 52784, 57193, 58320, 52669, 64625, 51889, 52981, 52971, 50841, 52023, 50841, 51641, 50948, 53867, 64647, 50380, 53047, 62846, 52669, 75827, 51889, 53425, 52971, 50841, 52023, 50841, 51641, 50938, 51441, 52073, 64647, 50385, 53047, 63567, 52669, 50955, 50429, 51889, 53695, 52971, 50841, 52023, 50841, 51641, 50910, 52834, 64647, 51904, 50606, 62089, 52669, 57815, 51889, 53219, 52343, 50917, 52160, 50855, 51583, 50855, 51641, 50952, 52963, 56420, 60356, 50385, 53047, 56714, 51889, 52878, 52160, 50836, 51583, 50380, 54118, 64647, 50380, 53047, 62120, 52343, 50942, 51641, 54368, 51889, 53035, 52160, 50841, 51583, 50841, 51641, 51030, 51441, 53047, 51904, 50606, 61945, 60949, 52343, 57622, 51889, 52738, 52343, 50795, 52160, 50828, 51583, 50828, 51641, 50897, 52834, 64647, 50380, 53047, 54655, 51889, 50836, 50799, 52023, 50841, 51856, 50841, 51641, 57603, 58320, 53724, 55587, 51641, 50821, 52389, 52676, 50804, 50817, 53012, 50962, 54141, 74176, 51341, 51012, 52612, 56604, 51083, 63066, 50811, 53061, 56354, 51495, 51685, 50804, 50949, 52198, 50949, 72574, 50940, 52971, 50836, 52023, 53351, 51156, 69628, 64329, 51010, 50419, 52669, 59771, 52971, 50841, 52023, 59891, 51641, 55889, 52669, 50938, 52971, 50841, 52023, 50841, 51641, 50938, 52777, 54562, 52669, 50878, 52971, 50841, 52023, 50841, 51641, 53071, 57776, 51341, 74123, 52343, 50937, 52160, 50855, 51583, 50855, 52061, 51033, 52963, 61945, 52940, 52343, 50878, 52160, 50836, 51583, 52217, 54915, 52343, 50897, 52160 ]
[ 0, 250, 765, 5175, 2214, 4246, 10, 38668, 483, 6, 32017, 6, 326, 15673, 10342, 6, 3023, 4360, 25999, 6, 8, 17605, 9590, 6, 2351, 10, 11739, 9, 2635, 8, 15352, 30054, 4785, 19, 41, 20425, 26438, 1264, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 55587, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 53244, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 54372, 55693, 50830, 60588, 50830, 60302, 50865, 76951, 53402, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 54630, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 53484, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 54896, 55693, 50830, 60588, 50830, 60302, 50865, 76951, 50830, 50799, 50725, 50336, 50918, 50725, 50348, 50918, 52987, 50918, 53112, 50918, 52452, 50918, 50664, 50339, 50809, 50763, 50348, 76971, 69981, 54745, 50664, 50339, 59182, 69981, 52628, 50664, 50339, 58741, 69981, 53467, 50664, 50339, 58067, 69981, 52329, 50664, 50339, 63601, 69981, 54056, 50664, 50339, 58607, 69981, 52359, 50664, 50339, 57307, 69981, 53307, 50664, 50339, 58291, 69981, 52444, 50725, 50347, 50865, 54862, 50865, 52412, 50865, 53134, 50865, 50763, 50347, 55700, 50688, 50306, 55178, 60302, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 54025, 50865, 50763, 50344, 56202, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54725, 60588, 50865, 76951, 54930, 50725, 50344, 50865, 54025, 50865, 50763, 50344, 55700, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 55178, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 54025, 50865, 50763, 50344, 56202, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54725, 50725, 50344, 50800, 50763, 50344, 52262, 50725, 50345, 50800, 69423, 51724, 50725, 50344, 50807, 57073, 50865, 50763, 50344, 53218, 52987, 50865, 53134, 55178, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50342, 50865, 57073, 50865, 50763, 50342, 56202, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54919, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54725, 60588, 50865, 76951, 54930, 50725, 50342, 50865, 57073, 50865, 50763, 50342, 55700, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 55178, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50342, 50865, 57073, 50865, 50763, 50342, 56202, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54919, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54725, 50725, 50342, 50800, 50763, 50342, 52262, 50725, 50344, 50800, 50763, 50344, 51724, 50725, 50342, 50807, 54025, 50865, 50763, 50342, 53218, 53638, 50865, 52117, 55178, 79355, 50865, 53638, 50865, 52117, 50865, 50763, 50340, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 54025, 50865, 53512, 51047, 50763, 50344, 56202, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54725, 60588, 50865, 76951, 54930, 50725, 50344, 50865, 54495, 50865, 54205, 51047, 50763, 50344, 55700, 50725, 50344, 50865, 52479, 50865, 52751, 50865, 50763, 50344, 55178, 50725, 50344, 50865, 52479, 50865, 52751, 50865, 50763, 50344, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 53209, 50865, 53079, 51047, 50763, 50344, 56202, 50725, 50344, 50865, 52408, 50865, 52696, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 52408, 50865, 52696, 50865, 50763, 50344, 54725, 50725, 50342, 50800, 50763, 50342, 52262, 50725, 50344, 50800, 50763, 50344, 51724, 50725, 50345, 50807, 55537, 50865, 54097, 51047, 69423, 53218, 53112, 50865, 54133, 55178, 50725, 50349, 50807, 53112, 50865, 54133, 50865, 50763, 50349, 50807, 50799, 50725, 50347, 50865, 53931, 50865, 52174, 51047, 50763, 50347, 56202, 50725, 50347, 50865, 53134, 50865, 52452, 50865, 50763, 50347, 54919, 50725, 50347, 50865, 53134, 50865, 52452, 50865, 50763, 50347, 54725, 60588, 50865, 76951, 54930, 50725, 50345, 50865, 56845, 50865, 52696, 51047, 69423, 55700, 50725, 50345, 50865, 52412, 50865, 53134, 50865, 69423, 55178, 50725, 50345, 50865, 52412, 50865, 53134, 50865, 69423, 55037, 50725, 50339, 50865, 50763, 50339, 50865, 50799, 79355, 50918, 54495, 50865, 52648, 50865, 52751, 51047, 50763, 50340, 55834, 54025, 50865, 54495, 54930, 54495, 50865, 52648, 55178, 60060, 50991, 52174, 50991, 50763, 50332, 75997, 56326, 50800, 52696, 50800, 50763, 50330, 50800, 50799, 60060, 50918, 54025, 50918, 52648, 50795, 52751, 50807, 50763, 50332, 54994, 53638, 51631, 52412, 50795, 52174, 53182, 53638, 51646, 60588, 50918, 54495, 50918, 52648, 50795, 53512, 50983, 76951, 56027, 53638, 51798, 52412, 51923, 53638, 50795, 55013, 50795, 50799, 61557, 50918, 53209, 50918, 52276, 50795, 54097, 50807, 50763, 50333, 54994, 52408, 51631, 52117, 50795, 53079, 53182, 52408, 51646, 66105, 50918, 55537, 50918, 53714, 50795, 55939, 50983, 50763, 50337, 56027, 52408, 51798, 52117, 51923, 52408, 50795, 53512, 50795, 50799, 50725, 50339, 50807, 53931, 50918, 52412, 50795, 62363, 50809, 50763, 50339, 70374, 65444, 54745, 62363, 59182, 65444, 52628, 53134, 50795, 62363, 58741, 65444, 53467, 62363, 58067, 65444, 52329, 79355, 50807, 52452, 50795, 64722, 50809, 50763, 50340, 50807, 50428, 58390, 54056, 64722, 58607, 58390, 52359, 53134, 50795, 64722, 57307, 58390, 53307, 64722, 58291, 58390, 52444, 50725, 50342, 50807, 54256, 50918, 52412, 50795, 62776, 50809, 50763, 50342, 68647, 62363, 54790, 62776, 59586, 62363, 52510, 53134, 50795, 62776, 57993, 62363, 53401, 62776, 59248, 62363, 52555, 50725, 50345, 50807, 52452, 50795, 63582, 50809, 69423, 50807, 50452, 62776, 54139, 63582, 59310, 62776, 52485, 53134, 50795, 63582, 58839, 62776, 53793, 63582, 57747, 62776, 50809, 50799, 50725, 50344, 50918, 54495, 50918, 52648, 50795, 65511, 50809, 50763, 50344, 76971, 64722, 54745, 65511, 59182, 64722, 52628, 53638, 50795, 65511, 58741, 64722, 53467, 65511, 58067, 64722, 52329, 52412, 50795, 65511, 63601, 64722, 54056, 65511, 58607, 64722, 52359, 53638, 50795, 65511, 57307, 64722, 53307, 65511, 58291, 64722, 52444, 54025, 50918, 52648, 51918, 53638, 51798, 60060, 50991, 52412, 50795, 52174, 50991, 50763, 50332, 59592, 53638, 54093, 56326, 50800, 52696, 50800, 50763, 50330, 50800, 50799, 60060, 50918, 54025, 50918, 52648, 50795, 52751, 50807, 50763, 50332, 54994, 53638, 51631, 52412, 50795, 52174, 53182, 53638, 51646, 60588, 50918, 54495, 50918, 52648, 50795, 53512, 50983, 76951, 56027, 53638, 51798, 52412, 51923, 53638, 50795, 55013, 50795, 50799, 61557, 50918, 53209, 50918, 52276, 50795, 54097, 50807, 50763, 50333, 54994, 52408, 51631, 52117, 50795, 53079, 53182, 52408, 51646, 66105, 50918, 55537, 50918, 53714, 50795, 55939, 50983, 50763, 50337, 56027, 52408, 51798, 52117, 51923, 52408, 50795, 53512, 50795, 50799, 50725, 50339, 50807, 53931, 50918, 52412, 50795, 50664, 50339, 50809, 50763, 50339, 70374, 65511, 54745, 50664, 50339, 59182, 65511, 52628, 53134, 50795, 50664, 50339, 58741, 65511, 53467, 50664, 50339, 58067, 65511, 52329, 50725, 50338, 50795, 52452, 50795, 50664, 50339, 50809, 50763, 50338, 64977, 65511, 54056, 50664 ]
[ 0, 4688, 5175, 15352, 30054, 2214, 19, 10, 19834, 16464, 6, 4246, 3459, 13305, 8, 13305, 816, 5, 483, 6, 7513, 30, 3459, 9590, 6, 6755, 12547, 6, 8, 21072, 4, 85, 18, 278, 11, 5, 762, 9, 274, 538, 19, 10, 16331, 33215, 16739, 9, 274, 6, 272, 119, 406, 6, 274, 73, 250, 6, 8, 230, 4, 20, 1349, 11498, 10, 1769, 20889, 9, 9680, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 29354, 20425, 8, 2933, 4785, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50913, 52115, 52365, 51631, 52365, 51736, 50913, 51646, 52365, 51918, 52365, 51798, 51236, 51923, 51236, 50795, 50799, 51394, 51036, 52365, 52910, 52365, 52424, 52365, 52728, 52365, 50807, 50799, 51629, 50795, 52365, 53561, 51182, 51631, 65085, 52365, 52424, 67733, 52365, 53218, 51201, 51798, 67837, 52365, 50807, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 51011, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 52930, 50795, 74531, 51011, 51631, 53826, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 53826, 66820, 51798, 53826, 66820, 51923, 53826, 50795, 58819, 50799, 53826, 50795, 51890, 50918, 52158, 50918, 52092, 50918, 52569, 50918, 65431, 51186, 52115, 54057, 50795, 51394, 66820, 51631, 54057, 50795, 65431, 51186, 51736, 54057, 66820, 51646, 54057, 50795, 52647, 50918, 51771, 50918, 52158, 50918, 53234, 50918, 51395, 66820, 51918, 54057, 50795, 51394, 66820, 51798, 52627, 50795, 51395, 66820, 51923, 54057, 50795, 58819, 50799, 54462, 50795, 51629, 50795, 50684, 50312, 52115, 52627, 50795, 70446, 58374, 51631, 52569, 50807, 65085, 59775, 52424, 53234, 50795, 67733, 62027, 51918, 52569, 50795, 65979, 59775, 51798, 52627, 50807, 67837, 58374, 50807, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 52930, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 53826, 66820, 51798, 53826, 66820, 51923, 53826, 50795, 58819, 50799, 53826, 50795, 51890, 50918, 52158, 50918, 52092, 50918, 52569, 50918, 65431, 51186, 52115, 54057, 50795, 51394, 66820, 51631, 54057, 50795, 65431, 51186, 51736, 54057, 66820, 51646, 54057, 50795, 52647, 50918, 51771, 50918, 52158, 50918, 53234, 50918, 51395, 66820, 51918, 54057, 50795, 51394, 66820, 51798, 52627, 50795, 51395, 66820, 51923, 54057, 50795, 58819, 50799, 54462, 50795, 51629, 50795, 50684, 50312, 52115, 52627, 50795, 70446, 58374, 51631, 52569, 50807, 65085, 59775, 52424, 53234, 50795, 67733, 62027, 51918, 52569, 50795, 65979, 59775, 51798, 52627, 50807, 67837, 58374, 50807, 50799, 51890, 51036, 51816, 51036, 51959, 51036 ]
[ 0, 250, 15855, 2125, 4246, 3551, 139, 6, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 326, 5638, 18026, 6, 8, 32909, 6, 7630, 14805, 10, 1472, 9, 9733, 8, 15073, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 42, 765, 2214, 22848, 10, 33215, 16739, 9, 272, 119, 6, 12608, 119, 6, 8, 272, 6, 2351, 10, 25306, 5466, 1969, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 68051, 50818, 60351, 50961, 53398, 50883, 53011, 55060, 52670, 51299, 50846, 60351, 50883, 53398, 50895, 53011, 53479, 53031, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53338, 58039, 51299, 50846, 60351, 50884, 53398, 50884, 53011, 54866, 60591, 51299, 50818, 60351, 50883, 53398, 50895, 53011, 54866, 52742, 51299, 50846, 60351, 50887, 53398, 50887, 53011, 53850, 53162, 51299, 50818, 60351, 50895, 53398, 50884, 53011, 54866, 57785, 51299, 50846, 60351, 50895, 53398, 50884, 53011, 54866, 62749, 51299, 50818, 53011, 50884, 60351, 50961, 53398, 53850, 52763, 54138, 50846, 51426, 50846, 51375, 50818, 50693, 50276, 50961, 58274, 50895, 55323, 50895, 51085, 58888, 60290, 57282, 66730, 54138, 50820, 51375, 50895, 51426, 50846, 50693, 50276, 50961, 58274, 50961, 55323, 50884, 52206, 54212, 57098, 54138, 50841, 51375, 50818, 51426, 50846, 50693, 50276, 50883, 58274, 50895, 55323, 50883, 51085, 54131, 58677, 52206, 53173, 54138, 50895, 51375, 50895, 51426, 50846, 50693, 50276, 50883, 58274, 50895, 55323, 55019, 50365, 51367, 62348, 50835, 68051, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52712, 51299, 50846, 60351, 50883, 53398, 50895, 53011, 53850, 52953, 51299, 50846, 60351, 50961, 53398, 50883, 53011, 53479, 59347, 51299, 50818, 60351, 50884, 53398, 50884, 53011, 54866, 60591, 51299, 50818, 60351, 50961, 53398, 50961, 53011, 53479, 52621, 51299, 50846, 60351, 50961, 53398, 50895, 53011, 53338, 52875, 51299, 50846, 53011, 50961, 60351, 50883, 53398, 53338, 57785, 51299, 50895, 53011, 53338, 54284, 60351, 50884, 53398, 64915, 51299, 50884, 53011, 50883, 60351, 50883, 53398, 53338, 52772, 54138, 50818, 51426, 50818, 51375, 50846, 55323, 50895, 50693, 50276, 50883, 58274, 50895, 51085, 52990, 50366, 51367, 56870, 64125, 54138, 50828, 51426, 50846, 51375, 50884, 55323, 50884, 50693, 50276, 50961, 58274, 50961, 52206, 53966, 59699, 54138, 50895, 51375, 50818, 51426, 50846, 55323, 50883, 50693, 50276, 50961, 58274, 50961, 51085, 54866, 53007, 54138, 50846, 51426, 50846, 51375, 50895, 55323, 50961, 50693, 50276, 50961, 58274, 50961, 52206, 75454, 62348, 53612, 51004, 68051, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52928, 51299, 50895, 53011, 50961, 60351, 50961, 53398, 53850, 52953, 53011, 50961, 60351, 50961, 53398, 53479, 57004, 51299, 56859, 53011, 50884, 60351, 50884, 53398, 54866, 54483, 51299, 58024, 53011, 50883, 60351, 50961, 53398, 53850, 57352, 51299, 52565, 51299, 50884, 53011, 50895, 60351, 50961, 53398, 53850, 52875, 51299, 50884, 53011, 50883, 60351, 50883, 53398, 53338, 59279, 51299, 50846, 53011, 50961, 60351, 50884, 53398, 54866, 62749, 51299, 50818, 53011, 50884, 60351, 50883, 53398, 53338, 52802, 54138, 50846, 51357, 50846, 51426, 50884, 51426, 50895, 55323, 50895, 50693, 50276, 50883, 58274, 50895, 51085, 60486, 60526, 56870, 64125, 54138, 50846, 51357, 50884, 51426, 50846, 51426, 50846, 55323, 50883, 50693, 50276, 50961, 58274, 50961, 52206, 54212, 57690, 54138, 50895, 51357, 50846, 51426, 50846, 51426, 50884, 55323, 50883, 50693, 50276, 50961, 58274, 50961, 51085, 52572, 53137, 54138, 50884, 51426, 50846, 51357, 50895, 51426, 50818, 55323, 50961, 50693, 50276, 50961, 58274, 50961, 52206, 53988, 60008, 59121, 51004, 68051, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52712, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 54866, 53063, 60351, 50961, 53398, 50961, 53011, 53850, 57004, 51299, 59871, 60351, 50895, 53398, 50884, 53011, 54866, 54034, 51299, 61385, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53479, 52621, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53850, 52986, 60351, 50961, 53398, 50961, 53011, 53850, 60822, 51299, 60635, 51299, 50818, 60351, 50884, 53398, 50884, 53011, 54866, 62749, 51299, 50884, 60351, 50883, 53398, 50895, 53011, 54866, 58145, 50856, 58271, 54138, 50895, 51426, 50846, 51375, 50895, 51357, 50846, 55323, 50884, 50693, 50276, 50895, 58274, 50884, 51085, 58888, 56870, 64314, 54138, 50846, 51375, 50846, 51357, 50884, 51426, 50846, 50693, 50276, 50895, 58274, 50884, 55323, 50883, 52206, 53966, 57690, 51357, 50884, 51426, 50846, 51375, 50818, 50693, 50276, 50961, 58274, 50961, 55323, 50884, 51085, 54499, 59644, 54138, 53685, 54138, 50846, 51357, 50884, 51375, 50818, 51426, 50846, 50693, 50276, 50961, 58274, 50961, 55323, 50961, 52206, 58888, 59121, 62348, 50825, 63355, 51167, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53850, 57030, 51947, 75274, 51947, 51388, 51299, 50895, 53011, 50895, 60351, 50961, 53398, 53850, 56680, 51431, 65744, 53011, 50883, 60351, 50961, 53398, 53850, 57004, 51299, 59311, 51299, 50846, 53011, 50884, 60351, 50895, 53398, 54866, 62196, 51299, 50846, 53011, 50961, 60351, 50961, 53398, 53850, 52766, 51299, 50884, 53011, 50884, 60351, 50895, 53398, 54866, 56819, 51431, 51192, 51947, 51354, 50444, 51299, 50884, 53011, 50883, 60351, 50961, 53398, 53850, 56892, 51299, 50846, 53011, 50884, 60351, 50884, 53398, 54866, 60411, 51299, 50895, 53011, 50884, 60351, 50883, 53398, 53338, 52743, 52211, 50923, 53542, 50923, 54138, 50949, 51375, 50895, 51299, 50846, 55323, 50884, 50693, 50276, 50884, 58274, 54866, 64314, 54138, 50828, 51299, 50895, 51375, 50846, 50693, 50276, 50883, 58274, 50895, 55323, 53850, 57098, 54138, 50949, 51299, 50884, 51375, 50846, 55323, 50883, 50693, 50276, 50961, 58274, 53850, 53217, 54138, 50828, 51299, 50895, 51375, 50846, 55323, 50961, 50693, 50276, 50961, 58274, 53850, 54026, 51641, 50880, 51968, 50949, 63355, 50980, 51947, 51160, 51299, 50895, 53011, 50884, 60351, 50961, 53398, 53850, 52928, 52211, 51021, 53542, 50923, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52953, 53011, 50961, 60351, 50961, 53398, 53338, 58803, 51299, 60063, 51299, 50846, 53011, 50884, 60351, 50884, 53398, 54866, 54248, 51641, 50930, 51968, 60958, 51299, 50818, 53011, 50961, 60351, 50961, 53398, 53850, 52621, 51431, 51226, 51947, 51226, 51299, 50895, 53011, 50895, 60351, 50895, 53398, 54866, 53027, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 56892, 51299, 50846, 60351, 50884, 53398, 50884, 53011, 53479, 60411, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53850, 52772, 54138, 50949, 51299, 50818, 51426, 50895, 50693, 50276, 50961, 58274, 50883, 55323, 53338, 67099, 54138, 50846, 51426, 50846, 51299, 50846, 50693, 50276, 50961, 58274, 50961, 55323, 53850, 58345, 51299, 62962, 54138, 50949, 51426, 50818, 50693, 50276, 50961, 58274, 50961, 55323, 54866, 53137, 54138, 50841, 51426, 50846, 51299, 50895, 50693, 50276, 50961, 58274, 50961, 55323, 53850, 50829, 65578, 51167, 51866, 51354, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52928, 51579, 51379, 51866, 51354, 51299, 50895, 53011, 50961, 60351, 50961, 53398, 53850, 52953, 53011, 50961, 60351, 50961, 53398, 53479, 57004, 51299, 56859, 53011, 50884, 60351, 50884, 53398, 54866, 54483, 51299, 58024, 53011, 50883, 60351, 50961, 53398, 53850, 57352, 51299, 52565, 51579, 51167, 51866, 51167, 51299, 50884, 53011, 50895, 60351, 50961, 53398, 53850, 52875, 51299, 50884, 53011, 50883, 60351, 50883, 53398, 53338, 59279, 51299, 50846, 53011, 50961, 60351, 50884, 53398, 54866, 62749, 51299, 50818, 53011, 50884, 60351, 50883, 53398, 53338, 52802, 52264, 50936, 52377, 51021 ]
[ 0, 250, 8787, 3495, 1011, 625, 14, 115, 1807, 25, 10, 19834, 6, 42, 2125, 1931, 21683, 10, 19448, 8, 8728, 5466, 6, 19, 17878, 9, 1619, 16426, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 2635, 226, 22740, 20889, 6, 24, 1575, 10, 13305, 981, 5, 33301, 6, 2800, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 3459, 8669, 4, 20, 15229, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 10346, 30, 10, 33215, 16739, 9, 274, 6, 1918, 406, 6, 230, 119, 6, 211, 406, 6, 8, 272, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 50796, 55435, 50959, 76518, 50906, 50917, 56363, 50987, 53645, 61026, 53961, 50997, 51058, 57019, 75600, 63959, 50997, 51008, 56415, 50942, 50906, 54424, 50997, 50862, 71910, 51036, 51234, 51359, 78679, 50871, 59292, 50937, 56363, 51109, 53645, 51121, 50906, 52605, 50997, 51377, 57019, 51177, 50906, 55322, 50997, 51267, 56415, 64292, 58705, 50997, 50849, 54662, 51991, 50997, 61566, 51121, 50871, 51110, 55008, 54745, 54108, 54507, 50997, 51008, 54108, 55081, 54108, 50893, 53645, 61419, 53961, 50997, 51058, 57019, 61026, 55040, 50997, 53996, 50899, 67538, 77462, 69766, 52863, 50997, 50829, 54108, 53793, 54108, 50809, 54662, 51486, 50900, 60637, 51194, 50989, 51178, 54108, 50924, 53502, 50810, 54649, 55081, 55008, 51235, 56040, 75762, 68995, 50917, 56014, 50867, 58811, 55782, 54108, 51290, 62335, 50925, 50899, 51110, 50871, 64990, 50997, 54385, 50899, 62465, 63947, 54583, 61335, 58526, 51364, 50899, 57911, 51111, 74650, 54569, 50878, 53645, 65090, 73058, 69766, 54215, 50899, 50862, 54108, 53307, 54108, 52444, 51026, 75427, 51121, 50973, 51121, 54108, 50924, 55989, 50844, 54649, 55932, 55008, 51235, 56415, 51159, 50973, 51159, 71136, 50866, 58699, 53848, 55008, 51235, 53997, 72225, 50942, 50861, 56964, 55099, 50956, 53881, 50956, 69538, 54666, 52605, 51085, 72889, 56524, 51120, 52896, 51197, 51141, 50956, 50925, 50989, 59292, 51100, 61614, 50822, 54108, 57782, 58811, 67702, 77663, 50906, 58298, 50956, 50870, 58916, 53848, 58811, 51048, 54868, 51189, 50997, 65068, 51121, 50906, 55689, 50997, 51058, 53645, 59292, 56632, 50997, 53891, 50621, 51085, 67650, 52434, 50307, 51101, 50989, 65562, 50997, 54185, 50619, 51279, 69796, 58134, 60559, 50915, 61791, 51234, 51991, 50997, 61566, 51121, 50871, 51110, 55008, 54745, 54108, 54507, 50997, 51008, 54108, 55081, 54108, 50893, 53645, 61419, 53961, 50997, 76257, 51727, 50890, 52602, 50836, 51638, 50836, 78994, 51154, 53574, 50871, 61026, 50866, 51727, 56082, 51251, 51103, 51154, 51103, 52602, 52903, 51638, 52903, 66626, 53996, 50899, 67538, 77462, 69766, 52863, 50997, 50829, 54108, 53793, 54108, 50809, 54662, 51486, 50900, 60637, 51194, 50989, 51178, 54108, 50924, 51426, 51103, 51491, 51103, 53502, 50810, 54649, 55081, 55008, 51235, 56040, 75762, 68995, 50917, 56014, 50867, 58811, 55782, 54108, 51290, 62335, 50925, 50899, 51110, 50871, 51110, 51251, 51103, 51154, 64486, 50997, 54385, 50899, 62465, 63947, 54583, 61335, 58526, 51364, 50899, 57911, 51111, 74650, 51602, 51356, 53623, 51103, 51299, 51103, 51251, 51103, 51154, 51103, 54569, 50878, 53645, 65090, 73058, 69766, 54215, 50899, 50862, 54108, 53307, 54108, 52444, 51026, 75427, 51121, 50973, 51121, 51137, 51336, 54108, 50924, 52776, 51103, 52065, 51103, 51251, 51103, 51154, 51103, 55989, 50844, 54649, 55932, 55008, 51235, 56415, 51159, 50973, 51159, 71136, 50866, 58699, 53848, 55008, 51235, 53997, 72225, 50942, 50861, 56964, 50849, 51416, 51291, 52143, 51103, 51638, 51103, 51299, 51103, 51426, 51103, 58097, 53881, 50956, 69538, 54666, 52605, 51085, 72889, 56524, 51120, 50837, 51684, 53614, 51197, 51141, 50956, 50925, 50989, 59292, 51100, 52585, 51127, 52481, 51103, 51299, 51103, 51426, 51103, 51491, 51103, 61614, 50822, 54108, 57782, 58811, 67702, 77663, 50906, 58298, 50956, 50870, 58916, 53848, 58811, 51048, 54868, 51364, 50997, 60042, 57911, 50917, 52371, 51103, 51638, 51103, 51165, 51103, 51154, 51103, 60564, 68543, 50805, 51147, 51111, 63931, 53980, 51026, 51204, 50973, 75210, 51918, 50973, 54185, 50931, 52935, 50861, 51126, 53997, 51167, 50861, 64471, 51060, 74650, 50968, 51111, 55902, 53383, 51378, 50910, 67944, 50876, 51235, 51001, 78265, 50989, 60592, 51050, 73076, 61816, 51157, 51001, 51157, 57428, 51218, 51224, 50383, 52418, 53641, 51224, 64271, 53035, 50876, 71606, 66941, 51289, 66596, 53268, 50902, 50873, 51289, 65636, 50884, 71910, 51541, 51234, 51541, 50997, 53318, 50306, 51505, 50871, 51354, 51727, 51029, 52602, 51307, 51887, 51307, 51251, 51307, 61401, 53576, 50997, 50833, 52714, 50980, 51956, 56759, 70717, 51603, 50871, 51500, 50804, 51392, 53230, 53492, 50952, 51234, 50910, 50997, 50977, 51727, 50936, 51784, 51500, 51471, 56321, 53040, 53492, 51958, 50290, 52530, 50302, 73587, 51235, 50871, 51227, 51727, 51029, 51479, 53239, 50997, 50942, 51900, 51055, 55723, 50997, 79730, 68916, 51286, 52777, 53650, 50997, 50841, 51727, 50858, 52714, 51196, 53026, 54794, 51338, 50890, 58359, 51294, 51120, 51362, 50899, 61623, 51235, 50877, 51238, 51181, 51552, 52371, 51307, 51883, 51307, 51154, 51307, 53358, 53829, 74654, 51842, 53337, 51227, 50871, 71261, 50980, 52777, 53644, 51799, 50830, 51120, 50830, 51181, 51030, 75596, 54649, 53097, 52950, 51799, 51364, 51120, 51343, 50899, 64674, 71261, 51227, 51181, 51761, 54108, 53558, 50898, 53905, 54649, 54811, 60833, 52714, 51160, 55723, 50899, 50940, 50871, 57442, 52420, 50898, 53650, 50899, 50857, 51132, 53097, 51464, 54359, 51137, 50809, 50799, 56539, 51159, 51503, 70156, 51160, 50871, 51175, 50965, 51235, 51602, 51496, 52316, 51103, 51154, 51103, 51093, 51103, 51479, 52432, 52714, 51055, 51842, 53523, 76648, 60781, 50893, 52777, 53644, 51503, 50855, 51602, 50865, 51784, 51566, 51468, 56321, 52600, 55774, 51160, 51214, 51500, 51086, 60757, 51215, 50861, 51175, 51137, 51196, 51699, 51103, 51154, 51103, 51357, 51103, 51479, 53675, 51086, 50810, 51900, 51055, 67615, 51086, 71368, 56135, 50940, 52777, 54450, 51086, 50841, 54649, 51274, 55709, 50829, 53997, 51500, 51026, 65185, 51192, 50956, 51173, 51416, 51552, 52143, 51103, 51426, 51103, 51165, 51103, 51479, 54031, 51026, 50854, 51983, 53523, 75205, 53988, 50898, 54013, 54108, 57647, 51234, 50837, 51085, 50835, 51416, 50840, 75596, 51684, 50809, 55008, 52218, 53219, 51197, 52370, 50304, 50940, 50956, 52370, 50310, 50806, 52585, 50896, 55008, 51167, 52481, 50914, 51299, 50914, 51491, 50914, 64067, 52210, 50900, 54212, 50829, 52612, 52568, 51050, 51566, 51027, 61829, 75522, 51055, 52584, 50924, 51883, 50914, 51154, 50914, 51093, 58307, 55079, 51553, 53268, 50956, 50910, 71000, 51224, 56995, 50622, 62190, 50841, 71910, 51541, 51234, 51541, 50997, 53318, 50306, 51505, 50871, 51354, 51727, 51029, 57117, 51896, 52602, 51307, 51887, 51307, 51251, 51307, 61401, 55927, 53369, 51685, 56363, 50833, 51774, 51031, 52714, 50980, 72274, 51614, 55800, 50997, 70717, 51603, 50871, 51500, 51515, 51463, 51392, 52240, 54562, 53492, 50952, 51234, 50910, 50997, 50977, 51727, 50936, 51784, 51500, 51471, 56321, 53040, 53492, 51958, 50290, 52530, 50302, 73587, 51235, 50871, 51227, 51727, 51029, 51479, 53239, 50997, 50942, 51900, 51055, 55723, 50997, 79730, 68916, 51286, 61680, 54450, 50997, 50841, 51727, 50858, 52714, 51196, 53026, 54794, 51338, 50890, 58359, 51294, 51120, 51362, 50899, 61623, 51235, 50877, 51238, 51181, 51552, 53722, 51469, 52371, 51307, 51883, 51307, 51154, 51307, 53358, 58486, 52806, 51795, 54569, 50833, 51774, 54055, 64546, 51607, 52266, 53337, 51227, 50871, 71261, 50980, 51440, 51941, 61680, 54562, 51799, 50830, 51120, 50830, 51181, 51030, 75596, 54649, 53097, 52950, 51799, 51364, 51120, 51343, 50899, 64674, 71261, 51227, 51181, 51761, 54108, 53558, 50898, 53905, 54649, 54811, 60833, 52714, 51160, 55723, 50899, 50940, 50871, 57442, 52420, 50898 ]
[ 0, 250, 20902, 3495, 2214, 11, 12608, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 8, 10, 1675, 13305, 816, 561, 11, 20299, 4, 590, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 41, 20425, 8, 15352, 30054, 2125, 14, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 20, 1049, 33215, 16739, 10726, 9, 12608, 119, 1176, 406, 6, 12608, 406, 6, 2060, 6, 1614, 757, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 54733, 64965, 52269, 54278, 53282, 50810, 51561, 51025, 51512, 51025, 50430, 55439, 57181, 55951, 52729, 56590, 50866, 53366, 60182, 53559, 51025, 55402, 57554, 51232, 51025, 51308, 58761, 52269, 51109, 55439, 51109, 62871, 64965, 52269, 51025, 52889, 58193, 51144, 51025, 51512, 59102, 52449, 51109, 56590, 61148, 58001, 60182, 52449, 51025, 55951, 57554, 51232, 58761, 52269, 51109, 55439, 51109, 50799, 57279, 64965, 52269, 51025, 53282, 58193, 51561, 51025, 51512, 59102, 53388, 51109, 52449, 61148, 57279, 60182, 52681, 51134, 53395, 69204, 51561, 51025, 50799, 52269, 51115, 54733, 66527, 53564, 51025, 53009, 59290, 53388, 51115, 57279, 57554, 52706, 51025, 52239, 51025, 50799, 52681, 51115, 57279, 58193, 54802, 51025, 53381, 59290, 53388, 51115, 57279, 57554, 52706, 50866, 52239, 50866, 50799, 52269, 50866, 54733, 64965, 53282, 58193, 53009, 51025, 52269, 59102, 52269, 54014, 52889, 51025, 57279, 57554, 52239, 50866, 53388, 50866, 53395, 50866, 53282, 54752, 52269, 51134, 75698, 58193, 53381, 50866, 52681, 53961, 52495, 51109, 53009, 61148, 57279, 60182, 53564, 51134, 53381, 69204, 54733, 61481, 53038, 57450, 51964, 50810, 78323, 64965, 52889, 54278, 53395, 50866, 55439, 53961, 52889, 54014, 53388, 51025, 55439, 51025, 52176, 57554, 53009, 50866, 53388, 50866, 52889, 54752, 53009, 51134, 52269, 51134, 53282, 51134, 79921, 58193, 53009, 51025, 52269, 51025, 52477, 59290, 52239, 50866, 53388, 50866, 51876, 55040, 53009, 51134, 52269, 51134, 52746, 54356, 51964, 54752, 54733, 50866, 50799, 53009, 51134, 53646, 64965, 52889, 54278, 53395, 53961, 53009, 51109, 53282, 61148, 51964, 60182, 53564, 51134, 53009, 51134, 58637, 64965, 52681, 50866, 53559, 50866, 53139, 54278, 52681, 50866, 53559, 50866, 53139, 53961, 52269, 51109, 52889, 51109, 55439, 61148, 51876, 60182, 52889, 54356, 53282, 54752, 53395, 51109, 52889, 51109, 55439, 51109, 78323, 64965, 52889, 54278, 53282, 53961, 53009, 51109, 52269, 51109, 52889, 61148, 51964, 60182, 52269, 54356, 53009, 54752, 53022, 51109, 52681, 51109, 52269, 51109, 58637, 64965, 53022, 51025, 52681, 51025, 52269, 59102, 52495, 51109, 53009, 51109, 52269, 61148, 51876, 60182, 53009, 50866, 52269, 50866, 52889, 54356, 53009, 51025, 52269, 51025, 53282, 51025, 50799, 52495, 50866, 53009, 50866, 53395, 50866, 53646, 64965, 52889, 54278, 52495, 51025, 52681, 51025, 53139, 51025, 52176, 59290, 53009, 50866, 52269, 50866, 55439, 50866, 52746, 60182, 53282, 54356, 52239, 50866, 52269, 50866, 52533, 54752, 52495, 50866, 53009, 50866, 51876, 50866, 50799, 52495, 50866, 53388, 50866, 53646, 55085, 53022, 51025, 52269, 51025, 51964, 59102, 52822, 51109, 52495, 51109, 53009, 51109, 52785, 73779, 52889, 57554, 51876, 58761, 52449, 51115, 55439, 51115, 64955, 58193, 52889, 53961, 53282, 54014, 54802, 50866, 52239, 50866, 52269, 50866, 52746, 60182, 54802, 51025, 53009, 58761, 53564, 51109, 53009, 51109, 52269, 51109, 74421, 64965, 53009, 54278, 53282, 53961, 52248, 51134, 53282, 51134, 52889, 67082, 51876, 57554, 55439, 54752, 52449, 51134, 55439, 51134, 64955, 58193, 52889, 53961, 53282, 54014, 53395, 51025, 55439, 51025, 52746, 57554, 52889, 54752, 52269, 50866, 52889, 50866, 75698, 64965, 52269, 54278, 53282, 50810, 51561, 51025, 51512, 51025, 50430, 55439, 57181, 55951, 52729, 56590, 50866, 53366, 60182, 53559, 51025, 55402, 57554, 51232, 51025, 51308, 58761, 52269, 51109, 55439, 51109, 62871, 64965, 52269, 51025, 52889, 58193, 51144, 51025, 51512, 59102, 52449, 51109, 56590, 61148, 58001, 60182, 52449, 51025, 55951, 57554, 51232, 58761, 52269, 51109, 55439, 51109, 50799, 57279, 64965, 52269, 51025, 53282, 58193, 51561, 51025, 51512, 59102, 53388, 51109, 52449, 61148, 57279, 60182, 52681, 51134, 53395, 69204, 51561, 51025, 50799, 52269, 50866, 54733, 64965, 53282, 58193, 53009, 51025, 52269, 59102, 52269, 54014, 52889, 51025, 57279, 57554, 52239, 50866, 53388, 50866, 53395, 50866, 53282, 54752, 52269, 51134, 75698, 58193, 53381, 50866, 52681, 53961, 52495, 51109, 53009, 61148, 57279, 60182, 53564, 51134, 53381, 69204, 54733, 61481, 53038, 57450, 51964, 50810, 78323, 64965, 52889, 54278, 53395, 50866, 55439, 53961, 52889, 54014, 53388, 51025, 55439, 51025, 52176, 57554, 53009, 50866, 53388, 50866, 52889, 54752, 53009, 51134, 52269, 51134, 53282, 51134, 79921, 58193, 53009, 51025, 52269, 51025, 52477, 59290, 52239, 50866, 53388, 50866, 51876, 55040, 53009, 51134, 52269, 51134, 52746, 54356, 51964, 54752, 54733, 50866, 50799, 53009, 51134, 53646, 64965, 52889, 54278, 53395, 53961, 53009, 51109, 53282, 61148, 51964, 60182, 53564, 51134, 53009, 51134, 58637, 64965, 52681, 50866, 53559, 50866, 53139, 54278, 52681, 50866, 53559, 50866, 53139, 53961, 52269, 51109, 52889, 51109, 55439, 61148, 51876, 60182, 52889, 54356, 53282, 54752, 53395, 51109, 52889, 51109, 55439, 51109, 78323, 64965, 52889, 54278, 53282, 53961, 53009, 51109, 52269, 51109, 52889, 61148, 51964, 60182, 52269, 54356, 53009, 54752, 53022, 51109, 52681, 51109, 52269, 51109, 58637, 64965, 53022, 51025, 52681, 51025, 52269, 59102, 52495, 51109, 53009, 51109, 52269, 61148, 51876, 60182, 53009, 50866, 52269, 50866, 52889, 54356, 53009, 51025, 52269, 51025, 53282, 51025, 50799, 52495, 50866, 53009, 50866, 53395, 50866, 53646, 64965, 52889, 54278, 52495, 51025, 52681, 51025, 53139, 51025, 52176, 59290, 53009, 50866, 52269, 50866, 55439, 50866, 52746, 60182, 53282, 54356, 52239, 50866, 52269, 50866, 52533, 54752, 52495, 50866, 53009, 50866, 51876, 50866, 50799, 52495, 50866, 53388, 50866, 53646, 55085, 53022, 51025, 52269, 51025, 51964, 59102, 52822, 51109, 52495, 51109, 53009, 51109, 52785, 73779, 52889, 57554, 51876, 58761, 52449, 51115, 55439, 51115, 64955, 58193, 52889, 53961, 53282, 54014, 54802, 50866, 52239, 50866, 52269, 50866, 52746, 60182, 54802, 51025, 53009, 58761, 53564, 51109, 53009, 51109, 52269, 51109, 74421, 64965, 53009, 54278, 53282, 53961, 52248, 51134, 53282, 51134, 52889, 67082, 51876, 57554, 55439, 54752, 52449, 51134, 55439, 51134, 64955, 58193, 52889, 53961, 53282, 54014, 53395, 51025, 55439, 51025, 52746, 57554, 52889, 54752, 52269, 51134, 52889, 51134, 74421, 58193, 53009, 50866, 52269, 50866, 54733, 59102, 52239, 51109, 52269, 61148, 53038, 60182, 53381, 51025, 52269, 57554, 51964, 51025, 50799, 53009, 51422, 53395, 51422, 53646, 64965, 52889, 54278, 52889, 58779, 52889, 57181, 52889, 52729, 52889, 50845, 54733, 51025, 50446, 52889, 70172, 52889, 57450, 52889, 50810, 50799, 53388, 51422, 52449, 51422, 53139, 50810, 53366, 51025, 50418, 53139, 59946, 53139, 52654, 53139, 58779, 53139, 57181, 53139, 52729, 53139, 50866, 53366, 60182, 53139, 51134, 50799, 53009, 51115, 52269, 51115, 54733, 58193, 52889, 50813, 52889, 55863, 52889, 52810, 52889, 54014, 52239, 51115, 53388, 51115, 52889, 51025, 53366, 57554, 52889, 54752, 52889, 51452, 50799, 52269, 50866, 54733, 64965, 53388, 54278, 52681, 50866, 57279, 59102, 53388, 54014, 52269, 51115, 54733, 60182, 52889, 58761, 52889, 50866, 50799, 53388, 51115, 53366, 71215, 53139, 54278, 53139, 53961, 53139, 54014, 52269, 51115, 53139, 51025, 52537, 51115, 50456, 53139, 50866, 50799, 53395, 51115, 53139, 51025, 53038, 66527, 53139, 53961, 53139, 61148, 52449, 51134, 52649, 60182, 53139, 54356 ]
[ 0, 250, 15352, 30054, 5175, 8, 3152, 2214, 4246, 13305, 6, 6755, 12547, 6, 3459, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 32909, 6, 2351, 41, 9066, 8, 25306, 5466, 19, 17878, 9, 15073, 8, 11098, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 38451, 3938, 20889, 9, 8403, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 14, 1171, 272, 119, 1176, 406, 6, 83, 73, 387, 6, 272, 73, 250, 6, 8, 83, 73, 534, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50796, 50796, 51382, 51463, 57916, 51456, 65083, 51326, 50817, 56142, 51407, 51706, 51977, 51198, 51933, 51144, 52266, 51119, 51161, 51023, 51446, 53181, 51486, 51881, 53454, 51743, 53454, 51656, 52821, 53128, 51160, 53583, 60368, 55133, 56056, 51696, 50426, 51092, 51056, 52105, 50434, 51061, 51313, 50438, 51193, 51003, 52777, 60604, 51443, 51354, 50446, 51706, 61958, 52568, 51096, 52827, 51706, 52369, 51198, 51585, 51144, 51161, 51119, 51933, 51023, 51692, 53583, 50841, 50799, 51092, 50918, 52261, 66014, 56670, 53128, 50936, 50430, 51096, 51388, 50431, 52372, 60661, 51993, 58396, 51031, 53758, 51407, 51280, 51358, 51232, 51685, 51099, 51896, 52133, 51486, 52033, 51486, 51615, 51422, 52372, 51977, 51320, 53083, 52261, 50799, 52777, 60941, 53128, 66183, 75644, 53128, 53632, 57272, 50964, 51735, 51706, 51073, 51198, 51454, 51144, 51566, 53181, 51127, 51881, 51127, 51743, 51145, 51993, 51343, 53583, 58854, 51304, 59890, 79647, 51931, 56107, 51566, 51706, 51345, 51198, 51290, 51144, 51073, 51690, 50930, 52261, 50442, 51304, 57993, 51384, 52259, 55245, 51096, 51054, 51280, 51427, 51232, 51235, 51099, 51238, 52133, 51013, 52033, 50889, 51615, 50889, 51690, 50880, 51643, 51167, 52777, 59617, 51304, 63027, 65083, 79647, 51993, 68581, 50961, 56142, 51009, 51706, 51933, 51119, 51585, 51198, 51585, 51144, 51933, 51023, 51196, 53181, 51161, 51881, 54300, 51743, 52821, 51656, 52903, 53583, 60368, 56868, 53128, 50948, 50422, 56056, 63492, 51092, 51191, 52105, 50434, 63709, 51061, 51518, 52777, 60604, 51443, 50823, 51193, 51194, 50446, 51069, 58642, 52568, 51096, 51870, 51706, 51941, 51198, 51585, 51144, 51585, 51119, 51585, 51023, 51538, 53128, 51013, 53583, 50841, 50799, 51092, 51103, 54761, 51290, 52261, 50425, 53128, 51896, 50426, 51061, 50995, 52777, 58854, 51096, 55996, 50964, 57642, 51031, 53758, 51407, 51280, 51585, 51232, 51941, 51099, 52266, 52133, 51518, 52033, 51486, 51615, 51692, 51320, 53083, 52261, 50458, 51993, 53662, 51031, 50799, 53128, 51175, 52777, 60161, 50927, 51045, 56056, 52589, 51031, 50425, 54061, 52870, 50964, 51603, 51706, 51238, 51198, 51235, 51144, 51460, 53181, 51103, 51881, 51103, 51743, 51103, 53128, 53579, 51392, 65416, 51993, 51291, 50430, 74909, 53583, 52766, 50964, 51072, 51706, 51160, 51198, 51227, 51144, 51238, 52777, 59673, 50798, 51031, 50449, 51643, 58647, 51096, 51055, 51280, 51175, 51232, 51235, 51099, 51460, 52133, 51013, 52033, 50889, 51615, 50914, 52777, 59617, 51456, 65083, 51993, 50952, 51326, 50961, 56142, 51009, 51198, 51896, 51119, 51896, 51706, 52311, 51144, 52311, 51023, 51285, 53181, 51161, 51881, 52903, 51743, 52903, 51656, 52045, 51304, 53632, 50898, 60368, 56868, 54061, 50841, 53128, 50924, 50418, 51384, 58745, 51690, 50859, 56056, 51356, 50426, 51092, 51204, 51304, 50840, 52261, 50430, 51384, 57307, 51061, 52222, 51690, 54957, 52777, 60604, 51443, 50823, 51193, 51255, 50445, 58196, 70089, 51069, 58642, 56385, 51096, 51009, 51706, 52282, 51198, 51941, 51144, 51896, 51119, 51896, 51023, 51518, 53583, 50841, 50799, 51092, 51183, 54061, 50841, 53128, 51173, 52261, 50422, 56056, 51620, 51061, 52136, 53128, 51167, 52777, 58331, 51096, 51045, 50434, 51205, 51014, 52372, 65110, 51031, 56107, 52311, 51280, 51977, 51144, 51977, 51099, 51585, 52133, 51717, 51743, 51486, 51615, 52337, 52372, 51307, 53583, 53083, 52105, 50799, 52777, 60941, 51280, 51173, 50422, 73634, 51144, 58396, 52630, 51133, 51977, 51280, 51896, 51099, 51941, 51232, 51933, 52033, 51422, 53583, 50841, 51570, 59596, 51633, 56300, 77314, 58323, 65344, 51280, 53393, 51031, 52534, 52311, 51280, 51527, 51144, 51685, 51099, 52282, 51743, 51692, 51320, 50841, 51544, 53116, 52777, 60604, 77375, 51280, 52392, 50446, 51133, 50858, 51099, 52369, 51144, 53238, 56385, 50964, 52266, 51232, 51941, 52033, 51518, 51320, 58323, 51471, 50799, 51441, 51985, 57369, 50798, 50949, 66014, 50820, 53924, 50825, 52594, 50829, 55935, 57320, 50804, 50846, 53357, 51685, 51706, 51585, 51198, 51161, 51144, 51933, 51485, 51407, 53583, 53083, 52105, 50458, 51842, 50799, 55389, 60941, 51431, 51100, 50422, 50945, 50887, 57878, 50945, 52266, 51708, 51941, 51280, 51585, 51144, 51933, 51431, 51454, 53583, 58694, 51898, 51124, 51570, 59673, 51842, 51955, 50898, 52270, 56995, 52334, 53071, 51031, 52354, 52282, 51198, 51285, 51144, 51661, 51706, 52097, 51485, 51066, 51320, 52870, 51485, 51073, 68039, 51280, 51379, 51232, 51603, 51099, 51112, 51485, 50824, 55389, 59673, 50945, 55758, 52936, 51527, 51280, 51472, 51144, 51661, 51119, 51472, 51431, 51196, 53583, 50841, 50799, 52261, 79142, 53516, 51019, 51054, 51280, 51454, 51232, 51454, 51099, 51054, 55389, 51872, 55649, 52334, 77121, 50852, 50895, 53758, 51585, 51708, 51941, 51198, 52266, 51144, 52369, 51485, 51196, 53583, 53083, 52105, 50799, 55389, 60941, 51431, 51173, 50422, 50798, 53087, 51096, 52266, 51706, 51585, 51198, 51941, 51144, 51933, 51485, 51054, 53583, 53116, 51431, 50936, 52261, 51955, 50898, 52270, 52193, 51723, 50818, 52354, 52282, 51708, 52266, 51280, 51941, 51144, 51585, 51431, 51045, 51320, 60941, 51898, 51696, 51544, 58854, 74909, 57974, 55389, 60604, 51153, 70894, 62228, 51275, 57642, 55245, 52936, 51054, 51435, 50896, 51837, 51013, 53583, 50841, 52354, 51527, 51275, 51013, 51435, 51055, 51881, 50995, 51743, 52337, 51863, 51003, 64612, 51153, 51454, 51435, 51566, 52133, 51003, 51656, 50995, 55389, 51872, 76082, 52334, 50940, 51468, 53357, 51977, 51198, 51356, 51144, 52282, 51308, 51977, 51485, 51870, 51881, 51422, 51863, 51692, 53583, 53083, 52105, 50799, 55389, 60941, 51198, 51173, 51431, 50923, 50422, 76976, 51144, 50952, 57451, 52936, 51585, 51119, 52311, 51280, 51472, 51144, 51336, 51431, 51505, 52133, 51662, 51656, 51422, 53583, 58608, 51898, 51362, 51570, 53083, 51280, 51454, 55389, 52270, 57916, 51144, 51215, 50458, 51119, 50858, 52334, 56728, 51031, 52354, 52311, 51198, 51345, 51144, 51285, 51308, 52195, 51485, 51653, 53181, 51183, 51881, 51183, 51743, 51145, 51320, 52870, 51198, 51345, 51485, 51055, 52261, 50430, 51468, 50434, 63423, 51232, 51603, 51099, 51290, 51153, 51227, 51744, 51237, 52133, 51264, 52033, 51003, 51615, 50995, 55389, 59673, 50945, 55620, 52936, 51356, 51280, 51285, 51144, 51551, 51119, 51685, 51509, 51009, 51743, 51422, 51656, 51518, 53583, 50839, 50799, 52105, 79142, 55800, 50945, 51072, 51280, 51566, 55389, 51872, 71373, 51144, 51175, 50434, 51119, 50821, 51431, 63779, 50961, 55208, 52827, 51198, 52195, 51099, 51356, 51308, 51358, 51579, 51483, 51193, 51585, 51881, 51518, 51615, 53082, 51863, 51422, 53583, 53083, 51579, 51496, 52105, 61310, 51290, 55389, 60941, 51099, 72882, 51509, 57257, 66586, 51308, 53238, 53087, 51019, 52266, 51232, 51527, 51099, 51551, 51153, 51472, 52067, 51072, 51092, 51585, 52033, 51518, 51711, 51692, 53583, 53116, 51579, 51483, 52261, 50446, 59056, 51280, 51016, 55389, 52270, 57916, 51144, 73499, 51509, 69312, 51099, 50894, 51579, 52259, 50895, 52354, 51407, 51280, 51285, 51144, 51235, 51119, 52369, 52067, 51237, 52133, 51538, 51743, 53454, 51656, 51692, 51320, 56260, 51023, 65951, 51144, 51551, 51509, 51274, 68039, 51280, 51500, 55389, 53041, 51485, 64201, 51019, 56562, 55245, 50927, 52266, 51198, 51551, 51144, 51551, 51308, 51685, 51509 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 15073, 6, 7630, 14805, 8597, 9, 657, 8, 10, 25306, 5466, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 10, 7212, 20889, 9, 8971, 13410, 228, 2289, 4, 20, 33215, 13931, 9, 211, 6, 3676, 406, 6, 163, 119, 406, 6, 83, 6, 8, 3676, 406, 3639, 5581, 7, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 51026, 57631, 66154, 61471, 54243, 51026, 57631, 66154, 61471, 53912, 50900, 55143, 58835, 66950, 55480, 51086, 52596, 51027, 59460, 58835, 51608, 50322, 50889, 54955, 58654, 58050, 65934, 55385, 51378, 56876, 52483, 50902, 50805, 51315, 57631, 65934, 55112, 51028, 52446, 51120, 59460, 61471, 51608, 50322, 55082, 51027, 59460, 58835, 66950, 50889, 57551, 57631, 66154, 65934, 54243, 50877, 50805, 51378, 59460, 61471, 55112, 50899, 52446, 50877, 67860, 62525, 66154, 55480, 50861, 55082, 51027, 70156, 58835, 55069, 50989, 50805, 57542, 58654, 62525, 51141, 74367, 53502, 52483, 50899, 59460, 55112, 50899, 50808, 50989, 57807, 50900, 52599, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 54955, 57631, 66154, 61471, 54243, 51026, 57631, 66154, 61471, 53912, 50900, 55143, 58835, 66950, 55480, 51086, 52596, 51027, 59460, 58835, 51608, 50322, 50889, 54955, 58654, 58050, 65934, 55385, 51378, 56876, 52483, 50902, 50805, 51315, 57631, 65934, 55112, 51028, 52446, 51120, 59460, 61471, 51608, 50322, 55082, 51027, 59460, 58835, 66950, 50889, 57551, 57631, 66154, 65934, 54243, 50877, 50805, 51378, 59460, 61471, 55112, 50899, 52446, 50877, 67860, 62525, 66154, 55480, 50861, 55082, 51027, 70156, 58835, 55069, 50989, 50805, 57542, 58654, 62525, 51141, 74367, 53502, 52483, 50899, 59460, 55112, 50899, 50808, 50989, 57807, 50900, 52599, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 54955, 51608, 50303, 62525, 57631, 50889, 53337, 50805, 51378, 62525, 59460, 55112, 50877, 53912, 51026, 62525, 66154, 51141, 58365, 55082, 50899, 50805, 51120, 55069, 50900, 62159, 56876, 50805, 57551, 50805, 51086, 68368, 57631, 55385, 51120, 52483, 51085, 68368, 68368, 59460, 53912, 51324, 62930, 68036, 66154, 55082, 50861, 50805, 51315, 65934, 68368, 51141, 50456, 50877, 50805, 57542, 66154, 51608, 50322, 50889, 54569, 52483, 50973, 67860, 66154, 65934, 55112, 50968, 53912, 51378, 59460, 78599, 72758, 50902, 53668, 51028, 52741, 50989, 50805, 51086, 61471, 51077, 72786, 60693, 50805, 56310, 51608, 50322, 59460, 74978, 51279, 71734, 66950, 55112, 50861, 52446, 51120, 68036, 59460, 61471, 55082, 50899, 62159, 59460, 61471, 55069, 50900, 50805, 57542, 55143, 66154, 61471, 55385, 51027, 52483, 51026, 62525, 66154, 65934, 53912, 50899, 50805, 51120, 59460, 51608, 50322, 55480, 50900, 52596, 50861, 67860, 51608, 50303, 61471, 55069, 50877, 50805, 57289, 50805, 51176, 68368, 66154, 51141, 58973, 52483, 51027, 68368, 58835, 55112, 50877, 53912, 51315, 68368, 66154, 55480, 50965, 52596, 50916, 50805, 51378, 59460, 59460, 51141, 71136, 50805, 54955, 62525, 66154, 55385, 50861, 54243, 51027, 70156, 58835, 55112, 50989, 53912, 51086, 50805, 51086, 61471, 51141, 55989, 55143, 55082, 50900, 68368, 55069, 50876, 56876, 50889, 54206, 66154, 62525, 51141, 55902, 54243, 51120, 59460, 55112, 50900, 62159, 52446, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 54955, 51608, 50303, 62525, 57631, 50889, 53337, 50805, 51378, 62525, 59460, 55112, 50877, 53912, 51026, 62525, 66154, 51141, 58365, 55082, 50899, 50805, 51120, 55069, 50900, 62159, 56876, 50805, 57551, 50805, 51086, 68368, 57631, 55385, 51120, 52483, 51085, 68368, 68368, 59460, 53912, 51324, 62930, 68036, 66154, 55082, 50861, 50805, 51315, 65934, 68368, 51141, 50456, 50877, 50805, 57542, 66154, 51608, 50322, 50889, 54569, 52483, 50973, 67860, 66154, 65934, 55112, 50968, 53912, 51378, 59460, 78599, 72758, 50902, 53668, 51028, 52741, 50989, 50805, 51086, 61471, 51077, 72786, 60693, 50805, 56310, 51608, 50322, 59460, 74978, 51279, 71734, 66950, 55112, 50861, 52446, 51120, 68036, 59460, 61471, 55082, 50899, 62159, 59460, 61471, 55069, 50900, 50805, 57542, 55143, 66154, 61471, 55385, 51027, 52483, 51026, 62525, 66154, 65934, 53912, 50899, 50805, 51120, 59460, 51608, 50322, 55480, 50900, 52596, 50861, 67860, 51608, 50303, 61471, 55069, 50877, 50805, 57289, 50805, 51176, 68368, 66154, 51141, 58973, 52483, 51027, 68368, 58835, 55112, 50877, 53912, 51315, 68368, 66154, 55480, 50965, 52596, 50916, 50805, 51378, 59460, 59460, 51141, 71136, 50805, 54955, 62525, 66154, 55385, 50861, 54243, 51027, 70156, 58835, 55112, 50989, 53912, 51086, 50805, 51086, 61471, 51141, 55989, 55143, 55082, 50900, 68368, 55069, 50876, 56876, 50889, 54206, 66154, 62525, 51141, 55902, 54243, 51120, 59460, 55112, 50900, 62159, 52446, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 57542, 62525, 62525, 57631, 50889, 53337, 50805, 51378, 62525, 59460, 55112, 50877, 53912, 51026, 62525, 66154, 51141, 58365, 55082, 50899, 57260, 55069, 50900, 62159, 56876, 50805, 57542, 57260, 55143, 57631, 55385, 51086, 67860, 50889, 53523, 60424, 56876, 55112, 51378, 57260, 56876, 52446, 51026, 62525, 57631, 66154, 55082, 61795, 51086, 58050, 57631, 51141, 50456, 51027, 62530, 50805, 57542, 57260, 58050, 50889, 53502, 60424, 56876, 52483, 50973, 57260, 68036, 61471, 55112, 50877, 52446, 50916, 74830, 57631, 51141, 55989, 62159, 52596, 50900, 68368, 58835, 55069, 50877, 50889, 54206, 66154, 62525, 51141, 55902, 54243, 51120, 59460, 55112, 50900, 62159, 52446, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 13305, 14, 1974, 149, 10, 765, 2214, 11, 211, 538, 4, 20, 6711, 7630, 6568, 10, 25306, 8, 2829, 2933, 5466, 6, 150, 6780, 10, 1472, 9, 26545, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 5, 15229, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 211, 6, 8, 3676, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 54955, 51682, 50299, 51689, 50303, 51682, 50303, 60924, 70978, 60262, 50900, 51100, 50900, 51100, 51315, 51178, 51315, 51110, 50916, 51110, 50916, 51110, 50876, 51110, 63830, 71356, 71356, 50442, 50899, 71415, 70215, 62614, 61420, 62176, 51731, 50303, 50854, 51086, 50854, 67563, 68530, 50443, 51120, 51537, 50294, 60168, 58368, 61097, 51085, 50878, 51085, 50925, 68526, 68526, 70489, 70489, 72251, 65313, 50454, 51315, 50839, 51315, 74296, 67801, 61686, 65335, 68128, 63287, 58693, 50902, 76343, 51238, 51027, 51048, 51027, 51048, 51378, 51807, 50298, 62649, 64815, 74127, 51241, 50989, 51241, 50877, 51191, 50877, 51204, 69341, 56143, 62926, 50434, 50899, 61441, 50800, 62198, 62198, 51026, 50942, 51026, 50925, 51086, 50942, 51086, 50942, 71777, 50973, 50910, 50440, 50899, 68370, 61368, 60924, 66499, 50878, 50973, 69775, 62784, 62784, 67594, 56251, 50447, 69466, 51027, 50897, 70489, 70489, 61084, 63121, 50459, 50899, 64815, 74127, 73450, 60015, 51191, 50877, 51204, 51120, 51134, 51120, 51241, 51027, 51241, 51027, 51191, 59412, 50900, 69179, 62225, 50861, 62053, 57108, 51214, 50844, 51214, 50833, 51120, 50844, 51120, 50810, 51026, 50822, 51026, 50844, 51086, 50854, 51086, 65860, 65758, 50808, 59285, 59285, 57731, 51026, 50942, 51026, 50925, 58882, 64871, 60537, 70427, 51086, 51588, 50303, 60042, 60042, 70155, 70155, 51828, 50330, 52014, 50330, 51919, 50327, 51514, 50327, 52446, 51086, 51178, 51086, 51178, 50899, 51110, 50899, 51110, 68062, 68062, 65338, 50902, 51175, 51026, 51221, 51026, 51124, 50951, 51124, 50951, 51238, 51220, 51255, 51220, 51116, 51146, 51124, 51146, 51235, 50453, 51430, 50839, 51430, 74359, 68382, 59304, 63271, 71914, 69730, 57924, 50916, 61687, 80131, 70455, 63357, 51026, 50942, 51026, 50925, 75818, 75818, 51146, 50897, 51146, 50940, 51086, 52434, 50303, 74134, 73916, 71676, 70155, 52014, 50327, 51514, 50327, 50805, 60212, 75818, 75818, 74242, 50951, 50952, 51026, 52434, 50299, 51588, 50303, 52434, 50303, 74134, 67922, 51828, 50327, 51588, 50327, 62803, 50968, 50910, 74242, 58884, 51062, 50924, 50436, 67594, 56251, 50968, 50925, 51027, 52014, 50301, 52014, 50328, 50917, 50448, 51086, 50897, 51086, 50897, 50951, 52434, 50323, 52098, 50327, 52434, 50327, 52014, 50330, 51588, 50330, 64469, 60358, 50805, 50460, 50876, 58681, 61552, 51177, 50968, 51100, 50951, 51121, 50951, 51111, 50900, 51124, 50900, 51124, 50916, 51255, 50916, 51255, 51062, 51124, 51062, 51238, 51027, 51400, 51027, 51400, 69341, 50951, 51804, 50327, 68821, 51027, 50908, 51027, 74572, 62176, 59304, 77786, 64160, 50899, 61441, 64441, 67922, 51828, 50322, 78809, 66083, 51111, 50999, 51173, 50445, 51220, 57295, 51214, 50829, 51214, 50839, 51026, 51689, 50299, 61930, 63271, 61936, 50808, 74790, 51220, 62474, 62198, 71777, 50973, 50910, 60537, 50902, 69085, 50951, 70789, 50829, 62198, 51026, 50925, 51026, 50897, 75818, 75818, 51086, 51665, 50303, 50866, 55753, 51026, 51682, 50299, 61368, 62947, 74336, 61441, 64441, 64830, 50858, 50973, 50910, 50973, 53244, 51086, 50833, 51086, 53627, 50989, 59353, 51178, 50902, 51110, 50433, 50989, 58800, 56876, 77821, 51178, 51378, 51110, 50899, 51095, 50899, 51095, 55989, 51162, 50899, 51162, 51378, 52019, 50298, 50995, 50449, 71091, 59836, 50968, 51710, 50320, 50936, 50455, 50899, 67679, 51731, 50322, 51828, 50322, 50948, 52177, 51315, 50942, 51315, 50897, 50861, 62111, 77607, 65872, 61552, 51121, 50968, 51111, 50951, 61241, 51016, 50418, 50899, 67504, 55863, 50916, 51100, 50916, 51100, 50902, 51111, 50902, 51158, 51027, 51110, 51027, 51095, 51040, 51178, 51040, 51178, 50877, 51346, 50877, 51112, 79471, 50870, 50956, 54950, 63558, 74104, 50441, 51028, 68270, 61541, 69272, 50940, 71774, 70427, 51114, 50830, 51114, 70089, 50989, 50839, 50989, 64563, 50861, 51204, 50973, 51204, 50973, 51091, 50968, 51191, 50968, 51091, 50453, 51315, 51194, 51315, 51110, 50861, 51191, 51809, 51315, 51581, 50296, 64729, 50861, 65335, 70248, 70459, 73662, 65872, 74083, 61700, 58893, 71091, 59836, 80152, 51028, 50897, 50968, 50925, 50968, 50910, 51027, 66016, 51588, 50305, 52434, 50305, 50977, 50428, 50916, 72075, 68099, 50902, 51191, 50989, 51351, 50877, 51241, 50877, 51191, 50440, 50899, 51377, 50899, 51377, 50902, 51241, 50989, 51134, 51120, 51742, 51120, 51452, 50451, 51027, 51191, 51027, 51191, 54206, 66477, 50859, 50989, 50897, 50989, 50910, 50877, 69272, 50940, 71774, 70427, 78091, 67738, 51828, 50292, 51514, 50292, 69214, 69214, 69474, 69474, 57669, 56876, 55673, 55673, 51936, 50301, 51121, 51027, 51100, 50437, 50900, 68382, 50809, 51085, 50854, 51085, 73614, 73614, 65389, 50916, 50895, 50916, 75715, 75715, 50883, 50968, 50884, 50968, 66219, 50989, 51804, 50310, 51804, 50322, 77101, 68168, 50900, 66174, 50834, 51085, 51682, 50292, 51581, 50301, 51689, 50301, 56132, 51324, 50810, 51086, 50925, 51086, 50925, 74242, 50951, 65022, 64294, 77607, 52098, 50315, 67922, 70459, 50948, 50460, 51324, 50822, 51026, 50854, 51026, 50833, 57731, 50861, 57094, 65872, 51121, 50973, 51100, 79727, 50902, 51060, 78441, 78441, 51086, 51203, 51086, 51203, 50435, 50861, 61368, 68370, 65758, 50808, 79948, 71777, 60537, 70427, 50436, 51086, 50854, 51086, 56888, 50916, 51351, 50916, 51351, 50902, 51091, 50902, 51294, 51027, 51241, 51027, 51241, 50861, 51189, 50861, 51189, 57289, 64422, 52628, 50989, 73446, 73797, 65090, 69817, 75818, 50899, 55640, 66638, 57213, 50431, 50861, 51100, 50861, 51100, 50973, 51400, 50973, 51377, 50899, 51413, 50899, 51413, 50432, 51086, 51741, 50303, 69836, 51134, 51026, 51351, 50443, 50861, 64294, 50865, 50448, 51086, 51514, 50303, 50901, 50454, 51026, 74540, 62053, 50940, 76326, 52177, 51315, 51043, 51315, 51194, 50900, 51194, 50900, 51194, 50916, 51095, 50916, 51095, 63830, 50876, 51215, 70176, 70176, 50431, 50899, 74336, 62947, 60924, 51689, 50294, 50844, 51120, 50810, 51086, 50854, 51086, 50854, 57213, 71094, 75651, 50973, 72538, 51085, 50854, 51085, 50812, 61097, 50968, 72528, 50897, 50900, 50897, 80143, 80143, 58537, 58537, 50442, 51315, 50820, 51315, 71809, 74296, 61508, 62053, 63835, 63835, 59248, 50902, 51112, 50902, 51227, 51378, 51800, 50298, 62525, 62525, 68036, 51241, 50989, 51241, 50877, 51191, 50877, 51204, 51809, 50876, 61816, 50948, 50422, 51026, 50812, 51026, 65758, 65758, 50808, 62198, 57031, 50973, 50910, 50973, 68821, 50899, 67232, 73046, 52434, 50315, 74957, 51026, 51682, 50299, 61368, 69937, 53263, 50900, 64774, 73614, 50897, 51027, 50910, 80143, 80143, 50861, 65022, 50952, 67594, 67908, 50447, 51027, 51056, 51027, 51159, 51120, 51619, 50294, 73450, 73450, 64763, 64763, 60598, 51241, 50877, 51191, 50460, 51378, 50828, 51378, 50846, 52478, 50861, 62947, 65469, 51214, 51689, 50299, 77184, 51682, 50303, 51682, 50303, 66229, 66675, 59244, 61368, 67161, 51214, 51537, 50294, 51682, 50294, 60734, 50899, 61441, 67027, 50925, 51026, 50897, 63121, 66088, 51086, 52098, 50303, 52098, 50315, 52098, 50315, 67922, 70459, 50924, 56020, 50973, 51204, 50423, 50899, 64815, 51800, 50303, 51351, 51086, 51351, 51026, 51351, 51026, 51241, 50861, 51204, 50861, 51091, 50973, 51191, 50902, 78776, 51343, 50440, 50861, 60924, 59397, 50916, 71809, 73619, 64774, 50812, 66634, 56251, 50968, 50925, 50968, 69352, 50899, 66675, 59244, 50812 ]
[ 0, 250, 20902, 3495, 2214, 11, 163, 3694, 6, 17407, 30, 63, 14899, 8, 15352, 30054, 2574, 4, 20, 21979, 9590, 6, 13305, 6, 23338, 33518, 1264, 6, 8, 21072, 283, 561, 7, 1045, 41, 20425, 8, 17627, 17274, 5466, 4, 590, 10, 1769, 20889, 9, 19641, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 163, 119, 6, 272, 6, 83, 406, 6, 163, 119, 6, 8, 272, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 56098, 50975, 51479, 60486, 58487, 52721, 51009, 50416, 53399, 51009, 51039, 59891, 51086, 50897, 70489, 63121, 61640, 53855, 52659, 51505, 51479, 71586, 51086, 50833, 64001, 50861, 53627, 65862, 53116, 51493, 51388, 51479, 60032, 51086, 50942, 74656, 64871, 52721, 50824, 50440, 53399, 51059, 51180, 54926, 50801, 63865, 51086, 58628, 73045, 52843, 51479, 60376, 52659, 51505, 52721, 51090, 50452, 53399, 75487, 51086, 67885, 61368, 62421, 76182, 57542, 51675, 50916, 51675, 50861, 51675, 51479, 58842, 51493, 51505, 51971, 51237, 50416, 56185, 51059, 51039, 54477, 50801, 53855, 51479, 60760, 52659, 51505, 51971, 51009, 50428, 56185, 61222, 55389, 53116, 51479, 60032, 51493, 51483, 50441, 50903, 72796, 54926, 50903, 53083, 51086, 50878, 61412, 58882, 51479, 60376, 52659, 50802, 51971, 50824, 50452, 56185, 75487, 50903, 53671, 50825, 53788, 51460, 51479, 58842, 51971, 51009, 50416, 56185, 51009, 53502, 50942, 74656, 64871, 52261, 61640, 53855, 51479, 60760, 51098, 67270, 60906, 61022, 50861, 52739, 65862, 53116, 51150, 52035, 50304, 51218, 50916, 78043, 51218, 51479, 60032, 51971, 50824, 50440, 56185, 51059, 51180, 54926, 51150, 55572, 53533, 51984, 52750, 50898, 60376, 51760, 51013, 50452, 53727, 75487, 65862, 58965, 52078, 50811, 53458, 51460, 51479, 58842, 51760, 51009, 50416, 53727, 57214, 51086, 59537, 57348, 50845, 52261, 61640, 53855, 51479, 60760, 51389, 60493, 51086, 50844, 69308, 50861, 59904, 51139, 53116, 51098, 52035, 50303, 51162, 50899, 51162, 50861, 51162, 51479, 50961, 51180, 54926, 51098, 55572, 53533, 51668, 50811, 51086, 79449, 65327, 50977, 51479, 54450, 50903, 53671, 57077, 51389, 50811, 53458, 50993, 51479, 77845, 59891, 50899, 50854, 61700, 50973, 55797, 50801, 53855, 51479, 60760, 51273, 50975, 58296, 50810, 56437, 50973, 58713, 51139, 53116, 51098, 50975, 51479, 55186, 74654, 58893, 68530, 52261, 60350, 53533, 51273, 50975, 51479, 54450, 50899, 62614, 66272, 56651, 76182, 53458, 51388, 51479, 56051, 50902, 62271, 50857, 76931, 50968, 54715, 53855, 51273, 50824, 51479, 58288, 50902, 54216, 50973, 56651, 51139, 53116, 51098, 56893, 53243, 50898, 60464, 50903, 72796, 54926, 51098, 56658, 53083, 51668, 67587, 62111, 77607, 50865, 51479, 54450, 65862, 58965, 51389, 50803, 56098, 50993, 51479, 56051, 51086, 50942, 74656, 64871, 52261, 61640, 53855, 51098, 50823, 51479, 54562, 51086, 50833, 64001, 50861, 67055, 51139, 59076, 51668, 52057, 50989, 51189, 50973, 51189, 51001, 51189, 51479, 60032, 51668, 50975, 51180, 54926, 50801, 53533, 51479, 60376, 51668, 58954, 50903, 53671, 57077, 52721, 69317, 53399, 50975, 56098, 51603, 51479, 58842, 52721, 50824, 50416, 53399, 64146, 51086, 61432, 57348, 50845, 52261, 61640, 53855, 51479, 60760, 51668, 50993, 52721, 50824, 50428, 53399, 68025, 51086, 50844, 65200, 50861, 59904, 51139, 53116, 51493, 50975, 51086, 51162, 50916, 51162, 50861, 51162, 51479, 60032, 52721, 50824, 50440, 53399, 51059, 51180, 54926, 50903, 53083, 51098, 50950, 51086, 52434, 50308, 65327, 50977, 51479, 60376, 52721, 51016, 50452, 53399, 75487, 65862, 58965, 51705, 50803, 56098, 51066, 51479, 58842, 51971, 51009, 50416, 56185, 57214, 51086, 50833, 64001, 58893, 52261, 61640, 53855, 51479, 60760, 51668, 51483, 50432, 51086, 50822, 63077, 50861, 61319, 51139, 53116, 51493, 51354, 51479, 55186, 51086, 58628, 73045, 51373, 54926, 50801, 53533, 51479, 60376, 51668, 51012, 51971, 50824, 50452, 56185, 75487, 51086, 58628, 73045, 58713, 76182, 53788, 50975, 51479, 58842, 51992, 51009, 50416, 58605, 51009, 51402, 53403, 62784, 64001, 58893, 52261, 61640, 53855, 52078, 50975, 51479, 50961, 72764, 50900, 50822, 63077, 50861, 61319, 51139, 53116, 51479, 60032, 51150, 50976, 51992, 50824, 50440, 58605, 51059, 51572, 53239, 50900, 58628, 73045, 54803, 53552, 53595, 50801, 56721, 52078, 50802, 51992, 50896, 50452, 58605, 51059, 51647, 52920, 50900, 58628, 73045, 58713, 50898, 54814, 71973, 53458, 50993, 51479, 58842, 51760, 51009, 50416, 53727, 51009, 51402, 63223, 59891, 51086, 65860, 69538, 55797, 50801, 53855, 51273, 51653, 51479, 50961, 72764, 65862, 59076, 51086, 64912, 50833, 50861, 53415, 51479, 60032, 51098, 50993, 51572, 58953, 51086, 50878, 60833, 58882, 50447, 53552, 53595, 50801, 56721, 51273, 51505, 51647, 52920, 51086, 50822, 60501, 50861, 61319, 50898, 54814, 71973, 53458, 51354, 51479, 56051, 51086, 50878, 60833, 58882, 52261, 61640, 53855, 51479, 60760, 51273, 75123, 51086, 50878, 60833, 58882, 55389, 53116, 51479, 60032, 51098, 62186, 51086, 50844, 69308, 60569, 52261, 50447, 50903, 53083, 51479, 60376, 51273, 63695, 51086, 69662, 61381, 62156, 76182, 53458, 50993, 51479, 50961, 54569, 50854, 61700, 67563, 52261, 61640, 53855, 51273, 51653, 51479, 54562, 50899, 62614, 66272, 56651, 51139, 53116, 51479, 60032, 51098, 50993, 51180, 60372, 74654, 58893, 50973, 55590, 50903, 53083, 51479, 60376, 51273, 51505, 71136, 50833, 58893, 50973, 67055, 76182, 53458, 51354, 51479, 75179, 53403, 74654, 58893, 68530, 52261, 61640, 53855, 51479, 60760, 51273, 51354, 50429, 50899, 50812, 59285, 50973, 51420, 53575, 65862, 53116, 50899, 51775, 50861, 51775, 50973, 51775, 51479, 60032, 51098, 50993, 51572, 55354, 53552, 53595, 50801, 56721, 51273, 51014, 51647, 52920, 50899, 59244, 66365, 58972, 50898, 54814, 71973, 54079, 50975, 51479, 77845, 59891, 75818, 50989, 65840, 50897, 61640, 53855, 52419, 51505, 51479, 60760, 51760, 50976, 50428, 53727, 74512, 74654, 70947, 50877, 53627, 65862, 59076, 51760, 72371, 53727, 60363, 51273, 51388, 51479, 60032, 70537, 69874, 64940, 51760, 50824, 50440, 53727, 51059, 51180, 54926, 50903, 61762, 70798, 59289, 50877, 52843, 51479, 60376, 52419, 51505, 51760, 50824, 50452, 53727, 51059, 71136, 72389, 62391, 62421, 76182, 54206, 51675, 50989, 51675, 50877, 51675, 51479, 58842, 51273, 51505, 51760, 51009, 50416, 53727, 51009, 51039, 54477, 50801, 53855, 51479, 60760, 52419, 51505, 50432, 65862, 53116, 51479, 60032, 51273, 51483, 51971, 50824, 50440, 56185, 51059, 53012, 70041, 54926, 66502, 52846, 60833, 68532, 57634, 51479, 60376, 52419, 50802, 52678, 50896, 50452, 59916, 51059, 56871, 54147, 50825, 53788, 50975, 51479, 58842, 51992, 51029, 50416, 58605, 51300, 53502, 50833, 64001, 58893, 52261, 61640, 53855, 52078, 50975, 51479, 54562, 50900, 50822, 63077, 50861, 61319, 51139, 59076, 51992, 72371, 58605, 60363, 51479, 60032, 51150, 50976, 51992, 51237, 50440, 58605, 51059, 55513, 58628, 73045, 51373, 54926, 50801, 53533, 51479, 60376, 52078, 50802, 51992, 50824, 50452, 58605, 51059, 72407, 58628, 73045, 58713, 53671, 50825, 53458, 51603, 51479, 58842, 51971, 51111, 50416, 56185, 50975, 54569, 50942, 64871, 75651, 52261, 50421, 51760, 51029, 50422, 53727, 51300, 61640, 53855, 51479, 60760, 51273, 67270, 61335, 58219, 50973, 52739, 65862, 53116, 51098, 50975, 50899, 78043, 51218, 50973, 51218, 51479, 50961, 51180, 54926, 50801, 53533, 51705, 55572, 50898, 54450, 65862, 58965, 52659, 50803, 54079, 51066, 51479, 50961, 54569, 50833, 70947, 59755, 52261, 61640, 53855, 51479, 60760, 51216, 51483, 58296, 68897, 59035, 61319, 51139, 59076, 52213, 72371, 52235, 60363, 51273, 51354, 51479, 60032, 51760, 50824, 50440, 53727, 51059, 55989, 50810, 59289, 50877, 51373, 54926, 50801, 53533, 51479 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 13305, 6, 3459, 9590, 6, 23338, 33518, 1264, 6, 5730, 2342, 4467, 6, 8, 3459, 8669, 4, 20, 33301, 16, 278, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 274, 10431, 119, 8, 163, 119, 16, 5705, 6636, 1328, 5, 2214, 6, 8216, 7, 63, 17627, 17274, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 69935, 50948, 51232, 50952, 51099, 50942, 51429, 50925, 55906, 51021, 51019, 51014, 52358, 52432, 73264, 77223, 51780, 50813, 57963, 50849, 52358, 53423, 51545, 53383, 51350, 50891, 51250, 50835, 51780, 50835, 55076, 53888, 51044, 54013, 51350, 50908, 51250, 50886, 51780, 53670, 52533, 50936, 51232, 50924, 79091, 51429, 50910, 51545, 50825, 55906, 51173, 51019, 53235, 51044, 53593, 51350, 50828, 51250, 50855, 51780, 53813, 57963, 55325, 53905, 58001, 50800, 51545, 52616, 55076, 50892, 52358, 53641, 58001, 50890, 51350, 63589, 55906, 50910, 54161, 53545, 58001, 50890, 51545, 54038, 52533, 50894, 51350, 50809, 61186, 55417, 53902, 51133, 50855, 50799, 52649, 50910, 51494, 50917, 51429, 50830, 51275, 50910, 57963, 50897, 51415, 51014, 52358, 52432, 53180, 50813, 55076, 51033, 52358, 53423, 51195, 52992, 51659, 50910, 51780, 50952, 56318, 50901, 54161, 52209, 52649, 50936, 51494, 50910, 51429, 50830, 51275, 50924, 74900, 57963, 50806, 51415, 53056, 51044, 53593, 51659, 50895, 51780, 53813, 55076, 54068, 52210, 52649, 51379, 74900, 56318, 50974, 52358, 53641, 51659, 51121, 52646, 54105, 57963, 50823, 52657, 54172, 51044, 53545, 51494, 50938, 51429, 50938, 51275, 50865, 56296, 54663, 51659, 50836, 61186, 55589, 53902, 52646, 50840, 69935, 50897, 52040, 50866, 51232, 50910, 79091, 51429, 50917, 51726, 50830, 55906, 50977, 78138, 52358, 52432, 72708, 77483, 57963, 50952, 52358, 52437, 51350, 50873, 55076, 50923, 54161, 52209, 51489, 50910, 51516, 50910, 52461, 50897, 51545, 50855, 55906, 50893, 51019, 53235, 51044, 52565, 66098, 51250, 50808, 57963, 52808, 52210, 52533, 51030, 55076, 50901, 52358, 53641, 51350, 65504, 51232, 50937, 51099, 50938, 51429, 50849, 55906, 50878, 54161, 53545, 51726, 52955, 51350, 50809, 61186, 55417, 50818, 50799, 52649, 50924, 51494, 50952, 51429, 50952, 51275, 50952, 53180, 50830, 57963, 51045, 51415, 51021, 52358, 52432, 51659, 50890, 51780, 50887, 55076, 50917, 52358, 52437, 51659, 50873, 56318, 50924, 54161, 52209, 52649, 50940, 51494, 50910, 51429, 50910, 51275, 50910, 67250, 57963, 50938, 51415, 54168, 51044, 52565, 51659, 50836, 51780, 50808, 55076, 57837, 52210, 56318, 50873, 52358, 53641, 51659, 65504, 57963, 50940, 54161, 53545, 51494, 50948, 51429, 50924, 51275, 50948, 53180, 50812, 51213, 56838, 51659, 50809, 61186, 51033, 51011, 52189, 50818, 69935, 50948, 51232, 50952, 51099, 50942, 51429, 50925, 55906, 50849, 51019, 51014, 51301, 52369, 51266, 51352, 52358, 52432, 66098, 77223, 57963, 50897, 52358, 52437, 55076, 52918, 51044, 54013, 51350, 52953, 52533, 50936, 51232, 50924, 79091, 51429, 50910, 55906, 50879, 51019, 53235, 51044, 53593, 51545, 52766, 51350, 50857, 51250, 50822, 57963, 57837, 53905, 58001, 51820, 76365, 55076, 50917, 52358, 53641, 58001, 50890, 51350, 65223, 55906, 50955, 51600, 50802, 51491, 51328, 54161, 53545, 58001, 54663, 52533, 50894, 66098, 61186, 50940, 51088, 51060, 51182, 66363, 53902, 51133, 50855, 50799, 52649, 50948, 51494, 50952, 51429, 50942, 51275, 50925, 57963, 50860, 51415, 51021, 51491, 53174, 51600, 51352, 52358, 52432, 53180, 50813, 55076, 50866, 52358, 53423, 51195, 52992, 51659, 50910, 51780, 50952, 56318, 53543, 51044, 52209, 52649, 50936, 51494, 50924, 51429, 50830, 51275, 50910, 74900, 57963, 51012, 51415, 54168, 51044, 53593, 51659, 50895, 51780, 53813, 55076, 54068, 53905, 52649, 51820, 74900, 56318, 50977, 52358, 53641, 52649, 50890, 51659, 64860, 57963, 50823, 51088, 50911, 51182, 50923, 54161, 53545, 52649, 50890, 51213, 56838, 52649, 50894, 51659, 50836, 61186, 75159, 50859, 51113, 51158, 51284, 62003, 50818, 69935, 50897, 51232, 50952, 79091, 51429, 50830, 51726, 50830, 55906, 50940, 58337, 51088, 51407, 51182, 51407, 52358, 52432, 72708, 77483, 57963, 50940, 52358, 52437, 51350, 50873, 55076, 50893, 54161, 52209, 52533, 50924, 51232, 50952, 51099, 50952, 51429, 50865, 51545, 50855, 55906, 50805, 51019, 51014, 52358, 52565, 66098, 51250, 50808, 57963, 54042, 52210, 55076, 50901, 51600, 50802, 51491, 51111, 52358, 53641, 51350, 65504, 55906, 50942, 51088, 50805, 51182, 50923, 54161, 53545, 51726, 52955, 51350, 50809, 61186, 50890, 51113, 51432, 51284, 51331, 53902, 54387, 50809, 50799, 52649, 50910, 51561, 50917, 79408, 51429, 50910, 52652, 50811, 53990, 50811, 55320, 50811, 58749, 51010, 51415, 50948, 51357, 53241, 51558, 51795, 52358, 52432, 52652, 50811, 53990, 50817, 55320, 50811, 58749, 51670, 51044, 52437, 52652, 50817, 55320, 50811, 53990, 50811, 58749, 52279, 51044, 52209, 52649, 50936, 51561, 50910, 79408, 51429, 50924, 52652, 50817, 53990, 50811, 55320, 50811, 58749, 50811, 51415, 59872, 60079, 51570, 52210, 52649, 51379, 63536, 52612, 57868, 52235, 54411, 53016, 50811, 53399, 51194, 51553, 53545, 51561, 50938, 51119, 50938, 51429, 50865, 51224, 52349, 51289, 50818, 50799, 53399, 51059, 52533, 50948, 51232, 50952, 51099, 50942, 51429, 50925, 51019, 51014, 52358, 52432, 65507, 65591, 52209, 51971, 50803, 52533, 50936, 51232, 50924, 79091, 51429, 50910, 51019, 53235, 51044, 52565, 51992, 51805, 53905, 58001, 51820, 51992, 50976, 52358, 53641, 58001, 50890, 51382, 51044, 53545, 58001, 54663, 52235, 50811, 52533, 51739, 53902, 51133, 59700, 53016, 50817, 50799, 53399, 51407, 52649, 50948, 51494, 50952, 51429, 50942, 51275, 50925, 51415, 52090, 51044, 52432, 52358, 52437, 54615, 56106, 51044, 54013, 53918, 52739, 52649, 50936, 51494, 50924, 51429, 50830, 51275, 50910, 51415, 51014, 54615, 53197, 51044, 53593, 53036, 56983, 52817, 51805, 53905, 52649, 51820, 53036, 51670, 51044, 53641, 52649, 54755, 53399, 50975, 54375, 52279, 55280, 50452, 52817, 58639, 52649, 50890, 54375, 53650, 52649, 50894, 53200, 51331, 53902, 51205, 57747, 56447, 51031, 50799, 56185, 51029, 52533, 50942, 52040, 50858, 51232, 50858, 51099, 50858, 78138, 53719, 51029, 52358, 52432, 65507, 65591, 52209, 53399, 50930, 52533, 50942, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 52358, 52565, 51992, 54589, 52210, 51971, 51599, 55280, 51382, 51044, 53545, 52678, 53875, 51992, 52217, 53902, 52678, 50879, 76139, 52827, 52533, 50854, 52040, 50800, 51232, 50800, 51099, 62416, 51014, 52358, 52432, 52358, 52437, 53719, 54078, 51044, 54013, 52817, 52749, 52533, 50854, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 54375, 53835, 51044, 53593, 53719, 54362, 54375, 51331, 53905, 50953, 54247, 51280, 50910, 51232, 50910, 51119, 50910, 52817, 50923, 52358, 53641, 51011, 62955, 53016, 52568, 53399, 50993, 54375, 50924, 54161, 53545, 52040, 50921, 51232, 50921, 51099, 50921, 51415, 54663, 51205, 50962, 53719, 55589, 56904, 53527, 50817, 50799, 56185, 51573, 52533, 50942, 52040, 50858, 51232, 50858, 51099, 50858, 78138, 54615, 51352, 52358, 52432, 65507, 65591, 52209, 53399, 50893, 52533, 50942, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 52358, 52565, 51992, 55188, 52210, 51971, 50975, 65507, 51382, 51044, 52349, 52678, 52304, 56904, 51971, 50949, 50799, 52678, 50993, 52533, 50854, 52040, 50800, 51232, 50800, 51099, 62416, 51014, 52358, 52432, 52358, 52437, 53399, 51059, 54615, 56106, 51044, 54013, 53918, 52749, 52533, 50854, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 54615, 53835, 51044, 53593, 53036, 55467, 52817, 51052, 53905, 50953, 54247 ]
[ 0, 250, 32076, 8, 33558, 3495, 2214, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 17605, 9590, 6, 3741, 27374, 594, 6, 8, 10170, 1499, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 7212, 20889, 9, 14512, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 11509, 12049, 9, 657, 8, 7125, 149, 63, 17627, 17274, 34879, 8, 4798, 17130, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 57333, 50420, 50688, 50313, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 52870, 63018, 59953, 50688, 50308, 50862, 50688, 50313, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 54606, 50688, 50317, 71916, 50313, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50313, 54735, 50688, 50308, 56069, 63018, 51189, 50688, 50308, 51189, 50688, 50313, 51189, 50688, 50317, 51189, 50799, 50688, 50308, 50864, 50688, 50313, 51254, 50688, 50317, 51254, 50417, 50688, 50308, 52761, 50688, 50313, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 52870, 63018, 59953, 50688, 50308, 50862, 50688, 50313, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 54606, 50688, 50317, 71916, 50313, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50313, 54735, 50688, 50308, 56069, 63018, 51189, 50688, 50308, 51189, 50688, 50313, 51189, 50688, 50317, 51189, 50449, 55625, 50889, 50461, 52540, 51867, 50300, 77006, 55501, 51376, 50992, 65226, 51166, 50799, 55625, 51112, 50419, 51396, 51043, 50420, 50688, 50312, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 72248, 59243, 69614, 51424, 50293, 51242, 50868, 53172, 63018, 50836, 51017, 76153, 66852, 50844, 53242, 51145, 52393, 51145, 51908, 51047, 50427, 50688, 50308, 50862, 50688, 50312, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 50834, 51396, 69751, 51424, 50293, 61942, 55501, 78159, 58926, 50688, 50317, 71916, 50312, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50312, 50828, 52540, 50829, 51396, 50857, 51017, 76153, 55262, 50688, 50308, 50971, 51125, 50867, 50992, 63954, 50868, 50857, 51017, 50828, 52540, 51753, 51396, 60362, 51396, 69751, 59243, 69614, 53969, 63018, 51189, 50688, 50308, 51189, 50688, 50312, 51189, 50688, 50317, 51189, 50868, 55125, 53195, 50938, 51396, 50867, 52540, 71086, 76153, 59713, 55493, 51226, 50456, 51017, 51424, 50293, 64232, 69614, 68876, 60046, 50917, 70128, 51058, 51042, 50917, 51791, 50932, 58661, 50420, 50688, 50310, 50857, 50688, 50315, 50857, 50688, 50303, 60038, 50306, 50841, 51042, 72024, 57898, 50917, 68352, 50421, 51506, 54335, 50688, 50303, 50836, 51042, 75808, 72913, 50863, 51666, 51145, 52939, 51145, 52330, 51148, 50427, 50688, 50306, 50862, 50688, 50310, 60038, 50315, 59225, 50688, 50303, 50912, 50688, 50306, 53670, 50688, 50306, 74713, 51424, 50291, 51058, 80232, 77073, 51058, 50935, 58926, 50688, 50315, 71916, 50310, 60038, 50306, 50864, 50688, 50303, 53980, 50688, 50303, 50863, 50688, 50306, 50820, 50688, 50310, 80025, 65535, 50886, 51791, 64624, 56432, 50688, 50306, 50971, 50935, 66275, 59823, 74713, 63954, 51506, 50863, 51791, 62971, 51042, 77073, 51501, 50291, 61235, 57898, 56611, 55945, 50688, 50303, 51189, 50688, 50306, 51189, 50688, 50310, 51189, 50688, 50315, 69830, 51506, 50864, 51042, 50862, 58816, 51791, 50825, 66697, 50935, 51000, 50455, 54182, 54752, 51042, 57898, 77073, 60308, 50987, 51791, 59925, 50937, 50461, 55625, 51030, 63649, 50978, 52540, 51199, 51396, 51174, 50420, 50688, 50317, 50857, 50688, 50322, 50857, 50688, 50308, 60038, 50312, 50841, 51396, 50987, 51017, 63879, 50897, 73368, 51125, 50897, 50425, 55625, 54919, 50688, 50308, 50836, 51908, 51148, 52393, 51148, 53242, 51145, 50427, 50688, 50312, 50862, 50688, 50317, 60038, 50322, 59225, 50688, 50308, 50912, 50688, 50312, 62000, 55625, 50809, 51017, 66440, 50688, 50312, 50834, 52540, 51212, 51396, 51242, 50868, 59243, 69614, 58926, 50688, 50322, 71916, 50317, 60038, 50312, 50864, 50688, 50308, 61360, 55625, 54993, 50688, 50308, 50863, 50688, 50312, 50820, 50688, 50317, 54735, 50688, 50312, 50971, 51125, 69638, 59108, 50857, 51017, 60604, 51396, 65672, 52540, 51867, 50300, 67493, 55501, 51100, 50992, 69614, 53969, 50688, 50308, 51189, 50688, 50312, 51189, 50688, 50317, 51189, 50688, 50322, 51189, 50449, 55625, 50977, 52540, 50857, 51396, 50857, 51017, 76153, 50862, 51125, 61021, 55493, 50967, 51017, 51100, 52540, 51867, 50300, 57371, 59243, 69614, 50849, 70128, 51006, 51791, 52011, 51042, 50917, 59082, 50420, 50688, 50315, 50857, 65698, 50857, 50688, 50303, 60038, 50310, 50841, 51506, 51212, 51042, 57618, 57898, 56611, 54278, 50688, 50303, 62552, 74361, 50834, 51666, 51145, 52330, 51148, 52939, 51148, 50427, 50688, 50310, 50862, 50688, 50315, 60038, 50318, 59225, 50688, 50303, 50912, 50688, 50310, 53670, 50688, 50310, 74713, 57618, 57898, 51100, 51506, 51242, 60893, 51791, 69783, 65698, 71916, 50315, 60038, 50310, 50864, 50688, 50303, 53980, 50688, 50303, 50863, 50688, 50310, 50820, 50688, 50315, 62078, 50935, 58430, 51534, 50441, 50688, 50310, 50971, 51042, 50836, 58816, 51506, 63938, 51042, 77073, 50987, 50935, 51110, 51791, 51058, 50848, 55945, 50688, 50303, 51189, 50688, 50310, 51189, 50688, 50315, 51189, 65698, 51189, 50449, 54182, 50952, 51506, 50857, 51042, 50836, 51791, 50867, 50944, 61192, 55493, 75087, 51506, 73019, 57898, 57618, 51424, 50291, 51006, 67102, 50460, 55625, 51388, 50799, 52540, 51058, 51506, 77006, 61195, 50688, 50317, 50857, 50688, 50322, 50857, 50688, 50310, 60038, 50313, 50841, 51506, 67493, 50917, 50944, 50917, 52540, 57349, 50917, 51125, 78868, 50944, 52870, 50688, 50310, 58243, 50836, 77770, 52939, 51145, 52393, 51148, 52368, 51145, 50427, 50688, 50313, 50862, 50688, 50317, 60038, 50322, 67161, 51125, 51862, 50430, 50688, 50310, 50912, 50688, 50313, 53670, 50688, 50313, 50834, 51506, 67493, 51424, 50293, 67921, 55792, 69614, 58926, 50688, 50322, 71916, 50317, 60038, 50313, 50864, 50688, 50310, 53980, 50688, 50310, 50863, 50688, 50313, 50820, 50688, 50317, 65535, 62703, 55788, 50688, 50313, 50971, 51125, 56709, 68015, 50862, 51017, 51110, 51506, 59144, 52540, 62971, 50944, 53969, 50688, 50310, 51189, 50688, 50313, 51189, 50688, 50317, 51189, 50688, 50322, 51189, 52540, 51058, 51506, 50978, 50850, 69614, 72360, 54825, 51021, 51017, 50836, 52540, 50829, 51506, 68058, 54208, 51125, 50886, 50850, 61081, 51125, 51022, 50455, 53195, 51158, 51017, 57898, 77073, 51501, 50293, 57349, 69614, 51100, 63649, 51523, 50293, 51766, 50300, 51254, 50868, 76813, 50688, 50312, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 50841, 51396, 67493, 51424, 50293, 51058, 50992, 55501, 66131, 63963, 63018, 50836, 51017, 68565, 51126, 52393, 51148, 51908, 51145, 53242, 51145, 50427, 50688, 50308, 50862, 50688, 50312, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 50834, 52540, 51766, 50300, 69751, 51110, 50868, 59243, 69614, 58926, 50688, 50317, 71916, 50312, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50312, 50828, 52540, 50864, 51396, 51000, 50868, 50863, 50992, 66090, 51125, 56755, 50688, 50308, 50971, 51125, 50874, 50992, 64781, 57553, 51017, 50836, 51396, 53594, 63018, 51189, 50688, 50308, 51189, 50688, 50312, 51189, 50688, 50317, 51189, 52540, 51681, 50300, 50978, 51017, 69614, 51110, 50868, 59243, 53794, 52540, 50825, 51396, 50864, 68492, 50868, 65392, 50992, 62476, 54182, 53875, 52540, 51523, 50300, 69751, 59243, 69614, 51100, 65671, 50461, 55493, 50806, 69768, 51058, 51506, 50978, 51042, 50873, 51666, 53866, 52939, 53866, 50420, 50688, 50310, 50857, 50688, 50315, 50857 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3495, 2214, 19, 10, 7212, 20889, 6, 4246, 30587, 8, 2382, 3459, 29589, 6, 13305, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 24536, 10, 16331, 33215, 16739, 9, 1918, 406, 6, 211, 119, 406, 6, 8, 272, 406, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 5466, 10686, 13, 3618, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 52963, 50811, 51334, 50838, 51893, 50805, 52700, 50838, 64220, 56235, 70925, 55482, 51684, 51732, 51457, 55482, 51825, 55277, 50902, 52231, 50902, 52231, 50902, 52231, 50902, 52231, 50902, 52231, 50902, 52231, 50415, 70778, 58728, 52287, 56235, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 53903, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 53903, 51647, 54166, 64581, 51334, 50838, 51893, 50805, 52700, 56517, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51334, 50838, 51893, 50805, 52700, 56909, 50852, 53548, 58925, 53903, 51532, 53810, 64581, 51334, 50838, 51893, 50805, 52700, 56784, 50852, 50840, 51450, 53903, 51572, 54400, 64581, 51334, 50838, 51893, 50805, 52700, 57060, 50852, 53688, 50801, 57384, 50880, 51647, 56354, 50816, 50840, 53206, 50811, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 51137, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51924, 50838, 52700, 50838, 54193, 50805, 51132, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51924, 50838, 52700, 50838, 54193, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 67624, 52140, 51303, 51662, 50436, 62279, 52140, 51327, 51662, 50437, 65387, 52140, 51818, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 50852, 54871, 50852, 50840, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 51137, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51924, 50838, 52700, 50838, 54193, 50805, 51132, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51924, 50838, 52700, 50838, 54193, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 67624, 52140, 51303, 51662, 50436, 62279, 52140, 51327, 51662, 50437, 65387, 52140, 51818, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 52294, 51795, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 69653, 52341, 51538, 60506, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 50852, 54871, 50852, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51211, 51184, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51924, 50838, 52700, 50838, 54193, 50805, 70010, 51219, 51407, 60506, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51924, 50838, 52700, 50838, 54193, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 67624, 52140, 51303, 51662, 50436, 62279, 52140, 51327, 51662, 50437, 65387, 52140, 51818, 51662, 51450, 53903, 70778, 52140, 51219, 51492, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 51137, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 50852, 54871, 50852, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51374, 54934, 50852, 50840, 51528, 53903, 70010, 67602, 74673, 51219, 50905, 51282, 60109, 57599, 50795, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51532, 53810, 64581, 70010, 51046, 50978, 51143, 50978, 51219, 50978, 51282, 50865, 51118, 50865, 51089, 62803, 50852, 50840, 51450, 53903, 51640, 50802, 67602, 74673, 51569, 50905, 51282, 60109, 78319, 50795, 51572, 54400, 50852, 55059, 50852, 53688, 58925 ]
[ 0, 250, 20902, 3495, 1619, 2214, 4246, 13305, 6, 21072, 6, 12280, 3275, 1725, 3109, 6, 3152, 6757, 6, 8, 3459, 8669, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 8325, 163, 5683, 6, 17407, 30, 10, 33215, 16739, 9, 274, 119, 6, 12608, 6, 163, 428, 6, 274, 119, 6, 8, 230, 119, 6, 2351, 10, 1372, 8, 33558, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50799, 61236, 57974, 55723, 51468, 50458, 52977, 51675, 50460, 53146, 51077, 50799, 51859, 51336, 52463, 74814, 52301, 51336, 52977, 51336, 51829, 51336, 53426, 51336, 50799, 53503, 51336, 51859, 51336, 52317, 51336, 53146, 74814, 52301, 51336, 51953, 51336, 51676, 51336, 51829, 51336, 52354, 50806, 51859, 50952, 52977, 50952, 51829, 50952, 52553, 52639, 75752, 51674, 50836, 51334, 50862, 51762, 50434, 50945, 58732, 53294, 53085, 50879, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50446, 53016, 53835, 53711, 53085, 50917, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50458, 53016, 50991, 53596, 52090, 51041, 56818, 52943, 72265, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 77059, 51850, 68796, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 50446, 52943, 51896, 50798, 53711, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 55708, 52090, 51041, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50434, 51228, 59872, 53294, 52943, 50879, 70760, 51674, 50862, 51934, 50854, 51762, 50446, 51850, 61174, 53711, 52943, 50795, 51256, 50810, 51674, 50809, 51934, 50864, 51762, 50458, 52943, 51977, 60620, 50924, 52553, 52639, 51772, 50886, 51674, 50857, 51334, 50862, 51762, 50434, 51796, 61958, 53294, 51772, 50864, 51674, 50867, 51334, 51559, 55685, 50798, 53711, 51772, 50857, 51674, 70625, 50862, 51762, 57796, 50883, 52354, 52090, 51041, 52639, 75752, 51674, 50836, 51334, 50862, 51762, 50434, 76976, 51850, 52784, 53294, 53085, 50893, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50446, 53016, 53590, 53711, 53085, 50865, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50458, 53016, 51235, 53596, 52090, 51041, 56818, 52943, 63963, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 77059, 51850, 67774, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 50446, 51850, 53948, 53711, 52943, 51016, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 55708, 50806, 53882, 51362, 52553, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50430, 52292, 62408, 77221, 53324, 58732, 53294, 52943, 50879, 70760, 51674, 50862, 51934, 50854, 52550, 51285, 51762, 50446, 51850, 59083, 53711, 52943, 50938, 51256, 50810, 51674, 50809, 51934, 50864, 51762, 50458, 52943, 51623, 53324, 50952, 55708, 50806, 53296, 51661, 52553, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50434, 61207, 53324, 58396, 53294, 51366, 50886, 51209, 50862, 51334, 50854, 54769, 51016, 51762, 60260, 53711, 51366, 50810, 51209, 50809, 51334, 50864, 53029, 50889, 51762, 57796, 50883, 52354, 50924, 51829, 51151, 52463, 51151, 55919, 51313, 52553, 52639, 75752, 51674, 50836, 51334, 50862, 51762, 50434, 50945, 51896, 50798, 53294, 53085, 50924, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50446, 53016, 53632, 53711, 53085, 50938, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50458, 53016, 51167, 54516, 51192, 52553, 56818, 52943, 53906, 52943, 50936, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 51186, 51896, 51850, 72706, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 50446, 52943, 55157, 53711, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 65310, 51173, 52553, 52639, 52943, 50879, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50434, 52022, 51977, 51850, 60623, 53294, 52943, 50830, 70760, 51674, 50862, 51934, 50854, 51762, 50446, 52943, 57277, 53711, 51850, 51362, 51256, 50810, 51674, 50809, 51934, 50864, 51762, 55563, 50806, 53324, 51013, 52553, 56818, 52527, 51977, 50426, 51772, 50886, 51674, 50857, 51334, 50862, 52049, 51013, 51975, 51127, 51762, 50434, 51325, 61025, 53294, 51772, 50864, 51674, 50867, 51334, 50813, 52292, 51013, 54073, 50889, 51762, 60260, 53711, 50953, 51013, 51772, 50857, 51674, 70625, 50862, 53334, 51013, 52205, 50914, 51762, 57796, 50883, 52354, 52090, 51041, 56818, 51850, 51620, 53085, 50879, 52184, 50901, 75752, 51674, 50836, 51334, 50862, 51762, 51001, 51819, 50434, 76976, 53016, 50810, 51567, 53590, 71360, 51998, 50438, 53085, 50936, 52184, 50866, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 51001, 55055, 50446, 53016, 50855, 51567, 52784, 71360, 53379, 50450, 53085, 50938, 52184, 50977, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 51001, 55055, 50458, 53016, 51192, 52170, 51212, 51028, 56120, 53596, 52090, 51041, 56818, 52943, 51196, 51567, 51314, 76160, 50426, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 51096, 58396, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 60260, 53711, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 55708, 50806, 53882, 51945, 53634, 50943, 52553, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 52292, 50807, 54073, 50943, 51762, 50434, 77221, 51850, 50925, 51986, 59083, 50883, 50965, 53106, 50438, 52943, 50879, 51567, 50849, 70760, 51674, 50862, 51934, 50854, 53324, 51103, 52205, 50943, 51762, 50876, 51819, 50446, 51850, 50812, 51986, 53632, 50883, 50965, 65656, 52943, 51364, 51567, 51218, 51256, 50810, 51674, 50809, 51934, 50864, 52292, 50943, 52342, 50943, 51762, 50876, 53265, 50458, 52550, 50925, 55708, 50806, 53296, 50943, 52443, 50943, 52553, 52639, 52943, 51356, 51567, 51127, 51256, 50857, 51674, 50862, 51934, 50857, 54769, 50943, 53324, 50943, 51762, 76160, 50434, 50964, 59872, 53294, 51366, 50886, 51209, 50862, 51334, 50854, 53029, 50943, 52740, 50943, 51762, 56594, 54200, 55551, 50816, 58501, 50816, 52396, 51366, 50810, 51209, 50809, 51334, 50864, 55342, 50943, 52049, 50943, 54074, 57208, 51326, 56637, 51728, 52082, 50818, 54516, 51454, 51859, 51353, 52317, 51353, 53146, 51353, 51256, 51025, 51408, 51025, 51934, 51109, 52443, 51255, 53634, 51400, 52342, 51400, 51706, 51991, 75118, 51308, 50889, 51777, 50889, 52553, 57900, 53150, 51186, 51454, 51256, 51203, 51408, 51203, 51934, 51203, 52443, 51255, 53634, 51255, 52342, 51400, 75118, 51308, 50889, 51777, 63611, 52538, 70005, 56565, 51850, 50840, 51783, 52411, 50883, 50871, 53379, 50438, 51186, 51566, 55287, 50911, 52170, 50911, 52037, 50911, 51256, 51203, 51408, 51203, 51934, 51203, 52443, 51178, 53634, 51221, 52342, 51221, 75118, 51308, 50889, 51777, 50889, 51762, 51028, 77972, 51819, 50446, 53085, 50887, 51567, 50887, 52184, 53579, 71360, 69680, 50319, 53379, 50450, 51186, 51192, 55287, 50882, 52170, 50882, 52037, 50882, 51256, 51203, 51408, 51203, 51934, 51043, 52443, 51221, 53634, 51377, 52342, 51221, 75118, 51308, 50889, 51777, 63611, 52538, 70005, 50820, 51028, 51998, 50931, 51998, 50458, 72096, 53085, 51054, 51567, 51054, 52184, 51054, 52746, 50910, 50876, 53490, 50319, 52254, 52354, 51735, 51859, 51151, 52977, 51151, 51829, 51151, 51256, 51203, 51674, 51203, 51334, 51203, 53324, 51178, 51975, 51221, 52342, 51221, 51876, 51264, 75118, 51512, 50889, 51153, 50889, 52553, 52639, 50945, 51566, 53085, 50936, 51567, 50936, 52184, 50936, 51256, 51203, 51674, 51203, 51334, 51203, 53324, 51221, 51975, 51377, 52342, 51221, 75118, 51512, 50889, 51153, 63611, 52538, 70005, 67128, 74139, 50319, 55055, 50434, 53016, 50840, 51722, 50840, 52170, 52411, 50883, 50906, 69680, 50317, 53379, 53357, 51055, 53085 ]
[ 0, 250, 15352, 30054, 8, 19448, 15855, 15229, 19, 10, 2842, 9, 3495, 6, 278, 11, 5, 762, 9, 274, 538, 8, 1375, 23, 10, 7212, 20889, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 25306, 5466, 6, 21881, 8597, 149, 63, 3222, 5785, 9, 211, 119, 406, 6, 3676, 6, 8, 272, 401, 40286, 4, 20, 2125, 23645, 10, 13428, 14, 18, 6097, 9, 10, 455, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51085, 58468, 59409, 61653, 50916, 64971, 50877, 78198, 51809, 51214, 63160, 50435, 50902, 68085, 50899, 68085, 50906, 50359, 50408, 50871, 63309, 60212, 51085, 64880, 50443, 50876, 68085, 67964, 64880, 50916, 68085, 50796, 50433, 51214, 65278, 50451, 50902, 75222, 50452, 50906, 77092, 50871, 68303, 50899, 50359, 50402, 61627, 51062, 51445, 50439, 51085, 54691, 50457, 50876, 60150, 50458, 50877, 69895, 50916, 57968, 50796, 50440, 51146, 52168, 51214, 54088, 50457, 51062, 51318, 50458, 50902, 50361, 50831, 50314, 60667, 50309, 71133, 50899, 60243, 60212, 51081, 51318, 50440, 50999, 52263, 50441, 51085, 54887, 50456, 51081, 52519, 50877, 50362, 50842, 50308, 50362, 50842, 50316, 55811, 57731, 51062, 51283, 50439, 51214, 65691, 50323, 52528, 50456, 50902, 63546, 50314, 63667, 50871, 50359, 50402, 50899, 59170, 61627, 51062, 51293, 50439, 51085, 54071, 50455, 50876, 55197, 50916, 56374, 50877, 52618, 50796, 50437, 51146, 64488, 51214, 52782, 50454, 51062, 51295, 50902, 58556, 50309, 60243, 50906, 58556, 50306, 56869, 52591, 51081, 51295, 50435, 50999, 52263, 50436, 51085, 58961, 50450, 51081, 52136, 50451, 50876, 60326, 50877, 50359, 50831, 50308, 57968, 52177, 51062, 51679, 50432, 51081, 52263, 51214, 55811, 50449, 50931, 55776, 63932, 50360, 50400, 50899, 63667, 50871, 71133, 50906, 57968, 61627, 51085, 55776, 50454, 50876, 55776, 50877, 55776, 50916, 64971, 50796, 50443, 51214, 55776, 50460, 50902, 55002, 50906, 60243, 50871, 58556, 50306, 56869, 50796, 50448, 51339, 53259, 50449, 51247, 51166, 52478, 50931, 52140, 50902, 53674, 50877, 53280, 50871, 55812, 50451, 51081, 51218, 50452, 51247, 52731, 52478, 50902, 51852, 50899, 55036, 50314, 53957, 51062, 51204, 50871, 52011, 50433, 51146, 51295, 50447, 51062, 51151, 50448, 51247, 52782, 54960, 54590, 50307, 58898, 50965, 56374, 50444, 50931, 52727, 50445, 51234, 52946, 50461, 50876, 60667, 50312, 63532, 50956, 69065, 50304, 60326, 50796, 50442, 51081, 56004, 50443, 51234, 54887, 50460, 50906, 60243, 50861, 63667, 50899, 57032, 50796, 50441, 51234, 52782, 50458, 51147, 55002, 50965, 65748, 50906, 72464, 50956, 53490, 50304, 54146, 59412, 50951, 52256, 50440, 51081, 58651, 50441, 51234, 54071, 50456, 50906, 56869, 50457, 50861, 74478, 50899, 74478, 50796, 50437, 51234, 52179, 50452, 51062, 51637, 50906, 78407, 50876, 72464, 50861, 65748, 50453, 50956, 57941, 52591, 51405, 51381, 50433, 51146, 51448, 50434, 51234, 52167, 50448, 51062, 51310, 50902, 50362, 50842, 50312, 55584, 50449, 50871, 53024, 51601, 51081, 51381, 50431, 51062, 51445, 52046, 53313, 50448, 50876, 56308, 50956, 69066, 50449, 50861, 53313, 50796, 50433, 51214, 53306, 50434, 51081, 62321, 50454, 50902, 63070, 50906, 59821, 50871, 65988, 50899, 55177, 50796, 50449, 51085, 59170, 53069, 50861, 63510, 58060, 53055, 50956, 71133, 50453, 51214, 51697, 57731, 50902, 57032, 50906, 50361, 50831, 50309, 50361, 50814, 50306, 55765, 50458, 51339, 51264, 50459, 51247, 51174, 79254, 50931, 51775, 50965, 51961, 50876, 51330, 50459, 51399, 51189, 50460, 51247, 51470, 55746, 51062, 51204, 50906, 53186, 50321, 51680, 50871, 51862, 51028, 51862, 50440, 51081, 51204, 50455, 51062, 51307, 50456, 51247, 52731, 57731, 51001, 51680, 50876, 52482, 50956, 55002, 50861, 52011, 50454, 51081, 52644, 50455, 51234, 51387, 56020, 50906, 73336, 53674, 50899, 54228, 50452, 51234, 51210, 52591, 51147, 51749, 50906, 63532, 50965, 55016, 50304, 61887, 50956, 60243, 50436, 50951, 67647, 51081, 51748, 50451, 51234, 54071, 52478, 50906, 55765, 50861, 56869, 50419, 50899, 56869, 50447, 50951, 62321, 50448, 51234, 54088, 51809, 50956, 66924, 50906, 50359, 50831, 50316, 69065, 50311, 63667, 50444, 51234, 52179, 62856, 53577, 51028, 54146, 50415, 50965, 50362, 50842, 50309, 52462, 50430, 51399, 53577, 50448, 51405, 52503, 52046, 54386, 53069, 50876, 59821, 50956, 69065, 50311, 59821, 50450, 51081, 50363, 50410, 50451, 51214, 55811, 56020, 50902, 77263, 50906, 72057, 50871, 50359, 50402, 50899, 68303, 50456, 51085, 56515, 55746, 50876, 61653, 50877, 61017, 50916, 64880, 52177, 51214, 54521, 50435, 50902, 61124, 50906, 58898, 50871, 58556, 50306, 63160, 57731, 51062, 51445, 51085, 54887, 74933, 54298, 50916, 58556, 50313, 54088, 52591, 51081, 51283, 51214, 51524, 50435, 51062, 51115, 50902, 77429, 50314, 53693, 50309, 65748, 50899, 54386, 50450, 51146, 51391, 51601, 50999, 52519, 50416, 51085, 52946, 50429, 51081, 52519, 50430, 50876, 52101, 50916, 54386, 50431, 50877, 55811, 50445, 51062, 52441, 50460, 50951, 54829, 50461, 51214, 54887, 75695, 50902, 50360, 50400, 50429, 50906, 63070, 50871, 69065, 50306, 65254, 50458, 51062, 51243, 51085, 55811, 59412, 50876, 55789, 50877, 58556, 50308, 57968, 50453, 51081, 51637, 50454, 51214, 52179, 53069, 51062, 51218, 58973, 63684, 50314, 58961, 50421, 50899, 50359, 50399, 50871, 55765, 50434, 51146, 51134, 50448, 50999, 51637, 50449, 51085, 55811, 51601, 51081, 51965, 50416, 50876, 64240, 50313, 58961, 50916, 78407, 50430, 51062, 51679, 50445, 51214, 54088, 51081, 52519, 56229, 54573, 75456, 74139, 50314, 72464, 50871, 69065, 50306, 74478, 50449, 51085, 58898, 52478, 50876, 65278, 50877, 65278, 50916, 77263, 50452, 51214, 58961, 52591, 50902, 71133, 50421, 50906, 63806, 50871, 50360, 50842, 50306, 63069, 50454, 51339, 51359, 51247, 54861, 60212, 50931, 53486, 50902, 58961, 50877, 63532, 50871, 68886, 50453, 51081, 51115, 50454, 51247, 51269, 52591, 51062, 51241, 50902, 58961, 50906, 58090, 50421, 50899, 72057, 50871, 55197, 50434, 51146, 51310, 50449, 51062, 51293, 51247, 52731, 52177, 50876, 53957, 50956, 55002, 50965, 54228, 50448, 50931, 51243, 51234, 51824, 52177, 50876, 53957, 50965, 52441, 50956, 58898, 50900, 54211, 50446, 51081, 51353, 50447, 51234, 51166, 54594, 53164, 50314, 52048, 50899, 52011, 50442, 51062, 51353, 51234, 53010, 50458, 50876, 57800, 50312, 54848, 50459, 50956, 60667, 50304, 52618, 50796, 50440, 50951, 52337, 50441, 51234, 51737, 50456, 50906, 54590, 50311, 59170, 50899, 56374, 50796, 50437, 51234, 52179, 50453, 50906, 63532, 50861, 61887, 50956, 63667, 50900, 60243, 50796, 50435, 51234, 52946, 50452, 50906, 69066, 50965, 56869, 50453, 50956, 50359, 50402, 50900, 60243, 50796, 50435, 51234, 53024, 50453, 50906, 69066, 50899, 50361, 50831, 50311, 54386, 56020, 51081, 55002, 50442, 51405, 55275, 52046, 53024, 54960, 74553, 50956, 50359, 50402, 50861, 50359, 50399, 50443, 51146, 61887, 51214, 65330, 51809, 51081, 68085, 50902, 69065, 50321, 59125, 50417, 50906, 75306, 50309, 67852, 50899, 55084, 51601, 51085, 62609, 50433, 50876, 56308, 50956, 74553, 50861, 65825, 53069, 51214, 60150, 50436, 50906, 55044, 50902, 76395, 50871, 56308, 50899, 50359, 50402, 56020, 51085, 58306, 50440, 50876, 63309, 50956, 50360, 50408, 50861, 68085, 50796, 50435, 51247, 63872, 52177, 50876, 75222, 50871, 71133, 50877, 56869, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 11057, 8, 3495, 24904, 1619, 2214, 4246, 10, 326, 5638, 18026, 483, 7513, 30, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 7630, 14805, 10, 32076, 8, 31214, 6711, 19, 63, 15352, 30054, 2301, 6, 278, 11, 10, 23667, 132, 73, 176, 86, 6543, 23, 25664, 13410, 228, 2289, 11, 5, 762, 9, 230, 10431, 538, 6, 24826, 198, 5, 40286, 274, 10431, 6, 272, 37152, 6, 8, 230, 10431, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 50450, 52061, 50866, 52314, 50866, 52178, 62839, 51665, 50319, 51665, 50322, 50866, 59298, 51709, 50801, 51534, 51206, 78346, 51378, 51277, 50421, 52061, 51283, 52314, 51283, 52178, 51283, 50906, 51283, 51001, 51283, 51114, 51283, 50423, 50997, 76280, 80191, 56800, 51068, 70946, 51012, 50427, 51705, 51337, 50438, 51744, 50838, 52336, 50838, 54006, 66982, 57292, 58903, 58253, 79258, 50997, 51627, 50916, 52263, 50906, 51878, 50902, 51535, 50951, 51535, 51705, 51108, 50445, 52061, 50838, 52314, 50838, 52178, 66982, 57292, 58903, 52985, 51868, 51481, 51068, 51203, 50856, 50911, 50457, 51744, 50838, 52314, 50838, 52377, 66982, 61418, 60778, 70529, 51705, 50874, 51755, 51534, 50856, 50911, 50415, 51324, 51277, 51668, 51108, 50421, 51641, 50838, 52314, 50838, 52377, 66982, 61418, 64079, 56909, 50956, 76280, 52098, 50315, 56800, 51705, 51481, 51068, 69238, 50923, 50433, 51485, 51283, 52314, 51283, 52148, 51283, 50989, 51283, 50876, 51283, 50999, 51283, 50434, 51668, 54123, 50856, 69018, 50989, 51233, 51114, 51337, 51220, 51233, 51146, 51233, 50973, 51534, 51273, 51108, 50440, 50900, 75926, 51744, 50838, 52067, 50838, 52194, 55512, 71695, 50825, 51114, 50838, 51216, 51481, 51068, 51124, 50856, 50923, 50457, 52061, 50838, 52314, 50838, 52178, 57292, 60778, 67646, 70529, 51273, 50874, 59298, 51709, 50801, 51534, 50856, 51012, 50415, 51378, 51277, 50421, 52061, 50838, 52314, 50838, 52178, 57292, 60778, 67646, 56909, 50997, 76280, 80191, 56800, 51068, 64835, 79847, 51705, 51337, 50433, 51723, 50838, 52061, 50838, 51968, 60420, 57292, 58902, 52718, 52061, 50838, 51744, 50838, 51866, 55332, 58902, 58903, 50838, 51216, 51709, 50856, 50923, 50439, 51026, 51627, 51040, 52263, 50861, 51878, 50973, 51535, 50968, 51535, 50445, 51898, 50838, 52061, 50838, 52384, 62215, 56943, 58902, 52985, 52061, 50838, 51744, 50838, 51866, 55332, 58902, 58903, 64641, 57594, 75477, 51216, 51337, 50457, 51898, 50838, 52061, 50838, 52384, 62215, 56943, 58902, 50838, 50799, 52298, 50838, 51641, 50838, 52698, 66982, 61418, 60778, 50838, 51522, 51277, 50801, 50901, 51206, 58197, 51086, 51124, 50965, 51124, 51001, 51124, 50421, 52298, 50838, 52061, 50838, 51702, 57712, 61418, 58902, 50838, 50424, 55366, 52917, 51868, 66013, 51086, 57911, 59703, 68503, 50937, 50433, 52298, 51680, 52061, 51680, 51702, 51680, 50871, 51080, 50973, 51080, 51028, 51080, 50436, 52318, 53018, 51868, 51709, 50439, 51360, 51277, 50447, 51086, 71125, 71901, 80191, 50917, 50451, 51868, 51337, 50457, 50877, 57292, 57777, 56517, 50801, 73497, 51090, 58066, 50912, 50989, 61418, 60778, 50838, 51668, 51749, 50415, 50956, 52386, 50315, 73122, 50989, 61418, 60778, 52688, 50973, 54731, 50291, 51123, 50956, 50369, 51597, 51124, 50856, 74439, 50989, 51680, 50973, 51680, 51001, 51680, 50438, 51324, 52666, 50307, 52666, 50315, 70029, 50901, 50439, 51705, 51627, 50449, 51324, 52989, 51641, 50838, 52314, 50838, 52377, 61418, 78284, 63739, 51255, 50856, 50806, 50457, 52298, 50838, 51641, 50838, 52698, 50838, 58066, 51524, 50801, 52460, 50856, 67381, 50877, 52666, 50307, 50984, 51668, 51397, 50421, 50973, 51283, 51114, 51283, 50999, 75850, 51324, 65162, 51542, 50856, 50806, 50427, 57472, 50956, 51142, 50435, 52659, 52896, 50876, 67646, 60472, 58253, 66972, 51085, 51051, 57634, 50956, 51006, 51150, 51417, 50445, 50876, 67646, 65505, 57060, 51085, 53140, 50877, 60778, 67646, 64641, 51172, 50856, 64847, 50956, 58887, 71248, 50989, 55512, 60778, 56517, 53636, 59130, 52666, 50305, 50984, 50989, 57292, 58902, 50838, 51705, 51749, 50801, 51852, 50856, 50901, 50415, 50906, 73122, 50989, 57292, 58902, 52688, 51378, 52666, 50305, 50370, 51822, 51333, 50856, 50893, 50427, 50906, 71598, 50989, 51680, 50906, 51680, 51028, 51680, 50438, 51378, 53529, 50314, 62625, 51333, 50856, 50974, 50439, 75039, 51868, 51627, 50449, 51378, 71940, 51723, 50838, 51641, 50838, 52698, 77955, 50984, 50906, 78627, 51172, 50856, 74949, 51723, 50838, 51641, 50838, 52698, 50838, 59130, 51252, 51040, 50366, 51015, 52025, 50856, 68381, 50906, 51126, 51705, 51417, 50421, 50906, 51283, 51001, 51283, 51114, 75850, 51378, 75382, 66560, 61156, 75039, 50906, 56006, 50989, 57292, 60778, 50838, 51705, 71219, 52034, 50856, 66326, 51378, 51051, 57634, 50956, 51006, 50445, 50956, 66982, 58902, 57060, 51378, 53140, 50989, 55512, 60778, 64641, 51645, 50856, 64380, 50956, 58887, 71248, 50989, 55512, 57777, 70529, 51705, 57490, 50856, 50912, 57497, 50912, 50871, 61418, 58902, 50838, 51868, 51448, 50801, 51333, 50856, 50859, 65882, 52386, 50315, 73122, 50871, 61418, 58902, 52688, 50973, 54731, 50293, 51123, 50871, 50369, 51597, 51412, 50856, 50911, 50433, 50871, 51080, 50973, 51080, 51028, 51080, 50434, 52318, 52742, 51360, 75770, 52666, 50315, 51000, 53033, 70353, 51108, 50856, 78668, 51509, 50838, 52264, 50838, 53084, 65390, 51360, 52989, 50973, 64470, 63739, 70946, 61393, 50871, 61418, 58902, 50838, 60294, 67487, 50932, 50856, 50806, 65882, 51121, 50965, 51121, 50973, 51121, 51028, 51121, 50421, 50871, 61418, 58902, 52688, 50916, 57292, 55512, 61459, 51172, 51150, 51203, 51068, 66560, 63220, 50916, 51642, 50906, 51797, 50433, 50871, 61418, 58902, 50838, 55957, 53614, 50956, 59316, 61418, 55056, 51108, 50856, 79258, 51360, 51051, 66737, 50871, 51006, 51868, 51417, 50447, 51360, 53140, 51086, 57712, 57292, 64641, 51363, 50856, 50911, 73867, 64535, 71248, 50997, 51283, 50956, 51283, 50989, 51283, 59130, 50912, 51705, 51749, 50801, 51330, 50856, 50911, 50415, 51040, 78176, 54317, 50906, 54731, 50298, 51123, 51040, 50369, 51597, 70946, 64338, 50997, 60420, 66982, 50838, 55957, 52788, 51378, 52666, 50305, 52666, 50314, 59874, 51330, 50856, 50893, 50439, 51868, 51627, 50445, 51086, 57712, 59316, 65390, 51378, 52989, 50906, 51954, 50305, 50907, 51040, 66982, 57292, 64641, 66560, 50806, 50457, 50956, 57292, 58902, 50838, 59130, 51252, 51040, 51269, 50906, 60778, 67646, 50838, 51705, 71219, 51330, 50856, 50911, 50415, 50906, 51126, 50421, 50906, 60778, 67646, 52688, 51378, 75382, 66560, 79066, 75039, 71532, 50433, 50906, 51080, 51028, 51080, 50968, 51080, 50434, 51705, 54077, 51705, 70401, 51108, 50856, 50893, 50439, 51378, 51051, 63156, 50916, 51006, 50446, 51868, 54043, 51378, 53140, 51068, 66560, 64380, 50916, 63422, 50845, 53262, 51121, 50457, 50877, 57292, 57777, 56517, 50856, 51123, 58066, 52666, 50307, 50984, 50989, 61418, 60778, 50838, 51668, 51448, 50801, 50932, 50856, 73181, 50973, 73122, 50989, 61418, 60778, 52688, 51324, 52666, 50307, 50370, 51822, 78145, 79847, 50973, 71598, 50989, 51680, 50973, 51680, 51001, 51680, 50434, 52659, 52742, 51324, 53529, 50315, 51128, 53262, 70353, 51330, 50856, 79258, 71152, 50449, 51324, 71940, 51641, 50838, 52314, 50838, 52377, 60420, 50984, 50973, 78627, 70946, 72727, 52298, 50838, 51641, 50838, 52698, 56517, 53636, 58066, 51524, 51668, 71219, 51330, 50856, 70927, 50877, 52666, 50307, 50984, 50421, 50973, 51283, 51114, 51283, 50999, 75850, 51324, 65162, 66560, 50923, 50427, 57472, 50956, 51142, 50434, 51668, 54077, 50876, 67646, 60472, 55056, 51108, 50856, 79258, 51085, 51051, 57634, 50956, 51006, 51150, 51397, 50445, 50876, 67646, 65505, 57060, 51085, 53140, 50877, 60778, 67646, 64641, 51255, 50856, 50923, 50451, 50956, 58887 ]
[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 10563, 6, 4246, 10, 11739, 9, 13305, 6, 6755, 12547, 6, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 15352, 30054, 15229, 16, 1490, 198, 10, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 3676, 6, 8, 274, 6, 2351, 41, 11653, 8, 2365, 12, 6928, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51743, 51196, 51863, 51196, 51838, 60655, 51615, 51274, 51711, 51274, 52225, 51274, 50456, 51838, 54863, 52225, 50821, 50799, 51656, 51469, 51838, 51469, 52036, 51469, 50799, 53181, 51196, 51863, 51196, 51838, 51196, 52036, 60655, 52133, 51274, 51711, 51274, 52225, 51274, 52137, 51274, 50456, 52036, 54863, 52137, 50821, 50799, 51881, 51469, 51838, 51469, 52036, 51469, 52430, 69097, 51632, 52247, 51875, 52309, 52241, 52322, 53749, 52692, 52241, 52610, 51875, 52931, 78385, 78855, 50896, 51390, 51196, 51743, 51196, 52255, 51196, 51838, 63492, 52576, 53585, 52241, 50806, 51924, 50896, 51615, 51196, 51711, 51196, 52225, 67114, 52241, 54526, 51893, 57024, 52607, 50806, 50799, 52607, 50896, 51390, 50896, 51656, 51469, 51838, 51469, 52036, 51469, 50426, 52607, 50896, 51229, 53585, 52607, 52692, 52607, 52610, 52607, 52931, 52241, 50806, 55669, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 50806, 51863, 51196, 51838, 51196, 52036, 51196, 55207, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 50806, 51302, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 52309, 50804, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 52322, 50804, 50806, 52241, 75160, 73878, 51334, 50806, 51711, 51274, 52225, 51274, 52137, 51274, 54141, 50806, 52241, 75160, 73878, 51334, 50806, 51382, 50806, 52241, 75160, 73878, 51334, 52931, 50804, 61200, 52241, 75160, 73878, 51334, 50806, 51711, 50806, 52225, 50806, 52137, 50806, 64908, 55706, 66028, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 51743, 52149, 51656, 52149, 51711, 52149, 72434, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51632, 52322, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 64908, 55706, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 72434, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51632, 52322, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 51516, 63837, 62219, 62656, 50806, 72434, 51578, 63837, 51196, 50931, 51196, 50999, 51196, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51632, 52322, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 51516, 63837, 62219, 62656, 50806, 72434, 51578, 68638, 71064, 51958, 50325, 50896, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 78385, 51435, 51343, 50877, 51274, 50876, 51274, 50931, 72328, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 51507, 51274, 51322, 50981, 51256, 50981, 51229, 50981, 51881, 51307, 51516, 63837, 62219, 62656, 50806, 72434, 51578, 68550, 51196, 50931, 51196, 50999, 51196, 51302, 53374, 51322, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51507, 52322, 51848, 55706, 50806, 51507, 50806, 51322, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51507, 50896, 51322, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 51507, 50806, 51322, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 52576, 51274, 51322, 50981, 51256, 50981, 51408, 50981, 51863, 51307, 51948, 68550, 63037, 70622, 50806, 72434, 51578, 52530, 50318, 71064, 51958, 50325, 50896, 51302, 53374, 51322, 50981, 51256, 50981, 51408, 57547, 51848, 53374, 52576, 50806, 51435, 51343, 50906, 51274, 50902, 51274, 50931, 72328, 51848, 55706, 50806, 52576, 50806, 51322, 50892, 51256, 50892, 51408, 50892, 51180, 50806, 52576, 50896, 51322, 50981, 51256, 50981, 51408, 50981, 51382, 55706, 50806, 51435, 50893, 51453, 50806, 52576, 50806, 51322, 50892, 51256, 50892, 51408, 50892, 51435, 50893, 64908, 55706, 50806, 51875, 51274, 51366, 50981, 51229, 50981, 51334, 50981, 51656, 51307, 51578, 63837, 62219, 65332, 50806, 72434, 51578, 63837, 62219, 65332, 50806, 51302, 53374, 51366, 50981, 51229, 50981, 51334, 50981, 51578, 63837, 62219, 65332, 52309, 51848, 53374, 51875, 50806, 51578, 63837, 62219, 65332, 52322, 51848, 55706, 50806, 51875, 75160, 51310, 51229, 51310, 51334, 51310, 51578, 68638, 77079, 51958, 50325, 50896, 51180, 50806, 51875, 50896, 51382, 55706, 50806, 51516, 63837, 62219, 62656, 50806, 51453, 50806, 51875, 75160, 50892, 51229, 50892, 51334, 50892, 52070, 74694, 62571, 51958, 50322, 50896, 64908, 55706, 50806, 52607, 51274, 51547, 50981, 51229, 50981, 51390, 50981, 51838, 51307, 72434, 52070, 51343, 50877, 51274, 50902, 51274, 51114, 51274, 51302, 53374, 51547, 50892, 51229, 50892, 51390, 54100, 51848, 53374, 52607, 50806, 51547, 50981, 51229, 50981, 51390, 56692, 51848, 55706, 50806, 52607, 50806, 51516, 68638, 77079, 76110, 50896, 51180, 50806, 52607, 50896, 51547, 50981, 51229, 50981, 51390, 50981, 51382, 55706, 50806, 51578, 68550, 68053, 65332, 50806, 51453, 61200, 52607, 50806, 51547, 50892, 51229, 50892, 51390, 50892, 51516, 51343, 50906, 58404, 62656, 50896, 64908, 78260, 66028, 50806, 71790, 51209, 50857, 51408, 50857, 51390, 60334, 58404, 50806, 51039, 61505, 66918, 50972, 51544, 61505, 66918, 55378, 51848, 51685, 50791, 50806, 71790, 52036, 60597, 60946, 50901, 51570, 61505, 66918, 50972, 51180, 50806, 51711, 60597, 66918, 50972, 52320, 61505, 60946, 55670, 51848, 51575, 61200, 51507, 50806, 52036, 58801, 66918, 50972, 64908, 53374, 51875, 50802, 52033, 51103, 51656, 51103, 51711, 51103, 50877, 58000, 50901, 51039, 57442, 63257, 50972, 51544, 57442, 63257, 55378, 51848, 53374, 51875, 57650, 58000, 50901, 51570, 50806, 51119, 65481, 63257, 50972, 51180, 50806, 51099, 65481, 63257, 55437, 51848, 53374, 51875, 50896, 51144, 65481, 58000, 50901, 51453, 61200, 51144, 74694, 63257, 50972, 64908, 53374, 51598, 58503, 60946, 50901, 72434, 51099, 50858, 50906, 66918, 60147, 72548, 51544, 50806, 51706, 51356, 51198, 51356, 50906, 66918, 55378, 51848, 53374, 51598, 58503, 60946, 50901, 51570, 50806, 52036, 58801, 66918, 50972, 51180, 50806, 51711, 60597, 66918, 50972, 52320, 61505, 60946, 55670, 51848, 51575, 61200, 52607, 50806, 52036, 58801, 66918, 50972, 64908, 53374, 51875, 50802, 51656, 51103, 51711, 51103, 52225, 51103, 50877, 58000, 50901, 51039, 57442, 63257, 50972, 51544, 50806, 51578, 74694, 63257, 55378, 51848, 53374, 51875, 57650, 58000, 50901, 51570, 50806, 51435, 74694, 63257, 50972, 51180, 57442, 63257, 50972, 52320, 50806, 51275, 74694, 60559, 59827, 51848, 51575, 61200, 64908, 55706, 66028, 50806, 52576, 50896, 51256, 50981 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 21979, 8, 3459, 29589, 6, 3459, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 42, 2125, 29769, 198, 5, 762, 9, 83, 538, 6, 19, 5, 40286, 381, 406, 8, 83, 19983, 1328, 5, 2214, 6, 2351, 10, 33558, 8, 17627, 17274, 5466, 14, 18, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 62193, 54718, 51688, 50911, 50424, 51404, 50834, 51323, 52905, 50868, 51160, 50946, 51160, 51017, 51427, 50847, 51235, 50436, 50946, 64353, 60709, 61520, 51724, 51171, 65389, 51188, 50820, 51823, 53044, 51171, 53794, 50885, 51227, 50848, 51227, 50944, 51500, 50946, 51500, 50454, 51188, 50820, 51823, 50846, 62193, 54718, 51688, 50806, 50424, 51404, 50829, 51323, 52905, 51017, 51160, 50847, 51160, 50946, 51160, 50868, 51160, 50436, 51017, 55729, 61128, 61520, 51724, 51171, 63773, 51188, 50820, 51823, 52878, 51171, 54230, 50848, 50980, 50944, 51500, 50946, 51227, 50885, 51500, 50454, 51188, 50834, 51823, 50841, 50799, 51366, 51059, 51688, 53113, 51688, 52247, 50946, 51235, 51017, 51427, 50847, 51235, 50868, 51427, 50430, 52733, 52810, 52812, 50882, 50436, 52733, 65596, 55729, 61128, 61520, 54362, 52812, 50811, 51171, 63773, 51200, 50839, 51404, 53162, 51171, 54230, 50944, 51500, 50946, 51227, 50848, 78451, 50980, 50454, 51200, 50839, 51453, 60203, 50852, 64601, 50852, 50895, 53028, 50895, 51366, 51059, 51688, 54718, 51688, 56346, 50868, 65057, 68941, 77742, 51054, 50430, 52733, 54215, 52812, 50882, 50436, 52733, 53040, 52812, 58715, 51077, 51171, 51127, 50944, 51196, 50946, 51336, 50848, 51336, 50799, 52372, 50821, 51688, 74871, 52372, 55180, 52372, 50859, 51688, 50911, 50424, 52372, 50880, 51404, 50829, 51323, 52870, 53179, 75708, 51160, 51017, 51160, 50847, 51235, 50868, 51235, 50430, 53179, 54937, 53179, 66766, 53179, 50880, 50946, 60709, 54190, 71204, 54773, 52113, 50821, 51171, 63773, 52113, 50890, 51188, 50834, 51823, 53044, 52113, 50859, 51171, 50849, 50448, 52113, 55268, 51633, 76767, 51500, 50946, 78451, 50980, 50848, 51500, 50454, 51633, 50890, 51188, 50834, 51823, 53173, 51633, 70132, 51633, 50890, 50799, 52226, 50800, 51688, 50821, 50418, 52226, 54658, 52226, 50858, 51688, 50911, 50424, 52226, 50890, 51404, 50835, 51323, 52870, 52135, 73696, 51235, 51017, 51427, 50868, 51160, 50847, 51160, 50430, 52135, 54334, 52135, 67066, 52135, 76331, 54190, 71204, 55729, 54773, 51667, 50859, 51171, 63773, 52522, 50809, 51188, 50834, 51823, 53041, 51667, 50859, 51171, 50805, 50448, 52522, 55268, 51667, 73696, 51227, 50944, 51500, 50885, 51227, 50848, 51500, 50454, 52522, 50890, 51188, 50820, 51823, 52738, 51667, 66330, 52522, 50887, 50799, 52135, 50921, 51366, 51573, 51688, 53113, 51667, 51215, 51688, 56346, 50946, 51160, 51017, 51427, 50868, 51160, 50847, 51235, 50430, 52733, 52810, 52812, 66554, 52733, 50834, 58797, 51017, 54190, 61128, 54773, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 52986, 51171, 52596, 50848, 51227, 50946, 51227, 50885, 50980, 50944, 50980, 50454, 51200, 50834, 51453, 58892, 50852, 65493, 50852, 50884, 53028, 50818, 51366, 51573, 51688, 54718, 51688, 52247, 50946, 51427, 51017, 51160, 50868, 51427, 50847, 51235, 50430, 52733, 52810, 52834, 50908, 52812, 60661, 52834, 68210, 52834, 50835, 52733, 60576, 61128, 71204, 61520, 51724, 51069, 50918, 52834, 50839, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 50375, 52438, 53325, 51171, 65052, 53867, 52725, 53867, 50846, 50946, 51500, 50848, 51227, 50885, 50980, 50944, 50980, 50454, 51200, 50820, 53285, 50910, 52372, 53558, 51130, 56804, 50834, 51688, 50821, 50418, 52372, 55180, 51069, 51112, 52372, 53841, 51139, 50835, 51688, 50911, 50424, 52372, 50880, 51404, 50835, 51323, 53855, 53179, 52153, 64678, 50820, 51017, 51160, 50868, 51427, 50847, 51235, 50946, 51160, 50430, 53179, 54937, 70507, 53179, 50858, 75596, 51938, 52438, 59131, 53179, 50880, 50946, 64353, 55729, 54190, 51724, 72586, 52113, 52189, 63856, 50820, 51171, 65389, 52113, 50890, 51188, 50820, 51823, 53044, 50927, 51116, 52113, 53841, 51041, 50825, 51171, 50805, 50448, 52113, 54755, 51633, 52153, 56804, 67510, 51227, 50848, 78451, 50980, 50944, 51500, 50453, 50927, 53971, 67641, 51633, 50880, 51188, 50820, 51823, 52881, 66494, 51633, 55879, 61698, 51633, 50890, 53285, 50840, 52226, 53841, 51130, 63856, 50820, 51688, 50821, 50418, 52226, 54658, 51069, 51112, 52226, 53558, 51392, 50829, 51688, 50911, 50424, 52226, 50890, 51404, 50829, 51323, 52905, 52135, 52153, 64678, 65289, 51427, 51017, 51160, 50946, 51235, 50847, 51235, 50430, 52135, 54937, 76100, 52135, 50859, 67491, 51935, 52438, 59131, 52135, 50809, 51017, 54190, 75708, 60709, 50859, 53758, 50808, 51667, 52189, 56804, 50834, 51171, 65389, 52522, 50809, 51188, 50834, 51823, 53044, 58773, 51667, 53287, 51041, 50825, 51171, 50805, 50448, 52522, 52555, 51325, 50901, 51667, 52153, 56804, 60660, 50980, 50944, 50980, 50946, 51227, 50885, 51227, 50453, 50801, 62786, 52522, 50809, 51188, 50834, 51823, 52881, 51011, 51058, 51667, 56189, 61698, 52522, 50890, 53534, 50910, 52135, 50940, 51479, 64678, 50834, 51366, 51745, 51688, 54718, 51011, 51235, 51667, 51175, 52321, 50835, 51688, 50893, 51544, 63856, 50820, 51017, 51460, 50946, 51427, 50868, 51427, 50847, 51235, 50429, 51205, 56839, 52733, 52810, 51228, 51582, 50835, 52812, 53660, 51938, 52438, 60591, 52733, 50834, 59385, 51017, 60709, 61520, 50859, 53758, 51420, 64678, 50834, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 52986, 75718, 51897, 50835, 51171, 50849, 52320, 64678, 65968, 51227, 50944, 51603, 50885, 50980, 50848, 51500, 50453, 50927, 53790, 62786, 51200, 52579, 51228, 50937, 56345, 53534, 53345, 51130, 64678, 50820, 51366, 51745, 51688, 55446, 51011, 51112, 52321, 50829, 51688, 50893, 51544, 63856, 62338, 51160, 51017, 51427, 50847, 51160, 50946, 51160, 50430, 52733, 53705, 76100, 52113, 51421, 50835, 52812, 53660, 51938, 52438, 63122, 52733, 58178, 55729, 61128, 71204, 52599, 58883, 52113, 52304, 63856, 50820, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 52616, 65495, 52113, 53672, 51139, 50835, 51171, 53794, 51325, 50901, 52113, 52207, 56804, 73615, 51500, 50885, 50980, 50848, 51227, 50944, 50980, 50453, 50801, 67641, 51200, 52579, 51011, 51058, 52113, 55879, 50846, 53534, 51183, 53179, 51290, 51815, 51127, 51938, 51459, 50820, 51217, 52097, 50420, 51282, 64286, 50949, 50946, 51336, 50426, 52113, 50879, 51089, 51141, 51068, 56921, 65289, 51294, 50432, 52226, 66554, 51633, 57231, 52950, 50953, 51183, 51401, 51077, 52705, 51459, 50820, 50988, 63883, 51083, 64286, 69914, 51413, 50450, 51020, 51218, 51068, 55274, 58178, 51091, 55194, 51183, 52473, 51127, 52705, 51459, 50834, 51506, 51362, 50420, 51282, 64286, 51031, 50946, 51294, 50426, 51268, 51218, 51068, 58250, 63264, 50983, 50436, 50801, 52766, 50945, 51183, 51616, 51103, 51935, 51459, 50834, 51164, 51413, 57040, 53325, 51282, 68113, 50895, 50946, 51294, 50450, 51061, 51191, 51068, 56921, 69263, 51073, 50456, 52113, 50879, 53534, 50845, 53179, 50896, 51815, 51103, 52453, 55274, 73615, 79963, 51011, 50845, 51282, 51218, 52453, 62294, 51291, 50426, 51011, 51003, 52113, 50948, 51089, 51218, 51068, 51239, 59520, 58875, 69467, 52226, 51508, 59131, 51633, 73841, 52600, 73703, 51401, 51077, 52453, 55274, 50820, 50988, 51446, 50442, 50801, 54189, 50953, 50901, 51083, 51189, 52321, 69903, 51241, 50448, 50801, 54044, 50953, 51003, 51020, 51218, 51068, 51044, 63292, 59947, 51235, 50454, 50801, 53650, 69591, 52288, 50901, 51763, 51183, 51479, 55274, 50834, 63843, 59980, 60841, 68743, 61041, 57780, 54193, 66089, 60065, 68162, 55420, 55105 ]
[ 0, 250, 15855, 19834, 15229, 14, 7630, 6568, 10, 1472, 9, 9066, 2821, 16235, 8, 3722, 5581, 6, 4246, 2382, 3459, 8669, 6, 81, 9756, 8669, 6, 6755, 12547, 6, 13305, 6, 8, 769, 196, 6757, 6, 70, 447, 561, 7, 1045, 10, 25306, 5466, 4, 8504, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 2455, 5, 30443, 7, 1950, 4356, 2089, 1090, 1235, 11, 5, 19448, 8, 8728, 34879, 14, 21815, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50432, 51089, 57341, 50795, 58165, 67755, 67755, 50795, 51404, 51646, 51089, 57341, 50795, 58165, 67755, 67755, 50795, 51404, 51918, 51281, 56962, 50807, 56732, 50807, 73199, 66316, 52074, 51798, 51208, 50795, 71006, 51746, 51923, 51385, 73757, 50795, 56266, 50795, 71006, 51488, 50918, 52232, 50918, 56310, 50918, 51040, 71651, 50918, 51028, 50918, 52657, 50918, 60765, 50918, 59089, 50918, 62396, 50918, 69334, 50918, 58165, 50918, 62545, 50918, 51883, 50918, 51794, 50918, 51301, 50918, 51488, 62715, 51208, 50983, 51357, 50983, 51746, 57222, 50973, 51605, 51086, 52045, 50956, 52045, 50989, 52045, 56296, 52045, 62027, 52045, 74287, 52045, 56266, 51605, 70367, 52045, 63017, 52045, 59502, 52045, 51357, 51605, 52065, 52045, 51426, 52045, 51491, 52045, 66243, 51268, 75007, 50795, 59502, 65728, 50800, 51491, 50795, 51823, 52262, 51268, 50800, 51491, 50800, 51823, 51724, 51268, 59625, 50795, 59502, 65728, 65728, 50795, 51823, 51918, 51281, 58750, 50807, 56732, 50807, 66316, 66316, 52074, 53312, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 68663, 50799, 51281, 50807, 51315, 52045, 51086, 52045, 50916, 52045, 50965, 51492, 51817, 52045, 56296, 52045, 59089, 52045, 50671, 50296, 52045, 70367, 52045, 58165, 52045, 56732, 51492, 66316, 52830, 52045, 52065, 52045, 51301, 52045, 51375, 51492, 52074, 52424, 50877, 50918, 54628, 79383, 50918, 57844, 50983, 56266, 50983, 51357, 57345, 57227, 50973, 50795, 56266, 50795, 76631, 71006, 51746, 52262, 57227, 76631, 51746, 51724, 51208, 56190, 58509, 72025, 50918, 62027, 50918, 50684, 50312, 50918, 56266, 50795, 63017, 50918, 56732, 50918, 71006, 71006, 51426, 50918, 51375, 50918, 51746, 51918, 51208, 57981, 50807, 62545, 50807, 71006, 72165, 51746, 51798, 51208, 50795, 71006, 51746, 51923, 51385, 50918, 51001, 50795, 60252, 50795, 67733, 51488, 50918, 52232, 50918, 57346, 71651, 72025, 50918, 50968, 50918, 60765, 50918, 59089, 50918, 50684, 50312, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 55687, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51266, 62715, 51281, 50983, 51375, 50983, 52074, 57222, 51001, 51605, 51176, 52045, 51086, 52045, 50956, 52045, 53926, 52045, 56296, 52045, 62027, 52045, 60252, 51605, 50671, 50300, 52045, 70367, 52045, 63017, 52045, 51395, 51605, 52316, 52045, 52065, 52045, 51426, 52045, 66243, 51281, 56962, 50795, 56732, 50795, 73199, 73199, 52074, 51646, 51281, 56962, 50795, 56732, 50795, 73199, 73199, 52074, 51918, 51023, 57543, 50807, 54628, 50807, 67769, 67769, 51323, 53312, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 68663, 50799, 51385, 75628, 51036, 51040, 51036, 50916, 51036, 51028, 51036, 52657, 51036, 60765, 51036, 59089, 51036, 62396, 51036, 69334, 51036, 58165, 51036, 62545, 51036, 72165, 51883, 51036, 51794, 51036, 51301, 51036, 51488, 51036, 52232, 50807, 57844, 50983, 51324, 71651, 74882, 50918, 51415, 50918, 56266, 50983, 50671, 50291, 50918, 58165, 50918, 59502, 50918, 51357, 50983, 54333, 50918, 51301, 50918, 51491, 62715, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 51746, 51646, 51208, 56190, 68339, 72424, 74882, 50918, 56296, 50918, 56266, 50795, 70367, 50918, 63017, 50918, 59502, 50918, 71006, 71006, 52065, 50918, 51426, 50918, 51491, 50918, 51746, 51918, 51208, 57981, 50807, 62545, 50807, 71006, 72165, 51746, 51798, 51208, 50795, 71006, 51746, 51923, 51385, 50918, 51001, 50795, 60252, 50795, 67733, 51488, 50918, 52232, 50918, 57346, 71651, 72025, 50918, 50968, 50918, 60765, 50918, 59089, 50918, 50684, 50312, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 55687, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51266, 62715, 51208, 50983, 51357, 50983, 51746, 57222, 51001, 51605, 51176, 52045, 51086, 52045, 50956, 52045, 53926, 52045, 56296, 52045, 62027, 52045, 60252, 51605, 50671, 50300, 52045, 70367, 52045, 63017, 52045, 51395, 51605, 52316, 52045, 52065, 52045, 51426, 52045, 66243, 51208, 56962, 50795, 56732, 50795, 73199, 71006, 51746, 51646, 51208, 56962, 50795, 56732, 50795, 73199, 71006, 51746, 51918, 51281, 56036, 50807, 54628, 50807, 51375, 61503, 50807, 52074, 51798, 51208, 50795, 71006, 51746, 51923, 51281, 56190, 50795, 56266, 50795, 73199, 71006, 66954, 50799, 51385, 75628, 71651, 51036, 50877, 51036, 51028, 51036, 52657, 50918, 62396, 50918, 58165, 51036, 54628, 51036, 62545, 51036, 72165, 51883, 50918, 51301, 51036, 78146, 51488, 51036, 52232, 52424, 51378, 50918, 52646, 50918, 50671, 50298, 50918, 53148, 50918, 55524, 50983, 50989, 71052, 50983, 51086, 50918, 56296, 50918, 58165, 50983, 59502, 50983, 56266, 50983, 70367, 50918, 51301, 50983, 51491, 50983, 51357, 50983, 52065, 55834, 51268, 50800, 51491, 50800, 51823, 52765, 51268, 50800, 51491, 50800, 51823, 51628, 51268, 50983, 50989, 50795, 59502, 65728, 65728, 50983, 51823, 57222, 50989, 50991, 51324, 50918, 51415, 50918, 59502, 50991, 50671, 50291, 50918, 51491, 50991, 54333, 56027, 51281, 50991, 51375, 50991, 52074, 65677, 50965, 50991, 56732, 50991, 51375, 59592, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 68663, 50799, 51281, 50991, 50965, 50991, 50916, 50983, 51360, 50918, 51176, 50918, 52022, 50918, 53926, 50918, 56732, 50991, 58165, 50983, 50671, 50293, 50918, 50671, 50300, 50918, 51375, 50991, 51375, 50991, 51301, 50983, 53599, 50918, 52316, 50918, 52074, 64736, 51281, 50991, 50989, 50991, 59502, 50991, 51491, 50991, 51375, 50991, 52074, 61690, 51089, 57341, 50795, 58165, 67755, 67755, 50795, 51404, 51646, 51495, 67858, 50918, 51315, 50918, 51040, 50918, 51011, 50918, 51817, 50918, 50671, 50289, 50918, 50671, 50296, 50918, 69334, 50918, 51794, 50800, 53215, 50918, 52830, 50918, 51794, 50918, 51943, 51820, 51023, 70002, 50991, 54628, 50991, 51113, 50991, 51113, 50983, 51323, 68862, 51281, 62674, 50795, 56732, 50795, 70058, 73199, 52074, 52567, 51268, 50807, 77315, 51823, 50807, 55524, 50918, 51324, 51036, 50989, 51036, 50973, 51036, 51415, 51036, 58165, 50918, 50671, 50291, 51036, 59502, 51036, 56266, 51036, 51301, 50918, 54333, 51036, 51491, 51036, 51357, 51036, 64574, 50918, 63017, 50918, 51426, 50918, 57497, 50918, 51040, 71651, 72025, 50918, 51028, 51036, 52022, 50918, 50671, 50293, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 62545, 51036, 53599, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51488, 76175, 51279, 50918, 51040, 71651, 63831, 50918, 51011, 50918, 50671, 50289, 50918, 69334, 50918, 58165, 50918, 54628, 50918, 53215, 50918, 51794, 50918, 51301, 79383, 50918, 59130, 50918, 51040, 74882, 63831, 50918, 51028, 51036, 52646, 50918, 50671, 50298, 50918, 69334, 50918, 59502, 50918, 54628, 50918, 62545, 51036, 53148, 50918, 51794, 50918, 51491, 79383, 50918, 51488, 76175, 51279, 50918, 51040, 71651, 63831, 50918, 51011, 50918, 50671, 50289, 50918, 69334, 50918, 58165, 50918, 54628, 50918, 53215, 50918, 51794, 50918, 51301, 79383, 50918, 57497, 50918, 51040, 71651, 72025, 50918, 51028, 51036, 52022, 50918, 50671, 50293, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 62545, 51036, 53599, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51488, 76175, 51279, 50918, 51040, 71651, 63831, 50918, 51011, 50918, 50671, 50289, 50918, 69334, 50918, 58165, 50918, 54628, 50918, 53215, 50918, 51794, 50918, 51301, 79383, 50918, 62368, 51036, 51040 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 278, 11, 5, 762, 9, 211, 3694, 8, 702, 23, 10, 7212, 20889, 4, 20, 13305, 3315, 5, 169, 6, 7513, 30, 21072, 6, 6755, 12547, 6, 8, 258, 21979, 8, 81, 9756, 29589, 4, 20, 33215, 16739, 9, 211, 119, 6, 274, 6, 230, 6, 211, 119, 6, 8, 272, 119, 3639, 7, 5, 2214, 18, 19448, 8, 1372, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50458, 50953, 52071, 52690, 51680, 51231, 51277, 51414, 51309, 53159, 51127, 51555, 51183, 51881, 52727, 52137, 51445, 53817, 51922, 51615, 51922, 51863, 60130, 50798, 68680, 51074, 56514, 56517, 50988, 52015, 51809, 51070, 51697, 50422, 51410, 51961, 50848, 59875, 52782, 50428, 50939, 52015, 51553, 51079, 51070, 51697, 50433, 51457, 51391, 53865, 51003, 51612, 51204, 50920, 51079, 51845, 51074, 50439, 50848, 52048, 51925, 51079, 51070, 51737, 50444, 78070, 50445, 51231, 51142, 68898, 51567, 51003, 51070, 63050, 50848, 58483, 50451, 51303, 50364, 51398, 51737, 50455, 53865, 51313, 50456, 51186, 51151, 55285, 51680, 51303, 51412, 51414, 51328, 51612, 51655, 51881, 50360, 50408, 58366, 51449, 51743, 51243, 52036, 51293, 50920, 51074, 50457, 51037, 52222, 57342, 62826, 50937, 51070, 52731, 50420, 53075, 55002, 51070, 54386, 50426, 50939, 51218, 50852, 51166, 51070, 54691, 50432, 52303, 62726, 67484, 58553, 51074, 50436, 50848, 52482, 50437, 51410, 51233, 51240, 50845, 51070, 53313, 50443, 51303, 56144, 51391, 51070, 51166, 50449, 51249, 51058, 50848, 54071, 51170, 50974, 51070, 51166, 50454, 50945, 52151, 53075, 51680, 51303, 50892, 51249, 51309, 53485, 51183, 51567, 51077, 52133, 52335, 51656, 52222, 52430, 52062, 54720, 51243, 51743, 52727, 50920, 51079, 51845, 51387, 56514, 50905, 50455, 51164, 51714, 50460, 51925, 51074, 51070, 53024, 50461, 69865, 52478, 51270, 50838, 51070, 51432, 50419, 50872, 65869, 51303, 55003, 50850, 51397, 51383, 50838, 51070, 51166, 50430, 51476, 51709, 51584, 51095, 50920, 50972, 50431, 53304, 51101, 50435, 50885, 53726, 50436, 51327, 51542, 53159, 50974, 51555, 51233, 51236, 51058, 51070, 54887, 50441, 51303, 51174, 53554, 64986, 51534, 51783, 51003, 51070, 51697, 50447, 51249, 51142, 50847, 51470, 51925, 51074, 51070, 53313, 50452, 53159, 51945, 50453, 50953, 52071, 52690, 51939, 51231, 50874, 51414, 50959, 50988, 51714, 51555, 51991, 51881, 56235, 52137, 55482, 53817, 52204, 50832, 70581, 51079, 50458, 51410, 52168, 51889, 50974, 51070, 51387, 50459, 61763, 51809, 51070, 51387, 50417, 50847, 78893, 51414, 55084, 50939, 51295, 51070, 53024, 50428, 51231, 52034, 51414, 51309, 51981, 51025, 51236, 68680, 55378, 50848, 52731, 50434, 50852, 51166, 51240, 50838, 51070, 51166, 50439, 51414, 51319, 51457, 51411, 75242, 50843, 51166, 51170, 50838, 51070, 53024, 50440, 50848, 51126, 50445, 51414, 52134, 50848, 58090, 51070, 58369, 53159, 51127, 50451, 50953, 52069, 52690, 52015, 51414, 51254, 51457, 51277, 51981, 51277, 51555, 51417, 51838, 79010, 68680, 51074, 56514, 75013, 50988, 51452, 50457, 51070, 51697, 50458, 50848, 51000, 61357, 51965, 51070, 51737, 65751, 55650, 51457, 50912, 50939, 51562, 51553, 51079, 51070, 68544, 51231, 51051, 52932, 51241, 55253, 51351, 52290, 51013, 50920, 51079, 51845, 51074, 50431, 50848, 51797, 50432, 51925, 51079, 51070, 51737, 50437, 77643, 50438, 51457, 51242, 56078, 50915, 52037, 50915, 52430, 51003, 51070, 51387, 50442, 50848, 52518, 50443, 51980, 51365, 51070, 51737, 50448, 51751, 51677, 50449, 51105, 51714, 56139, 52015, 51980, 51412, 51981, 51043, 55253, 51353, 52290, 51945, 52402, 51939, 57166, 52222, 52735, 51293, 50920, 51376, 50454, 51037, 51142, 50455, 51236, 50873, 51070, 51697, 50460, 52303, 59821, 50979, 59317, 54386, 52478, 50939, 51742, 50852, 51166, 51070, 54691, 50424, 52303, 53313, 51687, 51852, 51414, 51166, 51981, 51381, 50843, 67484, 58553, 51074, 50430, 51240, 50845, 51070, 53313, 50436, 51414, 65545, 51423, 51070, 51166, 50441, 51327, 50362, 51657, 50974, 51070, 51166, 50447, 50945, 51293, 53075, 51680, 51249, 51328, 51327, 51411, 56078, 51417, 51164, 51742, 52037, 51218, 51743, 52528, 51711, 52062, 54720, 51449, 51656, 51671, 52626, 51293, 50920, 51079, 51845, 51387, 56514, 67763, 51925, 51074, 51070, 53024, 50458, 50885, 56573, 51249, 65330, 51270, 50838, 51070, 51432, 51601, 50850, 51452, 50416, 51383, 50838, 51070, 51166, 50422, 51303, 51470, 51825, 51542, 56078, 51121, 52037, 51194, 50920, 51174, 76752, 51852, 50428, 55253, 51309, 52290, 51328, 51236, 50974, 51070, 53313, 50433, 56078, 55808, 51775, 50434, 51249, 52167, 52037, 51101, 51070, 64896, 53485, 51172, 69865, 50440, 51567, 51423, 52886, 51293, 51925, 51074, 51070, 53313, 50445, 50927, 52069, 53655, 51680, 51457, 50838, 51981, 51203, 52287, 52188, 53865, 51293, 51612, 51036, 51881, 52062, 55430, 52062, 75667, 51615, 52337, 50832, 70581, 51079, 50446, 51171, 52071, 50451, 50946, 51592, 51889, 50974, 51070, 51387, 50457, 51457, 50363, 50815, 50306, 50933, 51070, 51387, 57342, 50912, 75468, 50415, 52326, 58898, 51981, 50363, 51398, 54071, 50420, 51410, 51627, 54310, 51351, 51236, 68680, 60147, 50848, 58483, 50426, 50852, 51166, 51240, 50838, 51070, 51166, 50428, 50850, 63256, 51457, 52059, 51478, 51346, 51622, 51346, 50850, 51542, 50848, 68376, 51166, 51170, 50838, 51070, 53024, 50438, 51981, 51524, 51070, 51079, 50439, 50848, 52063, 50443, 51940, 51013, 52375, 62682, 50953, 51353, 52690, 52015, 51457, 51309, 52932, 66015, 51518, 52290, 51445, 51881, 51592, 53817, 51445, 54307, 51264, 51863, 52337, 50798, 68680, 51074, 56514, 65390, 51070, 66893, 60577, 50454, 53468, 51177, 54455, 51177, 50455, 51410, 52598, 50847, 58869, 51737, 50460, 51940, 51661, 52375, 51661, 50461, 50939, 51591, 51553, 51079, 51070, 51697, 52478, 51231, 51627, 51414, 51534, 50903, 51079, 50920, 51079, 51845, 51074, 50424, 50903, 50972, 51925, 51079, 51070, 51737, 50430, 51981, 51775, 51478, 50915, 51622, 60871, 51172, 50903, 51166, 51070, 51387, 50436, 51414, 51524, 50872, 58869, 52782, 50442, 51186, 52069, 52303, 51662, 51414, 50838, 51457, 51242, 52106, 51016, 52341, 51016, 51037, 51486, 52037, 51313, 51838, 51939, 51743, 51939, 53181, 51449, 53718, 51353, 50920, 71106, 50848, 57402, 50873, 51070, 51697, 50453, 51414, 51387, 51940, 50892, 52375, 50892, 51070, 54386, 50454, 59228, 50458, 51478, 51417, 51622, 51417, 50459, 50939, 50983, 50852, 51166, 51070, 54691, 52177, 51303, 51961, 51825, 51480, 50903, 63778, 67484, 58553, 51074, 50422, 50848, 52034, 50903, 51079, 51240, 50845, 51070, 53313, 50428, 51414, 50838, 51825, 52482, 50872, 51233, 50903, 51432, 51070, 51166, 50429, 51245, 51377, 51211, 51377, 50434, 51457, 51524, 50848, 51210, 51170, 50974, 51070, 51166, 50440, 50964, 52069, 51476, 52168, 51327, 51328, 51980, 51309, 51981, 51242, 51593, 50807, 51634, 57680, 51742, 51567, 51293, 52402, 51592, 51711, 52062, 55793, 52062, 51615, 51445, 52626, 51307, 50920, 51079, 51845, 51387, 56514, 74307, 50979, 51079, 51925, 51074, 51070, 53024, 50450, 51478, 50892, 51622, 70334, 50847, 75688, 50838, 51070, 51432, 50456, 51593, 51417, 51634, 51417, 50909, 51452, 50457, 51383, 50838, 51070, 51166, 51601, 51981, 51419, 50903, 50974, 50920, 59288, 50903, 50972, 51236, 50974, 51070, 53313, 50426, 51980, 51142, 51478, 51411, 51622, 51411, 50979, 51277, 51070, 75506, 51925, 51074, 51070, 53313, 53758, 51991, 53655, 52783, 51249, 51423, 51457, 50974, 52106, 51112, 52341, 51112, 51171, 51677, 51612, 51293, 53718, 51518, 51743, 51592, 51838, 51939, 55430, 52062, 75667, 50832, 70581, 59388, 50946, 51592, 51889, 50974, 51070, 51387, 50448, 52106, 50805, 52341, 52596, 52326, 52441, 50848, 72184, 52192, 50455, 52106, 51480 ]
[ 0, 713, 765, 8, 182, 1769, 3495, 12, 6930, 18731, 2214, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 20425, 34879, 4, 660, 3459, 8669, 3315, 5, 169, 6, 2800, 30, 21072, 8, 41, 21979, 9590, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 13931, 9, 3676, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 65919, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51366, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51547, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51366, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51547, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 61512, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 69277, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 51098, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51366, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 56950, 51029, 51482, 50948, 51265, 50948, 51195, 50948, 51322, 69277, 55271, 62229, 51195, 50948, 51262, 50948, 51355, 55271, 58292, 51482, 50948, 51265, 50948, 51195, 50948, 51322, 53451, 61363, 57647, 51216, 50860, 51195, 50948, 51262, 50948, 51355, 50948, 51451, 55166, 55271, 59894, 51216, 51072, 51482, 50948, 51265, 50948, 51195, 50948, 51322, 69277, 55271, 59591, 51195, 50948, 51262, 50948, 51355, 55271, 57322, 51150, 51072, 51482, 50948, 51265, 50948, 51195, 50948, 51451, 53451, 61363, 59465, 51195, 50948, 51262, 50948, 51355, 50948, 51830, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 79213, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 56780, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 60777, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 52733, 53451, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51830, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 79213, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 56780, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 60777, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 56780, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 61512, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 69277, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 51098, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51366, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 53451, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51229, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 55166, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 50948, 51366, 52715, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51322, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 69899, 51029, 51726, 50948, 52007, 50948, 51195, 50948, 51366, 79213, 55271, 62229, 51195, 50948, 51350, 50948, 51780, 55271, 58292, 51726, 50948, 52007, 50948, 51195, 56780, 61363, 57647, 51668, 50860, 51195, 50948, 51350, 50948, 51780, 60777, 55271, 59894, 51668, 51009, 51726, 50948, 52007, 50948, 51195, 60777, 55271, 59591, 51195, 50948, 51350, 50948, 51780, 55271, 57322, 51726, 50948, 52007, 50948, 51195, 56780, 61363, 59465, 51195, 50948, 51350, 50948, 51780, 55271, 50948, 56098, 51029, 51726, 50948, 52007, 50948, 51195, 60777, 55271, 62229, 51195, 50948, 51350, 50948, 51780, 55271, 58292, 51726, 50948, 52007, 50948, 51195, 56780, 61363, 57647, 51668, 50860, 51195, 50948, 51350, 50948, 51780, 60777, 55271, 59894, 51668, 51009, 51726, 50948, 52007, 50948, 51195, 50948, 51366, 69277, 55271, 59591, 51195, 50948, 51350, 50948, 51780, 55271, 57322, 51726, 50948, 52007, 50948, 51195, 50948, 51209, 61512, 61363, 59465, 51195, 50948, 51350, 50948, 51780, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 53451, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51209, 55166, 55271, 59894, 51493, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 55166, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 50948, 51209, 52715, 57322, 51098, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51366, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 55166, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 50948, 51229, 52715, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 61512, 61363 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 13305, 816, 11, 5, 762, 9, 230, 538, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 6, 19, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 274, 119, 1176, 406, 6, 272, 6, 8, 1918, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50461, 50951, 50818, 63515, 50931, 52115, 50968, 51631, 51050, 56645, 51646, 50871, 70897, 50967, 50876, 58647, 51085, 59006, 70897, 78022, 54197, 59006, 70897, 78022, 53645, 51215, 50877, 51215, 50876, 51215, 62275, 64674, 51175, 50877, 51175, 50876, 67876, 51050, 64110, 51167, 50877, 51167, 50876, 51167, 55547, 50806, 51279, 57926, 51167, 50877, 51167, 50876, 72882, 51234, 52370, 50290, 56346, 51085, 52370, 50292, 76648, 51379, 50877, 51379, 50876, 51379, 50432, 51279, 52362, 50289, 58395, 51247, 53531, 50309, 73523, 53531, 50316, 51054, 56415, 73523, 53531, 50316, 51054, 50461, 50999, 50818, 56807, 52115, 51114, 51631, 51085, 57022, 51646, 50861, 50967, 72481, 50876, 58647, 51214, 54828, 50967, 72481, 63830, 53997, 54828, 50967, 72481, 63830, 54439, 50967, 72481, 50876, 59067, 51214, 56135, 51215, 50906, 51215, 50876, 67702, 51085, 67957, 51175, 50906, 51175, 50876, 51175, 60963, 50806, 51841, 56294, 51167, 50906, 51167, 50876, 72882, 51247, 52370, 50285, 56346, 51214, 52370, 50287, 73796, 51379, 50906, 51379, 50876, 51379, 50432, 51841, 52362, 50284, 58395, 52206, 68188, 51354, 50906, 51354, 50876, 51354, 56222, 51354, 50906, 51354, 50876, 51354, 55881, 53531, 50309, 51009, 50877, 54107, 51120, 53531, 50314, 61287, 51234, 76932, 56827, 51197, 53531, 50309, 60169, 50824, 54868, 53531, 50309, 53531, 50314, 62945, 51234, 76932, 58395, 51050, 70362, 51009, 50973, 54145, 51315, 53531, 50316, 51054, 53997, 71283, 57078, 51050, 70362, 51527, 50973, 61287, 51315, 53531, 50316, 61860, 51085, 71283, 50923, 54795, 53531, 50299, 73523, 51009, 51028, 54107, 51247, 53531, 50297, 53531, 50318, 61287, 51841, 51215, 51315, 51215, 50877, 63681, 67734, 55149, 51799, 51175, 51120, 51175, 50877, 68550, 72945, 50893, 75697, 53531, 50293, 73523, 51527, 50968, 53531, 50323, 62945, 51799, 52530, 50294, 52530, 50318, 72117, 59306, 68077, 60110, 50902, 51798, 51214, 50918, 51026, 71651, 72778, 54578, 56831, 52910, 51214, 68518, 59153, 60939, 50807, 50431, 50634, 50435, 50633, 50438, 52206, 70928, 60998, 55695, 68647, 70873, 50630, 50449, 50628, 50454, 50627, 50458, 50626, 50461, 50951, 50818, 63515, 50931, 52115, 50968, 51631, 51050, 56645, 51646, 50871, 70897, 50967, 50876, 58647, 51085, 59006, 70897, 78022, 54197, 59006, 70897, 78022, 53645, 51215, 50877, 51215, 50876, 51215, 62275, 64674, 51175, 50877, 51175, 50876, 67876, 51050, 64110, 51167, 50877, 51167, 50876, 51167, 55547, 50806, 51279, 57926, 51167, 50877, 51167, 50876, 72882, 51234, 52370, 50290, 56346, 51085, 52370, 50292, 76648, 51379, 50877, 51379, 50876, 51379, 50432, 51279, 52362, 50289, 58395, 51247, 53531, 50309, 73523, 53531, 50316, 51054, 56415, 73523, 53531, 50316, 51054, 50461, 50999, 50818, 56807, 52115, 51114, 51631, 51085, 57022, 51646, 50861, 50967, 72481, 50876, 58647, 51214, 54828, 50967, 72481, 63830, 53997, 54828, 50967, 72481, 63830, 54439, 50967, 72481, 50876, 59067, 51214, 56135, 51215, 50906, 51215, 50876, 67702, 51085, 67957, 51175, 50906, 51175, 50876, 51175, 60963, 50806, 51841, 56294, 51167, 50906, 51167, 50876, 72882, 51247, 52370, 50285, 56346, 51214, 52370, 50287, 73796, 51379, 50906, 51379, 50876, 51379, 50432, 51841, 52362, 50284, 58395, 52206, 68188, 51354, 50906, 51354, 50876, 51354, 56222, 51354, 50906, 51354, 50876, 51354, 55881, 53531, 50309, 51009, 50877, 54107, 51120, 53531, 50314, 61287, 51234, 76932, 56827, 51197, 53531, 50309, 60169, 50824, 54868, 53531, 50309, 53531, 50314, 62945, 51234, 76932, 58395, 51050, 70362, 51009, 50973, 54145, 51315, 53531, 50316, 51054, 53997, 71283, 57078, 51050, 70362, 51527, 50973, 61287, 51315, 53531, 50316, 61860, 51085, 71283, 50923, 54795, 53531, 50299, 73523, 51009, 51028, 54107, 51247, 53531, 50297, 53531, 50318, 61287, 51841, 51215, 51315, 51215, 50877, 63681, 67734, 55149, 51799, 51175, 51120, 51175, 50877, 68550, 72945, 50893, 75697, 53531, 50293, 73523, 51527, 50968, 53531, 50323, 62945, 51799, 52530, 50294, 52530, 50318, 72117, 59306, 68077, 60110, 50902, 51798, 51214, 50918, 51026, 71651, 72778, 54578, 56831, 52910, 51214, 68518, 59153, 60939, 50807, 50431, 50634, 50435, 50633, 50438, 52206, 70928, 60998, 55695, 68647, 70873, 50630, 50449, 50628, 50454, 50627, 50458, 50626, 50461, 50973, 50818, 63515, 50876, 52910, 51085, 58035, 56730, 78022, 50951, 59067, 72481, 63830, 50951, 58647, 50916, 56730, 78022, 63064, 54594, 56730, 78022, 50951, 59204, 50906, 51215, 50876, 51215, 50951, 51215, 59419, 67782, 51175, 50876, 51175, 50951, 51175, 55895, 61505, 51167, 50876, 51167, 50951, 51167, 54955, 76559, 51379, 50876, 51379, 50951, 51379, 60284, 56346, 51315, 52362, 50314, 51354, 50876, 51354, 50951, 75123, 51120, 51646, 51085, 52362, 50314, 51354, 50876, 51354, 50951, 51354, 65851, 51354, 50876, 51354, 50951, 51354, 50461, 50973, 50818, 54960, 52910, 68077, 54666, 50967, 66002, 50999, 59067, 63830, 66002, 50999, 58647, 51027, 54666, 50967, 66002, 67986, 53975, 54666, 50967, 66002, 67986, 56546, 50967, 66002, 67986, 55898, 54666, 50967, 66002, 50999, 58647, 50956, 57253, 51215, 50931, 51215, 50999, 51215, 53975, 63837, 51175, 50931, 51175, 50999, 51175, 56363, 52247, 51027, 71228, 51379, 50931, 51379, 50999, 51379, 71341, 55122, 51050, 53531, 50316, 51354, 50931, 51354, 50999, 75500, 50876, 51354, 50931, 51354, 50999, 51354, 55881, 53531, 50307, 53531, 50321, 63378, 52038, 51120, 51527, 50899, 51527, 50931, 51527, 51081, 61287, 51146, 61860, 51197, 53531, 50307, 53531, 50321, 70036, 50824, 54868, 51527, 50899, 51527, 50931, 51527, 51081, 62945, 51146, 61287, 51050, 53531, 50309, 53531, 50323, 50824, 51220, 54145, 51315, 51527, 50916, 51527, 50951, 51527, 51062, 51054, 76502, 51054, 60643, 53531, 50309, 53531, 50323, 50824, 51220, 53663, 51315, 51527, 50916, 51527, 50951, 51527, 51062, 61860, 51430, 51054, 54662, 74940, 73301, 50802, 51430, 52038, 51279, 62075, 64244, 77277, 52125, 51214, 66371, 64244, 50802, 51430, 50802, 51487, 52175, 51247, 63861, 64244, 77277, 50802, 51814, 50802, 60963, 50824, 51315, 73301, 51009, 51487, 50824, 52052, 54107, 51247, 50824, 51050, 50824, 51339, 50824, 51814, 53663, 51234, 52362, 50302, 52362, 50326, 52362, 50335, 56827, 51085, 51527, 50900, 51527, 50999, 53531, 50333, 51054, 60820, 53531, 50335, 51054, 50419, 50635, 50423, 50633, 70161, 73725, 52362, 50323, 52362, 50332, 50923, 50428, 50632, 50432, 50631, 50437, 50630, 50438, 51247, 52362, 50297, 52362, 50325, 53531, 50333, 51054, 50442, 50629, 50446, 50628, 50451, 50627, 50456, 50626, 50460, 50625, 50461, 50973, 50818, 63515, 50876, 52910, 51085, 58035, 56730, 78022, 50951, 59067, 72481, 63830, 50951, 58647, 50916, 56730, 78022, 63064, 54594, 56730, 78022, 50951, 59204, 50906, 51215, 50876, 51215, 50951, 51215, 59419, 67782, 51175, 50876, 51175, 50951, 51175, 55895, 61505, 51167, 50876, 51167, 50951, 51167, 54955, 76559, 51379, 50876, 51379, 50951, 51379, 60284, 56346, 51315, 52362, 50314, 51354, 50876, 51354, 50951, 75123, 51120, 51646, 51085, 52362, 50314, 51354, 50876, 51354, 50951, 51354, 65851, 51354, 50876, 51354, 50951, 51354, 50461, 50973, 50818, 54960, 52910, 68077, 54666, 50967, 66002, 50999, 59067, 63830, 66002, 50999, 58647, 51027, 54666, 50967, 66002, 67986, 53975, 54666, 50967, 66002, 67986, 56546, 50967, 66002 ]
[ 0, 250, 15352, 30054, 8, 14899, 5175, 3495, 2214, 4246, 2382, 3459, 8669, 6, 21072, 6, 32909, 6, 21979, 9590, 6, 8, 38668, 3038, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 13955, 163, 5683, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 8, 274, 6, 61, 7230, 5705, 1328, 5, 2125, 6, 2351, 10, 33200, 8, 10132, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51809, 51793, 50824, 51140, 62592, 57639, 50365, 51367, 55712, 51030, 50419, 50920, 50978, 50422, 65144, 50855, 71859, 50855, 76052, 54800, 50955, 50425, 50920, 51470, 59493, 79695, 52699, 51233, 50434, 65144, 50813, 71859, 50862, 76052, 53309, 52823, 51481, 50440, 53240, 51141, 51216, 70353, 52699, 51797, 50446, 65144, 50813, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 58514, 52699, 53726, 50458, 65144, 50836, 71859, 50840, 66051, 50839, 76052, 54800, 53161, 51809, 54021, 51761, 51261, 51448, 50801, 52699, 51058, 50419, 50920, 75570, 68558, 50855, 73872, 50862, 76052, 54940, 51277, 59493, 58514, 53914, 51051, 51889, 69544, 50920, 51174, 50434, 68558, 50829, 73872, 50820, 76052, 54036, 57654, 51642, 51889, 57892, 51889, 68017, 54021, 51286, 51261, 51221, 50920, 51194, 50446, 68558, 50820, 73872, 50839, 76052, 50375, 53830, 50921, 50920, 52482, 51889, 60902, 50610, 51365, 50452, 53691, 51286, 51150, 72827, 79695, 52699, 51242, 50458, 68558, 50846, 71859, 50828, 76052, 52786, 50897, 59951, 58112, 50599, 63604, 50920, 51470, 51809, 51793, 51059, 51140, 70353, 52699, 51470, 50419, 50920, 51470, 50422, 65144, 50840, 71859, 50887, 76052, 55004, 51008, 50425, 50920, 51058, 59493, 58514, 53914, 52482, 50434, 65144, 50836, 71859, 50840, 76052, 53933, 52823, 51481, 50440, 53240, 51029, 51216, 70353, 73168, 51797, 50446, 65144, 50841, 71859, 50840, 66051, 50825, 76052, 55692, 51753, 57857, 79695, 52699, 53726, 50458, 65144, 50809, 71859, 50809, 66051, 50836, 76052, 52786, 53161, 51809, 54021, 51541, 51261, 70353, 52699, 51058, 50419, 50920, 51470, 50422, 68558, 50840, 73872, 50809, 76052, 55692, 51753, 59493, 53127, 51008, 51383, 58221, 50920, 62727, 68558, 50836, 73872, 50846, 76052, 53959, 57654, 51797, 50440, 54021, 51235, 51261, 51056, 52834, 54591, 51194, 59951, 51142, 50446, 68558, 50836, 73872, 50840, 76052, 55692, 52482, 50452, 51150, 51178, 53691, 74050, 56691, 51242, 51383, 56575, 68558, 50887, 71859, 50809, 76052, 55004, 51051, 50461, 50920, 50977, 51809, 51793, 50824, 51140, 70353, 53914, 51030, 50419, 50920, 50978, 50422, 65144, 50855, 76052, 50813, 71859, 55150, 50955, 50425, 50920, 51365, 59493, 58514, 52699, 51233, 50434, 65144, 50813, 71859, 50862, 76052, 53309, 52823, 51481, 50440, 53240, 51141, 51216, 70353, 52699, 51797, 50446, 65144, 50813, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 79695, 52699, 53726, 50458, 65144, 50836, 71859, 50840, 66051, 50862, 76052, 54800, 52518, 51809, 54021, 51761, 51261, 51448, 50801, 52699, 51058, 50419, 50920, 75570, 68558, 50841, 73872, 50839, 76052, 54940, 51309, 59493, 50381, 53047, 53914, 51051, 51383, 58221, 50920, 51174, 50434, 68558, 50867, 73872, 50820, 76052, 54036, 57654, 51642, 51889, 59701, 51889, 62968, 54021, 51286, 51261, 51221, 50920, 51194, 50446, 68558, 50813, 73872, 50839, 76052, 50375, 53830, 50921, 50920, 52482, 51889, 58112, 50610, 51365, 50452, 53691, 51286, 51150, 72827, 56691, 51242, 51383, 56575, 68558, 50840, 71859, 50828, 76052, 50379, 53290, 54591, 50897, 59951, 51365, 50461, 50920, 51470, 51809, 51793, 51059, 51140, 70353, 52699, 51166, 50419, 50920, 51470, 50422, 65144, 50840, 71859, 50887, 76052, 55004, 51058, 50425, 50920, 51058, 59493, 58514, 53914, 52482, 50434, 65144, 50836, 71859, 50840, 76052, 53933, 52823, 51481, 50440, 53240, 51029, 51216, 64286, 73168, 51797, 50446, 65144, 50841, 71859, 50840, 66051, 50825, 76052, 55692, 51797, 57857, 53127, 53726, 51383, 56575, 65144, 50809, 71859, 50809, 66051, 50836, 76052, 55150, 53161, 51809, 54021, 51541, 51261, 70353, 52699, 51058, 50419, 50920, 51470, 50422, 68558, 50840, 73872, 50809, 76052, 55692, 51753, 59493, 56691, 51008, 51383, 58221, 50920, 51006, 50434, 68558, 50836, 73872, 50846, 76052, 53959, 57654, 51797, 50440, 54021, 51235, 51261, 51056, 52834, 54591, 51194, 59951, 51142, 50446, 68558, 50828, 73872, 50846, 76052, 55692, 52482, 50452, 51150, 51178, 53691, 74050, 79695, 52699, 51337, 50458, 68558, 50887, 71859, 50809, 76052, 55004, 51051, 50461, 50920, 50977, 51809, 51793, 50824, 51140, 62592, 53914, 51030, 50419, 50920, 50978, 50422, 65144, 50855, 71859, 50855, 76052, 54800, 50987, 50425, 50920, 51470, 59493, 58514, 52699, 51233, 50434, 65144, 50820, 71859, 50839, 76052, 53309, 52823, 51481, 50440, 53240, 51141, 51216, 70353, 73168, 51797, 50446, 65144, 50820, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 58514, 52699, 53726, 50458, 65144, 50836, 71859, 50840, 66051, 50862, 76052, 54800, 53161, 51809, 54021, 51761, 51261, 51448, 50801, 53914, 51058, 50419, 50920, 75570, 68558, 50855, 73872, 50862, 76052, 54940, 51309, 59493, 58514, 53914, 51051, 51889, 58221, 50920, 51174, 50434, 68558, 50829, 73872, 50820, 76052, 54036, 57654, 51642, 51889, 57352, 51889, 62968, 54021, 51286, 51261, 51377, 50920, 51194, 50446, 68558, 50820, 73872, 50839, 76052, 50375, 53047, 56685, 52482, 59951, 51365, 52834, 50921, 50452, 53691, 51286, 51150, 72827, 79695, 52699, 51242, 50458, 68558, 50846, 71859, 50836, 76052, 55150, 50897, 59951, 58112, 50599, 63604, 50920, 51470, 51809, 51389, 51417, 51389, 51300, 51390, 51300, 51893, 71833, 53914, 51470, 50419, 50920, 51470, 50422, 65144, 50840, 71859, 50887, 76052, 55004, 51008, 50425, 50920, 51058, 59493, 58514, 53914, 52482, 50434, 65144, 50836, 71859, 50840, 76052, 53933, 52823, 51481, 50440, 51216, 51417, 51216, 51300, 51334, 51343, 51924, 73503, 52699, 51797, 50446, 65144, 50841, 71859, 50840, 66051, 50825, 76052, 55692, 51797, 57857, 58514, 52699, 53726, 50458, 71859, 50818, 65144, 50818, 66051, 50828, 76052, 52786, 52518, 51809, 51261, 51300, 51261, 51749, 51408, 54344, 51390, 54344, 50801, 53914, 51058, 50419, 50920, 51470, 50422, 68558, 50840, 73872, 50809, 76052, 55692, 51753, 59493, 79695, 53914, 51008, 50431, 50920, 62727, 68558, 50836, 73872, 50846, 76052, 53959, 57654, 51797, 50440, 51261, 51400, 51261, 51237, 52834, 50921, 50920, 51194, 59951, 51142, 50446, 68558, 50836, 73872, 50840, 76052, 55692, 52482, 50452, 51150, 51576, 51150, 75270, 56691, 51242, 51383, 56575, 68558, 50887, 71859, 50809, 76052, 55004, 51051, 50461, 50920, 50977, 51809, 51389, 51127, 51389, 51009, 51390, 51300, 51893, 71833, 53914, 51166, 50419, 50920, 51470, 50422, 65144, 50855, 71859, 50855, 76052, 54800, 51008, 50425, 50920, 51008, 59493, 58514, 52699, 52482, 50434, 65144, 50820, 71859, 50839, 76052, 53309, 52823, 51642, 50440, 51216, 51300, 51216, 51127, 51334, 51637, 51924, 51637, 50801, 52699, 51797, 50446, 65144, 50820, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 56691, 53726, 51383, 56575, 65144, 50836, 71859, 50840, 66051, 50862, 76052, 50813, 51390, 50873, 51893, 72732, 52518, 51809, 51261, 51417, 51261, 71833, 52699, 51058, 50419, 50920, 51470, 50422, 68558, 50841, 73872, 50862, 76052, 54940, 51797, 59493, 79695, 52699, 51058, 50431, 50920, 51006, 50434, 68558, 50829, 73872, 50820, 76052, 54036, 57654, 51797, 50440, 51261, 51097, 51261, 51016, 50920, 51194, 50446, 68558, 50820, 73872, 50862, 76052, 50375, 53830, 62297, 52482, 59951, 51033, 50452, 51150, 51178, 51150, 57432, 79695, 52699, 51337, 50458, 68558, 50846, 71859, 50836, 76052, 50379, 53830, 62297, 51051, 59951, 51033, 50461, 50920, 50977, 51809, 51793, 50824, 51140 ]
[ 0, 250, 33928, 8, 19448, 5175, 3495, 2214, 4246, 41, 30062, 620, 7085, 12280, 642, 8, 2382, 3459, 8669, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24826, 198, 5, 40286, 381, 6, 163, 6, 8, 83, 6, 2351, 10, 15352, 30054, 8, 11653, 5466, 11, 42, 765, 2125, 14, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 54361, 50802, 53260, 50802, 53436, 50802, 56976, 50802, 55039, 51009, 53748, 57214, 54361, 52038, 53260, 52030, 56976, 52125, 54029, 50802, 53260, 50802, 54740, 50802, 55554, 50802, 56837, 57310, 54029, 52175, 53260, 52325, 55554, 50802, 50799, 52890, 50802, 52697, 50802, 54895, 50802, 53436, 50802, 53472, 57214, 52890, 52038, 52697, 52030, 53436, 52125, 52890, 51072, 52697, 51072, 54895, 51072, 53436, 51072, 61534, 51009, 53748, 70851, 54029, 51072, 55554, 51072, 50799, 54361, 50802, 53260, 50802, 53436, 50802, 56976, 50802, 55039, 57214, 54361, 52038, 53260, 52030, 56976, 52125, 54029, 50802, 53260, 50802, 54740, 50802, 55554, 50802, 56837, 57310, 54029, 52175, 53260, 52325, 55554, 50802, 50799, 52890, 50802, 52697, 50802, 54895, 50802, 53436, 50802, 53472, 57214, 52890, 52038, 52697, 52030, 53436, 52125, 52890, 51072, 52697, 51072, 53436, 51072, 61534, 51009, 53748, 70851, 54740, 52325, 54895, 50802, 50799, 55039, 51009, 53748, 51009, 52890, 51009, 54361, 51009, 53260, 57214, 51385, 52038, 51385, 52030, 51385, 52125, 56837, 51009, 53748, 51009, 54757, 51009, 54029, 51009, 53260, 51009, 51208, 68174, 51385, 50802, 50799, 60131, 51009, 53472, 51009, 55052, 51009, 52890, 51009, 51185, 52410, 51385, 52038, 51023, 52030, 51268, 52125, 61534, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51023, 52313, 51208, 52175, 53748, 51072, 54757, 51072, 54029, 51072, 51208, 51072, 50799, 55039, 51009, 53748, 51009, 52890, 51009, 54361, 51009, 53260, 57214, 51385, 52038, 51385, 52030, 51385, 52125, 54757, 51072, 54029, 51072, 53260, 51072, 56837, 51009, 53748, 51009, 51208, 63758, 54361, 64531, 51385, 50802, 50799, 60131, 51009, 53472, 51009, 55052, 51009, 52890, 51009, 51185, 52410, 51385, 52038, 51023, 52030, 51208, 52125, 61534, 51072, 53748, 51072, 54757, 51072, 54029, 51072, 51208, 70851, 53748, 51072, 53260, 51072, 50799, 55039, 51072, 53748, 51072, 52890, 51072, 54361, 64948, 51385, 52038, 53748, 50802, 52890, 51072, 54361, 51072, 51385, 52030, 55039, 50802, 51385, 52125, 59862, 51072, 53748, 51072, 54757, 51072, 54029, 51072, 51208, 65027, 53748, 50802, 54757, 51072, 54029, 64531, 59862, 50802, 51385, 50802, 50799, 53472, 51072, 53118, 51072, 52890, 51072, 51023, 61874, 53472, 51072, 53118, 51072, 52890, 65031, 53472, 51072, 53118, 51072, 52890, 63758, 53472, 51072, 53118, 51072, 52890, 51072, 51023, 52325, 51403, 50802, 50799, 53260, 50802, 61534, 51184, 51403, 54217, 50420, 54029, 52038, 52697, 52030, 53260, 63757, 54029, 52175, 52697, 52325, 53260, 50802, 50799, 53260, 50802, 53748, 61912, 54029, 52038, 52697, 52030, 53260, 63757, 54029, 52175, 52697, 52325, 53260, 50802, 51023, 50802, 50799, 55039, 51072, 53748, 51072, 52890, 51072, 54361, 51072, 53260, 51072, 51385, 63398, 52890, 51072, 54361, 51072, 53260, 64414, 55039, 50802, 51385, 52125, 56837, 51072, 53748, 51072, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 65027, 53748, 50802, 54757, 51072, 54029, 51072, 53260, 64531, 56837, 50802, 51385, 50802, 50799, 60131, 51072, 55039, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51185, 66489, 53472, 50802, 55052, 51072, 52890, 51072, 51385, 52030, 60131, 50802, 51023, 52125, 61534, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51023, 52313, 51208, 52175, 53472, 50802, 55052, 51072, 52890, 51072, 51208, 52325, 61534, 50802, 51023, 50802, 50799, 70563, 51072, 55039, 51072, 52890, 51072, 54361, 51072, 53260, 51072, 51385, 63398, 55039, 50802, 52890, 51072, 54361, 51072, 53260, 64414, 70563, 50802, 51385, 52125, 50697, 50293, 51072, 56837, 51072, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 65027, 56837, 50802, 54757, 51072, 54029, 51072, 53260, 64531, 50697, 50293, 50802, 51385, 50802, 50799, 60131, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51185, 52410, 51385, 66489, 53472, 50802, 55052, 51072, 52890, 64414, 60131, 50802, 51023, 52125, 61534, 50802, 53472, 50802, 54757, 51072, 54029, 51072, 51208, 57310, 53472, 52175, 53472, 50802, 54029, 64531, 61534, 50802, 50799, 70563, 51072, 55039, 51072, 52890, 51072, 54361, 51072, 53260, 64948, 51385, 52038, 55039, 50802, 52890, 51072, 54361, 51072, 53260, 51072, 51385, 52030, 70563, 50802, 51385, 52125, 50697, 50293, 51072, 56837, 51072, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 63758, 56837, 50802, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 52325, 50697, 50293, 50802, 51385, 50802, 50799, 53472, 50802, 53748, 50802, 53118, 51072, 52890, 51072, 51023, 52410, 55039, 50802, 51023, 60625, 53748, 51072, 53118, 51072, 52890, 65031, 53748, 50802, 53118, 51072, 52890, 63757, 53472, 50802, 51023, 52175, 53748, 50802, 53118, 51072, 52890, 51072, 51023, 52325, 53472, 50802, 51403, 50802, 50799, 61534, 50802, 53260, 51072, 55802, 51072, 51403, 52737, 50420, 57215, 52038, 53472, 50802, 53260, 51072, 55802, 64414, 53748, 58769, 53260, 51072, 55802, 63758, 53260, 51072, 55802, 64531, 57215, 50802, 50799, 53260, 51072, 54740, 51072, 55554, 51072, 61534, 51184, 57215, 51184, 53748, 74899, 53260, 51072, 54740, 51072, 55554, 65031, 53260, 51072, 54740, 51072, 55554, 63758, 53260, 51072, 54740, 51072, 55554, 64531, 51385, 50802, 50799, 53472, 51009, 55052, 51009, 52890, 51009, 52697, 51009, 54895, 51009, 51185, 66489, 51385, 65031, 57215, 51009, 55052, 51009, 52890, 51009, 54029, 51009, 52697, 51009, 51023, 68174, 51385, 50802, 50799, 53472, 51009, 55052, 51009, 52890, 51009, 52697, 51009, 54895, 51009, 51185, 66489, 51385, 65031, 57215, 51009, 55052, 51009, 52890, 51009, 54029, 51009, 52697, 51009, 51208, 68174, 51385, 50802, 50799, 53472, 51009, 55052, 51009, 52890, 51009, 52697, 51009, 54895, 51009, 51185, 66489, 51385, 65031, 57215, 51009, 55052, 51009, 52890, 51352, 54029, 51352, 52697, 51352, 51023, 51184, 50799, 61534, 52410, 59862, 52038, 57215, 52030, 53748, 73018, 54029, 51009, 51023, 51009, 58106, 55039, 51184, 53748, 51184, 52890, 51184, 54361, 51184, 51023, 51184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 5175, 3495, 2214, 4246, 38668, 20535, 6, 13305, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 10, 1769, 204, 73, 306, 86, 6543, 8, 5, 762, 9, 274, 538, 6, 7630, 14805, 6453, 9, 11098, 6, 1007, 6, 8, 10563, 149, 63, 15352, 30054, 15229, 8, 2365, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50796, 50796, 52354, 51226, 51497, 51191, 51323, 51233, 52106, 50981, 51479, 75179, 72086, 55229, 52856, 50870, 51593, 50825, 51323, 56450, 50898, 52942, 64124, 58167, 51205, 51111, 50437, 52856, 53040, 51323, 50835, 51593, 51464, 53675, 51479, 53671, 59587, 50964, 65223, 51323, 50825, 52856, 50834, 51593, 53754, 51695, 52193, 51105, 51541, 51497, 51191, 51593, 51351, 52106, 51115, 59194, 65703, 75179, 72086, 69356, 51323, 50941, 51593, 52712, 52856, 54946, 50898, 52942, 64124, 58167, 51205, 73835, 51323, 50835, 51593, 50820, 52856, 51464, 53675, 51479, 53671, 59587, 61415, 50449, 51323, 50825, 52856, 52725, 51593, 53396, 51695, 57859, 51105, 51362, 50456, 51593, 51391, 52106, 51310, 51497, 51141, 59194, 65703, 75179, 72086, 55229, 51593, 50825, 51323, 50863, 52856, 56533, 50898, 52942, 64124, 58167, 51205, 51060, 50437, 51323, 50837, 52856, 53891, 51593, 51464, 53675, 50964, 51111, 51479, 53671, 58977, 51323, 50825, 51593, 50834, 52856, 50834, 51899, 51695, 57859, 51105, 51364, 51497, 51204, 51593, 51391, 50456, 52106, 51318, 59194, 65703, 75179, 72086, 69356, 51593, 50886, 52856, 50904, 51323, 50863, 59158, 52942, 64124, 58167, 51205, 51095, 50437, 51323, 50837, 52856, 52621, 51593, 51833, 53675, 51479, 53671, 59587, 50964, 51095, 50449, 51485, 50823, 51323, 50837, 51593, 50820, 52856, 50834, 51899, 51695, 57859, 51509, 54178, 61049, 59194, 50799, 52067, 50860, 50945, 51226, 51497, 51191, 51323, 51233, 52106, 50981, 51479, 75179, 72086, 70394, 52067, 61874, 52856, 50870, 51593, 50825, 51323, 50891, 50999, 52369, 51405, 52362, 50328, 52097, 51339, 52369, 53316, 52942, 52265, 51405, 62621, 58167, 51205, 51111, 50437, 52856, 53040, 51323, 50835, 51593, 50834, 51405, 53065, 63895, 51405, 55434, 51479, 53671, 59587, 50964, 51111, 51405, 53528, 51062, 66185, 51405, 54105, 51323, 50825, 52856, 50834, 51593, 50839, 51062, 55296, 51695, 56721, 51405, 57186, 51062, 59699, 51405, 64833, 51430, 53017, 51105, 51541, 51497, 51189, 51593, 51351, 52106, 51134, 51062, 55642, 51636, 50458, 51405, 56551, 51062, 61243, 51405, 50857, 65703, 75179, 72086, 69356, 51323, 50941, 51593, 52712, 52856, 54946, 50898, 52942, 64124, 58167, 51205, 73835, 51323, 50835, 51593, 50820, 52856, 51464, 53675, 51479, 53671, 59587, 61415, 50449, 51323, 50825, 52856, 52725, 51593, 53396, 51695, 57859, 51105, 51362, 52608, 58954, 51593, 51391, 52106, 51310, 51497, 51141, 51479, 56912, 51978, 50823, 65703, 75179, 72086, 69356, 51062, 51460, 50999, 52369, 51405, 51603, 51339, 52266, 50426, 51593, 50825, 51323, 50863, 52856, 56533, 50898, 52942, 64124, 58167, 51205, 51060, 50435, 51062, 50974, 50437, 51323, 50837, 52856, 51537, 50331, 54927, 51641, 50860, 51593, 51464, 67268, 51405, 61173, 51062, 68937, 51509, 50894, 51405, 54394, 50964, 51111, 51062, 58011, 50898, 53671, 56877, 51405, 50838, 50448, 51062, 58914, 51509, 50823, 51323, 50825, 51593, 50834, 52856, 50834, 51899, 51695, 56721, 51062, 57186, 51405, 51484, 50454, 51062, 62356, 51641, 50950, 51105, 51364, 51497, 51141, 51593, 51391, 50456, 52106, 51419, 51479, 57895, 51062, 67163, 52067, 51761, 65703, 75179, 72086, 69356, 51593, 50886, 52856, 50904, 51323, 50863, 59158, 52942, 58976, 51641, 51014, 51361, 58167, 51205, 51095, 50437, 79430, 51323, 50837, 52856, 52621, 51593, 51833, 61194, 51509, 56059, 51479, 53671, 59587, 50964, 51095, 50449, 51323, 50837, 51593, 50820, 52856, 50834, 51899, 51695, 57859, 52608, 52325, 51509, 51352, 61049, 51479, 56912, 51978, 50803, 52354, 51226, 51497, 51191, 51323, 51233, 52106, 50981, 51479, 75179, 72086, 55229, 52856, 50870, 51593, 50825, 51323, 50891, 51405, 51014, 50999, 52369, 51062, 51460, 51339, 52369, 53316, 52942, 56973, 51430, 56999, 51405, 51058, 51361, 58167, 51205, 51111, 50436, 51062, 51174, 50437, 52856, 53040, 51323, 50835, 51593, 50834, 51405, 51627, 50791, 63895, 51062, 54653, 51479, 53671, 59587, 50964, 51111, 51062, 65311, 51062, 75589, 51323, 50825, 52856, 50834, 51593, 53754, 51695, 52193, 51105, 51541, 51497, 51189, 51593, 51351, 52106, 51134, 59194, 65703, 75179, 72086, 69356, 51323, 50941, 51593, 52712, 52856, 54946, 50898, 52942, 64124, 58167, 51205, 73835, 51323, 50835, 51593, 50820, 52856, 51464, 53675, 51479, 53671, 59587, 61415, 50449, 51323, 50825, 52856, 52725, 51593, 53396, 51695, 57859, 51105, 51362, 52608, 59315, 51593, 51391, 52106, 51310, 51497, 51141, 59194, 50799, 51978, 50823, 51479, 75179, 72086, 69356, 50999, 53435, 51062, 51603, 51405, 53531, 50333, 53435, 51430, 52639, 51593, 50825, 51323, 50863, 52856, 56533, 51392, 52942, 64124, 58167, 51205, 51060, 50435, 51062, 51074, 50437, 51323, 50837, 52856, 51537, 50331, 54927, 51593, 51464, 67268, 51405, 67552, 51062, 64101, 51405, 54947, 50964, 51111, 51479, 53671, 59587, 51062, 56317, 51405, 50838, 50448, 51062, 63155, 51323, 50825, 51593, 50834, 52856, 50834, 51899, 59976, 50452, 51062, 58759, 51405, 68927, 51105, 51364, 51497, 51141, 51593, 51391, 51062, 54232, 52106, 51419, 51479, 56995, 51062, 72486, 51405, 50827, 65703, 75179, 72086, 69356, 51593, 50886, 52856, 50904, 51323, 50863, 59158, 52942, 64124, 58167, 51205, 51095, 50436, 52629, 57880, 51323, 50837, 52856, 52621, 51593, 51833, 61194, 52629, 63189, 51479, 53671, 59587, 50964, 51095, 50449, 51323, 50837, 51593, 50820, 52856, 50834, 51899, 51695, 57859, 51839, 51351, 53468, 51241, 51478, 51351, 56404, 58954, 61049, 51479, 56912, 52336, 50860, 53628, 50823, 53596, 51091, 51479, 75179, 72808, 52264, 50921, 51039, 75564, 51509, 57615, 51839, 50834, 53824, 50855, 78602, 52942, 56973, 51081, 52121, 51146, 51717, 51339, 52122, 52128, 51801, 50431, 51509, 52030, 51105, 52201, 57776, 51839, 50867, 53824, 50862, 51570, 63895, 52264, 63189, 75414, 51479, 53671, 52568, 51839, 50867, 53824, 55459, 51695, 57859, 51325, 50879, 51839, 51419, 53468, 51241, 51478, 51134, 50456, 51479, 56912, 51186, 51241, 65703, 75179, 72086, 69356, 51839, 53803, 53824, 55459, 50898, 52942, 52265, 51105, 56022, 57776, 51839, 50857, 53824, 50813, 51570, 53675, 61269, 51479, 53671, 58977, 51839, 50835, 53824, 50855, 51899, 51695, 57859, 51839, 51419, 51478, 51134, 53468, 51351, 56404, 58954, 66195, 51479, 56912, 51186, 50943, 53628, 51045, 65703, 50949, 51402, 72086, 55229, 52264, 50823, 51839, 50867, 53824, 54690, 51392, 52942, 58976, 52336, 68981, 51105, 52808, 52676, 52336, 50823, 51839, 50904, 53824, 51559, 61194, 52264, 77762, 61269, 51479, 53671, 52568, 52629, 51300, 53824, 50855, 51839, 53396, 51695, 57859, 51839, 51419, 53468, 51351, 51478, 51391, 50456, 51325, 51158, 59194, 54516, 50943, 51479, 75179, 72086, 69356, 51509, 51973, 51839, 50886, 53824, 55459, 50898, 52942, 58976, 51509, 80130, 58167, 50927, 51060, 50437, 51509, 52952, 51839, 50864, 53824, 51559, 53675, 51509, 50802, 51479, 53671, 59587, 51105, 52596, 53824, 50862, 51839, 54327, 51695, 52193, 51509, 51352, 56574, 52106, 51115, 51497, 51351, 51593, 51134, 59194, 65703, 58842, 50945, 51003, 51402, 72086, 55229, 51323, 50857, 52856, 66340, 52369, 51062, 53531, 50331, 53318, 50333, 52369, 53316, 52942, 58976, 51405, 52739, 51205, 53710, 56987, 51405, 54728, 51323, 50904, 52856, 50834, 51405, 54220, 59575, 51062, 63231, 51405, 67552, 51062, 54758, 61415, 51405, 56081, 50898, 53671, 59587 ]
[ 0, 250, 20902, 3495, 2214, 11, 211, 538, 6, 4246, 10, 13305, 14, 1974, 20425, 8, 15352, 30054, 2301, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 590, 10, 20889, 9, 18461, 13410, 228, 2289, 6, 4760, 25, 12447, 1001, 6, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 8, 272, 4, 20, 15229, 18, 13428, 23645, 27459, 2397, 6, 442, 24, 10, 455, 12, 16096, 2214, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51026, 51592, 50951, 50933, 50418, 51114, 59329, 50968, 55656, 50902, 68858, 50968, 62727, 51114, 56180, 50951, 70430, 51114, 62565, 50968, 55514, 51026, 51592, 50902, 72921, 50968, 65897, 51114, 50933, 56807, 50933, 50418, 51114, 64987, 50968, 55656, 50902, 68858, 50968, 62727, 51114, 56180, 51026, 51080, 50951, 70430, 51114, 62565, 50968, 55514, 50902, 50932, 56310, 51592, 76604, 50418, 50951, 64987, 51114, 55656, 50968, 68858, 51114, 62727, 50951, 56180, 50999, 70430, 50951, 62565, 51114, 55514, 51027, 51592, 50968, 72921, 51114, 65897, 50951, 50933, 58479, 50933, 50418, 50951, 64987, 51114, 55656, 50968, 68858, 51114, 62727, 50951, 50933, 55898, 51080, 51114, 70430, 50951, 62565, 51147, 55514, 50999, 50932, 53975, 51517, 50332, 50933, 50418, 51787, 64987, 51487, 55656, 51027, 74616, 68858, 51146, 62727, 51430, 56180, 51086, 51517, 50330, 70430, 51430, 62565, 51787, 55514, 51026, 51517, 50327, 72921, 51062, 65897, 51146, 50933, 56310, 74616, 50933, 50418, 51146, 64987, 51430, 55656, 51378, 70453, 68858, 51220, 62727, 51062, 56180, 51026, 51517, 50327, 70430, 51062, 62565, 51146, 55514, 51315, 65300, 72921, 50999, 65897, 51220, 50933, 54868, 53233, 76604, 50418, 51147, 64987, 50951, 55656, 51114, 68858, 50931, 62727, 50968, 56180, 51001, 70430, 50902, 62565, 51028, 55514, 64304, 50454, 50973, 65897, 67695, 54852, 54869, 51120, 54498, 51120, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51027, 59219, 51309, 65281, 56180, 51120, 51517, 50322, 51309, 50446, 51114, 55514, 51027, 62722, 51309, 50458, 76884, 53975, 58327, 54869, 51315, 58327, 51309, 50434, 72811, 55203, 65377, 51309, 50446, 50989, 54980, 51086, 50932, 50458, 58222, 56310, 59219, 67778, 51120, 54498, 51120, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51120, 59219, 51309, 65281, 56180, 51027, 51517, 50322, 54980, 51120, 62722, 51309, 50458, 76884, 56310, 58327, 51309, 68225, 55656, 51120, 70713, 51309, 50434, 50877, 56180, 51027, 69711, 54980, 51120, 59219, 50932, 54955, 58794, 51592, 56947, 54498, 51027, 54980, 51086, 50932, 53975, 62722, 50932, 53523, 62722, 51309, 50434, 50902, 56180, 51026, 58327, 70430, 50902, 62565, 50968, 55514, 51026, 60473, 50932, 56310, 59219, 51309, 50422, 50973, 55656, 51027, 65521, 51309, 50434, 50877, 56180, 51120, 60473, 54980, 51120, 50932, 56310, 62722, 54869, 51120, 60473, 54498, 51027, 59219, 51309, 50446, 50973, 55514, 51027, 65521, 51309, 50458, 61048, 54868, 60473, 67778, 51120, 54498, 50899, 54980, 51120, 50932, 53975, 62722, 50932, 53523, 60473, 54498, 50900, 58327, 54980, 50900, 50932, 54206, 59219, 50932, 53337, 51517, 50322, 51309, 50434, 50968, 50933, 55898, 60473, 51309, 79472, 55514, 50899, 60473, 51309, 50458, 64304, 54868, 54869, 77743, 50434, 50968, 56180, 50973, 51627, 50458, 61048, 54955, 58794, 67778, 51120, 54498, 51026, 54980, 51120, 50932, 54955, 65300, 51309, 50422, 50951, 55656, 51120, 51517, 50322, 51309, 50434, 51114, 56180, 51026, 62722, 51309, 79472, 55514, 51120, 60473, 51309, 50458, 76884, 54955, 62722, 51309, 50422, 50968, 55656, 51120, 51517, 50322, 51309, 50434, 51114, 56180, 51026, 65300, 54980, 51120, 65300, 72921, 51114, 65897, 50951, 50933, 56310, 70453, 51309, 50422, 50968, 55656, 51315, 62722, 54498, 51027, 70453, 51309, 79472, 55514, 51315, 62722, 50932, 56310, 62722, 51309, 50422, 51114, 55656, 51315, 65300, 51309, 50434, 50968, 56180, 51027, 70453, 54980, 51120, 50932, 54955, 65300, 51309, 50422, 50951, 55656, 51120, 51517, 50322, 51309, 50434, 51114, 56180, 51026, 62722, 51309, 79472, 55514, 51120, 60473, 51309, 50458, 50968, 50933, 54955, 51517, 50327, 51309, 50422, 51220, 55656, 51086, 51517, 50327, 68858, 50999, 62727, 51220, 50933, 55203, 74616, 51627, 50450, 51315, 50932, 50458, 50951, 50933, 56310, 62722, 51309, 50422, 51001, 55656, 51027, 62722, 51309, 50434, 50951, 56180, 51120, 51517, 50322, 51309, 50446, 50951, 55514, 51120, 77316, 54955, 65300, 67778, 51120, 54498, 51026, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51027, 59219, 51309, 65281, 56180, 51120, 51517, 50322, 51309, 50446, 51114, 55514, 51027, 62722, 51309, 50458, 76884, 53975, 58327, 54869, 51315, 58327, 51309, 50434, 72811, 55203, 65377, 51309, 50446, 50989, 54980, 51086, 50932, 50458, 58222, 56310, 59219, 67778, 51120, 54498, 51120, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51120, 59219, 51309, 65281, 56180, 51027, 51517, 50322, 54980, 51120, 62722, 51309, 50458, 76884, 56310, 58327, 51309, 68225, 55656, 51120, 70713, 51309, 50434, 50877, 56180, 51027, 69711, 54980, 51120, 59219, 50932, 54955, 58794, 51592, 56947, 54498, 51027, 54980, 51086, 50932, 53975, 62722, 50932, 53523, 62722, 51309, 50434, 50902, 56180, 51026, 58327, 70430, 50902, 62565, 50968, 55514, 51026, 60473, 50932, 56310, 59219, 51309, 50422, 50973, 55656, 51027, 65521, 51309, 50434, 50877, 56180, 51120, 60473, 54980, 51120, 50932, 56310, 62722, 54869, 51120, 60473, 54498, 51027, 59219, 51309, 50446, 50973, 55514, 51027, 65521, 51309, 50458, 61048, 54868, 60473, 67778, 51120, 54498, 50899, 54980, 51120, 50932, 53975, 62722, 50932, 53523, 60473, 54498, 50900, 58327, 54980, 50900, 50932, 54206, 59219, 50932, 53337, 51517, 50322, 51309, 50434, 50968, 50933, 55898, 60473, 51309, 79472, 55514, 50899, 60473, 51309, 50458, 64304, 54868, 54869, 77743, 50434, 50968, 56180, 50973, 51627, 50458, 61048, 54955, 58794, 62666, 51120, 54498, 51026, 50932, 50442, 50899, 62565, 50916, 55514, 51120, 69711, 72921, 58222, 50458, 61048, 54955, 70713, 50933, 50418, 50906, 64987, 50973, 55656, 51120, 58794, 51309, 50434, 50899, 56180, 51026, 70713, 70430, 61048, 50446, 50973, 55514, 51120, 58794, 51309, 50458, 63383, 56310, 58327, 50933, 50418, 50973, 64987, 50876, 55656, 51120, 59219, 54498, 51120, 51309, 50989, 51309, 50877, 51309, 50446, 51120, 50933, 50989, 50933, 50877, 55514, 51120, 69711, 59219, 50932 ]
[ 0, 250, 20902, 3495, 3152, 2214, 14, 1931, 21683, 8593, 26358, 8, 10563, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 6755, 12547, 6, 38668, 20535, 6, 21072, 6, 8, 12280, 3275, 1725, 3109, 4, 590, 10, 1769, 20889, 9, 20598, 13410, 228, 2289, 8, 41, 22438, 195, 73, 306, 86, 6543, 6, 42, 2365, 12, 36381, 1349, 16, 278, 11, 5, 762, 9, 274, 10431, 538, 6, 22690, 10, 33215, 16739, 9, 163, 401, 6, 274, 10431, 73, 347, 10431, 6, 8, 12608, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56355, 50632, 50426, 58153, 51091, 53564, 51091, 53381, 51091, 53388, 51091, 51001, 50870, 50951, 53962, 50906, 73747, 54950, 51001, 53569, 51001, 50982, 51114, 50928, 51147, 56432, 50906, 53594, 58312, 51145, 53022, 51145, 53381, 51145, 53388, 51145, 51001, 50870, 51114, 56377, 51001, 53421, 51001, 50982, 50951, 54059, 51001, 50870, 51147, 55397, 51001, 50982, 50462, 51086, 71029, 50982, 51114, 50928, 50468, 51001, 50870, 51114, 50928, 50471, 51001, 50982, 50799, 60117, 51307, 53022, 51191, 53381, 51191, 53388, 51191, 50906, 73747, 50870, 50951, 54183, 51001, 54604, 50906, 50982, 51001, 53356, 50906, 73747, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 53022, 51452, 52681, 51452, 51001, 50870, 51114, 55762, 51001, 53569, 51001, 50982, 50951, 54485, 51001, 50870, 51147, 54914, 51001, 53421, 51086, 71029, 50982, 51114, 54059, 51001, 50870, 51114, 56232, 51001, 50982, 50799, 57600, 51115, 53009, 50878, 53388, 50878, 51001, 50870, 50951, 54183, 52681, 50878, 53395, 50925, 50906, 73747, 54604, 51001, 53356, 53388, 50925, 53282, 50925, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 58153, 50849, 53282, 50897, 54106, 50897, 50906, 73747, 50870, 51114, 55762, 50906, 50982, 51001, 53569, 50906, 73747, 50982, 50951, 54485, 58312, 50845, 53395, 50878, 53559, 50878, 51001, 50870, 51147, 54914, 51001, 53421, 51086, 71029, 50982, 51114, 54059, 60117, 51103, 53388, 50914, 53282, 71606, 50870, 51114, 56232, 51001, 50982, 57923, 50870, 50951, 54183, 53381, 50878, 50906, 73747, 54604, 51001, 53356, 52332, 51090, 53388, 50925, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 53575, 60117, 51452, 52681, 51452, 53395, 51452, 51001, 50870, 51114, 55762, 52332, 53177, 50319, 53569, 52187, 51379, 51001, 50982, 50951, 54485, 51001, 50870, 51147, 59265, 52414, 51379, 50447, 52187, 51379, 51001, 53421, 51086, 71029, 50982, 51114, 65496, 53129, 51379, 50455, 52414, 51379, 50456, 51001, 50870, 51114, 56232, 51001, 50982, 50799, 51558, 51161, 58153, 51204, 53564, 51204, 53381, 51204, 53388, 51204, 50906, 73747, 50870, 50951, 65843, 53129, 51379, 50420, 51001, 54604, 51558, 51161, 50906, 50982, 51001, 53356, 50906, 73747, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 58312, 51452, 53022, 51452, 53381, 51452, 53388, 51452, 51001, 50870, 51114, 55762, 51001, 53569, 51001, 50982, 50951, 54485, 51001, 50870, 51147, 54914, 51001, 53421, 51394, 68339, 71029, 50982, 51114, 54059, 51558, 57367, 50870, 51114, 56232, 51394, 57367, 50982, 50799, 51905, 50983, 60117, 51264, 53022, 51204, 53381, 51204, 53388, 51204, 51001, 50870, 50951, 62716, 51558, 52115, 50906, 73747, 54604, 51905, 50983, 51001, 53356, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 51600, 50983, 53022, 51452, 52681, 51452, 50906, 73747, 50870, 51114, 55762, 50906, 50982, 51001, 53569, 50906, 73747, 50982, 50951, 60895, 51600, 60865, 51001, 50870, 51147, 54914, 51001, 53421, 52405, 51036, 51086, 71029, 50982, 51114, 54059, 51001, 50870, 51114, 56232, 52405, 51036, 51001, 50982, 50799, 57600, 51115, 53009, 50878, 53388, 50878, 51001, 50870, 50951, 54183, 52681, 50925, 53395, 50925, 50906, 73747, 54604, 51001, 53356, 53388, 50897, 53282, 50897, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 53575, 58153, 50845, 53282, 50878, 54106, 50878, 51001, 50870, 51114, 55762, 51001, 53569, 51001, 50982, 50951, 54485, 58312, 50845, 53395, 50878, 53559, 50878, 51001, 50870, 51147, 54914, 51001, 53421, 52838, 68339, 71029, 50982, 51114, 54059, 52405, 52382, 60117, 51103, 53388, 51103, 53282, 51103, 51001, 50870, 51114, 56232, 52838, 57367, 50982, 52177, 52405, 52382, 50420, 51705, 52108, 53025, 52038, 51705, 53030, 55848, 52605, 60117, 51452, 52681, 51452, 53395, 51452, 55533, 52025, 57873, 52025, 50798, 51646, 51705, 52108, 61588, 56157, 57309, 51387, 63909, 51387, 51705, 55157, 51798, 55533, 52025, 57873, 54590, 50313, 53889, 51575, 52325, 50877, 53889, 54429, 52937, 50877, 53889, 51858, 50800, 50799, 52405, 51036, 53564, 51091, 53282, 51091, 54106, 51091, 56590, 51091, 57873, 50845, 51560, 56036, 54200, 59515, 52774, 53706, 50845, 51560, 51370, 57572, 52405, 61899, 52165, 50845, 55533, 50845, 51560, 56962, 53889, 51331, 52605, 53022, 50918, 53559, 50918, 54106, 50918, 56590, 50918, 57873, 50915, 51493, 56962, 51437, 52446, 51493, 51428, 52959, 52815, 52165, 50845, 53706, 50845, 51493, 56036, 51437, 52596, 55533, 50845, 51493, 68339, 72471, 53889, 51331, 52961, 57873, 50845, 51493, 56962, 51437, 50805, 50799, 52405, 50918, 53381, 52208, 53559, 50983, 54106, 50983, 56590, 50983, 52165, 50845, 57873, 50845, 51705, 56036, 54200, 52959, 52864, 53706, 50845, 51705, 51370, 57572, 52405, 55834, 55533, 50845, 51705, 56962, 53889, 51331, 52605, 53559, 51358, 54106, 51358, 55951, 51358, 52165, 50845, 57873, 50915, 51705, 56962, 51437, 52446, 51811, 50807, 51705, 51428, 52959, 52815, 52165, 50845, 53706, 50845, 53262, 56036, 51437, 59414, 51811, 52728, 51733, 50807, 51385, 50810, 55533, 50845, 51705, 68339, 72471, 53889, 51331, 61157, 51546, 52863, 52165, 50845, 57873, 50845, 53262, 56962, 51437, 58565, 51733, 50807, 50799, 52405, 51358, 53009, 51552, 53282, 50795, 56590, 72134, 50845, 57873, 50845, 51522, 56036, 54200, 52959, 52864, 53559, 50795, 59906, 50795, 51546, 50845, 53706, 50845, 51522, 51370, 57572, 52405, 74612, 54106, 50795, 61069, 50795, 52165, 50845, 55533, 50845, 51522, 56962, 53889, 51331, 52605, 53564, 50923, 55951, 50806, 50654, 50334, 50806, 52828, 50845, 57873, 50915, 51560, 56962, 51437, 50805, 51450, 52959, 52815, 51733, 50807, 53022, 50923, 55439, 50806, 59940, 50806, 52165, 50845, 53706, 50845, 51493, 56036, 51437, 52596, 55533, 79966, 72471, 53889, 51331, 61157, 51733, 53312, 54294, 51029, 53381, 52097, 54106, 51285, 61069, 51285, 57873, 50915, 52165, 51115, 51705, 58750, 53270, 50849, 51528, 52959, 60770, 54294, 58823, 53706, 50845, 51705, 56962, 51437, 52483, 53089, 50795, 55533, 50845, 51705, 58750, 53889, 51331, 52605, 52838, 50807, 53381, 51527, 53559, 51196, 59906, 51196, 57873, 50915, 52165, 51115, 50965, 51437, 57807, 53089, 51646, 51705, 56036, 54200, 52959, 60132, 52838, 53218, 52405, 50983, 53706, 50845, 52318, 50795, 51553, 56827, 51385, 50810, 55533, 50915, 51560, 68339, 72471, 53889, 55680, 52405, 50983, 51546, 52863, 52165, 50845, 51705, 56962, 53889, 50812, 53206, 50803, 50799, 52405, 51036, 53564, 51091, 53282, 51091, 54106, 51091, 56590, 51091, 57873, 50845, 51560, 56036, 54200, 59515, 52774, 53706, 50845, 51560, 51370, 57572, 52405, 61899, 52165, 50845, 55533, 50845, 51560, 56962, 53889, 51331, 52605, 53022, 50918, 53559, 50918, 54106, 50918, 56590, 50918, 57873, 50915, 51493, 56962, 51437, 52446, 51493, 51428, 52959, 52815, 52165, 50845, 53706, 50845, 51493, 56036, 51437, 52596, 55533, 50845, 51493, 68339, 72471, 53889, 51331, 52961, 57873, 50845, 51493, 56962, 51437, 50805, 50799, 52405, 50918, 53381, 52208, 53559, 50983, 54106, 50983, 56590, 50983, 52165, 50845, 57873, 50845, 51705, 56036, 54200, 52959, 52864, 53706, 50845, 51705, 51370, 57572, 52405, 55834, 55533, 50845, 51705, 56962, 53889, 51331, 52605, 53559, 51358, 54106, 51358, 55951, 51358, 52165, 50845, 57873, 50915, 51705, 56962, 51437, 52446, 51811, 50807, 51705, 51428, 52959, 52815, 52165, 50845 ]
[ 0, 250, 15855, 1619, 2125, 4246, 13305, 6, 769, 196, 6757, 6, 21072, 6, 24896, 6, 8, 38668, 2236, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 11098, 8, 7125, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 16906, 352, 226, 22740, 20889, 4, 20, 33215, 16739, 9, 381, 6, 83, 6, 381, 73, 387, 6, 8, 163, 406, 31473, 10, 2950, 8, 17627, 17274, 619, 7, 5, 15229, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 52552, 50627, 54812, 50924, 51667, 50924, 53580, 50924, 56293, 51710, 50301, 51710, 50305, 64608, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 51011, 51073, 50843, 53829, 56213, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 73662, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56266, 56638, 50884, 51034, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 51073, 51011, 51896, 61260, 50884, 52399, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 53230, 50843, 53418, 55343, 50924, 51667, 50924, 52491, 50924, 56293, 51710, 50301, 73022, 64608, 73979, 50924, 62396, 50924, 58165, 50924, 54628, 50924, 62545, 54593, 53759, 53806, 53077, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 64469, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56007, 50924, 67370, 50884, 51034, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 51073, 51011, 51472, 61260, 50884, 52399, 53150, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 79952, 53759, 53230, 50843, 53418, 55602, 51073, 51667, 51073, 52228, 51073, 56167, 51073, 51120, 64209, 70148, 51073, 51114, 51073, 70283, 51073, 55172, 51073, 54628, 51073, 63213, 51073, 50927, 79952, 53347, 53806, 50804, 53759, 50884, 51034, 55343, 51073, 51667, 51073, 53880, 50879, 58166, 51073, 51027, 51710, 50296, 70148, 69920, 51073, 62396, 50924, 50671, 50296, 51073, 54628, 51073, 62545, 51073, 51019, 51896, 61260, 53829, 53580, 51710, 50305, 50924, 69334, 58786, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 58166, 51073, 51315, 51073, 50916, 70148, 69920, 51073, 50671, 50296, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 53230, 50843, 53418, 56213, 51073, 52185, 51073, 52228, 51073, 58166, 51073, 51315, 64209, 60747, 51073, 50973, 51073, 50671, 50296, 51073, 55172, 51073, 56732, 51073, 56266, 58668, 53759, 50884, 52129, 53347, 50884, 51034, 54812, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 51011, 51896, 61260, 50884, 52399, 53150, 54812, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 62396, 51073, 69334, 51073, 54628, 79952, 53759, 53230, 50843, 53418, 54812, 50924, 51667, 50924, 53580, 50924, 56293, 51710, 50301, 51710, 50305, 64608, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 61260, 53806, 56213, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 73662, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56266, 54593, 53347, 50884, 51034, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 51073, 51011, 51896, 61260, 50884, 52399, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 53230, 50843, 53418, 55343, 50924, 51667, 50924, 52491, 50924, 56293, 51710, 50301, 73022, 64608, 73979, 50924, 62396, 50924, 58165, 50924, 54628, 50924, 62545, 54593, 53759, 53806, 53077, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 64469, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56007, 50924, 67370, 50884, 51034, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 51073, 51011, 51472, 61260, 50884, 52399, 53150, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 79952, 53759, 53230, 50843, 53418, 55602, 51073, 51667, 51073, 52228, 51073, 56167, 51073, 51120, 64209, 70148, 51073, 51114, 51073, 70283, 51073, 55172, 51073, 54628, 51073, 63213, 51073, 50927, 51073, 67370, 53806, 50804, 53759, 50884, 51034, 55343, 51073, 51667, 51073, 53880, 50879, 58166, 51073, 51027, 51710, 50296, 70148, 69920, 51073, 62396, 50924, 50671, 50296, 51073, 54628, 51073, 62545, 51073, 51019, 51896, 61260, 53829, 53580, 51710, 50305, 50924, 69334, 58786, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 58166, 51073, 51315, 51073, 50916, 70148, 69920, 51073, 50671, 50296, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 50884, 51974, 53759, 53418, 56213, 51073, 52185, 51073, 52228, 51073, 58166, 51073, 51315, 64209, 60747, 51073, 50973, 51073, 50671, 50296, 51073, 55172, 51073, 56732, 51073, 56266, 58668, 53759, 50884, 52129, 53347, 50884, 51057, 54812, 51472, 51667, 51472, 53580, 51472, 56293, 51472, 51027, 51472, 51040, 51472, 50877, 51472, 62396, 51472, 69334, 51472, 54628, 51472, 51011, 51472, 58863, 57560, 53150, 51224, 56710, 51224, 53230, 51326, 55486, 51326, 50884, 52552, 54985, 50924, 51667, 50924, 53580, 50924, 56293, 50924, 55205, 50924, 51855, 50924, 53444, 50924, 69580, 51710, 50301, 51710, 50305, 64608, 51710, 50325, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 57010, 50924, 51011, 58668, 57590, 53829, 56853, 50924, 51667, 50924, 53580, 50924, 56293, 50924, 57684, 50924, 51855, 50924, 53444, 50924, 69580, 51710, 50301, 51710, 50305, 64608, 51710, 50324, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 73292, 50924, 51326, 57590, 50884, 51034, 55602, 51073, 51667, 51073, 52228, 51073, 55910, 51073, 56553, 51073, 51855, 51073, 52123, 51073, 57337, 64209, 70148, 51073, 51114, 51073, 55172, 51073, 54628, 51073, 63213, 51073, 51271, 51472, 62393, 50884, 53158, 53150, 55602, 51073, 51667, 51073, 52228, 51073, 55910, 51073, 56553, 51073, 51855, 51073, 52123, 51073, 57337, 64209, 70148, 51073, 51114, 51073, 55172, 51073, 54628, 51073, 63213, 79952, 52990, 53230, 50856, 53418, 54985, 51073, 51633, 51073, 52891, 51073, 56167, 51073, 55205, 51073, 52086, 51073, 52089, 51073, 50742, 50294, 51073, 51120, 74972, 73642, 51073, 50999, 51073, 70283, 51073, 59502, 51073, 56007, 51073, 57010, 51073, 50927, 79952, 52990, 53806, 69773, 51034, 53771, 51073, 52226, 51073, 52172, 51073, 56293, 51073, 54426, 51073, 52655, 51073, 51584, 51073, 69580, 51073, 51027, 70148, 69920, 51073, 50968, 51073, 62396, 51073, 54628, 51073, 62545, 51073, 55687, 51073, 51011, 51896, 62393, 50884, 53158, 53150, 53771, 51073, 52226, 51073, 53880, 51073, 56293, 51073, 54426, 51073, 52655, 51073, 54445, 51073, 69580, 51073, 51027, 69920, 51073, 50968, 51073, 62396, 51073, 62545, 51073, 55687, 79952, 52990, 53230, 50856, 53418, 55602, 51238, 51667, 51073, 53580, 51073, 56293, 51073, 56553, 51238, 51855, 51073, 53444, 51073, 69580, 51073, 51114, 51215, 51027, 75350, 70148, 51073, 63213, 51215, 62396, 51073, 69334, 51073, 54628, 79952, 52990, 53806, 50804, 52990, 55888, 53771, 50859, 54426, 50859, 79945, 55687, 50859, 51034, 54812, 51073, 51667, 51073, 53580, 51073, 61092, 51073, 54776, 51073, 51855, 51073, 53444, 51073, 75313, 51073, 51378, 75350, 70148, 51073 ]
[ 0, 250, 182, 1769, 8, 765, 37903, 9, 5175, 15855, 930, 4246, 10, 13305, 6, 7630, 14805, 10, 2933, 8, 20425, 6711, 10686, 13, 822, 4, 85, 18, 11, 5, 762, 9, 230, 538, 19, 10, 881, 21263, 9, 5, 33215, 16739, 230, 6, 211, 119, 6, 272, 6, 8, 274, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 50871, 54177, 50877, 54869, 50876, 55665, 50871, 52718, 50877, 53624, 50877, 52985, 50877, 53581, 50877, 50838, 54960, 54177, 50861, 52688, 50861, 53052, 50861, 52718, 50989, 53624, 50861, 52985, 50877, 53581, 50906, 50932, 52591, 50861, 55665, 50861, 56350, 50877, 52985, 50906, 56109, 50877, 50932, 52591, 50861, 55665, 50876, 56350, 50876, 52985, 50906, 53581, 50906, 50932, 52591, 50877, 55665, 50861, 56350, 50861, 52985, 50877, 53581, 50906, 50932, 52591, 50877, 55665, 50861, 56350, 50876, 53581, 50876, 50932, 52591, 50906, 55665, 50906, 56350, 50877, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 13363, 28191, 5175, 25771, 2125, 14, 36193, 5, 30443, 7, 10, 3366, 219, 6, 23975, 2369, 18795, 4, 590, 10, 7212, 20889, 8, 278, 11, 5, 762, 9, 230, 538, 6, 5, 2214, 1575, 10, 13305, 6, 6755, 12547, 6, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 8, 274, 119, 1176, 406, 3639, 7, 5, 33535, 13569, 9862, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50791, 50887, 51544, 50887, 51570, 52955, 56372, 52354, 52466, 52715, 73628, 56299, 50945, 51805, 50890, 52389, 51331, 54334, 50964, 51331, 50887, 51556, 50880, 53357, 52466, 51331, 50890, 51572, 56312, 50945, 51805, 54411, 50798, 52715, 54647, 50964, 51331, 50880, 51621, 50890, 52354, 76933, 50880, 51402, 56731, 50945, 51805, 50887, 52389, 51805, 56629, 50964, 51331, 50890, 51556, 50880, 53357, 52466, 52715, 69867, 57782, 50945, 51805, 53595, 50798, 52715, 55577, 50964, 51331, 50890, 51621, 50961, 52354, 53236, 52715, 53291, 75970, 51903, 54475, 50832, 54446, 50945, 52715, 51989, 50862, 52389, 52715, 53291, 50839, 51999, 54215, 50964, 52715, 51989, 74647, 52273, 50862, 53357, 53236, 51331, 51903, 50839, 51572, 52240, 54247, 50832, 54525, 50945, 51805, 51989, 53938, 50798, 52715, 53616, 50862, 52145, 54319, 50964, 51331, 51989, 50839, 51621, 53716, 50862, 52354, 52466, 52715, 51989, 75970, 53716, 54475, 50832, 54446, 62890, 67183, 50862, 52389, 51805, 53616, 50839, 51999, 54215, 50964, 52715, 53616, 74647, 53716, 50862, 53357, 76933, 53616, 50839, 51572, 53716, 54247, 50832, 54525, 50945, 51805, 52273, 53938, 50798, 52715, 53616, 50862, 52145, 54319, 71155, 67183, 50839, 51621, 52273, 50862, 71756, 50976, 52233, 52122, 51821, 52122, 51701, 52122, 50900, 56736, 50871, 53520, 50877, 54834, 50945, 52466, 51331, 53616, 56813, 51050, 56094, 51402, 53716, 53227, 50832, 54446, 50945, 51805, 53716, 53901, 51643, 51599, 53451, 56214, 53291, 50839, 51999, 54215, 51667, 50811, 50964, 51331, 51989, 74647, 52273, 62517, 51643, 51300, 53357, 76933, 51989, 50839, 51572, 53616, 54247, 50832, 54525, 50945, 51805, 53616, 53938, 50798, 52865, 56214, 62024, 52145, 54319, 50964, 54589, 53616, 50839, 51621, 53716, 50862, 52354, 52466, 52715, 52240, 75970, 53616, 54475, 50832, 54446, 50945, 51805, 53291, 50862, 52389, 53451, 56214, 51989, 56344, 51643, 50803, 51999, 54215, 50964, 52715, 53616, 56802, 51643, 62922, 53616, 50862, 53357, 52466, 52715, 53616, 57927, 51993, 80127, 53291, 54247, 50832, 57740, 51993, 72992, 50945, 51805, 53616, 53068, 51050, 51048, 50900, 51460, 50871, 58571, 53451, 56214, 53616, 65780, 50877, 51112, 52145, 54319, 51993, 71912, 51331, 51903, 50839, 51621, 53716, 50862, 65755, 51352, 54064, 52122, 52016, 52122, 51186, 52466, 52715, 51903, 56813, 50899, 56094, 50871, 56094, 51234, 55068, 50997, 58690, 50877, 53520, 51402, 53716, 54475, 50832, 54446, 51186, 51805, 53616, 50862, 52389, 53451, 56214, 51903, 50839, 51999, 54215, 50945, 51331, 53291, 74647, 53616, 53894, 51186, 52466, 52715, 53291, 50862, 51572, 53291, 54247, 50832, 54525, 51186, 51805, 53291, 53938, 50798, 52865, 55968, 62024, 52145, 54319, 50945, 51331, 53616, 50839, 51621, 53716, 50862, 54516, 76933, 52546, 75970, 53616, 54475, 50832, 54446, 51186, 51805, 53291, 50862, 52389, 53451, 56214, 53291, 50862, 51999, 54215, 50945, 51331, 51989, 74647, 53616, 53894, 51186, 76933, 51903, 50839, 51572, 53616, 54247, 50832, 54525, 51186, 51805, 53291, 53938, 50798, 53451, 52964, 53696, 74784, 54319, 51186, 51331, 53291, 50839, 51621, 53291, 50862, 71756, 50803, 52233, 52122, 51821, 52122, 51050, 54834, 50900, 59939, 50871, 56094, 50877, 56736, 50945, 76933, 52546, 56813, 51701, 52122, 51402, 53291, 54475, 51643, 51880, 54446, 50945, 51805, 53696, 53901, 51643, 52466, 52865, 55968, 53696, 50839, 51999, 54215, 50964, 51331, 51903, 56802, 51667, 62922, 53616, 60723, 51643, 51029, 53357, 51520, 52715, 51903, 50839, 51572, 53696, 54247, 50832, 54525, 50945, 51805, 53291, 53938, 50798, 53451, 52964, 62024, 52145, 54319, 50964, 51331, 51989, 50839, 51621, 53291, 50862, 52354, 52466, 52715, 53291, 75970, 53291, 54475, 50832, 55946, 50945, 51805, 53696, 53901, 51643, 51670, 53451, 63067, 52546, 50862, 51999, 54215, 51643, 69583, 51331, 53291, 74647, 53616, 53894, 51993, 50811, 50945, 51520, 52715, 53291, 50839, 51572, 53696, 54247, 50832, 64684, 51993, 72992, 50945, 51805, 53696, 53068, 51050, 51500, 50900, 50975, 50871, 51603, 50798, 51812, 52964, 53696, 65780, 50877, 51238, 52145, 54319, 50945, 51331, 53291, 58544, 51633, 51795, 51621, 53716, 50862, 50799, 54064, 52122, 52016, 52122, 51234, 55428, 50899, 57676, 50877, 56300, 50871, 56300, 51186, 52466, 52715, 52546, 56813, 50997, 54217, 51402, 53616, 54475, 50832, 54446, 51186, 51805, 53291, 50862, 52389, 51812, 62003, 53291, 50839, 51999, 54215, 50945, 51331, 53616, 74647, 53716, 52950, 51186, 51520, 51331, 51989, 50839, 51572, 51989, 54247, 50832, 56112, 51186, 51805, 53616, 53938, 50798, 53451, 56214, 53616, 74784, 54319, 50945, 51331, 53616, 50839, 51621, 53616, 50862, 54516, 52466, 52715, 53291, 50862, 51402, 51989, 54475, 50832, 55946, 51186, 51805, 53616, 50862, 52389, 53451, 62003, 52546, 50862, 51999, 54215, 50945, 51331, 53616, 74647, 53616, 53894, 51186, 52466, 52715, 51989, 50839, 51572, 53716, 54247, 50832, 56112, 51186, 51805, 53616, 53938, 51633, 76557, 51603, 50899, 51227, 50877, 51112, 51234, 74340, 67774, 53451, 52964, 51903, 74784, 54319, 51993, 71912, 54589, 51989, 50839, 51621, 53616, 57335, 52233, 51353, 50799, 52372, 50860, 51678, 51353, 55500, 51353, 52091, 51353, 51279, 52069, 50861, 52536, 50900, 53241, 50916, 52500, 51027, 53241, 51133, 51520, 51331, 51903, 75970, 52240, 53227, 50832, 54446, 52372, 50823, 51133, 51805, 53616, 50839, 52389, 53451, 56214, 51903, 50839, 51999, 52925, 52372, 50803, 65715, 53616, 74647, 53616, 53894, 52372, 50860, 51133, 51520, 52715, 53291, 50839, 51572, 53616, 54247, 50832, 54525, 53128, 50860, 51133, 52715, 53291, 53938, 50798, 51812, 52964, 53291, 74784, 64405, 52372, 52163, 65715, 52546, 50839, 51621, 53616, 59496, 51821, 51353, 71025, 50975, 54064, 51353, 52016, 52069, 51701, 51353, 51026, 51685, 50997, 52282, 50871, 51977, 51214, 51692, 50899, 51977, 51186, 51520, 52715, 51903, 75970, 53291, 54475, 50832, 54446, 51633, 51029, 51186, 51805, 53291, 50862, 52389, 51812, 56214, 53696, 50839, 51999, 54215, 50945, 51331, 53291, 74647, 53616, 53894, 51186, 51520, 54589, 53291, 50839, 51572, 53616, 54247, 50832, 57854, 50989, 54847, 51186, 51805, 53616, 53938, 51633, 76557, 50993, 50899, 51460, 50877, 51238, 50871, 66810, 53451, 52964, 51903, 57143, 51234, 51157, 52145, 54319, 51993, 71912, 51331, 53291, 50839, 51621, 51700, 50862, 50799, 55500, 51353, 52233, 52069, 51678, 51353, 52091, 51353, 50900, 53435, 50916, 52500, 50861, 52392, 51133, 51520, 52715, 51989, 56813, 52372, 50823, 51279, 51359, 51027, 53435, 51402, 53616, 54475, 50832, 54446, 52372, 50823, 51133, 51805, 53616, 50862, 52389, 51812, 52964, 53696, 50839, 51999, 61721, 52372, 54179, 65715, 53616, 74647, 56330, 53894, 51133, 52466, 51331, 53616, 57927, 52372, 50823, 51572, 53616, 54247, 50832, 54525, 53128, 74082, 50860, 67183, 53938, 50798, 53451, 56214, 51903, 74784, 61171, 52372, 52163, 65715, 53616, 50839, 51621, 53716, 59496, 51701, 51353, 51821, 52122, 77881, 71025, 51407, 51120, 52379, 50899, 52500, 50877, 51605, 50871, 52536, 50927, 52466, 52715, 51989, 75970, 53616, 54475, 50832, 54446, 50927, 52715, 53616, 50862, 52389, 53451, 52964, 53616, 50839, 51999, 54215, 51069, 52715, 52240, 74647, 52240, 50862, 53758, 52466, 51331, 51989, 50862, 51572, 53291, 54247, 50832, 54525, 50927, 51805, 53616, 53938 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 11, 381, 3694, 6, 4246, 10, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 17035, 873, 2401, 6, 8, 1515, 21305, 6, 42, 15229, 7630, 6568, 10, 25306, 5466, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 19, 10, 1472, 9, 4149, 8, 11926, 6, 15760, 14133, 30, 9066, 8, 814, 12, 13268, 3423, 4, 20, 33215, 16739, 9, 1918, 6, 3676, 6, 83, 406, 6, 1918, 6, 8, 3676, 3639, 7, 63, 13363, 28191, 7122, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 51284, 52096, 51558, 52096, 51733, 52096, 51888, 52096, 52515, 52096, 54063, 52096, 57489, 52096, 51686, 52096, 52156, 52096, 52433, 52096, 52130, 52096, 50799, 59813, 50905, 50711, 50284, 55126, 57921, 50905, 67792, 54335, 59813, 50905, 50711, 50284, 54342, 57921, 50905, 67792, 54137, 59813, 50905, 50711, 50284, 55103, 57921, 50905, 67792, 54323, 59813, 50905, 50711, 50284, 54509, 57921, 50905, 67792, 50905, 70321, 50822, 54246, 50822, 59813, 50905, 54120, 50822, 50711, 50284, 67943, 69651, 52355, 50822, 52155, 53728, 51357, 50822, 52824, 50822, 57921, 50905, 52202, 50822, 67792, 61544, 51107, 50822, 51900, 50822, 51596, 52921, 51266, 50822, 52285, 50822, 59813, 50905, 51789, 50822, 50711, 50284, 65005, 51107, 50822, 51900, 50822, 51596, 53193, 51357, 50822, 52824, 50822, 57921, 50905, 52202, 50822, 67792, 60282, 69651, 52355, 50822, 52155, 52691, 51266, 50822, 52285, 50822, 59813, 50905, 51789, 50822, 50711, 50284, 70140, 51284, 50822, 52515, 50822, 51686, 53743, 51558, 50822, 54063, 50822, 57921, 50905, 52156, 50822, 67792, 61554, 51384, 50822, 53993, 50822, 51886, 53140, 51733, 50822, 57489, 50822, 59813, 50905, 52433, 50822, 50711, 50284, 67763, 51384, 50822, 53993, 50822, 51886, 53820, 51558, 50822, 54063, 50822, 57921, 50905, 52156, 50822, 67792, 60864, 51284, 50822, 52515, 50822, 51686, 50822, 50799, 51733, 50912, 57489, 50912, 59813, 50905, 52433, 50912, 50711, 50284, 67943, 51558, 50912, 54063, 50912, 52156, 55869, 51284, 50851, 52515, 50851, 57921, 50905, 51686, 50851, 67792, 61544, 51266, 50851, 52285, 50851, 51789, 53220, 51733, 50851, 57489, 50851, 59813, 50905, 52433, 50851, 50711, 50284, 65005, 51558, 50851, 54063, 50851, 52156, 54150, 51284, 50851, 52515, 50851, 57921, 50905, 51686, 50851, 67792, 60282, 51266, 50851, 52285, 50851, 51789, 53269, 51733, 50851, 57489, 50851, 59813, 50905, 52433, 50851, 50711, 50284, 70140, 51558, 50851, 54063, 50851, 52156, 54478, 51284, 50827, 52515, 50827, 57921, 50905, 51686, 50827, 67792, 61554, 51266, 50827, 52285, 50827, 51789, 52989, 51733, 50827, 57489, 50827, 59813, 50905, 52433, 50827, 50711, 50284, 67763, 51558, 50827, 54063, 50827, 52156, 53176, 51284, 50827, 52515, 50827, 57921, 50905, 51686, 50827, 67792, 60864, 51266, 50827, 52285, 50827, 51789, 50827, 50799, 51733, 50827, 57489, 50827, 59813, 50905, 52433, 50827, 50711, 50284, 67943, 51558, 50874, 54063, 50874, 52156, 54448, 51284, 50874, 52515, 50874, 57921, 50905, 51686, 50874, 67792, 61544, 51266, 50874, 52285, 50874, 51789, 53881, 51733, 50874, 57489, 50874, 59813, 50905, 52433, 50874, 50711, 50284, 65005, 51558, 50874, 54063, 50874, 52156, 54221, 51284, 50874, 52515, 50874, 57921, 50905, 51686, 50874, 67792, 60282, 51266, 50874, 52285, 50874, 51789, 54123, 51284, 50995, 51558, 50995, 51733, 50995, 52515, 50995, 54063, 50995, 57489, 50995, 59813, 50905, 51686, 50995, 52156, 50995, 52433, 50995, 50711, 50284, 55103, 57921, 50905, 67792, 54323, 77395, 51113, 50905, 55008, 50905, 52355, 50905, 59813, 50905, 57624, 50905, 52155, 50905, 50711, 50284, 54509, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 57921, 50905, 54809, 50905, 52202, 50905, 67792, 50905, 70321, 51318, 51093, 51318, 54246, 51318, 51784, 51318, 59813, 50905, 54120, 51318, 51752, 51318, 50711, 50284, 55126, 57921, 50905, 67792, 54335, 59813, 50905, 50711, 50284, 54342, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 57921, 50905, 54809, 50905, 52202, 50905, 67792, 54137, 51301, 51318, 51093, 51318, 54246, 51318, 51784, 51318, 59813, 50905, 54120, 51318, 51752, 51318, 50711, 50284, 55103, 57921, 50905, 67792, 54323, 59813, 50905, 50711, 50284, 54509, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 57921, 50905, 54809, 50905, 52202, 50905, 67792, 50905, 70321, 50905, 75491, 54246, 50905, 51784, 50905, 57921, 51447, 62844, 51447, 54120, 50905, 51752, 50905, 67792, 51447, 53064, 51447, 50420, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 54809, 50905, 52202, 54335, 51299, 51148, 51113, 51148, 55008, 51148, 52355, 51148, 57624, 51148, 52155, 65680, 55120, 51314, 63056, 51314, 66207, 51314, 52665, 51314, 50450, 77395, 51113, 50905, 55008, 50905, 52355, 50905, 57624, 50905, 52155, 54509, 69435, 51266, 50905, 52278, 50905, 52285, 50905, 52182, 50905, 51789, 50905, 50799, 51491, 50905, 77473, 54219, 50905, 51900, 50905, 60630, 51080, 61277, 51080, 54027, 50905, 51596, 50905, 50711, 50291, 51080, 56117, 62557, 69651, 52355, 50822, 52155, 54252, 51107, 50822, 51900, 50822, 51596, 52921, 51266, 50905, 52285, 50905, 51789, 54342, 51107, 50822, 51900, 50822, 51596, 54378, 51266, 50822, 52285, 50822, 51789, 52691, 51284, 51337, 52515, 51337, 59813, 51244, 57921, 51244, 51686, 51337, 50711, 50284, 51244, 67792, 51244, 50446, 51301, 51337, 51093, 51337, 54246, 51337, 51784, 51337, 54120, 51337, 51752, 51337, 50454, 51088, 51337, 51266, 51337, 52278, 51337, 52285, 51337, 52182, 51337, 51789, 51337, 70526, 51148, 51107, 51148, 52714, 51148, 51900, 51148, 56847, 51097, 58890, 51097, 53124, 51148, 51596, 51148, 50711, 50289, 51097, 55308, 60324, 56847, 51097, 58890, 51097, 50711, 50289, 51097, 55308, 57937, 51301, 50995, 51093, 50995, 54246, 50995, 51784, 50995, 56847, 51097, 58890, 51097, 54120, 50995, 51752, 50995, 50711, 50289, 51097, 55308, 59124, 51251, 50995, 78256, 54108, 50995, 52186, 50995, 56847, 51097, 58890, 51097, 54809, 50995, 52315, 50995, 50711, 50289, 51097, 55308, 51097, 70321, 50905, 75491, 54246, 50905, 51784, 50905, 56847, 51097, 58890, 51097, 54120, 50905, 51752, 50905, 50711, 50289, 51097, 55308, 73318, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 54809, 50905, 52202, 54335, 51299, 51662, 51113, 51662, 55008, 51662, 52355, 51662, 56847, 51097, 58890, 51097, 57624, 51662, 52155, 51662, 50711, 50289, 51097, 55308, 57937, 56847, 51097, 58890, 51097, 50711, 50289, 51097, 55308, 59124, 56847, 51097, 58890, 51097, 50711, 50289, 51097, 55308, 51097, 70321, 50905, 75491, 54246, 50905, 51784, 50905, 55120, 51097, 63056, 51097, 54120, 50905, 51752, 50905, 66207, 51097, 52665, 73318, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 54809, 50905, 52202, 54335, 51299, 51148, 51113, 51148, 55008, 51148, 52355, 51148, 55120, 51097, 63056, 51097, 57624, 51148, 52155, 51148, 66207, 51097, 52665, 57937, 55120, 51097, 63056, 51097, 66207, 51097, 52665, 59124, 77395, 51113, 50905, 55008, 50905, 52355, 50905, 55120, 51097, 63056, 51097, 57624, 50905, 52155, 50905, 66207, 51097, 52665, 62214, 69435, 51266, 50905, 52278, 50905, 52285, 50905, 52182, 50905, 51789, 50905, 50799, 51491, 50905, 77473, 54219, 50905, 51900, 50905, 55120, 51097, 63056, 51097, 54027, 50905, 51596, 50905, 66207, 51097, 52665, 73318, 69651, 51913, 50827, 52355, 50822, 52155, 50822, 52521, 53591, 51107, 50822, 51913, 50827, 51900, 50822, 51596, 50822, 52521, 52580, 51266, 50905, 51913, 50827, 52285, 50905, 55120, 51097, 63056, 51097, 51789, 50905, 66207, 51097, 52665, 51097, 52521, 54889, 51913, 50827, 52521, 52739, 51107, 50822, 51913, 50838, 51900, 50822, 51596, 50822, 52521, 56784, 51266, 50822, 52285, 50822, 51789, 52691, 51284, 51337, 52515, 51337, 55120, 51097, 63056, 51097, 51686, 51337, 66207, 51097, 52665, 51097, 50446, 51301, 51337 ]
[ 0, 250, 15352, 30054, 8, 1372, 3495, 8, 5175, 2214, 19, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 6755, 12547, 6, 3459, 9590, 6, 13602, 6757, 6, 8, 23338, 33518, 1264, 4, 85, 18, 11, 5, 762, 9, 274, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8757, 741, 1685, 4, 20, 1049, 33215, 16739, 16, 274, 10431, 6, 2060, 119, 6, 230, 10431, 6, 274, 10431, 6, 2060, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50903, 50962, 51768, 54077, 50903, 50867, 51955, 50867, 60859, 50962, 51768, 54077, 50903, 54434, 51726, 50864, 51265, 50886, 52593, 68465, 51726, 50864, 79101, 51598, 62034, 51726, 71251, 50822, 51875, 50845, 50799, 51265, 52015, 51195, 52168, 52607, 52015, 50444, 51726, 50904, 79101, 52593, 53562, 51726, 71251, 50867, 51598, 55670, 51726, 50822, 51265, 50822, 51875, 50845, 50799, 51265, 51145, 51195, 51314, 52607, 76619, 51726, 50904, 51265, 50813, 52593, 68465, 51726, 50886, 60317, 51598, 68464, 51726, 50971, 51265, 50827, 51875, 50845, 50799, 51990, 51592, 51545, 52140, 53204, 53142, 50420, 52527, 53935, 52527, 54215, 52527, 54606, 52527, 76019, 52721, 65295, 52840, 68464, 51971, 51111, 50799, 52527, 51422, 53603, 51269, 53815, 51269, 52867, 64080, 53603, 51269, 53815, 51269, 52867, 58844, 53603, 51269, 53815, 51269, 52867, 67776, 51736, 53603, 51269, 53815, 51269, 52867, 61929, 53603, 51269, 53815, 51269, 52867, 62622, 53603, 51269, 53815, 51269, 52867, 60205, 53603, 51269, 53815, 51269, 52867, 62082, 52593, 50873, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 53204, 51313, 53603, 51269, 53815, 51269, 52867, 64080, 52527, 50867, 53603, 51269, 53815, 51269, 52867, 58844, 52527, 50862, 53603, 51269, 53815, 51269, 52867, 51269, 54407, 50432, 52527, 50834, 53603, 51269, 53815, 51269, 52867, 70855, 52527, 54014, 53603, 51269, 53815, 51269, 52867, 51269, 50441, 52527, 53162, 52527, 50886, 53603, 51269, 53815, 51269, 52867, 51269, 50447, 52527, 53674, 50450, 51971, 50901, 53603, 51269, 53815, 51269, 52867, 62082, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 52840, 51267, 53281, 51269, 54575, 51269, 54466, 64080, 53281, 51269, 54575, 51269, 54466, 58844, 53037, 50812, 53281, 51269, 54575, 51269, 54466, 60816, 53037, 51591, 53281, 51269, 54575, 51269, 54466, 61929, 53281, 51269, 54575, 51269, 54466, 62622, 53281, 51269, 54575, 51269, 54466, 60205, 53281, 51269, 54575, 51269, 54466, 62082, 52426, 50845, 53281, 51269, 54575, 51269, 54466, 51269, 50799, 55213, 52015, 53281, 51269, 54575, 51269, 54466, 64080, 53281, 51269, 54575, 51269, 54466, 58844, 52840, 51000, 53281, 51269, 54575, 51269, 54466, 51269, 54407, 50432, 52840, 50854, 53281, 51269, 54575, 51269, 54466, 61929, 52840, 50854, 53281, 51269, 54575, 51269, 54466, 62622, 52840, 51101, 53281, 51269, 54575, 51269, 54466, 60205, 52721, 50845, 53281, 51269, 54575, 51269, 54466, 62082, 52280, 50812, 53281, 51269, 54575, 51269, 54466, 79207, 52721, 51151, 50799, 53603, 51269, 53815, 51269, 52867, 64080, 53603, 51269, 53815, 51269, 52867, 58844, 53603, 51269, 53815, 51269, 52867, 60816, 53603, 51269, 53815, 51269, 52867, 61929, 53603, 51269, 53815, 51269, 52867, 62622, 53603, 51269, 53815, 51269, 52867, 60205, 53603, 51269, 53815, 51269, 52867, 62082, 52593, 50978, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 53204, 52222, 53603, 51269, 53815, 51269, 52867, 64080, 53603, 51269, 53815, 51269, 52867, 58844, 52721, 51177, 53603, 51269, 53815, 51269, 52867, 51269, 54407, 50432, 52840, 50959, 53603, 51269, 53815, 51269, 52867, 70855, 52527, 72759, 53603, 51269, 53815, 51269, 52867, 62622, 52527, 51101, 53603, 51269, 53815, 51269, 52867, 60205, 52840, 51212, 53603, 51269, 53815, 51269, 52867, 62082, 52721, 51277, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 55213, 52256, 52840, 51003, 53281, 51269, 54575, 51269, 54466, 64080, 53281, 51269, 54575, 51269, 54466, 58844, 52280, 51100, 53281, 51269, 54575, 51269, 54466, 60816, 55213, 51142, 52721, 51008, 53281, 51269, 54575, 51269, 54466, 70855, 52840, 58346, 52593, 51391, 53815, 51269, 53125, 51269, 54466, 62622, 52840, 51101, 53815, 51269, 53125, 51269, 54466, 60205, 52721, 50901, 53815, 51269, 53125, 51269, 54466, 67776, 58774, 52593, 51174, 52280, 50917, 53815, 51269, 53125, 51269, 54466, 51269, 50799, 53204, 50837, 53204, 50834, 52721, 50942, 53603, 51269, 53815, 51269, 52867, 64080, 52527, 50864, 53603, 51269, 53815, 51269, 52867, 58844, 52527, 50833, 53603, 51269, 53815, 51269, 52867, 50366, 58290, 54216, 52527, 50855, 53603, 51269, 53815, 51269, 52867, 50366, 58290, 55782, 52527, 78259, 53603, 51269, 53815, 51269, 52867, 72348, 55384, 51456, 54247, 52721, 51177, 53603, 51269, 53815, 51269, 52867, 51269, 50447, 51456, 53688, 52840, 51177, 53603, 51269, 53815, 51269, 52867, 50366, 55801, 54583, 52593, 50805, 51971, 51060, 53603, 51269, 53815, 51269, 52867, 51269, 51042, 51297, 50944, 51297, 51298, 51297, 50935, 50366, 53221, 50834, 50799, 53204, 50874, 52527, 51183, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 51297, 51298, 50366, 52526, 53223, 53204, 50844, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50421, 50935, 51297, 51042, 51297, 51298, 61288, 53603, 51269, 53815, 51269, 52867, 63329, 52749, 52593, 51006, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 51297, 51298, 61389, 53204, 50827, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 51297, 51298, 60226, 53204, 50827, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 50445, 51042, 60258, 53603, 51269, 53815, 51269, 52867, 63329, 54424, 52593, 50978, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 51042, 51297, 50799, 53204, 50851, 53603, 51269, 53815, 51269, 52867, 51269, 50935, 51297, 51298, 51297, 50944, 51297, 51042, 59338, 53204, 51051, 52527, 50862, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50421, 51298, 51297, 50935, 61288, 52527, 50836, 53603, 51269, 53815, 51269, 52867, 63329, 53695, 52593, 50978, 52527, 50862, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 51042, 70709, 52527, 55306, 53204, 50907, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51298, 51297, 51042, 51297, 50935, 60226, 53204, 50974, 52527, 50849, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 51042, 60258, 51971, 51111, 53603, 51269, 53815, 51269, 52867, 63329, 54583, 52593, 50905, 52527, 51177, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 58469, 50319, 52731, 50799, 55213, 50874, 52840, 50914, 53281, 51269, 54575, 51269, 54466, 51269, 50992, 51297, 51149, 51297, 51017, 51297, 51125, 59338, 55213, 50933, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51297, 51125, 51297, 50992, 51297, 51017, 61288, 53037, 50812, 53281, 51269, 54575, 51269, 54466, 63329, 52749, 52426, 51058, 53037, 51591, 53281, 51269, 54575, 51269, 54466, 51269, 51125, 51297, 50992, 51297, 51017, 51297, 51149, 61389, 55213, 50984, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51297, 50992, 51297, 51125, 51297, 51017, 60226, 55213, 50933, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51269, 51017, 51297, 50992, 51297, 51125, 60258, 53281, 51269, 54575, 51269, 54466, 63329, 54424, 52426, 51006, 53281, 51269, 54575, 51269, 54466, 51269, 51125, 51297, 51149, 51269, 50992, 51297, 51017, 51297, 50799, 55213, 50864, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51297, 51017, 51297, 50992, 51297, 51125, 59338, 55213, 50822, 53281, 51269, 54575, 51269, 54466, 51269, 50992, 51297, 51149, 51269, 51017, 51297, 51125 ]

[ 0, 4688, 5175, 25771, 2214, 19, 10, 7212, 20889, 6, 4246, 21072, 6, 81, 9756, 8, 30587, 29589, 6, 38668, 3038, 6, 8, 38668, 18569, 4, 8504, 11, 5, 762, 9, 230, 10431, 3694, 6, 24, 7630, 6568, 10, 15352, 30054, 6, 980, 219, 6, 8, 19448, 5466, 4, 20, 15229, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 2351, 41, 24111, 8, 3366, 219, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 64906, 51313, 57541, 51313, 65445, 51313, 53100, 51313, 52332, 51313, 51656, 51313, 51355, 64163, 51355, 56100, 51355, 51036, 50799, 59060, 51313, 60948, 51313, 65445, 51313, 53100, 51313, 52033, 51313, 52255, 51313, 51781, 64163, 51781, 56100, 51781, 51036, 50799, 64906, 51313, 60516, 51313, 58004, 51313, 51881, 51313, 52332, 51313, 52187, 51313, 51195, 55728, 51195, 52115, 51729, 50800, 51195, 53471, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 54253, 51729, 50800, 51195, 51736, 51729, 50800, 51195, 50918, 50435, 51729, 50800, 51195, 56039, 51195, 72423, 51729, 52567, 51729, 50800, 75493, 50799, 59060, 51313, 60948, 51313, 65445, 51313, 53100, 51313, 52033, 51313, 52255, 51313, 51729, 50800, 75493, 51350, 64163, 75493, 51350, 56100, 51350, 51036, 51382, 52542, 52809, 50798, 57506, 53521, 50874, 50799, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 55456, 58071, 62553, 58792, 54419, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 50843, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 50843, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 64906, 51036, 60516, 51036, 58004, 51036, 51881, 51036, 52332, 51036, 52187, 51036, 51195, 51428, 52001, 51475, 52542, 53504, 51195, 52115, 51729, 50800, 51195, 51428, 52001, 52296, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 51626, 52154, 52542, 52765, 51729, 50800, 51195, 51736, 51729, 50800, 51195, 68754, 51475, 52262, 51729, 50800, 51195, 54805, 52057, 51195, 54805, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 51729, 51730, 52001, 51475, 52567, 51729, 50800, 75493, 50799, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51729, 50800, 75493, 51350, 55956, 52001, 51475, 52542, 53504, 75493, 51350, 56100, 51350, 55956, 52001, 61408, 52154, 76468, 50843, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 51820, 50798, 52001, 64824, 52154, 52542, 51754, 50798, 52001, 55817, 72014, 50807, 57832, 50807, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 55456, 58071, 62553, 58792, 54419, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 53178, 50795, 57832, 52732, 51475, 52262, 50798, 52057, 55242, 51428, 52001, 51475, 52542, 52831, 53178, 50795, 57832, 51918, 55242, 51428, 52001, 51757, 60829, 50795, 53178, 50807, 57832, 52496, 52154, 52542, 51754, 55242, 55568, 52001, 55817, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 55242, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 52831, 53185, 50795, 55050, 51918, 61043, 52221, 52001, 51757, 53185, 50807, 55050, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 54306, 50807, 65168, 50807, 64906, 51036, 60516, 51036, 58004, 51036, 51881, 51036, 52332, 51036, 52187, 51036, 51195, 51428, 52001, 51475, 52542, 53504, 51195, 52115, 51729, 50800, 51195, 51428, 52001, 52296, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 51626, 52154, 52542, 52765, 51729, 50800, 51195, 51736, 54306, 50795, 65168, 50795, 51729, 50800, 51195, 68754, 51475, 52262, 51729, 50800, 51195, 54805, 52057, 57607, 50795, 51195, 54805, 52001, 51475, 52542, 52831, 54306, 50795, 65168, 51918, 57607, 51428, 52001, 51757, 55242, 50795, 54306, 50807, 65168, 52496, 52154, 52542, 51754, 57607, 50991, 51729, 51730, 52001, 51475, 52567, 51729, 50800, 75493, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51729, 50800, 75493, 51350, 55956, 52001, 51475, 52542, 53504, 75493, 51350, 56100, 51350, 55956, 52001, 61408, 52154, 76468, 57607, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 50798, 52057, 50843, 51475, 52542, 51730, 53609, 53185, 50795, 55050, 51918, 60829, 52221, 52001, 51757, 52429, 50807, 64121, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 72014, 50807, 57832, 50807, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 51475, 52542, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 53178, 50795, 57832, 52732, 51475, 52262, 50798, 52057, 55242, 51428, 52001, 51475, 52542, 52831, 53178, 50795, 57832, 51918, 55242, 51428, 52001, 51757, 60829, 50795, 53178, 50807, 57832, 52496, 52154, 52542, 51754, 55242, 55568, 52001, 55817, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 55242, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 52831, 53185, 50795, 55050, 51918, 61043, 52221, 52001, 51757, 53185, 50807, 55050, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 50799, 54306, 50807, 65168, 50807, 64906, 51036, 60516, 51036, 58004, 51036, 51881, 51036, 52332, 51036, 52187, 51036, 51195, 51428, 52001, 51475, 52542, 53504, 51195, 52115, 51729, 50800, 51195, 51428, 52001, 52296, 51729, 50800, 51195, 51631, 51729, 50800, 51195, 51626, 52154, 52542, 52765, 51729, 50800, 51195, 51736, 54306, 50795, 65168, 50795, 51729, 50800, 51195, 68754, 51475, 52262, 51729, 50800, 51195, 54805, 52057, 57607, 50795, 51195, 54805, 52001, 51475, 52542, 52831, 54306, 50795, 65168, 51918, 57607, 51428, 52001, 51757, 55242, 50795, 54306, 50807, 65168, 52496, 52154, 52542, 51754, 57607, 50991, 51729, 51730, 52001, 51475, 52567, 51729, 50800, 75493, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51729, 50800, 75493, 51350, 55956, 52001, 51475, 52542, 53504, 75493, 51350, 56100, 51350, 55956, 52001, 61408, 52154, 76468, 57607, 50807, 53185, 50795, 55050, 52732, 51475, 52262, 57221, 51450, 52001, 51475, 52542, 52831, 53185, 50795, 55050, 51918, 60829, 52221, 52001, 51757, 52429, 50807, 64121, 52496, 52154, 52542, 51754, 50798, 52001, 55817, 72014, 50807, 57832, 50807, 64906, 51036, 57541, 51036, 65445, 51036, 53100, 51036, 52332, 51036, 51656, 51036, 51355, 55956, 52001, 55456, 58071, 62553, 58792, 54419, 53504, 51355, 56100, 51355, 55956, 52001, 61408, 52154, 76468, 53178, 50795, 57832, 52732, 51475, 52262, 50798, 67978, 53614, 55242, 51428, 52001, 51475, 52542, 73820, 58709, 53178, 50795, 57832, 51918, 55242, 51428, 52001, 73820, 54004, 60829, 50795, 53178, 50807, 57832, 52496, 52154, 52542, 73820, 54194, 55242, 55568, 52001, 55817, 50799, 53185, 50807, 55050, 50807, 59060, 51036, 60948, 51036, 65445, 51036, 53100, 51036, 52033, 51036, 52255, 51036, 51781, 55956, 52001, 51475, 52542, 53504, 51781, 56100, 51781, 55956, 52001, 61408, 52154, 76468, 55242, 50807, 53185 ]

[ 0, 250, 8787, 5175, 15229, 11, 272, 3694, 6, 17407, 30, 10, 16331, 13931, 9, 211, 119, 6, 1918, 6, 272, 119, 6, 8, 83, 40286, 4, 590, 10, 12701, 4450, 20889, 8, 10, 231, 73, 306, 86, 6543, 6, 24, 18, 10, 28252, 9, 2933, 6, 15352, 30054, 6, 8, 9066, 4785, 4, 20, 228, 438, 4781, 2088, 6757, 8, 38668, 20535, 483, 5, 1427, 6, 2800, 30, 5, 41063, 15796, 24456, 9, 21072, 6, 3459, 9590, 6, 8, 38668, 11212, 6, 2351, 41, 24111, 6, 980, 12, 3341, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54838, 50637, 55661, 55661, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50816, 50805, 51769, 52410, 54612, 54612, 50964, 51654, 52483, 50856, 52605, 61400, 61400, 50964, 53769, 52446, 50856, 55480, 54612, 54612, 50964, 52596, 55661, 55661, 51096, 52504, 57038, 55069, 54612, 54612, 61415, 50462, 50856, 50805, 50468, 61400, 61400, 50964, 53769, 50805, 50474, 50798, 57038, 50889, 50480, 54612, 54612, 61415, 54838, 55661, 55661, 51096, 51654, 54367, 52864, 54612, 54612, 50964, 58689, 51694, 57038, 55112, 61400, 61400, 50964, 53912, 50856, 52815, 54612, 54612, 50964, 52504, 52596, 55661, 55661, 51096, 54367, 52961, 54612, 54612, 50964, 58689, 50462, 50798, 57038, 50889, 50468, 61400, 61400, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 54612, 50964, 51654, 50808, 50483, 58471, 54838, 66046, 51796, 50805, 64724, 52024, 54064, 52024, 53496, 52024, 51821, 52024, 50816, 54367, 52864, 55661, 55661, 51096, 51654, 53184, 58471, 52389, 54367, 52605, 73445, 73445, 51096, 55107, 52446, 50856, 52815, 55661, 55661, 51096, 68838, 66046, 51796, 51654, 57038, 55069, 55661, 55661, 65456, 50462, 50816, 64492, 50468, 73445, 73445, 51096, 55107, 50805, 50474, 50798, 64492, 50480, 55661, 55661, 51096, 58689, 54838, 66046, 51796, 51654, 54367, 52864, 55661, 55661, 51096, 58689, 51694, 57038, 55112, 73445, 73445, 51096, 53912, 50856, 52815, 55661, 55661, 51096, 68838, 66046, 51796, 51654, 54367, 52961, 55661, 55661, 51096, 58689, 50462, 50816, 64492, 50468, 73445, 73445, 51096, 53769, 50805, 50474, 50856, 50805, 50480, 55661, 55661, 51096, 51654, 50808, 50483, 58471, 54838, 55661, 55661, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50816, 70607, 54612, 54612, 50964, 51654, 52483, 50856, 52605, 61400, 61400, 50964, 53769, 52446, 50856, 55480, 54612, 54612, 50964, 52596, 55661, 55661, 51096, 52504, 57038, 55069, 54612, 54612, 61415, 50462, 50856, 50805, 50468, 61400, 61400, 50964, 53769, 50805, 50474, 50798, 57038, 50889, 50480, 54612, 54612, 61415, 54838, 55661, 55661, 51096, 51654, 54367, 52864, 54612, 54612, 50964, 58689, 51694, 57038, 55112, 61400, 61400, 50964, 53912, 50856, 52815, 54612, 54612, 50964, 52504, 52596, 55661, 55661, 51096, 54367, 52961, 54612, 54612, 50964, 58689, 50462, 50798, 57038, 50889, 50468, 61400, 61400, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 54612, 50964, 51654, 50808, 50483, 58471, 54838, 66046, 51796, 50805, 64724, 52024, 54064, 52024, 53496, 52024, 51821, 52024, 50816, 54367, 52864, 55661, 55661, 51096, 51654, 52483, 50856, 52605, 73445, 73445, 51096, 53769, 52446, 50856, 52815, 55661, 55661, 51096, 52504, 52596, 66046, 51796, 51654, 54367, 52961, 55661, 55661, 51096, 58689, 50462, 50798, 57038, 50889, 50468, 73445, 73445, 51096, 50889, 50474, 50816, 64492, 50480, 55661, 55661, 51096, 58689, 54838, 66046, 51796, 51654, 54367, 52864, 55661, 55661, 51096, 58689, 51694, 54367, 52605, 73445, 73445, 51096, 53769, 52446, 50856, 52815, 55661, 55661, 51096, 51654, 76833, 66046, 78388, 55152, 52961, 55661, 55661, 51096, 58689, 50462, 50856, 50805, 50468, 73445, 73445, 51096, 53769, 50840, 50470, 73606, 50472, 73606, 50474, 50816, 60105, 50889, 50480, 55661, 55661, 65456, 54838, 55661, 54730, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50798, 71147, 54226, 54612, 55204, 50964, 52483, 50856, 52605, 61400, 51634, 50889, 50964, 53769, 52446, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 52504, 54367, 52961, 54612, 55204, 50964, 72116, 50462, 50798, 64492, 50465, 55391, 50468, 61400, 61973, 50964, 53769, 50805, 50474, 50856, 50805, 50480, 54612, 55204, 50964, 58689, 54838, 55661, 54730, 51096, 51654, 57038, 55385, 54612, 55204, 61415, 51694, 54367, 58983, 51348, 52559, 61400, 61973, 50964, 53769, 52446, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 52504, 54367, 52961, 54612, 55204, 50964, 58689, 50462, 50798, 57038, 50889, 50465, 55391, 50468, 61400, 61973, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 55204, 50964, 58689, 54838, 57063, 55357, 51796, 50805, 64724, 52024, 54064, 52024, 53496, 52024, 51821, 52024, 50816, 57038, 55385, 55661, 54730, 51096, 52483, 50856, 58983, 51511, 52559, 73445, 68767, 51096, 53769, 52446, 50816, 57038, 55480, 55661, 54730, 51096, 52596, 57063, 55357, 78388, 54367, 52961, 55661, 54730, 51096, 72116, 50462, 50798, 64492, 50465, 56712, 50468, 73445, 68767, 51096, 55107, 50805, 50474, 50856, 50805, 50480, 55661, 54730, 51096, 58689, 54838, 57063, 55357, 51796, 78386, 70869, 55661, 54730, 51096, 51654, 77338, 69035, 53847, 51511, 71900, 73445, 68767, 51096, 53769, 72404, 50816, 57038, 55480, 55661, 54730, 51096, 52596, 57063, 55357, 51796, 51654, 51116, 50856, 66313, 55661, 54730, 51096, 58565, 58471, 50462, 50816, 64492, 50465, 56712, 50468, 73445, 68767, 51096, 53769, 50805, 50474, 50856, 50805, 50480, 55661, 54730, 51096, 58689, 54838, 55661, 54730, 65456, 57054, 52024, 52233, 52024, 52606, 52024, 51678, 52024, 50816, 54367, 52864, 54612, 55204, 50964, 58689, 52389, 57038, 55112, 61400, 51634, 50889, 50964, 53912, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 52504, 54367, 52961, 54612, 55204, 50964, 58689, 50462, 50798, 57038, 50889, 50465, 55391, 50468, 61400, 61973, 50964, 50889, 50474, 50856, 50805, 50480, 54612, 55204, 50964, 58689, 54838, 55661, 54730, 51096, 52504, 64317, 55385, 54612, 55204, 50964, 52483, 50856, 58983, 51348, 52559, 61400, 61973, 50964, 55107, 52446, 50856, 52815, 54612, 55204, 50964, 68838, 55661, 54730, 51096, 51654, 57038, 55069, 54612, 55204, 61415, 50462, 50856, 50889, 50465, 55391, 50468, 61400, 61973, 50964, 50889, 50474, 50816, 64492, 50480, 54612, 55204, 50964, 58689, 54838, 57063, 55357, 51796, 50805, 64724, 53090, 54064, 53090, 53496, 53090, 51821, 53090, 50798, 64317, 55385, 55661, 54730, 51096, 52483, 50856, 58983, 51511, 52559, 73445, 68767, 51096, 53769, 52446, 50816, 57038, 55480, 55661, 54730, 51096, 52596, 57063, 55357, 51796, 51654, 54367, 52961, 55661, 54730, 51096, 72116, 50462, 50816, 64492, 50465, 56712, 50468, 73445, 68767, 51096, 53769, 50805, 50474, 50856, 50805, 50480, 55661, 54730, 51096, 58689, 54838, 51063, 51141, 51075, 51141, 51075, 51141, 50953, 73321, 64317, 50889, 52389, 52605, 51155, 51141, 51046, 51141, 51046, 51141, 50927, 57394, 60105, 50889, 52129, 52596, 51296, 51141, 51278, 51141, 51278, 51141, 51069, 57394, 60105, 50889, 50462, 50798, 50805, 50468, 55241, 51141, 51885, 51141, 51885, 51141, 53344, 57394, 60105, 50889, 50480, 50798, 50805, 54838, 72218, 60993, 60993, 51069, 53769, 71147, 54107, 65087, 68767, 68767, 51105, 55107, 50889, 52356, 53912, 51063, 51141, 51063, 51141, 50953, 51141, 55464, 51077, 54064, 51077, 52016, 58673, 64317, 55082, 50852, 52961, 79793, 50953, 62541, 50845, 50462, 76289, 51186, 50805, 55464, 50889, 54064, 50889, 52016, 55107, 56151, 50468, 79793, 50953, 62541, 50845, 50474, 51155, 51141, 51155, 51141, 50927, 51141, 55825, 51077, 55500, 51077, 52016, 58673, 56151, 50480, 50852, 50845, 54838, 50852, 52864, 53573, 53573, 50927, 62541, 53172, 79793, 60908, 55825, 50889, 55500, 50889, 52016, 55107, 52472, 52605, 53573, 53573, 50927, 62541, 53264, 51386, 51141, 51386, 51141, 50964, 51141, 55464, 51077 ]

[ 0, 4688, 17627, 17274, 5175, 2214, 4246, 10, 3152, 6757, 483, 6, 21979, 8, 30587, 29589, 6, 38668, 18569, 6, 8, 21072, 6, 2351, 10, 19448, 8, 11653, 5466, 4, 8504, 11, 5, 762, 9, 272, 10431, 3694, 19, 10, 27841, 139, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 5705, 25614, 2838, 5, 2060, 119, 8, 274, 10431, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50643, 53028, 51160, 51361, 71694, 50812, 51453, 50812, 52591, 51957, 51732, 65798, 52250, 51885, 52250, 50798, 50860, 51769, 50948, 50796, 51694, 56789, 50816, 53860, 50816, 53894, 50816, 52597, 50816, 57365, 55521, 62620, 55862, 51033, 51224, 50890, 50799, 55783, 69551, 51957, 50976, 51885, 50873, 51548, 50925, 54173, 51653, 51846, 51388, 51317, 50923, 50998, 51021, 51396, 51388, 51017, 61740, 56562, 53451, 65492, 55862, 56810, 51270, 52597, 51270, 50917, 50449, 55521, 50940, 50455, 55862, 62620, 51383, 78123, 55783, 51033, 52591, 51957, 50975, 51885, 50937, 51548, 50977, 54173, 51460, 51846, 50923, 51317, 51030, 50998, 51021, 51396, 71840, 79396, 56562, 61515, 55862, 51388, 50438, 51270, 54465, 51270, 50917, 50448, 55521, 50936, 50454, 55862, 57973, 51383, 62923, 55783, 50894, 53069, 54173, 72207, 51957, 51066, 51885, 50977, 51548, 50925, 51846, 50911, 51317, 50921, 50998, 51030, 51396, 67783, 78341, 60909, 62175, 51045, 50425, 54173, 50894, 50431, 54173, 51354, 50438, 51456, 78629, 52597, 51957, 50975, 51885, 50942, 51548, 50833, 55783, 51653, 51846, 50923, 51317, 51033, 50998, 51021, 51396, 71840, 51033, 50868, 72313, 51045, 51270, 56974, 55862, 50806, 51383, 50812, 50799, 55521, 51379, 50420, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 50844, 50428, 55521, 56087, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 50874, 55545, 51059, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 50844, 51180, 59548, 51138, 52190, 57322, 53091, 50950, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 79795, 51602, 50860, 53091, 50882, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 54293, 50823, 53091, 50894, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 54448, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 50924, 50421, 53091, 57078, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 70134, 55783, 56896, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 62886, 55783, 50950, 55545, 51059, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 78655, 55783, 50950, 51180, 59548, 51138, 52190, 50948, 50446, 55783, 51454, 50450, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 79795, 51602, 51012, 55521, 50911, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 50799, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 73821, 53091, 51427, 50420, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 50844, 50428, 53091, 60247, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 50874, 55545, 51059, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 50844, 51180, 59548, 51138, 52190, 57322, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 79795, 51602, 50936, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 54293, 50911, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 73821, 55521, 58609, 54457, 51059, 51846, 50949, 50986, 50949, 51136, 50949, 51078, 50949, 51396, 69049, 73760, 50949, 50944, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 50924, 50422, 55521, 54631, 51846, 50901, 63896, 51136, 50901, 51078, 51418, 50300, 56729, 60429, 57482, 50901, 60483, 50844, 50428, 55521, 51379, 50432, 66952, 56422, 67674, 51078, 61009, 54180, 57132, 58228, 51370, 60527, 56365, 50874, 55545, 51029, 51846, 50923, 50986, 50923, 51136, 50923, 51078, 51834, 50300, 60947, 62042, 63210, 54209, 51012, 75750, 55141, 62090, 55521, 50911, 51180, 59548, 51138, 52190, 50948, 50445, 55837, 60919, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 64968, 50984, 50451, 53956, 51012, 79795, 51602, 50860, 51846, 51012, 50986, 51012, 51136, 51012, 51078, 51952, 50300, 66594, 68665, 65687, 55580, 52715, 56826, 54591, 50844, 50799, 51846, 50849, 65930, 51136, 50849, 51078, 68876, 58310, 61122, 57898, 50849, 51718, 51826, 73254, 73821, 53956, 51483, 50420, 51957, 51029, 51574, 50949, 51846, 50949, 51317, 50949, 50998, 50949, 51217, 50949, 51396, 50949, 51017, 72866, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 51574, 50901, 51846, 50901, 51317, 50901, 50998, 75585, 51418, 50300, 62361, 55905, 50901, 60483, 70134, 55521, 68981, 71836, 66952, 61728, 50998, 56398, 61009, 57679, 53677, 51370, 60527, 56365, 50874, 56618, 51029, 51574, 50923, 51846, 50923, 51317, 50923, 50998, 51834, 50296, 51834, 50300, 71840, 61740, 54209, 51012, 75750, 55141, 62090, 55862, 50894, 51180, 59548, 51138, 52190, 50948, 50446, 55862, 55230, 51574, 50849, 51846, 50849, 75663, 50998, 67915, 68876, 61121, 55501, 50849, 64968, 50984, 50451, 55862, 51427, 79795, 51957, 50882, 51574, 51012, 51846, 51012, 51317, 51012, 50998, 62996, 51952, 50300, 65770, 55580, 52715, 56826, 54591, 50844, 50799, 55837, 51167, 51574, 50849, 51846, 50849, 75663, 50998, 67915, 68876, 61121, 55501, 50849, 51718, 51826, 73254, 54448, 51857, 51059, 52562, 50949, 52028, 50949, 51311, 50949, 51136, 50949, 51751, 50949, 51506, 50949, 51042, 73760, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 55837, 51192, 52562, 50901, 52028, 50901, 51311, 50901, 51136, 51418, 50295, 51418, 50298, 67045, 60429, 50901, 60483, 53513, 52562, 50795, 52028, 50795, 76265, 67674, 51751, 70732, 59687, 57132, 51370, 60527, 56365, 50874, 55827, 51059, 55837, 50893, 52562, 50923, 52028, 50923, 51311, 50923, 51136, 51834, 50295, 51834, 50298, 51834, 50303, 62042, 54209, 51012, 75750, 55141, 50844, 51180, 59548, 51138, 52190, 50948, 50445, 55783, 77778, 52562, 50849, 52028, 50849, 51311, 50849, 51136, 51424, 50295, 77073, 68593, 61122, 50849, 64968, 50984, 54287, 50912, 50454, 55862, 58133, 51857, 50975, 52562, 51012, 52028, 51012, 51311, 51012, 51136, 51952, 50295, 51952, 50298, 73335, 68665, 55580, 52715, 56826, 54591, 50844, 50799, 55862, 51286, 52562, 50849, 52028, 50849, 51311, 50849, 51136, 51424, 50295, 77073, 68593, 61122, 50849, 51718, 51826, 73254, 54448, 51957, 51059, 51574, 50949, 51846, 50949, 51317, 50949, 50998, 50949, 51217, 50949, 51396, 50949, 51017, 72866, 54906, 50976, 51782, 51369, 68498, 52406, 50607, 57316, 55521, 50806 ]

[ 0, 250, 32076, 8, 20425, 5862, 8, 232, 930, 24904, 6, 42, 8787, 2125, 16, 278, 11, 163, 538, 8, 11498, 10, 182, 1769, 20889, 4, 20, 13305, 8, 20535, 2810, 6, 217, 326, 5638, 18026, 8, 32909, 6, 483, 5, 15352, 30054, 1427, 6, 150, 5, 3459, 9590, 8, 21072, 694, 10, 2705, 41063, 15796, 4811, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 2060, 119, 6, 381, 6, 8, 274, 10431, 3872, 4668, 6, 1271, 7, 63, 20902, 8, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50639, 50799, 57317, 51047, 52384, 51452, 56760, 72270, 52264, 62118, 52314, 68535, 55558, 50866, 51744, 51452, 56588, 60204, 71463, 55125, 55078, 50866, 56760, 50878, 52384, 50878, 56588, 55037, 65049, 50873, 50799, 52067, 51397, 55870, 51714, 52148, 51714, 58267, 51894, 50438, 52067, 55040, 53147, 52843, 55078, 54752, 52067, 51043, 50799, 55558, 51047, 51968, 51047, 58837, 51452, 63911, 51204, 50426, 52314, 62118, 51744, 68535, 55078, 50845, 51641, 51714, 63911, 58937, 65361, 55125, 53147, 50878, 51968, 50878, 58837, 50845, 63911, 58325, 63533, 50845, 50799, 52264, 51397, 53084, 51422, 53542, 51714, 68306, 51945, 50438, 52264, 55040, 52067, 56060, 53147, 54752, 52264, 51043, 50799, 55078, 51452, 57754, 51047, 52701, 72270, 51744, 62118, 51641, 53264, 53147, 50845, 52061, 51047, 65049, 54630, 56588, 53562, 52067, 50878, 57754, 50866, 52701, 50866, 65049, 53702, 58267, 51194, 50799, 55558, 51452, 51968, 51047, 58837, 51452, 63911, 51562, 50426, 52314, 62118, 51744, 68535, 55078, 51043, 51641, 51047, 63911, 59187, 65361, 53562, 53147, 50878, 51968, 50866, 58837, 50845, 63911, 56974, 63533, 51043, 50799, 55078, 53295, 52384, 53295, 56760, 51717, 56588, 52250, 50799, 52211, 56202, 51898, 53244, 51723, 61120, 52298, 67174, 51431, 51918, 52298, 59323, 51723, 59562, 51898, 50795, 57497, 51538, 51040, 51623, 51028, 51091, 50968, 51573, 51147, 51204, 52211, 78468, 57654, 52180, 50608, 55587, 51383, 54800, 52710, 51383, 56651, 58950, 55864, 53974, 50920, 71645, 73835, 51028, 51226, 50968, 51573, 51147, 50983, 51383, 56651, 50388, 52127, 50444, 51270, 67343, 54591, 54672, 50920, 54411, 51360, 51116, 51040, 80037, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 55547, 51605, 51027, 51452, 76233, 51028, 51274, 50968, 51343, 50920, 62809, 52410, 51270, 53127, 52710, 51270, 61295, 58950, 50881, 50608, 55578, 53974, 51383, 53127, 55023, 62472, 51270, 53442, 50877, 50983, 51028, 52097, 50968, 51285, 51383, 53127, 52406, 50608, 60835, 50903, 52699, 61094, 51270, 55354, 51383, 53127, 54411, 51027, 73748, 70160, 54418, 50920, 63260, 56662, 71193, 50800, 58066, 52903, 51086, 53090, 50973, 51141, 51028, 51552, 51001, 51274, 58368, 51114, 51189, 50903, 52699, 52180, 50608, 55587, 51383, 54800, 52710, 51383, 56651, 56010, 55864, 53974, 51270, 56691, 71645, 73835, 50973, 50983, 51028, 51552, 51001, 51274, 51114, 50983, 51383, 56651, 52699, 53103, 51270, 56691, 59488, 55373, 50920, 54411, 51170, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 57844, 51362, 51028, 51573, 51001, 51541, 51114, 51204, 50920, 62809, 52410, 50920, 52710, 51383, 56651, 70120, 50881, 50608, 55578, 53974, 51270, 56691, 55023, 52125, 50973, 50983, 51028, 51552, 51001, 51274, 51114, 51291, 50920, 52406, 50608, 60835, 51383, 62413, 52699, 54672, 50920, 54411, 51324, 51160, 51086, 50991, 51170, 70160, 54418, 50920, 63260, 64516, 71193, 50800, 57497, 51685, 51040, 51685, 51028, 50983, 51001, 51274, 50968, 51496, 51147, 51141, 50903, 57654, 52180, 50608, 55587, 51383, 56691, 52710, 51270, 67343, 58950, 55864, 53974, 50920, 71645, 73835, 51028, 51343, 51001, 51274, 50968, 51541, 51147, 50983, 50903, 50388, 52127, 50444, 50903, 54591, 54672, 50920, 54411, 51360, 51235, 51040, 75010, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 55547, 51161, 51027, 51591, 50877, 51189, 50973, 51496, 51028, 51496, 50968, 51141, 50920, 62809, 52410, 51270, 56691, 50812, 51768, 58950, 50881, 50608, 55578, 53974, 50920, 55023, 52125, 50877, 51291, 50973, 52512, 51028, 52195, 50968, 51291, 51383, 54800, 52406, 50608, 60835, 51270, 67343, 52699, 54672, 50920, 54411, 51279, 51363, 51027, 51160, 51170, 70160, 54418, 50920, 63260, 56662, 71193, 50800, 58066, 54484, 51086, 52045, 50973, 51189, 51028, 51496, 51001, 51274, 51114, 50983, 50903, 52699, 52180, 50608, 70628, 50968, 53728, 51270, 52539, 54080, 51270, 50820, 51768, 56010, 55864, 53974, 51383, 56691, 71645, 73835, 50973, 51141, 51028, 51552, 51001, 51496, 51114, 51141, 50903, 52699, 53103, 51270, 53127, 59488, 55373, 50920, 54411, 51170, 70160, 53104, 50608, 51923, 50920, 63260, 64516, 57500, 50800, 57844, 51343, 51028, 51761, 51001, 51274, 51114, 50983, 50920, 62809, 52410, 51270, 53127, 52710, 51270, 61295, 70120, 50881, 50608, 55578, 53974, 51383, 53127, 55023, 62472, 51270, 53442, 50973, 51362, 51028, 51573, 51001, 51226, 51114, 51091, 51383, 53127, 52406, 50597, 50823, 53615, 60835, 50920, 61094, 51270, 55354, 51383, 53127, 54411, 51324, 51160, 51086, 51235, 51170, 50388, 54502, 55864, 54418, 50920, 62984, 58730, 71193, 57459, 52365, 61629, 52365, 50809, 57542, 50844, 51040, 51534, 51028, 51221, 50968, 51514, 50332, 50845, 51228, 51090, 51769, 77293, 53914, 52180, 50608, 55587, 51147, 68572, 54800, 54080, 50916, 54504, 50965, 50912, 51399, 50873, 51383, 56651, 56010, 55864, 53974, 51040, 51116, 51028, 51235, 50968, 51116, 51430, 50991, 51228, 51573, 51270, 56691, 71645, 73835, 51383, 56651, 52699, 53103, 51086, 50991, 50973, 51124, 51001, 51124, 51405, 51124, 51270, 67343, 55141, 54672, 50920, 54411, 51205, 51160, 51170, 70160, 53104, 50608, 51923, 51040, 63057, 68547, 51800, 50332, 50889, 50920, 63260, 64516, 57500, 50800, 53285, 51541, 50920, 62809, 52410, 50916, 52216, 50324, 58553, 54080, 50965, 58309, 51399, 67020, 56651, 66926, 50881, 50608, 55578, 53974, 50916, 51241, 50968, 51351, 51147, 51741, 50336, 51226, 51487, 50810, 51019, 51573, 51270, 67343, 52699, 51724, 50920, 52406, 50608, 60835, 51220, 51363, 51383, 62413, 52699, 54672, 50920, 54411, 50965, 51998, 51430, 50874, 51069, 69734, 70160, 54418, 66461, 75107, 79407, 51787, 50849, 51096, 68498, 63260, 63787, 71193, 50800, 56178, 65271, 68800, 51455, 50334, 51255, 51205, 51541, 50903, 52699, 52180, 50608, 55587, 50989, 78288, 52858, 50327, 50892, 51270, 52539, 54080, 51270, 52639, 51405, 62983, 62467, 56010, 55864, 53974, 50956, 68035, 76919, 51458, 50334, 50805, 51213, 51541, 51383, 56691, 71645, 51111, 59015, 52699, 53103, 50973, 69474, 51514, 50327, 50806, 51405, 50893, 51270, 61295, 55141, 54672, 50920, 54411, 51415, 51014, 51170, 70160, 53104, 50608, 51923, 50956, 71606, 51619, 50322, 51124, 51787, 51124, 51415, 51496, 53147, 51059, 52314, 52512, 53084, 51029, 52377, 51761, 50920, 63260, 56662, 57500, 50800, 60122, 62809, 52410, 51220, 63772, 52034, 51270, 53127, 54080, 50973, 57252, 51405, 50844, 52264, 51030, 51641, 50911, 52384, 50923, 52377, 50911, 51270, 61295, 58950, 50881, 50608, 55578, 53974, 50956, 51235, 51001, 51203, 51114, 51455, 50334, 51116, 51213, 51226, 52314, 50805, 52061, 51111, 51968, 50948, 52698, 50917, 51383, 53127, 55023, 62472, 51270, 53442, 52264, 51030, 51641, 50923, 52377, 51030, 52384, 50911, 51383, 53127, 52406, 50608, 60835, 51220, 50874, 50989, 50907, 50973, 50838, 52314, 51192, 53147, 51286, 52698, 51060, 53084, 51192, 50903, 52699, 61094, 51270, 55354, 51383, 53127, 54411, 51405, 50822, 51205, 51235, 52264, 51030, 51641, 50923, 52384, 51014, 52377, 50936, 51170, 70160, 54418, 50956, 50812, 65559, 51114, 50810, 51787, 50812, 78153, 52264, 51354, 55078, 51354, 52384, 50823, 54006, 51483, 50920, 60512, 71193, 58915, 50802, 51769, 51505, 57346, 50991, 51028, 51221, 50968, 65799, 51221, 50920, 52180, 50608 ]

[ 0, 250, 182, 251, 2125, 9, 15855, 930, 6, 42, 15229, 16, 17407, 30, 63, 1769, 12, 20764, 231, 73, 398, 86, 6543, 8, 63, 5386, 6, 9066, 6711, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 822, 2369, 36546, 4, 20, 17691, 28430, 6, 6755, 12547, 6, 9590, 3863, 6, 2342, 4467, 6, 8, 6168, 3540, 35810, 561, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 19, 5, 762, 9, 211, 3694, 6946, 41, 935, 9, 10603, 7, 5, 7069, 4, 20, 33215, 16739, 9, 83, 6, 211, 119, 6, 8, 163, 43531, 3639, 7, 5, 28339, 619, 9, 42, 9893, 6, 25306, 173, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50647, 51540, 50627, 50415, 50711, 50287, 51492, 56049, 51492, 50417, 52820, 54060, 52776, 77103, 52820, 54060, 50420, 52776, 66546, 52820, 54060, 50423, 52820, 54060, 52776, 68057, 52820, 54060, 50426, 50628, 52776, 63220, 52820, 54060, 50429, 52820, 54060, 52776, 69812, 52820, 54060, 50432, 52776, 67631, 52820, 52835, 50435, 52820, 52835, 52776, 63892, 52820, 52835, 50438, 52776, 64456, 52820, 52835, 50441, 52820, 52835, 52776, 70035, 52820, 52835, 50444, 52776, 70378, 52820, 52835, 50447, 52820, 52835, 52776, 63500, 52820, 78065, 50627, 52776, 64380, 52820, 52835, 50453, 52820, 52835, 52776, 67970, 52820, 52835, 50456, 52776, 72727, 52820, 52835, 50459, 52820, 52835, 52776, 63604, 52820, 52835, 50462, 50628, 52776, 50821, 50463, 52820, 52835, 50465, 52820, 52835, 52776, 50821, 50467, 52820, 52835, 50468, 52776, 50821, 50469, 52820, 52835, 50471, 52820, 52835, 52776, 50821, 50473, 52820, 52835, 50474, 52776, 50821, 50475, 52820, 52835, 50477, 52820, 52835, 52776, 50821, 50479, 52820, 52835, 50480, 52776, 50821, 50481, 52820, 52835, 50483, 52820, 52835, 52776, 50821, 50485, 52820, 52835, 51540, 50627, 52776, 63586, 52820, 52835, 50417, 52820, 52514, 52776, 77103, 52820, 52514, 50420, 52776, 66546, 52820, 52514, 50423, 52820, 52514, 52776, 68057, 52820, 52514, 50426, 50628, 52776, 63220, 52820, 52514, 50429, 52820, 52514, 52776, 69812, 52820, 52514, 50432, 52776, 67631, 52820, 52514, 50435, 52820, 52514, 52776, 63892, 52820, 52514, 50438, 52776, 64456, 52820, 52514, 50441, 52820, 52514, 52776, 70035, 52820, 52514, 50444, 52776, 70378, 52820, 52514, 50447, 52820, 52514, 52776, 63500, 52820, 73856, 50627, 52776, 64380, 52820, 52514, 50453, 52820, 52514, 52776, 67970, 52820, 52514, 50456, 52776, 72727, 52820, 52514, 50459, 52820, 52514, 52776, 63604, 52820, 52514, 50462, 50628, 52776, 50821, 50463, 52820, 52514, 50465, 52820, 52514, 52776, 50821, 50467, 52820, 52514, 50468, 52776, 50821, 50469, 52820, 52514, 50471, 52820, 52514, 52776, 50821, 50473, 52820, 52514, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51699, 50806, 51699, 50806, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51883, 50806, 51883, 50806, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 52820, 52134, 50416, 51638, 50896, 51638, 66281, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50428, 51883, 50896, 51883, 69460, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50440, 51638, 50896, 51638, 69152, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50452, 51699, 50896, 51699, 70388, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50464, 51883, 50896, 51883, 50896, 50465, 52820, 52134, 52776, 50821, 50467, 52820, 52134, 50468, 52776, 50821, 50469, 52820, 52134, 50471, 52820, 52134, 52776, 50821, 50473, 52820, 52134, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51299, 51055, 51299, 51055, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 52820, 52134, 50416, 51638, 50896, 51638, 66281, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50428, 51883, 50896, 51883, 69460, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50440, 51638, 50896, 51638, 69152, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50452, 51699, 51196, 51699, 51196, 50453, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50465, 52820, 52134, 52776, 50821, 50467, 52820, 52134, 50468, 52776, 50821, 50469, 52820, 52134, 50471, 52820, 52134, 52776, 50821, 50473, 52820, 52134, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51883, 50936, 51883, 50936, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51887, 50936, 51887, 50936, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 61331, 54454, 52820, 52134, 50416, 60749, 52382, 54875, 52382, 52481, 53898, 51699, 53898, 51699, 53898, 50417, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50429, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50441, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50453, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50465, 52820, 52835, 52776, 50821, 50467, 52820, 52835, 50468, 52776, 50821, 50469, 52820, 52835, 50471, 52820, 52514, 52776, 50821, 50473, 52820, 52514, 50474, 52776, 50821, 50475, 52820, 52514, 50476, 51883, 50936, 51883, 50936, 50477, 52820, 52514, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51887, 50936, 51887, 50936, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540, 50627, 52776, 63586, 61331, 54454, 52820, 52134, 50416, 60749, 52382, 54875, 52382, 52481, 53898, 51699, 53898, 51699, 53898, 50417, 52820, 52134, 52776, 77103, 52820, 79786, 52776, 66546, 52820, 52134, 50423, 52820, 52134, 52776, 68057, 52820, 72769, 50628, 52776, 63220, 52820, 52134, 50429, 52820, 52134, 52776, 69812, 52820, 72605, 52776, 67631, 52820, 52134, 50435, 52820, 52134, 52776, 63892, 52820, 52134, 50438, 52776, 64456, 52820, 52134, 50441, 52820, 52134, 52776, 70035, 52820, 76373, 52776, 70378, 52820, 52134, 50447, 52820, 52134, 52776, 63500, 52820, 73792, 50627, 52776, 64380, 52820, 52134, 50453, 52820, 52134, 52776, 67970, 52820, 69249, 52776, 72727, 52820, 52134, 50459, 52820, 52134, 52776, 63604, 52820, 52134, 50462, 50628, 52776, 50821, 50463, 52820, 52134, 50465, 52820, 52134, 52776, 50821, 50467, 52820, 52134, 50468, 52776, 50821, 50469, 52820, 52134, 50471, 52820, 52134, 52776, 50821, 50473, 52820, 52134, 50474, 52776, 50821, 50475, 52820, 52134, 50476, 51883, 50936, 51883, 50936, 50477, 52820, 52134, 52776, 50821, 50479, 52820, 52134, 50480, 52776, 50821, 50481, 52820, 52134, 50482, 51887, 50936, 51887, 50936, 50483, 52820, 52134, 52776, 50821, 50485, 52820, 52134, 51540 ]

[ 0, 250, 5679, 26709, 8, 15352, 30054, 3152, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 2635, 20889, 6, 42, 765, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 230, 10431, 119, 6, 381, 6, 83, 6, 8, 163, 6, 2351, 10, 19448, 8, 2829, 2933, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 52537, 50844, 51708, 50833, 51232, 50810, 66491, 51777, 52654, 68140, 72157, 51777, 53614, 51232, 50810, 72157, 51777, 54004, 51232, 50844, 72157, 51777, 54194, 51232, 50810, 51119, 58223, 51232, 50851, 51119, 50822, 51275, 50854, 67094, 51359, 51708, 51359, 51232, 50873, 51119, 50873, 51777, 53890, 51232, 50844, 51119, 50844, 51777, 54123, 51232, 50822, 51119, 50844, 51777, 53783, 59887, 52175, 53580, 50821, 51232, 50810, 51119, 50810, 51777, 56936, 54727, 54418, 51232, 73363, 53880, 51291, 50459, 51119, 50822, 51275, 50854, 67094, 51255, 51708, 50901, 51119, 50810, 51777, 50854, 51489, 50905, 53389, 52250, 53100, 52149, 50426, 51119, 50874, 51777, 50822, 51489, 54123, 51119, 50827, 51777, 50874, 51489, 54653, 53580, 56827, 52491, 51138, 51119, 50874, 51777, 50844, 51489, 66849, 52891, 50824, 64680, 50812, 51119, 50822, 51777, 50822, 51489, 54351, 52491, 51977, 50426, 51119, 50822, 51777, 50844, 51489, 53614, 51119, 50822, 51777, 50844, 51489, 53103, 53580, 65399, 52491, 50860, 51708, 50808, 51119, 50844, 51777, 50810, 51489, 59697, 52891, 51072, 62404, 51605, 51198, 50879, 76092, 51275, 50849, 52070, 50805, 51881, 59047, 52891, 61177, 52891, 50923, 51119, 50810, 71499, 52070, 53627, 52891, 62591, 52891, 51388, 51119, 50810, 71499, 52070, 53103, 52491, 72551, 52228, 51354, 51119, 50810, 51275, 50854, 52070, 50854, 53100, 63505, 52491, 51933, 51119, 50844, 51777, 50822, 51489, 54678, 55148, 51696, 53541, 51036, 69935, 51605, 51232, 50914, 51512, 50901, 51429, 50805, 51489, 55035, 51512, 50812, 51429, 50854, 51489, 54181, 51512, 50833, 51429, 50854, 51489, 71303, 59887, 57887, 51512, 50810, 51429, 50854, 51275, 50833, 51489, 67509, 53580, 68750, 54727, 52935, 53880, 63574, 53880, 51527, 67094, 50812, 51708, 50812, 72157, 51429, 50812, 51777, 50810, 51489, 50812, 53389, 52570, 53100, 52149, 50426, 51119, 50844, 51429, 50854, 51777, 50833, 51489, 62903, 59887, 55381, 51119, 50844, 51429, 50854, 51777, 50810, 51489, 59615, 53580, 52313, 54727, 56762, 53580, 56812, 51119, 50810, 51429, 50854, 51777, 50810, 51489, 52863, 54727, 57264, 53580, 51364, 64680, 50833, 51119, 50810, 51429, 50854, 51777, 50810, 51489, 52654, 51119, 50810, 76022, 51777, 50854, 51489, 53911, 53580, 52674, 54727, 55381, 53580, 51059, 51119, 50810, 76022, 51777, 50854, 51489, 54276, 52491, 50802, 51847, 50808, 51232, 50854, 72157, 51777, 50854, 51489, 53820, 51232, 50822, 51119, 63652, 52491, 52442, 62404, 51605, 68946, 51494, 50795, 71107, 73139, 51881, 51696, 50426, 76818, 60056, 51275, 52599, 51494, 50833, 72157, 51275, 52848, 51198, 50810, 60056, 51777, 50812, 69935, 51991, 51232, 51945, 51512, 50833, 51429, 50808, 51489, 50808, 55148, 51469, 53541, 52149, 50426, 51512, 50854, 51429, 50854, 51489, 59628, 59887, 56360, 53580, 50802, 51512, 50854, 51429, 50854, 51489, 52597, 54727, 66070, 53880, 51030, 51512, 50833, 51429, 50812, 51489, 52643, 53880, 52827, 50459, 62146, 51655, 51881, 51655, 72722, 50812, 76022, 51275, 50822, 52070, 50833, 51578, 50808, 52461, 52710, 51275, 50822, 74828, 71837, 52461, 52729, 53580, 74292, 50822, 52070, 50854, 51578, 50854, 52461, 53103, 52491, 75044, 51275, 50822, 52070, 50854, 71837, 52461, 54194, 52891, 51059, 50459, 55430, 50882, 53389, 50800, 62404, 50854, 51198, 50808, 51275, 50844, 71008, 52070, 50812, 78380, 55430, 52379, 53389, 51264, 51881, 51655, 50420, 52491, 52282, 50426, 51275, 50822, 51489, 50854, 52070, 50833, 51578, 54181, 51275, 50822, 71008, 52070, 50812, 51578, 54276, 51275, 50844, 71008, 52070, 50812, 51578, 54424, 53580, 57264, 52491, 50882, 50799, 52891, 51603, 53483, 50808, 76818, 51777, 50845, 52070, 50873, 51578, 50849, 57633, 51655, 53389, 51036, 53100, 61899, 52891, 50859, 51777, 50822, 52070, 50854, 51578, 52658, 52891, 51573, 50438, 51777, 50844, 74828, 51578, 71696, 52491, 52555, 52491, 50940, 51777, 50844, 52070, 50833, 51578, 62091, 52491, 51795, 62404, 50854, 67731, 72157, 51275, 50854, 51489, 50854, 52070, 50833, 51578, 50854, 55430, 52208, 53389, 51036, 51881, 52250, 50426, 51119, 50874, 51275, 50822, 51489, 50822, 52070, 50822, 51578, 54123, 51119, 50874, 51275, 50822, 51489, 50822, 52070, 50822, 51578, 54385, 51198, 50810, 51119, 50874, 51275, 50874, 51489, 50822, 52070, 50874, 51578, 54900, 53580, 51014, 51119, 50874, 51275, 50822, 51489, 50822, 51578, 50822, 50799, 52228, 50823, 51869, 50812, 64874, 51275, 50833, 51516, 50810, 52461, 50800, 53817, 51655, 53541, 76188, 53580, 55446, 52228, 54007, 53580, 55889, 52228, 52266, 51275, 50844, 51516, 50822, 52461, 53415, 51275, 50844, 51516, 50844, 52461, 52843, 80062, 51275, 50874, 51516, 50844, 52461, 53920, 59887, 51060, 50799, 52228, 50803, 53483, 51675, 51494, 51675, 51275, 50845, 51489, 50849, 52070, 50795, 51578, 50849, 55430, 51036, 53389, 52024, 50417, 53580, 55446, 52228, 54007, 53580, 54149, 52228, 51496, 51275, 50822, 63885, 52070, 50854, 51578, 53614, 51275, 50874, 63885, 52070, 50854, 51578, 54385, 51275, 50844, 51489, 50854, 52070, 50833, 51578, 53920, 59887, 51173, 50459, 59439, 51469, 53100, 51696, 70781, 50874, 51777, 50822, 51489, 50854, 51578, 62501, 52228, 62229, 53580, 55341, 53580, 51215, 51119, 50810, 51777, 50822, 63885, 51578, 53193, 54727, 68405, 53880, 56039, 66491, 51777, 50822, 63885, 51578, 54004, 51777, 50810, 51489, 50844, 51578, 53820, 74456, 65237, 51310, 51099, 51134, 51275, 50892, 51489, 50849, 51516, 50892, 51578, 50845, 53817, 51336, 53541, 51336, 51881, 51655, 50421, 52228, 57327, 51275, 50822, 71008, 51516, 50810, 51578, 60950, 52228, 57611, 53580, 64104, 53580, 51286, 53483, 50914, 51494, 51003, 51275, 50905, 51489, 50873, 52070, 50873, 51578, 50845, 57633, 51196, 53389, 52045, 50444, 54727, 57099, 54727, 51173, 51275, 50822, 51489, 50854, 52070, 50854, 51578, 52863, 53880, 51551, 67094, 51518, 51708, 51486, 51777, 50901, 51489, 50849, 51578, 50849, 59439, 53241, 53100, 52536, 50426, 51777, 50827, 51489, 50822, 51578, 53513, 53880, 50836, 51323, 53925, 53580, 51100, 52232, 50802, 51777, 50822, 63885, 51578, 53103, 52491, 51191, 51770, 51072, 52612, 53153, 51777, 50810, 51489, 50854, 51578, 50833, 50700, 50277, 60101, 55982, 51224, 65243, 53319, 51591, 54022, 65202, 51326, 50859, 53400, 51029, 53278, 51732, 54165, 52379, 54008, 52017, 58001, 50950, 52533, 50950, 52040, 50950, 51232, 50950, 51512, 50950, 51429, 50950, 56617, 51353, 52033, 52250, 52187, 51655, 52225, 52149, 51217, 50817, 51042, 51031, 50868, 69585, 51031, 50935, 52220, 54567, 54858, 50584, 58112, 50588, 54504, 52533, 50950, 52040, 50882, 51232, 50950, 51512, 50894, 51429, 50950, 51217, 50950, 64022, 56384, 50992, 69998, 52409, 54567, 55270, 51205, 50811, 52172, 50812, 52150, 50803, 52040, 50858, 51232, 50821, 51512, 50859, 51429, 50859, 51042, 59371, 69992, 60877, 52972, 55768, 54584, 62664, 53319, 50828, 54022, 50802, 52533, 50882, 51217, 50858, 51042, 60709, 69992, 55768, 60466, 51019, 51059, 52172, 50897, 52150, 50803, 52040, 50821, 51232, 50821, 51512, 50859, 51429, 50859, 51042, 60410, 66246, 64582, 51747, 55768, 50912, 50448, 53319, 51159, 54022, 58348, 52533, 50950, 52040, 50894, 51232, 50950, 51512, 50882, 51429, 50950, 51217, 50803, 51042, 65894, 78875, 62354, 55976, 54567, 58229, 51042, 60410, 66246, 54418, 62373, 50457, 52172 ]

[ 0, 250, 13363, 28191, 5175, 25771, 15229, 14, 36193, 5, 30443, 7, 10, 4714, 6, 5679, 26709, 2369, 18795, 4, 44544, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 8, 1337, 17796, 15561, 35810, 561, 10, 5797, 990, 1506, 9, 2933, 6, 15352, 30054, 23225, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 30853, 23, 10, 7212, 20889, 6, 2351, 41, 24111, 8, 22845, 41805, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50449, 73160, 58576, 50450, 52584, 51717, 51416, 51492, 59999, 51492, 55485, 51717, 50454, 50665, 50340, 58576, 50457, 50665, 50344, 58576, 50459, 50665, 50342, 56373, 50799, 50665, 50344, 54060, 50416, 50665, 50338, 56373, 50420, 50665, 50340, 59641, 50424, 50665, 50335, 52794, 50425, 73160, 52794, 50427, 50665, 50339, 54618, 50434, 50665, 50340, 65330, 50436, 50665, 50335, 57070, 50440, 50665, 50342, 54618, 50445, 50665, 50334, 54618, 50449, 50665, 50338, 57070, 50455, 50665, 50340, 52835, 50456, 50665, 50337, 57070, 50799, 73160, 52835, 50415, 50665, 50337, 57070, 50420, 50665, 50338, 54618, 50426, 50665, 50336, 57070, 50429, 50665, 50340, 52462, 50433, 50665, 50342, 52835, 50437, 50665, 50335, 52462, 50440, 50665, 50339, 52462, 50442, 50665, 50342, 57070, 50446, 50665, 50338, 54618, 50451, 50665, 50344, 57070, 50452, 50665, 50340, 54618, 50456, 50665, 50342, 52462, 50458, 50665, 50336, 54618, 50799, 50665, 50334, 54618, 50419, 50665, 50341, 52462, 50421, 50665, 50338, 54618, 50425, 50665, 50335, 69066, 50428, 50665, 50340, 52462, 50431, 50665, 50337, 52462, 50434, 50665, 50342, 53306, 50438, 50665, 50339, 65330, 50446, 50665, 50337, 54618, 50450, 50665, 50340, 52462, 50455, 50665, 50342, 52835, 50456, 50665, 50337, 54618, 50459, 71518, 52835, 50799, 58559, 50867, 51132, 55048, 50971, 50665, 50338, 57070, 50665, 50340, 51693, 50417, 58559, 50959, 51132, 59922, 51000, 50419, 73160, 57070, 50420, 57073, 50959, 51137, 59922, 63521, 57755, 50959, 51602, 59922, 57203, 58559, 50867, 51132, 55048, 51126, 50665, 50340, 59641, 50428, 50665, 50336, 59641, 50429, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 53187, 71598, 50665, 50339, 59641, 50435, 57755, 50959, 51602, 59922, 75753, 50665, 50342, 59641, 50438, 58559, 50867, 51132, 55048, 63780, 58559, 50959, 51132, 59922, 74965, 50665, 50338, 63069, 50444, 57073, 50822, 51137, 53187, 63491, 57755, 50959, 51602, 59922, 51297, 50448, 73160, 63069, 50450, 58559, 50867, 51132, 55048, 79859, 50665, 50339, 63069, 50453, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 71439, 50665, 50341, 63069, 50459, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 55048, 66981, 58559, 50959, 51132, 59922, 58333, 57073, 50959, 51137, 59922, 63521, 57755, 50959, 51602, 59922, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 53187, 64568, 57755, 50959, 51602, 59922, 61389, 58559, 50867, 51132, 55048, 63780, 58559, 50959, 51132, 59922, 57522, 57073, 50822, 51137, 53187, 63491, 57755, 50959, 51602, 59922, 60258, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 68248, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 55048, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 63711, 56551, 57755, 50959, 51602, 59922, 62320, 50864, 50799, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 50897, 56980, 57717, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 60960, 58594, 58559, 50959, 51132, 59922, 63711, 54854, 57073, 50822, 51137, 50812, 56980, 66247, 63711, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 66425, 50767, 50326, 60844, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50812, 56980, 57717, 63711, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 56071, 50941, 50451, 50767, 50326, 50878, 50453, 58559, 50959, 51132, 59922, 56685, 55835, 57073, 50959, 51137, 59922, 51128, 50457, 56980, 61219, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 55048, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 64359, 58428, 52096, 50438, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 63711, 56551, 57755, 50959, 51602, 59922, 62320, 50864, 50799, 58559, 50867, 51132, 55048, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 60960, 58594, 58559, 50959, 51132, 59922, 63711, 54854, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 56071, 61096, 58559, 50959, 51132, 59922, 56685, 55835, 57073, 50959, 51137, 59922, 68248, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 50836, 51132, 51492, 67023, 52149, 50832, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 59922, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 55048, 68364, 58559, 50959, 51132, 59922, 57378, 57073, 50822, 51137, 50380, 53102, 51084, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 56442, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50380, 53102, 51084, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 60754, 58559, 50959, 51132, 59922, 59593, 57073, 50959, 51137, 59922, 63711, 56551, 57755, 50959, 51602, 59922, 62320, 50864, 50799, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 56071, 58160, 58559, 50959, 51132, 63076, 53225, 58333, 57073, 50959, 51137, 50897, 56980, 57717, 56685, 57559, 57755, 50959, 51602, 63076, 55785, 57203, 58559, 50867, 51132, 50836, 50767, 50326, 66247, 60960, 58594, 58559, 50959, 51132, 59922, 63711, 54854, 57073, 50822, 51137, 50812, 56980, 66247, 63711, 57869, 57755, 50959, 51602, 59922, 62320, 54728, 58559, 50867, 51132, 55048, 56071, 66425, 50767, 50326, 60844, 58559, 50959, 51132, 59922, 56685, 53524, 57073, 50822, 51137, 50812, 56980, 57717, 63711, 57291, 57755, 50959, 51602, 59922, 62320, 54915, 58559, 50867, 51132, 55048, 56071, 50941, 50451, 50767, 50326, 50878, 50453, 58559, 50959, 51132, 59922, 56685, 55835, 57073, 50959, 51137, 59922, 51128, 50457, 56980, 61219, 57755, 50959, 51602, 59922, 51297, 50799, 58559, 50867, 51132, 50836, 53733, 52829, 55321, 52829, 53511, 52829 ]

[ 0, 250, 765, 37903, 9, 5175, 930, 19, 10, 7212, 20889, 6, 4246, 21072, 6, 26432, 636, 3938, 22052, 6, 3459, 8669, 6, 9590, 6, 8, 10, 6755, 12547, 6, 2351, 10, 15352, 30054, 8, 1372, 2365, 5466, 11, 5, 762, 9, 274, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50415, 51425, 51000, 51262, 50880, 76753, 51319, 50421, 52825, 60743, 51262, 61799, 51536, 50840, 52825, 62425, 51262, 58853, 51630, 63539, 51536, 50810, 52825, 67552, 51262, 66880, 51630, 50827, 52967, 50820, 51632, 51134, 50448, 51536, 50864, 52825, 64698, 55223, 51262, 50984, 51536, 64526, 51630, 51000, 52967, 50984, 51762, 50457, 52825, 51252, 54033, 53800, 59322, 51262, 51000, 51536, 50813, 54033, 50846, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 50846, 52825, 51041, 57404, 54033, 50825, 53749, 51833, 54763, 61083, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52825, 50846, 52803, 53479, 60561, 51239, 56839, 53749, 51252, 51287, 52439, 58406, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52825, 50820, 52803, 51833, 65004, 52967, 50883, 53749, 51000, 78605, 62438, 74746, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52967, 50825, 53749, 51319, 51287, 52272, 68343, 54033, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52967, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 51630, 50883, 53143, 51239, 58245, 51262, 50825, 52967, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 51630, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51543, 50883, 52967, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 71275, 53143, 50891, 52798, 53270, 62120, 51543, 50820, 52967, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 51630, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51543, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 54033, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 54033, 50825, 53749, 51833, 59094, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52978, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51630, 50883, 52978, 51833, 65004, 52825, 50820, 54033, 50883, 53749, 51000, 52112, 50442, 74746, 53143, 50891, 52798, 53270, 62120, 71275, 52978, 50891, 51632, 53662, 51437, 58321, 54033, 50825, 53749, 51319, 52470, 50451, 54033, 50883, 52798, 54835, 59172, 51041, 57208, 51630, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 54033, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 52395, 50883, 53143, 51239, 58245, 51262, 50825, 52803, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 52395, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52803, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 52395, 50820, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 52395, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 52803, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 50846, 52825, 51041, 57404, 52803, 50825, 53749, 51833, 59094, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52825, 50846, 52803, 53479, 60561, 51239, 56839, 53749, 51252, 51468, 50433, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52825, 50820, 52803, 51833, 65004, 52967, 50883, 53749, 51000, 52112, 50442, 74746, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52967, 50825, 53749, 51319, 52470, 50451, 52803, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52967, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 51630, 50883, 53143, 51239, 58245, 51262, 50825, 52967, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 51630, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51543, 50883, 52967, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 71275, 53143, 50891, 52798, 53270, 62120, 51543, 50820, 52967, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 51630, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51543, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 54033, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 54033, 50825, 53749, 51833, 59094, 51355, 50883, 53143, 51239, 58245, 51262, 50825, 52978, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 69660, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51630, 50883, 52978, 51833, 65004, 52825, 50820, 54033, 50883, 53749, 51000, 52112, 50442, 74746, 53143, 50891, 52798, 53270, 62120, 71275, 52978, 50891, 51632, 53662, 51437, 58321, 54033, 50825, 53749, 51319, 52470, 50451, 54033, 50883, 52798, 54835, 59172, 51041, 57208, 51630, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 54033, 51000, 52385, 50460, 52876, 51239, 50825, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 52395, 50883, 53143, 51239, 58245, 51262, 50825, 52803, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 52395, 50846, 53143, 50820, 52798, 50883, 51632, 53871, 50898, 58316, 51536, 50883, 52803, 51833, 65004, 52825, 50820, 52876, 50883, 53749, 51000, 52112, 50442, 51250, 50825, 52395, 50820, 53143, 50891, 52798, 53270, 62120, 51536, 50820, 52803, 50891, 51632, 53662, 51437, 58321, 52876, 50825, 53749, 51319, 52470, 50451, 52395, 50891, 52876, 50883, 52798, 54835, 59172, 51041, 57208, 51536, 50825, 51632, 52411, 51239, 62662, 51262, 50883, 52876, 51000, 52385, 50460, 51536, 77608, 51601, 51154, 52482, 51262, 50846, 51632, 51166, 50418, 52825, 50883, 53143, 51041, 57404, 51355, 50883, 52803, 58304, 51262, 50864, 51536, 50813, 52978, 50880, 51468, 50427, 52825, 50820, 53143, 51373, 56839, 51355, 50864, 52803, 71372, 51536, 51000, 52978, 50813, 51632, 50840, 51762, 50436, 52825, 51000, 53143, 51252, 53749, 51437, 65004, 51355, 51000, 52803, 51000, 54224, 51437, 60547, 52978, 51000, 51632, 50840, 56413, 57460, 57920, 54200, 75534, 66137, 56009, 61800, 56083, 55223, 51632, 50840, 62179, 51437, 64676, 64526, 55635, 54200, 56410, 62037, 51632, 50840, 60382, 54763, 50373, 63599, 59025, 52876, 50846, 58599, 74141, 50821, 51468, 51601, 53143, 50883, 51632, 60075, 55476, 61158, 51262, 51239, 57404, 52825, 50883, 52876, 50825, 53749, 51833, 59094, 51250, 50883, 51630, 50883, 53143, 51239, 58245, 51262, 50825, 52967, 53479, 60561, 51239, 56839, 52825, 50846, 53749, 51252, 51468, 50433, 62594, 51630, 50846, 53143, 50820, 52798, 50883, 51632 ]

[ 0, 250, 2933, 8, 15352, 30054, 5175, 2214, 19, 3152, 16882, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 16, 11, 230, 10431, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 1171, 2060, 406, 6, 211, 6, 12608, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50796, 50796, 50799, 53195, 62601, 53141, 55804, 54825, 76190, 52758, 68273, 55625, 55256, 63512, 50818, 54322, 54085, 63512, 50818, 54322, 52193, 63512, 50818, 54322, 53736, 63512, 50818, 54322, 50817, 50799, 63512, 50865, 54322, 50860, 51064, 62601, 51032, 55804, 51316, 67008, 63512, 50809, 54322, 57646, 51032, 54381, 51076, 58242, 63512, 50865, 54322, 65644, 69954, 51292, 71692, 63512, 50809, 54322, 58221, 65561, 51438, 52726, 51786, 51407, 50433, 63512, 50795, 54110, 59898, 51032, 57880, 51316, 51009, 50440, 63512, 50809, 54110, 60869, 63512, 50865, 54322, 54554, 63512, 50818, 54322, 54085, 63512, 50818, 54322, 52193, 63512, 50818, 54322, 53736, 63512, 50818, 54322, 50817, 50799, 63512, 50865, 54322, 50860, 53195, 62601, 53141, 55804, 54825, 51300, 50421, 63512, 50809, 54322, 58242, 63512, 50865, 54322, 66605, 63512, 50809, 54322, 59009, 63512, 50795, 54110, 52125, 52758, 68273, 63512, 50809, 54110, 50811, 55625, 68937, 63512, 50865, 54322, 56059, 65798, 52175, 63512, 50818, 54322, 50817, 51885, 53532, 63512, 50818, 54322, 50817, 51386, 59730, 51611, 52884, 63512, 50818, 54322, 50817, 52305, 58150, 55241, 54871, 63512, 50818, 54322, 50817, 55596, 56628, 65798, 50811, 50799, 63512, 50865, 54322, 50860, 51064, 62601, 51032, 55804, 51316, 67008, 63512, 50809, 54322, 57646, 51032, 54381, 51076, 58242, 63512, 50865, 54322, 65644, 69954, 51292, 71692, 63512, 50809, 54322, 58221, 65561, 51438, 52726, 51786, 51407, 50433, 63512, 50795, 54110, 59898, 51032, 57880, 51316, 51009, 50440, 63512, 50809, 54110, 60869, 63512, 50865, 54322, 54554, 63512, 50818, 54322, 54085, 63512, 50818, 54322, 52193, 63512, 50818, 54322, 53736, 63512, 50818, 54322, 50817, 57211, 54322, 50993, 54322, 68173, 51815, 50993, 51815, 60493, 52473, 52737, 52473, 52737, 51282, 52903, 51282, 52903, 51557, 52903, 51557, 52903, 57448, 72850, 52899, 70373, 50803, 52007, 52801, 51436, 50803, 51694, 53300, 51729, 50993, 51361, 72064, 52010, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 51755, 52010, 51039, 50803, 51694, 53300, 51729, 50993, 51361, 62922, 72064, 52010, 51513, 66475, 50803, 52007, 50803, 51899, 52010, 51729, 53532, 51513, 63428, 50803, 51729, 50802, 51755, 50803, 52899, 70373, 50803, 52007, 52801, 51436, 50803, 51694, 53300, 51729, 50993, 51361, 72064, 52010, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51849, 51151, 57665, 51039, 50803, 51694, 53300, 51729, 50993, 51361, 62922, 52057, 51495, 78824, 51513, 53609, 51281, 50993, 51180, 50803, 52007, 52116, 51341, 52409, 52010, 51729, 53532, 51495, 50803, 51513, 63428, 50803, 51729, 50802, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 72378, 53300, 51729, 50993, 51361, 52674, 51846, 57838, 72064, 52010, 51513, 66475, 50803, 52007, 50803, 51899, 52010, 51729, 53532, 51513, 63428, 50803, 51729, 50802, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 72378, 53300, 51729, 50993, 51361, 52674, 51846, 57838, 52057, 51495, 78824, 51513, 53609, 51281, 50993, 51180, 50803, 52007, 52116, 51341, 50803, 51885, 50813, 51511, 52791, 52010, 51729, 53532, 51495, 50803, 51885, 50813, 51511, 68676, 63428, 50803, 51729, 54934, 51885, 50813, 51511, 50811, 75961, 59110, 50803, 51990, 50802, 52708, 51717, 52077, 51717, 52655, 51717, 50420, 50998, 65765, 50803, 51729, 52801, 51513, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 52057, 51317, 51009, 57665, 51513, 53609, 51729, 66475, 50803, 51265, 67501, 50803, 51436, 50803, 51899, 52010, 51659, 55680, 51726, 63428, 50803, 51425, 52937, 51990, 50803, 75961, 51029, 57665, 50420, 50998, 65765, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 62922, 52057, 51078, 51009, 57665, 51781, 66475, 50803, 51729, 50803, 51899, 52010, 51659, 53532, 51781, 63428, 50803, 51659, 50802, 75961, 59110, 50803, 51990, 50802, 52708, 51717, 52077, 53295, 52655, 53295, 50420, 50998, 65765, 50803, 51729, 52801, 51513, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 52057, 51078, 51009, 57665, 51513, 53609, 51729, 66475, 50803, 51265, 67501, 50803, 51436, 50803, 51899, 52010, 51659, 55680, 51726, 63428, 50803, 51425, 52937, 51990, 50803, 75961, 51029, 57665, 50420, 50998, 65765, 51973, 51078, 54565, 53300, 51659, 50993, 51361, 62922, 52057, 51495, 68850, 51009, 57665, 51781, 53609, 51281, 50993, 51180, 50803, 51729, 52116, 51341, 52409, 52010, 74914, 51855, 50845, 51882, 60489, 51495, 50803, 51781, 63428, 50803, 51659, 50802, 52088, 50845, 52753, 50845, 52525, 50845, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 72378, 53300, 51729, 50993, 51361, 52674, 51846, 57838, 72064, 52010, 51513, 66475, 50803, 52007, 50803, 51899, 52010, 51729, 53532, 51513, 63428, 50803, 51729, 50802, 50799, 51846, 59110, 50803, 52899, 52410, 51311, 65765, 50803, 52007, 52801, 51436, 51973, 51317, 54565, 53300, 51729, 50993, 51361, 52057, 51317, 51009, 57665, 51436, 53609, 52007, 66475, 50803, 51726, 67501, 50803, 51425, 50803, 51899, 52010, 51729, 55680, 53180, 63428, 50803, 51915, 52937, 52899, 50803, 50799, 51846, 51029, 57665, 50420, 51311, 65765, 51973, 51317, 51300, 51885, 50813, 51511, 52750, 52409, 53300, 51885, 50813, 51511, 52750, 52409, 55866, 51729, 60493, 50832, 52674, 51846, 51009, 51885, 50813, 51511, 52750, 52409, 52057, 51495, 50803, 51885, 50813, 51511, 52750, 52409, 50803, 51513, 53609, 51281, 50993, 51885, 50813, 51511, 52750, 52409, 51880, 52284, 50832, 50803, 52007, 52911, 51885, 50813, 51511, 52750, 52409, 52116, 51341, 50803, 51885, 50813, 51511, 52750, 52409, 50803, 51729, 53532, 51495, 50803, 51885, 50813, 51511, 52750, 52409, 55866, 51513, 52163, 50832, 50803, 51729, 54934, 51885, 50813, 51511, 52750, 52409, 50803, 50799, 63512, 50865, 54322, 50860, 51064, 50811, 65798, 54774, 55866, 51957, 50824, 50416, 51032, 55804, 51316, 50860, 51039, 55866, 50421, 63512, 50809, 54322, 57646, 51032, 54381, 51076, 52084, 59174, 63512, 50865, 54322, 65644, 69954, 76542, 51694, 51880, 53300, 65798, 50803, 51957, 58874, 63512, 50809, 54322, 58221, 65561, 51438, 52726, 51786, 51407, 72904, 52448, 55866, 51857, 70245, 63512, 50795, 54110, 59898, 66126, 52224 ]

[ 0, 250, 20902, 8, 15352, 30054, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 230, 3694, 19, 10, 155, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 6, 17407, 30, 41, 20425, 648, 2829, 2933, 6711, 6, 19, 10, 33215, 16739, 9, 381, 6, 274, 6, 381, 6, 8, 274, 401, 1328, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50634, 51841, 52903, 51315, 54484, 50997, 50894, 50906, 55492, 51026, 50882, 50861, 54856, 51040, 50882, 51028, 53917, 51027, 75556, 55381, 50916, 50894, 50968, 54952, 50997, 73485, 50882, 76898, 52369, 50951, 51352, 58375, 51315, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835, 50997, 50971, 57551, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835, 50997, 52386, 50317, 54529, 63009, 57551, 50874, 50968, 54448, 51027, 66408, 53272, 51279, 66408, 53998, 51027, 66408, 53945, 50634, 51315, 67886, 59356, 50634, 50444, 50634, 51027, 66750, 50981, 50447, 50634, 50450, 50634, 51279, 57186, 50633, 50456, 50633, 51027, 66408, 60977, 50633, 58375, 51050, 50874, 50951, 54644, 50997, 66445, 55266, 50968, 53450, 51234, 64134, 53705, 50997, 61316, 53891, 51050, 65633, 53999, 50997, 64134, 54058, 51234, 76819, 54199, 50997, 51604, 50328, 50857, 57551, 50874, 50999, 51293, 56945, 51604, 50332, 53383, 51279, 51604, 50329, 53705, 51027, 51604, 50332, 53891, 51315, 51764, 50337, 53524, 51027, 53996, 51279, 54232, 51027, 51604, 50332, 50857, 54197, 50874, 65218, 51487, 54644, 50997, 51604, 50333, 55266, 51430, 53450, 51234, 78164, 53705, 50997, 51604, 50328, 53891, 51050, 62154, 51047, 51339, 53999, 50997, 51604, 50332, 55876, 51146, 54004, 51234, 51604, 50328, 54199, 50997, 70859, 50844, 51081, 57400, 63009, 57551, 50874, 77839, 63268, 50999, 54644, 51027, 66408, 53272, 51279, 66408, 53998, 51027, 66408, 53945, 51315, 67886, 54758, 51027, 66750, 57105, 51279, 54232, 51027, 66408, 50892, 54197, 50874, 50951, 54644, 50997, 66445, 55266, 50968, 53450, 51234, 64134, 53705, 50997, 61316, 53891, 51050, 65633, 53999, 50997, 64134, 54058, 51234, 76819, 54199, 50997, 51604, 50328, 50857, 57551, 50874, 50999, 51293, 56945, 51604, 50332, 53383, 51279, 51604, 50329, 53705, 51027, 51604, 50332, 53891, 51315, 51764, 50337, 53524, 51027, 53996, 51279, 54232, 51027, 51604, 50332, 50857, 54197, 50874, 65218, 51487, 54644, 50997, 51604, 50333, 55266, 51430, 53450, 51234, 78164, 53705, 50997, 51604, 50328, 53891, 50634, 51050, 62154, 51047, 51081, 56714, 50634, 50444, 50634, 50997, 78164, 56518, 50633, 50450, 50633, 51234, 51604, 50332, 57168, 50633, 50456, 50633, 50997, 51604, 50335, 57400, 50633, 50799, 51814, 63118, 50634, 50420, 51062, 53770, 51085, 61528, 61352, 54100, 50951, 53913, 51062, 53999, 51085, 68996, 68545, 54058, 50951, 54771, 51085, 68996, 51712, 50328, 50892, 58479, 54644, 51220, 55266, 51399, 53450, 51146, 54100, 51430, 53913, 51399, 51452, 52591, 51966, 51712, 50298, 74191, 53770, 51114, 54100, 51114, 53913, 51966, 51853, 50298, 51712, 50326, 53999, 51114, 54058, 51966, 52104, 50298, 51712, 50322, 54771, 51081, 50892, 57923, 54644, 50931, 55266, 50951, 53450, 51147, 54100, 51081, 53913, 51220, 51047, 54734, 51293, 51085, 50851, 51050, 53728, 51085, 53142, 51050, 52222, 56546, 54498, 50931, 59124, 51062, 50932, 58439, 51293, 51197, 50851, 51176, 50844, 51081, 50878, 50418, 51147, 68655, 51197, 53142, 51176, 52222, 50422, 50951, 58382, 51001, 54498, 50876, 59124, 50931, 50932, 54662, 51293, 51050, 50851, 50997, 54351, 51050, 53142, 50997, 52222, 56546, 54498, 50931, 59124, 51062, 50932, 53997, 51293, 51050, 50851, 66883, 51405, 50878, 50418, 51399, 50955, 60284, 53142, 50900, 52222, 50422, 51062, 58382, 51081, 56692, 50634, 50951, 63939, 50634, 50444, 50634, 50447, 50633, 50450, 50633, 51062, 77204, 50633, 50456, 50633, 50459, 50633, 54734, 51359, 51085, 50844, 51050, 59636, 50634, 50420, 51085, 52222, 51050, 51714, 53523, 60559, 53912, 50871, 73273, 52728, 50876, 51807, 50328, 50889, 58439, 51359, 51197, 50844, 51176, 50833, 67639, 51081, 67068, 74803, 51147, 62714, 51197, 52222, 51176, 51714, 50422, 58882, 71049, 56040, 77240, 53912, 50900, 60559, 52728, 50871, 73273, 50889, 54662, 51359, 72753, 50997, 53932, 51050, 52222, 50997, 51714, 53523, 60559, 53912, 50871, 73273, 52728, 50876, 51807, 50328, 50889, 53997, 51151, 72753, 51026, 51264, 62784, 51001, 50925, 51405, 67068, 72814, 51399, 50910, 60284, 52222, 50900, 51714, 50422, 59725, 51062, 56382, 50906, 51807, 50326, 53912, 50634, 50861, 79327, 58627, 50634, 50444, 50634, 50447, 50633, 50450, 50633, 50876, 51807, 50328, 63433, 50633, 50456, 50633, 50459, 50633, 54197, 71423, 50634, 60284, 50800, 75032, 69084, 51062, 52450, 51050, 50800, 66188, 68278, 51062, 53974, 51050, 53913, 51050, 50859, 66695, 66736, 51062, 54811, 51050, 50800, 66188, 68278, 51062, 51757, 51050, 53586, 51050, 50800, 66188, 68278, 51062, 50859, 52591, 51378, 50800, 67423, 70597, 51399, 53950, 51378, 50800, 67423, 70597, 51399, 53974, 51378, 50800, 67423, 70597, 51399, 51724, 51378, 53177, 50322, 52530, 50324, 52530, 50329, 61860, 51176, 51958, 50324, 52297, 50326, 52297, 50331, 51054, 54197, 57437, 51050, 50800, 66188, 68278, 51062, 53950, 51050, 50800, 66188, 68278, 51062, 53974, 51050, 53913, 51050, 50859, 66695, 66736, 51062, 54811, 51050, 50800, 66188, 68278, 51062, 51757, 51050, 53586, 51050, 50800, 66188, 68278, 51062, 50859, 52591, 51315, 50800, 58368, 67423, 51220, 53950, 51315, 50800, 58368, 67423, 51220, 53974, 51315, 50800, 58368, 67423, 51220, 51724, 51315, 53177, 50320, 52530, 50322, 52530, 50327, 61860, 51315, 77079, 52297, 50322, 52297, 50324, 51054, 54197, 52864, 51050, 50882, 64944, 63459, 51062, 54631, 51050, 50882, 64944, 63459, 51062, 54440, 51050, 53470, 51050, 50894, 72862, 62679, 51062, 54952, 51050, 50882, 64944, 63459, 51062, 54988, 51050, 53702, 51050, 50882, 64944, 63459, 51062, 50894, 52591, 51378, 50882, 51114, 50858, 51147, 50858, 51399, 54631, 51378, 50882, 51114, 50858, 51147, 50858, 51399, 54440, 51378, 50882, 51114, 50858, 51147, 50858, 51399, 55381, 51378, 50824, 51114, 53751, 50324, 53751, 50329, 54145, 51176, 72970, 53531, 50326, 53531, 50331, 50824, 54197, 63378, 51696, 51220, 51696, 51430, 52208, 60284, 54851, 51050, 54729, 51050, 52125, 51050, 56209, 51050, 55149, 51050, 52325, 51050, 50879, 54734, 63861, 63378, 76573, 50802, 51430, 52410, 51247, 53194, 50297, 63378, 53194, 50327, 53194, 50332, 52125, 51247, 53194, 50297, 63378, 76573, 50802, 51430, 52313, 51247, 53194, 50297, 63378, 53194, 50327, 53194, 50332, 50802, 58375, 51315, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835, 50997, 50971, 57551, 55869, 51027, 54689, 51279, 55487, 51027, 55108, 50634, 51315, 63231, 50634, 50444, 50634, 51027, 58554, 50634, 50450, 50634, 51279, 60754, 50633, 50456, 50633, 51027, 61545, 50633, 58375, 51050, 55869, 50997, 54689, 51234, 55487, 50997, 55108, 51050, 55434, 50997, 55256, 51234, 55835 ]

[ 0, 250, 765, 3152, 2214, 3820, 19, 1007, 8, 15073, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 6, 24, 22848, 13363, 28191, 34879, 8, 41, 9066, 5466, 6, 70, 150, 6780, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 53371, 50840, 80073, 50953, 68743, 53371, 50840, 80073, 50953, 58093, 53371, 50808, 63420, 50953, 52734, 53371, 50840, 80073, 50953, 58936, 53371, 50840, 80073, 50953, 55081, 53371, 50808, 63420, 50953, 52450, 53371, 50840, 80073, 50953, 63692, 53371, 50840, 80073, 50953, 56338, 53371, 50808, 63420, 50953, 52559, 52971, 50805, 69619, 52022, 52446, 53371, 50840, 80073, 50953, 63608, 53371, 50840, 80073, 50953, 57108, 53371, 50808, 63420, 50953, 52711, 53371, 50840, 80073, 50953, 59137, 53371, 50840, 80073, 50953, 55761, 53371, 50808, 63420, 50953, 52741, 53371, 50840, 80073, 50953, 64703, 53371, 50840, 80073, 50953, 58045, 53371, 50808, 63420, 50953, 52643, 77259, 51133, 50805, 50799, 53371, 50840, 80073, 50953, 68743, 53371, 50840, 80073, 50953, 58093, 53371, 50808, 63420, 50953, 52734, 53371, 50840, 80073, 50953, 58936, 53371, 50840, 80073, 50953, 55081, 53371, 50808, 63420, 50953, 52450, 53371, 50840, 80073, 50953, 63692, 53371, 50840, 80073, 50953, 56338, 53371, 50808, 63420, 50953, 52559, 52971, 50805, 69619, 52022, 52446, 53371, 50840, 80073, 50953, 63608, 53371, 50840, 80073, 50953, 57108, 53371, 50808, 63420, 50953, 52711, 53371, 50840, 80073, 50953, 59137, 53371, 50840, 80073, 50953, 55761, 53371, 50808, 63420, 50953, 52741, 53371, 50840, 80073, 50953, 64703, 53371, 50840, 80073, 50953, 58045, 53371, 50808, 63420, 50953, 52643, 77259, 51133, 50805, 50799, 53371, 50840, 50953, 74072, 68743, 53371, 50840, 50953, 50381, 53823, 58093, 53371, 50840, 50953, 50381, 54936, 60400, 53371, 50840, 50953, 75072, 54507, 52971, 50805, 69619, 52022, 52504, 55064, 58936, 51224, 52483, 53371, 50840, 50953, 63692, 53371, 50840, 50953, 50381, 53823, 56338, 53371, 50840, 50953, 50381, 54936, 59955, 53371, 50840, 50953, 75072, 53810, 77259, 51133, 64588, 52446, 53371, 50840, 50953, 74072, 63608, 53371, 50840, 50953, 50381, 53823, 57108, 53371, 50840, 50953, 50381, 54936, 59503, 53371, 50840, 50953, 75072, 54400, 52971, 50805, 69619, 52022, 52504, 55152, 52596, 53371, 50840, 50953, 74072, 64703, 53371, 50840, 50953, 50381, 53823, 58045, 53371, 50840, 50953, 50381, 54936, 61519, 53371, 50840, 50953, 75072, 54166, 77259, 51133, 52504, 56151, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 69679, 51186, 67433, 53848, 77500, 61663, 51133, 67433, 50808, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 69679, 51186, 67433, 53848, 77500, 61663, 51133, 50808, 52018, 67433, 50808, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 69679, 51186, 67433, 53848, 77500, 61663, 51133, 67433, 50808, 50799, 53371, 50840, 78964, 56023, 50416, 53371, 50840, 50953, 58093, 53371, 50840, 50953, 53228, 56023, 50419, 53371, 50840, 50953, 54507, 77500, 61663, 51133, 52423, 51582, 53184, 53371, 50840, 50953, 53228, 56023, 50425, 53371, 50840, 50953, 53548, 53371, 50840, 78964, 56023, 50428, 53371, 50840, 50953, 56338, 66045, 52022, 52704, 51582, 52559, 53371, 50840, 78964, 56023, 50434, 53371, 50840, 50953, 55782, 53371, 50840, 50953, 53228, 56023, 50437, 53371, 50840, 50953, 53813, 77500, 61663, 51133, 52423, 51582, 54134, 53371, 50840, 50953, 53228, 56023, 50443, 53371, 50840, 50953, 54400, 53371, 50840, 78964, 56023, 50446, 53371, 50840, 50953, 55761, 69679, 51186, 52704, 51582, 52741, 53371, 50840, 78964, 56023, 50452, 53371, 50840, 50953, 58045, 53371, 50840, 50953, 53228, 56023, 50455, 53371, 50840, 50953, 54166, 66045, 52022, 67433, 53848, 77500, 61663, 51133, 67433, 50808, 50799, 53371, 50840, 78964, 68743, 53371, 50840, 50953, 52411, 58093, 53371, 50840, 78964, 60400, 53371, 50840, 50953, 52411, 54507, 52971, 50805, 69619, 52022, 64588, 52483, 53371, 50840, 78964, 63692, 53371, 50840, 50953, 52411, 56338, 53371, 50840, 78964, 59955, 53371, 50840, 50953, 52411, 53810, 77259, 51133, 52504, 55152, 52446, 53371, 50840, 78964, 63608, 53371, 50840, 50953, 52411, 57108, 53371, 50840, 78964, 59503, 53371, 50840, 50953, 52411, 54400, 52971, 50805, 69619, 52022, 64588, 52596, 53371, 50840, 78964, 64703, 53371, 50840, 50953, 52411, 58045, 53371, 50840, 78964, 61519, 53371, 50840, 50953, 52411, 54166, 77259, 51133, 52504, 69672, 50799, 53371, 50808, 50953, 54275, 53371, 50808, 50953, 52734, 53371, 50808, 50953, 53184, 53371, 50808, 50953, 52450, 53371, 50808, 50953, 53847, 53371, 50808, 50953, 52559, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 53263, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 52599, 53371, 50808, 50953, 54134, 53371, 50808, 50953, 52711, 53371, 50808, 50953, 53668, 53371, 50808, 50953, 52741, 53371, 50808, 50953, 53987, 53371, 50808, 50953, 52643, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 53848, 74613, 78995, 51347, 50846, 51404, 50846, 52646, 50808, 50799, 53371, 50808, 50953, 52423, 60770, 53371, 50808, 50953, 52734, 53371, 50808, 50953, 52704, 57572, 53371, 50808, 50953, 52450, 53371, 50808, 50953, 52423, 58983, 53371, 50808, 50953, 52559, 74613 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 15073, 6, 3185, 30, 10, 13305, 14, 1974, 149, 10, 33215, 16739, 9, 230, 6, 274, 6, 272, 6, 230, 6, 8, 1918, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 6780, 10, 1769, 20889, 6, 24, 7630, 6568, 8597, 9, 657, 8, 115, 2905, 1807, 25, 10, 12365, 19834, 13, 10, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50906, 52266, 50902, 51933, 50997, 51264, 50871, 51264, 50450, 50931, 51090, 54960, 52266, 51027, 51264, 50871, 51264, 50451, 50906, 50911, 50457, 50877, 50911, 51601, 51026, 51264, 50899, 51264, 50871, 52017, 50906, 51655, 51601, 50899, 51551, 50871, 51336, 51085, 51264, 50997, 51264, 50440, 50916, 51551, 50861, 51336, 51809, 50861, 52370, 50297, 51538, 50900, 52024, 50422, 50877, 50911, 50428, 50861, 50911, 50434, 50877, 56082, 50452, 51050, 50889, 51809, 51050, 51264, 50453, 50861, 70891, 50877, 50911, 52177, 50871, 72341, 53177, 50297, 51141, 50899, 51141, 50429, 50906, 70538, 50861, 69797, 53177, 50297, 51141, 50916, 51141, 78202, 70087, 50871, 51655, 50877, 52017, 51050, 53363, 50900, 53363, 50796, 50454, 50877, 50911, 50460, 50861, 50911, 52478, 50871, 52266, 50997, 51264, 50899, 51264, 50454, 50871, 51090, 52478, 50916, 51364, 50861, 51496, 50900, 51077, 50436, 50871, 50911, 50443, 50916, 56135, 52370, 50292, 51077, 50449, 50871, 50911, 50455, 50916, 66677, 51090, 53069, 50871, 51336, 50877, 51551, 51050, 52024, 50900, 52024, 50443, 50916, 56135, 50911, 50449, 50871, 70866, 51090, 50461, 50861, 57952, 50911, 53069, 50871, 51336, 50877, 51551, 50456, 50877, 50911, 54960, 57487, 50902, 53177, 50297, 51264, 50900, 51264, 50871, 56300, 63174, 56810, 50877, 51496, 50456, 50877, 52017, 52591, 51120, 50889, 50433, 51027, 50889, 50445, 50916, 50889, 50457, 50877, 77506, 50889, 51601, 50902, 50911, 50421, 50876, 53177, 50301, 51264, 50916, 51264, 50877, 51655, 50433, 50902, 69018, 50876, 51496, 50457, 50906, 51090, 55753, 50900, 51077, 50916, 74114, 52266, 50446, 51027, 51077, 50458, 50861, 51090, 56020, 50871, 53241, 51026, 51264, 50997, 51264, 50899, 51655, 51809, 50871, 78443, 50902, 53177, 50302, 51264, 50899, 51264, 50871, 51655, 50435, 50877, 70692, 50906, 51496, 50459, 50876, 51090, 57731, 50871, 51264, 50900, 53090, 50861, 53002, 50876, 53601, 57731, 50916, 51077, 50448, 51085, 51077, 60212, 50861, 52370, 50297, 51538, 50900, 53090, 50430, 50877, 50911, 50436, 50861, 50911, 50442, 50877, 56082, 50460, 51050, 50889, 60212, 51050, 51077, 50449, 50900, 51077, 50461, 50861, 50911, 53069, 50877, 50911, 50425, 50871, 72341, 53177, 50297, 51141, 50899, 51141, 50437, 50906, 50911, 50443, 50861, 69797, 53177, 50297, 51141, 50916, 51141, 50455, 50876, 50911, 50461, 50871, 51655, 50877, 52017, 51050, 53363, 50900, 53363, 50796, 54852, 50911, 55902, 56346, 51234, 51077, 50899, 51933, 50871, 52266, 51050, 51264, 50450, 51234, 51077, 54206, 68669, 51090, 56248, 51364, 50861, 51496, 51085, 51077, 51026, 51264, 50445, 50861, 75477, 50861, 51427, 51085, 51077, 50460, 50871, 51427, 55753, 50876, 50911, 73343, 51336, 50877, 51551, 51050, 51264, 50900, 51264, 50451, 50916, 56135, 50911, 50457, 50871, 70866, 51090, 56020, 50861, 57952, 50911, 50428, 51050, 59428, 51336, 50877, 51551, 50440, 50900, 50889, 50452, 50871, 50889, 51809, 50877, 70110, 50889, 68225, 50911, 50428, 50902, 53177, 50306, 75427, 56300, 50440, 50877, 50911, 78933, 51496, 50452, 51027, 51077, 52177, 50877, 52017, 50429, 51120, 67480, 51027, 63433, 50916, 50889, 52177, 50899, 61471, 74450, 50876, 53177, 50313, 51336, 51027, 51264, 50916, 51264, 50441, 50902, 75476, 50876, 51090, 50459, 50906, 50911, 52177, 50877, 52266, 50429, 50900, 51077, 50916, 51077, 50454, 51027, 51077, 52478, 50877, 50911, 50424, 50861, 50911, 74413, 52282, 51026, 51264, 50997, 51264, 50899, 51655, 50460, 50871, 50911, 52478, 50871, 51090, 50431, 50906, 53177, 50302, 51077, 50899, 51264, 50871, 51655, 50443, 50877, 50911, 50449, 50906, 51496, 50455, 50997, 51077, 53069, 50876, 51090, 50431, 50900, 75427, 51077, 50861, 51655, 50876, 52017, 50455, 50900, 50889, 53069, 50871, 55112, 50900, 51077, 50916, 66336, 50999, 56210, 50876, 52297, 50323, 53177, 50301, 75427, 51077, 52591, 50931, 56346, 50906, 54454, 50902, 55362, 71288, 75427, 51264, 50456, 50997, 51077, 50796, 50433, 50900, 51077, 50916, 51077, 50876, 51336, 50451, 50999, 50911, 50457, 50951, 53177, 50292, 51077, 55753, 50931, 79847, 50902, 51496, 50877, 54454, 50433, 51050, 51538, 50445, 50876, 52266, 56020, 50900, 50889, 50434, 50871, 50889, 68121, 50889, 50452, 50999, 50911, 50458, 51027, 58835, 52297, 50323, 51090, 56020, 50931, 52370, 50304, 50889, 50428, 50902, 51090, 71626, 75427, 51264, 50440, 50906, 50911, 50446, 50902, 50911, 50452, 50906, 70891, 50902, 53177, 50302, 51077, 57731, 50931, 68350, 50968, 51496, 50435, 50900, 51077, 79721, 50447, 50902, 65614, 70087, 50968, 51364, 50951, 51496, 50459, 51085, 51077, 57731, 50876, 52297, 50320, 51090, 50435, 50906, 73988, 53177, 50297, 51077, 50447, 50877, 51655, 50876, 52017, 50459, 50900, 50889, 57731, 50861, 50889, 50436, 50871, 51141, 50454, 50900, 50805, 50460, 50871, 78599, 51090, 60212, 50916, 51608, 50328, 51090, 50436, 50931, 78599, 52297, 50330, 53177, 50306, 51538, 50448, 50931, 72386, 50911, 50454, 50931, 52297, 50325, 51090, 52478, 50931, 52392, 50999, 53241, 50424, 51027, 50889, 50437, 50899, 50889, 50449, 50877, 50889, 50461, 50968, 50889, 59412, 50902, 62931, 52297, 50330, 51090, 50437, 50968, 52297, 50328, 53177, 50301, 51264, 50916, 51264, 50449, 50931, 51442, 50330, 50911, 50455, 50968, 51364, 51062, 51496, 55746, 50902, 52297, 50326, 63418, 51027, 51077, 50876, 51933, 50999, 52266, 50916, 51264, 56310, 67297, 50951, 56087, 50931, 51090, 62322, 51264, 50997, 51264, 50899, 51655, 50444, 50902, 56160, 50931, 56210, 50902, 50911, 56229, 51090, 50427, 50999, 50911, 50433, 50951, 51496, 50439, 51085, 51264, 50997, 51264, 50451, 50931, 50911, 50457, 50931, 51090, 55753, 50968, 51496, 50439, 51050, 51538, 50900, 51538, 50877, 51655, 50931, 52017, 75695, 51050, 50889, 50440, 50906, 52370, 50297, 51141, 50899, 51141, 76495, 50911, 50452, 50906, 50911, 50458, 51050, 51141, 50916, 51141, 50876, 51496, 75695, 51050, 62525, 58419, 51090, 50440, 51050, 51538, 50900, 51538, 50877, 52017, 79254, 51050, 67480, 50906, 52370, 50297, 51141, 50899, 51141, 50447, 50906, 70087, 50906, 70891, 51050, 51141, 50916, 51141, 50876, 51496, 79254, 51050, 62525, 58419, 51090, 50441, 50861, 52370, 50297, 51538, 50900, 53090, 50447, 50877, 70087, 50861, 70891, 50877, 56082, 79254, 51050, 50889, 50442, 51050, 51077, 52478, 50900, 51077, 79580, 50911, 50436, 50877, 50911, 50442, 50871, 72341, 53177, 50297, 51141, 50899, 51141, 50454, 50906, 50911, 50460, 50861, 69797, 53177, 50297, 51141, 50916, 51141, 60212, 50876, 50911, 50431, 50871, 51655, 50877, 52017, 51050, 53363, 50900, 53363, 77033, 50877, 50911, 50437, 50861, 50911, 50443, 51234, 51077, 50899, 51933, 50871, 52266, 51050, 51264, 53069, 51234, 51077, 58296, 68669, 63437, 50916, 51364, 50861, 51496, 51085, 51077, 51026, 51264, 54594, 50911, 55902, 51427, 51085, 51077, 78414, 51427, 62204, 56646, 50871, 51336, 50877, 51551, 51050, 51264, 50900, 51264, 55753, 50916, 56135, 50911, 73343, 70866, 51090, 79807, 57952, 75819, 51050, 59428, 51336, 50877, 51551, 50457, 50900, 50889, 55753, 50871, 50889, 50433, 50877, 70110, 50889, 74933, 75819, 50902, 53177, 50306, 75427, 56300, 50458, 50877, 50911, 51809, 50877, 51496, 50422, 51027, 51077, 50434, 50877, 52017, 50446, 51120, 50889, 50458, 51027, 50889, 56020, 50916, 50889, 50434, 50899, 61471, 51090, 78202 ]

[ 0, 250, 15352, 30054, 3495, 1011, 625, 11509, 657, 8, 26545, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 4246, 10, 33215, 16739, 9, 274, 119, 1176, 406, 6, 274, 406, 6, 8, 211, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 51809, 50989, 50914, 55898, 51411, 51050, 51806, 51234, 52845, 50301, 52212, 50861, 52212, 50461, 50902, 52460, 56229, 55002, 50422, 51339, 52188, 50431, 51814, 50928, 52912, 51742, 52956, 52168, 50456, 50877, 51194, 55694, 65290, 51234, 52378, 50424, 51026, 52482, 50861, 51337, 51040, 51965, 50425, 50916, 51878, 50443, 51028, 70103, 52845, 50320, 51333, 50454, 51399, 62356, 51487, 52256, 51430, 53674, 53069, 53684, 51954, 50347, 56515, 50420, 55226, 57820, 56020, 50877, 51110, 50428, 50906, 60733, 51085, 51627, 50436, 51026, 51627, 50437, 68930, 50956, 52015, 62335, 54573, 52591, 50877, 51233, 60564, 51008, 50427, 50997, 50984, 50433, 51085, 51642, 50956, 51484, 50861, 50995, 50439, 51026, 51253, 66626, 50995, 50448, 50997, 52188, 50452, 50956, 50981, 50457, 50861, 51277, 50459, 50997, 51079, 51601, 57634, 50419, 50906, 59768, 50973, 51097, 50425, 51050, 51381, 50430, 51027, 51330, 69374, 51806, 57019, 51330, 50442, 50877, 54344, 50445, 50876, 51576, 50449, 50931, 51199, 50452, 50999, 56374, 50454, 51062, 52256, 50458, 51339, 53866, 52177, 52956, 51447, 50420, 55738, 52147, 50452, 51028, 65841, 51234, 51627, 51809, 50902, 51535, 51050, 52015, 50417, 50899, 52140, 50877, 51662, 50871, 52222, 50437, 50899, 52263, 50442, 51050, 51637, 50447, 51027, 51466, 50452, 74876, 50456, 67104, 50459, 50877, 52011, 51601, 50902, 51806, 50418, 50931, 51878, 50421, 50999, 52598, 50431, 51027, 52011, 50437, 51001, 51380, 50449, 51234, 51852, 50451, 51026, 51576, 50906, 51380, 50871, 53164, 50318, 51466, 50452, 50861, 51381, 51601, 51026, 51376, 50416, 50871, 53697, 50418, 50861, 52056, 50424, 50931, 51481, 50427, 50951, 51753, 50430, 51081, 51697, 50433, 51339, 51174, 50435, 51487, 51884, 50437, 52052, 51166, 50441, 52956, 51142, 55538, 50866, 50443, 59987, 51314, 50445, 71194, 51145, 52478, 51001, 71818, 62389, 50424, 51234, 51534, 50429, 50906, 51177, 50902, 51194, 50871, 51351, 50997, 51134, 50436, 50871, 51337, 50442, 51027, 72317, 51121, 50447, 51001, 67509, 50931, 64225, 51234, 65817, 50902, 51177, 50457, 50965, 51121, 58526, 51377, 50418, 50965, 51203, 63715, 50805, 73343, 63552, 78950, 51040, 57959, 51028, 68854, 61169, 51001, 50942, 50440, 50931, 54434, 51214, 51212, 50951, 56508, 51120, 51448, 50455, 51026, 52441, 50461, 51086, 51709, 75417, 54578, 51806, 56978, 51074, 50428, 51086, 50835, 50973, 63751, 55028, 59663, 50434, 51086, 51255, 74933, 50892, 64118, 73951, 50877, 61902, 53535, 50321, 57712, 78983, 51120, 51645, 50461, 51027, 50908, 53069, 50997, 52256, 57340, 51961, 50899, 51318, 50871, 51637, 50427, 51214, 51703, 50434, 51120, 57032, 50448, 51026, 77765, 50906, 57059, 51085, 50932, 56178, 51534, 50415, 50997, 52482, 50416, 50861, 51884, 50417, 50906, 52059, 51001, 51337, 50436, 51247, 56374, 50437, 50989, 51637, 51027, 51965, 51085, 53280, 50956, 51878, 63451, 52528, 50900, 52140, 57731, 51050, 50941, 72513, 53810, 51026, 50892, 50437, 68622, 50902, 66782, 51194, 50906, 51233, 62275, 51309, 50443, 51026, 63956, 50956, 50942, 50902, 51337, 78434, 50906, 50995, 50457, 50956, 73562, 50861, 50825, 51809, 50906, 51365, 58973, 61880, 51050, 60184, 50931, 51391, 50428, 51027, 51381, 50432, 51040, 50995, 50437, 50877, 51738, 50439, 51028, 51852, 50444, 50931, 51697, 50448, 50999, 52134, 50453, 51399, 52518, 50459, 51339, 50870, 51809, 51050, 51079, 50421, 51234, 51333, 50423, 50931, 51199, 50429, 51050, 51481, 50434, 51027, 51166, 50440, 50899, 50943, 50445, 74436, 50451, 50877, 65267, 51085, 51254, 51601, 51247, 52048, 50417, 51050, 52256, 50418, 51040, 51878, 51027, 54532, 50871, 51447, 74769, 52048, 50439, 51050, 51008, 50445, 50989, 50866, 50451, 51247, 76172, 53492, 52169, 50290, 51254, 50458, 50997, 51481, 50861, 63030, 51419, 50796, 50430, 50951, 67904, 64205, 51234, 51142, 50436, 51026, 56755, 51487, 63397, 51146, 56918, 50899, 50837, 53975, 51524, 50421, 51234, 52460, 50427, 57810, 50433, 50906, 56755, 51234, 51328, 51040, 51177, 51026, 51337, 50997, 51363, 50442, 50916, 51535, 50861, 51419, 50455, 50906, 59821, 58540, 67886, 74826, 51749, 50426, 51399, 51283, 51430, 51283, 51081, 52263, 51487, 51878, 50433, 51026, 51878, 50452, 51026, 63316, 57634, 51809, 50906, 50829, 52206, 51134, 50423, 50956, 51241, 51085, 51148, 50424, 50997, 51183, 72684, 50436, 50997, 51283, 50443, 51085, 51542, 60027, 53096, 50456, 63156, 51809, 52206, 51576, 51085, 52845, 50304, 51679, 50861, 51749, 50429, 50900, 51380, 50436, 51085, 51177, 50441, 50877, 69352, 50906, 61230, 51247, 51391, 50454, 51050, 51330, 50455, 50973, 51312, 50871, 59783, 51312, 53069, 50871, 51056, 50876, 51351, 50877, 51351, 50427, 51027, 50981, 56014, 51423, 69332, 57013, 50871, 61081, 50871, 51212, 50458, 57634, 51809, 51028, 60209, 50871, 51319, 50422, 51050, 50932, 78312, 51363, 50902, 51480, 50899, 58421, 51480, 50436, 51234, 52136, 50447, 51146, 51679, 50455, 51050, 51199, 51814, 51419, 52357, 51241, 52591, 51487, 51644, 50338, 51233, 50428, 50997, 66090, 50899, 51172, 50447, 50871, 59835, 51001, 56573, 50931, 59789, 51234, 50932, 52478, 50871, 63785, 51337, 50419, 51027, 52263, 75474, 50439, 50999, 52026, 50328, 52136, 50452, 51487, 51753, 52052, 51637, 50459, 51027, 52212, 50796, 50430, 51027, 51645, 50435, 51001, 50942, 50441, 61196, 51234, 50932, 50448, 50871, 51109, 50902, 62163, 51535, 50997, 52598, 50461, 50871, 51043, 52478, 51027, 51852, 57340, 75584, 51001, 50959, 50431, 50931, 52019, 50290, 51542, 50438, 50965, 51025, 51176, 51391, 50902, 72499, 50965, 59697, 50899, 50858, 51601, 50902, 54718, 51001, 58745, 51120, 50955, 50428, 50973, 62271, 51121, 68622, 51214, 51242, 51001, 51797, 50433, 51001, 52722, 50442, 51120, 52263, 50449, 51026, 51679, 50461, 50973, 77149, 50959, 54578, 51542, 50861, 51097, 50421, 51026, 52519, 50437, 51120, 76772, 50900, 66875, 61800, 51050, 51328, 50455, 51234, 51008, 62927, 70178, 50871, 52434, 50321, 51255, 53069, 50871, 51562, 50997, 51397, 50899, 51127, 50877, 51397, 50427, 51214, 51627, 50432, 51120, 51679, 50439, 51026, 55584, 50446, 68070, 50871, 51481, 50899, 51535, 52177, 51120, 54252, 50906, 73047, 57860, 51085, 51411, 50436, 50956, 51008, 50997, 51051, 51001, 50933, 50906, 64716, 51058, 50457, 51027, 74128, 52263, 50989, 51627, 50900, 51680, 51247, 52783, 55753, 51027, 52598, 50429, 51050, 53674, 50440, 50900, 52059, 50447, 51050, 53922, 50861, 56249, 51085, 51043, 52177, 50902, 51177, 69391, 50956, 71665, 51043, 50418, 50997, 51381, 50429, 68622, 50906, 60582, 51194, 50956, 51194, 50436, 50997, 54181, 50956, 63773, 64871, 50446, 60834, 50449, 50902, 53886, 51050, 51797, 50451, 51027, 51381, 50454, 51040, 51134, 50456, 51028, 51294, 50877, 51291, 50931, 51446, 52591, 69541, 61104, 59628, 50877, 60553, 53415, 51234, 51337, 69375, 51642, 50445, 50931, 59258, 51115, 78872, 71698, 50906, 51314, 50457, 50871, 52441, 51601, 51027, 51423, 63714, 70134, 51234, 51097, 50433, 51050, 51517, 50300, 51448, 50434, 50965, 51535, 50899, 51535, 50871, 51749, 64118, 51134, 50453, 51176, 51177, 50458, 69505, 51601, 51197, 51642, 50416, 51026, 51097, 50417, 50997, 51965, 50419, 50899, 55002, 50422, 50989, 50983, 50423, 50861, 50918, 50434, 51028, 51204, 50902, 51362, 50441, 50899, 50995, 50446, 72421, 50902, 51148, 50452, 50899 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 8, 2003, 38704, 31365, 25999, 6, 7630, 14805, 10, 2933, 8, 25306, 5466, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 6, 19, 5, 40286, 163, 43531, 6, 12608, 401, 6, 8, 2060, 442, 12577, 4961, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 57497, 62244, 51142, 51147, 50959, 50418, 50906, 75570, 51028, 57104, 51176, 51712, 50305, 59704, 64213, 75343, 51147, 51006, 50434, 50965, 58946, 51360, 62244, 53131, 50325, 50959, 50442, 50877, 51006, 50446, 51028, 57299, 51040, 59704, 64213, 51006, 50454, 50999, 51006, 50458, 65997, 62368, 51644, 50298, 78809, 53131, 50326, 50959, 50418, 50906, 75570, 50902, 57104, 51378, 70276, 73273, 75343, 51081, 51006, 50434, 50906, 58946, 51378, 73658, 73507, 50822, 51081, 71303, 51197, 51423, 50449, 51378, 51328, 62291, 66199, 63422, 51712, 50322, 50901, 58526, 51644, 50305, 60236, 64651, 50830, 73955, 50418, 51081, 50987, 50422, 51147, 58192, 51114, 50987, 50430, 50931, 78778, 51001, 60676, 51028, 51058, 50442, 50876, 51058, 76495, 57299, 51176, 75138, 59316, 51174, 75312, 51254, 50458, 75105, 75697, 64240, 50293, 51697, 50418, 50871, 51376, 50422, 50965, 51376, 70562, 52858, 50305, 52858, 50309, 52104, 50317, 51376, 50430, 50931, 51376, 50434, 50871, 58604, 51360, 51074, 50442, 50871, 51376, 50446, 50965, 73380, 51176, 52858, 50305, 52858, 50309, 52104, 50317, 51376, 50454, 50931, 51376, 50458, 70795, 50799, 56381, 51077, 51176, 51447, 50418, 50871, 51376, 50422, 50965, 74907, 51360, 51490, 51028, 51376, 50430, 50931, 51254, 50434, 50871, 54584, 57721, 51141, 51027, 51314, 50442, 56963, 78933, 58175, 51360, 64307, 68243, 50931, 63321, 61522, 50799, 57721, 51103, 51966, 51519, 50298, 50879, 50418, 50906, 50987, 50422, 50902, 58192, 51378, 70276, 73273, 50987, 50430, 51081, 78778, 50906, 52691, 59378, 51588, 50298, 73658, 73507, 50822, 51081, 56888, 55910, 53886, 59378, 51110, 51197, 52858, 50302, 52858, 50307, 52104, 50310, 76382, 52858, 50322, 79088, 55329, 50836, 50799, 56381, 51204, 51503, 52511, 50300, 50972, 50418, 68274, 50422, 50965, 64586, 51176, 52858, 50309, 78502, 52858, 50317, 51079, 50430, 55291, 59662, 56381, 52841, 55329, 51141, 51503, 52858, 50300, 50972, 50442, 50989, 70270, 50965, 62911, 51176, 52858, 50307, 52104, 50310, 52858, 50316, 59111, 56381, 50849, 50799, 56381, 51486, 51360, 51079, 50418, 50871, 51376, 50422, 50965, 51376, 70562, 52858, 50305, 52858, 50309, 52104, 50317, 51376, 50430, 50931, 51376, 50434, 51147, 71113, 51503, 52858, 50300, 51853, 50322, 51269, 51081, 57764, 50876, 51123, 51001, 54823, 51176, 52858, 50304, 52858, 50307, 52858, 50310, 52104, 50322, 53096, 51081, 51852, 50459, 51114, 51123, 51147, 50912, 50799, 57721, 51295, 51360, 53126, 50305, 78504, 51051, 51147, 51210, 50418, 50965, 51376, 50422, 51028, 51376, 61104, 59977, 50309, 59977, 50312, 74056, 51376, 50430, 51147, 51376, 50434, 50965, 58604, 57721, 51115, 51324, 53126, 50303, 51330, 50442, 50965, 51376, 50446, 51001, 73380, 51086, 51269, 50956, 54731, 50309, 50907, 50931, 51376, 50454, 51147, 51376, 50458, 50965, 51123, 50799, 62366, 51742, 51234, 53126, 50302, 51330, 80121, 51376, 50422, 50931, 51376, 56759, 59977, 50306, 59977, 50309, 52216, 50324, 51376, 50430, 50931, 51376, 50434, 51028, 71113, 52046, 52858, 50295, 73275, 51269, 51114, 54731, 50331, 57764, 60827, 54185, 57721, 50822, 51197, 52858, 50302, 77081, 52858, 50310, 51079, 50454, 59378, 63105, 55329, 50822, 50799, 56381, 51391, 51503, 52511, 50300, 50972, 50418, 68274, 50422, 50965, 64586, 51176, 52858, 50309, 78502, 52858, 50317, 51079, 50430, 55291, 59909, 56381, 52691, 59378, 51448, 51503, 52858, 50300, 50972, 50442, 50989, 70270, 50965, 62911, 51176, 52858, 50307, 52104, 50310, 52858, 50316, 79088, 59441, 50822, 50799, 59441, 51145, 51360, 51079, 50418, 50871, 51862, 50422, 50965, 51862, 70562, 52858, 50305, 75598, 51862, 50931, 52025, 74413, 52192, 50434, 50965, 52192, 50438, 51360, 52216, 50319, 51862, 51001, 52025, 50442, 50871, 52192, 50446, 50965, 52192, 50450, 51176, 52858, 50305, 52104, 50317, 51862, 51028, 52025, 50454, 50871, 52192, 50458, 50965, 52192, 50799, 55297, 51741, 50288, 52147, 51176, 51447, 50876, 52167, 79251, 52192, 50422, 50956, 52192, 50426, 55297, 51412, 50965, 52192, 79471, 52192, 69374, 52167, 50435, 55297, 54077, 55329, 51312, 51214, 54590, 50299, 51330, 77025, 52192, 50446, 50916, 52192, 50450, 61092, 51412, 51085, 77418, 52192, 50454, 50916, 52192, 50458, 50900, 52167, 50459, 61092, 50867, 50799, 56381, 51310, 51247, 55036, 50297, 51333, 79251, 52192, 63714, 52192, 62144, 52192, 74413, 52192, 50432, 55329, 50978, 69374, 52167, 50438, 55297, 51145, 51050, 51490, 77025, 52192, 72785, 52192, 50450, 50965, 52192, 50454, 50871, 52192, 50458, 50900, 52167, 50799, 59378, 51741, 50295, 52011, 50418, 50956, 52192, 50422, 50965, 52192, 50426, 59378, 51412, 50876, 52192, 50430, 50965, 52192, 50434, 50956, 52167, 50435, 59378, 54077, 59441, 51233, 52046, 53126, 50295, 75865, 73336, 53126, 50317, 51108, 50447, 55291, 54185, 56381, 51337, 50459, 55329, 50867, 50799, 55297, 51662, 51503, 51703, 51176, 51314, 50418, 50956, 51376, 50422, 50965, 51376, 56546, 51376, 50430, 50965, 51376, 50434, 50956, 58604, 51966, 52212, 51378, 51314, 64041, 50442, 50906, 70270, 50916, 62911, 64041, 50454, 50906, 77219, 55297, 78450, 65471, 50799, 57721, 51310, 51247, 53126, 50297, 51108, 50418, 50871, 51376, 50422, 50877, 74907, 50931, 51376, 50430, 50877, 76103, 59378, 70139, 50871, 58604, 59378, 51312, 51234, 53126, 50302, 51108, 50442, 50871, 51376, 50446, 50965, 73380, 55910, 51412, 50902, 51376, 50454, 50965, 51376, 50458, 70795, 50459, 55910, 50867, 50799, 59378, 51310, 52046, 53126, 50295, 51108, 50418, 50956, 51376, 64309, 74907, 51028, 51376, 79580, 76103, 59441, 79624, 50956, 58604, 55297, 51312, 51503, 53126, 50300, 51108, 50442, 50956, 70270, 50965, 51524, 50876, 65743, 55329, 51412, 51234, 53126, 50302, 51330, 50454, 68274, 50458, 50871, 51524, 76075, 50459, 55329, 50867, 50799, 56381, 51619, 50292, 55002, 51050, 55002, 51176, 52519, 79251, 52731, 63714, 52167, 50426, 56381, 51312, 50871, 53693, 50312, 67458, 55291, 51448, 52206, 53801, 51085, 52212, 50442, 50997, 52731, 50446, 50916, 61013, 50997, 53693, 50307, 53693, 50311, 51432, 50459, 55291, 50867, 50799, 54833, 51662, 51247, 61653, 51050, 54573, 50418, 51176, 54887, 63686, 54887, 53645, 54887, 78313, 54887, 50434, 50871, 54887, 50438, 50965, 54887, 50442, 50871, 54071, 50446, 50965, 52731, 50450, 50876, 51824, 50454, 50965, 51470, 50458, 64041, 50799, 57721, 51527, 52759, 51644, 50293, 50873, 50418, 50871, 75570, 50965, 57104, 51176, 51712, 50305, 59704, 68250, 75343, 50931, 51006, 50434, 50871, 58946, 57721, 51527, 51360, 50845, 50442, 50871, 51006, 78933, 57299, 51027, 51712, 50305, 59704, 68250, 51006, 50454, 50931, 51006, 50458, 63006, 50799, 57721, 51356, 51966, 51644, 50298, 50873, 50418, 50906, 75570, 50902, 57104, 51378, 70276, 73273, 75343, 51081, 51006, 50434, 50906, 56480, 59378, 51710, 50298, 50827, 71430, 51001, 52169, 50326, 60785, 55910, 54755, 59378, 51167, 51197, 51712, 50302, 67736, 66199, 63422, 51712, 50322, 62533, 55329, 50890, 50799, 56381, 51541, 51503, 51644, 50300, 50873, 50418, 50871, 50987, 50422, 50965, 57818, 51176, 59704, 63328, 71277, 50901, 50430, 55291, 60661, 56381, 54362, 55329, 51274, 51503, 51644, 50300, 50901, 50442, 50989, 50987, 50446, 50965, 53140, 51176, 67736, 66199, 58722, 55670, 56381, 50893, 50799, 56381, 51941, 51360, 50805, 50418, 50871, 50937, 50422 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2125, 4246, 10, 13305, 6, 2351, 10, 19448, 5466, 19, 17878, 9, 15073, 8, 23975, 1825, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 38451, 3938, 20889, 1328, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 54437, 70939, 50896, 51660, 63415, 53765, 53369, 70939, 70295, 78119, 53585, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 50450, 53722, 57024, 51660, 50806, 51434, 50806, 51607, 50806, 50799, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55419, 53722, 50806, 51614, 50806, 51808, 52247, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55224, 53369, 50806, 51440, 50806, 51669, 52322, 52769, 70939, 75949, 52043, 54526, 52769, 50896, 52745, 75949, 51669, 50896, 66629, 70939, 75949, 52043, 53765, 52806, 70939, 70295, 66662, 53585, 53369, 70939, 70295, 78119, 54526, 53722, 70939, 78119, 50896, 52327, 50896, 78940, 70939, 75949, 52043, 53765, 52769, 50896, 52745, 70295, 50896, 51669, 53585, 54437, 51196, 51774, 51196, 51660, 51196, 51607, 51196, 50799, 54437, 70939, 50896, 51660, 63415, 53765, 53369, 70939, 70295, 78119, 53585, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 50450, 53722, 57024, 51660, 50806, 51434, 50806, 51607, 50806, 50799, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55419, 53722, 50806, 51614, 50806, 51808, 52247, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55224, 53369, 50806, 51440, 50806, 51669, 52322, 52769, 70939, 75949, 52043, 54526, 52769, 50896, 52745, 75949, 51669, 50896, 66629, 70939, 75949, 52043, 53765, 52806, 70939, 78119, 50896, 52327, 53585, 55243, 70939, 75949, 52257, 54526, 51614, 50806, 52327, 50806, 53369, 78119, 57024, 51515, 50806, 51669, 50806, 78940, 50896, 51660, 63415, 66662, 53765, 52769, 50896, 51614, 75949, 51808, 53585, 54437, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 78940, 51274, 51515, 51274, 51808, 51274, 51669, 72107, 52769, 50806, 51660, 50806, 51607, 50806, 52043, 52322, 52769, 50806, 51614, 50896, 51669, 50896, 52327, 55451, 52806, 52610, 52745, 50896, 51614, 75949, 51669, 50896, 66629, 51274, 51434, 51274, 51607, 51274, 52043, 72107, 52769, 50806, 51434, 50806, 51669, 50806, 52327, 52322, 51774, 50806, 52043, 50806, 51434, 50896, 52257, 55451, 51614, 50806, 51669, 52610, 51660, 63415, 66662, 50896, 52043, 50896, 67548, 51274, 51434, 51274, 51607, 51274, 52257, 72107, 51660, 50806, 51434, 50806, 51607, 50806, 52257, 52322, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52692, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 52610, 52745, 50806, 51434, 50806, 51434, 50806, 51669, 52931, 52806, 50806, 51434, 50806, 51607, 50806, 51607, 50806, 76056, 50896, 51808, 50896, 52769, 51469, 52257, 51469, 50426, 52745, 50806, 51434, 52309, 51614, 50806, 51808, 52322, 51515, 51196, 51669, 51196, 67548, 51274, 51434, 51274, 51607, 51274, 52257, 72107, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52322, 51434, 50806, 52043, 50806, 51774, 66662, 55451, 51660, 50806, 52257, 52610, 51614, 50806, 52327, 50806, 53369, 78119, 57024, 51515, 50806, 51669, 50806, 78940, 50896, 51660, 63415, 66662, 53765, 51614, 50806, 52769, 75949, 51808, 55224, 51515, 52322, 54437, 51196, 51774, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 55746, 54437, 70939, 50896, 51660, 63415, 53585, 53369, 70939, 70295, 78119, 54526, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 71862, 55419, 51660, 50806, 51434, 50806, 51607, 52247, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55224, 53722, 50806, 51614, 50806, 51808, 52322, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55451, 53369, 50806, 51440, 50806, 51669, 52610, 52769, 70939, 75949, 52043, 50896, 78940, 50896, 52745, 75949, 51669, 53765, 51774, 70939, 75949, 52043, 53585, 52806, 70939, 70295, 66662, 54526, 53369, 70939, 70295, 78119, 50896, 71862, 70939, 78119, 50896, 52327, 53765, 52769, 70939, 75949, 52043, 53585, 52769, 50896, 52745, 70295, 50896, 51669, 54526, 54437, 51196, 51774, 51196, 51660, 51196, 51607, 51196, 55746, 54437, 70939, 50896, 51660, 63415, 53585, 53369, 70939, 70295, 78119, 54526, 55243, 70939, 51274, 51434, 51274, 51434, 51274, 71862, 55419, 51660, 50806, 51434, 50806, 51607, 52247, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55224, 53722, 50806, 51614, 50806, 51808, 52322, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 55451, 53369, 50806, 51440, 50806, 51669, 52610, 52769, 70939, 75949, 52043, 50896, 78940, 50896, 52745, 75949, 51669, 53765, 51774, 70939, 75949, 52043, 53585, 52806, 70939, 78119, 50896, 52327, 54526, 55243, 70939, 75949, 52257, 50896, 67547, 50806, 52327, 50806, 53369, 78119, 55419, 51515, 50806, 51669, 52247, 52769, 50896, 51660, 63415, 66662, 53585, 52769, 50896, 51614, 75949, 51808, 54526, 54437, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 55746, 52769, 51274, 51515, 51274, 51808, 51274, 51669, 68249, 52769, 50806, 51660, 50806, 51607, 50806, 52043, 52610, 52769, 50806, 51614, 50896, 51669, 50896, 52327, 57024, 52806, 50806, 50799, 52745, 50896, 51614, 75949, 51669, 53765, 51774, 51274, 51434, 51274, 51607, 51274, 52043, 68249, 52769, 50806, 51434, 50806, 51669, 50806, 52327, 52610, 51774, 50806, 52043, 50806, 51434, 50896, 52257, 57024, 51614, 50806, 51669, 50806, 67548, 63415, 66662, 50896, 52043, 53765, 51660, 51274, 51434, 51274, 51607, 51274, 52257, 68249, 51660, 50806, 51434, 50806, 51607, 50806, 52257, 52610, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52931, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 50806, 50799, 52745, 50806, 51434, 50806, 51434, 50806, 51669, 52774, 52806, 50806, 51434, 50806, 51607, 50806, 51607, 52247, 51434, 50896, 51808, 50896, 52769, 51469, 52257, 51469, 50438, 52745, 50806, 51434, 52692, 51614, 50806, 51808, 52610, 51515, 51196, 51669, 51196, 55746, 51660, 51274, 51434, 51274, 51607, 51274, 52257, 68249, 51614, 50806, 51434, 50806, 51808, 50806, 52327, 52610, 51434, 50806, 52043, 50806, 51774, 66662, 57024, 51660, 50806, 52257, 50806, 67547, 50806, 52327, 50806, 53369, 78119, 55419, 51515, 50806, 51669, 52247, 52769, 50896, 51660, 63415, 66662, 53585, 51614, 50806, 52769, 75949, 51808, 55451, 51515, 52610, 54437, 51196, 51774, 51196, 51660, 51196, 51434, 51196, 51607, 51196, 61627, 54437, 70939, 50896, 51660, 63415, 54526, 53369, 70939, 70295, 78119, 50896, 50799, 55243, 70939, 51274, 51434, 51274, 51434, 74189, 53722, 55224, 51660, 50806, 51434, 50806, 51607, 52322, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55451, 53722, 50806, 51614, 50806, 51808, 52610, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 57024, 53369, 50806, 51440, 50806, 51669, 50806, 78940, 70939, 75949, 52043, 53765, 52769, 50896, 52745, 75949, 51669, 53585, 51774, 70939, 75949, 52043, 54526, 52806, 70939, 70295, 66662, 50896, 75235, 70939, 70295, 78119, 53765, 53722, 70939, 78119, 50896, 52327, 53585, 52769, 70939, 75949, 52043, 54526, 52769, 50896, 52745, 70295, 50896, 51669, 50896, 50799, 54437, 51196, 51774, 51196, 51660, 51196, 51607, 60655, 54437, 70939, 50896, 51660, 63415, 54526, 53369, 70939, 70295, 78119, 50896, 50799, 55243, 70939, 51274, 51434, 51274, 51434, 74189, 53722, 55224, 51660, 50806, 51434, 50806, 51607, 52322, 54437, 50806, 51660, 50806, 51607, 50806, 51434, 55451, 53722, 50806, 51614, 50806, 51808, 52610, 55243, 50806, 51434, 50806, 51607, 50806, 51774, 57024, 53369, 50806, 51440, 50806, 51669, 50806, 78940, 70939, 75949, 52043, 53765, 52769, 50896, 52745, 75949, 51669, 53585, 51774, 70939, 75949, 52043, 54526, 52806, 70939 ]

[ 0, 250, 33928, 8, 15352, 30054, 19834, 2125, 6, 42, 765, 2214, 7630, 6568, 10, 12298, 1619, 4780, 4, 2595, 10312, 30, 41, 21979, 9590, 8, 13305, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 1575, 10, 33215, 13931, 9, 1918, 6, 230, 6, 274, 6, 230, 401, 6, 8, 211, 6, 8216, 7, 63, 32076, 8, 11956, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 51793, 56003, 53691, 56158, 55616, 50980, 57428, 52610, 50877, 50806, 53691, 57175, 50876, 50806, 54852, 50821, 65585, 51793, 50980, 50417, 68928, 50906, 53113, 50871, 52500, 50877, 52500, 50426, 53691, 56158, 51793, 56812, 51984, 50980, 56950, 56003, 53240, 56158, 55616, 50980, 57428, 52610, 50877, 50806, 53240, 57175, 78121, 54578, 50821, 74231, 51389, 50980, 50417, 50916, 50821, 50861, 53113, 50899, 51226, 75712, 50426, 53240, 56158, 51389, 52692, 50871, 50806, 51144, 54058, 50877, 50806, 51119, 54771, 50876, 50806, 51153, 50892, 57333, 65585, 51119, 50844, 74979, 51793, 50980, 50417, 74170, 51099, 50844, 51308, 54351, 50877, 53898, 51144, 53753, 51119, 53753, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 58648, 50931, 50980, 51435, 73580, 53691, 57175, 50931, 50806, 51435, 50892, 56229, 51226, 51435, 51391, 51261, 51285, 51793, 51285, 55616, 51285, 63975, 50806, 51275, 53913, 76783, 51275, 51391, 51261, 51285, 51793, 51285, 50456, 50871, 50806, 51144, 50892, 54852, 50806, 51144, 52121, 51119, 52121, 51153, 52121, 51793, 50980, 58060, 53898, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 56807, 51274, 51516, 51391, 52078, 51285, 55616, 51285, 77431, 50806, 51435, 53913, 50968, 51226, 51489, 51391, 51150, 51285, 53691, 51285, 76496, 50806, 51435, 50892, 72754, 75037, 72694, 50980, 51435, 51411, 51389, 50980, 55616, 56003, 68455, 51275, 50844, 51261, 50980, 54021, 74177, 65585, 51153, 53513, 50906, 50806, 51308, 50892, 54852, 51585, 51144, 51293, 51119, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50806, 51099, 50892, 53240, 50980, 53691, 58648, 50876, 51226, 51153, 72499, 53240, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50980, 51099, 51411, 53240, 50980, 53691, 56812, 53240, 57175, 65585, 51153, 56569, 65585, 74979, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50906, 50806, 51308, 50892, 54021, 51285, 55616, 65980, 50877, 50806, 51119, 54058, 50861, 50806, 51099, 54771, 50871, 50806, 51144, 50892, 54594, 50980, 51232, 51448, 51099, 51448, 53691, 56003, 51150, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 78121, 51275, 54771, 50931, 51226, 51119, 51742, 51153, 51742, 51435, 51742, 51793, 51226, 56510, 51226, 55746, 51793, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 50931, 50806, 51435, 54771, 50951, 51585, 51516, 51677, 51150, 51469, 59710, 51274, 55746, 56510, 56158, 59710, 65980, 50999, 50806, 51578, 54058, 50951, 50980, 51516, 51411, 56229, 51469, 51119, 51293, 51153, 51293, 51435, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 70781, 50844, 74979, 51793, 50980, 50417, 51099, 50844, 51308, 54351, 51144, 52071, 51119, 52071, 50426, 53691, 56158, 51793, 56812, 51984, 50980, 70781, 51293, 51153, 51293, 51435, 51293, 51389, 56003, 53240, 56158, 55616, 56812, 53240, 50980, 62673, 50844, 51119, 50844, 51389, 50980, 50417, 51232, 50844, 51099, 54351, 51198, 51391, 51144, 79648, 53240, 56158, 51389, 52692, 50871, 50806, 51144, 54058, 50877, 50806, 51119, 54771, 50876, 50806, 51153, 50892, 57333, 65585, 51119, 50844, 74979, 51793, 50980, 50417, 74170, 51099, 50844, 51308, 54351, 50877, 53898, 51144, 53753, 51119, 53753, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 58648, 50931, 50980, 51435, 73580, 53691, 57175, 50931, 50806, 51435, 50892, 56229, 51226, 51435, 51391, 51261, 51285, 51793, 51285, 55616, 51285, 63975, 50806, 51275, 53913, 76783, 51275, 51391, 51261, 51285, 51793, 51285, 50456, 50871, 50806, 51144, 50892, 54852, 50806, 51144, 52121, 51119, 52121, 51153, 52121, 51793, 50980, 58060, 53898, 50426, 53691, 56158, 55616, 56812, 53691, 50980, 60200, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 56807, 51274, 51516, 51391, 52078, 51285, 55616, 51285, 77431, 50806, 51435, 53913, 50968, 51226, 51489, 51391, 51150, 51285, 53691, 51285, 76496, 50806, 51435, 50892, 72754, 75037, 72694, 50980, 51435, 51411, 51389, 50980, 55616, 56003, 68455, 51275, 50844, 51261, 50980, 54021, 74177, 65585, 51153, 53513, 50906, 50806, 51308, 50892, 54852, 51585, 51144, 51293, 51119, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50806, 51099, 50892, 53240, 50980, 53691, 58648, 50876, 51226, 51153, 72499, 53240, 50980, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50861, 50980, 51099, 51411, 53240, 50980, 53691, 56812, 53240, 57175, 65585, 51153, 56569, 65585, 74979, 55694, 50806, 51308, 50892, 52078, 51285, 55616, 51285, 57340, 50806, 51119, 53770, 50861, 50806, 51099, 54100, 50871, 50806, 51144, 53913, 50906, 50806, 51308, 50892, 54021, 51285, 55616, 65980, 50877, 50806, 51119, 54058, 50861, 50806, 51099, 54771, 50871, 50806, 51144, 50892, 54594, 50980, 51232, 51448, 51099, 51448, 53691, 56003, 51150, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 78121, 51275, 54771, 50931, 51226, 51119, 51742, 51153, 51742, 51435, 51742, 51793, 51226, 56510, 51226, 55746, 51793, 56158, 78121, 51275, 50892, 54021, 51226, 56510, 51226, 50444, 50931, 50806, 51435, 54058, 50931, 50806, 51435, 54771, 50951, 51585, 51516, 51677, 51150, 51469, 59710, 51274, 55746, 56510, 56158, 59710, 65980, 50999, 50806, 51578, 54058, 50951, 50980, 51516, 51411, 56229, 51469, 51119, 51293, 51153, 51293, 51435, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 70781, 50844, 74979, 51793, 50980, 50417, 51099, 50844, 51308, 54351, 51144, 52071, 51119, 52071, 50426, 53691, 56158, 51793, 56812, 51984, 50980, 70781, 51293, 51153, 51293, 51435, 51293, 51389, 56003, 53240, 56158, 55616, 56812, 53240, 50980, 62673, 50844, 51119, 50844, 51389, 50980, 50417, 51232, 50844, 51099, 54351, 51198, 51391, 51144, 79648, 53240, 56158, 51389, 52692, 50871, 50806, 51144, 54058, 50877, 50806, 51119, 54771, 50876, 50806, 51153, 50892, 56229, 54089, 51119, 51293, 51153, 51293, 51435, 51293, 51793, 56003, 53691, 56158, 55616, 56812, 53691, 50980, 70781, 50844, 74979, 51793, 50980, 50417, 51099, 50844, 51308, 54351, 51144, 51742, 51119, 51742, 50426, 53691, 56158, 55616, 56812, 50626, 50877, 50806, 51144, 50892, 51119, 50892, 53691, 57175, 50877, 50806, 51119, 50892, 51057, 50906, 50806, 51308, 50892, 52078, 50980, 55616, 59217, 50906, 50806, 51308, 53770, 50877, 50806, 51119, 50892, 51150, 50980, 54021, 50980, 53691, 56925, 50861, 50806, 51099, 50892, 54578, 51285, 51144, 51677, 51793, 51469, 53240, 51469, 53691, 56003, 55616, 56158, 53691, 51285, 60027, 50806, 51119, 54771, 50877, 50806, 51119 ]

[ 0, 713, 14899, 3495, 2214, 11, 274, 538, 22750, 1626, 11098, 8, 10563, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 20535, 2810, 6, 17035, 873, 2401, 6, 21072, 6, 8, 3459, 8669, 4, 590, 10, 20889, 9, 21234, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 2877, 1328, 4, 20, 15352, 30054, 15229, 1171, 10, 33215, 16739, 9, 163, 428, 6, 274, 6, 163, 428, 6, 8, 230, 406, 6, 1271, 7, 63, 33200, 8, 2365, 12, 6928, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50420, 51170, 53578, 51170, 52630, 51170, 52265, 51236, 52676, 51240, 54129, 51240, 52267, 51648, 68675, 53851, 51240, 52568, 51648, 69987, 52193, 52099, 50802, 56236, 51713, 50824, 54244, 51059, 52685, 50936, 52107, 50936, 76047, 65757, 76507, 58094, 56315, 52302, 52685, 50936, 52107, 54444, 53516, 51713, 67549, 54948, 61749, 62942, 69697, 50902, 54154, 51648, 50802, 54244, 78432, 54292, 51713, 50824, 54941, 51072, 52685, 50936, 52107, 59872, 54514, 57512, 50997, 73353, 53199, 53885, 52685, 50936, 52107, 61624, 67922, 76028, 52808, 56459, 52568, 52099, 50802, 54941, 51072, 52777, 63292, 67575, 51648, 57129, 50952, 50906, 51582, 57582, 50817, 56236, 52366, 50802, 55294, 51059, 51026, 51894, 51320, 63292, 61993, 50997, 51677, 50420, 52306, 50802, 52685, 50921, 52464, 54196, 53516, 52366, 58813, 51790, 52777, 63292, 52265, 51648, 51029, 55294, 50860, 52464, 50921, 52685, 50921, 50906, 51116, 50951, 51238, 51320, 54292, 52468, 51072, 51587, 58094, 53885, 52464, 50921, 52685, 50921, 50906, 61420, 65086, 56459, 59587, 50951, 67081, 51648, 50802, 52468, 51072, 52777, 63292, 67575, 52425, 50802, 52685, 50921, 52464, 50921, 50951, 54447, 57582, 57895, 67944, 56236, 51683, 50824, 53046, 51059, 52464, 50936, 52253, 50936, 51587, 55534, 50900, 51295, 51320, 54031, 52464, 50936, 52253, 54444, 53516, 51683, 62306, 50859, 50951, 51907, 50898, 63292, 56973, 50876, 53695, 51648, 50802, 53046, 52035, 50304, 50924, 51320, 54292, 51683, 50824, 55294, 51072, 52464, 50936, 52253, 51919, 50299, 51345, 50900, 51345, 50956, 67570, 54514, 57512, 50791, 53885, 52464, 50936, 52253, 62392, 61930, 52675, 56459, 59587, 51001, 53886, 51906, 50802, 55294, 51072, 52777, 63292, 67575, 51963, 62306, 63287, 62271, 53340, 57582, 50817, 56236, 51648, 50802, 54941, 51059, 51050, 51161, 51320, 63292, 52302, 52099, 50802, 53761, 50936, 52197, 50936, 52253, 51919, 50301, 51591, 50791, 53516, 51648, 59920, 51103, 52777, 63292, 52265, 51683, 50824, 54941, 50860, 52197, 50936, 52253, 50936, 53761, 63621, 50991, 50931, 51238, 50876, 51238, 50433, 51320, 54292, 53046, 51072, 51587, 58094, 53885, 51648, 50802, 53761, 50936, 52197, 50936, 52253, 63621, 58681, 62377, 52808, 56459, 52568, 51648, 50802, 53046, 51072, 51587, 54987, 56721, 52777, 53650, 52099, 50802, 53761, 50936, 52197, 50936, 52253, 63621, 58681, 52808, 57582, 50817, 56236, 51713, 50824, 54244, 51059, 52685, 50936, 52107, 50936, 50415, 50997, 51472, 51320, 63292, 52302, 52685, 50936, 52107, 51919, 50297, 54265, 53516, 51713, 56798, 60597, 64424, 65208, 50914, 51587, 54948, 53644, 51648, 50802, 54244, 78432, 54292, 51713, 50824, 54941, 51072, 52685, 50936, 52107, 59872, 54514, 57512, 50899, 51212, 50997, 51542, 50791, 53885, 52685, 50936, 52107, 61624, 62176, 78858, 52675, 56459, 52568, 52099, 50802, 54941, 51072, 50899, 56444, 54514, 54987, 56721, 50791, 53650, 51648, 58503, 50812, 50902, 73927, 73629, 56236, 52002, 50802, 55294, 51059, 51026, 51605, 51320, 63292, 52302, 52366, 50802, 52685, 50921, 52464, 50921, 50997, 51692, 50791, 53516, 52002, 58813, 51675, 51587, 54948, 53644, 51776, 51009, 55294, 50860, 52464, 50921, 52685, 50921, 50906, 51095, 50902, 50828, 63064, 50433, 51320, 54292, 52468, 51072, 51587, 58094, 53885, 52685, 50921, 52464, 50921, 78122, 50902, 52959, 56459, 52568, 52468, 51072, 51587, 54948, 57582, 52193, 51648, 50802, 52464, 50921, 52685, 50921, 50906, 62474, 50791, 57582, 50817, 56236, 51683, 50824, 53046, 51059, 52464, 50936, 52253, 71327, 51945, 50415, 51026, 54438, 50898, 63292, 61792, 51026, 55086, 50420, 52464, 50936, 52253, 67739, 51680, 50791, 53516, 51683, 57593, 61930, 73342, 54948, 53644, 51648, 50802, 53046, 78432, 54292, 51683, 50802, 54244, 51072, 52464, 50936, 52253, 59872, 54514, 57512, 50791, 53885, 51906, 50802, 52253, 50936, 52464, 62392, 51124, 51001, 51091, 52777, 56459, 52568, 51963, 50802, 54244, 51072, 51587, 54987, 56721, 52777, 53650, 51906, 57593, 64468, 53802, 50898, 57582, 50817, 56236, 52103, 50802, 54941, 50802, 52253, 50936, 53761, 50936, 52804, 50936, 52197, 51919, 50297, 60867, 58696, 57253, 65614, 50879, 53431, 55534, 50791, 54031, 52103, 50802, 54941, 50802, 52197, 50936, 52253, 50936, 53761, 50936, 52804, 51919, 50297, 60867, 58696, 57253, 65614, 50879, 53431, 60879, 50791, 53516, 52103, 50824, 54941, 50802, 52197, 50806, 52253, 50806, 53761, 50806, 52804, 50806, 51050, 60867, 58696, 57253, 65614, 50879, 53431, 56973, 50791, 54292, 51170, 54129, 51170, 52267, 51170, 53851, 51170, 52568, 56008, 69987, 52193, 68264, 50802, 56236, 54244, 51059, 50899, 51472, 50997, 50889, 69256, 52299, 54514, 55534, 50791, 56315, 52302, 51050, 62693, 55893, 53774, 53939, 53367, 61624, 50808, 66695, 50902, 56420, 54948, 53644, 54244, 50860, 52804, 51919, 50302, 51535, 69256, 64578, 54292, 54941, 51072, 52464, 70717, 51283, 68264, 64578, 63292, 52267, 52804, 61624, 50808, 57213, 70523, 51331, 56459, 52568, 54941, 51072, 53367, 50936, 50694, 50314, 51812, 50898, 63292, 67575, 52804, 61624, 65039, 50808, 50931, 50855, 70523, 51331, 57582, 50817, 56236, 55294, 51059, 51026, 51605, 68264, 64578, 63292, 52302, 50997, 51692, 65883, 64811, 55893, 53774, 53939, 53367, 70717, 51790, 51587, 54948, 62171, 50951, 51628, 55294, 50860, 52804, 61624, 62176, 53618, 50898, 54292, 52468, 51072, 52464, 50936, 51320, 63292, 52267, 52804, 61624, 50822, 51028, 52207, 56459, 56877, 50902, 51043, 50449, 50906, 52946, 50450, 52468, 51072, 53367, 50936, 56008, 67549, 56721, 52777, 57582, 52193, 52804, 61624, 58114, 50854, 50902, 50820, 68264, 68675, 57895, 58005, 56236, 54244, 51059, 50997, 51991, 69256, 73475, 63292, 61993, 51050, 51662, 51039, 55893, 53774, 53939, 53367, 70717, 51803, 52777, 63292, 52265, 54244, 50860, 52804, 61624, 62176, 63762, 50809, 69256, 64578, 54292, 54941, 51072, 52464, 50936, 68264, 64578, 63292, 52267, 52804, 51919, 50317, 78440, 51337, 70523, 69987, 50898, 61722, 50902, 67702, 54941, 51072, 53367, 50936, 50694, 50314, 51812, 50898, 63292, 67575, 52804, 62392, 51100, 66771, 70523, 68675, 73629, 56236, 55294, 51059, 51026, 51538, 68264, 56681, 54514, 55534, 50791, 54031, 50997, 51662, 50791, 55893, 53774, 53939, 53367, 70717, 51452, 51587, 54948, 62171, 50906, 65818, 53810, 55294, 50860, 52804, 66919, 53579, 50898, 54292, 52468, 51072, 52464, 50936, 51320, 63292, 52267, 52804, 61624, 51025, 51028, 51135, 56459, 59587, 50902, 70098, 52468, 51072, 53367, 50936, 56008, 51812, 50898, 63292, 67575, 52804, 61624, 63269, 61666, 50857, 68264, 68675, 73629, 56236, 54244, 51059, 50997, 51605, 69256, 73475, 63292, 61993, 51050, 51677, 51039, 55893, 53774, 53939, 53367, 70717, 51194, 69256, 67549, 54948, 62171, 50906, 62176, 66156, 52359, 54244, 50860, 52804, 50936, 68264, 64578, 54292, 54941, 51072, 52464, 70717, 51477, 69256, 73475, 63292, 52267, 52804, 61624, 50820, 51028, 50961, 50931, 59156, 56459, 59587, 50902, 60866, 54941, 51072, 53367, 50936, 68264, 51812, 50898, 63292, 67575, 52804, 62392, 50808, 50902, 71808, 50836, 70523, 51331, 57582, 50817, 56236, 55294, 51059, 50694, 50314, 51029, 51320, 63292, 55534, 50997, 50981, 56978, 52808, 55893, 53774, 53939, 53367, 51919, 50299, 51790, 51587, 54948, 61749, 50899, 51218, 50432, 55294, 50860, 52804, 61624, 63191, 50849, 65883 ]

[ 0, 250, 15352, 30054, 5175, 19834, 4246, 10, 6755, 12547, 6, 13602, 6757, 6, 13305, 6, 21072, 6, 8, 38668, 11212, 6, 2351, 10, 11739, 9, 1372, 8, 2933, 6711, 29, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 15229, 16, 17407, 30, 10, 33215, 16739, 9, 274, 10431, 6, 230, 10431, 73, 717, 10431, 6, 12608, 119, 6, 2060, 6, 8, 230, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 57008, 55084, 50439, 64403, 50897, 57537, 56329, 54801, 55776, 53815, 53866, 53125, 55776, 50816, 69721, 51737, 50448, 64403, 51142, 50816, 52101, 50453, 74148, 51006, 50458, 70244, 62283, 69721, 53024, 53069, 64403, 66611, 57826, 50425, 50913, 55084, 50428, 65662, 51058, 53952, 54573, 54575, 54573, 54466, 55776, 50816, 50360, 51342, 54691, 50437, 65662, 68394, 51252, 50446, 70244, 67041, 69721, 51737, 50455, 57655, 51142, 50461, 50816, 51998, 51809, 61744, 51008, 56676, 52980, 53125, 77984, 50816, 50364, 51342, 53313, 63741, 67847, 61744, 50908, 61744, 67831, 52794, 50430, 65662, 51376, 50435, 64403, 58896, 72184, 53313, 50444, 61744, 51254, 50453, 57655, 52034, 59088, 52440, 54801, 52916, 50816, 57675, 54386, 50799, 57655, 51470, 50816, 50360, 51342, 57826, 56063, 52794, 50423, 64403, 63250, 57675, 53306, 50432, 51070, 57826, 50439, 60245, 51319, 50440, 61744, 64524, 51205, 51486, 74148, 50864, 58083, 51172, 55654, 53866, 52867, 52528, 50816, 50364, 51342, 51737, 50451, 59878, 51645, 50816, 52794, 50460, 63563, 51412, 51070, 53024, 55753, 50692, 50331, 51645, 51070, 57826, 50427, 58358, 77093, 50360, 50994, 55084, 50429, 61744, 67393, 51096, 51486, 64403, 50971, 50692, 50329, 51645, 55745, 55586, 54801, 52980, 53125, 52916, 50816, 69803, 54691, 50439, 63482, 54521, 50816, 51832, 50448, 59878, 51283, 50816, 69803, 51737, 52177, 56660, 51319, 50418, 60245, 68353, 51796, 51134, 63563, 51412, 50692, 50331, 52460, 60587, 53265, 56676, 58898, 53603, 53674, 54575, 55086, 50816, 54949, 53313, 50420, 65662, 77045, 63482, 51852, 50692, 50329, 51852, 50816, 52794, 50434, 58358, 51851, 50435, 57655, 75753, 51228, 51191, 61275, 53096, 63563, 51852, 59088, 55002, 54801, 53280, 52592, 53577, 50816, 69449, 53313, 50438, 65662, 70042, 59878, 51922, 63482, 52503, 50452, 58358, 51123, 50770, 50310, 51894, 50454, 61744, 68935, 53344, 51662, 67281, 52980, 54801, 63160, 53815, 52783, 50816, 50364, 51342, 54386, 50456, 64403, 50971, 51809, 50816, 50358, 50792, 50611, 51074, 51070, 57826, 63741, 50360, 50994, 52794, 50426, 51925, 50795, 51070, 53306, 50432, 50816, 55084, 57177, 50360, 51342, 57826, 50442, 58358, 57138, 52624, 50942, 61744, 50863, 67281, 53866, 54801, 65527, 53815, 54573, 50816, 72184, 51737, 55052, 51318, 50445, 64403, 51297, 50448, 54361, 53801, 50453, 52624, 51210, 50816, 51998, 54895, 51824, 50458, 54063, 51008, 54740, 52167, 53206, 55084, 50799, 55360, 66610, 50362, 51342, 53024, 54428, 52731, 50419, 56976, 66401, 52624, 51058, 51070, 57826, 54428, 52731, 50428, 58358, 51022, 54895, 52167, 50429, 57655, 63971, 55084, 50432, 52933, 51051, 65662, 50941, 53952, 60237, 52592, 55776, 54575, 52528, 50816, 57675, 54691, 53118, 51703, 54740, 51142, 50437, 54361, 53674, 50442, 52933, 67831, 51550, 53000, 51524, 50446, 54740, 51824, 50451, 55360, 51203, 50816, 72184, 51737, 56976, 74799, 54361, 52782, 50460, 51802, 51142, 50816, 51998, 54428, 56373, 51809, 54740, 51142, 50418, 60245, 78408, 55084, 50420, 61744, 60156, 53101, 50978, 64403, 51297, 56676, 55086, 53603, 58468, 50816, 69572, 53313, 54969, 51965, 54895, 54887, 50426, 53267, 53280, 77627, 52794, 50430, 53101, 51051, 54254, 51824, 50435, 52933, 51142, 54895, 52179, 50439, 52624, 64946, 54949, 53313, 54428, 51376, 50448, 53101, 70547, 52101, 54254, 52167, 50453, 54895, 51254, 50454, 58358, 51269, 64403, 69249, 61744, 51126, 50458, 51802, 51210, 64403, 51126, 59088, 55776, 54801, 56329, 53125, 55776, 50816, 50368, 51342, 54386, 56837, 52783, 50799, 53267, 53577, 50416, 50816, 52462, 50419, 51802, 51210, 51070, 57826, 54361, 52179, 50423, 54895, 51470, 50425, 50816, 50358, 50994, 52794, 50428, 52624, 56949, 72184, 53306, 54428, 61957, 54361, 51824, 50437, 52549, 51172, 50816, 50361, 51342, 57826, 54895, 51210, 50442, 56660, 51269, 54428, 52179, 50443, 60245, 50984, 50446, 52173, 51645, 61744, 50827, 55654, 52916, 52867, 52916, 50816, 50368, 51342, 51737, 57215, 51447, 54895, 51006, 50451, 55052, 54228, 50455, 53101, 70547, 52794, 54254, 54071, 50460, 54063, 51008, 54895, 51210, 50461, 50816, 55084, 51809, 52624, 51645, 50816, 50368, 51342, 53024, 55554, 51412, 50421, 55052, 54521, 50426, 53101, 51645, 50816, 50361, 51342, 57826, 54254, 52179, 50430, 54428, 65948, 58358, 50984, 64403, 67194, 55084, 50435, 52549, 51172, 61744, 50971, 55745, 56329, 54801, 51490, 53125, 55086, 50816, 50368, 51342, 54691, 56265, 52980, 50436, 64403, 62889, 55052, 53674, 50444, 52549, 67831, 51819, 54361, 51862, 50448, 54895, 52731, 51899, 55084, 50453, 53101, 51172, 50816, 72184, 51737, 54428, 51852, 50458, 55052, 51862, 50799, 52549, 63445, 52101, 54361, 52731, 50419, 52549, 51051, 54895, 51862, 50420, 56660, 50984, 50422, 60245, 57079, 52173, 51172, 65662, 50827, 60587, 54829, 56676, 63160, 53603, 52212, 54575, 50359, 50411, 50816, 69721, 53313, 59862, 51080, 54254, 51376, 50428, 54969, 54211, 50432, 51802, 52034, 54029, 51824, 50437, 54254, 52167, 62434, 55084, 50442, 53101, 63445, 69803, 53313, 54740, 51051, 50446, 52624, 51542, 54969, 52731, 50451, 50816, 51269, 54029, 52179, 50455, 54740, 51376, 50457, 58358, 51126, 57655, 51123, 50770, 50310, 51894, 50460, 52933, 52528, 65662, 50904, 59088, 55586, 54801, 52720, 52592, 52916, 50816, 69721, 54386, 56837, 51637, 51809, 54757, 55812, 50421, 50816, 50361, 51342, 57826, 54361, 52179, 50426, 54254, 51524, 77627, 61078, 52794, 72958, 69803, 53306, 53000, 64945, 54895, 51210, 57008, 52101, 50439, 50816, 50362, 51342, 57826, 54740, 52192, 50444, 55554, 51008, 50448, 52624, 50977, 53344, 51662, 51719, 51535, 52932, 51295, 64403, 50844, 67281, 52136, 53815, 53486, 53125, 65278, 50816, 69803, 51737, 55052, 51703, 54428, 67042, 57106, 56458, 50453, 54361, 54228, 50458, 52624, 51210, 51414, 53838, 58358, 51851, 54895, 54887, 50461, 50816, 51693, 50799, 54063, 51008, 54428, 51142, 50416, 52109, 51333, 50419, 55360, 50955, 52948, 51330, 50816, 50363, 50954, 55237, 53024, 56976, 68582, 64403, 62791, 54361, 52460, 50428, 52624, 51008, 55386, 50905, 58358, 76396, 50364, 51342, 57826, 54895, 70057, 56976, 51058, 50434, 50913, 55084, 50437, 52933, 51051, 50945, 51592, 51303, 52980, 52109, 52598, 53001, 51477, 55386, 51148, 65662, 50838, 53952, 58468, 52592, 58468, 50816, 50368, 51342, 54691, 53118, 51703, 54740, 51210, 50442, 54361, 54228, 50446, 52933, 51008, 53000, 51862, 50449, 58358, 59641, 50451, 54740, 51365, 59986, 51998, 50455, 55360, 51203, 52932, 51330, 65662, 66382, 56706, 57233, 51737, 56976, 50978, 50460, 54361, 52179, 51601, 58358, 51376, 50416, 52933, 51254, 53001, 50368, 51106, 52462, 54895, 51824, 50421, 56976, 55656, 53101, 50978, 51105, 51677, 51687, 52598, 52948, 51310, 52932, 51391, 55783, 51490, 61744, 50905, 56676, 53866, 53603, 54573, 50816, 72184, 53313, 54969, 52136, 54428, 52192, 50430, 53267, 54211, 50435, 53101, 70547, 55084, 54895, 51862, 50436, 60245, 51319, 50439, 52933, 51142, 54254, 52731, 50444, 52624, 50933, 52932, 52011, 50816, 59469, 55237, 53313, 54428, 67139, 64403, 51172, 50448, 53267, 51824, 50453, 53101, 51051, 51980, 66382, 51252, 54254, 52179, 50458, 54428, 52731, 76309, 51210, 51228, 51662, 52102, 52015, 51651, 55586, 52109, 51351, 55862, 53280, 58358, 51333, 59088, 60237, 53125, 56329, 50816, 69803, 54386, 56837 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 6, 42, 765, 2214, 1575, 3459, 13305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 33704, 5675, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 1769, 20889, 9, 13950, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 272, 119, 6, 163, 428, 6, 272, 119, 6, 8, 163, 428, 3639, 7, 63, 20902, 8, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 61069, 50800, 50695, 50340, 55157, 57639, 53213, 56184, 51620, 55402, 51628, 61370, 50800, 50695, 50343, 52382, 61627, 50654, 50338, 50800, 50695, 50347, 56027, 71960, 51757, 61370, 50800, 50799, 61607, 50800, 50695, 50342, 59492, 56184, 51628, 61370, 50800, 50695, 50343, 53520, 50796, 50456, 56184, 50800, 50799, 61069, 50800, 50695, 50340, 60055, 56184, 51620, 55402, 51628, 61370, 50800, 50695, 50343, 52382, 61627, 56184, 50800, 50695, 50338, 56027, 61069, 51757, 56184, 50800, 50799, 55951, 50800, 74356, 59492, 53139, 51628, 55402, 50800, 50695, 50340, 53520, 50796, 50444, 55951, 51757, 55402, 51754, 56184, 50800, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 60055, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 51620, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 51628, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 50441, 52158, 50800, 53234, 50800, 52627, 51757, 52158, 50800, 53234, 50800, 52627, 52567, 52158, 50800, 53234, 50800, 52627, 50800, 52591, 52158, 50800, 53234, 50800, 52627, 52765, 52158, 50800, 53234, 50800, 52627, 51724, 50654, 50338, 50800, 52092, 50800, 52569, 50800, 54057, 50800, 50695, 50347, 56027, 71960, 50800, 51959, 50800, 52569, 50800, 52930, 51757, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 51754, 52092, 50800, 52569, 50800, 54057, 50800, 50799, 61607, 50800, 51771, 50800, 51959, 50800, 52569, 50800, 50695, 50342, 50983, 50423, 51771, 50800, 51959, 50800, 52092, 51620, 56184, 51628, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 53520, 50441, 52158, 50800, 53234, 50800, 52627, 51757, 52158, 50800, 53234, 50800, 52627, 52567, 52158, 50800, 53234, 50800, 52627, 50800, 52591, 52158, 50800, 53234, 50800, 52627, 52765, 52158, 50800, 53234, 50800, 52627, 51724, 52158, 50800, 53234, 50800, 52627, 51820, 51771, 50800, 51959, 50800, 52569, 51757, 52158, 50800, 53234, 50800, 52627, 51754, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 60055, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 51620, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 51628, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 50441, 52158, 50800, 53234, 50800, 52627, 51757, 52158, 50800, 53234, 50800, 52627, 52567, 52158, 50800, 53234, 50800, 52627, 50800, 52591, 52158, 50800, 53234, 50800, 52627, 52765, 52158, 50800, 53234, 50800, 52627, 51724, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50695, 50338, 56027, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 51757, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 51754, 52647, 50800, 51771, 50800, 51959, 50800, 50799, 55951, 50800, 52003, 50800, 51890, 50800, 52158, 50800, 74356, 50983, 50423, 52951, 50800, 52647, 50800, 51771, 51620, 53139, 51628, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 50695, 50340, 53520, 50441, 52647, 50800, 51771, 50800, 51959, 51757, 52647, 50800, 51771, 50800, 51959, 52567, 52647, 50800, 51771, 50800, 51959, 50800, 52591, 52647, 50800, 51771, 50800, 51959, 52765, 52647, 50800, 51771, 50800, 51959, 51724, 52647, 50800, 51771, 50800, 51959, 51820, 55951, 50800, 52003, 50800, 51890, 50800, 52158, 51757, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 51754, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 50983, 51338, 51730, 53213, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51338, 51049, 55447, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51730, 54736, 54053, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 51533, 51049, 50930, 51450, 55092, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 66027, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 50880, 51453, 58561, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 50800, 51528, 53213, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51049, 50930, 52389, 54736, 57850, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 70565, 56341, 50654, 50338, 50800, 52092, 50800, 52569, 50800, 54057, 50800, 50695, 50347, 50918, 51137, 51730, 52940, 71960, 50800, 51959, 50800, 52569, 50800, 52930, 50800, 51137, 51049, 55510, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 51137, 51730, 54736, 54647, 52092, 50800, 52569, 50800, 54057, 50800, 51137, 51049, 50930, 50799, 61607, 50800, 51771, 50800, 51959, 50800, 52569, 50800, 50695, 50342, 50983, 51181, 51730, 66421, 59214, 51771, 50800, 51959, 50800, 52092, 50800, 51181, 51620, 56184, 51730, 54736, 54053, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 53520, 51533, 51049, 50930, 51450, 55092, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 66027, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 50880, 51453, 58561, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 50800, 51528, 53213, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51049, 50930, 52389, 54736, 57850, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 70565, 56341, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 52940, 51771, 50800, 51959, 50800, 52569, 50800, 51533, 51049, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 54647, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51533, 51049, 50930, 50799, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 50695, 50340, 50983, 51338, 51730, 53213, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51338, 51049, 55447, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51730, 54736, 54053, 61370, 50800, 52158, 50800, 53234, 50800, 52627, 50800, 50695, 50343, 52382, 51533, 51049, 50930, 51450, 55092, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 66027, 55510, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51730, 54736, 50880, 51453, 58561, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 50800, 51528, 53213, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 51049, 50930, 52389, 54736, 57850, 52158, 50800, 53234, 50800, 52627, 50800, 51533, 70565, 56341, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 50695, 50338, 50918, 51727, 51730, 52940, 61069, 50800, 51771, 50800, 51959, 50800, 53234, 50800, 51727, 51049, 55510, 56184, 50800, 51771, 50800, 51959, 50800, 52092, 50800, 51727, 51730, 54736, 54647, 52647, 50800, 51771, 50800, 51959, 50800, 51727, 51049, 50930, 50799, 55951, 50800, 52003, 50800, 51890, 50800, 52158, 50800, 74356, 50983, 54311, 51730, 66421, 59214, 52951, 50800, 52647, 50800, 51771, 50800, 54311, 51620, 53139, 51730, 54736, 54053, 55402, 50800, 52647, 50800, 51771, 50800, 51959, 50800, 50695, 50340, 53520, 51338, 51049, 50930, 51450, 55092, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 66027, 55510, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51730, 54736, 50880, 51453, 58561, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 50800, 51528, 53213, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 51049, 50930, 52389, 54736, 57850, 52647, 50800, 51771, 50800, 51959, 50800, 51338, 70565, 56341, 52647, 50800, 51771, 50800, 51959, 50800, 51338 ]

[ 0, 250, 765, 5175, 15855, 15229, 14, 7630, 6568, 10, 25306, 5466, 6, 29354, 19448, 8, 2933, 4785, 19, 3722, 5581, 4, 20, 385, 922, 438, 15677, 6, 13305, 6, 15054, 17838, 6, 4401, 757, 3178, 6, 8, 769, 196, 6757, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 6, 2060, 6, 230, 10431, 6, 274, 10431, 6, 8, 163, 3639, 7, 5, 2125, 18, 5679, 26709, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51001, 52024, 51001, 52024, 56967, 61086, 50965, 52024, 50965, 52024, 56283, 51077, 50456, 55611, 53848, 55611, 50808, 57346, 54834, 51040, 52024, 63089, 51353, 58258, 54275, 58258, 52734, 56283, 53184, 56283, 52450, 56967, 53847, 56967, 52559, 62882, 53263, 62882, 52599, 69069, 54134, 69069, 52711, 62882, 53668, 62882, 52741, 56967, 53987, 56967, 52643, 56283, 53848, 56283, 50808, 58540, 52024, 51028, 52024, 57306, 61086, 50989, 52024, 50989, 52024, 57719, 51077, 57542, 54834, 51086, 54834, 63089, 55428, 66205, 54275, 66205, 52734, 57719, 53184, 57719, 52450, 57306, 53847, 57306, 52559, 62882, 53263, 62882, 52599, 69069, 54134, 69069, 52711, 66205, 50808, 62882, 53668, 62882, 52741, 66205, 50808, 57306, 53987, 57306, 52643, 66205, 50808, 57719, 53848, 57719, 50808, 57844, 52024, 50973, 52024, 57255, 51077, 59419, 52024, 50916, 52024, 57237, 51077, 56310, 52024, 51027, 52024, 63089, 52122, 57862, 54275, 57862, 52734, 57237, 53184, 57237, 52450, 57255, 53847, 57255, 52559, 58827, 53263, 58827, 52599, 59296, 54134, 59296, 52711, 58827, 53668, 58827, 52741, 57255, 53987, 57255, 52643, 57237, 53848, 57237, 50808, 54852, 51264, 50877, 52024, 57483, 54275, 57483, 52734, 57237, 53184, 57237, 52450, 55010, 53847, 55010, 52559, 57237, 53263, 57237, 52599, 50916, 52024, 50916, 52024, 57483, 54134, 57862, 52711, 57237, 53668, 57237, 52741, 55010, 53987, 55010, 52643, 57237, 53848, 57237, 50808, 58526, 51077, 51176, 52024, 50661, 50276, 53898, 50661, 50276, 53898, 50666, 50288, 50911, 50671, 50288, 55446, 50666, 50288, 51090, 50671, 50288, 55920, 54872, 53668, 54872, 52741, 51687, 53987, 51687, 52643, 54872, 50808, 50671, 50288, 51090, 67718, 54275, 51249, 52734, 51651, 53184, 51651, 52450, 51249, 53847, 51651, 52559, 51465, 53263, 54872, 52599, 51249, 50808, 50666, 50288, 50882, 50671, 50288, 61618, 51249, 50808, 50666, 50291, 55920, 51651, 50808, 50666, 50291, 57674, 54872, 50808, 50666, 50288, 50882, 50671, 50288, 54988, 51465, 50808, 50666, 50291, 59574, 51465, 50808, 50666, 50291, 54403, 54872, 50808, 50666, 50288, 50882, 50671, 50288, 58361, 51465, 50808, 50666, 50291, 50882, 50799, 52070, 54834, 53335, 51196, 59916, 51196, 50666, 50291, 50911, 50671, 50291, 55446, 50666, 50291, 50911, 50671, 50291, 53917, 57081, 50808, 50671, 50291, 57836, 57081, 50808, 50671, 50291, 55381, 50931, 51991, 50931, 53363, 51303, 50808, 52327, 51196, 56176, 51196, 50441, 51414, 52711, 51651, 53668, 51687, 52741, 51303, 53987, 52303, 52643, 52571, 50808, 50666, 50291, 50882, 50671, 50291, 58361, 52303, 50808, 50666, 50290, 50882, 50671, 50290, 50882, 58540, 53363, 54872, 50805, 52361, 51585, 55287, 51196, 50666, 50288, 50911, 50671, 50288, 55446, 54872, 50805, 50666, 50288, 50911, 50671, 50288, 53917, 51028, 51538, 50671, 50288, 57836, 50671, 50288, 55381, 62362, 66336, 52381, 50805, 54050, 50806, 52943, 52931, 51948, 50805, 54050, 50806, 53016, 50806, 50799, 52461, 51077, 53399, 51196, 50668, 50283, 51090, 66370, 51204, 50671, 50295, 51090, 50417, 51028, 52024, 50432, 51360, 50808, 50668, 50281, 50882, 61165, 50808, 50671, 50293, 57836, 51324, 50808, 50668, 50279, 50882, 50668, 50291, 50808, 50671, 50291, 55381, 51360, 51077, 52461, 51077, 51948, 53898, 53016, 51196, 50668, 50281, 51496, 61165, 51141, 50671, 50293, 51496, 50456, 50668, 50279, 50882, 50668, 50291, 50808, 50671, 50293, 58361, 50668, 50278, 50882, 62349, 50808, 50671, 50293, 50882, 50799, 52070, 51623, 51651, 50803, 52678, 51196, 62349, 51077, 50668, 50278, 52282, 50671, 50291, 51551, 50417, 51651, 55446, 51651, 54588, 51651, 53450, 51651, 54889, 51651, 54150, 51651, 56857, 51651, 58604, 51651, 70546, 51651, 62095, 51651, 52101, 50447, 51651, 52794, 50450, 51651, 55084, 50453, 51651, 55084, 50456, 51948, 50821, 51651, 55084, 53016, 50821, 50671, 50291, 58361, 51837, 50821, 51651, 55084, 53085, 50821, 50671, 50291, 50882, 56229, 51264, 52929, 51196, 51825, 51264, 55287, 51196, 50668, 50281, 51551, 53408, 51264, 50671, 50293, 54856, 72514, 51538, 72514, 52266, 50438, 52381, 51274, 52943, 51274, 50456, 52381, 50821, 52943, 54863, 51948, 50821, 53016, 50821, 57923, 51264, 52461, 51196, 53399, 51196, 50668, 50281, 50911, 54614, 51264, 50671, 50293, 55446, 72514, 51991, 50668, 50281, 50911, 50671, 50293, 54856, 72514, 52282, 50438, 52070, 51160, 52678, 52692, 52678, 54787, 52381, 50821, 52943, 53153, 51948, 50896, 53016, 55982, 52678, 66911, 50668, 50281, 50882, 50671, 50293, 58361, 50668, 50281, 50882, 50671, 50293, 50882, 50799, 52381, 51469, 51948, 51469, 53234, 51264, 51465, 51623, 50668, 50276, 57487, 50668, 50276, 50911, 50799, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 68641, 50882, 50668, 50276, 50882, 50671, 50293, 60845, 52381, 50806, 51948, 50806, 54057, 50805, 51687, 50805, 56922, 50882, 50668, 50276, 50911, 50671, 50293, 55446, 56194, 57625, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 52745, 50882, 50668, 50278, 50882, 50671, 50293, 54856, 52381, 50806, 51948, 50806, 54057, 50805, 51687, 50805, 52027, 50882, 50668, 50278, 50911, 50671, 50293, 58465, 51929, 53917, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 51773, 50882, 50668, 50279, 50882, 50671, 50293, 57836, 52381, 50806, 51948, 50806, 54057, 50805, 51687, 50805, 52361, 50882, 50668, 50279, 50911, 50671, 50293, 55381, 52603, 61618, 52381, 50821, 51948, 50821, 54057, 50808, 51687, 50808, 51773, 50882, 50668, 50281, 50882, 50671, 50293, 55920, 52040, 50821, 51847, 50821, 53643, 50808, 51687, 50805, 52361, 50882, 50668, 50281, 51427, 50671, 50293, 57674, 51561, 50821, 51494, 50821, 52775, 50808, 52603, 54988, 51494, 50821, 51512, 50821, 52427, 50808, 51687, 50808, 51773, 50882, 50671, 50293, 59574, 51512, 50821, 51429, 50821, 53464, 50808, 51687, 50805, 52361, 50882, 50668, 50283, 51427, 50671, 50293, 54403, 51429, 50821, 51777, 50821, 53234, 50808, 52603, 58361, 79630, 51639, 50821, 52070, 50821, 51687, 50808, 51773, 50882, 50671, 50293, 50882, 57923, 52024, 51001, 52570, 50665, 50290, 50808, 50665, 50290, 50821, 50671, 50292, 55446, 50665, 50295, 50808, 50665, 50295, 50821, 50671, 50295, 57625, 50665, 50302, 50805, 50665, 50302, 50806, 50671, 50292, 54856, 55611, 74450, 50665, 50295, 50808, 50665, 50295, 50821, 50671, 50292, 53917, 66597, 50805, 66597, 50806, 50671, 50292, 55381, 50965, 53601, 50665, 50302, 50808, 50665, 50302, 50821, 50671, 50292, 61618, 50665, 50297, 50808, 50665, 50297, 53247, 55611, 50822, 50665, 50290, 51116, 50665, 50290, 51160, 50671, 50292, 57674, 55611, 53140, 55611, 77058, 50665, 50291, 50808, 50665, 50291, 52935, 50665, 50290, 50805, 50665, 50290, 50806, 50671, 50292, 50882, 57346, 54834, 55611, 50844, 50665, 50290, 50805, 50665, 50290, 58718, 55611, 53932, 55611, 50822, 50665, 50290, 50805, 50665, 50290, 50806, 50671, 50292, 57625, 55611, 53049, 55611, 50905, 50665, 50288, 50805, 50665, 50288, 50806, 50671, 50290, 58465, 52102, 52559, 55611, 50822, 50665, 50290, 51623, 50665, 50290, 51685, 50671, 50292, 57836, 52102, 52599, 52102, 50808, 55611, 58935, 51687, 52711, 55611, 50833, 50671, 50292, 57674, 55611, 50833, 50671, 50292, 54988, 52102, 51116, 55611, 51090, 58540, 54834, 51028, 56094, 50665, 50290, 50808, 50665, 50290, 50821, 50671, 50290, 55446, 50665, 50295 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 9590, 6, 8, 32909, 6, 278, 11, 10, 20902, 231, 73, 398, 86, 6543, 23, 10, 12701, 4450, 20889, 11, 5, 762, 9, 272, 538, 6, 19, 10, 33215, 16739, 9, 1918, 406, 6, 163, 119, 406, 6, 8, 3676, 2351, 10, 32076, 8, 19448, 5466, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50636, 50791, 50817, 51570, 50837, 50462, 51842, 63578, 50791, 50817, 51570, 50837, 52320, 50817, 50462, 69302, 51540, 51964, 52121, 51280, 52337, 51198, 52096, 51099, 51717, 51299, 52337, 52257, 51896, 50438, 51808, 51358, 50462, 51607, 51145, 51540, 52257, 78464, 52676, 51808, 51103, 50462, 51607, 50918, 51540, 51280, 51243, 51232, 51243, 51099, 51313, 51429, 51293, 51275, 51307, 51251, 53413, 52257, 64050, 51808, 51591, 50462, 51607, 51446, 51540, 51280, 55844, 51232, 57820, 51099, 53380, 51153, 53259, 51489, 53363, 51301, 52644, 52257, 59770, 52676, 51808, 50918, 50462, 51607, 51446, 51540, 52419, 52024, 51708, 52096, 51280, 52121, 51232, 51717, 51099, 51717, 51153, 52250, 51489, 52121, 53215, 52121, 51088, 52121, 52257, 61086, 51808, 51803, 50462, 51607, 51291, 51540, 52830, 51801, 51093, 52121, 52257, 78464, 52676, 51280, 51472, 51232, 51591, 51808, 51623, 50462, 51099, 51745, 51607, 51077, 51540, 51232, 51717, 51119, 52149, 51883, 52337, 51113, 52204, 51266, 52204, 52257, 64164, 51808, 51591, 50462, 51607, 51397, 51540, 52257, 59770, 52676, 51808, 51077, 50462, 51607, 51413, 51540, 51140, 52122, 51876, 51717, 51280, 52121, 51144, 52121, 51099, 51717, 51153, 52149, 52907, 52337, 51887, 51079, 51883, 52204, 51113, 52121, 51266, 53454, 51898, 53454, 52257, 68875, 51808, 51358, 50462, 51607, 51291, 51540, 51107, 52826, 52298, 53478, 52257, 77229, 52676, 51808, 50918, 50462, 51357, 51397, 51607, 51446, 51540, 51140, 52121, 51093, 51801, 51266, 52337, 51431, 52644, 52257, 61086, 51808, 51077, 50462, 51607, 51397, 51540, 51485, 51243, 52257, 51077, 70561, 52676, 51808, 51336, 50462, 51744, 51080, 51607, 51291, 51540, 51273, 52122, 52176, 51717, 51280, 51717, 51144, 51717, 51119, 52096, 52371, 52250, 51883, 51717, 51431, 52204, 52257, 61086, 51808, 51336, 50462, 51607, 51562, 51540, 52257, 67481, 50791, 52676, 51808, 51336, 50462, 51607, 51446, 51540, 51273, 51059, 52176, 51059, 51280, 51745, 51144, 51059, 51119, 51059, 51171, 50983, 50848, 51189, 79274, 75707, 52371, 51161, 51883, 51161, 52067, 51745, 52629, 51029, 57238, 62066, 52676, 51273, 51029, 52176, 51761, 51280, 51745, 51144, 51029, 51119, 51029, 51171, 51091, 59769, 50872, 59331, 52067, 51237, 52629, 51059, 57238, 70548, 50817, 50462, 55094, 51540, 51098, 51029, 51869, 51029, 51099, 51573, 51429, 51552, 51275, 51761, 50988, 50983, 51042, 51115, 50848, 51141, 50847, 51141, 51699, 51161, 53147, 51552, 53954, 51029, 61477, 62066, 51636, 57280, 51029, 51869, 51059, 76806, 51429, 51054, 51275, 51059, 50988, 64539, 60871, 58311, 53147, 51090, 53954, 50824, 61477, 70548, 50817, 51474, 51474, 51540, 51964, 52121, 51280, 52337, 51198, 52096, 51099, 51717, 52257, 51896, 53085, 52442, 50417, 53085, 52442, 50438, 51808, 51358, 50462, 51607, 51145, 51540, 52257, 51077, 53085, 56769, 70561, 55265, 53085, 56769, 50438, 51808, 51103, 50462, 51607, 50918, 51540, 51280, 51243, 51232, 51243, 51099, 51313, 51429, 51293, 51275, 51307, 52257, 51103, 53085, 54454, 50417, 53085, 54454, 50438, 51808, 51591, 50462, 51607, 51446, 51540, 51280, 55844, 51232, 57820, 51099, 53380, 51153, 53259, 51489, 53363, 52257, 50918, 53085, 52311, 50791, 55265, 53085, 52311, 50438, 51808, 50918, 53399, 52195, 50441, 53399, 51551, 50462, 51607, 51446, 52235, 51472, 50465, 52235, 51336, 51540, 52419, 52024, 51708, 52096, 51280, 52121, 51232, 51717, 51099, 51717, 51153, 52250, 51489, 52121, 52257, 51077, 51992, 55362, 50417, 51992, 55362, 50438, 51808, 51803, 50462, 51607, 51291, 51540, 52257, 51077, 51992, 52208, 50791, 55265, 51992, 52208, 50438, 51280, 51472, 51232, 51591, 51808, 51623, 50462, 51099, 51745, 51607, 51077, 51971, 51127, 50465, 51971, 51675, 51540, 51232, 51717, 51119, 52149, 52257, 51183, 52235, 52024, 50417, 52235, 52024, 50438, 51808, 51591, 50462, 51607, 51397, 51540, 52257, 67481, 50791, 52676, 51808, 51077, 50462, 51607, 51413, 51756, 52097, 50465, 51756, 51527, 51540, 51140, 52122, 51876, 51717, 51280, 52121, 51144, 52121, 51099, 51717, 51153, 52149, 52257, 51358, 52235, 52379, 50417, 52235, 56769, 50438, 51808, 51358, 50443, 50636, 50462, 51607, 51291, 51540, 52257, 51336, 52235, 52311, 50791, 55265, 52235, 52369, 50438, 51808, 50918, 50462, 51607, 51446, 52235, 51241, 50465, 52235, 51218, 51540, 51140, 52121, 52257, 51077, 52235, 52827, 50417, 52235, 53174, 50438, 51808, 51077, 50462, 51607, 51397, 52235, 51157, 50465, 52235, 51204, 51540, 52257, 51077, 52235, 52512, 50791, 55265, 52235, 51870, 50438, 51808, 51336, 51992, 51661, 50441, 51992, 51356, 50462, 51607, 51291, 51756, 51413, 50465, 51756, 51103, 51540, 51984, 53478, 51198, 51145, 51099, 53651, 51153, 53233, 51614, 51314, 51434, 54143, 51607, 56515, 51992, 53501, 50417, 51992, 53501, 50438, 51198, 51977, 51614, 51790, 50462, 51232, 51677, 51660, 52140, 51540, 51150, 53413, 51280, 53259, 51099, 54454, 51153, 53753, 51774, 53487, 51434, 52919, 51607, 54249, 50791, 52676, 51198, 51127, 51614, 51244, 50462, 51232, 51452, 51660, 51680, 51540, 51389, 54300, 51144, 51336, 51099, 52208, 51153, 55362, 51515, 51047, 51434, 51264, 51607, 53259, 50438, 51144, 51103, 51515, 51148, 50462, 51099, 50859, 51434, 50810, 51540, 51098, 54454, 51869, 51243, 51144, 51742, 51099, 52069, 51153, 51991, 52769, 51445, 51434, 51538, 51607, 51486, 50791, 52676, 51198, 51127, 51614, 51749, 50462, 51144, 51212, 51515, 51328, 51540, 51150, 52829, 51964, 52121, 51280, 52337, 51198, 52096, 51099, 51717, 50885, 53082, 51774, 52829, 51614, 52204, 51660, 51801, 51434, 52096, 52257, 51896, 53085, 52442, 50417, 53085, 52442, 50438, 51808, 51358, 50462, 51607, 51145, 51540, 50848, 53413, 52257, 51077, 53085, 56769, 50791, 55265, 53085, 56769, 50438, 51808, 51103, 50462, 51607, 50918, 51540, 51280, 51243, 51232, 51243, 51099, 51313, 51429, 51293, 51275, 51307, 50868, 51717, 52257, 51103, 53085, 54454, 50417, 53085, 54454, 50438, 51808, 51591, 50462, 51607, 51446, 51540, 51280, 55844, 51232, 57820, 51099, 53380, 51153, 53259, 51489, 53363, 52257, 50918, 53085, 52311, 50791, 55265, 53085, 52311, 50438, 51808, 50918, 53399, 52195, 50441, 53399, 51551, 50462, 51607, 51446, 52235, 51472, 50465, 52235, 51336, 51540, 52419, 52024, 51708, 52096, 51280, 52121, 51232, 51717, 51099, 51717, 51153, 52250, 51489, 52121, 52257, 51077, 51992, 55362, 50417, 51992, 55362, 50438, 51808, 51803, 50462, 51607, 51291, 51540, 52257, 51077, 51992, 52208, 70561, 55265, 51992, 52208, 50438, 51280, 51472, 51232, 51591, 51808, 51623, 50462, 51099, 51745, 51607, 51077, 51971, 51127, 50465, 51971, 51675, 51540, 51232, 51717, 51119, 52149, 52257, 51183, 52235, 52024, 50417, 52235, 52024, 50438, 51808, 51591, 50462, 51607, 51397, 51540, 52257, 59770, 52676, 51808, 51077, 50462, 51607, 51413, 51756, 52097, 50465, 51756, 51527, 51540, 51140, 52122, 51876, 51717, 51280, 52121, 51144, 52121, 51099, 51717, 51153, 52149, 52257, 51358, 52235, 52379, 50417, 52235, 56769, 50438, 51808, 51358, 50462, 51607, 50818, 51607, 51291, 51540, 51440, 51452, 52257, 51336, 52235, 52369, 50791, 55265, 52235, 52369, 50438, 51434, 51717, 51808, 50918, 50462, 51515, 51717, 51607, 51446, 52235, 51241, 50465, 52235, 51218, 51540, 51140, 52121, 51614, 53082, 52257, 51077, 52235, 52827, 50417, 52235, 53174, 50438, 51808, 51077 ]

[ 0, 250, 2635, 8, 5679, 26709, 5175, 19834, 4246, 10, 13305, 483, 7513, 30, 3459, 9590, 6, 38668, 11212, 6, 6755, 12547, 6, 8, 5730, 2342, 4467, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 9066, 5466, 10686, 13, 33558, 50, 822, 38270, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 53028, 50821, 51544, 79161, 50812, 52320, 50812, 56807, 53531, 50319, 70606, 73453, 51469, 53953, 51353, 56679, 51151, 53361, 51293, 56336, 51151, 79579, 52422, 50906, 53177, 50319, 76110, 54729, 51081, 55246, 50906, 54362, 51001, 53177, 50324, 64609, 58833, 50951, 67286, 72341, 63962, 50931, 56860, 67564, 55694, 51527, 50931, 75677, 51336, 50902, 51336, 53679, 51047, 52583, 51047, 55796, 51047, 53361, 62479, 50931, 55214, 50906, 52322, 51026, 53531, 50323, 53177, 50318, 69797, 51016, 53679, 51047, 56643, 50915, 53465, 51003, 56336, 57197, 50931, 52530, 50315, 52530, 50318, 51958, 50303, 51054, 54008, 50915, 56470, 50915, 55796, 51003, 57923, 72502, 51196, 50876, 51551, 50906, 51551, 53465, 51183, 53460, 51047, 56679, 51047, 52507, 51145, 63766, 52247, 50902, 54729, 50906, 58395, 50906, 51336, 51001, 52370, 50302, 51356, 53679, 51183, 54522, 51047, 53361, 51183, 52693, 70268, 50931, 52610, 50902, 55764, 50906, 50879, 58526, 51356, 50861, 51336, 50876, 50879, 65143, 51183, 52507, 51183, 54165, 51183, 53465, 51183, 53953, 51047, 58973, 52247, 51001, 55214, 50931, 55122, 50902, 51336, 50951, 75050, 51551, 50906, 51196, 53361, 51047, 52693, 51145, 54522, 63897, 50931, 55967, 50770, 50321, 54209, 55230, 51001, 50879, 50903, 54698, 54712, 50902, 64503, 50798, 50894, 57923, 52370, 50307, 50896, 56336, 50915, 56679, 51003, 53361, 50981, 56464, 72808, 50791, 54892, 51081, 50923, 52817, 52801, 53527, 50950, 50770, 50321, 52964, 55229, 50931, 63461, 62571, 51013, 54467, 50795, 55796, 50915, 53361, 51003, 53679, 61701, 54698, 51739, 54440, 67564, 52817, 59618, 51081, 51739, 77451, 52756, 51012, 62204, 74198, 52297, 50319, 50893, 53465, 51003, 52507, 51003, 56679, 51003, 56464, 69824, 50791, 54586, 51001, 50858, 52817, 52516, 57152, 51081, 50859, 52756, 50817, 50770, 50321, 54209, 78055, 50448, 52817, 71540, 54375, 50908, 52756, 53409, 50997, 53177, 50318, 57952, 51090, 54324, 51221, 53361, 50981, 52693, 50915, 53679, 61737, 54698, 51739, 54712, 50902, 51508, 57308, 77053, 53200, 52304, 50894, 56178, 51551, 51176, 51196, 50876, 51551, 50965, 51336, 53664, 50879, 54165, 51183, 53465, 51183, 53953, 51145, 56464, 72808, 50791, 54892, 53200, 53960, 57852, 50770, 50321, 54209, 51739, 54631, 54324, 50879, 50903, 54698, 51739, 54440, 52756, 58395, 50906, 51527, 50997, 51336, 50951, 50923, 52817, 50805, 53361, 51183, 52693, 51047, 53679, 51183, 56464, 50949, 51572, 69824, 50791, 54586, 50931, 50806, 52756, 53417, 57152, 50770, 50321, 54209, 51739, 75557, 54324, 63589, 51001, 70693, 54698, 51739, 54712, 50902, 50923, 53200, 64959, 56464, 50894, 57923, 78171, 51054, 54942, 50911, 53361, 50915, 56679, 50915, 56336, 50981, 56464, 72808, 50791, 54892, 51081, 50893, 52817, 55747, 53527, 50858, 50770, 50321, 52964, 50949, 53337, 72117, 76932, 51016, 54467, 50795, 55796, 50915, 53679, 51003, 53361, 61701, 54698, 51739, 54440, 51001, 50859, 52817, 62960, 51081, 51508, 55734, 50876, 74198, 53177, 50319, 50806, 52756, 51286, 56679, 51003, 52507, 51003, 53465, 51003, 56464, 69824, 50791, 54586, 51001, 50859, 52817, 51594, 57152, 51081, 50821, 50770, 50321, 54209, 78055, 50448, 52756, 51031, 52817, 60374, 52756, 52396, 50997, 53177, 50314, 73988, 50911, 54324, 51194, 52693, 50915, 53679, 50915, 53361, 61701, 54698, 51739, 54712, 50902, 52153, 57308, 51001, 52189, 50894, 57190, 51551, 50876, 51356, 51176, 51196, 50956, 51196, 53953, 51183, 53465, 51145, 54165, 51183, 56464, 72808, 50791, 54892, 53664, 52189, 57852, 53200, 50894, 50770, 50321, 54209, 51739, 54631, 54324, 59899, 54698, 51739, 54440, 52756, 55122, 50997, 51336, 50906, 51196, 50951, 50879, 52817, 50795, 53679, 51047, 52693, 51145, 53361, 51047, 56464, 50949, 51572, 69824, 50791, 54586, 50931, 50806, 52756, 56022, 57152, 50770, 50321, 54209, 51739, 55230, 51001, 50806, 54324, 58713, 54698, 51739, 56328, 53200, 53875, 78121, 53200, 60343, 54324, 51747, 78055, 55563, 62667, 53177, 50288, 53531, 50300, 68638, 52530, 50307, 79981, 50896, 53200, 51505, 53465, 51003, 52507, 50915, 53953, 51003, 56464, 72808, 50791, 68936, 54324, 57572, 50770, 50321, 52964, 55229, 51186, 52530, 50302, 52530, 50318, 68669, 53531, 50314, 53531, 50290, 50896, 53679, 50915, 53361, 51003, 52693, 63184, 54698, 78055, 50427, 53200, 65174, 53200, 56966, 54324, 51049, 50894, 55208, 51160, 50871, 51160, 50902, 51235, 51214, 51160, 51026, 51238, 50906, 51235, 53361, 51255, 52693, 51203, 53679, 51203, 56464, 64916, 53200, 51138, 50443, 50791, 54586, 54324, 53710, 57152, 51325, 51226, 51176, 51294, 50861, 51294, 50876, 51541, 51503, 51573, 50956, 51573, 54165, 51134, 52507, 51134, 53953, 51134, 53465, 51134, 50770, 50321, 54209, 51739, 75557, 53664, 51798, 50903, 54698, 51739, 54712, 52756, 51739, 57308, 54324, 51582, 50894, 55563, 73453, 52297, 50288, 74129, 53177, 50316, 78828, 53531, 50300, 51016, 53200, 51054, 53465, 50915, 53953, 50915, 52507, 55530, 51739, 72808, 50791, 72086, 57852, 50770, 50321, 54209, 51739, 54631, 51186, 51235, 50997, 51238, 50906, 51460, 50902, 51235, 51234, 51460, 50871, 51238, 54324, 50991, 53679, 51203, 52693, 51255, 53361, 51203, 50903, 54698, 51739, 56966, 51105, 51685, 50906, 51285, 50861, 51196, 51197, 51896, 50902, 51274, 52046, 52282, 54942, 51343, 53361, 51452, 53679, 51452, 52507, 51452, 53953, 51452, 51450, 51739, 50949, 51572, 69824, 50791, 74510, 57152, 51001, 50859, 50770, 50321, 54209, 51739, 55230, 50902, 51090, 50903, 54698, 51739, 56328, 50906, 51238, 72786, 50806, 52756, 58561, 50956, 50894, 54324, 52972, 78055, 55563, 62596, 51958, 50300, 53177, 50307, 53177, 50312, 52530, 50288, 66677, 51090, 53200, 50923, 53465, 50915, 52507, 50915, 53953, 55530, 51739, 72808, 50791, 54892, 54324, 53471, 50770, 50321, 52964, 55229, 51186, 51958, 50290, 52530, 50302, 52530, 50318, 53531, 50309, 53177, 50314, 51016, 53200, 50923, 52693, 51003, 53679, 50981, 53361, 61701, 54698, 51739, 54440, 53200, 55632, 54324, 51049, 50894, 55208, 51427, 50906, 51238, 51026, 51460, 50871, 51160, 51214, 51460, 50902, 51235, 53200, 51012, 52693, 51203, 53361, 51203, 53679, 51255, 56464, 69824, 50791, 54586, 54324, 52201, 57152, 51325, 51226, 51503, 51362, 50861, 51541, 50956, 51294, 50876, 51226, 51176, 51226, 53953, 51351, 52507, 51134, 53465, 51134, 54165, 51391, 50770, 50321, 54209, 51739, 55230, 54942, 51158, 50903, 54698, 78055, 51453, 57308, 54324, 51421, 50894, 55563, 73453, 53177, 50312, 52297, 50288, 69797, 70514, 50882, 51176, 62667, 51016, 53200, 51012, 52507, 51003, 53465, 51003, 53953, 55530, 51739, 61429, 50899, 50923, 50419, 50791, 54892, 54324, 51575, 57852, 50956, 50859, 50770, 50321, 54209, 51739, 54631, 51186, 51160, 50871, 51427, 50997, 51460, 51234, 51238, 50906, 51235, 50899, 51235, 53200, 50911, 52583, 51203, 52693, 51255, 53361, 51203, 50903, 54698, 51739, 54440, 54324, 56535, 51105, 51977, 50906, 51160, 50861, 52282, 52046, 52311, 50899, 51541, 51197, 51977, 53527, 50923, 52583, 51790, 53361, 51790, 52507, 51790, 53953, 51452, 51450, 51739, 59120, 50906, 51285, 54467, 52189, 69824, 50791, 54586, 50871, 50882, 52817, 51739, 57152, 50899, 50879, 52756, 51566, 50770, 50321, 54209, 51739, 55230, 50899, 51016, 50903, 54698, 51739, 56328, 50871, 52935, 50906, 66120, 53527, 53690, 78055, 52354, 51551 ]

[ 0, 250, 15352, 30054, 8, 20425, 3495, 13305, 2125, 11, 274, 538, 6, 42, 765, 2214, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 274, 119, 6, 272, 119, 6, 230, 6, 8, 211, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 50997, 67738, 61816, 51091, 60284, 54919, 50997, 67738, 54725, 51050, 61178, 51091, 62335, 67738, 55700, 51050, 55178, 50997, 67738, 62054, 67523, 51050, 50865, 53975, 62164, 70459, 51091, 56978, 50865, 53523, 62164, 54725, 51026, 61816, 51091, 55203, 62164, 55700, 51026, 55178, 50900, 62164, 70459, 55037, 51026, 73027, 50865, 54206, 62054, 71389, 51358, 56945, 50865, 53337, 62054, 54725, 51027, 54930, 51040, 62054, 55700, 50997, 55178, 51040, 62054, 51828, 50325, 55037, 50997, 51828, 50326, 50865, 53975, 62164, 71389, 51358, 56978, 50865, 53523, 62164, 54725, 51026, 54930, 51027, 62054, 50865, 55513, 55178, 51027, 62054, 73027, 67523, 50900, 50865, 54955, 79658, 70459, 51358, 54569, 54919, 51026, 79658, 54725, 50899, 54930, 51026, 79658, 55700, 50899, 55178, 51026, 79658, 51828, 50325, 67523, 50899, 50865, 53975, 62164, 51828, 50326, 51291, 55902, 50865, 53523, 62164, 54725, 50861, 54930, 50900, 62164, 71676, 51048, 58365, 55178, 50900, 62164, 70459, 67523, 50861, 50865, 56178, 61336, 64806, 56202, 50906, 51048, 63174, 52262, 50906, 51091, 55898, 63656, 56811, 50876, 55037, 50902, 51291, 53975, 72424, 62715, 51001, 52262, 50931, 59067, 50997, 65842, 56027, 51146, 51798, 51405, 51923, 51339, 50807, 56178, 50865, 55902, 64122, 71027, 51631, 50861, 64122, 50809, 51405, 51736, 50861, 61178, 51828, 50333, 52424, 50956, 55700, 50861, 64122, 71027, 51798, 50861, 64122, 50809, 51405, 51923, 50861, 61178, 51828, 50333, 50918, 54206, 50865, 55961, 64122, 52329, 50871, 64122, 52359, 50871, 61178, 51828, 50337, 50983, 55898, 55700, 50871, 64122, 52555, 50871, 64122, 50809, 52052, 55037, 50871, 61178, 51828, 50333, 51161, 53975, 50865, 55902, 64122, 52329, 50861, 64122, 52359, 50861, 61178, 54930, 50899, 55700, 50871, 60191, 50809, 51405, 52728, 50871, 60191, 52485, 50871, 67048, 51828, 50330, 51358, 54594, 56202, 50906, 61936, 52329, 50906, 61936, 52359, 50906, 70459, 54930, 50871, 55700, 50906, 61936, 71027, 51798, 50906, 61936, 50809, 51405, 51923, 50906, 70459, 51828, 50333, 50807, 56178, 50865, 55902, 64122, 71027, 51631, 50861, 64122, 50809, 51405, 51736, 50861, 61178, 51828, 50333, 52424, 50956, 55700, 50861, 64122, 71027, 51798, 50861, 64122, 50809, 51405, 51923, 50861, 61178, 51828, 50333, 50918, 54206, 50865, 55961, 64122, 52329, 50871, 64122, 52359, 50871, 61178, 51828, 50338, 51358, 57267, 55700, 50906, 61936, 52555, 50906, 61936, 52485, 50906, 61936, 50809, 55524, 72400, 51487, 56202, 51814, 51631, 50956, 57543, 50807, 52052, 54725, 51487, 51048, 55898, 61336, 56027, 51146, 67523, 51487, 51291, 56178, 55890, 52910, 50871, 57543, 53182, 52128, 52262, 51487, 51724, 50861, 72400, 51339, 51036, 60027, 72778, 55694, 56831, 52910, 50876, 63161, 52424, 50902, 59351, 52728, 51001, 61241, 50807, 55435, 73027, 51091, 51062, 51091, 55961, 50865, 53337, 54725, 50871, 70459, 51091, 51081, 51091, 62335, 55700, 50871, 55178, 50899, 70459, 51048, 50931, 67523, 50871, 50865, 55435, 71389, 51091, 51146, 51091, 55902, 54919, 50956, 54725, 50861, 73027, 51091, 51062, 51091, 62335, 55700, 50861, 55178, 50956, 71389, 51828, 50330, 55037, 50861, 71676, 51828, 50331, 50865, 54206, 51828, 50325, 51358, 51339, 51358, 57340, 50865, 53645, 54725, 50877, 54930, 51040, 51828, 50326, 65455, 50906, 55178, 50871, 51828, 50328, 51828, 50337, 55037, 50906, 51828, 50329, 51828, 50338, 50865, 53975, 51828, 50326, 51358, 51339, 51358, 55902, 54919, 50956, 54725, 50861, 54930, 50871, 55700, 50876, 55178, 50877, 51828, 50325, 51048, 51405, 67523, 50876, 50865, 54955, 51828, 50326, 51091, 51146, 51091, 54569, 54919, 50997, 54725, 50899, 51828, 50330, 51091, 51487, 51091, 55203, 55700, 50861, 55178, 50956, 51828, 50326, 51048, 51146, 67523, 50861, 50865, 53975, 51828, 50325, 51828, 50328, 50865, 55902, 71676, 51291, 51081, 51291, 56040, 54725, 50861, 54930, 51050, 55700, 50956, 55178, 50900, 71676, 51492, 51081, 51492, 50456, 50956, 50865, 56178, 61336, 50918, 55898, 57055, 52728, 50900, 60821, 50807, 58106, 50997, 51036, 50899, 51036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 4688, 5175, 2214, 19, 10, 182, 1769, 20889, 6, 4246, 10, 486, 118, 9877, 483, 6, 38668, 483, 6, 8, 13305, 4, 20, 6711, 16, 15352, 30054, 6, 20425, 6, 8, 7630, 36041, 9, 10, 177, 19834, 4, 8504, 11, 5, 762, 9, 381, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 33215, 16739, 9, 272, 6, 211, 6, 1918, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50799, 53441, 66087, 57422, 50916, 57422, 50877, 57422, 50420, 53441, 51620, 53441, 52559, 53441, 54773, 53441, 54811, 53441, 51757, 53441, 52643, 53441, 50800, 50799, 53441, 52734, 53441, 53950, 53441, 53974, 53441, 54773, 53441, 54811, 53441, 54721, 53441, 54353, 53441, 50859, 50799, 53441, 51835, 53378, 53950, 53931, 51628, 53378, 54773, 54256, 51820, 54495, 51757, 53931, 51754, 53378, 50800, 50799, 53441, 51835, 53378, 53950, 53931, 51628, 53378, 52599, 54025, 54811, 53378, 51757, 56845, 51754, 53378, 50800, 50799, 53747, 51566, 51296, 50821, 53441, 52423, 50817, 53737, 50940, 52331, 66087, 57422, 50916, 57422, 50877, 57422, 50420, 51296, 50821, 53378, 50859, 53737, 50921, 52331, 56667, 51296, 50858, 53931, 51907, 51031, 53737, 50921, 52331, 52686, 53747, 51500, 51296, 50821, 53378, 50800, 53737, 50921, 52331, 59266, 51296, 50859, 54256, 53841, 50817, 53737, 50830, 52331, 55489, 51296, 50882, 54495, 50800, 53737, 51033, 52331, 56604, 77889, 57686, 53931, 51907, 51031, 53737, 50910, 52331, 54166, 53930, 50830, 51296, 50882, 53378, 50800, 53737, 50921, 52331, 50930, 50799, 53747, 51290, 57686, 53441, 52423, 50817, 53737, 50830, 52331, 52628, 51296, 50859, 53378, 50800, 53737, 50921, 52331, 54392, 54737, 53931, 54047, 50817, 53737, 50897, 52331, 51628, 53747, 51160, 51296, 50821, 53378, 50808, 53737, 50921, 52331, 54459, 57686, 54025, 53841, 50817, 53737, 50952, 52331, 51820, 51296, 50859, 53378, 50859, 53737, 50940, 52331, 54755, 53631, 51030, 54737, 56845, 51907, 50817, 53737, 50910, 52331, 51754, 53930, 51158, 51296, 50821, 53378, 50859, 53737, 50940, 52331, 50887, 50799, 53747, 51566, 51296, 50859, 53441, 52423, 51031, 53737, 50940, 52331, 52734, 51296, 50821, 53378, 50859, 53737, 50952, 52331, 53939, 54737, 53931, 54047, 50817, 53737, 50910, 52331, 51628, 53747, 51500, 51296, 50859, 53378, 50800, 53737, 50921, 52331, 55395, 57686, 54256, 53841, 50817, 53737, 50952, 52331, 52510, 51296, 50882, 54495, 50808, 53737, 51014, 52331, 54411, 77889, 51296, 50858, 53931, 54047, 51031, 53737, 50940, 52331, 55433, 53930, 50830, 51296, 50821, 53378, 50800, 53737, 50940, 52331, 50880, 50799, 53747, 51073, 51296, 50858, 53441, 53841, 50817, 53737, 50921, 52331, 54658, 57686, 53378, 50808, 53737, 50940, 52331, 52329, 51296, 50858, 53931, 52764, 50817, 53737, 50830, 52331, 54937, 53747, 51235, 51296, 50821, 53378, 50859, 53737, 50921, 52331, 55395, 51296, 50821, 54025, 52218, 51031, 53737, 50921, 52331, 55489, 51296, 50858, 53378, 50859, 53737, 50921, 52331, 54411, 53631, 51030, 57686, 56845, 51907, 50817, 53737, 50952, 52331, 54353, 53930, 51173, 51296, 50858, 53378, 50808, 53737, 50940, 52331, 50821, 71568, 51158, 66008, 54256, 52218, 50817, 52468, 50830, 51482, 63891, 57422, 50989, 57422, 50877, 57422, 50420, 51155, 50821, 52468, 50940, 51482, 54149, 53133, 50795, 66008, 54256, 51907, 50949, 52468, 50830, 51482, 53974, 51155, 50821, 52468, 51033, 51482, 56341, 53133, 51158, 66008, 54256, 53841, 50817, 52468, 50830, 51482, 55489, 51155, 50858, 52468, 50940, 51482, 68168, 54256, 52741, 53133, 50893, 51155, 52764, 51031, 52468, 50910, 51482, 52955, 66008, 52468, 50830, 51482, 50809, 71568, 50806, 51155, 50833, 54256, 52218, 50817, 52468, 50897, 51482, 54878, 51155, 50859, 52468, 50952, 51482, 54392, 53133, 51173, 51155, 50812, 54256, 52764, 50817, 52468, 50897, 51482, 53695, 51155, 50859, 52468, 50940, 51482, 52444, 53133, 50795, 51155, 50858, 54256, 52218, 51031, 52468, 50830, 51482, 55489, 51155, 50858, 52468, 50830, 51482, 51757, 53133, 51192, 51155, 50812, 54256, 54047, 51031, 52468, 50830, 51482, 51754, 51155, 50882, 52468, 50921, 51482, 50821, 60652, 50858, 53737, 50830, 52331, 66087, 57422, 50916, 57422, 50877, 57422, 50420, 51296, 50950, 53737, 51014, 52331, 57480, 51296, 52423, 50817, 53737, 50830, 52331, 53695, 51296, 50858, 53737, 50952, 52331, 54957, 57686, 53737, 50830, 52331, 51820, 57686, 53737, 50830, 52331, 52555, 51296, 53097, 51759, 50825, 53737, 50910, 52331, 53875, 54737, 53737, 50910, 52331, 50809, 60652, 51049, 52611, 53737, 50940, 52331, 55777, 57686, 53737, 50830, 52331, 52329, 51296, 52218, 51031, 53737, 50910, 52331, 52359, 51296, 50858, 53737, 50940, 52331, 54957, 54737, 53737, 50910, 52331, 52510, 57686, 53737, 50830, 52331, 52741, 51296, 53841, 51759, 50825, 53737, 50952, 52331, 54663, 51296, 50859, 53737, 50910, 52331, 50808, 50799, 57179, 51138, 51296, 51049, 52611, 53737, 50940, 52331, 72528, 57422, 50916, 57422, 50877, 57422, 50420, 53517, 51045, 57686, 53737, 50910, 52331, 53425, 54040, 51014, 51296, 52423, 50817, 53737, 50910, 52331, 59099, 53698, 51033, 51296, 50859, 53737, 50940, 52331, 54773, 51296, 50858, 53737, 50940, 52331, 55900, 54040, 57816, 54737, 53737, 50830, 52331, 51757, 51296, 53287, 51759, 50835, 53737, 50940, 52331, 54418, 51296, 50858, 53737, 50952, 52331, 50858, 60652, 51508, 52611, 53737, 50940, 52331, 54718, 51296, 50812, 53737, 50910, 52331, 52710, 54040, 51045, 51296, 53841, 50817, 53737, 50940, 52331, 51628, 53698, 51045, 51296, 50812, 53737, 50897, 52331, 51724, 51296, 50821, 53737, 50940, 52331, 66972, 54040, 51483, 50444, 51296, 50812, 53737, 50925, 52331, 55620, 51296, 53287, 51759, 50825, 53737, 50921, 52331, 54353, 53921, 52468, 50897, 51482, 62516, 53517, 50882, 63203, 52189, 52445, 52468, 50830, 51482, 72368, 53700, 50989, 53700, 50877, 53700, 50415, 57641, 68360, 53921, 52468, 50830, 51482, 65992, 53517, 54631, 54040, 51045, 51155, 53287, 50817, 52468, 50952, 51482, 54154, 53698, 50940, 51155, 50833, 52468, 50942, 51482, 54181, 54040, 51505, 51155, 50858, 52468, 50952, 51482, 54651, 51155, 50833, 52468, 50897, 51482, 53639, 51155, 53841, 51759, 50825, 52468, 50940, 51482, 58133, 51063, 50821, 51211, 51095, 51854, 51175, 51622, 51354, 51830, 50940, 51368, 50858, 64440, 52189, 52611, 51830, 50830, 51368, 50858, 51086, 53700, 50899, 53700, 50861, 53700, 50420, 51063, 50854, 51830, 50897, 51368, 53049, 54040, 50950, 51063, 53530, 50817, 51830, 50897, 51368, 52749, 54040, 50940, 53713, 51830, 50897, 51368, 53219, 53698, 51388, 51063, 50833, 51830, 50925, 51368, 54207, 67112, 51830, 50830, 51368, 51757, 51063, 54312, 51759, 50837, 51830, 50942, 51368, 53920, 57179, 50950, 51155, 50833, 52468, 50942, 51482, 50812, 60652, 52153, 52445, 53737, 50940, 52331, 66087, 57422, 50916, 57422, 50877, 57422, 50415, 57179, 72207, 51296, 50812, 53737, 50910, 52331, 64729, 53517, 54631, 51296, 52218, 51031, 53737, 50952, 52331, 50910, 50427, 54040, 65846, 51296, 50859, 53737, 50830, 52331, 68484, 53698, 56360, 57686, 53737, 50952, 52331, 66972, 54040, 51388, 50444, 54737, 53737, 50952, 52331, 52741, 51296, 53841, 51759, 50837, 53737, 50952, 52331, 51754, 51296, 50858, 53737, 50830, 52331, 50800, 60652, 52189, 52445, 53737, 50940, 52331, 54681, 51296, 50812, 53737, 50830, 52331, 65992, 53517, 54631, 54040, 50936, 51296, 52218, 51031, 53737, 50952, 52331, 54154, 54737, 53737, 50897, 52331, 57659, 53698, 53402, 54040, 51653, 51296, 50821, 53737, 50940, 52331, 54651, 54737, 53737, 50897, 52331, 55620, 53517, 51460, 51296, 53558, 51759, 50825, 53737, 51033, 52331, 54353, 51155, 50833, 52468, 50925, 51482, 50833, 50799, 57641, 50921, 51155, 51049, 52611, 52468, 50830, 51482, 72368, 53700, 50989 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 272, 538, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 23338, 33518, 1264, 6, 8, 21072, 6, 20307, 149, 10, 13931, 9, 1918, 406, 6, 211, 406, 6, 83, 406, 6, 211, 406, 6, 8, 272, 40286, 23, 41, 1614, 1073, 1020, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 6, 10686, 13, 10, 1144, 26016, 822, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 51251, 77105, 50824, 51165, 50824, 51182, 59889, 51629, 56733, 51182, 53537, 51699, 50824, 51375, 50824, 51165, 50824, 51201, 50993, 50434, 51395, 53925, 51299, 50824, 51088, 50824, 51093, 50823, 51395, 59650, 51107, 50823, 51201, 63999, 51093, 50823, 51395, 52116, 51426, 50824, 51165, 50824, 51107, 77567, 51093, 50860, 50799, 52371, 51009, 51299, 51009, 51154, 51009, 51113, 50860, 51113, 51009, 50418, 51165, 58026, 51093, 53537, 51395, 53663, 51699, 51009, 51154, 51009, 51357, 51009, 51107, 50823, 51107, 51009, 50442, 51394, 56695, 51629, 50823, 51558, 52568, 51182, 51072, 50799, 52143, 51009, 51699, 51009, 51426, 51009, 51088, 59889, 51395, 56733, 51107, 53537, 51357, 58656, 51093, 55996, 51629, 53925, 51699, 50823, 51357, 51009, 51201, 51009, 51182, 51009, 50442, 51301, 56695, 51251, 53798, 51794, 60111, 51251, 56250, 51088, 50823, 50799, 51887, 51009, 51299, 51009, 51375, 51009, 51093, 59889, 51629, 56733, 51182, 53537, 51201, 58656, 51266, 55996, 51182, 53925, 52316, 50823, 51093, 51009, 51201, 51009, 50442, 51375, 56695, 51088, 53798, 51154, 60111, 51299, 54178, 50624, 50458, 52316, 50823, 78936, 50824, 51638, 50824, 51301, 50824, 51093, 59889, 51488, 56733, 51093, 53537, 52143, 50824, 51794, 50824, 51301, 50824, 51165, 73637, 51375, 53925, 51887, 50824, 51299, 77105, 50823, 51375, 59650, 51088, 50823, 51165, 56695, 80156, 51375, 54554, 52316, 50824, 51299, 50824, 51088, 50976, 50454, 50623, 50455, 50623, 50456, 50623, 50458, 50623, 51154, 57239, 50623, 50460, 50623, 50461, 50623, 50799, 52143, 51184, 51638, 50975, 51299, 50823, 51301, 66305, 50622, 50416, 50622, 50417, 50622, 50418, 51301, 50823, 51088, 68159, 50622, 50420, 50622, 50421, 50622, 50422, 50622, 52316, 50823, 51491, 50823, 51113, 53537, 51699, 51352, 51301, 51352, 51165, 51352, 50450, 50624, 50458, 50623, 50459, 50623, 50460, 50623, 50461, 50622, 61791, 52371, 50824, 51299, 77105, 66305, 50622, 50416, 50622, 50418, 51088, 56733, 51113, 53537, 50624, 52776, 51352, 51251, 51352, 51154, 51352, 51357, 51352, 56103, 50916, 51009, 50968, 51009, 51430, 51009, 52143, 51352, 51299, 51009, 51301, 51009, 51332, 65259, 57520, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 51699, 51352, 50885, 59568, 59583, 51383, 51242, 50913, 52030, 50964, 51670, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 51301, 51029, 51088, 51029, 51332, 65259, 57520, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 79565, 59583, 51383, 59598, 50802, 53615, 54098, 51001, 50802, 51405, 50802, 53919, 50802, 51357, 67798, 76957, 77377, 50802, 57289, 51184, 51430, 51184, 55226, 51184, 52143, 68308, 51184, 51266, 51184, 51332, 65259, 57520, 51059, 51383, 50978, 50913, 52410, 51699, 76957, 54608, 60449, 51383, 63339, 51170, 53803, 51883, 56471, 59568, 59583, 51383, 51242, 50913, 52030, 52065, 71758, 52220, 55364, 51242, 50920, 52125, 51251, 50802, 51332, 65259, 61846, 51059, 51383, 59598, 52313, 51299, 76957, 51242, 50920, 52175, 52065, 56471, 59568, 59583, 51383, 59598, 50802, 53615, 54098, 51883, 76957, 77377, 50802, 57844, 50976, 51220, 50976, 53117, 50976, 52143, 51009, 51699, 51009, 51301, 51009, 51357, 50975, 51332, 65259, 57520, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 50902, 50975, 51146, 50975, 52912, 50975, 51107, 50975, 51383, 63339, 51170, 53803, 50885, 59568, 59583, 51383, 51242, 50913, 71692, 67595, 51062, 50975, 52357, 50975, 51093, 59959, 50964, 52466, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 52830, 50824, 51299, 51009, 51088, 51029, 51332, 65259, 56681, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52481, 79565, 59583, 51383, 59598, 50802, 53615, 54098, 50989, 71804, 50802, 51787, 50802, 51491, 76957, 77377, 50802, 54578, 51795, 50931, 51795, 51339, 51795, 52371, 51029, 52065, 51184, 51154, 51184, 50988, 62455, 57044, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 50848, 59583, 64191, 51383, 51242, 50913, 52030, 51883, 60011, 51670, 55364, 51242, 50920, 52125, 51699, 67507, 62455, 57044, 50823, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 58173, 59583, 64191, 51383, 59598, 50802, 53615, 54098, 51170, 77377, 50802, 54578, 51009, 50931, 51009, 51339, 51009, 52371, 51352, 51299, 51184, 51154, 51009, 51154, 51184, 51171, 68342, 57044, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 51883, 51352, 50848, 58602, 58051, 51383, 51242, 50913, 52030, 50927, 51520, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 51088, 51029, 51171, 68342, 61846, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52371, 58173, 58602, 58051, 51383, 59598, 50802, 53615, 54098, 50877, 63378, 50802, 51814, 69379, 76957, 77377, 50802, 57844, 51352, 51220, 51352, 53117, 51352, 52776, 67028, 51184, 51154, 51184, 51357, 51184, 50988, 62455, 57044, 51059, 51383, 50978, 50913, 52410, 52371, 76957, 54608, 60449, 51383, 63339, 51170, 53803, 51699, 56304, 59583, 64191, 51383, 51242, 50913, 52030, 51883, 60011, 51520, 55364, 51242, 50920, 52125, 52065, 61265, 62455, 57520, 51059, 51383, 59598, 52313, 51883, 76957, 51242, 50920, 52175, 51699, 58173, 59583, 64191, 51383, 59598, 50802, 53615, 54098, 51170, 77377, 50802, 54852, 50976, 50999, 50976, 51814, 50976, 52371, 51009, 51883, 51009, 51299, 51009, 51113, 50975, 51171, 68342, 57520, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 76513, 50951, 50976, 51487, 50976, 51088, 50975, 51383, 63339, 51170, 53803, 50848, 58602, 58051, 51383, 51242, 50913, 71692, 50989, 50976, 51114, 50976, 51787, 50976, 51491, 59959, 50927, 52466, 55364, 51242, 50920, 52125, 50871, 51029, 50931, 51029, 51339, 51029, 51699, 50824, 52065, 51029, 51154, 51029, 51088, 51029, 50988, 62455, 57520, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 58173, 59583, 64191, 51383, 59598, 50802, 53615, 54098, 50931, 77277, 50802, 52956, 69379, 50802, 51357, 70287, 60011, 69425, 77377, 50802, 57289, 51184, 51430, 51184, 55226, 51184, 52143, 51029, 51088, 51184, 51093, 51184, 51266, 51184, 51332, 65259, 57044, 50824, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 50868, 59583, 68574, 51383, 51242, 50913, 52030, 51883, 71758, 51670, 55364, 51242, 50920, 52125, 51699, 50824, 51332, 65259, 61846, 50823, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 59568, 59583, 68574, 51383, 59598, 50802, 53615, 54098, 51170, 77377, 50802, 55524, 51009, 50968, 51009, 51430, 51009, 52143, 51352, 51299, 51009, 51301, 51009, 51332, 65259, 57520, 59739, 51184, 51383, 50978, 50913, 52410, 51170, 54608, 60449, 51383, 63339, 51170, 53803, 51699, 51352, 50868, 59583, 68574, 51383, 51242, 50913, 52030, 50964, 51670, 55364, 51242, 50920, 52125, 50861, 51029, 50951, 51029, 51487, 51029, 51301, 51029, 51088, 51029, 51332, 65259, 61846, 51059, 51383, 59598, 52313, 51170, 51242, 50920, 52175, 52776, 59568, 59583, 68574, 51383, 59598, 50802, 53615, 54098, 51001, 52035, 50331, 52035, 50343, 50860, 51357, 67798, 76957, 77377, 50802, 57289, 51795, 51430, 51795, 55226, 51795, 52143, 68308, 51184, 51266, 51184, 51332, 65259, 57520, 51059, 51383, 50978, 50913 ]

[ 0, 250, 15352, 30054, 5175, 8, 15855, 1619, 2214, 4246, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 38668, 9590, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 16, 11, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 272, 119, 6, 12608, 6, 8, 274, 406, 6, 2351, 10, 19448, 8, 2829, 2933, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 56020, 51224, 50893, 50428, 51326, 51054, 50440, 51533, 51036, 52257, 50981, 51563, 51183, 51426, 51293, 52650, 55530, 51551, 50856, 51108, 51769, 51080, 55264, 51293, 50453, 52603, 50981, 54969, 62211, 50932, 52177, 54050, 50981, 52866, 51127, 54757, 70946, 50932, 50430, 52603, 50981, 54969, 70946, 51097, 50442, 54258, 50981, 53019, 51103, 53267, 51148, 50856, 50995, 50454, 51727, 50889, 52603, 50915, 51426, 56777, 79089, 50981, 55264, 50905, 53069, 51533, 51036, 53876, 50981, 53729, 51127, 51426, 51293, 52566, 57787, 51551, 50856, 51108, 51769, 51080, 55264, 51293, 50431, 52603, 50915, 54969, 70946, 56350, 54258, 50915, 53019, 51103, 53267, 66560, 56109, 52603, 50981, 54969, 70946, 51097, 52591, 54050, 50981, 52866, 51047, 54757, 70946, 50995, 50433, 51727, 50889, 52603, 50995, 79538, 54969, 57787, 79089, 50981, 55264, 75029, 51533, 51036, 52257, 50981, 51563, 51183, 51426, 51293, 52650, 55530, 51551, 50856, 51108, 51769, 51080, 53159, 51313, 50458, 52603, 50981, 54969, 62211, 50932, 56020, 54050, 50981, 52866, 51127, 54757, 70946, 50932, 50434, 52603, 50981, 54969, 70946, 51097, 50447, 54258, 50981, 53019, 51103, 74973, 53267, 51148, 50856, 50995, 54971, 51148, 50459, 51727, 50889, 52603, 55530, 79089, 50981, 60212, 51533, 51036, 53876, 50981, 53729, 51127, 52626, 51047, 51375, 51148, 51629, 51148, 52566, 57787, 51551, 50856, 51108, 51769, 51080, 53485, 51047, 50436, 52603, 50915, 54969, 70946, 50932, 50448, 54258, 50915, 53019, 51103, 52735, 51047, 74973, 51182, 51047, 53267, 66560, 50932, 54971, 51047, 50461, 52603, 50981, 54969, 70946, 51097, 59412, 54050, 50981, 52866, 51047, 52626, 51047, 51154, 51145, 51201, 51145, 54757, 70946, 50995, 53485, 51047, 57124, 50889, 52603, 50995, 54969, 57787, 79089, 57105, 51338, 52045, 51434, 51047, 61533, 58641, 51551, 50856, 51108, 51769, 51080, 51601, 59907, 64835, 50932, 50427, 51515, 51145, 61106, 69238, 50932, 50440, 50689, 50331, 69238, 51097, 50452, 52027, 51145, 78094, 64835, 50995, 51809, 50689, 50335, 69238, 50981, 50429, 51602, 50918, 51929, 51148, 52866, 51183, 50689, 50336, 66006, 51551, 50856, 51108, 51769, 51080, 71075, 50932, 50454, 51137, 51077, 51434, 51047, 51563, 51127, 50856, 50932, 52478, 50856, 51097, 50430, 51132, 50918, 51515, 51148, 51438, 51183, 54339, 51145, 51299, 51145, 51093, 51145, 50856, 50995, 58083, 51145, 50443, 51769, 50981, 50455, 51533, 51036, 52027, 50981, 54307, 52644, 51426, 53413, 51395, 53413, 50689, 50335, 55998, 51551, 50843, 51097, 55253, 52644, 50461, 78094, 50901, 52591, 52557, 50995, 50689, 50331, 59689, 60324, 59907, 53387, 52027, 50915, 78094, 53946, 51356, 50843, 54498, 55228, 51174, 55039, 51074, 50689, 50331, 61772, 56265, 51210, 50442, 53715, 54682, 51434, 50981, 53472, 50912, 59907, 59689, 51097, 50445, 53748, 62407, 53118, 55854, 52650, 70635, 52890, 70936, 53267, 54823, 52566, 51142, 50451, 52697, 51142, 61533, 70842, 54254, 51330, 50457, 52027, 50915, 50689, 50331, 53946, 51356, 50843, 51097, 51601, 59907, 50873, 50416, 55228, 50851, 55039, 51051, 50418, 56265, 51862, 50419, 53715, 51210, 50421, 51727, 50889, 52557, 50981, 53472, 50907, 61533, 55732, 51090, 50843, 50981, 50422, 53748, 56779, 53118, 77744, 52650, 68014, 52890, 53220, 53267, 69118, 52566, 50851, 50428, 52697, 51142, 58103, 62554, 53260, 51254, 50431, 53000, 51333, 50434, 51533, 52045, 51434, 50915, 53039, 52147, 61533, 64391, 51551, 50843, 51097, 50446, 52027, 50981, 50843, 51097, 50458, 51434, 51148, 57545, 55106, 51356, 50843, 50932, 50460, 55372, 50867, 51601, 58143, 57780, 53647, 63315, 54428, 65643, 53039, 55754, 53016, 50943, 53000, 55716, 51097, 50425, 54254, 64644, 52566, 55863, 53267, 62627, 52650, 65312, 53118, 56579, 53016, 50943, 52027, 58799, 51356, 50843, 51097, 50448, 53016, 50873, 51434, 57787, 51090, 50843, 50981, 50454, 52527, 50845, 50460, 51992, 51518, 51533, 51036, 51773, 50813, 51549, 50981, 51426, 53413, 50798, 51551, 50843, 51097, 55253, 53082, 50799, 52603, 76328, 51773, 53082, 52603, 53082, 52257, 53082, 50424, 64387, 50843, 51097, 50437, 51064, 58799, 51356, 50843, 50932, 50449, 51850, 50943, 51549, 50981, 50843, 51097, 50799, 51850, 51003, 51563, 58799, 51356, 50843, 60324, 51992, 50873, 51533, 50889, 51549, 57787, 51090, 50843, 57547, 52527, 71919, 52527, 51692, 51416, 51036, 51607, 51313, 52603, 51313, 52257, 51293, 71664, 51299, 50995, 53715, 60881, 51551, 50843, 51097, 53485, 51003, 50451, 50929, 50981, 51699, 50995, 50843, 51097, 53159, 50995, 51809, 76084, 51299, 57604, 51356, 50843, 50932, 53485, 50981, 50428, 52527, 51003, 51549, 50981, 51251, 50981, 50843, 51097, 53865, 50981, 50434, 55228, 50892, 50440, 52527, 50914, 52257, 50845, 51563, 50915, 51426, 50995, 53715, 57604, 51356, 50843, 51097, 58083, 50995, 50446, 52603, 65371, 52527, 50901, 51416, 50889, 51607, 50845, 51549, 50981, 51088, 50981, 53715, 57787, 51090, 50843, 50981, 55253, 50981, 50459, 51756, 50845, 51434, 50905, 52177, 51756, 51518, 51602, 51036, 51929, 51293, 51607, 51151, 52603, 51293, 51032, 50981, 52340, 52644, 52316, 53082, 51093, 52644, 50798, 51551, 50843, 51097, 58083, 52644, 50430, 51169, 68753, 51097, 50442, 51032, 58799, 51356, 50843, 50932, 50454, 52527, 51003, 51549, 68753, 51097, 53069, 52527, 51003, 52866, 57604, 51356, 50843, 51097, 50431, 51756, 50873, 51602, 50889, 52603, 50915, 51549, 61011, 51090, 50843, 50981, 50437, 52280, 55322, 51850, 51692, 51727, 51036, 51773, 51293, 51669, 51293, 52327, 51313, 54050, 51151, 51064, 50995, 52036, 52644, 51638, 53413, 51107, 52644, 56265, 52923, 51551, 50843, 51097, 56078, 52644, 50446, 53715, 64598, 53472, 54208, 54969, 66056, 53118, 65556, 52650, 53211, 74376, 54757, 55716, 51097, 50458, 53267, 63298, 52566, 50867, 50799, 52697, 76328, 54254, 64685, 53000, 54657, 51064, 50995, 53039, 54597, 51356, 50843, 50932, 50422, 54740, 63339, 54428, 63829, 53647, 58594, 54723, 62627, 58143, 65312, 53016, 51003, 51067, 50981, 55372, 53800, 51097, 50435, 57545, 59701, 66628, 62293, 63951, 56714, 59886, 62801, 72466, 62120, 53016, 51003, 52327, 50981, 52866, 50915, 50697, 50343, 53352, 51356, 50843, 51097, 50447, 74416, 60062, 50697, 50347, 61081, 50697, 50348, 61192, 50697, 50350, 54583, 50697, 50352, 62616, 53016, 50901, 51727, 50889, 54050, 50981, 51438, 50981, 50697, 50354, 52411, 51090, 50843, 50981, 50460, 50697, 50355, 50813, 50799, 50697, 50357, 68743, 52527, 50873, 50422, 51992, 51183, 51533, 51036, 51773, 51313, 52603, 51313, 52257, 51313, 51549, 50981, 52137, 51518, 51182, 51518, 51426, 68835, 51551, 50843, 51097, 55253, 51293, 50434, 64387, 50843, 51097, 50447, 51064, 58799, 51356, 50843, 50932, 50459, 51850, 50914, 51549, 50981, 53188, 51003, 51629, 78570, 51097, 60212, 51850, 50915, 51137, 50889, 51773, 50981, 52603, 50981, 51563, 50995, 52137, 51003, 51182, 51003, 74973, 50804, 51356, 50843, 51097, 63482, 51145, 50436, 51992, 50901, 51137, 50889, 52603, 50915, 52257, 50995, 51549, 50981, 52036, 51003, 51201, 58955, 51090, 50843, 50981, 50442, 52527, 50849, 50448, 52527, 51127, 51338, 51036, 51607, 52644, 52603, 53082, 52257, 53082, 71664, 52340, 53454, 51299, 52644, 51395, 53454, 50798, 51551, 50843, 51097, 55253, 53082, 50461, 50929, 50981, 50843, 51097, 59412, 51032, 56951, 51356, 50843, 50932 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 41, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 8, 18558, 6, 2351, 10, 11739, 9, 1619, 8, 19448, 6711, 29, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50791, 50883, 51544, 50883, 51570, 50883, 52320, 50883, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 69707, 53336, 52562, 51172, 50986, 52580, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 52788, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 61578, 53675, 52562, 68500, 51846, 54225, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50799, 58999, 79886, 53336, 52562, 69029, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 73143, 58999, 79886, 53675, 52562, 51172, 51136, 52989, 51246, 51172, 51136, 50838, 51169, 53284, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 51169, 53284, 53336, 52562, 51172, 67395, 71546, 51169, 52580, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 52788, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 79886, 53675, 52562, 68500, 51846, 54225, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 79886, 53336, 52562, 69029, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 54498, 58999, 79886, 53675, 52562, 68500, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 69707, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 51381, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 51172, 51136, 54225, 61576, 51910, 53886, 51246, 51172, 51136, 50838, 77217, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 77217, 51602, 51189, 51897, 53336, 52562, 51172, 67395, 71546, 51169, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 50932, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 69707, 61576, 51910, 53886, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 51172, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 51381, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 51172, 51136, 54225, 61576, 51910, 53886, 51246, 51172, 51136, 50838, 77217, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 77217, 51602, 51189, 51897, 53336, 52562, 51172, 67395, 71546, 51169, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 50932, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 69707, 61576, 51910, 53886, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 51172, 51416, 53497, 51041, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 53888, 68493, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 56561, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 51283, 51136, 50932, 51169, 51381, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 51172, 51136, 54225, 61576, 51910, 53886, 51246, 51172, 51136, 50838, 77217, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 51246, 50827, 51136, 50838, 77217, 51602, 51189, 51897, 53336, 52562, 51172, 67395, 71546, 51169, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169, 51627, 50791, 50883, 50799, 58999, 51381, 50986, 51381, 51136, 51381, 51169, 51381, 51897, 53336, 52562, 69707, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 51246, 50932, 51136, 50932, 51169, 50932, 51897, 53294, 58999, 51381, 54074, 53675, 52562, 69707, 61576, 51910, 53886, 51846, 50827, 51246, 51172, 51136, 51172, 51169, 51172, 51416, 51420, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 51132, 52808, 50883, 50799, 58999, 51381, 77222, 51136, 51172, 51169, 51172, 51602, 51189, 51897, 53336, 52562, 51172, 50986, 54225, 53087, 51846, 54225, 52975, 58999, 50827, 52562, 50827, 51846, 50827, 67395, 71546, 51169, 50827, 52585, 72072, 53294, 58999, 51381, 50986, 50932, 51136, 50932, 51169, 50932, 52584, 53497, 51041, 53675, 52562, 69707, 53711, 51846, 50827, 52585, 51894, 50791, 53563, 58999, 50827, 52562, 50827, 51846, 50827, 50986, 51627, 51136, 51627, 51169 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 211, 538, 6, 7630, 14805, 10, 1186, 9, 8597, 31, 2933, 8, 11051, 19519, 7, 20425, 8, 25306, 6, 19, 10, 33215, 16739, 14, 1171, 211, 6, 274, 10431, 6, 163, 406, 6, 8, 163, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50433, 50902, 51233, 50902, 51233, 50441, 51114, 51101, 51114, 51101, 50447, 51214, 51194, 51214, 51194, 50951, 51562, 50951, 51562, 50454, 51120, 50813, 51120, 57867, 51086, 51480, 51086, 51480, 52478, 51114, 51178, 51114, 75262, 50968, 51212, 50968, 51212, 50433, 50902, 60379, 54137, 51324, 51642, 51324, 51642, 50439, 50973, 51965, 50973, 51965, 50445, 51026, 50835, 51026, 67099, 50899, 73790, 51108, 52478, 50877, 56943, 50838, 50424, 50973, 51101, 50973, 51101, 50430, 51085, 51233, 51085, 51233, 50431, 50876, 51397, 50876, 51397, 50437, 51026, 51537, 50299, 54305, 50916, 51484, 50916, 51484, 50451, 50973, 51212, 50973, 51212, 50458, 50877, 59023, 50905, 52177, 50861, 58127, 61544, 51279, 51337, 51279, 51337, 50424, 50916, 51775, 50916, 51775, 50430, 51315, 51609, 50296, 63136, 50900, 51637, 50900, 51637, 50437, 50916, 72272, 59783, 59783, 58843, 50916, 51242, 50916, 51242, 51809, 51214, 51212, 51214, 51212, 50899, 67119, 50995, 50422, 51120, 51689, 50294, 58511, 51086, 51419, 51086, 51419, 50861, 51351, 50861, 51351, 50442, 50973, 51101, 50973, 51101, 51378, 51741, 50298, 50981, 50454, 51315, 51178, 51315, 51178, 50455, 50902, 64424, 50914, 50461, 51086, 51177, 51086, 51177, 53069, 50916, 68184, 71946, 73024, 57421, 51220, 51025, 51220, 51025, 50443, 51085, 51177, 51085, 67367, 51220, 51218, 51220, 51218, 50449, 51026, 77184, 53211, 50916, 72272, 72272, 50995, 59733, 51101, 51062, 51101, 51062, 77769, 51220, 51419, 51220, 51419, 51220, 51419, 50432, 50999, 51047, 50433, 51120, 51644, 50294, 51644, 50294, 51644, 50325, 51047, 50999, 60610, 51027, 51537, 50301, 51537, 50301, 60812, 50861, 71395, 71395, 75138, 51753, 50900, 51753, 50900, 51753, 50447, 50861, 71395, 75138, 51753, 50900, 51753, 50461, 50989, 51142, 50989, 51142, 50989, 51142, 50989, 51142, 50989, 51142, 50902, 51242, 50902, 51242, 50902, 51242, 50902, 51242, 50902, 51242, 53975, 62850, 57846, 57846, 57846, 50420, 51114, 51242, 51114, 51242, 51114, 51242, 51114, 51242, 51114, 51242, 50427, 51214, 51423, 51214, 51423, 51214, 51423, 51214, 51423, 51214, 51423, 50428, 50951, 51542, 50951, 51542, 50951, 51542, 50951, 51542, 50951, 51542, 50434, 51120, 50810, 51120, 50810, 51120, 50810, 51120, 50810, 51120, 56532, 51086, 51534, 51086, 51534, 51086, 51534, 51086, 51534, 51086, 51534, 50447, 51114, 51194, 51114, 51194, 51114, 51194, 51114, 51194, 51114, 51194, 50454, 50968, 51177, 50968, 51177, 50968, 51177, 50968, 51177, 50968, 51177, 50461, 50902, 59086, 59086, 59086, 59086, 50857, 52591, 51120, 51043, 51120, 51043, 51120, 51043, 51120, 51043, 51120, 75738, 68026, 68026, 68026, 68026, 75656, 51148, 78872, 78872, 78872, 78872, 50973, 51244, 50973, 51244, 50973, 51244, 50973, 51244, 50973, 51244, 50427, 51027, 51212, 51027, 51212, 51027, 51212, 51027, 51212, 51027, 51212, 69374, 51481, 50900, 51481, 50900, 51481, 50900, 51481, 50900, 51481, 50441, 50899, 62963, 62963, 62963, 62963, 54185, 51214, 52482, 51214, 52482, 51214, 52482, 51214, 52482, 51214, 52482, 50451, 50989, 51252, 50989, 51252, 50989, 51252, 50989, 51252, 50989, 51252, 50877, 55505, 50313, 55505, 50313, 55505, 50313, 55505, 50313, 51824, 50457, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 52177, 51085, 51480, 51085, 51480, 51085, 51480, 51085, 51480, 51085, 51480, 68275, 68275, 68275, 68275, 68275, 50425, 51026, 50822, 51026, 50822, 51026, 50822, 51026, 50822, 51026, 60093, 50916, 68186, 68186, 68186, 68186, 51108, 50440, 50973, 51203, 50973, 51203, 50973, 51203, 50973, 51203, 50973, 51203, 50447, 79378, 79378, 79378, 79378, 50877, 66913, 50916, 52511, 50308, 52511, 50308, 52511, 50308, 52511, 50308, 51166, 51601, 51279, 51412, 51279, 51412, 51279, 51412, 51279, 51412, 51279, 51412, 50416, 78444, 78444, 78444, 78444, 78444, 50423, 51315, 50813, 51315, 50813, 51315, 50813, 51315, 50813, 51315, 55863, 50916, 76371, 76371, 76371, 76371, 63085, 51542, 50900, 51542, 50900, 51542, 50900, 51542, 50900, 51542, 79580, 59783, 59783, 59783, 59783, 50995, 50449, 50916, 61432, 61432, 61432, 61432, 50845, 50455, 51214, 51194, 51214, 51194, 51214, 51194, 51214, 51194, 51214, 51194, 50899, 61861, 61861, 61861, 61861, 50915, 54868, 51689, 50294, 51689, 50294, 51689, 50294, 51689, 50294, 54878, 50861, 63925, 63925, 63925, 63925, 51800, 50303, 51911, 50303, 51911, 50303, 51911, 50303, 51911, 50303, 50995, 50433, 51120, 51519, 50294, 51519, 50294, 51519, 50294, 51519, 50294, 65872, 71123, 71123, 71123, 71123, 51003, 50446, 51324, 51221, 51324, 51221, 51324, 51221, 51324, 51221, 51324, 51221, 50902, 64424, 64424, 64424, 64424, 73559, 51026, 50812, 51026, 50812, 51026, 50812, 51026, 50812, 51026, 54421, 50973, 51194, 50973, 51194, 50973, 51194, 50973, 51194, 50973, 51194, 50951, 51110, 50951, 51110, 50951, 51110, 50951, 51110, 50951, 51110, 50460, 50899, 51397, 50899, 51397, 50899, 51397, 50899, 51397, 50899, 51397, 59412, 51220, 51588, 50327, 51588, 50327, 51588, 50327, 51588, 50327, 62980, 59353, 59353, 59353, 59353, 54233, 50902, 60358, 60358, 60358, 60358, 69474, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 51120, 51194, 51120, 51194, 51120, 51194, 51120, 51194, 51120, 51194, 50445, 51027, 51194, 51027, 51194, 51027, 51194, 51027, 51194, 51027, 51194, 50452, 50877, 51177, 50877, 51177, 50877, 51177, 50877, 51177, 50877, 51177, 51114, 51178, 51114, 51178, 51114, 51178, 51114, 51178, 51114, 51178, 50900, 51363, 50900, 51363, 50900, 51363, 50900, 51363, 50900, 51363, 52177, 50899, 51212, 50899, 51212, 50899, 51212, 50899, 51212, 50899, 51212, 50989, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 50989, 51242, 50999, 51177, 50999, 51177, 50999, 51177, 50999, 51177, 50999, 51177, 77549, 77549, 77549, 77549, 77549, 50431, 51214, 51043, 51214, 51043, 51214, 51043, 51214, 51043, 51214, 51043, 50951, 51295, 50951, 51295, 50951, 51295, 50951, 51295, 50951, 51295, 50973, 51397, 50973, 51397, 50973, 51397, 50973, 51397, 50973, 51397, 66240, 50810, 51120, 50810, 51120, 50810, 51120, 50810, 51120, 58638, 51086, 51542, 51086, 51542, 51086, 51542, 51086, 51542, 51086, 51542, 50460, 50973, 67741, 67741, 67741, 67741, 50978, 53069, 50876, 67891, 67891, 67891, 67891, 51079, 50425, 51214, 51797, 51214, 51797, 51214, 51797, 51214, 51797, 51214, 51797, 60718, 51283, 50902, 51283, 50902, 51283, 50902, 51283, 50902, 51283, 50433, 51120, 50829, 51120, 50829, 51120, 50829, 51120, 50829, 51120, 63442, 51026, 51962, 50299, 51962, 50299, 51962, 50299, 51962, 50299, 51962, 50303, 52169, 50303, 52169, 50303, 52169, 50303, 52169, 50303, 51006, 50446, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 50973, 51212, 50452, 51086, 51328, 51086, 51328, 51086, 51328, 51086, 51328, 51086, 51328, 50453, 51026, 71115, 71115, 71115, 71115, 57348, 58339, 58339, 58339, 58339, 50915, 52478, 51324, 51043, 51324, 51043, 51324, 51043, 51324, 51043, 51324, 51043, 50951, 51675, 50951, 51675, 50951, 51675, 50951, 51675, 50951, 51675, 50425, 51026, 50841, 51026, 50841, 51026, 50841, 51026, 50841, 51026, 52667, 51086, 79966, 79966, 79966, 79966, 59537, 60318, 60318, 60318, 60318, 75406, 51214, 51177, 51214, 51177, 51214, 51177, 51214, 51177, 51214, 51177, 50902, 51241, 50902, 51241, 50902, 51241, 50902, 51241, 50902, 51241 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 38668, 483, 6, 38668, 22052, 6, 8, 38668, 2236, 6, 7513, 30, 2382, 8, 30587, 3459, 29589, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 12730, 163, 5683, 6, 4246, 10, 211, 119, 7, 272, 406, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 60859, 51333, 51768, 51333, 59015, 51333, 51955, 51333, 52177, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 51022, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 52177, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 51022, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 52177, 50798, 58910, 50798, 50874, 51302, 54154, 52945, 54209, 64348, 52101, 52594, 55707, 53391, 51054, 53012, 52462, 52129, 56701, 66674, 52945, 54092, 59682, 50798, 55346, 52945, 51552, 50804, 52101, 69725, 53119, 51550, 52177, 50798, 58910, 50798, 53881, 53132, 69921, 50858, 51974, 64348, 52101, 52594, 55707, 52689, 51054, 53012, 52462, 52129, 56701, 66674, 53132, 57623, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 50799, 53985, 51460, 50417, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 51022, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 50799, 52233, 51080, 51821, 52062, 51716, 51145, 52547, 51313, 50417, 50798, 58910, 50798, 50874, 51302, 50858, 51974, 64348, 52101, 52594, 55707, 52016, 52136, 52009, 51148, 53012, 52462, 52129, 56701, 51550, 51382, 59682, 50798, 55346, 50804, 52101, 52016, 56515, 52582, 50972, 51701, 64735, 50798, 53119, 51550, 50799, 51678, 51449, 52072, 51445, 50417, 50798, 58910, 50798, 50874, 51302, 54154, 53391, 51599, 64348, 52101, 52594, 55707, 52689, 51237, 53012, 52462, 52129, 56701, 66674, 53391, 56421, 59682, 50798, 55346, 53391, 62066, 52101, 69725, 53119, 51550, 72671, 51748, 52582, 51313, 52072, 51313, 50417, 50798, 58910, 50798, 53881, 52945, 57623, 50858, 51974, 64348, 52101, 52594, 55707, 52689, 51054, 53012, 52462, 52129, 56701, 66674, 52945, 59359, 59682, 50798, 55346, 50804, 52101, 69725, 53119, 51550, 50799, 53391, 50824, 52016, 63712, 51678, 55116, 52072, 55408, 50417, 50798, 58910, 50798, 50874, 51302, 54154, 51322, 51747, 64348, 52101, 52594, 55707, 51322, 50859, 58758, 50851, 53012, 52462, 58758, 51123, 62028, 60466, 51256, 51016, 52531, 51002, 51550, 58758, 50912, 62028, 58068, 58428, 51269, 58758, 51269, 51382, 50859, 58428, 50907, 58758, 62375, 50798, 50907, 58428, 51252, 58758, 67301, 51209, 51496, 50804, 52101, 55939, 50984, 58428, 62065, 50798, 53119, 51550, 55939, 51550, 58428, 51550, 50799, 55939, 51123, 58428, 51123, 51821, 51803, 50417, 50798, 51022, 53512, 51832, 55939, 51832, 50420, 53512, 51022, 55939, 58910, 50798, 50874, 53512, 52101, 55939, 52101, 51302, 50858, 54205, 51269, 53512, 51269, 50429, 51256, 50991, 54205, 52462, 53512, 52462, 51974, 64348, 52101, 54205, 51252, 53512, 51252, 52594, 51022, 54205, 79122, 51322, 50967, 58758, 50851, 53012, 52462, 58758, 51123, 62028, 51123, 52129, 56701, 51550, 58758, 50912, 62028, 58068, 58428, 51269, 58758, 60205, 51451, 52496, 50859, 58428, 50907, 58758, 62375, 50798, 50907, 58428, 51252, 58758, 51252, 56871, 52101, 55939, 50984, 58428, 62065, 50798, 53119, 51550, 55939, 51550, 58428, 51550, 68407, 51703, 51275, 51703, 51435, 51703, 51948, 51703, 52286, 51145, 51322, 51145, 55939, 51123, 58428, 51123, 52016, 52720, 51821, 52720, 52072, 52720, 50417, 50798, 51022, 53512, 51832, 55939, 51832, 50420, 53512, 51022, 55939, 58910, 50798, 50874, 53512, 52101, 55939, 52101, 51302, 50858, 54205, 51269, 53512, 51269, 50429, 54205, 52462, 53512, 52462, 50432, 52689, 56562, 64348, 52101, 54205, 51252, 53512, 51252, 52594, 51022, 54205, 52794, 50437, 52888, 51566, 53012, 52462, 52129, 56701, 51550, 50448, 53274, 50923, 51382, 59682, 50798, 74507, 53686, 51226, 56871, 52101, 69725, 53119, 51550, 51809, 50798, 51022, 50422, 50798, 74570, 53686, 51237, 57363, 70328, 50798, 64348, 52101, 53924, 51022, 50436, 53274, 51054, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 52888, 51090, 57048, 54721, 51275, 50896, 50452, 50798, 78877, 50804, 52101, 57796, 53119, 51550, 50460, 52689, 52195, 64680, 51314, 51144, 51314, 51119, 51314, 51821, 51449, 51701, 51449, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 52945, 55195, 64348, 52101, 53924, 51022, 50437, 52689, 61287, 51708, 51314, 51144, 51314, 51119, 51314, 60409, 52462, 50443, 52531, 51002, 51550, 50449, 52945, 55020, 50859, 50452, 50798, 78877, 52888, 57623, 52101, 57796, 53119, 51550, 61310, 51314, 51099, 51314, 51308, 51314, 51678, 51449, 52072, 51449, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 50798, 64348, 52101, 53924, 51022, 60409, 52462, 50443, 52531, 51002, 51550, 57048, 50859, 50452, 50798, 78877, 50804, 52101, 57796, 53119, 51550, 68407, 51449, 51275, 51449, 51435, 51449, 51948, 51449, 52286, 51447, 51322, 51447, 52016, 52720, 51821, 52720, 52072, 52720, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 50798, 64348, 52101, 50432, 52689, 51286, 53924, 55707, 52888, 51735, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 53274, 51286, 57048, 50859, 50452, 50798, 78877, 53686, 51573, 50804, 52101, 57796, 53119, 51550, 51809, 50798, 51022, 50422, 50798, 66118, 53686, 59359, 70328, 50798, 64348, 52101, 53924, 51022, 50437, 53274, 51054, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 52888, 51090, 57048, 54721, 51275, 50896, 50452, 50798, 78877, 50804, 52101, 57796, 53119, 51550, 50460, 52689, 51496, 64680, 51314, 51144, 51314, 51119, 51314, 80182, 51701, 51449, 50416, 50798, 51022, 50422, 50798, 50874, 57363, 70328, 52945, 52090, 64348, 52101, 53924, 51022, 50437, 52689, 61287, 51708, 51314, 51144, 51314, 51119, 51314, 60409, 52462, 50443, 52531, 51002, 51550, 50448, 52945, 51388, 57048, 50859, 50452, 50798, 78877, 50804, 52101, 50456, 52888, 51454, 57796, 53119, 51550, 61310, 51314, 51099, 51314, 51308, 51314, 51678, 53849, 52072, 51449, 50415, 52479, 56373, 50416, 50798, 51022, 50417, 52117, 52167, 50420, 52452, 54618, 50422, 50798, 56174, 52117, 52179, 57363, 54149, 52452, 52101, 50429, 52751, 51022, 50431, 50798, 64348, 52101, 50432, 52452, 51832, 53924, 60968, 52751, 58604, 52696, 51550, 60409, 52462, 50441, 52751, 50984, 50443, 52531, 51002, 65438, 52696, 72496, 52174, 50907, 57048, 54721, 52696, 51269, 50452, 50798, 62375, 52174, 79181, 50804, 52101, 50456, 53079, 51123, 57796, 53119, 51550, 50459, 54205, 62800, 53391, 51761, 50799, 57389, 50840, 52091, 51671, 51716, 51671, 50416, 50798, 51022, 50418, 57389, 56856, 50798, 74570, 57389, 56982, 50804, 65001, 57389, 62627, 52945, 65249, 64348, 52101, 50433, 57389, 50834, 53924, 60968, 57389, 52766, 53132, 51055, 60409, 52462, 50441, 57389, 62801, 52531, 51002, 51550, 50447, 57389, 60062, 53985, 52420, 50859, 50452, 50798, 62375, 57389, 58677, 53132, 51285, 50804, 52101, 57796, 53119, 51550, 50459, 57389, 50862, 72671, 51671, 51678, 51671, 50415, 52479, 56373, 50416, 57389, 53983, 51022, 50417, 52117, 52167, 50420, 52452, 54618, 50422, 57389, 54200, 56174, 52117, 52179, 50425, 57389, 55106, 54149, 52452, 52101, 50429, 52751, 51022, 50430, 57389, 56657, 50798, 64348, 52101, 50432, 52452, 51832, 50433, 57389, 50829, 53924, 60968, 52751, 51123, 50436, 57389, 54077, 52696, 51550, 50439, 57389, 50867, 60409, 52462, 50441, 52751, 50984, 50443, 52531, 51002, 65438, 52696, 51252, 50445, 57389, 56112, 52174 ]

[ 0, 250, 32625, 15855, 2125, 6, 533, 14756, 13, 10, 19834, 6, 4246, 41, 21979, 8669, 816, 10, 15352, 30054, 8, 11653, 4782, 11, 83, 538, 6, 19, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 20183, 624, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 51444, 50867, 67036, 50416, 51131, 59240, 52028, 68162, 51131, 54475, 51444, 60999, 51131, 55946, 52028, 60567, 51131, 53901, 51444, 50836, 51078, 67161, 51131, 57860, 52028, 62627, 51131, 52810, 51444, 61075, 51131, 56000, 52028, 59701, 51131, 52781, 51444, 80020, 63453, 51131, 59138, 52028, 62801, 51131, 54247, 51444, 61334, 51131, 54417, 52028, 59433, 51131, 54086, 51444, 50840, 51067, 64703, 51131, 58345, 52028, 62802, 51131, 53211, 51444, 61996, 51131, 57326, 52028, 60870, 51131, 50813, 60533, 50886, 50416, 51067, 58160, 51316, 68162, 51076, 55105, 50947, 59993, 50929, 55754, 51078, 62475, 50998, 52524, 65606, 50428, 51317, 57050, 51311, 61699, 51131, 53705, 51207, 59880, 52028, 56524, 51574, 60633, 51444, 54077, 52012, 50862, 51131, 67635, 51574, 58545, 53805, 60964, 51574, 53524, 52012, 60812, 51574, 56112, 53805, 61444, 51574, 52800, 52012, 50862, 51317, 73745, 51574, 58345, 53805, 62802, 51574, 53211, 52012, 61688, 51574, 54655, 53805, 59854, 51574, 50813, 65309, 50862, 50998, 73051, 51574, 58671, 53805, 68162, 51574, 53299, 52012, 59993, 51574, 53910, 53805, 62475, 51574, 52524, 52012, 80020, 63601, 51574, 58594, 53805, 62627, 51574, 53705, 52012, 59880, 51574, 56000, 53805, 59701, 51574, 52781, 52012, 68273, 50947, 54790, 50929, 63610, 51078, 54305, 50998, 60812, 50960, 56518, 51317, 60062, 51311, 54086, 51131, 64732, 51207, 58759, 52028, 62802, 51574, 54199, 51444, 61996, 53805, 57400, 53092, 60870, 52012, 50867, 60533, 50846, 51786, 57056, 51067, 64301, 50947, 56127, 51444, 53004, 51444, 50828, 51786, 57987, 51067, 57240, 50947, 53109, 51444, 50846, 51563, 60955, 51292, 58405, 50947, 52670, 51444, 50846, 51788, 57286, 51786, 64015, 50947, 55028, 51444, 52739, 51067, 58406, 51316, 56565, 51076, 54248, 50947, 62196, 50929, 57405, 51078, 52766, 52012, 50810, 71263, 50929, 56532, 52012, 50844, 51317, 50844, 50998, 53783, 51316, 57757, 51076, 56892, 50947, 54847, 50929, 60044, 51078, 58078, 50998, 52802, 51444, 50818, 51786, 56086, 51067, 64314, 50947, 55097, 51444, 54900, 51444, 50846, 51786, 59169, 51067, 57059, 50947, 54603, 51444, 68056, 57319, 51292, 56603, 50947, 50835, 60533, 50846, 51788, 57056, 51786, 64301, 50947, 56231, 51444, 53004, 51067, 60683, 51316, 56818, 51076, 54104, 50947, 58830, 50929, 56982, 51078, 52928, 52012, 50810, 71263, 50929, 55730, 52012, 50844, 51317, 50844, 50998, 53513, 51316, 57398, 51076, 56516, 50947, 54248, 50929, 62196, 51078, 57405, 50998, 53040, 52028, 68273, 51067, 56442, 51444, 64831, 51067, 52510, 51574, 60812, 51067, 53401, 52028, 64891, 51067, 52555, 51207, 64732, 51067, 58045, 51131, 63340, 51067, 52485, 51311, 61688, 51067, 56249, 51317, 60870, 51067, 50836, 50799, 60917, 50416, 51067, 58093, 51311, 68162, 51067, 52628, 51131, 59993, 51067, 53467, 51846, 62475, 51067, 53548, 52012, 71699, 51316, 54056, 51076, 61699, 50947, 54860, 52012, 59992, 50947, 55310, 51076, 59921, 51316, 53894, 51067, 67635, 51292, 58037, 51786, 63610, 52866, 53524, 51788, 58171, 52866, 56317, 53568, 61495, 51788, 54185, 52012, 51330, 50947, 51330, 61791, 51444, 50886, 60917, 50416, 51131, 58671, 52028, 65942, 51131, 53299, 51444, 60342, 51131, 55946, 52028, 62475, 51131, 53901, 51444, 50840, 51078, 63692, 51131, 57050, 52028, 62627, 51131, 52810, 51444, 59992, 51131, 54350, 52028, 58572, 51131, 52781, 51444, 80020, 63453, 51131, 59356, 52028, 64101, 51131, 53524, 51444, 61334, 51131, 56112, 52028, 59433, 51131, 52800, 51444, 50809, 51067, 63602, 51131, 58759, 52028, 62802, 51131, 54319, 51444, 61996, 51131, 54655, 52028, 59854, 51131, 50862, 60533, 76328, 51067, 58093, 51316, 63315, 51076, 55105, 50947, 60999, 50929, 55754, 51078, 62475, 50998, 53383, 65606, 50428, 51317, 57050, 51311, 61699, 51131, 53705, 51207, 59992, 52028, 56030, 51574, 60633, 51444, 54077, 52012, 50862, 51131, 67635, 51574, 58545, 53805, 60964, 51574, 53524, 52012, 61334, 51574, 54417, 53805, 59433, 51574, 53938, 52012, 50836, 51317, 69008, 51574, 58759, 53805, 62802, 51574, 53211, 52012, 62309, 51574, 57023, 53805, 59854, 51574, 50813, 65309, 50855, 66807, 50416, 51574, 58671, 53805, 68162, 51574, 53299, 52012, 60999, 51574, 55946, 53805, 60811, 51574, 52524, 52012, 80020, 63601, 51574, 58594, 53805, 62627, 51574, 52810, 52012, 61075, 51574, 54350, 53805, 59701, 51574, 52781, 52012, 68273, 50947, 54790, 59313, 50443, 51078, 54305, 50998, 60812, 50960, 56518, 51317, 60062, 51311, 52800, 51131, 66056, 51207, 55726, 52028, 62802, 51574, 54199, 51444, 62309, 53805, 57400, 53092, 59854, 52012, 50813, 60533, 50818, 51786, 54925, 51067, 64301, 50947, 56572, 51444, 54448, 51444, 50846, 51786, 60683, 51067, 58659, 50947, 53109, 51444, 50846, 51563, 60955, 51292, 58405, 50947, 52641, 51444, 50846, 51788, 57286, 51786, 64561, 50947, 55028, 51444, 52739, 51067, 58406, 51316, 56512, 51076, 54288, 50947, 59370, 50929, 57405, 51078, 53040, 52012, 50810, 71263, 50929, 56532, 52012, 50844, 51317, 50844, 50998, 53783, 51316, 58953, 51076, 57728, 50947, 54847, 50929, 60044, 51078, 58078, 50998, 53057, 51444, 50846, 51786, 57150, 51067, 64314, 50947, 54781, 51444, 53176, 51444, 50846, 51786, 59169, 51067, 57059, 50947, 54026, 51444, 50828, 51563, 60112, 51292, 56172, 50947, 50837, 60533, 50846, 51788, 57056, 51786, 67722, 50947, 56231, 51444, 54448, 51067, 60683, 51316, 57240, 51076, 54104, 50947, 61494, 50929, 56982, 51078, 52928, 52012, 50810, 71263, 50929, 55730, 52012, 50810, 51317, 50810, 50998, 52658, 51316, 57398, 51076, 56565, 50947, 54606, 50929, 58316, 51078, 57352, 50998, 53040, 52028, 66116, 51067, 54790, 51444, 64101, 51067, 54400, 51574, 61794, 51067, 55761, 52028, 61444, 51067, 53886, 51207, 76690, 51067, 54139, 51131, 63340, 51067, 52485, 51311, 62309, 51067, 56249, 51317, 59854, 73369, 50799, 60917, 50416, 51067, 58093, 51311, 68162, 51067, 52628, 51131, 59993, 51067, 53467, 51846, 64783, 51067, 53548, 52012, 66765, 51316, 58511, 51076, 61699, 50947, 53705, 52012, 61075, 50947, 53307, 51076, 59948, 51316, 54431, 51067, 62384, 51292, 58037, 51786, 65891, 52866, 54247, 51788, 58171, 52866, 56518, 53568, 61495, 51788, 54185, 52012, 51330, 50947, 51330, 65309, 50841, 51292, 56260, 51316, 67553, 50947, 56127, 52012, 53004, 52012, 50828, 51292, 57987, 51316, 56856, 50947, 53868, 52012, 50828, 51786, 59095, 51067, 58405, 50947, 52712, 52012, 68056, 56171, 51292, 59551, 50947, 55028, 52012, 52739, 52012, 50846, 51563, 58406, 51292, 56512, 50947, 53439, 52012, 50846, 51563, 61385, 51292, 57352, 50947, 52896, 52012, 50828, 51788, 56068, 51786, 64562, 50947, 55788, 52012, 50846, 51563, 60547, 51292, 58616, 50947, 53114, 52012, 50828, 51786, 57757, 51067, 56892, 50947, 54492, 52012, 50828, 51292, 59698, 51316, 56918, 50947, 53057, 51444, 50828, 51786, 56012, 51067, 64314, 50947, 55423, 51444, 53176, 51444, 50846, 51786, 59169, 51067, 57059, 50947, 54603, 51444, 50846, 51563, 61698, 51292, 56842, 50947, 50837, 60533, 50828, 51788, 55614, 51786, 64301, 50947, 58593, 51444, 54711, 51444, 50818, 51788, 58158, 51786, 56856, 50947, 53991, 51444, 50828, 51788, 59095, 51786, 58405, 50947, 52917, 51444, 50846, 53568, 57286, 51563, 64015, 50947, 56609, 51444, 50818, 51788, 57318, 51786, 59651, 50947, 52767, 51444, 50828, 51563, 57398, 51292, 56516 ]

[ 0, 250, 15352, 30054, 5175, 15229, 11, 83, 538, 6, 4246, 10, 38668, 483, 6, 38668, 11212, 6, 8, 17605, 9590, 4, 20, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 8, 15073, 4, 20, 16331, 33215, 16739, 9, 83, 6, 163, 6, 8, 230, 10431, 119, 406, 3639, 7, 63, 13363, 28191, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 58957, 50800, 67314, 51036, 76863, 54994, 69577, 51631, 55462, 51628, 69577, 53505, 55087, 51724, 64995, 66584, 55462, 51820, 69577, 51798, 55087, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 50800, 62251, 51036, 57756, 52045, 50420, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 56100, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64012, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51492, 57756, 52045, 50420, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 51835, 69577, 51631, 55462, 51628, 69577, 53505, 56091, 51724, 55314, 66584, 62325, 51820, 69577, 51798, 61042, 51754, 69577, 56750, 50329, 53626, 50329, 50800, 50799, 58957, 50800, 62251, 51036, 59255, 56100, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 51036, 57756, 54994, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64995, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51036, 57756, 56100, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51036, 76863, 54994, 69577, 51631, 55462, 51628, 69577, 53505, 55087, 51724, 64995, 66584, 55462, 51820, 69577, 51798, 55087, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 50800, 62251, 51036, 57756, 52045, 50420, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 56100, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64012, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51492, 57756, 52045, 50420, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 58957, 51835, 69577, 51631, 55462, 51628, 69577, 53505, 56091, 51724, 55314, 66584, 62325, 51820, 69577, 51798, 61042, 51754, 69577, 56750, 50329, 53626, 50329, 50800, 50799, 58957, 50800, 62251, 51036, 59255, 56100, 54931, 51631, 55462, 51628, 54931, 53505, 53354, 52831, 56091, 51820, 54931, 51798, 55462, 51754, 54931, 56750, 50327, 50800, 50799, 58957, 50800, 64638, 51036, 57756, 54994, 60915, 51631, 55462, 51628, 60915, 53505, 53929, 51724, 64995, 66584, 56091, 51820, 60915, 51798, 55087, 51754, 60915, 56750, 50327, 50800, 50799, 58957, 50800, 67314, 51036, 57756, 56100, 69577, 51631, 55462, 51628, 69577, 53505, 53929, 52831, 56091, 51820, 69577, 51798, 55462, 51754, 69577, 56750, 50327, 50800, 50799, 67314, 51036, 76863, 54994, 69577, 51736, 69577, 51646, 64995, 56027, 69577, 51923, 69577, 50795, 50799, 62251, 51036, 57756, 52045, 50420, 54931, 51736, 54931, 51918, 54931, 51923, 54931, 50795, 50799, 64638, 56100, 60915, 51736, 60915, 51646, 64012, 56027, 60915, 51923, 60915, 50795, 50799, 67314, 51492, 57756, 52045, 50420, 69577, 51736, 69577, 51918, 69577, 51923, 69577, 50795, 61627, 55314, 50918, 50799, 62251, 51036, 59255, 51036, 50799, 64638, 51036, 57756, 56039, 64995, 50918, 50799, 67314, 51036, 57756, 51036, 50799, 67314, 51036, 76863, 56039, 64995, 50918, 50799, 62251, 51036, 57756, 52045, 50799, 64638, 76175, 64012, 50918, 50799, 67314, 51492, 57756, 52045, 61627, 55314, 50918, 50799, 55750, 51550, 62251, 51036, 59255, 56100, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 51550, 50459, 53929, 50800, 50799, 56201, 51550, 64638, 51036, 57756, 54994, 55462, 52296, 56201, 65437, 55087, 51628, 56201, 51550, 50435, 53929, 51724, 56201, 51550, 64995, 56027, 55462, 52513, 56201, 66674, 55087, 51754, 56201, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 57756, 56100, 55462, 52296, 59090, 65437, 55087, 51628, 59090, 51550, 50435, 53929, 51724, 59090, 65438, 55462, 52513, 59090, 66674, 55087, 51754, 59090, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 76863, 54994, 55462, 52296, 59090, 65437, 58233, 51628, 59090, 51550, 50435, 58957, 51724, 59090, 51550, 64995, 56027, 55462, 52513, 59090, 66674, 58233, 51754, 59090, 51550, 50459, 58957, 50800, 50799, 55750, 51550, 62251, 51036, 57756, 52045, 50420, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 79530, 53929, 50800, 50799, 56201, 51252, 64638, 56100, 55462, 52296, 56201, 58782, 55087, 51628, 56201, 69470, 53929, 51724, 56201, 51252, 64012, 56027, 55462, 52513, 56201, 61013, 55087, 51754, 56201, 79530, 53929, 50800, 50799, 59090, 51252, 67314, 51492, 57756, 52045, 50420, 55462, 52296, 59090, 58782, 58233, 51628, 59090, 69470, 58957, 51724, 59090, 62095, 55462, 52513, 59090, 61013, 58233, 51754, 59090, 79530, 58957, 50800, 50799, 59090, 63478, 58957, 52296, 59090, 58782, 61042, 51628, 59090, 69470, 62325, 51724, 59090, 51252, 55314, 56027, 58957, 52513, 59090, 61013, 61042, 51754, 59090, 79530, 62325, 50800, 50799, 55750, 51550, 62251, 51036, 59255, 56100, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 51550, 50459, 53929, 50800, 50799, 56201, 51550, 64638, 51036, 57756, 54994, 55462, 52296, 56201, 65437, 55087, 51628, 56201, 51550, 50435, 53929, 51724, 56201, 51550, 64995, 56027, 55462, 52513, 56201, 66674, 55087, 51754, 56201, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 57756, 56100, 55462, 52296, 59090, 65437, 55087, 51628, 59090, 51550, 50435, 53929, 51724, 59090, 65438, 55462, 52513, 59090, 66674, 55087, 51754, 59090, 51550, 50459, 53929, 50800, 50799, 59090, 51550, 67314, 51036, 76863, 54994, 55462, 52296, 59090, 65437, 58233, 51628, 59090, 51550, 50435, 58957, 51724, 59090, 51550, 64995, 56027, 55462, 52513, 59090, 66674, 58233, 51754, 59090, 51550, 50459, 58957, 50800, 50799, 55750, 51550, 62251, 51036, 57756, 52045, 50420, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462, 52513, 55750, 66674, 55087, 51754, 55750, 79530, 53929, 50800, 50799, 56201, 51252, 64638, 56100, 55462, 52296, 56201, 58782, 55087, 51628, 56201, 69470, 53929, 51724, 56201, 51252, 64012, 56027, 55462, 52513, 56201, 61013, 55087, 51754, 56201, 79530, 53929, 50800, 50799, 59090, 51252, 67314, 51492, 57756, 52045, 50420, 55462, 52296, 59090, 58782, 58233, 51628, 59090, 69470, 58957, 51724, 59090, 62095, 55462, 52513, 59090, 61013, 58233, 51754, 59090, 79530, 58957, 50800, 50799, 59090, 63478, 58957, 52296, 59090, 58782, 61042, 51628, 59090, 69470, 62325, 51724, 59090, 51252, 55314, 56027, 58957, 52513, 59090, 61013, 61042, 51754, 59090, 79530, 62325, 50800, 50799, 55750, 51550, 62251, 51036, 59255, 56100, 55462, 52296, 55750, 65437, 55087, 51628, 55750, 51550, 50435, 53929, 51724, 55750, 65438, 55462 ]

[ 0, 250, 19448, 8, 5679, 26709, 25771, 5175, 2214, 14, 7630, 6568, 10, 1472, 9, 11926, 8, 115, 28, 341, 11, 10, 822, 4, 85, 1575, 10, 13305, 8, 3459, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 18558, 6, 8, 21979, 9590, 4, 20, 2125, 16, 11, 230, 538, 6, 34, 10, 7212, 20889, 9, 1814, 741, 1685, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50871, 51307, 51890, 51894, 51783, 51353, 58060, 51714, 51959, 68988, 50931, 51422, 52569, 51452, 50432, 51062, 50873, 53826, 53415, 51062, 51204, 53826, 71492, 51081, 50807, 54057, 60866, 50999, 51056, 52930, 55345, 50951, 51077, 52627, 51446, 50461, 52679, 51151, 51601, 50900, 51359, 52114, 51518, 55902, 52222, 51771, 52015, 76946, 51422, 51959, 51452, 50432, 65515, 52627, 53415, 50951, 51157, 52627, 52815, 50999, 51775, 52930, 50974, 50449, 51081, 51056, 54057, 62174, 50999, 51295, 52930, 51351, 50461, 52123, 51353, 54206, 51151, 52003, 51422, 57340, 53142, 51816, 52783, 50425, 50902, 51422, 52092, 72816, 50931, 50943, 52569, 58141, 50951, 51003, 52627, 51003, 50455, 50999, 50943, 52930, 50943, 50460, 54099, 51422, 50461, 50997, 51692, 52951, 51692, 52591, 50951, 50943, 52627, 50943, 50425, 50871, 51127, 51890, 51127, 77431, 50943, 52569, 50943, 50443, 50968, 51177, 52577, 51177, 50448, 52679, 50995, 50449, 76592, 52092, 51121, 51150, 51159, 55895, 50866, 52114, 50866, 50455, 50876, 51562, 51959, 51562, 50460, 51140, 51894, 51783, 51151, 50461, 51050, 51945, 53362, 51945, 51567, 51151, 51093, 51449, 50799, 62777, 54146, 50419, 50900, 51592, 52114, 75856, 62777, 56373, 50425, 50871, 51742, 51890, 51742, 50426, 62777, 52101, 59409, 50808, 51959, 50808, 62777, 52794, 62204, 51111, 51959, 51111, 62777, 52101, 50444, 50906, 50901, 52158, 50901, 62777, 52794, 60027, 50805, 51816, 50805, 62777, 52101, 50455, 51216, 54752, 50861, 51446, 51771, 51446, 62777, 52794, 50461, 51150, 51894, 52679, 51313, 51088, 51353, 53997, 51486, 53897, 51486, 62777, 54146, 51555, 51445, 56978, 51803, 53168, 51803, 62777, 56373, 53523, 52015, 52114, 52015, 62777, 52101, 50431, 61084, 51771, 58191, 62777, 52794, 50437, 74225, 51771, 74387, 62777, 52101, 50443, 50877, 51203, 51816, 72438, 62777, 52794, 50449, 50906, 51110, 52158, 65114, 62777, 52101, 50454, 51216, 68464, 79379, 51816, 51218, 62777, 52794, 50460, 52123, 51313, 51584, 51445, 51113, 51359, 50461, 51120, 51353, 53795, 52069, 51389, 51486, 50799, 62777, 54146, 50419, 51027, 53142, 53359, 52783, 50420, 62777, 56373, 78091, 51692, 52003, 78042, 62777, 52101, 50431, 50871, 51413, 51890, 51191, 50432, 62777, 79122, 62777, 52101, 58365, 50981, 51771, 51212, 62777, 52794, 50449, 51150, 55247, 65893, 51816, 51101, 62777, 52101, 50456, 50906, 51003, 52158, 51003, 62777, 52794, 50460, 51783, 51677, 54099, 51939, 51154, 51313, 50461, 51261, 51422, 54662, 51675, 55333, 51675, 62777, 54146, 57340, 50943, 51816, 50943, 62777, 56373, 60643, 51127, 53362, 51127, 62777, 52101, 58319, 50889, 51771, 50889, 62777, 79122, 62777, 52101, 50443, 76518, 51890, 65562, 62777, 52794, 50449, 77479, 51555, 52188, 52679, 75756, 51085, 66446, 51100, 53897, 50862, 52126, 51100, 62777, 52101, 50456, 50871, 51177, 51890, 51177, 62777, 52794, 50460, 52123, 52337, 51584, 52337, 50461, 51120, 51945, 53795, 51945, 51154, 52149, 56950, 51307, 62777, 54146, 56945, 51145, 53359, 51145, 62777, 56373, 53337, 51452, 52003, 51452, 62777, 52101, 63174, 52069, 50916, 51003, 51816, 52069, 52126, 51003, 62777, 79122, 62777, 52101, 50443, 50871, 51675, 51890, 51675, 50444, 62777, 52794, 50450, 62777, 52101, 50456, 51027, 51212, 53359, 51212, 62777, 52794, 50461, 51120, 51307, 53795, 51307, 51273, 51307, 50799, 62777, 54146, 56945, 52335, 53359, 52335, 62777, 56373, 78091, 51677, 52003, 73660, 62777, 52101, 63174, 51803, 50916, 51452, 51816, 51803, 52126, 51452, 62777, 79122, 62777, 52101, 57428, 51191, 51890, 51191, 62777, 52794, 50450, 62777, 52101, 50456, 62777, 52794, 50460, 51783, 51714, 50461, 51567, 52335, 54734, 52071, 51050, 52335, 55516, 52071, 53362, 52335, 51140, 51945, 62777, 54146, 50419, 50900, 54171, 52114, 54171, 50420, 62777, 56373, 50425, 50871, 51422, 51890, 68988, 62777, 52101, 58319, 51452, 50876, 51803, 51771, 51452, 51959, 51803, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50455, 51279, 51100, 56887, 61327, 51216, 50917, 62777, 52794, 50459, 52679, 52151, 50461, 51261, 51991, 54662, 51991, 55333, 51991, 62777, 54146, 50415, 51555, 59125, 53502, 52151, 52114, 52151, 62777, 56373, 53645, 51714, 51890, 51714, 62777, 52101, 58319, 51790, 50876, 51677, 51771, 51790, 51959, 51677, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50456, 51279, 50873, 56887, 50873, 51216, 50805, 62777, 52794, 50461, 51098, 51894, 55699, 52151, 54795, 51714, 56734, 51714, 62777, 54146, 52123, 61017, 54569, 51714, 52003, 51714, 62777, 56373, 50425, 50871, 51452, 51890, 72270, 62777, 52101, 50431, 65218, 50876, 51145, 51771, 51047, 51959, 51145, 50432, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50456, 51234, 50901, 55333, 50901, 51261, 50917, 62777, 52794, 50460, 52679, 51313, 51555, 51748, 50461, 51150, 51161, 53997, 51359, 53897, 51359, 62777, 54146, 50419, 50900, 51101, 52114, 77769, 62777, 56373, 78091, 51178, 50861, 51749, 52003, 51178, 51771, 51749, 50426, 62777, 52101, 50431, 50916, 51675, 52126, 51675, 50432, 62777, 79122, 62777, 52101, 57428, 51100, 51890, 51100, 62777, 52794, 56222, 51134, 51771, 51134, 75919, 62777, 52101, 50456, 62777, 52794, 50460, 51783, 52071, 51567, 52335, 54734, 52069, 51050, 51945, 55516, 52069, 53362, 51945, 51793, 51991, 62777, 54146, 50419, 50900, 50359, 50408, 52114, 50359, 50408, 50420, 62777, 56373, 50425, 50871, 51677, 51890, 73660, 62777, 52101, 58319, 51790, 50876, 51452, 51771, 51790, 51959, 51452, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50455, 51279, 51177, 56887, 67773, 51216, 50938, 62777, 52794, 50460, 54099, 51318, 50461, 51234, 51894, 55333, 51894, 51261, 51605, 50799, 62777, 54146, 51783, 55275, 50419, 80141, 52114, 62912, 62777, 56373, 50425, 50871, 51692, 51890, 51692, 50426, 62777, 52101, 50431, 50861, 51452, 50876, 51742, 51771, 51452, 51959, 51742, 50432, 62777, 52794, 54099, 51448, 50438, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50455, 51279, 50845, 56887, 50845, 51216, 52961, 62777, 52794, 50459, 55699, 52335, 52123, 52335, 50461, 51214, 51945, 56734, 51945, 51098, 51991, 50799, 62777, 54146, 50419, 50899, 54171, 52003, 54171, 50420, 62777, 56373, 50425, 50871, 51662, 51890, 51662, 50426, 62777, 52101, 50431, 50861, 51790, 51771, 51790, 59409, 51790, 51959, 51790, 62777, 79122, 62777, 52101, 50444, 62777, 52794, 50450, 62777, 52101, 50454, 51050, 50905, 53362, 50905, 50455, 51793, 59132, 62777, 52794, 50460, 51315, 51353, 56805, 51353, 50461, 51984, 51036, 50799, 62777, 54146, 50417, 52679, 52151, 51555, 52222, 50419, 50900, 50905, 52114, 55126, 62777, 56373, 50424, 68930, 50899, 51101, 51771, 51535, 52003, 67175, 62777, 52101, 50431, 50916, 51413, 52126, 51413, 50432, 62777, 79122, 62777, 52101, 57428, 51177, 51890, 51177, 62777, 52794, 56222, 51351, 51771, 51351, 62777, 52101, 50456, 62777, 52794, 50459, 51584, 51445, 52123, 51445, 50461, 51389, 51036, 54868, 51359, 53795, 51359, 62777, 54146, 50420, 62777, 56373, 50421, 51027, 51945, 53359, 51945, 53337, 51183, 52003, 51183, 62777, 52101, 64185, 60598, 51675, 52126, 51003, 51816, 51675, 62777, 79122, 62777, 52101, 57428, 51141, 51890, 51141, 62777, 52794, 50450, 62777, 52101, 50456, 62777, 52794, 50461, 51214, 51790 ]

[ 0, 250, 1769, 12, 20764, 5175, 1349, 11, 381, 538, 6, 5378, 16364, 19, 15352, 30054, 1007, 8, 2933, 223, 34693, 4, 20, 204, 73, 306, 86, 6543, 8462, 2507, 5, 2214, 556, 6, 150, 5, 33215, 16739, 9, 12608, 119, 6, 381, 6, 230, 10431, 6, 12608, 6, 8, 381, 3639, 41, 14816, 46336, 4811, 4, 2285, 63, 765, 13428, 6, 42, 2125, 15358, 10, 25306, 10064, 6, 7630, 14805, 10, 1472, 9, 30837, 6942, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 51040, 54639, 50968, 52432, 51399, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50877, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 53905, 50877, 52210, 51001, 58175, 51027, 53545, 50877, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 57002, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 54656, 50877, 52210, 50999, 62911, 51027, 53545, 50877, 52349, 51147, 50925, 56310, 54639, 50877, 52432, 50968, 50955, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51028, 58238, 51027, 53545, 50877, 52349, 50968, 50955, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209, 50968, 59577, 51040, 53905, 51028, 52210, 51001, 58460, 51040, 53545, 51028, 52349, 50968, 56569, 65200, 57346, 54639, 51028, 52432, 51028, 58382, 51040, 54013, 51028, 52209, 51028, 59983, 51040, 53905, 51028, 52210, 51001, 58175, 51040, 53545, 51028, 52349, 50968, 51210, 57346, 54639, 51028, 52432, 50999, 58382, 51040, 54013, 51028, 52209, 50999, 58450, 51040, 53905, 51028, 52210, 51147, 58332, 51040, 53545, 51028, 52349, 50968, 54421, 63417, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209, 50968, 59577, 51040, 53905, 51028, 52210, 51001, 58460, 51040, 53545, 51028, 52349, 50968, 56569, 65200, 57346, 54639, 51028, 52432, 51028, 58382, 51040, 54013, 51028, 52209, 51028, 59983, 51040, 53905, 51028, 52210, 51001, 58175, 51040, 53545, 51028, 52349, 50968, 51210, 50796, 57346, 54639, 50968, 52432, 51399, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51378, 54013, 50989, 52209, 51028, 59983, 51176, 53905, 50965, 52210, 51001, 58175, 51176, 53545, 50965, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 57002, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51027, 53545, 50968, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 54656, 50877, 52210, 50999, 62911, 51027, 53545, 50877, 52349, 51147, 50925, 56310, 54639, 50877, 52432, 50968, 50955, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51028, 58238, 51027, 53545, 50877, 52349, 50968, 50955, 57346, 54639, 50968, 52432, 51399, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50877, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 53905, 50877, 52210, 51001, 58175, 51027, 53545, 50877, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 57002, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51378, 54013, 50989, 52209, 51028, 59983, 51176, 54656, 50965, 52210, 50999, 62911, 51176, 53545, 50965, 52349, 51147, 50925, 50796, 57346, 54639, 50968, 52432, 51430, 57499, 51040, 54013, 50968, 52209, 51405, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 50973, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50877, 52432, 51028, 58382, 51176, 54013, 50965, 52209, 51028, 59983, 51027, 53905, 50877, 52210, 51001, 58175, 51027, 53545, 50877, 52349, 50968, 51210, 56310, 54639, 50877, 52432, 50999, 50955, 57025, 54013, 50877, 52209, 50999, 58450, 51027, 53905, 50877, 52210, 51147, 58332, 51027, 53545, 50877, 52349, 50968, 54421, 68940, 57346, 54639, 50968, 52432, 51220, 57499, 51040, 54013, 50968, 52209, 51399, 58866, 51086, 53905, 51001, 52210, 51220, 58238, 51086, 53545, 51001, 52349, 51399, 54846, 66310, 56310, 54639, 50877, 52432, 50968, 50942, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51001, 58460, 51027, 53545, 50877, 52349, 50968, 56569, 65200, 59130, 54639, 50989, 52432, 51028, 58382, 51378, 54013, 50989, 52209, 51028, 59983, 51176, 54656, 50965, 52210, 50999, 62911, 51176, 53545, 50965, 52349, 51147, 50925, 56310, 54639, 50877, 52432, 50968, 50955, 57025, 54013, 50877, 52209, 50968, 59577, 51027, 53905, 50877, 52210, 51028, 58238, 51027, 53545, 50877, 51754, 68319, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209, 50968, 59577, 51040, 53905, 51028, 52210, 51001, 58460, 51040, 53545, 51028, 52349, 50968, 56569, 65200, 57346, 54639, 51028, 52432, 51399, 57499, 51040, 54013, 51028, 52209, 51399, 58866, 51040, 53905, 51028, 52210, 51220, 58238, 51040, 53545, 51028, 52349, 51399, 54846, 66310, 57346, 54639, 51028, 52432, 50968, 57629, 51040, 54013, 51028, 52209 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 3366, 219, 8, 980, 219, 5466, 6, 4246, 21072, 6, 20535, 2810, 6, 326, 5638, 18026, 6, 13305, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 83, 3694, 6, 19, 10, 7212, 20889, 9, 7953, 13410, 228, 2289, 8, 10, 132, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 1918, 8, 272, 6, 61, 7230, 1328, 5, 2214, 6, 2351, 10, 19448, 8, 1372, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 66702, 51057, 51648, 50880, 52058, 53291, 50379, 52638, 59722, 51648, 50880, 52058, 53291, 53932, 50832, 55884, 51648, 50884, 52058, 52240, 63787, 52450, 50832, 50379, 52638, 53300, 51648, 50846, 52058, 52100, 54259, 52002, 50887, 52148, 53716, 55632, 51776, 51364, 51866, 51364, 50832, 63787, 50808, 51057, 50832, 50379, 52638, 50950, 51921, 53932, 50832, 50858, 52111, 63787, 52710, 50832, 50873, 51383, 65342, 51713, 50859, 51702, 54054, 54259, 51888, 50840, 52384, 56330, 55632, 51683, 50887, 51947, 53716, 63787, 50808, 51057, 51648, 50884, 52058, 52240, 50379, 52638, 54024, 51648, 51031, 52058, 53551, 53932, 50832, 55884, 51683, 50949, 51947, 52683, 63787, 53049, 50832, 50379, 52638, 53300, 51963, 50859, 53266, 54054, 53627, 51913, 51472, 53093, 51472, 50832, 50858, 52224, 63787, 50808, 51057, 50832, 50379, 52638, 50803, 51921, 53932, 50832, 50858, 52111, 63787, 53049, 50832, 50873, 51383, 50894, 51999, 54259, 50832, 50858, 52224, 63787, 50812, 51057, 51648, 50880, 52058, 53291, 50873, 51383, 54024, 51648, 50880, 52058, 53291, 55689, 50832, 55884, 51648, 50962, 52058, 55607, 63787, 53049, 50832, 50379, 52638, 58236, 51648, 50836, 52058, 55048, 53627, 52002, 50808, 52148, 53791, 55632, 51776, 51364, 51866, 51364, 50832, 63787, 50833, 51057, 50832, 50379, 52638, 50803, 51921, 53932, 50832, 50858, 52111, 63787, 53049, 50832, 50379, 52638, 53300, 51713, 50859, 51702, 54054, 53627, 51888, 50810, 52384, 53657, 55632, 51683, 50808, 51947, 53791, 63787, 50812, 51057, 51648, 50880, 52058, 53291, 50379, 52638, 50803, 51921, 53932, 50832, 55884, 51713, 50812, 51702, 53187, 63787, 52710, 51888, 50887, 52384, 53716, 50379, 52638, 53300, 51683, 50840, 51947, 56330, 53627, 51648, 51685, 52058, 77789, 50858, 52224, 63787, 50833, 51057, 50832, 50379, 52638, 50803, 51921, 53932, 50832, 50858, 52111, 63787, 52710, 51069, 50949, 52253, 50923, 51289, 51880, 50379, 52638, 53300, 51069, 50387, 53221, 57575, 53627, 51069, 50962, 52107, 66992, 51880, 55632, 51069, 63310, 51880, 59719, 50812, 51057, 51614, 50845, 51515, 50845, 51440, 51121, 65895, 51649, 50825, 54039, 50863, 51007, 50886, 51257, 65965, 50867, 52107, 51014, 52451, 51490, 52592, 52212, 51289, 51880, 53376, 50586, 76922, 57287, 50378, 52638, 63973, 60685, 51649, 52144, 53932, 51007, 50834, 51257, 50820, 51649, 50870, 51649, 50825, 54039, 57282, 53657, 61320, 68606, 54347, 51649, 50863, 51649, 50820, 54039, 50841, 52107, 55146, 51880, 68607, 57402, 57529, 52450, 51069, 51388, 51649, 50863, 54039, 50982, 53043, 50384, 53221, 54132, 74411, 67713, 56010, 56274, 54039, 50908, 51007, 50813, 51257, 50867, 51649, 50941, 51649, 50886, 53043, 54078, 53657, 50873, 51587, 68606, 52658, 50927, 51834, 50325, 50863, 51649, 50820, 54039, 50820, 53043, 55607, 55632, 50909, 50829, 51149, 50841, 54039, 50908, 51439, 50887, 51649, 50941, 53043, 54078, 54592, 50572, 53288, 66679, 79042, 56854, 55771, 73927, 50907, 51057, 51774, 51328, 51660, 51101, 51434, 51101, 72542, 51439, 50891, 52138, 50941, 52730, 50962, 52892, 52147, 53281, 51703, 50798, 56062, 54090, 60668, 68671, 50378, 52638, 70120, 64493, 56115, 50909, 50835, 51149, 50820, 51439, 50971, 51439, 50862, 52138, 50941, 52730, 52546, 53932, 51439, 50891, 51439, 50835, 52138, 50863, 52138, 50820, 52730, 53850, 58071, 61320, 62004, 56237, 50909, 50829, 51149, 50820, 51439, 50841, 52138, 50870, 52730, 53235, 56062, 54995, 66679, 68671, 64136, 55771, 61639, 53881, 51069, 50962, 51439, 50870, 52138, 50825, 52575, 50386, 53221, 54132, 50873, 51270, 50378, 52638, 70120, 57544, 51069, 50894, 51439, 50908, 51439, 50820, 52138, 50863, 52138, 50841, 52575, 53696, 54259, 50909, 50820, 51149, 50820, 51439, 50928, 52138, 50870, 51439, 50855, 52544, 52311, 50804, 53255, 61320, 68606, 54378, 51069, 50894, 51439, 50908, 52138, 71340, 51880, 68607, 66625, 64400, 50808, 51057, 51614, 51203, 51515, 51203, 51440, 51412, 68318, 51007, 50886, 51257, 50857, 51649, 50864, 51649, 50867, 54039, 50864, 52451, 51703, 52592, 51703, 52531, 51002, 58071, 60668, 79042, 50378, 52638, 56010, 59365, 62311, 51649, 59606, 52520, 60668, 55140, 53420, 51007, 50820, 51257, 50839, 51649, 50825, 51649, 50820, 54039, 50863, 54039, 50841, 51649, 53225, 55884, 51649, 50863, 54039, 58597, 56701, 55171, 66679, 62983, 56854, 55771, 64493, 53220, 50945, 51388, 51649, 50863, 54039, 63272, 72663, 57575, 60668, 68671, 50378, 52638, 56010, 68606, 58519, 51649, 50825, 51649, 50820, 54039, 50863, 54039, 77729, 50813, 51257, 50855, 51649, 73452, 54054, 53627, 50927, 51834, 50325, 50863, 54039, 54835, 53255, 61320, 68606, 54378, 51149, 50841, 51649, 50863, 50909, 50855, 54039, 50941, 51439, 53497, 54023, 50572, 52973, 66679, 68671, 58701, 61944, 73927, 50844, 51057, 51774, 50905, 51660, 50845, 51434, 50905, 50964, 51388, 51439, 50870, 52138, 50863, 52892, 52212, 53281, 76915, 51880, 74411, 65442, 56010, 60685, 50909, 50829, 51149, 50839, 51439, 50891, 51439, 54131, 58071, 60668, 79042, 59556, 64493, 54964, 50927, 51388, 51439, 50908, 51439, 50829, 52138, 50863, 52138, 55018, 51074, 50832, 61320, 50905, 51240, 75741, 50909, 50829, 51149, 50829, 51439, 50891, 51439, 50846, 52138, 56240, 57575, 68607, 56854, 55771, 66031, 51270, 60806, 53906, 50964, 51834, 50323, 50870, 52138, 50825, 52253, 57361, 67614, 54413, 50873, 51587, 68671, 50378, 52638, 63973, 64493, 55730, 51439, 50908, 52138, 50368, 52082, 51880, 50873, 51270, 60806, 53911, 50927, 51354, 51149, 50820, 51439, 50908, 52138, 50863, 50909, 63670, 50833, 52107, 56106, 54592, 50572, 51880, 61320, 79042, 60806, 59365, 56857, 51439, 50870, 52138, 54839, 54592, 50572, 51880, 66679, 79042, 56854, 55771, 61639, 50907, 51057, 51614, 51412, 51515, 51203, 51440, 51124, 51007, 50825, 51649, 50837, 51257, 65965, 50857, 54039, 50864, 52107, 51014, 52451, 51447, 52592, 51703, 50804, 68727, 51880, 50873, 51587, 68671, 50379, 52638, 56010, 64493, 58172, 51649, 50825, 54039, 52144, 50873, 50418, 51649, 50825, 54039, 59346, 51649, 50855, 54039, 54878, 51007, 50820, 51257, 50841, 51649, 50863, 51649, 50834, 54039, 55536, 53255, 61320, 68606, 54252, 51649, 50825, 54039, 50813, 52107, 55146, 56701, 58071, 66679, 79042, 64136, 55771, 64493, 54504, 50945, 51834, 50325, 50837, 54039, 50870, 52544, 50386, 53221, 53288, 74411, 50379, 52638, 63973, 56274, 51257, 50820, 51649, 50863, 51649, 50820, 54039, 50870, 54039, 77729, 65965, 50812, 52544, 54078, 54090, 60668, 68606, 52739, 50927, 51834, 50325, 50863, 54039, 50863, 52544, 50384, 53221, 53255, 55632, 50909, 50835, 51149, 50841, 51439, 50828, 51649, 50863, 54039, 50870, 52544, 52764, 54592, 50572, 51880, 66679, 79042, 56854, 55771, 64493, 50907, 51057, 51774, 51134, 51660, 51241, 51434, 51351, 72542, 51439, 50863, 52138, 50863, 52575, 50961, 53281, 51314, 52892, 52147, 68153, 58071, 60668, 79042, 65442, 56010, 59365, 62311, 50909, 50828, 51149, 50841, 51439, 50891, 51439, 50828, 52138, 50863, 52575, 55060, 58071, 60668, 62004, 54964, 51439, 50870, 51439, 50820, 52138, 50863, 52138, 50820, 52575, 55060, 68727, 54995, 61320, 68606, 54252, 50909, 50839, 51149, 50839, 51439, 50891, 51439, 50828, 52138, 50863, 52575, 55146, 52668, 68607, 58701, 61944, 53049, 51069, 50949, 51439, 50870, 52138, 50825, 52544, 51286, 51289, 51880, 74411, 79913 ]

[ 0, 250, 765, 8, 15352, 30054, 3495, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 3152, 6757, 6, 13305, 6, 3741, 27374, 594, 6, 17605, 9590, 6, 8, 32909, 6, 70, 29354, 561, 7, 1045, 10, 32076, 8, 17627, 17274, 6711, 6, 19, 5, 20299, 24826, 198, 10, 272, 119, 406, 6, 272, 119, 401, 6, 211, 406, 6, 8, 230, 406, 33215, 13931, 11, 5, 762, 9, 272, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50799, 50642, 53480, 50952, 50418, 52724, 65023, 53252, 56382, 52230, 62815, 52118, 56080, 52661, 53402, 52360, 68563, 51085, 50810, 51120, 50940, 51234, 50834, 60748, 50810, 63596, 50940, 69576, 64562, 51315, 50897, 76302, 50897, 50441, 51050, 50800, 62965, 58350, 51026, 50800, 57969, 50800, 52661, 50878, 50443, 51027, 50859, 57523, 54811, 50997, 50940, 56452, 50940, 50445, 50900, 50858, 56170, 63774, 50899, 50859, 55017, 50859, 53276, 50952, 50447, 68134, 55209, 60972, 50871, 50859, 64782, 54609, 50859, 53455, 69458, 59836, 52949, 53484, 67944, 53503, 50910, 53328, 67098, 56251, 52301, 73170, 66638, 51914, 53987, 72370, 51953, 64998, 66695, 51859, 50808, 52360, 50878, 50455, 60003, 51676, 51754, 74964, 51617, 63848, 51081, 50809, 52317, 58839, 51062, 50887, 51829, 50887, 54548, 71428, 69784, 51982, 59342, 51430, 50841, 52328, 58660, 51339, 50841, 52463, 50841, 50799, 53117, 50950, 53482, 50809, 56322, 50950, 55532, 50914, 52360, 50833, 53074, 50808, 54122, 50808, 50964, 51747, 53277, 50586, 53174, 50415, 51206, 51307, 50422, 51579, 50830, 51579, 50921, 52357, 51492, 54753, 51492, 51866, 55889, 52067, 50910, 52067, 50910, 53482, 51541, 52118, 50859, 52360, 50941, 50964, 51294, 52148, 56411, 78137, 52629, 51033, 52629, 51033, 52724, 50971, 52194, 64543, 52724, 55924, 60349, 51552, 50446, 52629, 50948, 52629, 50948, 54664, 50884, 52760, 50833, 52230, 50844, 52345, 50862, 52194, 56780, 52843, 52067, 50925, 52067, 50925, 55151, 50862, 52148, 65737, 51579, 50857, 51579, 50857, 53394, 50846, 54470, 50841, 51866, 54742, 50851, 50799, 53954, 50806, 53954, 50806, 61290, 50865, 53252, 50910, 52118, 50977, 52488, 52420, 73050, 53480, 53272, 51579, 50800, 51579, 50800, 52067, 50822, 52067, 50822, 53508, 50864, 53874, 50904, 51866, 50800, 52148, 53832, 59880, 55151, 50813, 52230, 50812, 52345, 56873, 52877, 51579, 50936, 51579, 50936, 53480, 50864, 51866, 55404, 55250, 53174, 50446, 52067, 50858, 52067, 50858, 53394, 50884, 53480, 50828, 50945, 50846, 52148, 53474, 54004, 55151, 50849, 52230, 50952, 52360, 50854, 51186, 64210, 61981, 54664, 50864, 51133, 53352, 50907, 50799, 53482, 50904, 55532, 51391, 50964, 53579, 66553, 51579, 50855, 51579, 50855, 51866, 54156, 52067, 50830, 52067, 50830, 53482, 51661, 52118, 50921, 52360, 50977, 50964, 51496, 52148, 53071, 78137, 52629, 51033, 52629, 51033, 52724, 50857, 52194, 64543, 55151, 50959, 52724, 53966, 54996, 52369, 50446, 52629, 51033, 52629, 51033, 54664, 50812, 52230, 50833, 52345, 50942, 52194, 62567, 54276, 52067, 50897, 52067, 71482, 55588, 62705, 51579, 50813, 51579, 50813, 53508, 50828, 54470, 50834, 51866, 53352, 50864, 50799, 52629, 50911, 52629, 50911, 61290, 50936, 53252, 50897, 52118, 50977, 52194, 55195, 54156, 51339, 50809, 51814, 50894, 52463, 50809, 53329, 53056, 50904, 53924, 55381, 51487, 51573, 52836, 51573, 50804, 60349, 53174, 53526, 52843, 51814, 50859, 55151, 51101, 53329, 50859, 52360, 50800, 53074, 50858, 54122, 50830, 51186, 53543, 71529, 51146, 50940, 51405, 50833, 54664, 50886, 51982, 50940, 53426, 50833, 52360, 50851, 53074, 50857, 54122, 50854, 51133, 54597, 50851, 65578, 50806, 51579, 50806, 53482, 50859, 55532, 50905, 65648, 51866, 52090, 66685, 52067, 50830, 52067, 50830, 51062, 50940, 51829, 50940, 52148, 53244, 53482, 51226, 52118, 51851, 52345, 51258, 52360, 51123, 52779, 50941, 50964, 52195, 50798, 68624, 52629, 50821, 52629, 50821, 52724, 50834, 52194, 52877, 54664, 50938, 52724, 53966, 55681, 53174, 50446, 52629, 50800, 52629, 50800, 54664, 50846, 52230, 50897, 52345, 50925, 52194, 51907, 54596, 52067, 50942, 52067, 50942, 55151, 50955, 52724, 50886, 52148, 57990, 57461, 51579, 51000, 51579, 51000, 53394, 50841, 54470, 50864, 51866, 58652, 50912, 50799, 52629, 50948, 52629, 50948, 57971, 50987, 53252, 50854, 52118, 51008, 52194, 57603, 58745, 53508, 50841, 53480, 60705, 59197, 51579, 50834, 51579, 50834, 52067, 50854, 52067, 50854, 55151, 51074, 53874, 50841, 51866, 50834, 52148, 53590, 59880, 54664, 50942, 52230, 50858, 52345, 53661, 52877, 51579, 50879, 51579, 50879, 53394, 50941, 53480, 50867, 51866, 53543, 61551, 52311, 50446, 52067, 50897, 52067, 50897, 53508, 50809, 53480, 50818, 52148, 55588, 54276, 55151, 50873, 52230, 50830, 52360, 50941, 51186, 54581, 57459, 51579, 50855, 51579, 50855, 54664, 50904, 52118, 50864, 51133, 50808, 51866, 54345, 50844, 50799, 55558, 50921, 55558, 50921, 53482, 50855, 55532, 51542, 53874, 51576, 69126, 53397, 56728, 56818, 57317, 50952, 57317, 50952, 53572, 58063, 54654, 57238, 50830, 57238, 50830, 69784, 51430, 51682, 50334, 51954, 50335, 51286, 52052, 51388, 53482, 51016, 51982, 50800, 52328, 50862, 54488, 50904, 52836, 51286, 55193, 51388, 52118, 50808, 52360, 50917, 50964, 51285, 53192, 53071, 57083, 67580, 50882, 67580, 50882, 52724, 50864, 55495, 54092, 55108, 61477, 51030, 61477, 51030, 55151, 50878, 52724, 50839, 53459, 67451, 53174, 50446, 51579, 50839, 51579, 50839, 59179, 51339, 50858, 51814, 50930, 54664, 50812, 51829, 50800, 52463, 50858, 53329, 50930, 52230, 50942, 52345, 50917, 51866, 53966, 53153, 55558, 50936, 55558, 50936, 53397, 55404, 58892, 50931, 70789, 50884, 53508, 50846, 51859, 50825, 51676, 50884, 54470, 53784, 50822, 50799, 52629, 50936, 52629, 51919, 50330, 51175, 51787, 50950, 51487, 50805, 52052, 51354, 61290, 50940, 51982, 51175, 54488, 50950, 52836, 50805, 55193, 51354, 53252, 50952, 52118, 50897, 52194, 59872, 57257, 53480, 54504, 76531, 51339, 50808, 51814, 50808, 51829, 50910, 52463, 50808, 53329, 50808, 53874, 53871, 68974, 51579, 50829, 51579, 50829, 53276, 50921, 53074, 50858, 51866, 55018, 54728, 61477, 51021, 61477, 53318, 50326, 51175, 51405, 51160, 51487, 51427, 55151, 50805, 52317, 51175, 53426, 51160, 52836, 51427, 52661, 50867, 53459, 57361, 53816, 51045, 50446, 54664, 50925, 53480, 54499, 54596, 57238, 50911, 57238, 52370, 50325, 50830, 51146, 51828, 50333, 50893, 53394, 51110, 51617, 50830, 51982, 50865, 52463, 50893, 52779, 50952, 53328, 50941, 53074, 51126, 71597, 53192, 54780, 71529, 55151, 50878, 51019, 54806, 50886, 50799, 55558, 52266, 55558, 52266, 50951, 51215, 51220, 50882, 51062, 51644, 50331, 51192, 53394, 50800, 54664, 51128, 51676, 51215, 52333, 50882, 51829, 50905, 53426, 51192, 54470, 51204, 64628, 53397, 52266, 50798, 62553, 59980, 51206, 51353, 50426, 50951, 71506, 50867, 53394, 51290, 51676, 50862, 51829, 50867, 52661, 50808, 53276, 50952, 50945, 64418, 60661, 52118, 53945, 57971, 50879, 53252, 54499, 55250, 53174, 50446, 50951, 50828, 51062, 50840, 54664, 50833, 51676, 50828, 51829, 50840, 52118, 50941, 52345, 51000, 52360, 57990, 54596, 57238, 50948, 57238, 50948, 61290, 50925, 53192, 56780, 57459, 52629, 50940, 52629, 50940, 50876, 50834, 55151, 50841, 52301, 50834, 53480, 50846, 52194, 56956, 50813, 56807, 50846, 51062, 56164, 50299, 50822, 51676, 50846, 51829, 50800, 53252, 50952, 52360, 53834, 50858, 53951, 57203, 54664, 50834, 52724, 59606, 56585, 50931, 50841, 51081, 57234, 50295, 50830, 51859, 50841, 52317, 50809, 52230, 50833, 52360, 53497, 55381, 53252, 54742, 56593, 53174, 76495, 50818, 55151, 50841, 53503, 52572, 54105, 72367, 51081, 51173, 61290, 50924, 51859, 50940, 52317, 51173, 52118, 50854, 52360, 50910, 52053, 59872, 66767, 51579 ]

[ 0, 713, 8787, 5175, 8, 3495, 15229, 11, 83, 3694, 22750, 1626, 11098, 8, 1007, 149, 63, 15352, 30054, 12049, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 20, 10170, 1499, 8, 6755, 12547, 185, 5, 483, 6, 2800, 30, 5, 21979, 9590, 6, 13305, 6, 8, 21072, 6, 70, 11491, 13871, 561, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 19, 5, 40286, 381, 8, 1918, 16331, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50433, 53105, 51010, 50439, 52368, 51010, 50445, 51871, 50950, 50451, 51691, 50950, 50454, 51871, 51138, 50457, 51691, 51045, 50460, 51908, 50950, 51601, 51666, 50950, 50421, 52619, 51541, 50422, 51216, 51310, 51113, 57912, 50801, 65001, 51873, 51541, 52393, 51090, 50428, 51040, 65802, 61540, 50820, 51488, 56869, 51266, 56869, 50852, 63329, 57577, 52498, 50882, 51666, 51033, 50440, 51273, 77704, 57035, 50878, 57634, 51107, 54386, 51201, 54386, 52219, 51002, 66794, 50843, 52101, 51601, 51873, 50882, 50416, 51216, 52415, 50305, 58628, 50810, 56756, 51113, 68086, 51488, 68086, 51266, 68086, 52219, 51002, 63024, 51871, 50882, 50428, 51868, 52415, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 50439, 51908, 50882, 50440, 51984, 52415, 50305, 58628, 76146, 53095, 53474, 66794, 52393, 50882, 50452, 51493, 51741, 50305, 58628, 76146, 53095, 55509, 63329, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51216, 52415, 50305, 58628, 76146, 53095, 53474, 70038, 51873, 51286, 50427, 51988, 50930, 50428, 51868, 52415, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 50433, 51873, 68749, 53094, 51090, 50440, 51984, 52415, 50305, 58628, 76146, 53095, 53474, 66794, 51873, 51566, 50452, 51216, 51741, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 51873, 54092, 50907, 50416, 51273, 77704, 57035, 50810, 56756, 51113, 68086, 51107, 68086, 51201, 68086, 52219, 51002, 63024, 52368, 50882, 50428, 51140, 77704, 57035, 76146, 55309, 50366, 51015, 53474, 68099, 51691, 50930, 50440, 51216, 77704, 57035, 76146, 53095, 53474, 66794, 51666, 50882, 50452, 52419, 61849, 57035, 76146, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51273, 77704, 57035, 76146, 53095, 53474, 65290, 51873, 51286, 50428, 51988, 50930, 51140, 77704, 57035, 60951, 55309, 50366, 51015, 53474, 65053, 51873, 50882, 50440, 53094, 51566, 51216, 77704, 57035, 60951, 53095, 53474, 80135, 51873, 51566, 51273, 61849, 57035, 76146, 55309, 50366, 51015, 53474, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51873, 50882, 51216, 52415, 50305, 58628, 50810, 56756, 51113, 68086, 51488, 68086, 51266, 68086, 52219, 51002, 78950, 51871, 50930, 51868, 52415, 50305, 58628, 60951, 55309, 50366, 51015, 53474, 50854, 50440, 51908, 50930, 51984, 52415, 50305, 58628, 76146, 53095, 53474, 80135, 52393, 50882, 51493, 51741, 50305, 58628, 60951, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51216, 52415, 50305, 58628, 60951, 53095, 53474, 65290, 51873, 51090, 50428, 51868, 52415, 50305, 58628, 76146, 55309, 50366, 51015, 53474, 65053, 51988, 75719, 51873, 50930, 50440, 53094, 51566, 51984, 52415, 50305, 58628, 60951, 53095, 53474, 80135, 51873, 51500, 51493, 51741, 50305, 58628, 76146, 53095, 53474, 59301, 51269, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51873, 50930, 51273, 77704, 57035, 50810, 56756, 51113, 68086, 51107, 68086, 51201, 50362, 50412, 52219, 51002, 78950, 52368, 50930, 51140, 77704, 57035, 76146, 53095, 53474, 59301, 51269, 50440, 51691, 50930, 51216, 77704, 57035, 76146, 53095, 53474, 80135, 51666, 50882, 52419, 61849, 57035, 76146, 55309, 50366, 51015, 53474, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51273, 77704, 57035, 76146, 53095, 53474, 65290, 51873, 50911, 50428, 51988, 50882, 51140, 77704, 57035, 76146, 55309, 50366, 51015, 53474, 65053, 51873, 50930, 50440, 53094, 51566, 51216, 77704, 57035, 76146, 53095, 53474, 80135, 51873, 51566, 51273, 61849, 50813, 59289, 56756, 51600, 56869, 50843, 50366, 51015, 53474, 50854, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51994, 51090, 51098, 77704, 50813, 56437, 60834, 51165, 68086, 51107, 68086, 51182, 68086, 52219, 51002, 78950, 51666, 50882, 51261, 77704, 50813, 56437, 50906, 55309, 50366, 51015, 53474, 50854, 50440, 52393, 50882, 51389, 77704, 73045, 53095, 53474, 62079, 60834, 50452, 51666, 50882, 51273, 51312, 70798, 50861, 55309, 50366, 51015, 53474, 57622, 60834, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51098, 77704, 73045, 53095, 53474, 60685, 50906, 59946, 52393, 51427, 50428, 51261, 77704, 73045, 55309, 50366, 51015, 53474, 57544, 50906, 52658, 51666, 51033, 50436, 52393, 51033, 50440, 51666, 51500, 51389, 77704, 73045, 53095, 53474, 62079, 60834, 50452, 51908, 51566, 51098, 61849, 62614, 55309, 50366, 51015, 53474, 57622, 60834, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 52498, 51090, 51273, 77704, 62221, 50810, 51113, 68086, 51107, 68086, 51201, 68086, 52219, 51002, 60685, 50877, 61822, 51666, 50882, 51140, 77704, 62221, 55309, 50366, 51015, 53474, 57544, 56756, 50440, 52393, 50882, 51216, 77704, 57035, 53095, 53474, 62079, 56756, 50452, 51666, 51033, 52419, 51312, 50899, 57035, 55309, 50366, 51015, 53474, 57622, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51273, 77704, 57035, 53095, 53474, 60685, 56756, 50422, 52393, 51286, 50428, 51666, 50930, 51140, 77704, 57035, 55309, 50366, 51015, 53474, 57544, 56756, 50434, 52393, 50930, 50440, 51666, 51090, 51216, 77704, 57035, 53095, 53474, 62079, 56756, 50452, 51908, 51090, 51273, 61849, 57035, 53095, 53474, 59301, 51269, 50453, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51873, 50882, 51216, 52415, 50305, 58628, 50810, 51113, 68086, 51488, 68086, 51266, 68086, 52219, 51002, 60685, 56756, 50428, 51908, 50882, 51868, 52415, 50305, 58628, 55309, 50366, 51015, 53474, 57544, 56756, 50440, 52183, 50882, 51984, 52415, 50305, 58628, 53095, 53474, 62079, 56756, 50452, 51908, 51033, 51493, 51741, 50305, 58628, 53095, 55509, 63329, 57622, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51216, 52415, 50305, 58628, 53095, 53474, 60685, 56756, 50421, 51691, 50930, 52939, 70838, 51871, 51030, 50428, 51691, 51030, 51868, 52415, 50305, 58628, 53095, 55509, 63329, 57544, 56756, 50434, 51908, 50911, 50440, 51666, 51090, 51984, 52415, 50305, 58628, 53095, 53474, 62079, 56756, 50452, 52393, 51566, 51216, 51741, 50305, 58628, 53095, 53474, 59301, 51269, 50453, 56756, 54124, 51123, 52198, 51550, 55985, 51022, 56483, 51123, 55669, 51022, 50415, 50804, 50907, 50416, 51666, 50930, 51389, 77704, 57035, 50810, 51113, 56869, 51107, 56869, 51201, 56869, 52219, 51002, 60685, 56756, 50422, 51873, 51551, 51216, 51310, 50801, 50858, 50428, 52393, 51566, 51908, 51566, 51040, 50820, 51113, 56869, 51488, 56869, 51266, 56869, 50804, 55603, 51269, 50429, 50916, 61540, 62047, 51666, 51033, 51691, 50882, 51273, 77704, 50878, 51113, 54386, 51107, 54386, 51201, 54386, 52219, 51002, 62079, 57956, 56756, 50452, 50843, 52101, 51809 ]

[ 0, 250, 32076, 8, 15352, 30054, 11057, 2214, 4246, 10, 13602, 6757, 6, 21979, 9590, 6, 13305, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 21072, 6, 278, 11, 10, 2635, 155, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 3694, 6, 19, 10, 33215, 16739, 9, 230, 119, 6, 272, 406, 6, 230, 119, 6, 8, 163, 428, 406, 6, 2351, 10, 1372, 8, 20425, 6711, 19, 10, 11602, 9, 10, 2365, 8, 1619, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50622, 51034, 50640, 50426, 53281, 51907, 56675, 67757, 53603, 51907, 56675, 62500, 52892, 51907, 56675, 52877, 55463, 50807, 51150, 51654, 52997, 50821, 51034, 53952, 63161, 51244, 50931, 51244, 51147, 51047, 51062, 51148, 51461, 50889, 51728, 51104, 76749, 50426, 52892, 51907, 56675, 67757, 55463, 51907, 56675, 62500, 53952, 51907, 56675, 52877, 54676, 50807, 51150, 50805, 51577, 51002, 54250, 50373, 54945, 51034, 56676, 63057, 51490, 51001, 51490, 50951, 51244, 51062, 51535, 51461, 50889, 68803, 57396, 53220, 55463, 51907, 56675, 54250, 64370, 66434, 53952, 51907, 56675, 62500, 54676, 51907, 56675, 52877, 56676, 50807, 51150, 50805, 51577, 51002, 54250, 64370, 51051, 51034, 55561, 63161, 51314, 50931, 51080, 51147, 51145, 51062, 51244, 51461, 50889, 51577, 51104, 61605, 52654, 53952, 51907, 56675, 54250, 56897, 72435, 54676, 51907, 56675, 62500, 56676, 51907, 56675, 52877, 55561, 50807, 51150, 50805, 51577, 51002, 54250, 64370, 50955, 51034, 60587, 55695, 51775, 51001, 51411, 51147, 51025, 51461, 50889, 51577, 51104, 64370, 50955, 53523, 55174, 50871, 53849, 50877, 53478, 51140, 61467, 62769, 51365, 50852, 72153, 58927, 51140, 51095, 51068, 57725, 51365, 50446, 51098, 52764, 50821, 51034, 51339, 50874, 51216, 57370, 59557, 51365, 50417, 51430, 53004, 51339, 56174, 51430, 53881, 51339, 51452, 51461, 74039, 51055, 50816, 51365, 68005, 51095, 51068, 77065, 51365, 51034, 51493, 57370, 77065, 70236, 54812, 50917, 51140, 52862, 60223, 69406, 54812, 50849, 51140, 57370, 51167, 50816, 51365, 50444, 54414, 50849, 51098, 50805, 51034, 53250, 50897, 51216, 63324, 51167, 50816, 70236, 54414, 50849, 51098, 52862, 72880, 51365, 50434, 51068, 56360, 54414, 50849, 51098, 52918, 60223, 51365, 50444, 53250, 50849, 51216, 50805, 51034, 53077, 51159, 51261, 52862, 53757, 70236, 54812, 51162, 51140, 74039, 60223, 51365, 53550, 77065, 51365, 51034, 50804, 77065, 70236, 54812, 50849, 51140, 61467, 72880, 51365, 50435, 51068, 57626, 54812, 51110, 51140, 63324, 60223, 51365, 50446, 54414, 50897, 51098, 50808, 51034, 53250, 50914, 51216, 70305, 53757, 70236, 54414, 50849, 51098, 52862, 60223, 69406, 54414, 51110, 51098, 64392, 51226, 50816, 51365, 50446, 53250, 50897, 51216, 50910, 51034, 53077, 51159, 51261, 51157, 51577, 51106, 70236, 53771, 50914, 51150, 78689, 72880, 51365, 50435, 51068, 50921, 53550, 60223, 51365, 51034, 50804, 60223, 51365, 50419, 50999, 51008, 50421, 78966, 50424, 50876, 53901, 50877, 51336, 53077, 51110, 51261, 65501, 60223, 51365, 50434, 54414, 56057, 53077, 64544, 51226, 50816, 51365, 50446, 53407, 50897, 51034, 50965, 50896, 53771, 51110, 51493, 51346, 51577, 51106, 69280, 53077, 50897, 54439, 51336, 53250, 51110, 51216, 51446, 50801, 72880, 51365, 50434, 54812, 68066, 51068, 56360, 53250, 64544, 60223, 51365, 50446, 53771, 50897, 51034, 50989, 50896, 53077, 51110, 51273, 70305, 53757, 69280, 53250, 50897, 54439, 51091, 54414, 50849, 51098, 65501, 60223, 51365, 53550, 51226, 50816, 51365, 79084, 59557, 70236, 54812, 50849, 51140, 78689, 72880, 51365, 50435, 51068, 56360, 54812, 51110, 51140, 63324, 60223, 51365, 50446, 54414, 50897, 51098, 50808, 51034, 53250, 50849, 51216, 57130, 53757, 70236, 54414, 50849, 51098, 74039, 60223, 69406, 54414, 51110, 51216, 64392, 51226, 50816, 51365, 50446, 54812, 50897, 51261, 50858, 51034, 55062, 51162, 51150, 51227, 51577, 51106, 70236, 56587, 51100, 51140, 80063, 51055, 50816, 51365, 53550, 72880, 51365, 50446, 51068, 50921, 51034, 50804, 54301, 69280, 51068, 53939, 53250, 50914, 51140, 57130, 51160, 50434, 55561, 50818, 56676, 50818, 53952, 50818, 55463, 53593, 51068, 56360, 57147, 51110, 51150, 55506, 50896, 50446, 53250, 50897, 51034, 57147, 51110, 51522, 57130, 72015, 53250, 55640, 54414, 50914, 51098, 57130, 50896, 50434, 54676, 50818, 53205, 50818, 53799, 52565, 55062, 50914, 51150, 55506, 51226, 51034, 54414, 50914, 52078, 78689, 66685, 51150, 52450, 53250, 50914, 51793, 57130, 51160, 50434, 56676, 50818, 53952, 50818, 55463, 50809, 52892, 53593, 51068, 56360, 57147, 50914, 51150, 60503, 50896, 50446, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 50818, 51034, 53250, 50914, 51522, 52862, 52247, 53777, 51159, 51930, 58546, 50896, 50430, 51261, 59979, 53205, 50818, 53799, 50818, 54801, 50818, 51098, 52599, 53777, 51162, 51560, 69362, 51226, 50446, 53205, 50818, 53799, 50818, 54801, 50818, 67834, 78689, 62991, 51098, 52450, 53250, 51159, 51140, 68393, 51160, 50434, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 53593, 51068, 50921, 50437, 57147, 78583, 51522, 55506, 50896, 50446, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 50818, 53250, 50812, 51034, 57147, 51110, 51098, 74039, 72015, 53250, 50812, 51140, 52450, 54414, 50914, 51150, 57130, 50896, 50434, 54676, 50818, 53205, 50818, 53799, 52565, 55062, 51159, 52078, 55506, 51226, 50446, 54676, 50818, 53205, 50818, 53799, 50818, 51034, 54414, 50914, 51150, 74039, 66685, 52078, 56382, 53250, 50914, 51793, 57130, 51160, 50434, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 53593, 51068, 50936, 57385, 55506, 50896, 50446, 56676, 50818, 53952, 50818, 55463, 50818, 52892, 50818, 57147, 50917, 51034, 53250, 50914, 51522, 57130, 52247, 53407, 51159, 51868, 57130, 50896, 50434, 59088, 50818, 53952, 50818, 55463, 52565, 53407, 51191, 51150, 55506, 51226, 50446, 59088, 50818, 53952, 50818, 55463, 50818, 78459, 57130, 52422, 59088, 51091, 56676, 51091, 53205, 51091, 53777, 51100, 51930, 74039, 51160, 50434, 51261, 65470, 51068, 56360, 54414, 51110, 51560, 55506, 50896, 50446, 59088, 50818, 56676, 50818, 53205, 50818, 53250, 50897, 51034, 55343, 51100, 51098, 74039, 72015, 54414, 50897, 51560, 56382, 53250, 50914, 51522, 70305, 50896, 50434, 55561, 50818, 56676, 50818, 55463, 52444, 54414, 51162, 51930, 55506, 51226, 51034, 53250, 50914, 51150, 74039, 66685, 51150, 56382, 53777, 50914, 51261, 57130, 51160, 50434, 59088, 50818, 56676, 50818, 53205, 53593, 51068, 56360, 55343, 50914, 51930, 73504, 50896, 50446, 59088, 50818, 56676, 50818, 53205, 50818, 51034, 54414, 50914, 51261, 74039, 72015, 51930, 52450, 53250, 50914, 51522, 57130, 50896, 50434, 55561, 50818, 56676, 50818, 55463, 52444, 53250, 50914, 51930, 55506, 51226, 50446, 55561, 50818, 56676, 50818, 55463, 50818, 68423, 74039, 62991, 51522, 52450, 54414, 51110, 51098, 57130, 51160, 50434, 55561, 50809, 54676, 50818, 53205, 50818, 57147, 68066, 51068, 56360, 55062, 51110, 51868, 60503, 50896, 50446, 55561, 50818, 54676, 50818, 53205, 50818, 54414, 50897, 51034, 57147, 51100, 51261, 74039, 72015, 55062, 50897, 51098, 56382, 57147, 51159, 51140, 57130, 50896, 50434, 55561, 50818, 56676, 50818, 53952, 50818, 53256, 52565, 55062, 51159, 51522, 60503, 51226, 50446, 55561, 50818, 56676, 50818, 55463, 50818, 51034, 56587, 51159, 51140, 74039, 66685, 51098, 52450, 55062, 50914, 51493, 57130, 51160, 50434, 55561, 50818, 54676, 50818, 53205, 53593, 51068, 56360, 56587, 50914, 51461, 60503, 50896, 50446, 55561, 50818, 54676, 50818, 53205, 57868, 51493, 51095, 51034, 60293, 66781, 72015, 51461, 56382, 56587, 50849, 51140, 51346, 50801, 53585, 51150, 55506, 51226, 67834, 70305, 52422, 51027, 50879, 54812, 51100, 51140, 78689, 53585, 51027, 51095, 54812, 51110, 51140, 63324, 51160, 68473 ]

[ 0, 250, 2635, 12, 20764, 3495, 3152, 657, 2214, 11, 381, 3694, 6, 4246, 3459, 8, 21979, 23674, 366, 6, 29589, 6, 8, 21072, 6, 19, 10, 15352, 30054, 8, 1372, 16464, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 10, 11602, 9, 1619, 4780, 6, 25, 24, 30853, 81, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 40286, 272, 6, 3676, 6, 8, 163, 119, 8165, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 50796, 50458, 51547, 61243, 51229, 51233, 50799, 52775, 52378, 53359, 51199, 52003, 51109, 51816, 51380, 50420, 51390, 50836, 53795, 51277, 50423, 51390, 79216, 53359, 51775, 52003, 51267, 52775, 52378, 51816, 51709, 50432, 53795, 54938, 53359, 51480, 52003, 51056, 52775, 52056, 51816, 51576, 50444, 53795, 73265, 53359, 51480, 52003, 51480, 52775, 52188, 51816, 51852, 50456, 53795, 71256, 51547, 61982, 51229, 51203, 50799, 53359, 51534, 53643, 51025, 52775, 51484, 51816, 52188, 50420, 53795, 51309, 50421, 51934, 60892, 51934, 51803, 50426, 53359, 51484, 53643, 51806, 52775, 51709, 51816, 51806, 50432, 53795, 70351, 53359, 51253, 53643, 50995, 52775, 51253, 51816, 59791, 53795, 66809, 53359, 51480, 53643, 51480, 52775, 51480, 51816, 51480, 50456, 53795, 51328, 50799, 53359, 51480, 52114, 51253, 52126, 51480, 51771, 51253, 50420, 56887, 51645, 50423, 51334, 52870, 51334, 50845, 51771, 51411, 52114, 51411, 53359, 51411, 52126, 71895, 56887, 70139, 51334, 52766, 51334, 50977, 53897, 51480, 53359, 51484, 52114, 51709, 52126, 51253, 51771, 51806, 50446, 51334, 62135, 51390, 67426, 53897, 51797, 53359, 51172, 52114, 51480, 52126, 51484, 51771, 51852, 50456, 51334, 51419, 50799, 55516, 51134, 53359, 51480, 52114, 51253, 51890, 51480, 51816, 51480, 50426, 51334, 51377, 51816, 52056, 53359, 51576, 52114, 52378, 51890, 51484, 50432, 55516, 55270, 51209, 59380, 51229, 72600, 55516, 51480, 53359, 51645, 52114, 52034, 51890, 51025, 51816, 52378, 50450, 55516, 51337, 53359, 51775, 52114, 51775, 51890, 51775, 51816, 51380, 50460, 51614, 51878, 50461, 51229, 51177, 51944, 52015, 50799, 53359, 51199, 52003, 51109, 51816, 51380, 50415, 51440, 51417, 50416, 51669, 51477, 50419, 51390, 52432, 53795, 51277, 50421, 51390, 68076, 53359, 51775, 52003, 51267, 52775, 52378, 51816, 51709, 50432, 53795, 54938, 53359, 51480, 52003, 51056, 52775, 52056, 51816, 51576, 51614, 52482, 50441, 51669, 63236, 53795, 51481, 51440, 51309, 50447, 51944, 53674, 50449, 51390, 54004, 53359, 51480, 52003, 51480, 52775, 52188, 51816, 51852, 51614, 52168, 50452, 51229, 56974, 53795, 50905, 51440, 52212, 50457, 51547, 51337, 50799, 53359, 51534, 53643, 51025, 52775, 51484, 51816, 52188, 50420, 51547, 50810, 53795, 51309, 50423, 51934, 53425, 51934, 51623, 53359, 51484, 53643, 51806, 52775, 51709, 51816, 51806, 50432, 53795, 70351, 53359, 51253, 53643, 50995, 52775, 51253, 51816, 50995, 51614, 79869, 51944, 51212, 51669, 63959, 53795, 51277, 52361, 75756, 53359, 51480, 53643, 51480, 52775, 51480, 51816, 51480, 51440, 51412, 50456, 53795, 51328, 51944, 51254, 50799, 53359, 51480, 52114, 51253, 52126, 51480, 51771, 51253, 51660, 51749, 50420, 56887, 51645, 50424, 51334, 52928, 51771, 51411, 52114, 51411, 53359, 51411, 52126, 51363, 52807, 67322, 51334, 51100, 50428, 52257, 52188, 50432, 56887, 50905, 52043, 69876, 51607, 51965, 50436, 51334, 52766, 51334, 51100, 53897, 51480, 53359, 51484, 52114, 51709, 52126, 51253, 51771, 51806, 51434, 54211, 50439, 51440, 54211, 50447, 51334, 54385, 51390, 50849, 53897, 51797, 53359, 51172, 52114, 51480, 52126, 51484, 51771, 51852, 50456, 51334, 51400, 50799, 55516, 51134, 53359, 51480, 52114, 51253, 51890, 51480, 51816, 51480, 51515, 52916, 51440, 53486, 50420, 53876, 51753, 50426, 51334, 51056, 51816, 52056, 53359, 51576, 52114, 52378, 51890, 51484, 52807, 51852, 50432, 55516, 55270, 51209, 50864, 52327, 51210, 50437, 51229, 76810, 55516, 51480, 53359, 51645, 52114, 52034, 51890, 51025, 51816, 52378, 52043, 51642, 50445, 51607, 51381, 50449, 51440, 52034, 50450, 55516, 51337, 53359, 51775, 52114, 51775, 51890, 51775, 51816, 51380, 50799, 51390, 50873, 51816, 51484, 52951, 51172, 51890, 51412, 52003, 51576, 52557, 62912, 51893, 50855, 55333, 51412, 51614, 53588, 50423, 51893, 51803, 50426, 51890, 51162, 51816, 51312, 52951, 51576, 52003, 51199, 54258, 68181, 55333, 51775, 52807, 51277, 50437, 51816, 79891, 52951, 51534, 52003, 51484, 51890, 51255, 52327, 52263, 50443, 55333, 51480, 50449, 52951, 51423, 52003, 51423, 50450, 51890, 51233, 51816, 51797, 51669, 52048, 50455, 55333, 65897, 56887, 51142, 50461, 51390, 51194, 50799, 56734, 51194, 53168, 51411, 55009, 51080, 52003, 52378, 51890, 51162, 52745, 51748, 51614, 76350, 52807, 55740, 54797, 50933, 50421, 51893, 55155, 52807, 74570, 51893, 51742, 50426, 56734, 51376, 53168, 51411, 52003, 51576, 51890, 51267, 52257, 66942, 52327, 67673, 56734, 51412, 51669, 66859, 51607, 52788, 55009, 51806, 52003, 52378, 51890, 51411, 53168, 51025, 51808, 68288, 56734, 68500, 51890, 51267, 53168, 51312, 55009, 52056, 52003, 51576, 51440, 51330, 50455, 56734, 70529, 51334, 65264, 51209, 62800, 51229, 50873, 51390, 51194, 50799, 52114, 51056, 52126, 51411, 51771, 51109, 51959, 51312, 51774, 51939, 51660, 75856, 51924, 51562, 51334, 51790, 53897, 51242, 52043, 51677, 52257, 51212, 50425, 51607, 75498, 51771, 51709, 51959, 51775, 52114, 51203, 52126, 51411, 50432, 53897, 70351, 51771, 51576, 52114, 51775, 52126, 51534, 51959, 51484, 50444, 53897, 78271, 51334, 51194, 51209, 51852, 52114, 51363, 52126, 51363, 51771, 51576, 51959, 65817, 53897, 50974, 50458, 51229, 62908, 51390, 60091, 51924, 51194, 79479, 51178, 53359, 51411, 52114, 51484, 52126, 51025, 51816, 51775, 50419, 51660, 52140, 51774, 52140, 50420, 56887, 51277, 50422, 51334, 56133, 51924, 53049, 51334, 51255, 51924, 51124, 52126, 51025, 51816, 51484, 53359, 51534, 52114, 51645, 52043, 51803, 52807, 51803, 50432, 56887, 50838, 51607, 51490, 50435, 51924, 50925, 52004, 58450, 51334, 51177, 51924, 51242, 51816, 51576, 53359, 51203, 52114, 51852, 52126, 51412, 51440, 67302, 56887, 71715, 51924, 70832, 51334, 65673, 51390, 69654, 51229, 51363, 53359, 51043, 52126, 51480, 51816, 51576, 52114, 52063, 50456, 56887, 70395, 79529, 51334, 50854, 50799, 51229, 50905, 51390, 50849, 53168, 51411, 55009, 51411, 52126, 51025, 51771, 51775, 50420, 51590, 51397, 51924, 51535, 63623, 51277, 51660, 52256, 52745, 52256, 50426, 53168, 51775, 51771, 51806, 55009, 51480, 52126, 51480, 52043, 51939, 52257, 51939, 50432, 63623, 51481, 51434, 52980, 51808, 51680, 50438, 53168, 51412, 55009, 51484, 51771, 52188, 52126, 51255, 51669, 51965, 50445, 63623, 60779, 51924, 50822, 51209, 50959, 51334, 50942, 53168, 51534, 55009, 52034, 52126, 51363, 51771, 51852, 52003, 51423, 50453, 51229, 51203, 51390, 51116, 51893, 51534, 79479, 51177, 51924, 51111, 52004, 51212, 53897, 51381, 52126, 51411, 51816, 51480, 51959, 51377, 52114, 51534, 50419, 52807, 51330, 50423, 51334, 50829, 51924, 50820, 52004, 53383, 52004, 51328, 51334, 51363, 51924, 51221, 51959, 51255, 52114, 51309, 52126, 51309, 51816, 51534, 52257, 51576, 50432, 53897, 50892, 52043, 51328, 50435, 52004, 50867, 51924, 50844, 52004, 54123, 51334, 50974, 51924, 51177, 52004, 51212, 56734, 51391, 51816, 51534, 51959, 51377, 52114, 51363, 52126, 51363, 51771, 51480, 51607, 51310, 50447, 51334, 50912, 51924, 50833, 52004, 56060, 51893, 51309, 51229, 51534, 51390, 51116, 51816, 51309, 51959, 51124, 52114, 51337, 52126, 51534, 51771, 51480, 50456, 56734, 60864, 51209, 50874, 51334, 50808, 51924, 50854, 50799, 65905, 51390, 50849, 51893, 50845, 52114, 51412, 52126, 51412, 51771, 51172, 52427, 51025, 53897, 51204, 50420, 51590, 51134 ]

[ 0, 250, 33928, 1619, 3495, 2214, 19, 13134, 16882, 6, 4246, 10, 25044, 139, 10170, 1499, 6, 2236, 1021, 2678, 29, 6, 6755, 12547, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 21979, 8669, 4, 20, 33301, 16, 278, 11, 5, 762, 9, 230, 538, 6, 19, 10, 7212, 20889, 9, 13955, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 2214, 18, 4798, 17130, 6910, 18224, 198, 5, 40286, 230, 8, 272, 406, 6, 2351, 10, 32076, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50450, 53424, 50866, 53424, 50866, 53539, 50978, 53539, 58695, 56533, 50835, 59986, 50982, 64119, 54719, 53062, 51174, 53062, 51174, 52635, 50974, 52635, 63097, 58272, 50863, 56032, 50870, 56875, 50870, 50799, 52860, 50971, 52860, 50971, 53424, 50864, 53424, 50864, 50964, 51121, 51299, 51748, 51301, 53588, 51165, 53588, 50816, 62128, 54200, 55454, 53738, 52860, 50867, 52860, 50867, 53424, 50857, 53424, 50857, 60301, 79293, 50868, 55897, 54640, 52917, 52860, 50813, 52860, 50813, 53424, 50857, 53424, 50857, 50953, 69607, 55454, 53670, 52860, 50857, 52860, 50857, 53424, 50886, 53424, 50886, 60301, 74969, 50868, 55591, 55147, 54950, 50816, 53569, 52860, 50862, 52860, 50862, 53424, 50813, 53424, 50813, 50964, 53303, 55454, 53384, 52860, 50813, 52860, 50813, 53424, 50862, 53424, 50862, 50964, 60148, 50822, 79293, 50868, 55591, 55630, 53003, 53346, 50978, 53346, 50978, 52635, 50977, 52635, 50977, 50927, 57564, 55454, 53556, 53346, 50987, 53346, 50987, 53424, 50978, 53424, 50978, 51019, 50925, 50988, 50904, 79293, 50868, 55897, 55147, 55053, 50868, 50825, 73257, 50988, 61243, 51299, 52980, 50799, 52979, 51244, 52979, 51244, 53062, 51244, 53062, 51244, 50945, 51121, 51113, 52980, 51154, 52980, 50798, 55454, 53738, 50946, 50822, 59654, 50872, 55182, 55147, 50891, 52389, 56533, 55567, 68713, 50964, 51121, 67654, 54075, 50946, 50867, 59654, 50872, 55897, 54640, 54950, 50872, 50825, 60978, 50885, 56758, 51004, 53357, 57564, 56533, 53665, 52846, 52979, 51194, 52979, 51194, 50459, 53346, 50971, 53346, 65540, 50945, 51178, 51113, 53201, 50799, 52860, 50904, 52860, 50904, 51299, 53201, 51154, 52720, 50798, 62128, 54183, 52860, 50862, 52860, 75096, 50822, 58079, 50872, 55897, 54640, 52917, 52979, 50813, 52979, 50813, 50964, 69607, 55454, 53670, 53346, 50810, 53346, 70879, 50822, 59654, 50872, 55591, 55147, 52904, 52860, 50813, 52860, 77440, 69607, 55454, 53384, 52860, 50813, 52860, 66632, 50822, 58079, 50872, 55591, 55630, 53003, 52979, 51203, 52979, 51203, 50964, 69607, 55454, 53556, 50946, 50904, 58079, 50872, 63445, 55147, 55053, 53346, 50867, 53346, 60870, 52860, 50867, 52860, 50867, 50945, 51178, 51528, 55454, 53738, 52860, 50855, 52860, 50855, 50946, 50822, 59654, 50872, 55182, 55147, 52966, 53062, 50862, 53062, 50862, 50964, 69607, 55454, 53670, 53539, 50813, 53539, 66632, 50867, 59654, 50872, 55897, 54640, 54950, 50872, 50825, 60978, 50885, 52788, 54343, 50892, 54343, 50892, 50945, 69607, 55454, 53384, 50946, 50822, 59654, 50872, 55591, 55147, 57855, 51019, 57824, 53539, 51178, 53539, 68871, 55454, 53556, 70943, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 53062, 50886, 53062, 61561, 53424, 50867, 53424, 50867, 51301, 54171, 52534, 51121, 51299, 51748, 51165, 53588, 50798, 55454, 53738, 53424, 50857, 53424, 50857, 60301, 79293, 50868, 55897, 54640, 52917, 53424, 50862, 53424, 50862, 50953, 68871, 55454, 53670, 53424, 50857, 53424, 50857, 60301, 74969, 50868, 55591, 55147, 54950, 50816, 53569, 53424, 50862, 53424, 50862, 51133, 70811, 55454, 53384, 53424, 50862, 53424, 50862, 60301, 79293, 50868, 55591, 55630, 53003, 52635, 50866, 52635, 50866, 50953, 70811, 55454, 53556, 53424, 50838, 53424, 76108, 50904, 79293, 50868, 55897, 55147, 55053, 50868, 75466, 50864, 51037, 60863, 51299, 52482, 51154, 51884, 50799, 53062, 50904, 53062, 50904, 50945, 51221, 51113, 52063, 50798, 55454, 53738, 53062, 50857, 53062, 50857, 59654, 50872, 55182, 55147, 59509, 51251, 51884, 50426, 53424, 50873, 53424, 50873, 51019, 51221, 51301, 51884, 51375, 51753, 50798, 55454, 53670, 52635, 50974, 52635, 51681, 50300, 50867, 51042, 70137, 63445, 54640, 54950, 50816, 53569, 52860, 51753, 52860, 51753, 67362, 51113, 52519, 51299, 52519, 51154, 52519, 50798, 55454, 53384, 50964, 50937, 50946, 50822, 59654, 50872, 55591, 55147, 52846, 53904, 51212, 53904, 51212, 52979, 51412, 52979, 51412, 50927, 69607, 55454, 53556, 51019, 50925, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 53326, 50886, 53326, 50886, 53346, 50886, 53346, 61561, 51299, 52720, 51154, 52720, 51113, 53201, 50799, 52860, 54829, 52860, 54829, 52979, 52168, 52979, 52168, 50945, 68871, 62128, 53405, 50946, 50822, 58079, 50872, 55897, 54640, 52917, 50964, 69607, 55454, 50891, 52088, 51212, 51855, 67772, 50946, 50822, 59654, 50872, 55591, 55147, 59516, 51813, 50813, 52077, 61360, 51882, 51312, 51855, 51056, 53357, 69607, 55454, 53384, 50946, 50822, 58079, 50872, 55591, 55630, 60145, 52979, 51242, 52979, 51242, 53062, 51194, 53062, 72326, 50964, 69607, 55454, 53556, 50946, 50904, 58079, 50872, 63445, 55147, 58958, 53346, 50837, 53346, 50837, 53539, 50971, 53539, 65540, 54343, 52140, 54343, 52140, 52860, 52431, 52860, 52431, 52354, 68871, 55454, 53738, 50946, 50822, 59654, 50872, 55182, 55147, 59509, 51855, 51101, 52561, 71266, 50964, 68871, 55454, 53670, 50946, 50867, 59654, 50872, 55897, 54640, 59516, 52077, 54606, 50872, 50825, 60978, 59398, 52908, 50867, 53357, 53303, 55454, 50891, 52561, 51267, 53725, 75115, 70043, 50946, 50822, 59654, 50872, 55591, 55147, 52846, 53424, 51178, 53424, 51178, 53539, 51337, 53539, 51337, 51019, 57564, 55454, 53556, 70943, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 52635, 50941, 52635, 50941, 53062, 50904, 53062, 60863, 51301, 51748, 51165, 51671, 51299, 51748, 50799, 52860, 50904, 52860, 50904, 53424, 50867, 53424, 50867, 50964, 68871, 55454, 53738, 52860, 50857, 52860, 50857, 53424, 50867, 53424, 50867, 60301, 79293, 50868, 55897, 54640, 52917, 52860, 50857, 52860, 50857, 53424, 50867, 53424, 50867, 50953, 70811, 55454, 53670, 52860, 50867, 52860, 50867, 53424, 50886, 53424, 50886, 60301, 74969, 50868, 55591, 55147, 54950, 50816, 53569, 52860, 50867, 52860, 50867, 53424, 50857, 53424, 50857, 51133, 69472, 55454, 53384, 52860, 50987, 52860, 50987, 53424, 50987, 53424, 50987, 60301, 79293, 50868, 55591, 55630, 53003, 53346, 51006, 53346, 51006, 52635, 50978, 52635, 50978, 50964, 68871, 55454, 53556, 53346, 50959, 53346, 50959, 53424, 50977, 53424, 50977, 50988, 50904, 79293, 50868, 55897, 55147, 55053, 50868, 50825, 73257, 69644, 50799, 52979, 50904, 52979, 50904, 53062, 50886, 53062, 50886, 50945, 51178, 51299, 52059, 51154, 51753, 51113, 51753, 50798, 55454, 53738, 52979, 50959, 52979, 50959, 53062, 51058, 53062, 51058, 50946, 50822, 59654, 50872, 55182, 55147, 52966, 53424, 50864, 53424, 50864, 51019, 51178, 51251, 52059, 51301, 51884, 51375, 51481, 50798, 55454, 53670, 52635, 50857, 52635, 50857, 51396, 50867, 51042, 70137, 63445, 54640, 54950, 50816, 53569, 52979, 51797, 52979, 51797, 52860, 51337, 52860, 51337, 50945, 51178, 51299, 52407, 51113, 52407, 51154, 52598, 50798, 55454, 53384, 50946, 50822, 59654, 50872, 55591, 55147, 52846, 53904, 51242, 53904, 51242, 52979, 51194, 52979, 51194, 50964, 68871, 55454, 53556, 50946, 50822, 59654, 50872, 55897, 55630, 55053, 53326, 50829, 53326, 50829, 53346, 50867, 53346, 60870, 51299, 52720, 51154, 52720, 50799, 52860, 51314, 52860, 51314, 52979, 52015, 52979, 52015, 50945, 51178, 51113, 52720, 50798, 55454, 53738, 50946, 50822, 58079, 50872, 55897, 54640, 60931, 52088, 51177, 51855, 63559, 50964, 69607, 55454, 53670, 50946, 50822, 59654, 50872, 55591, 55147, 59516, 51813, 50867, 52077, 60633, 51855, 51003, 51882 ]

[ 0, 250, 20902, 8, 15352, 30054, 3495, 8, 5175, 24904, 6, 42, 765, 2214, 16, 278, 11, 230, 3694, 8, 3136, 23, 10, 182, 1769, 20889, 4, 20, 6168, 3540, 8, 3298, 30131, 483, 5, 33301, 6, 2800, 30, 3459, 9590, 6, 13305, 6, 8, 3459, 8669, 4, 85, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50643, 50796, 58402, 51639, 50802, 51099, 51274, 51308, 51274, 51133, 51520, 51331, 52244, 51275, 50802, 51133, 52010, 51510, 51973, 51639, 50802, 51133, 51520, 51331, 52119, 51275, 50824, 51144, 51685, 51308, 51685, 51186, 55886, 62922, 68309, 51331, 52284, 51153, 50824, 51186, 52010, 51618, 52116, 51186, 51520, 51331, 52163, 51308, 50802, 51186, 52010, 51621, 50803, 69296, 50802, 51561, 51274, 51512, 51274, 51325, 51520, 51331, 52244, 51308, 50802, 51325, 52010, 51510, 51973, 78368, 51325, 51520, 51331, 52119, 51308, 50824, 51198, 51685, 51099, 51685, 50953, 55886, 62922, 68309, 51331, 52284, 51099, 62455, 52010, 51618, 52116, 50953, 51520, 51331, 52163, 51308, 60011, 52010, 51621, 50803, 69296, 50802, 51144, 51469, 51099, 51469, 51133, 51520, 51331, 52244, 78368, 51133, 52010, 51510, 51973, 51153, 51029, 51133, 51520, 51331, 52119, 51133, 55886, 62922, 68309, 51331, 52284, 51144, 50802, 51133, 52010, 51618, 52116, 51099, 50802, 51133, 51520, 51331, 52163, 78368, 51133, 52010, 65100, 51685, 51099, 51685, 51153, 51407, 51133, 51520, 79154, 52244, 51133, 51052, 51973, 51133, 51520, 51331, 52119, 51133, 55886, 62922, 68309, 70055, 51572, 52284, 51232, 51274, 51099, 51274, 51153, 51029, 51133, 51779, 51331, 67501, 52116, 51133, 51520, 70055, 53061, 51331, 52163, 51133, 61901, 52198, 50802, 66301, 51160, 51153, 51160, 51435, 51160, 50964, 51520, 51331, 54024, 50852, 77797, 57951, 51436, 51156, 52801, 51099, 51160, 51153, 51160, 51435, 51160, 57946, 51973, 57951, 51436, 51156, 52119, 51099, 51685, 51153, 51685, 51435, 51685, 65960, 50860, 57951, 51265, 50811, 50760, 50307, 53236, 51331, 62922, 52057, 65960, 50976, 57951, 51436, 50811, 50760, 50307, 54589, 53609, 51265, 52940, 50964, 52010, 50446, 56496, 50976, 50760, 50309, 72992, 51436, 51156, 52116, 50964, 51779, 51331, 58268, 54650, 50976, 50760, 50311, 58954, 50964, 52010, 51621, 50803, 50799, 53602, 51029, 57951, 50760, 50314, 55115, 52244, 51099, 51160, 51153, 51160, 51435, 51160, 57951, 51436, 51670, 51331, 66245, 51973, 57951, 51436, 51156, 53300, 51099, 51160, 51153, 51160, 51435, 62233, 52030, 53602, 51072, 57951, 51265, 50811, 50760, 50314, 60396, 62922, 52057, 51099, 51196, 51153, 51196, 51435, 51196, 57951, 51436, 51670, 51331, 53609, 51265, 52940, 52795, 51072, 57951, 76137, 60396, 52911, 51436, 51156, 52116, 50964, 51779, 51331, 52163, 54650, 50860, 57951, 50760, 50311, 52715, 63295, 50803, 50799, 54650, 51029, 60264, 50760, 50311, 57520, 51331, 52244, 51119, 51274, 51275, 51552, 51516, 51552, 60264, 51223, 51156, 52801, 57946, 51973, 60264, 51223, 51156, 52119, 54019, 50811, 60264, 51195, 50811, 74774, 51670, 51331, 52674, 54650, 50811, 50760, 50311, 51156, 52057, 51119, 51196, 51275, 51527, 51435, 51527, 56496, 54217, 60264, 51265, 50811, 50760, 50309, 54217, 50791, 52284, 60264, 51368, 51156, 52911, 51265, 51156, 52116, 50927, 51779, 51331, 52163, 50927, 52010, 51621, 50803, 66301, 51160, 51153, 51460, 51489, 51460, 50927, 52010, 50420, 60264, 51223, 51670, 51331, 52801, 51119, 51226, 51275, 51573, 51435, 67116, 51973, 60264, 51223, 51156, 53300, 50798, 52030, 60264, 51195, 51156, 62922, 52057, 51119, 50821, 51275, 50821, 51435, 50821, 60264, 51265, 51670, 51331, 53609, 63439, 61565, 51435, 51918, 60264, 51368, 51156, 52911, 51119, 50806, 51275, 50806, 51435, 64518, 51156, 52116, 50927, 51779, 51331, 53532, 51119, 50806, 51275, 50806, 51435, 50806, 51368, 52884, 50927, 52010, 50459, 51119, 50821, 51275, 50821, 51435, 50821, 51265, 51156, 50803, 50799, 51435, 50806, 51099, 51274, 51153, 51274, 50964, 51520, 51331, 52244, 75916, 57951, 51436, 51156, 52801, 57946, 51973, 51308, 50806, 57951, 51436, 51156, 52119, 51099, 51685, 51153, 51685, 51435, 51685, 65960, 50860, 57951, 51265, 50811, 50760, 50307, 53236, 51331, 62922, 52057, 65960, 50976, 57951, 51436, 50811, 50760, 50307, 54589, 53609, 51265, 52940, 50964, 52010, 50446, 56496, 50976, 50760, 50309, 72992, 51436, 51156, 52116, 50964, 51779, 51331, 58268, 54650, 50976, 50760, 50311, 58954, 50964, 52010, 51621, 50803, 66301, 50806, 51153, 50806, 53602, 51029, 57951, 50760, 50314, 55115, 52244, 51099, 51160, 51153, 51160, 51435, 51160, 57951, 51436, 51670, 51331, 66245, 51973, 57951, 51436, 51156, 53300, 51099, 51160, 51153, 51160, 51435, 62233, 52030, 53602, 51072, 57951, 51265, 50811, 50760, 50314, 60396, 62922, 52057, 51099, 51196, 51153, 51196, 51435, 51196, 57951, 51436, 51670, 51331, 53609, 51265, 52940, 52795, 51072, 57951, 76137, 60396, 52911, 51436, 51156, 52116, 50964, 51779, 51331, 52163, 52494, 50811, 57951, 68613, 51156, 52937, 53602, 50811, 50760, 50314, 51156, 50803, 50799, 51512, 51274, 51153, 51274, 51435, 51274, 52494, 51795, 51325, 64826, 50318, 51795, 57946, 52244, 51325, 70784, 51156, 52801, 57946, 51973, 51325, 70784, 51156, 52119, 51512, 51196, 51153, 51196, 51435, 51196, 72381, 51223, 51670, 51331, 62922, 52057, 51325, 70784, 51156, 52284, 51325, 52010, 50447, 51195, 51156, 52116, 51325, 51779, 51331, 52163, 51512, 51274, 51153, 51274, 51639, 51274, 52795, 51009, 72381, 51223, 50811, 76137, 57838, 52937, 51195, 51156, 50803, 55563, 52010, 50420, 72381, 51223, 51670, 51331, 66245, 51973, 51512, 51274, 51153, 51274, 51639, 51274, 72381, 51223, 51156, 53300, 50798, 52030, 52795, 51072, 72381, 51436, 50811, 76137, 60396, 62922, 52057, 72381, 51223, 51670, 51331, 52284, 51308, 51090, 51275, 51090, 51435, 51090, 52494, 51072, 72381, 51436, 50811, 68613, 60396, 52911, 51223, 51156, 52116, 51325, 51779, 51331, 53532, 51223, 52884, 51512, 50806, 51153, 50806, 51639, 50806, 53042, 50811, 72381, 51436, 50811, 63745, 51156, 52937, 52307, 61611, 50811, 70679, 51156, 50803, 69378, 51685, 51099, 51469, 51308, 51469, 52203, 51407, 62645, 51223, 50811, 64038, 51407, 57946, 52244, 51105, 52010, 50423, 57946, 51973, 62645, 51436, 51156, 52119, 51105, 51520, 51331, 62922, 52057, 62645, 51436, 51156, 52284, 51099, 50911, 52494, 51072, 62645, 51436, 50811, 68613, 51072, 57946, 52911, 51368, 51156, 52116, 51308, 50911, 51105, 51779, 51331, 53532, 51368, 52884, 51275, 50911, 52307, 51072, 62645, 70679, 60396, 63295, 50803, 62673, 51552, 51119, 51552, 51153, 51552, 50927, 51520, 51331, 52244, 52795, 51072, 60264, 76137, 60396, 52801, 57946, 51973, 60264, 51265, 51156, 52119, 75118, 79092, 51153, 51016, 53602, 51072, 60264, 50760, 50314, 51072, 57946, 62922, 52057, 60264, 51265, 51156, 52284, 51144, 51141, 51119, 51141, 51119, 51343, 52795, 51072, 60264, 51265, 50811, 76137, 51072, 57946, 52911, 51425, 51156, 52116, 50927, 51779, 51331, 53532, 51425, 52884, 53602, 51407, 60264, 50760, 50314, 64811, 63295, 50803, 66301, 51527, 51308, 51527, 51275, 51527, 50953, 51520, 51331, 52244, 50953, 52010, 50423, 57946, 51973, 62313, 51368, 51156, 52119, 50953, 51520, 51331, 62922, 52057, 51099, 51160, 51308, 51160, 51275, 51160, 54650, 50975, 62313, 51265, 50811, 50760, 50311, 55188, 52284, 50953, 51520, 51331, 52911, 51308, 51160, 51275, 51160, 51435, 51160, 53602, 50975, 51436, 50811, 50760, 50314, 55188, 52116, 50953, 51779, 51331, 52163, 51561, 56073, 51512, 56073, 51153, 56073, 52795, 51184, 51325, 50993, 51223, 50811, 76137, 51184, 57946, 63295, 50803, 53028, 52244, 72381, 51223, 51670, 51331, 66245, 51973, 72381, 51436 ]

[ 0, 250, 20902, 3495, 2214, 4246, 10, 20535, 2810, 9, 32909, 6, 326, 5638, 18026, 6, 1515, 21305, 6, 8, 17465, 102, 6, 7513, 30, 10, 13305, 4, 8504, 11, 211, 538, 19, 10, 155, 73, 398, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 32076, 8, 20425, 5466, 4, 20, 33215, 16739, 9, 83, 406, 6, 211, 6, 83, 6, 211, 6, 8, 272, 401, 3639, 7, 63, 15352, 30054, 2868, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52323, 50625, 52076, 52323, 50973, 51003, 50427, 50973, 64632, 50876, 50845, 55331, 51452, 50424, 65113, 70265, 61335, 50861, 53450, 51026, 51172, 51086, 51172, 50899, 51172, 50861, 51363, 50435, 65113, 70265, 61335, 50861, 52691, 51026, 52019, 50303, 70276, 61087, 56306, 50951, 65295, 51114, 51203, 50459, 64075, 57289, 51452, 50424, 60906, 61022, 58219, 50877, 53450, 50900, 51172, 50916, 51172, 50861, 51172, 79725, 50435, 60906, 61022, 58219, 50877, 52691, 50900, 76371, 61087, 66920, 56306, 50951, 65295, 51114, 51203, 50459, 68319, 55331, 51452, 50424, 61335, 67668, 57472, 60215, 53337, 51172, 50989, 51172, 69541, 50876, 51363, 50435, 61335, 67668, 57472, 50876, 52691, 50899, 77245, 66920, 63348, 56306, 50968, 51101, 63932, 51203, 50459, 60215, 57844, 51047, 50423, 65113, 70265, 61335, 50861, 53450, 51026, 51484, 51086, 51484, 75099, 50861, 51480, 50436, 65113, 70265, 61335, 50861, 52691, 51026, 51260, 50303, 58754, 55332, 55103, 51487, 55125, 51787, 75997, 51487, 50800, 59733, 51977, 50424, 51027, 65860, 69303, 52710, 51027, 51255, 50899, 51255, 50989, 51116, 50435, 51027, 65860, 69303, 52841, 51027, 62649, 65593, 53218, 51487, 60866, 51787, 75997, 51487, 50808, 66302, 51977, 50424, 51026, 50854, 51086, 65860, 69538, 52450, 51026, 51255, 51086, 51255, 50899, 51255, 70135, 50435, 51026, 50854, 51086, 65860, 69538, 52841, 51026, 51734, 50303, 62649, 58532, 53218, 51487, 60866, 51787, 75997, 51487, 50808, 53975, 61027, 57094, 58800, 72386, 68282, 51430, 64002, 51405, 70900, 51430, 53402, 50623, 50899, 79322, 58887, 68800, 72438, 51062, 63707, 68465, 51220, 51221, 50902, 51412, 50459, 61524, 50999, 50854, 57448, 50973, 51803, 50951, 51675, 50423, 65113, 70265, 61335, 50861, 53450, 51026, 51484, 51086, 51484, 75099, 50861, 51480, 50436, 65113, 70265, 61335, 50861, 52691, 50619, 51026, 51260, 50303, 58754, 55332, 55103, 50625, 56213, 55260, 56213, 51215, 50459, 53250, 50859, 77632, 51977, 50424, 51026, 50822, 60501, 57660, 50973, 53906, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 59055, 75591, 56157, 53863, 55149, 55602, 51215, 50459, 53863, 50859, 79922, 51977, 50424, 51085, 50822, 63077, 57660, 62804, 50876, 53049, 51085, 51412, 50916, 51363, 50861, 51363, 79725, 77115, 50435, 51085, 50822, 63077, 57660, 62804, 50876, 54181, 51085, 72272, 58532, 60015, 59937, 60510, 53863, 55149, 55602, 51215, 50459, 53771, 50859, 77632, 51977, 50424, 51120, 73353, 69303, 50854, 62804, 50876, 52654, 51120, 51412, 50899, 51363, 50989, 51363, 79725, 77115, 50435, 51120, 50822, 60501, 50989, 79243, 50876, 54181, 51120, 67119, 67182, 60268, 59937, 56157, 53771, 55149, 53077, 51215, 50459, 53250, 50859, 50799, 56213, 51356, 50424, 51026, 50822, 60501, 57660, 50973, 53049, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 59055, 75591, 58141, 56213, 55149, 56213, 51215, 50459, 53250, 50859, 77632, 51977, 50424, 51026, 50822, 60501, 57660, 50973, 53906, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 59055, 75591, 56157, 53863, 55149, 55602, 51215, 50459, 53863, 50859, 50799, 54812, 51977, 50424, 51085, 50822, 63077, 57660, 50877, 53049, 51085, 51412, 50916, 51363, 50861, 51363, 50877, 51255, 50435, 51085, 50822, 63077, 57660, 50877, 54181, 51085, 72272, 59055, 60268, 50914, 50442, 54812, 70894, 56213, 51757, 53250, 80049, 53077, 57459, 53771, 50952, 77632, 51977, 50424, 51120, 50822, 60501, 50989, 79243, 50876, 53049, 51120, 51412, 50899, 51363, 50989, 51363, 79725, 77115, 50435, 51120, 50822, 60501, 50989, 79243, 50876, 54181, 51120, 67119, 67182, 60268, 59937, 50914, 50442, 53771, 57295, 53077, 58710, 54812, 80049, 50619, 53250, 57459, 56213, 50952, 57448, 55062, 51356, 50424, 51026, 50822, 60501, 57660, 50973, 53049, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 51026, 50822, 60501, 57660, 50973, 54181, 51026, 61849, 58532, 75591, 60510, 56213, 55149, 53771, 51215, 50459, 55602, 50859, 77275, 51977, 51315, 64233, 57094, 61622, 55035, 51315, 62430, 57864, 64449, 53264, 51324, 62035, 64813, 58800, 62879, 55945, 53863, 53794, 55602, 51215, 51324, 62035, 66199, 57254, 64449, 59097, 56213, 50859, 79922, 51977, 51315, 64233, 57094, 62879, 55035, 51315, 62430, 58399, 68219, 55306, 51315, 62430, 58399, 68219, 55322, 55602, 55149, 54985, 50952, 51315, 62430, 58399, 68219, 50873, 50454, 53863, 57459, 53771, 50952, 77632, 51977, 51378, 60318, 57069, 59374, 53466, 51378, 62035, 59389, 60756, 54233, 51120, 62035, 71274, 59389, 58007, 53969, 53077, 53794, 53771, 50952, 51120, 62035, 71274, 59389, 58007, 50873, 50454, 53077, 57459, 53250, 50952, 50799, 56213, 51356, 51026, 60318, 57348, 61622, 53466, 51026, 62035, 58399, 68219, 55306, 51026, 60318, 58399, 68219, 62617, 54812, 54721, 56213, 51215, 51026, 62035, 58399, 68219, 63007, 55343, 50859, 77632, 51977, 51378, 60318, 57069, 59374, 53466, 51378, 62035, 59389, 60756, 54233, 51315, 58127, 59389, 66289, 53969, 55343, 55149, 53077, 51215, 51315, 58127, 59389, 66289, 63007, 53771, 50859, 50799, 55602, 51977, 51120, 71274, 57069, 59374, 53466, 51120, 72169, 59389, 60756, 54233, 51026, 58399, 68219, 65064, 53969, 53771, 55149, 55602, 64325, 58127, 68219, 65064, 55345, 53863, 50879, 77632, 51977, 51027, 71274, 57069, 59374, 53466, 51027, 72169, 59389, 60756, 54233, 51279, 58127, 59389, 66289, 53969, 55343, 55149, 50619, 55602, 51238, 51279, 58127, 59389, 66289, 63007, 50625, 53771, 50859, 50799, 50619, 53077, 73988, 51734, 50294, 51148, 50989, 51148, 50877, 68537, 53250, 55695, 56509, 50625, 50444, 56213, 55260, 56213, 51175, 50459, 53250, 50858, 77632, 51685, 50424, 52135, 50822, 51979, 50822, 55291, 50822, 51026, 50822, 60501, 57660, 50973, 53906, 52135, 51337, 51979, 51337, 55291, 51337, 51026, 51412, 50899, 51363, 50861, 51363, 50973, 51255, 50435, 52135, 50822, 51979, 50822, 55291, 50822, 51026, 50822, 60501, 57660, 50973, 54181, 52135, 50981, 51979, 50981, 55291, 69836, 61849, 59055, 75591, 56157, 53863, 55260, 55602, 51175, 50459, 53863, 50858, 79922, 51685, 50424, 51643, 50822, 51979, 50822, 55291, 50822, 51085, 50822, 63077, 57660, 62804, 50876, 53049, 51643, 51337, 51979, 51337, 55291, 51337, 51085, 51412, 50916, 51363, 50861, 51363, 79725, 77115, 50435, 51643, 50822, 51979, 50822, 55291, 50822, 51085, 50822, 63077, 57660, 62804, 50876, 54181, 51643, 50981, 51979, 50981, 55291, 51741, 50292, 72272, 58532, 60015, 59937, 60510, 53863, 55260, 55602, 51175, 50459, 53771, 50858, 77632, 51685, 50424, 51643, 50822, 52891, 50822, 56167, 50822, 51120, 73353, 69303, 50854, 62804, 50876, 52654, 51643, 51337, 52891, 51337, 56167, 51337, 51120, 51412, 50899, 51363, 50989, 51363, 79725, 77115, 50435, 51643, 50822, 52891, 50822, 56167, 50822, 51120, 50822, 60501, 50989, 79243, 50876, 54181, 51643, 51363, 52891, 51363, 56167, 51363, 51120, 67119, 67182, 60268, 59937, 50914, 50442, 55343, 70089, 53077, 75250, 51643, 50822, 52891, 50822, 56167, 53140, 53771, 50940, 50454, 53077, 71208, 53250, 50940, 50799, 56213, 51196, 50424, 51652, 50822, 52228, 50822, 55291, 50822, 51026, 50822, 60501, 57660, 50973 ]

[ 0, 713, 8787, 15855, 15229, 6, 19, 4785, 9, 3495, 6, 16, 10, 2635, 8, 15352, 30054, 2125, 14, 7630, 6568, 10, 1472, 9, 11098, 8, 26545, 4, 85, 1575, 10, 5544, 10320, 1258, 217, 36075, 8669, 6, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 5730, 2342, 4467, 6, 70, 8216, 7, 63, 4066, 2369, 18795, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 272, 6, 1918, 6, 230, 6, 8, 272, 6, 2351, 10, 32625, 8, 2950, 5466, 14, 115, 2773, 465, 63, 317, 11, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 57342, 54994, 50872, 51631, 50850, 51736, 51007, 51646, 51149, 57679, 56027, 50850, 51798, 50872, 51923, 59792, 50799, 51257, 54180, 54994, 50850, 51631, 50872, 51736, 51257, 51646, 50935, 59687, 56027, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 56100, 50872, 51631, 50848, 51736, 50872, 53218, 50850, 51798, 50872, 51923, 52982, 61281, 54180, 50795, 67349, 52115, 52982, 51171, 50918, 61167, 51631, 50848, 50918, 61167, 56027, 51171, 69451, 50946, 52555, 51037, 51923, 50946, 50795, 58282, 50918, 61167, 50918, 57894, 51036, 55496, 51036, 55775, 56100, 50872, 51631, 50850, 51736, 51007, 51646, 51149, 57679, 50918, 50725, 50305, 56027, 50850, 51798, 50872, 51923, 59792, 50799, 51257, 54180, 50918, 67349, 50918, 57894, 50918, 55093, 51036, 55496, 56100, 50850, 51631, 50872, 51736, 51257, 51646, 50935, 59687, 50918, 50725, 50303, 56027, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 51036, 73407, 51036, 62582, 51036, 55093, 51036, 55496, 56100, 50872, 51631, 50848, 51736, 50872, 53218, 50850, 51798, 50872, 51923, 52982, 61281, 54180, 50795, 61167, 50795, 56048, 50795, 56547, 50795, 55693, 52115, 51171, 54314, 61167, 50795, 55093, 50795, 55496, 50795, 55775, 51631, 51171, 50918, 50848, 50918, 61167, 50918, 55093, 50918, 55496, 50918, 55775, 56811, 51171, 51923, 51217, 50795, 59008, 50918, 62582, 50918, 56048, 50918, 55496, 50918, 55775, 54994, 50946, 51631, 50885, 51736, 50850, 51646, 50935, 55963, 50918, 56783, 50918, 55093, 50918, 55693, 50918, 62611, 56027, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 50918, 61453, 50918, 55496, 50807, 57822, 50807, 56326, 53561, 50872, 51631, 52982, 55093, 50795, 55693, 50795, 56126, 51736, 72073, 57822, 51646, 50868, 50800, 51171, 50807, 57894, 50807, 55093, 50807, 55496, 50807, 55775, 58627, 50872, 51820, 50848, 51798, 51171, 51923, 51217, 50795, 69335, 50795, 56048, 50795, 55693, 50795, 56126, 50795, 61464, 59746, 50918, 62582, 50918, 56048, 50918, 55775, 50918, 56126, 54994, 50885, 51631, 50946, 51736, 50872, 51646, 56696, 51332, 50918, 69335, 50918, 56048, 50918, 55693, 50918, 56126, 56027, 50868, 51798, 50885, 51923, 56696, 57342, 72662, 58796, 50795, 56783, 50795, 56547, 50795, 55693, 50795, 56126, 55728, 50848, 54190, 60877, 51835, 74378, 50795, 56783, 50795, 55093, 50795, 62611, 50795, 56326, 51631, 50988, 50918, 50848, 50918, 50847, 50918, 50935, 50918, 56783, 50918, 55093, 50918, 62611, 50918, 56326, 56811, 51171, 51923, 51217, 50795, 59008, 50918, 62582, 50807, 56048, 50807, 55496, 50807, 55775, 53561, 50946, 51631, 50885, 50795, 62582, 50795, 55496, 50795, 55775, 50795, 56326, 51736, 50872, 50795, 62582, 50795, 56547, 50795, 55775, 50795, 56126, 51646, 50935, 55963, 50918, 56783, 50795, 56547, 50795, 55693, 50795, 56126, 51918, 53449, 56783, 50795, 55093, 50795, 55693, 50795, 62611, 51798, 52982, 56783, 50807, 56048, 50795, 55496, 50795, 55775, 51923, 50935, 50795, 61356, 50795, 55093, 50795, 55693, 50795, 63516, 56592, 50918, 61453, 50807, 55496, 50807, 57822, 50807, 56326, 53561, 50872, 51631, 52982, 61453, 50795, 55693, 50795, 57822, 50795, 61557, 51736, 72073, 56048, 50795, 55693, 50795, 56126, 50795, 60060, 51646, 50868, 50800, 51171, 50807, 55093, 50807, 55775, 50807, 56326, 50807, 61557, 58627, 50872, 51820, 50848, 51798, 51171, 51923, 51217, 50795, 60588, 50795, 59008, 50918, 62582, 50918, 55496, 50918, 56126, 50918, 66105, 54994, 50946, 51631, 50885, 51736, 50872, 51646, 50988, 50918, 56783, 50918, 55093, 50918, 62611, 50918, 60588, 56027, 50848, 51798, 50847, 51923, 50935, 50795, 62870, 54314, 50872, 54716, 57894, 50795, 55496, 50795, 55775, 50795, 56126, 52115, 51037, 54314, 50872, 54716, 61453, 50795, 55496, 50795, 57822, 50795, 56326, 51631, 51037, 50918, 50848, 50918, 50872, 71365, 50918, 61453, 50918, 55496, 50918, 57822, 50918, 56326, 56811, 53200, 52325, 53719, 50802, 57342, 50918, 61167, 50918, 52756, 54226, 50872, 51631, 72073, 53719, 52030, 51007, 50795, 53200, 52674, 53719, 60920, 51149, 57679, 50918, 50725, 50305, 56027, 50850, 51798, 50872, 72623, 53200, 54178, 59792, 50458, 53719, 50823, 50799, 51257, 54180, 50918, 67349, 50918, 52756, 52410, 72073, 52817, 54107, 50872, 51736, 68395, 52756, 52125, 50935, 59687, 50918, 50725, 50303, 50807, 53719, 52313, 53449, 53200, 52175, 52982, 52756, 52325, 50935, 50795, 52817, 50802, 63516, 56592, 51036, 73407, 51036, 53036, 54226, 50872, 51631, 52982, 52817, 52030, 50872, 50807, 52756, 52125, 53719, 52313, 72073, 53200, 63399, 50872, 51923, 52982, 50459, 53664, 50803, 61281, 75602, 50795, 67349, 50795, 53664, 52410, 51171, 54314, 50872, 50795, 61167, 50795, 53200, 63398, 51171, 50918, 50848, 50918, 50872, 50918, 61167, 56811, 53200, 52325, 53719, 50802, 57342, 50918, 61167, 50918, 57894, 51036, 55496, 51036, 55775, 51036, 52756, 54226, 50872, 51631, 72073, 53719, 52030, 51007, 50795, 53200, 52674, 53719, 60920, 51149, 57679, 50918, 50725, 50305, 56027, 50850, 51798, 50872, 72623, 53719, 54178, 59792, 50458, 53719, 50823, 50799, 51257, 54180, 50918, 67349, 50918, 57894, 50918, 55093, 51036, 55496, 51036, 52756, 54226, 50850, 51631, 50872, 50795, 52817, 52030, 68395, 52756, 52125, 50935, 59687, 50918, 50725, 50303, 50807, 56783, 50918, 53719, 53609, 53200, 53681, 50847, 51798, 52982, 50454, 52756, 54178, 50935, 59831, 52817, 50823, 63516, 56592, 51036, 73407, 51036, 62582, 51036, 55093, 51036, 55496, 51036, 53036, 54226, 50872, 51631, 52982, 52817, 52030, 50872, 50807, 52756, 52125, 53719, 53681, 50850, 51798, 50872, 50795, 53200, 52325, 52982, 53664, 50802, 61281, 75602, 50795, 67349, 50795, 56048, 50795, 56547, 50795, 55693, 50795, 53664, 52410, 51171, 54314, 50872, 50795, 61167, 50795, 55093, 50795, 55496, 50795, 55775, 50795, 53200, 51795, 50426, 51171, 50918, 50848, 50918, 50872, 50918, 61167, 50918, 55093, 50918, 55496, 50918, 55775, 56811, 51171, 51923, 51217, 50795, 59008, 50918, 62582, 54994, 50946, 51631, 50885, 50795, 52756, 52030, 72073, 53036, 52125, 50935, 55963, 50918, 56783, 50918, 52817, 57310, 50847, 51798, 50848, 51923, 50935, 50795, 63516, 56592, 50918, 56783, 50807, 52817, 64146, 50872, 51631, 52982, 56783, 52765, 62582, 50800, 52756, 52119, 72073, 69335, 50795, 53719, 52125, 50868, 50800, 51171, 50807, 62582, 50807, 52756, 56119, 50872, 51820, 52982, 53200, 52175, 51171, 50795, 53200, 52325, 51217, 50795, 56783, 50795, 53719, 50802, 61464, 59746, 50918, 57894, 50918, 52756, 52410, 50885, 50795, 52817, 52038, 50946, 50795, 52817, 52030, 50872, 50795, 52817, 52125, 56696, 51332, 50918, 56783, 50918, 52817, 52313, 50868, 50795, 52756, 52175, 50885, 50795, 53719, 52325, 56696, 53200, 50802, 57342, 72662, 58796, 50795, 67349, 50795, 53664, 56778, 50848, 54190, 60877, 51835, 74378, 50795, 61167, 50795, 53200, 63398, 50988, 50918, 50848, 50918, 50847, 50918, 50935, 50918, 61167, 56811, 51171, 50795, 53200, 52325, 51217, 50795, 53719, 50802, 59008, 50918, 62582, 50918, 56048, 50807, 52756, 54226, 50946, 51631, 50885, 50795, 55496, 50795, 53719, 52030, 50872, 50795, 56547, 50795, 53200, 52674, 53719, 52057, 50935, 55963, 50918, 56783, 50918, 56547, 50795, 53200, 63189, 53449, 55093, 51798, 52982, 56048, 72623, 53200, 54178, 50935, 50795, 61356, 59831, 53719, 50823, 63516, 56592 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 3744, 9382, 15, 13305, 11, 10, 7212, 155, 73, 306, 20889, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 24, 1575, 10, 33215, 13931, 9, 12608, 6, 2060, 6, 12608, 6, 8, 163, 428, 406, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 442, 24, 10686, 13, 10, 1144, 26016, 822, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 80054, 50443, 51001, 51380, 75795, 51709, 51034, 51503, 51203, 69980, 53130, 50316, 57499, 51001, 51542, 50876, 51679, 50900, 73143, 51197, 51253, 50444, 51001, 60250, 51199, 51034, 51503, 54177, 50965, 67220, 50959, 53523, 51419, 51001, 51534, 50427, 71477, 50438, 60215, 62094, 51197, 51534, 50444, 50965, 50933, 70688, 51034, 51001, 51318, 50876, 51477, 51503, 54644, 50956, 51210, 53523, 51419, 50956, 51254, 59409, 61257, 55666, 50965, 51484, 50876, 51480, 51197, 51480, 61614, 51051, 78031, 51484, 51001, 51480, 51503, 51058, 58097, 50984, 53523, 72831, 55100, 50956, 54584, 50965, 51524, 60215, 51197, 51534, 61614, 50907, 50876, 51524, 75107, 51034, 51503, 59316, 51365, 50876, 51365, 51147, 51412, 69980, 53536, 50316, 65933, 50951, 51391, 50956, 57648, 50965, 53096, 50876, 52460, 50438, 51197, 51481, 50444, 66771, 51034, 51503, 71227, 51221, 55902, 57800, 50317, 57070, 56759, 66985, 51043, 50431, 50861, 65252, 51028, 52731, 57267, 51753, 50906, 51233, 51197, 51775, 50444, 50965, 51884, 72917, 51034, 51503, 51962, 50317, 63211, 51645, 58097, 55752, 50997, 51542, 50861, 51852, 50906, 51233, 64551, 71113, 51197, 51534, 50861, 65273, 74458, 50965, 51753, 50956, 53536, 50316, 51101, 51034, 59362, 50906, 52454, 50317, 51807, 50288, 50978, 58097, 65721, 52688, 50997, 55665, 50956, 55505, 50311, 51376, 63808, 51242, 51197, 51484, 57428, 51365, 51028, 50905, 51034, 51503, 57945, 54644, 51028, 52101, 63207, 50931, 51121, 56040, 75514, 51400, 58319, 52179, 51028, 52462, 50438, 51197, 51277, 50951, 51377, 58365, 50912, 51028, 52462, 51034, 51503, 51008, 51147, 65516, 50965, 52179, 76232, 56040, 51576, 50900, 60539, 50965, 51365, 50876, 53269, 51176, 73793, 54746, 50900, 68804, 71328, 63903, 50942, 50449, 51360, 50825, 51176, 50867, 51034, 50965, 51022, 51028, 52462, 50415, 51147, 51417, 50871, 55394, 51028, 50984, 51040, 51142, 63006, 53645, 51210, 50965, 67673, 51040, 51142, 59362, 50965, 51832, 50438, 67364, 50931, 51101, 51360, 51534, 50444, 51028, 51121, 51040, 64470, 70941, 51503, 50825, 66041, 51034, 50965, 51022, 51001, 51397, 76945, 55394, 51176, 50912, 50965, 51269, 50900, 53220, 74094, 50956, 54150, 51176, 51051, 57846, 50965, 61389, 51197, 62697, 50849, 50443, 50965, 51645, 55513, 77964, 51210, 51034, 51503, 51775, 51028, 51003, 58097, 52167, 50861, 51862, 56759, 51419, 51001, 57173, 50871, 52179, 51028, 75594, 50931, 51400, 51197, 78369, 50906, 51022, 50861, 51269, 50447, 70688, 51034, 51503, 51423, 51001, 51562, 69980, 52179, 50876, 51862, 56040, 51412, 76567, 51269, 50876, 75594, 51176, 53130, 50312, 63280, 77460, 50900, 74265, 67572, 63155, 51360, 50835, 51176, 50867, 51034, 50965, 52101, 51028, 51269, 51147, 51417, 65882, 54448, 51028, 51862, 51040, 51051, 63006, 53645, 51142, 50965, 67673, 50965, 51022, 51040, 51210, 50871, 64147, 50965, 50933, 50931, 51458, 50293, 72379, 56963, 51040, 51764, 50317, 51177, 50448, 51503, 58914, 51197, 50864, 51034, 50965, 51365, 50415, 51001, 51397, 50900, 55394, 51176, 51051, 73630, 50965, 52179, 53523, 51051, 50956, 67673, 50965, 51269, 51176, 51210, 50900, 56180, 51197, 51484, 50876, 53999, 57846, 50956, 52179, 50965, 51212, 51034, 51503, 51337, 51028, 51101, 50906, 51862, 55902, 51022, 50956, 51269, 50421, 51001, 54252, 51028, 53906, 50625, 50876, 66751, 51252, 50956, 57648, 50871, 61929, 50625, 51197, 51309, 50906, 59055, 62622, 51040, 52179, 50956, 52179, 51034, 50624, 51503, 63085, 53577, 50956, 56374, 50965, 51391, 77718, 51176, 68112, 50619, 50444, 50624, 51001, 51775, 50876, 51852, 80054, 51503, 59288, 50965, 51142, 64304, 53523, 51645, 50876, 51961, 51001, 73143, 51197, 59388, 50876, 51852, 51001, 51172, 51034, 51503, 52731, 69980, 51142, 64304, 53523, 51797, 51001, 51309, 50876, 51797, 50438, 59855, 51147, 51210, 71593, 51197, 51753, 50444, 51147, 50912, 71593, 59855, 51034, 51503, 52386, 50331, 51241, 51176, 50851, 51001, 51204, 51062, 51351, 50421, 50900, 52518, 50427, 50956, 51466, 59409, 50910, 51062, 50942, 51147, 59577, 51197, 52056, 51147, 51177, 51062, 51221, 80033, 61614, 51166, 77575, 52598, 51405, 51221, 51001, 51124, 51062, 51255, 53502, 52518, 56040, 51824, 64551, 71552, 51197, 51797, 61496, 51147, 50874, 51062, 53103, 73568, 51405, 50822, 51001, 64442, 50912, 51034, 51503, 50863, 51176, 52081, 50336, 51514, 50324, 70553, 50987, 58097, 51126, 50421, 50900, 51000, 53523, 51123, 50956, 51123, 51062, 78819, 51807, 50335, 51056, 56014, 51123, 50956, 58604, 51197, 51753, 61614, 51862, 73955, 51062, 50959, 50445, 51339, 50942, 72316, 51954, 50329, 51455, 50288, 50863, 50931, 51588, 50333, 50977, 50421, 50997, 53010, 56040, 51123, 51001, 51514, 50331, 70452, 53961, 50956, 69406, 51197, 51642, 62419, 50439, 64413, 51081, 54207, 71152, 70178, 51147, 50874, 51062, 50942, 51034, 51503, 52081, 50295, 57392, 51028, 51178, 51081, 51363, 51399, 51043, 58097, 52460, 50861, 52482, 50427, 50951, 51775, 50906, 51221, 51081, 51203, 64551, 51123, 50861, 55666, 51197, 50912, 69429, 60299, 51081, 50925, 50443, 50956, 57138, 62504, 51147, 50874, 51062, 50897, 51034, 51503, 52081, 50295, 50971, 50415, 51081, 51411, 51399, 51377, 51028, 51255, 56363, 52063, 56040, 55238, 50956, 52192, 50438, 51197, 51753, 69429, 51028, 51051, 51081, 50942, 50443, 51040, 51862, 50444, 74247, 75337, 51399, 50854, 72316, 52386, 50288, 66955, 50942, 51399, 50955, 51487, 65739, 51399, 50844, 51339, 50854, 66771, 50997, 58309, 51001, 51221, 50951, 51412, 51405, 51221, 50956, 55238, 50956, 56006, 51197, 52104, 50329, 51233, 51487, 51194, 50951, 51177, 50443, 50956, 51126, 51034, 51503, 50863, 51197, 51954, 50324, 51377, 51062, 51411, 52128, 51025, 53502, 51166, 56040, 56693, 50956, 52958, 51147, 50942, 51503, 50837, 51176, 73477, 50925, 50876, 63959, 51147, 68340, 70934, 72794, 53529, 50310, 76606, 51360, 57989, 51176, 50941, 62286, 52128, 80083, 51689, 50329, 60953, 53420, 50871, 53536, 50317, 64078, 50931, 50912, 50965, 57959, 51040, 51123, 50871, 58604, 51360, 51142, 51147, 51609, 50333, 65615, 54247, 51040, 53529, 50321, 51604, 50329, 68840, 61495, 51503, 50837, 72316, 51954, 50324, 50834, 51405, 70632, 64580, 50900, 53070, 50965, 50912, 50900, 55070, 50956, 51123, 50876, 55286, 50956, 69406, 51197, 51852, 51001, 62090, 69649, 50876, 54207, 50956, 51022, 50965, 50854, 59855, 51147, 50833, 51034, 51503, 50870, 51197, 50863, 51028, 51203, 50951, 51363, 51399, 51255, 56363, 53161, 50956, 52482, 50861, 52482, 50426, 51001, 51121, 50951, 51337, 51405, 65135, 50997, 51524, 50956, 51862, 50861, 55666, 51197, 50912, 50931, 51514, 50329, 51242, 51339, 55322, 50997, 50907, 50956, 52462, 67136, 51034, 51503, 50863, 51197, 73747, 51191, 51062, 51419, 51405, 51351, 58097, 52518, 50900, 51466, 79351, 57123, 50956, 59656, 51503, 50863, 51176, 50863, 50965, 59390, 51962, 50324, 50925, 61614, 52666, 50310, 53529, 50312, 50833, 60215, 51147, 71303, 51360, 57989, 51176, 50941, 62286, 52128, 80083, 51689, 50329, 60953, 53070, 50871, 53536, 50317, 64078, 50931, 50912, 50965, 57959, 51040, 51123, 50871, 58604, 51360, 51142, 51147, 51609, 50333, 65615, 54247, 51040, 53529, 50321, 51604, 50329, 68840, 61495, 51503, 50837, 72316, 51954, 50324, 50834, 51405, 70632, 64580, 50900, 53070, 50965, 50912, 50900, 55070, 50956, 51123, 50876, 55286 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 20902, 11739, 9, 21072, 6, 13305, 6, 20535, 2810, 6, 6755, 12547, 6, 8, 1076, 560, 31365, 25999, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 12298, 1619, 4780, 8, 41, 11653, 2365, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 53028, 50821, 51544, 50874, 51570, 50833, 52320, 50833, 50799, 78530, 50878, 50416, 50698, 50312, 50878, 50418, 50698, 50314, 58793, 78530, 63980, 50698, 50312, 50878, 50424, 50698, 50314, 52524, 78530, 61822, 50698, 50312, 68486, 50698, 50314, 52810, 78530, 56585, 50698, 50312, 50878, 50436, 50698, 50314, 52781, 78530, 50878, 50440, 50698, 50312, 66479, 50698, 50314, 53524, 78530, 62928, 50698, 50312, 50878, 50448, 50698, 50314, 52800, 78530, 61081, 50698, 50312, 58261, 50698, 50314, 53211, 78530, 50813, 50698, 50312, 61997, 50698, 50314, 50813, 50799, 52977, 54788, 55964, 57154, 79154, 50912, 51039, 53821, 50849, 51925, 50845, 53327, 50873, 58081, 54325, 55981, 54788, 55964, 56975, 74875, 50903, 50912, 70201, 56427, 50804, 50845, 52653, 50920, 50942, 50436, 52977, 50892, 52574, 51462, 50849, 51450, 55964, 53284, 76688, 50903, 55918, 50912, 51180, 53364, 50873, 51845, 50974, 52612, 51370, 53045, 54276, 52560, 54923, 55225, 57154, 66354, 51927, 51035, 54771, 50804, 50873, 56278, 50925, 50460, 51762, 50799, 52977, 54788, 55964, 57154, 50817, 51402, 66032, 53821, 50901, 51925, 61544, 51248, 50934, 60684, 53450, 55981, 54788, 51331, 65958, 51432, 50430, 52352, 51698, 58923, 50974, 51361, 59809, 60684, 66144, 52977, 50892, 52574, 51462, 50873, 51450, 55964, 53284, 76688, 50903, 59251, 54947, 50698, 50324, 51239, 53364, 50873, 51845, 75406, 50698, 50324, 54525, 50698, 50324, 52467, 51370, 53045, 52843, 50698, 50324, 50880, 52560, 53970, 55225, 57948, 66354, 51927, 51035, 56711, 50698, 50324, 51179, 55018, 72732, 68627, 50698, 50324, 58841, 50698, 50324, 50840, 51762, 50799, 52977, 50892, 50698, 50324, 52259, 55964, 52839, 50817, 51402, 53405, 50698, 50324, 51044, 53821, 50873, 51925, 74430, 50698, 50324, 54316, 50698, 50324, 54499, 50849, 58081, 68521, 50698, 50324, 52437, 55981, 54788, 55964, 59074, 74875, 50903, 50912, 70201, 55544, 50804, 50849, 52653, 50920, 50925, 50436, 52977, 50892, 52574, 51462, 50873, 51450, 55964, 53284, 50882, 55820, 50912, 51180, 53364, 50873, 51845, 50905, 52612, 51370, 53045, 54276, 52560, 53656, 55225, 53284, 66354, 51927, 51035, 56711, 50804, 50805, 56278, 50925, 50460, 51762, 50799, 52977, 54788, 55964, 52839, 50817, 51402, 66032, 53821, 50901, 51925, 69596, 51248, 50934, 60684, 52654, 55981, 54788, 51331, 65958, 71202, 52352, 51698, 54714, 50905, 51361, 59809, 56969, 66144, 52977, 50892, 52574, 51462, 50873, 51450, 55964, 57154, 50882, 55820, 50912, 51180, 53364, 50849, 51845, 50892, 52612, 51370, 53045, 54276, 52560, 56104, 55225, 54265, 66354, 51927, 51035, 50892, 50455, 51986, 54647, 52185, 59734, 50934, 60684, 50925, 50460, 51762, 50799, 51986, 51196, 51643, 51413, 52402, 51103, 52255, 51103, 51711, 51103, 53088, 51573, 52977, 51573, 51829, 51573, 56464, 50817, 51402, 53405, 50900, 64501, 62208, 51045, 51068, 50805, 52068, 50423, 51068, 51420, 50837, 51544, 74875, 53842, 56014, 64501, 62208, 51014, 53088, 50962, 52977, 61474, 52201, 50959, 63842, 53418, 52623, 50821, 52185, 51420, 50882, 55820, 54947, 50900, 64501, 70980, 50823, 53088, 50962, 52977, 61474, 50849, 51892, 50447, 51068, 50833, 51931, 52320, 50858, 56403, 55162, 50900, 64501, 74552, 51986, 50811, 51643, 57446, 50849, 51471, 50460, 51762, 50799, 51986, 50823, 52226, 50812, 51743, 51189, 52255, 51189, 52414, 51413, 51859, 51460, 52977, 51460, 53146, 63067, 50817, 51402, 53405, 51040, 51014, 50871, 74552, 51555, 50803, 51643, 57446, 50805, 52068, 50423, 51068, 51420, 52670, 51783, 50803, 51721, 51420, 74875, 53842, 56014, 64501, 74552, 52623, 50924, 51643, 50812, 53088, 50894, 52977, 61606, 52201, 50959, 63842, 53418, 52402, 50849, 52255, 50849, 51711, 52808, 50882, 55820, 54947, 50900, 64501, 74552, 53088, 50894, 52977, 61606, 50849, 51892, 50447, 51068, 50833, 51931, 52320, 50858, 56403, 55162, 50900, 69990, 70980, 50823, 51986, 50880, 51643, 50812, 53088, 50894, 52977, 61606, 50849, 51471, 50460, 51762, 50799, 51986, 50821, 52226, 50812, 51743, 51189, 52255, 51413, 52414, 51103, 51859, 51054, 52977, 51054, 53146, 56351, 50817, 51402, 53405, 51040, 51045, 50871, 62208, 50811, 51555, 50950, 51643, 57446, 50805, 52068, 50423, 51068, 51420, 52670, 51783, 50811, 51721, 51420, 74875, 53842, 56014, 64501, 74552, 51986, 50806, 51643, 51124, 51068, 52201, 50959, 63842, 53418, 52402, 50914, 52255, 50914, 51711, 55859, 50882, 55820, 50912, 50443, 51555, 52284, 50900, 64501, 74552, 51721, 57446, 50849, 51892, 50447, 51068, 50833, 59207, 51783, 50811, 52185, 51420, 50858, 56403, 55162, 50997, 64501, 59021, 50823, 51986, 51013, 51721, 50914, 51068, 50849, 51471, 50460, 51762, 50799, 52402, 51591, 51615, 51591, 51863, 51591, 53088, 51573, 51676, 51054, 52317, 67116, 50817, 51402, 53405, 50997, 69990, 72139, 51652, 57446, 50805, 52068, 50421, 52623, 67808, 51831, 57446, 51420, 52670, 52770, 51420, 74875, 53842, 71288, 69990, 75892, 54736, 52201, 50959, 63842, 50884, 51570, 50882, 55820, 54947, 50997, 64501, 75892, 54736, 50849, 51892, 50447, 51068, 50833, 59207, 52623, 50811, 51643, 51420, 50858, 56403, 55162, 50997, 64501, 59021, 50823, 51555, 50811, 52200, 57446, 50849, 51471, 50460, 51762, 50799, 51986, 51196, 51993, 51413, 51743, 51413, 52255, 51413, 52414, 51103, 51859, 51573, 52977, 51573, 53146, 76727, 55964, 57154, 50817, 51402, 53405, 51040, 68916, 62208, 60061, 50859, 63448, 50849, 51925, 50845, 53327, 50873, 58081, 50912, 52389, 55964, 56975, 74875, 50903, 50912, 70201, 56427, 51040, 51014, 50871, 62208, 52865, 64850, 52189, 77377, 50942, 50436, 52574, 51462, 53470, 52623, 50859, 52200, 50812, 52402, 50849, 52255, 50849, 51711, 53834, 55964, 53284, 76688, 50903, 55918, 54947, 50900, 64501, 62208, 60061, 50859, 60483, 50873, 51845, 50974, 52612, 51370, 53045, 54276, 50798, 55225, 57154, 66354, 51927, 51035, 50892, 50455, 51986, 52884, 50900, 64501, 62208, 51014, 51643, 53497, 67513, 50859, 56278, 50925, 50460, 51762, 50799, 51986, 50921, 52226, 50849, 51743, 51189, 52255, 51413, 52414, 51413, 51859, 51054, 52977, 51054, 53146, 57393, 55964, 57154, 50817, 51402, 53405, 51040, 51014, 50871, 62208, 51010, 51555, 50803, 51643, 61181, 50859, 63448, 50901, 51925, 61544, 51248, 50934, 60684, 53450, 51783, 50803, 51721, 51654, 51331, 65958, 51432, 50430, 52352, 51698, 58923, 55544, 50900, 64501, 74552, 52623, 50859, 51643, 58029, 52189, 59809, 60684, 66144, 52574, 51462, 54233, 52402, 51124, 52255, 51124, 51711, 64861, 55964, 53284, 76688, 50903, 59251, 54947, 50900, 64501, 62208, 51045, 51068, 51049, 53364, 50873, 51845, 50892, 52612, 51370, 53045, 52843, 50798, 55225, 57948, 66354, 51927, 51035, 56711, 50900, 64501, 62208, 51045, 51986, 50880, 51643, 58029, 50808, 51190, 50934, 72732, 50942, 50460, 51762, 50799, 51986, 50821, 52226, 50808, 51743, 51189, 52255, 51413, 52414, 51103, 51859, 51054, 52977, 51054, 53146, 57393, 55964, 52839, 50817, 51402, 53405, 51040, 51014, 50871, 62208, 50811, 51555, 50811, 51643, 58029, 51049, 53821, 50873, 51925, 50845, 53327, 50849, 58081, 53450, 51783, 50811, 51721, 51747, 55964, 59074, 74875, 50903, 50912, 70201, 55544, 50900, 64501, 74552, 51986, 50976, 51643, 69362, 61181, 52189, 77377, 50925, 50436, 52574, 51462, 54233, 52402, 51191, 52255, 51191, 51711, 62288, 55964, 53284, 50882, 55820, 54947, 50900 ]

[ 0, 713, 5175, 2214, 6, 30291, 19, 3152, 4785, 6, 1575, 10, 11739, 9, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 13602, 6757, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 15229, 7630, 6568, 10, 3344, 9, 15352, 30054, 6, 2365, 6, 8, 1372, 6711, 29, 6, 19, 12577, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51164, 50915, 72918, 50872, 62136, 50915, 69546, 51257, 50943, 52584, 56946, 51016, 51321, 61649, 51164, 57680, 68931, 62136, 50889, 77289, 51257, 50889, 52584, 55113, 51090, 51321, 59306, 51164, 57954, 58541, 56244, 59192, 51554, 50321, 50879, 52584, 52420, 75390, 55885, 51164, 54180, 58541, 56244, 62289, 50806, 68395, 52584, 57623, 66433, 55416, 51164, 58239, 54891, 56244, 56990, 51424, 50321, 50873, 52584, 54780, 71535, 50806, 52591, 51781, 55341, 51262, 55214, 51543, 65109, 51536, 57626, 51536, 59575, 51543, 59357, 51781, 56160, 51262, 56210, 51781, 50923, 50799, 51262, 52208, 51164, 50915, 72918, 50872, 62136, 50915, 69546, 51257, 50943, 52584, 56946, 51016, 51321, 61649, 51164, 57680, 68931, 62136, 50889, 77289, 51257, 50889, 52584, 55113, 51090, 51321, 59306, 51164, 57954, 58541, 56244, 59192, 51554, 50321, 50879, 52584, 52420, 75390, 55885, 51164, 54180, 58541, 56244, 62289, 50806, 68395, 52584, 57623, 66433, 55416, 51164, 58239, 54891, 56244, 56990, 51424, 50321, 50873, 52584, 54780, 71535, 50806, 52591, 52652, 51972, 50295, 57078, 52652, 50806, 51751, 57067, 51536, 51972, 50292, 50911, 54423, 58395, 52652, 51972, 50295, 52420, 50858, 53012, 56646, 52652, 51834, 50295, 50923, 54144, 50911, 52612, 55230, 52652, 51834, 50295, 50923, 54144, 55020, 57241, 51978, 50879, 54144, 55020, 50923, 50799, 52436, 50807, 51164, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52436, 50806, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 52172, 71065, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52436, 51090, 51164, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 52436, 51090, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51978, 51090, 51164, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52656, 50806, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51978, 66341, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52656, 51834, 50297, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 52656, 51054, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51978, 51977, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 59008, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51262, 50806, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 51781, 51972, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51543, 68438, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 51543, 50949, 51164, 54180, 50805, 51416, 55195, 71535, 72253, 51536, 51566, 50441, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 52825, 51054, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51536, 51834, 50297, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51543, 51972, 50297, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 51781, 51952, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51262, 52311, 50946, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 51164, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 52608, 51834, 50297, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51978, 51972, 50297, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51978, 51834, 50297, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52656, 51834, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 51978, 60772, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52656, 51237, 51164, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 52436, 51834, 50297, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 52656, 51952, 50297, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 52380, 51972, 50297, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 52380, 51972, 50297, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 52380, 51972, 50300, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 52380, 68438, 62773, 50879, 55298, 71535, 53660, 51321, 55381, 52436, 51972, 50297, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 52656, 51054, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51978, 51552, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 59008, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 52825, 51090, 51164, 57084, 50893, 52584, 66433, 54007, 51321, 52422, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 53917, 52652, 50894, 50946, 62773, 50879, 55298, 71535, 53660, 51630, 52965, 50584, 55381, 51536, 51834, 50297, 54180, 50805, 51416, 55195, 71535, 58909, 51321, 55920, 51781, 51761, 51164, 62773, 50795, 51416, 54209, 66433, 57152, 51321, 54988, 51164, 50795, 56116, 51416, 55020, 66433, 56328, 51321, 54712, 51164, 62773, 50795, 52585, 54209, 71535, 57308, 51321, 50894, 50799, 51262, 51379, 51164, 54180, 50795, 52584, 55195, 51090, 51321, 56191, 51321, 53113, 51164, 57084, 50893, 52584, 66433, 66685, 51781, 51379, 50423, 51321, 52422, 51396, 57084, 50795, 54785, 55020, 51090, 51321, 58465, 51321, 74875, 51262, 70192, 50946, 62773, 50879, 55298, 66433, 53660, 51321, 55381, 51536, 51834, 50297, 54180, 50805, 52584, 55195, 71535, 58909, 51321, 55920, 51543, 51972, 50297, 62773, 50795, 52584, 55195, 66433, 57152, 51321, 54988, 51781, 51054, 51164, 50795, 56116, 52584, 54780, 66433, 56328, 51321, 54712, 52656, 51952, 50297, 62773, 50795, 51349, 54209, 71535, 57308, 51321, 50894, 50799, 52436, 50896, 52021, 74049, 50805, 51526, 54209, 51090, 51321, 56191, 51321, 53113, 52021, 51624, 50297, 50879, 51526, 66433, 54007, 51321, 52422, 52436, 50806, 52540, 51624, 50297, 50795, 52458, 55020, 51090, 51321, 58465, 51321, 53917, 52656, 51834, 50294, 59746, 50806, 52585, 75390, 53660, 51321, 55381, 52436, 51090, 52021, 51624, 50297, 50795, 52584, 55195, 71535, 58909, 51321, 55920, 52021, 50806, 51164, 50893, 52584, 54209, 66433, 57152, 51321, 54988, 52656, 51834, 50290, 55963, 50879, 52584, 54780, 66433, 56328, 51321, 54712, 52436, 50896, 52021, 51554, 50297, 50893, 51349, 55195, 71535, 57308, 51321, 50894, 74015, 74049, 50805, 51526, 54209, 51090, 51321, 56191, 51321, 53113, 52656, 51834, 50290, 51624, 50297, 50879, 51526, 66433, 54007, 51321, 52422, 52436, 50806, 52540, 51624, 50297, 50795, 52458, 55020, 51090, 51321, 58465, 51321, 53917, 52656, 51834, 50294, 59746, 50806, 52585, 75390, 53660, 51321, 55381, 52436, 51090, 52021, 51624, 50297, 50795, 52584, 55195, 71535, 58909, 51321, 55920, 52021, 50806, 51164, 50893, 52584, 54209, 66433, 57152, 51321, 54988, 52656, 51834, 50290, 55963 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 9066, 2821, 16235, 150, 67, 1839, 3423, 9, 26545, 8, 3722, 5581, 4, 8504, 11, 10, 231, 73, 398, 86, 6543, 8, 1375, 23, 10, 7212, 20889, 6, 24, 1575, 10, 4066, 30062, 620, 7085, 24943, 217, 12280, 642, 6, 6755, 12547, 6, 17691, 28430, 6, 326, 15673, 10342, 6, 8, 1515, 21305, 4, 20, 762, 9, 12608, 3694, 31473, 10, 2842, 9, 40602, 6, 19, 10, 33215, 16739, 9, 274, 406, 6, 163, 428, 6, 12608, 6, 274, 406, 6, 8, 230, 10431, 1271, 46336, 773, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50631, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 59472, 50849, 53599, 50849, 51540, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 54480, 50849, 52481, 50849, 51540, 54339, 54484, 55815, 54484, 51540, 54339, 54484, 56726, 54484, 51540, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 59472, 50849, 53599, 50849, 51540, 57805, 50897, 52602, 55640, 52602, 57066, 54333, 56057, 52602, 58937, 54333, 55620, 57805, 50897, 52602, 50897, 50462, 54480, 50849, 52481, 50849, 52356, 51661, 51540, 51326, 61649, 51326, 54100, 51456, 54993, 51326, 57105, 51456, 51016, 50462, 51326, 50892, 50468, 51326, 51016, 50480, 51326, 50892, 51540, 53148, 50849, 52332, 54484, 52414, 54484, 51456, 67039, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52033, 54484, 52187, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52332, 54484, 52414, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52033, 54484, 52187, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 52332, 54484, 52414, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 53148, 50849, 51615, 54484, 51838, 54484, 50420, 53148, 56217, 53148, 56157, 53148, 53794, 53148, 50914, 50462, 51794, 50914, 50474, 52830, 50914, 51540, 52830, 50849, 52187, 53073, 52225, 54484, 50420, 52830, 56217, 52830, 55965, 73603, 52407, 50444, 52830, 53794, 52830, 50914, 50462, 52065, 50914, 73603, 51878, 50474, 52371, 50914, 51540, 52830, 50849, 53129, 54484, 73603, 51535, 50420, 52830, 56217, 52830, 55965, 73603, 51562, 50444, 52830, 53794, 52830, 50914, 50462, 52065, 50914, 73603, 51446, 50474, 52371, 50914, 51540, 57805, 50897, 52602, 50897, 64976, 51466, 50798, 50981, 74771, 51661, 50426, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 64976, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 59472, 50849, 53599, 50849, 50763, 50329, 51466, 50474, 50763, 50319, 51466, 51540, 57805, 50897, 52602, 50897, 64976, 68289, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 50763, 50322, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 54480, 50849, 52481, 50849, 64976, 51466, 50474, 50763, 50319, 51466, 51540, 51656, 53073, 52340, 54484, 64976, 68289, 50763, 50319, 66916, 64976, 67303, 50763, 50319, 51466, 50462, 50763, 50329, 51466, 50474, 50763, 50319, 51466, 51540, 51838, 54484, 64976, 68289, 50763, 50319, 66916, 50763, 50322, 67303, 50763, 50319, 51466, 50462, 64976, 51466, 50474, 50763, 50319, 51466, 51540, 57805, 50897, 52602, 50897, 64976, 68289, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 64976, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 59472, 50849, 53599, 50849, 50763, 50329, 51466, 50474, 50763, 50319, 51466, 51540, 57805, 50897, 52602, 50897, 64976, 68289, 52602, 50897, 50763, 50319, 79542, 54333, 56057, 52602, 50897, 50763, 50322, 77074, 54333, 55620, 57805, 50897, 52602, 50897, 50763, 50319, 51466, 50462, 54480, 50849, 52481, 50849, 64976, 51466, 52356, 51661, 50474, 50763, 50319, 51466, 51540, 50763, 50322, 51466, 51326, 61649, 50763, 50317, 51466, 51326, 54100, 51456, 54993, 50763, 50322, 51466, 51326, 57105, 50763, 50317, 51466, 51456, 51016, 50462, 79816, 51466, 51326, 50892, 50468, 51326, 51016, 50474, 50763, 50317, 51466, 50480, 51326, 50892, 51540, 52065, 50897, 53100, 54484, 52332, 54484, 50763, 50322, 51466, 51456, 67039, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53541, 54484, 52033, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53100, 54484, 52332, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53541, 54484, 52033, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 53100, 54484, 52332, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 52065, 50897, 51881, 54484, 51615, 54484, 50763, 50322, 51466, 50420, 52065, 55640, 50763, 50317, 79542, 52065, 56057, 50763, 50322, 77074, 52065, 55620, 52065, 50897, 50763, 50317, 51466, 50462, 51491, 50897, 79816, 51466, 50474, 52065, 50897, 50763, 50317, 51466, 51540, 51883, 50849, 52033, 53073, 51656, 54484, 50763, 50320, 51466, 51769, 51448, 50420, 51883, 55973, 50763, 50314, 79542, 51883, 55965, 50763, 50320, 51466, 73603, 52407, 50444, 51883, 53794, 51883, 50914, 50763, 50314, 51466, 50462, 51301, 50914, 50763, 50322, 51466, 73603, 51878, 50474, 51883, 50914, 50763, 50314, 51466, 51540, 51883, 50849, 52187, 54484, 50763, 50320, 51466, 73603, 51535, 50420, 51883, 55973, 50763, 50314, 79542, 51883, 55965, 50763, 50320, 51466, 73603, 51562, 50444, 51883, 53794, 51883, 50914, 50763, 50314, 51466, 50462, 51301, 50914, 50763, 50322, 51466, 73603, 51446, 50474, 51883, 50914, 50763, 50314, 51466, 51540, 54480, 52149, 53188, 51977, 64976, 51466, 50798, 51448, 52173, 50981, 74771, 51661, 52849, 58326, 50763, 50319, 51466, 52926, 50981, 53042, 56692, 64976, 51466, 51802, 50981, 52849, 57105, 56726, 54484, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 50462, 64976, 51466, 52549, 50981, 52849, 50981, 50474, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 51540, 50763, 50327, 51466, 52173, 50981, 53958, 58326, 50763, 50319, 51466, 52926, 50981, 53042, 56692, 50763, 50327, 51466, 52824, 50981, 53958, 57105, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 50462, 53718, 51016, 50763, 50327, 51466, 52549, 50981, 53958, 50981, 50474, 54339, 51016, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 51540, 53976, 51016, 79816, 51466, 52824, 50981, 53314, 58326, 53499, 51661, 50763, 50319, 51466, 52926, 50981, 53042, 56692, 79816, 51466, 52549, 50981, 53314, 57105, 53188, 51016, 50763, 50319, 51466, 52926, 50981, 53042, 50981, 50462, 53718, 52536, 79816, 51466, 52824, 50981, 53314, 50981, 50474 ]

[ 0, 250, 12298, 11057, 2125, 19, 15855, 16882, 6, 42, 765, 2214, 7630, 6568, 5, 4780, 9, 1619, 4, 27901, 10, 20902, 3222, 5785, 227, 326, 5638, 18026, 6, 13305, 6, 32909, 6, 21979, 9590, 6, 8, 1076, 560, 31365, 25999, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 6, 5, 15229, 24708, 1626, 149, 10, 651, 9, 40286, 217, 163, 428, 6, 1614, 757, 6, 163, 35470, 757, 6, 211, 119, 6, 8, 230, 119, 406, 6, 2351, 10, 32076, 8, 15352, 30054, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50450, 51993, 52254, 54204, 52221, 56254, 65173, 72926, 74242, 78466, 51405, 55640, 54021, 51108, 50843, 71484, 60990, 50999, 50910, 76531, 51339, 50910, 52470, 68958, 52221, 51142, 50852, 63319, 70427, 51114, 50830, 63558, 51146, 53484, 54021, 51108, 50843, 50984, 50458, 65133, 71049, 69955, 51405, 55744, 50827, 54204, 58747, 55249, 79180, 67908, 50968, 50910, 71049, 51062, 56382, 54021, 51709, 50843, 76969, 60537, 51114, 50897, 77757, 51146, 65110, 61929, 51261, 52221, 63713, 51123, 50446, 75983, 60537, 60990, 51081, 53484, 54021, 51108, 50843, 51269, 50458, 67908, 50968, 50910, 71049, 76531, 53861, 54204, 53769, 56254, 79180, 76251, 67594, 72926, 51147, 56382, 54021, 51108, 50843, 51123, 50434, 75983, 71774, 69697, 51081, 55744, 54793, 51261, 56426, 62854, 50984, 72785, 69272, 50897, 66634, 60990, 51150, 55476, 60205, 50989, 50952, 66734, 51028, 50897, 78690, 52078, 51328, 50852, 50984, 50458, 50861, 50952, 71777, 66557, 58884, 52157, 63388, 53065, 50971, 56020, 52372, 51354, 50434, 51993, 64543, 52200, 51354, 50446, 51721, 61208, 52185, 51379, 50458, 51652, 51014, 52591, 50997, 62930, 57631, 50807, 51560, 51218, 52000, 59084, 54553, 56439, 50800, 53951, 50851, 53327, 50984, 57363, 51022, 51302, 51252, 53924, 62718, 51126, 55203, 50910, 50871, 50952, 76251, 51140, 50901, 51451, 55576, 55921, 50857, 56576, 54915, 51040, 50830, 77206, 50877, 50952, 51705, 51194, 51917, 58610, 54553, 55921, 71529, 50899, 50952, 64871, 75983, 51098, 50845, 51322, 55576, 55619, 59539, 50962, 56020, 52372, 51167, 50434, 51993, 59826, 52200, 51379, 50446, 51721, 53484, 52185, 51167, 50458, 51652, 51013, 56020, 51026, 67997, 50879, 51461, 51191, 51830, 50845, 52428, 51002, 64370, 50887, 53924, 56439, 70008, 51273, 67272, 51176, 50910, 61617, 53008, 55576, 55836, 50836, 53526, 55400, 52772, 51027, 51110, 50989, 50967, 51664, 58610, 56062, 56439, 65170, 51560, 51177, 50458, 72995, 50861, 50952, 51493, 50873, 52000, 55576, 54806, 59539, 50890, 56020, 51721, 50896, 50434, 52185, 59826, 51652, 51215, 50446, 51831, 51175, 50852, 51128, 57702, 50984, 50458, 51150, 50813, 52770, 55968, 50984, 53202, 51189, 52200, 51354, 77109, 50416, 51339, 51609, 50335, 74027, 51643, 51362, 50424, 51487, 50987, 55057, 57075, 60462, 53919, 59992, 51150, 70436, 59068, 52956, 56180, 51140, 51413, 50856, 68273, 52357, 68500, 53919, 52059, 50843, 51740, 74879, 51150, 57075, 57490, 52357, 50855, 55435, 50955, 74372, 62958, 51261, 51121, 51652, 51354, 53673, 50422, 52185, 58798, 51667, 51215, 50434, 51721, 51090, 50446, 52770, 58710, 51831, 64603, 51652, 56764, 50864, 55985, 51000, 56483, 51297, 50799, 52770, 51294, 50415, 50804, 52514, 66345, 51110, 51040, 51095, 50989, 51110, 51705, 51191, 52000, 51097, 51917, 50915, 51547, 50915, 52428, 51024, 50887, 53924, 59539, 59656, 51027, 50897, 50900, 50910, 62676, 51140, 51255, 51664, 50959, 51451, 50878, 51256, 55576, 55836, 60520, 51150, 54597, 59295, 52772, 51176, 50897, 70489, 51086, 51178, 53008, 50878, 51912, 50878, 51366, 55576, 56062, 56439, 65170, 51493, 51178, 50458, 51026, 50897, 50997, 50910, 50956, 50910, 51560, 51060, 51830, 50878, 52000, 50878, 51772, 55576, 54806, 56715, 50890, 56020, 52372, 51354, 50434, 51993, 64543, 52200, 51354, 50446, 51721, 57642, 53567, 52185, 77230, 63569, 51652, 51014, 60653, 51535, 51772, 51123, 51209, 50984, 52000, 60615, 55918, 62642, 51487, 58326, 52000, 50912, 51772, 51123, 51209, 61005, 50833, 55703, 56006, 51261, 51189, 52000, 51123, 51772, 51123, 51209, 63054, 51524, 50791, 72422, 51405, 60886, 76288, 51339, 50867, 52000, 51123, 51772, 51123, 51209, 50368, 51163, 57465, 51487, 70172, 51389, 64479, 51930, 50912, 53842, 50459, 51487, 50942, 50460, 51984, 50863, 60653, 51749, 52000, 51123, 51772, 51123, 51209, 61530, 51210, 53673, 50422, 52372, 60467, 54953, 52000, 51123, 51772, 51123, 51209, 64930, 58877, 51993, 50940, 73216, 58226, 52212, 51917, 51123, 51772, 51123, 51209, 51123, 52200, 71994, 51365, 66267, 50446, 51721, 52744, 54626, 52000, 50984, 51917, 50984, 51772, 51123, 51209, 50984, 52185, 51167, 50843, 61076, 51652, 51013, 53842, 50799, 53691, 52407, 51451, 51123, 51366, 50907, 51674, 51524, 50798, 51051, 53842, 55429, 54325, 51451, 50984, 51366, 50912, 51674, 50368, 51163, 51008, 50427, 51814, 60952, 52052, 50864, 55703, 52788, 53117, 50844, 53033, 51576, 51451, 51123, 51366, 50984, 51674, 61530, 51210, 53861, 50440, 52357, 63251, 53842, 50447, 52128, 58038, 51984, 50932, 51451, 51123, 51366, 50984, 51674, 62759, 50977, 50451, 52052, 51126, 50452, 51814, 62298, 53117, 56423, 69510, 52357, 50878, 53788, 51056, 51366, 50984, 51674, 64843, 51142, 53673, 50415, 52128, 51212, 50422, 51721, 50896, 60656, 51261, 51377, 51451, 51123, 51366, 50912, 51674, 62759, 60661, 52185, 55417, 61389, 51522, 51159, 51451, 50984, 51366, 50907, 51674, 51123, 51652, 66150, 55336, 51126, 50446, 51831, 51175, 50852, 58271, 51493, 51056, 51451, 50984, 51366, 50912, 51674, 50368, 51163, 62990, 52770, 55968, 51126, 53202, 51103, 51451, 50984, 51772, 50984, 51256, 50984, 51674, 51022, 52200, 72109, 51051, 53861, 50422, 51643, 51362, 50426, 51451, 50984, 51772, 50984, 51256, 50907, 51674, 50368, 51163, 60661, 53978, 57385, 51295, 51451, 51123, 51772, 50984, 51256, 50907, 51674, 61530, 51051, 53673, 50439, 51430, 51604, 50333, 51177, 50446, 50852, 63491, 51487, 52800, 51772, 50984, 51256, 50907, 51674, 50368, 51163, 59672, 51150, 52854, 50904, 54204, 50937, 52000, 50912, 51322, 50851, 51256, 50907, 51674, 50984, 51652, 72109, 51524, 50422, 52185, 58798, 51667, 51215, 50434, 51721, 51090, 50446, 52770, 58710, 51831, 50967, 56871, 63569, 51652, 56764, 50874, 52198, 51123, 56483, 51832, 55970, 50914, 52770, 61025, 51252, 50422, 51930, 51679, 51721, 50940, 52200, 50940, 51979, 50910, 51579, 50910, 52336, 50910, 55558, 53071, 50364, 51002, 56717, 50955, 51866, 50952, 52178, 50952, 53397, 75724, 51652, 50940, 51643, 50940, 52491, 50910, 51744, 50925, 51579, 50925, 52629, 55588, 52406, 50583, 50827, 52384, 50830, 51866, 50830, 52194, 59646, 51560, 58641, 51269, 50446, 51930, 51679, 52185, 50952, 52226, 50940, 51978, 50952, 51509, 50830, 52264, 50830, 55078, 58396, 59809, 52984, 50586, 50912, 51702, 50952, 52377, 50952, 54006, 71208, 51831, 50952, 51721, 50940, 52228, 50952, 51485, 50830, 51509, 50830, 52336, 58063, 52984, 50588, 51000, 52058, 50940, 51702, 50940, 52178, 50940, 55970, 53769, 71876, 51930, 51381, 51652, 50940, 51643, 50921, 52491, 50952, 51744, 50897, 51579, 50897, 52629, 56411, 53119, 55095, 50586, 50864, 52384, 50952, 51866, 50952, 52194, 68686, 52185, 50921, 52226, 50921, 51978, 50952, 51509, 50830, 52264, 50830, 55078, 58063, 52406, 50583, 51128, 51702, 50952, 52377, 50952, 54006, 50940, 55935, 64704, 50804, 55707, 51560, 58641, 50925, 50439, 50804, 52101, 50446, 51216, 51204, 52113, 50896, 52226, 51226, 52172, 51091, 52067, 51362, 55078, 51362, 57317, 51362, 52615, 51002, 50376, 52526, 50884, 52148, 51362, 54006, 51362, 53572, 51226, 56451, 51048, 51643, 50921, 52200, 50921, 52656, 50952, 52264, 50940, 52629, 50940, 55558, 58732, 51862, 50804, 54250, 51252, 52377, 50940, 52194, 50940, 53397, 50921, 51629, 53201, 51811, 52720, 50423, 51451, 50912, 51772, 50907, 51209, 50851, 51408, 53220, 51522 ]

[ 0, 250, 32076, 8, 11653, 3495, 12, 12659, 2214, 14, 7630, 6568, 6453, 9, 657, 8, 1619, 9450, 4, 27901, 10, 20902, 3222, 5785, 9, 2020, 3548, 6, 21979, 8669, 6, 24896, 6, 8, 21979, 9590, 6, 5, 1349, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 24, 22848, 10, 16331, 33215, 16739, 9, 211, 6, 83, 6, 211, 6, 83, 73, 717, 6, 8, 272, 1328, 63, 15352, 30054, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 50456, 51967, 59672, 52130, 61780, 53058, 50890, 53458, 50993, 51707, 51194, 51707, 51312, 55338, 51047, 51207, 51312, 71539, 51951, 60232, 51967, 54475, 51891, 51380, 50935, 71488, 50811, 51439, 50971, 62326, 63614, 67524, 53122, 58218, 51707, 51423, 50424, 50998, 50870, 52682, 70576, 50929, 51884, 50426, 51150, 51566, 52344, 51380, 51725, 52378, 52064, 57781, 50986, 51797, 50430, 51207, 50971, 52130, 70328, 51574, 72883, 51891, 51351, 50847, 51010, 50909, 51031, 51149, 50841, 78792, 75646, 67671, 51967, 54125, 51707, 59572, 52064, 65268, 51207, 53913, 51098, 51227, 55338, 51199, 53122, 78447, 51707, 51166, 50960, 50971, 52682, 54815, 52554, 50827, 50935, 61031, 51031, 51207, 50892, 62326, 63614, 67524, 53122, 71977, 51891, 51709, 52682, 53688, 51461, 51056, 51891, 51380, 50847, 51269, 51725, 51074, 52064, 66354, 52181, 50959, 51207, 51337, 65499, 52130, 54353, 52344, 51174, 50847, 51010, 50909, 50817, 51149, 50834, 51725, 51210, 51574, 50955, 69088, 51032, 50851, 51967, 62474, 59028, 50460, 51891, 52188, 52064, 50862, 53458, 51454, 55338, 51381, 50847, 52167, 50935, 51550, 51207, 51419, 53122, 74871, 50847, 51319, 52682, 55777, 51707, 51145, 50847, 51031, 50935, 50883, 51439, 50825, 65813, 69239, 65244, 53122, 67937, 52554, 51709, 52682, 52329, 51461, 51227, 52181, 58179, 52167, 50909, 51004, 52064, 60262, 52012, 70898, 51725, 51884, 50429, 50986, 52059, 50430, 52162, 57823, 51851, 51207, 50867, 52130, 67803, 51574, 50844, 51207, 54100, 56102, 50932, 50847, 68969, 50817, 51149, 50841, 75646, 64145, 51967, 68412, 52554, 51576, 52064, 53894, 69278, 51891, 51535, 50847, 51524, 51207, 51210, 53122, 58746, 50960, 74034, 52162, 58719, 51319, 51207, 50941, 52521, 54815, 56102, 50827, 50935, 50949, 51439, 67073, 50817, 51444, 51074, 78792, 62326, 63614, 51076, 50912, 52682, 75637, 50947, 51210, 53122, 68168, 51078, 51884, 51131, 60333, 51273, 51048, 53476, 51797, 50850, 51252, 51444, 51080, 52521, 50940, 50454, 52181, 51753, 51007, 71040, 51000, 51131, 55370, 51997, 50874, 50850, 74779, 50817, 51840, 50811, 54039, 50817, 51131, 50844, 69605, 70437, 62458, 52130, 50940, 50460, 51891, 51797, 50947, 50870, 50998, 50870, 53058, 50890, 53458, 51066, 51707, 51309, 52554, 51423, 71602, 51951, 50858, 65751, 51166, 50417, 51967, 60400, 51207, 51411, 50420, 51891, 51134, 62326, 63614, 51076, 50904, 53122, 70086, 50935, 50961, 51439, 64780, 53578, 52682, 67596, 51707, 50904, 50998, 59045, 50929, 51884, 50426, 51461, 51110, 52181, 51172, 51574, 51210, 51725, 52034, 50427, 52064, 55658, 51707, 51174, 50430, 50847, 51851, 51207, 50867, 51574, 50971, 52130, 53810, 51891, 50827, 50847, 68969, 50817, 52138, 50908, 51149, 50895, 51574, 50844, 51207, 50892, 70437, 63614, 51032, 50851, 51967, 68412, 51891, 51314, 50998, 50971, 52064, 59948, 50929, 55659, 51098, 51454, 52554, 51534, 51207, 51419, 53122, 75018, 52162, 52482, 52682, 54815, 51707, 56713, 62437, 50884, 51439, 50863, 62326, 63614, 67524, 53122, 71977, 52554, 50886, 50986, 50870, 52682, 61216, 50929, 51884, 50450, 51150, 51460, 52344, 51709, 51574, 50907, 51725, 51376, 52064, 59682, 50847, 51297, 51207, 51645, 50454, 52181, 51481, 51574, 50971, 52130, 68065, 50847, 52884, 51707, 51058, 50909, 50817, 51149, 50818, 51725, 51210, 51574, 50955, 75646, 69088, 51032, 50907, 51967, 53848, 51007, 51297, 50460, 51891, 51961, 52064, 50887, 54079, 51073, 52146, 51412, 50850, 51079, 51131, 51079, 51444, 52222, 50415, 51967, 74871, 53154, 52034, 52130, 55180, 51997, 51328, 68130, 51007, 50817, 54039, 51072, 51840, 51072, 51131, 51411, 50986, 51310, 51078, 50981, 79504, 53058, 67937, 52146, 50874, 50947, 52059, 51951, 53901, 51216, 51160, 51891, 51080, 52012, 51333, 52142, 52765, 51951, 64247, 52850, 50977, 51131, 50978, 50431, 53058, 52749, 52344, 51852, 52391, 50851, 51007, 59482, 50811, 54039, 50811, 51840, 50811, 69605, 50947, 53720, 52554, 50984, 52142, 68412, 50947, 57892, 51951, 54362, 51098, 51932, 51707, 50955, 50847, 52179, 51207, 51391, 50441, 53058, 63753, 51439, 50912, 79183, 50847, 60964, 51951, 50839, 51951, 54651, 51707, 52034, 50935, 51066, 50847, 50802, 51439, 50821, 69432, 51076, 51008, 50929, 51312, 50447, 52142, 71303, 51707, 51419, 51076, 51797, 50449, 51951, 55260, 51273, 51380, 52181, 50851, 53092, 52598, 50451, 50847, 60201, 51439, 50836, 51207, 65556, 52162, 51310, 50935, 64266, 63152, 51444, 56109, 53937, 50867, 58735, 50847, 50823, 77144, 51207, 50892, 50960, 51391, 50929, 50981, 71721, 53058, 67320, 56102, 56551, 51707, 51108, 51439, 53892, 51076, 51806, 50460, 50935, 51642, 52142, 50890, 53458, 50980, 55338, 51108, 50847, 50873, 51207, 50892, 51951, 50952, 50418, 51967, 72531, 51444, 55126, 51891, 50995, 50847, 62437, 50817, 51439, 50829, 51207, 50892, 63614, 53122, 67937, 52554, 50904, 50998, 50870, 52682, 58067, 50929, 52378, 50426, 51461, 51116, 51891, 52460, 52181, 51852, 51725, 52034, 51574, 50907, 52064, 58967, 51207, 51233, 51574, 50971, 52130, 65838, 51707, 51006, 50431, 51574, 50844, 51967, 53627, 51891, 50874, 50847, 68969, 50817, 51149, 50828, 70437, 51032, 65598, 51891, 52407, 52064, 59948, 51207, 54137, 51098, 51735, 52554, 51043, 53122, 75018, 52162, 51884, 52682, 54400, 51707, 51058, 50847, 62437, 50817, 51439, 50841, 51207, 51411, 62326, 51444, 50987, 63614, 77576, 53122, 56325, 52554, 71487, 50998, 50870, 52682, 61495, 51574, 50972, 50929, 56989, 51461, 51178, 51891, 51387, 52181, 51172, 51725, 52034, 52064, 59682, 70396, 51207, 66663, 51707, 51079, 52130, 68065, 51574, 50933, 50929, 51210, 51207, 50892, 50986, 60077, 51891, 50874, 50847, 64622, 50817, 51149, 50841, 64145, 51967, 53848, 51891, 51419, 50460, 52064, 59026, 51207, 51391, 53458, 51566, 52554, 51203, 53122, 54275, 52682, 65000, 52162, 52482, 50419, 51444, 50892, 70748, 50929, 54351, 51707, 58507, 51031, 50935, 50961, 51439, 50864, 51076, 50971, 53122, 53184, 52554, 50874, 52682, 62115, 50998, 59045, 78445, 51574, 50972, 52064, 51620, 51461, 51124, 51891, 51412, 50847, 52946, 51725, 51376, 50429, 52344, 51212, 50986, 51797, 51207, 50971, 52130, 59225, 50847, 51319, 50431, 51725, 51210, 51574, 50955, 51967, 53911, 51707, 50978, 50847, 68969, 50817, 52138, 78756, 50895, 75646, 51032, 50851, 51207, 67869, 51891, 51309, 52064, 59948, 71657, 51207, 50892, 53122, 51724, 51098, 50993, 51707, 51423, 52554, 51328, 50847, 51432, 50441, 52521, 59503, 51444, 51074, 60846, 78792, 63614, 52682, 54651, 51891, 50995, 50935, 63671, 50817, 51439, 50834, 51076, 57764, 51707, 50933, 53122, 68168, 51078, 52378, 51131, 51079, 51444, 51145, 52521, 58631, 51273, 50980, 52131, 50941, 50850, 71364, 51997, 67512, 53154, 51432, 50453, 51997, 50827, 51967, 65603, 51007, 64360, 51131, 50844, 62326, 52130, 54424, 51891, 51749, 50850, 75544, 50817, 51840, 50811, 54039, 50817, 50947, 56573, 51707, 52059, 50947, 50870, 53058, 65706, 71657, 51207, 50892, 53458, 51072, 51707, 51363, 51951, 50858, 65751, 52731, 50417, 52162, 51254, 50418, 51967, 64682, 78792, 62326, 63614, 51076, 53004, 51707, 50827, 50935, 63671, 50817, 51439, 50835, 53122, 54080, 51707, 50864, 52682, 62115, 50929, 51884, 50425, 51725, 51645, 51574, 51645, 50426, 51461, 51377, 52181, 51645, 52064, 57781, 51707, 51074, 65425, 51207, 50941, 52130, 65838, 50847 ]

[ 0, 713, 1769, 12, 20764, 5175, 1349, 6, 30291, 19, 10, 25306, 27456, 6, 16, 10, 765, 53, 913, 2650, 15229, 4, 660, 10170, 1499, 6, 2020, 3548, 6, 8, 5627, 16776, 1962, 1572, 7, 1045, 10, 2216, 34753, 11739, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 3185, 30, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 272, 6, 83, 6, 8, 211, 4, 20, 6711, 16, 2933, 8, 20425, 6, 19, 15352, 30054, 4785, 1271, 41, 9066, 2842, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 62967, 50889, 51224, 50889, 51553, 50889, 53653, 51077, 51871, 67297, 62967, 71470, 50889, 51553, 55112, 62967, 53912, 51224, 50889, 51553, 50889, 53653, 50889, 51871, 55480, 50756, 50287, 55082, 51224, 50805, 51553, 50805, 53653, 50889, 52939, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51553, 50889, 53342, 50889, 51908, 54243, 63812, 71470, 50889, 51553, 50889, 53342, 50889, 51666, 55112, 63812, 53912, 51224, 50889, 51553, 50889, 53342, 50889, 51666, 55480, 50756, 50289, 55082, 51224, 50805, 51553, 50805, 53342, 50889, 52330, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51553, 50889, 57027, 50889, 52330, 54243, 50756, 50287, 71470, 50889, 51553, 50889, 57027, 50889, 51908, 55112, 50756, 50287, 53912, 51224, 50889, 51553, 50889, 57027, 50889, 51666, 55480, 50756, 50282, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 52330, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 51077, 51994, 67297, 62967, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 62967, 53912, 51224, 52476, 50579, 50808, 53653, 50889, 51994, 67480, 51224, 52476, 50579, 52711, 50756, 50287, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53653, 50889, 51873, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 50805, 52330, 52864, 57027, 51141, 51666, 74978, 50756, 50287, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 55112, 50756, 50287, 53912, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 50889, 51666, 55480, 50756, 50282, 55082, 51224, 71470, 50805, 51553, 50805, 51553, 50805, 57027, 50889, 51666, 55069, 62967, 71470, 71470, 50805, 51553, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 50889, 51908, 54243, 62967, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 50889, 51666, 55112, 50756, 50289, 53912, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 50889, 51531, 55480, 50756, 50289, 55082, 51224, 71470, 50805, 51553, 50805, 51553, 50805, 53653, 50889, 52330, 55069, 56596, 71470, 71470, 50805, 51553, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 50805, 51873, 52864, 53342, 50805, 51873, 52483, 63812, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 51538, 51873, 51538, 50432, 63812, 53912, 51224, 52476, 50579, 54134, 51224, 52476, 50579, 52711, 50756, 50289, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 52961, 63812, 59571, 72575, 50805, 52060, 50805, 50799, 63812, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 50889, 51873, 54243, 63812, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 50889, 53342, 50889, 51873, 50889, 51666, 50889, 52368, 50889, 53375, 55112, 63812, 53912, 51224, 52476, 50579, 50808, 52619, 50889, 51994, 50889, 51908, 50889, 51871, 50889, 54399, 67480, 51224, 52476, 50579, 52711, 50756, 50289, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53438, 50889, 52939, 50889, 52368, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51553, 50889, 53653, 51077, 51994, 51077, 51871, 51077, 53375, 67297, 62967, 71470, 50889, 51553, 55112, 62967, 53912, 51224, 50889, 51553, 50889, 53653, 50889, 51994, 50889, 51871, 50889, 53375, 55480, 50756, 50287, 55082, 51224, 50805, 51553, 50805, 53653, 50889, 53438, 50889, 52939, 50889, 53375, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51553, 50889, 53342, 50889, 52619, 50889, 51908, 50889, 54237, 54243, 63812, 71470, 50889, 51553, 50889, 53342, 50889, 51666, 50889, 54237, 55112, 63812, 53912, 51224, 50889, 51553, 50889, 53342, 50889, 51666, 50889, 54237, 55480, 50756, 50289, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 53342, 50889, 52330, 50889, 54399, 50889, 54237, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51553, 50889, 57027, 50889, 52330, 50889, 54399, 54243, 50756, 50287, 71470, 50889, 51553, 50889, 57027, 50889, 52619, 50889, 51908, 50889, 54399, 55112, 50756, 50287, 53912, 51224, 50889, 51553, 50889, 57027, 50889, 53342, 50889, 51666, 50889, 54399, 55480, 50756, 50284, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 52330, 50889, 54399, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53653, 51077, 51994, 51077, 51871, 51077, 53375, 67297, 62967, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 62967, 53912, 51224, 52476, 50579, 50808, 53653, 50889, 51994, 50889, 51871, 50889, 53375, 67480, 51224, 52476, 50579, 52711, 50756, 50287, 50889, 51224, 52476, 50579, 53668, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53653, 50889, 51873, 50889, 52368, 50889, 53375, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51553, 50889, 57027, 50889, 52330, 50889, 54399, 54243, 50756, 50287, 71470, 50889, 51553, 50889, 57027, 50889, 52619, 50889, 51908, 50889, 54399, 55112, 50756, 50287, 53912, 51224, 50889, 51553, 50889, 57027, 50889, 53342, 50889, 51666, 50889, 54399, 55480, 50756, 50282, 55082, 51224, 50805, 51553, 50805, 57027, 50889, 52330, 50889, 54399, 55069, 62967, 71470, 50805, 51553, 50805, 50799, 62967, 50889, 51224, 50889, 51553, 50889, 53653, 50889, 51531, 50889, 53375, 54243, 62967, 71470, 50889, 51553, 50889, 57027, 50889, 53653, 50889, 52330, 50889, 54399, 50889, 53375, 55112, 50756, 50289, 53912, 51224, 50889, 51553, 50889, 53653, 50889, 51873, 50889, 52368, 50889, 53375, 55480, 50756, 50289, 55082, 51224, 50805, 51553, 50805, 53653, 50889, 51994, 50889, 51871, 50889, 53375, 55069, 56596, 71470, 50805, 51553, 50805, 50799, 63812, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 53342, 51077, 51873, 51077, 54237, 51623, 50426, 63812, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 63812, 53912, 51224, 52476, 50579, 50808, 53342, 50805, 51873, 60132, 51224, 52476, 50579, 52711, 50756, 50289, 50889, 51224, 52476, 50579, 50808, 53342, 50805, 52330, 50805, 54237, 59414, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 53653, 50889, 51873, 50889, 53375, 55069, 63812, 71470, 50805, 51553, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 51077, 51994, 51077, 54399, 67297, 50756, 50287, 71470, 50889, 51224, 50889, 51553, 50889, 51553, 55112, 62967, 53912, 51224, 52476, 50579, 50808, 51994, 50805, 52330, 60132, 51224, 52476, 50579, 52711, 62967, 50889, 51224, 52476, 50579, 50808, 51873, 50805, 51531, 59414, 51224, 52476, 50579, 52741, 51224, 50805, 51553, 50805, 51873, 50805, 51531, 52961, 55338, 59571, 72575, 50805, 52060, 50805, 51994, 50805, 52330, 50805, 50799, 50756, 50287, 50889, 51224, 50889, 51224, 50889, 51553, 50889, 51553, 50889, 57027, 51077, 51994, 67297, 50756, 50287, 59571, 50889, 51456, 50889, 52060, 50889, 52060, 55112, 50756, 50287, 53912 ]

[ 0, 713, 17627, 17274, 3495, 3152, 2214, 16, 686, 7, 342, 10, 6675, 15, 110, 652, 19, 63, 1372, 8, 33558, 16464, 4, 20, 13305, 8, 2382, 3459, 8669, 483, 5, 33301, 6, 2800, 30, 5, 12989, 2810, 9, 21072, 8, 31391, 1672, 9590, 6, 19, 5, 326, 5638, 18026, 1271, 10, 2216, 2842, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 20902, 12447, 1001, 20889, 6, 42, 765, 53, 4045, 8859, 1575, 10, 33215, 16739, 9, 230, 6, 211, 119, 6, 272, 406, 6, 8, 274, 73, 534, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 71412, 51030, 52394, 50860, 51280, 51790, 51144, 51790, 51119, 51790, 51132, 51091, 60211, 52054, 52871, 52194, 50880, 52394, 51864, 54252, 52194, 50930, 52394, 52329, 52194, 50936, 52394, 51030, 74627, 52194, 50893, 52394, 50879, 51132, 53097, 70015, 51132, 51091, 59159, 52194, 50865, 52394, 51138, 51876, 51242, 57491, 52194, 50936, 52394, 50938, 51280, 51221, 51144, 51221, 51119, 51221, 63904, 52194, 50936, 52394, 51138, 51132, 50862, 51892, 50799, 54006, 50980, 53580, 50980, 51280, 50978, 51144, 50978, 51119, 50978, 51132, 51091, 64112, 51280, 50942, 51144, 50942, 51119, 50942, 56889, 54006, 50924, 53580, 50948, 74627, 54006, 50806, 53580, 50893, 51280, 51183, 51144, 51183, 51119, 51183, 51132, 53959, 51373, 53614, 51132, 51364, 59159, 54006, 50924, 53580, 50948, 57491, 54006, 51030, 53580, 50936, 71682, 54403, 54006, 50948, 53580, 51138, 51132, 53704, 56558, 50810, 73230, 50938, 52228, 51138, 51280, 51452, 51144, 51452, 51119, 51452, 51132, 50983, 64112, 52488, 50887, 52228, 50962, 78169, 52488, 50880, 52228, 56667, 52488, 51030, 52228, 50924, 74627, 52488, 50806, 52228, 50806, 51132, 53959, 70015, 51132, 51204, 59159, 52488, 50936, 52228, 51030, 51876, 50892, 57491, 52488, 50865, 52228, 51030, 51280, 50873, 74043, 51119, 50873, 63904, 52488, 50936, 52228, 50865, 51132, 50854, 51892, 50799, 52178, 51761, 52194, 51274, 53459, 51274, 53628, 51274, 52394, 51761, 51979, 51552, 51280, 51538, 51144, 51538, 51119, 51538, 51132, 51294, 55032, 56911, 65250, 53917, 51132, 53933, 70015, 52194, 50936, 52394, 50948, 51132, 51364, 57986, 55701, 53012, 53743, 52194, 51030, 52394, 50865, 51144, 51753, 50804, 50812, 52612, 53140, 52148, 50936, 53880, 51030, 51119, 51481, 51224, 55874, 51224, 52863, 51866, 52500, 54512, 52500, 51132, 50379, 53120, 52567, 51224, 50810, 61310, 51218, 51099, 51218, 51308, 51218, 51137, 51204, 60211, 52054, 64540, 52921, 51083, 51090, 51061, 51090, 74627, 51869, 51101, 51137, 53530, 70015, 51198, 51178, 51099, 51178, 51308, 51178, 51137, 51191, 55159, 51180, 53140, 51083, 50896, 51061, 50896, 51198, 50830, 79091, 51308, 50830, 63904, 51137, 50925, 51892, 54920, 50983, 64112, 51232, 50977, 51099, 50977, 51308, 50977, 51153, 50977, 56889, 51866, 50936, 54512, 50936, 51557, 50980, 51089, 51112, 74627, 51866, 50924, 54512, 50948, 51964, 51328, 51416, 53097, 51373, 53614, 51866, 51138, 54512, 50865, 51557, 51603, 51089, 51345, 51232, 51101, 51099, 51101, 51308, 51101, 51153, 51101, 51416, 50983, 59159, 51866, 50936, 54512, 50938, 57491, 51702, 50924, 56478, 50924, 51557, 50896, 51083, 51054, 51232, 50942, 51099, 50942, 51308, 50942, 51153, 50942, 71682, 54403, 51866, 50936, 54512, 50936, 51416, 50952, 66871, 50810, 50799, 52148, 55362, 53880, 56769, 51280, 51790, 51144, 51790, 51119, 51790, 51132, 51091, 55032, 71731, 68072, 51282, 50896, 51118, 50896, 51061, 50896, 74627, 51132, 53097, 70015, 51132, 51091, 55159, 51180, 53140, 51282, 50896, 51118, 50896, 51061, 51016, 51280, 51221, 51144, 51221, 51119, 51221, 63904, 51132, 50862, 51892, 60506, 50851, 52894, 51091, 64112, 51280, 50866, 51144, 50866, 51119, 50866, 56889, 51282, 51013, 51118, 51090, 51061, 51090, 74627, 51132, 53959, 51373, 52729, 52194, 51021, 52394, 51021, 51280, 51189, 51144, 51189, 51119, 51189, 51132, 51364, 59159, 52194, 50936, 52394, 50936, 57491, 52148, 50938, 53880, 50865, 71682, 54403, 51866, 54055, 54512, 52500, 51640, 53704, 61382, 61310, 51307, 51099, 51307, 51308, 51307, 51137, 51204, 55032, 71731, 68072, 51557, 51013, 51083, 51090, 74627, 51137, 53530, 70015, 51137, 51191, 55159, 51180, 53140, 51557, 50896, 51083, 51016, 63904, 51137, 50925, 51892, 65100, 51307, 51099, 51307, 51308, 51307, 51153, 51307, 51416, 51204, 55032, 68072, 51866, 51138, 54512, 50948, 51557, 50980, 51089, 51500, 74627, 51866, 51030, 54512, 50938, 51416, 53530, 51373, 52729, 51866, 51030, 54512, 50924, 51557, 51345, 51089, 51345, 51416, 51191, 59159, 51866, 51030, 54512, 51030, 57491, 51702, 50948, 56478, 50936, 51557, 51013, 51083, 51054, 71682, 54403, 51866, 50936, 54512, 51030, 51416, 50925, 57452, 50799, 52148, 51696, 53880, 51469, 51280, 51675, 51144, 51675, 51119, 51675, 51132, 50983, 55032, 71731, 68072, 51282, 50807, 51118, 51090, 51061, 51016, 74627, 51132, 53097, 70015, 51144, 51212, 51132, 50983, 59159, 51119, 50905, 57491, 51282, 50889, 51118, 51054, 51061, 51237, 51153, 50845, 63904, 51435, 50809, 51132, 50952, 51892, 70527, 50925, 51144, 50925, 51119, 50925, 51153, 50925, 51132, 51294, 64112, 51561, 50854, 79633, 72157, 67399, 51892, 51510, 52654, 51702, 50980, 56478, 51500, 51118, 51227, 51341, 50980, 51061, 51603, 50804, 52227, 53917, 51561, 51295, 51144, 51295, 51119, 51295, 51153, 51295, 51132, 53530, 64817, 51724, 51866, 51345, 54512, 50980, 51118, 51500, 51341, 51603, 51020, 51112, 51132, 63524, 62691, 51820, 51224, 51757, 52148, 51345, 53880, 51112, 51118, 50980, 51341, 51603, 51023, 51603, 50791, 56234, 51754, 51132, 50910, 51289, 51049, 50822, 73230, 50936, 52228, 73561, 51077, 51198, 51675, 51144, 51675, 51308, 51675, 51526, 51362, 60211, 52054, 52871, 52488, 52500, 52228, 53241, 51892, 65250, 51628, 51526, 50830, 66921, 51308, 51212, 51132, 50943, 59159, 51083, 63566, 50911, 51193, 51012, 51275, 50905, 57491, 51435, 50845, 51526, 51178, 63904, 51083, 51012, 51061, 51012, 51193, 50805, 51948, 52773, 61382, 61310, 50925, 51494, 50925, 51308, 50925, 51526, 51091, 64112, 51198, 50854, 51494, 50854, 80166, 56889, 52488, 50936, 52228, 51021, 71830, 51193, 51030, 51185, 51030, 70064, 52488, 50936, 52228, 73561, 50936, 51193, 50948, 51185, 50936, 51198, 51295, 51494, 51295, 51308, 51295, 51526, 50849, 52636, 51724, 52488, 50924, 52228, 50865, 51083, 51030, 51193, 50936, 51185, 50948, 51132, 51241, 59159, 52488, 50924, 52228, 50936, 71830, 51193, 51030, 51185, 50865, 52506, 53140, 52488, 50936, 52228, 50924, 51083, 50948, 51193, 50948, 51185, 50948, 63904, 52194, 51745, 52394, 51362, 51083, 51226, 51020, 51541, 51092, 51226, 51132, 50901, 57452, 62673, 50925, 51099, 50925, 51308, 50925, 51275, 50925, 51526, 51362, 52506, 55446, 79633, 67767, 80166, 51275, 50854, 56889, 52178, 51358, 53628, 51685, 51083, 51237, 51020, 51016, 70064, 51144, 51295, 51099, 51295, 51308, 51295, 51275, 51295, 51526, 50830, 57870, 51556, 52729, 51132, 50943, 59159, 51083, 50911, 68865, 57491, 51526, 51178, 63904, 51083, 50879, 51020, 50911, 57452, 73230, 51496, 52228, 51274, 51144, 50925, 51512, 50925, 51308, 50925, 51275, 50925, 51526, 51091, 64112, 71830, 79633, 51512, 50854, 80166, 51275, 50854, 56889, 51061, 50936, 70064, 51193, 50948, 51144, 51295, 51512, 51295, 51308, 51295, 51275, 51295, 51526, 50849, 52636, 51724, 52488, 51345, 52228, 50980, 51061, 51500, 51185, 51345, 51132, 51241, 59159, 52506, 53140, 52488, 51112, 52228, 50980, 51061, 51054, 51185, 50889, 63904, 51132, 50901, 57452, 50799, 52178, 51227, 53628, 51500, 51308, 52335, 51639, 51353, 51516, 51293, 51533, 51191, 52506, 50882, 68072, 52178, 51264, 53628, 51469, 51557, 51274, 51341, 51496, 51020, 50983, 70064, 51533, 50937, 57870, 55511, 51362, 55159, 51180, 53140, 51557, 51237, 51341, 51016, 51020, 51016, 63904, 52746, 51148, 51526, 52773, 61382, 68407, 50822, 51639, 50854, 51516, 50942, 51533, 51294 ]

[ 0, 250, 765, 37903, 9, 15352, 30054, 3495, 930, 19, 10, 7212, 20889, 6, 278, 11, 5, 762, 9, 272, 538, 8, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 272, 6, 230, 6, 3676, 406, 6, 230, 6, 8, 211, 406, 73, 597, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 55895, 60424, 57631, 58835, 55069, 51086, 50805, 56310, 57449, 59460, 58835, 55385, 51086, 52483, 50861, 62530, 68368, 58835, 55112, 50877, 52446, 50899, 67860, 66154, 61471, 55480, 50861, 52596, 51027, 60424, 59460, 58835, 55069, 61795, 54852, 69769, 58835, 62931, 55385, 50871, 52483, 50876, 50805, 51085, 68368, 65934, 55112, 50906, 52446, 51050, 51077, 50900, 74114, 51077, 50931, 51077, 54960, 61552, 72136, 59460, 55385, 50902, 59879, 52483, 51026, 58419, 66950, 65934, 53912, 50931, 69769, 58835, 78599, 55480, 50968, 52596, 50951, 50805, 51324, 57631, 61471, 55069, 50931, 50805, 53997, 56472, 66950, 57631, 67729, 51315, 52483, 51026, 66154, 61471, 55112, 50871, 52446, 51085, 68368, 57631, 58835, 55082, 50861, 50805, 51315, 70156, 58835, 55069, 50877, 50805, 54868, 62525, 66154, 62931, 54243, 51085, 55143, 61552, 56472, 55112, 51120, 57449, 59879, 52446, 51315, 60424, 56472, 65934, 55480, 51050, 62530, 52596, 51026, 58654, 55143, 61471, 55069, 51050, 56876, 50805, 57551, 55143, 56472, 55143, 55385, 51085, 60424, 58654, 52483, 50899, 50805, 51120, 68036, 59460, 55112, 50900, 52446, 51026, 51608, 50303, 62525, 57631, 55082, 61795, 68246, 57631, 55069, 51027, 62530, 50805, 57542, 57260, 55143, 61471, 50889, 53502, 60424, 52483, 50899, 62159, 62159, 61471, 55112, 51378, 56876, 52446, 51026, 55143, 66154, 61471, 55480, 51050, 52596, 51315, 57631, 58835, 66950, 50889, 54868, 56876, 58050, 59879, 52864, 51315, 55143, 61552, 56472, 54243, 51050, 56876, 58050, 55112, 51026, 58654, 55143, 53912, 51027, 56876, 56472, 52815, 51086, 57449, 58050, 58050, 52596, 50916, 62530, 58835, 66950, 55069, 50871, 50805, 54955, 51077, 79721, 50973, 51077, 50902, 61086, 51315, 55143, 55143, 58835, 55480, 51120, 56876, 52596, 51085, 68368, 58419, 58835, 50889, 54197, 62530, 59460, 58835, 51077, 56945, 53184, 51026, 52450, 51050, 57449, 59460, 55112, 51247, 52446, 51085, 51077, 50916, 51077, 79721, 50876, 51077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 33558, 5175, 1349, 6, 30291, 19, 4785, 9, 3495, 6, 16, 10, 765, 53, 4045, 15229, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 5, 2216, 4069, 9, 2020, 3548, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 5, 2214, 25935, 1626, 227, 5, 40286, 9, 274, 8, 163, 428, 6, 2351, 10, 33928, 8, 15352, 30054, 5466, 14, 18, 157, 12, 9228, 4560, 13, 2365, 50, 4579, 38270, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50791, 64969, 51544, 55316, 50886, 51570, 64757, 52320, 55316, 50886, 50799, 52146, 50812, 53937, 50978, 52006, 51053, 72957, 50373, 52526, 50864, 51390, 50812, 52000, 50978, 50418, 52146, 50829, 51390, 53203, 52162, 50851, 52131, 50907, 52146, 57837, 55316, 50886, 51322, 50851, 51256, 50907, 51390, 50977, 51510, 55316, 53935, 52391, 50866, 59235, 56029, 53345, 54218, 54218, 50840, 74747, 52286, 54150, 52162, 50822, 52391, 50977, 52131, 50851, 52470, 52470, 51322, 50822, 51408, 50977, 51256, 50851, 51556, 55316, 53980, 52146, 50917, 53937, 55503, 53345, 50840, 51390, 50917, 52000, 54758, 52162, 50874, 52146, 50813, 52131, 50984, 52470, 52470, 51322, 50874, 51390, 50813, 51256, 60979, 52146, 50827, 52470, 52470, 51390, 52989, 59235, 50851, 52879, 68108, 52773, 52467, 54218, 50840, 52286, 50851, 51893, 62214, 52162, 50822, 52131, 50851, 52470, 52470, 51322, 50822, 51256, 50851, 51621, 55316, 50886, 50799, 59235, 50959, 51891, 60175, 52773, 50809, 52286, 50959, 51334, 59771, 52344, 50874, 52131, 50851, 51891, 51559, 64757, 51451, 50874, 51256, 50851, 51334, 53910, 51891, 55316, 55316, 50886, 51334, 53935, 59235, 50827, 51997, 50866, 52006, 51053, 54218, 54218, 50840, 52286, 50827, 51229, 53961, 52344, 50827, 52131, 50827, 51997, 55325, 55316, 50886, 51451, 50827, 51256, 50827, 51229, 50866, 51556, 64757, 50438, 59235, 50874, 51891, 60175, 52773, 50809, 52286, 50874, 51334, 59352, 52344, 50904, 52131, 51126, 51891, 51559, 55316, 50886, 51451, 50904, 51256, 51126, 51334, 54417, 51891, 55316, 55316, 50886, 51334, 54105, 59235, 51142, 53457, 51363, 52006, 51053, 54218, 52467, 50809, 52286, 51142, 52031, 71834, 52344, 50822, 52131, 50827, 52470, 52470, 51451, 50822, 51256, 50827, 51621, 64757, 50799, 53937, 50810, 52146, 50925, 52006, 51053, 50840, 52000, 50810, 51390, 50925, 50419, 52146, 50834, 51390, 53403, 52162, 50851, 52131, 50984, 52146, 54042, 55316, 50886, 51322, 50851, 51256, 50984, 51390, 50901, 51510, 55316, 53935, 59235, 50874, 52391, 50987, 52006, 51053, 54218, 54218, 50840, 52286, 50874, 51408, 60539, 52162, 50844, 52131, 50827, 52391, 50977, 52470, 52470, 51322, 50844, 51256, 50827, 51408, 50977, 51556, 64757, 50438, 53937, 50822, 52146, 58493, 52773, 50809, 52000, 50822, 51390, 59187, 52162, 50827, 52146, 50813, 52131, 55918, 55316, 50886, 51322, 50827, 51390, 50813, 51256, 60979, 52146, 50886, 52470, 52470, 51390, 54105, 59235, 50827, 52879, 51312, 52006, 51053, 54218, 54218, 50840, 52286, 50827, 51893, 51312, 50456, 52162, 50822, 52131, 50912, 52470, 52470, 51322, 50822, 51256, 50912, 51621, 55316, 50886, 50799, 59235, 50878, 51891, 50845, 52006, 51053, 50840, 52286, 50878, 51334, 54644, 52146, 54447, 55316, 50886, 51390, 56174, 53457, 50844, 52470, 52470, 52031, 53450, 52146, 58493, 52773, 52467, 54218, 50840, 51390, 56504, 53476, 50907, 52344, 50874, 52131, 50827, 51891, 57837, 55316, 50886, 51664, 50907, 51451, 50874, 51256, 50827, 51334, 50977, 51556, 55316, 53980, 53937, 50822, 52391, 54312, 53345, 50840, 52000, 50822, 51408, 50854, 51180, 64757, 51618, 55316, 54105, 53937, 50827, 52162, 50827, 52391, 50866, 52131, 54352, 53345, 54218, 54218, 50840, 52000, 50827, 51322, 50827, 74747, 51256, 53176, 50804, 55924, 55316, 55316, 50886, 52198, 54597, 50862, 52470, 52470, 50799, 53937, 50864, 52146, 54355, 53345, 50840, 52000, 50864, 51390, 59240, 52146, 50857, 51390, 54657, 52162, 50912, 52131, 50984, 52146, 50892, 52470, 52470, 51322, 50912, 51256, 50984, 51390, 50892, 51510, 55316, 53935, 52391, 51058, 59235, 56029, 53345, 54218, 54218, 50840, 51408, 51058, 52286, 54150, 52162, 50874, 52391, 50987, 52131, 53156, 55316, 50886, 51322, 50874, 51408, 50987, 51256, 50851, 51556, 55316, 53980, 53937, 50827, 52146, 50857, 52391, 55503, 53345, 50840, 52000, 50827, 51390, 50857, 51408, 59356, 52391, 51000, 52146, 50813, 51408, 51000, 51390, 53524, 52162, 50904, 52131, 50971, 52391, 50886, 52146, 57837, 55316, 50886, 51322, 50904, 51256, 50971, 51408, 50886, 51390, 50977, 51618, 55316, 54105, 59235, 50912, 52391, 50974, 52146, 50892, 52879, 51312, 52006, 51053, 54218, 54218, 50840, 52286, 50912, 51408, 50974, 51390, 50892, 51893, 51312, 50456, 52162, 50822, 52131, 50827, 52470, 52470, 51322, 50822, 51256, 50827, 51621, 64757, 50799, 59235, 50822, 51891, 50886, 51997, 55642, 53345, 50840, 52286, 50822, 51334, 50886, 51229, 59834, 51997, 50904, 51891, 50864, 51229, 50904, 51334, 54202, 52344, 50827, 52131, 50827, 51997, 50874, 51891, 50866, 52470, 52470, 51451, 50827, 51256, 50827, 51229, 50874, 51334, 50866, 51510, 64757, 50426, 53476, 50851, 51997, 50977, 52006, 51053, 54218, 54218, 50840, 51664, 50851, 51229, 58672, 52344, 50874, 52131, 50851, 51997, 50866, 52470, 52470, 51451, 50874, 51256, 50851, 51229, 50866, 51556, 64757, 50438, 59235, 50851, 51997, 50886, 51891, 54036, 52773, 50809, 52286, 50851, 51229, 50886, 51334, 59138, 75938, 51891, 50864, 51229, 50864, 51334, 54394, 52344, 50827, 52131, 50912, 51997, 51058, 51891, 50866, 52470, 52470, 51451, 50827, 51256, 50912, 51229, 51058, 51334, 50866, 51618, 64757, 50450, 53476, 50827, 51891, 50905, 53457, 51253, 50801, 52773, 52467, 54218, 50840, 51664, 50827, 51334, 50905, 52031, 51253, 50456, 52344, 50874, 52131, 53156, 55316, 50886, 51451, 50874, 51256, 50851, 51621, 55316, 50886, 50799, 53937, 50827, 52391, 50886, 52146, 53959, 52773, 50809, 52000, 50827, 51408, 50886, 51390, 59196, 52391, 50971, 52146, 50867, 51408, 50971, 51390, 55105, 52162, 51210, 52131, 51470, 52391, 51006, 52146, 54068, 55316, 50886, 51322, 51210, 51256, 51470, 51408, 51006, 51390, 50873, 51510, 55316, 53935, 59235, 50912, 52391, 55675, 52773, 52467, 54218, 50840, 52286, 50912, 51408, 53961, 52162, 50822, 52131, 50851, 52391, 50977, 52470, 52470, 51322, 50822, 51256, 50851, 51408, 50977, 51556, 55316, 53980, 53937, 50827, 52391, 50867, 52146, 53959, 53345, 50840, 52000, 50827, 51408, 50867, 51390, 58037, 52391, 51128, 52146, 50886, 51408, 51128, 51390, 54758, 52162, 50874, 52131, 50851, 52391, 51166, 52146, 50901, 52470, 52470, 51322, 50874, 51256, 50851, 51408, 51166, 51390, 50901, 51618, 55316, 54105, 53937, 50874, 52879, 50915, 52006, 51053, 54218, 52467, 50809, 52000, 50874, 51893, 50915, 50451, 52391, 50978, 51408, 63044, 52162, 50822, 52131, 50851, 52470, 52470, 51322, 50822, 51256, 50851, 51621, 55316, 50886, 50799, 59235, 50827, 53476, 50827, 52344, 50827, 52131, 50851, 51997, 50827, 51891, 50987, 52006, 51053, 50840, 52286, 50827, 51664, 50827, 51451, 50827, 51256, 50851, 51229, 50827, 51334, 61062, 52146, 55316, 55316, 50886, 51390, 56037, 53457, 50827, 52470, 52470, 52031, 52580, 52146, 50873, 52006, 51053, 54218, 52467, 50809, 51390, 54259, 52344, 50827, 52131, 50907, 51891, 55325, 55316, 50886, 51451, 50827, 51256, 50907, 51334, 50866, 51556, 64757, 50438, 53937, 50844, 52162, 50874, 52131, 50874, 52391, 55944, 52773, 50809, 52000, 50844, 51322, 50874, 51256, 50874, 51408, 50845, 51180, 64757, 51618, 64757, 50450, 53937, 50810, 52162, 50822, 52131, 50822, 52391, 51194, 52006, 51053, 54218, 54218, 50840, 52000, 50810, 51322, 50822, 51256, 50822, 51408, 51194, 53061, 60705, 51126, 51453, 50864, 51287, 53120, 74072, 50840, 51621, 50886, 52029, 53183, 50380, 53183, 50836, 50799, 53560 ]

[ 0, 250, 765, 6, 20425, 15855, 13305, 37903, 11, 272, 10431, 3694, 19, 10, 748, 1879, 15525, 20889, 6, 4246, 10, 15352, 30054, 648, 2933, 6328, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 6, 7630, 14805, 258, 11098, 8, 10603, 149, 63, 2060, 119, 406, 6, 83, 6, 230, 10431, 6, 8, 163, 33215, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 51324, 51455, 50330, 54644, 51086, 58861, 51399, 53172, 51324, 53387, 51086, 51455, 50330, 53264, 51360, 51455, 50332, 53999, 51040, 59956, 51146, 53562, 51360, 53586, 51040, 51455, 50332, 50845, 54868, 51455, 50334, 50845, 54569, 58861, 50999, 53172, 51120, 53387, 50899, 64510, 53264, 51120, 53999, 50899, 53562, 51120, 51455, 50334, 53586, 50899, 51455, 50336, 50845, 59130, 51455, 50337, 54644, 50989, 58861, 51399, 53172, 51378, 53387, 50989, 51455, 50336, 53264, 51378, 51455, 50337, 53999, 50989, 59956, 51399, 53562, 51378, 53586, 50989, 51455, 50337, 50845, 57551, 51455, 50336, 54644, 50916, 58861, 51220, 53172, 51315, 53387, 50916, 74908, 53264, 51315, 53999, 50916, 51455, 50336, 53562, 51315, 51455, 50334, 53586, 50916, 51455, 50332, 50845, 58066, 51455, 50330, 54644, 51086, 58861, 51399, 53172, 51324, 53387, 51086, 51455, 50330, 53264, 51360, 51455, 50332, 53999, 51040, 59956, 51146, 53562, 51360, 53586, 51040, 51455, 50332, 50845, 54868, 51455, 50334, 50845, 54569, 58861, 50999, 53172, 51120, 53387, 50899, 64510, 53264, 51120, 53999, 50899, 53562, 51120, 51455, 50334, 53586, 50899, 51455, 50336, 50845, 59130, 51455, 50337, 54644, 50989, 58861, 51399, 53172, 51378, 53387, 50989, 51455, 50336, 53264, 51378, 51455, 50337, 53999, 50989, 59956, 51399, 53562, 51378, 53586, 50989, 51455, 50341, 50845, 57551, 51455, 50339, 54644, 50916, 58861, 52128, 53172, 51315, 53387, 50916, 51455, 50336, 53264, 51315, 53999, 50916, 53562, 51315, 51455, 50336, 53586, 50916, 51455, 50332, 50845, 76501, 52128, 53586, 51787, 50845, 57497, 51455, 50332, 54644, 51040, 58861, 51405, 53172, 51360, 53387, 51040, 51455, 50332, 53264, 51197, 51455, 50334, 53999, 50956, 59956, 51430, 53562, 51197, 53586, 50956, 51455, 50334, 50845, 57551, 51455, 50336, 54644, 50916, 58861, 51220, 53172, 51315, 53387, 50916, 74908, 53264, 51315, 53999, 50916, 51455, 50332, 53562, 51378, 51455, 50336, 53586, 50989, 51455, 50338, 50845, 58526, 51455, 50339, 54644, 50965, 58861, 51405, 53172, 51176, 53387, 50965, 51455, 50338, 53264, 51176, 51455, 50339, 53999, 50965, 59956, 51405, 53562, 51176, 53586, 50965, 51455, 50339, 50845, 59130, 51455, 50338, 54644, 50989, 58861, 51399, 53172, 51378, 53387, 50989, 51455, 50329, 53264, 51378, 53999, 50989, 51455, 50338, 53562, 51378, 51455, 50336, 53586, 50989, 51455, 50334, 50845, 57497, 51455, 50332, 54644, 51040, 58861, 51405, 53172, 51360, 53387, 51040, 51455, 50332, 53264, 51197, 51455, 50334, 53999, 50956, 59956, 51430, 53562, 51197, 53586, 50956, 51455, 50334, 50845, 57551, 51455, 50336, 54644, 50916, 58861, 51220, 53172, 51315, 53387, 50916, 74908, 53264, 51315, 53999, 50916, 51455, 50336, 53562, 51378, 51455, 50339, 53586, 50989, 51455, 50341, 50845, 58526, 51455, 50343, 54644, 50965, 58861, 53117, 53172, 51176, 53387, 50965, 51455, 50341, 53264, 51176, 51455, 50343, 53999, 50965, 59956, 53117, 53562, 51176, 53586, 50965, 51455, 50343, 50845, 59130, 51455, 50341, 54644, 50989, 58861, 52052, 53172, 51378, 53387, 50989, 51455, 50338, 53264, 51378, 53999, 50989, 53562, 51378, 51455, 50338, 53586, 50989, 51455, 50334, 50845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 3495, 2214, 19, 10, 19834, 619, 6, 4246, 10, 11739, 9, 13305, 6, 3459, 8669, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 326, 5638, 18026, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 4, 20, 16331, 33215, 16739, 9, 274, 6, 163, 428, 6, 12608, 6, 8, 163, 428, 4620, 5, 46336, 24456, 4, 590, 63, 14899, 8, 33558, 6711, 6, 42, 2125, 7630, 6568, 10, 1472, 9, 11098, 6, 442, 24, 10686, 13, 2365, 50, 1619, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 55881, 76455, 50936, 52191, 50924, 51436, 50936, 51533, 66128, 51197, 53936, 50302, 51021, 52191, 51138, 51436, 60445, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 57611, 51197, 52545, 50302, 51030, 52191, 50948, 51436, 51030, 51533, 52841, 51197, 51919, 50302, 50924, 52191, 50936, 51436, 50924, 51533, 54207, 51197, 79658, 51030, 52191, 50865, 51436, 51030, 51533, 58647, 51197, 52014, 50302, 50936, 52191, 50938, 51436, 57973, 51197, 52545, 50302, 50936, 52191, 50948, 51436, 50936, 51533, 50840, 55881, 53318, 50302, 50938, 52191, 51021, 51436, 50938, 51533, 51241, 50420, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 57327, 51197, 52545, 50302, 50865, 52191, 50948, 51436, 54725, 51197, 52545, 50302, 50948, 52191, 50948, 51436, 50948, 51533, 54431, 51197, 51919, 50302, 51021, 52191, 50936, 51436, 51021, 51533, 72758, 51197, 51919, 50302, 51021, 52191, 50936, 51436, 60919, 51197, 51919, 50302, 51030, 52191, 50936, 51436, 63109, 51197, 53936, 50302, 50948, 52191, 51138, 51436, 50948, 51533, 50859, 55881, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 66128, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 57327, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 57611, 51197, 76455, 50936, 52191, 50924, 51436, 50936, 51533, 53574, 51360, 51919, 50300, 51138, 52899, 50936, 52007, 51138, 51533, 64966, 51360, 52545, 50300, 50924, 52899, 50948, 52007, 58138, 51360, 51919, 50300, 50948, 52899, 50936, 52007, 59465, 51360, 51919, 50300, 50936, 52899, 50936, 52007, 50936, 51533, 50887, 55881, 52545, 50302, 51138, 52191, 50948, 51436, 51138, 51533, 66128, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 57327, 51197, 52545, 50302, 50936, 52191, 50948, 51436, 57611, 51197, 51919, 50302, 51030, 52191, 50936, 51436, 51030, 51533, 52444, 51197, 53751, 50302, 50896, 52191, 51237, 51436, 50896, 51533, 63419, 52194, 50936, 52380, 57973, 51866, 50936, 51979, 50936, 51533, 50890, 50799, 52178, 52282, 52436, 52282, 51197, 51919, 50302, 50936, 51561, 51714, 51099, 51655, 51308, 51264, 52191, 50936, 51436, 50936, 51533, 50983, 60211, 52054, 52871, 51197, 53275, 50302, 50924, 52191, 51030, 51436, 50924, 56889, 51197, 52545, 50302, 51030, 52191, 50948, 51436, 51030, 74627, 51197, 79658, 51138, 52191, 50865, 51436, 51138, 51533, 53959, 70015, 51197, 51919, 50302, 50948, 52191, 50936, 51436, 50948, 51533, 51204, 59159, 51197, 52545, 50302, 50936, 52191, 50948, 51436, 50936, 57491, 52194, 51021, 52380, 53318, 50295, 53318, 50302, 50948, 52191, 51021, 51436, 50948, 63904, 52178, 50865, 52436, 51828, 50295, 53318, 50302, 51021, 52746, 51103, 52191, 51021, 51436, 51021, 51533, 50854, 51892, 50799, 53397, 50936, 53786, 51919, 50295, 52545, 50302, 50936, 51561, 50812, 51099, 50859, 51308, 50952, 52191, 50948, 51436, 50936, 51533, 51294, 64112, 53459, 51364, 53610, 51364, 51197, 51919, 50302, 51138, 51561, 50830, 51099, 50858, 51308, 50925, 52191, 50936, 51436, 51138, 56889, 51197, 53275, 50302, 50865, 52191, 51030, 51436, 50865, 74627, 51197, 52545, 50302, 50936, 51561, 50940, 51099, 50952, 51308, 50865, 52191, 50948, 51436, 50936, 51533, 53933, 51373, 52729, 51197, 53936, 50302, 51030, 52191, 51138, 51436, 51030, 51533, 51364, 59159, 53397, 50865, 53786, 51828, 50295, 76455, 50948, 52746, 51286, 52191, 50924, 51436, 50948, 57491, 53397, 50948, 53786, 52545, 50295, 53318, 50302, 51030, 51561, 51030, 51099, 51033, 51308, 50948, 52191, 51021, 51436, 51030, 71682, 54403, 53397, 50865, 53786, 51828, 50295, 51919, 50302, 51138, 52191, 50936, 51436, 51138, 51533, 53933, 61382, 50799, 53397, 50924, 53786, 51710, 50288, 53275, 50295, 50936, 51280, 51343, 51561, 51343, 51512, 51343, 55821, 51030, 52191, 50936, 51602, 51294, 64112, 52194, 51761, 52380, 51761, 51503, 51710, 50295, 51030, 55821, 50924, 52191, 51030, 56889, 51503, 51919, 50295, 50948, 55821, 50936, 52191, 50948, 74627, 51503, 51710, 50295, 50936, 52477, 51060, 55821, 50924, 52191, 50936, 51602, 53530, 70015, 51503, 51919, 50295, 51021, 51280, 51175, 51561, 51175, 51512, 51175, 55821, 50936, 52191, 51021, 51602, 51141, 59159, 53397, 50936, 53786, 51919, 50288, 53275, 50295, 50865, 55821, 51030, 52191, 50865, 57491, 52194, 50948, 52380, 52545, 50288, 53275, 50295, 51030, 51280, 51014, 51561, 51014, 51512, 51014, 55821, 51030, 52191, 51030, 63904, 53397, 51021, 53786, 53318, 50288, 53936, 50295, 51030, 55821, 51138, 52191, 51030, 51602, 50910, 51892, 50799, 52178, 51685, 52436, 51685, 51197, 51919, 50302, 51030, 51561, 51977, 51099, 51977, 51308, 51977, 52191, 50936, 51436, 51030, 51533, 51294, 64112, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 50936, 56889, 51197, 53936, 50302, 50924, 52191, 51138, 51436, 50924, 74627, 51197, 51919, 50302, 51021, 52191, 50936, 51436, 51021, 51533, 53530, 51373, 52729, 51197, 53275, 50302, 51138, 51561, 51111, 52191, 51030, 51436, 51138, 51533, 51141, 59159, 51197, 76455, 50936, 77578, 52191, 50924, 51436, 50936, 57491, 52194, 50924, 52380, 51710, 50295, 51919, 50302, 51021, 75271, 52191, 50936, 51436, 51021, 71682, 54403, 51866, 50938, 51979, 52014, 50295, 53275, 50302, 50936, 51639, 50962, 52191, 51030, 51436, 50936, 51533, 50910, 57452, 50799, 52178, 50865, 52436, 51828, 50295, 51919, 50302, 50936, 51706, 51358, 51561, 51358, 51099, 51358, 52191, 50936, 51436, 50936, 51533, 51091, 55032, 78594, 52178, 51343, 52436, 51343, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 56889, 51197, 53318, 50302, 50865, 52191, 51021, 51436, 50865, 74627, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 53243, 70015, 51197, 51919, 50302, 50938, 52191, 50936, 51436, 50938, 51533, 51091, 59159, 52178, 50948, 52436, 52545, 50295, 52545, 50302, 50924, 52746, 50805, 52191, 50948, 51436, 50924, 57491, 52194, 51138, 52380, 53936, 50295, 51919, 50302, 51030, 51706, 50893, 51561, 50893, 51099, 50893, 52191, 50936, 51436, 51030, 63904, 52178, 50948, 52436, 52545, 50295, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 50887, 51892, 50799, 53397, 50936, 53786, 51919, 50295, 52545, 50302, 50936, 51706, 52266, 51561, 52266, 51099, 52266, 52191, 50948, 51436, 50936, 51533, 51091, 64112, 53459, 50918, 53610, 50918, 51197, 53275, 50302, 50936, 52191, 51030, 51436, 50936, 56889, 51197, 79658, 50936, 52191, 50865, 51436, 50936, 74627, 51197, 51919, 50302, 50936, 52191, 50936, 51436, 50936, 51533, 52773, 51373, 52729, 51197, 53936, 50302, 50948, 52191, 51138, 51436, 50948, 51533, 51091, 59159, 51197, 51919, 50302, 50865, 51561, 51212, 52191, 50936, 51436, 50865, 57491, 53397, 50924, 53786, 51710, 50295, 52014, 50302, 50936, 51099, 51101, 52191, 50938, 51436, 50936, 71682, 54403, 53397, 51138, 53786, 53936, 50295, 52545, 50302, 51030, 52191, 50948, 51436, 51030, 51533, 54020, 61382, 50799, 53397, 50948, 53786, 52545, 50297, 74824, 50924, 51561, 51977, 51144, 51977, 51119, 51977, 51153, 51977, 51425, 50865, 51223, 50924, 51132, 51204, 64112, 52194, 51196, 52380, 51196, 51050, 77886, 51030, 51425, 50948, 51223, 51030, 56889, 51050, 71327, 50924, 51425, 50936, 51223, 50924, 74627, 51050, 77886, 50865, 51425, 50948, 51223, 50865, 51132, 53530, 70015, 51050, 53936, 50304, 51030, 51144, 51111, 51425, 51138, 51223, 51030, 51132, 51191, 59159, 51050, 53936, 50304, 50924 ]

[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 10, 20535, 2810, 6, 13305, 6, 21072, 6, 18558, 6, 8, 3459, 9590, 6, 2351, 10, 33558, 8, 20425, 2365, 5466, 4, 590, 10, 1769, 20889, 9, 13950, 163, 5683, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 211, 3694, 8, 26584, 1575, 5, 40286, 83, 8, 211, 119, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51570, 53035, 52093, 50799, 52093, 51544, 50828, 52594, 75534, 73957, 50804, 50820, 51450, 53479, 64882, 75534, 74849, 60178, 56150, 64882, 71238, 52210, 50927, 51343, 50446, 56150, 64882, 64549, 52568, 56150, 64882, 71238, 53563, 54961, 50941, 51963, 50941, 52425, 50941, 51888, 50941, 52747, 66585, 52970, 50886, 51913, 50886, 52099, 50886, 52578, 50886, 52366, 57187, 52851, 50813, 51906, 50813, 51888, 50813, 51776, 50813, 53170, 57867, 53152, 50840, 51683, 50840, 52578, 50840, 52002, 50840, 54556, 50840, 71803, 50873, 64483, 51963, 50896, 51648, 50896, 51776, 50896, 52366, 50896, 52991, 50896, 51335, 55202, 60457, 55630, 52100, 56166, 51170, 55795, 53366, 50901, 50953, 59964, 52100, 61141, 55657, 55800, 52002, 50855, 52425, 50855, 52747, 50862, 51683, 50862, 51776, 59548, 57982, 52310, 50813, 52578, 50813, 51906, 50813, 51713, 66796, 51913, 50867, 51888, 56789, 52489, 50864, 52099, 50904, 51963, 50904, 51648, 64408, 53152, 50904, 52425, 50971, 52103, 64463, 51683, 51000, 52851, 51000, 52310, 51126, 52970, 60838, 52785, 50901, 66856, 51906, 51128, 52719, 51128, 51913, 51297, 54961, 78736, 52100, 61141, 52539, 65341, 52489, 51319, 52664, 67490, 51383, 53116, 53366, 50901, 65082, 55865, 51235, 52103, 51460, 51713, 51460, 51383, 55399, 55262, 51383, 53641, 53366, 50901, 65082, 64434, 51238, 52851, 51427, 51888, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 55760, 50901, 62741, 57273, 50879, 52970, 50911, 52099, 63108, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 50799, 56387, 50873, 65557, 59559, 50800, 52719, 50858, 51648, 61757, 53317, 56572, 51170, 54069, 56387, 50873, 50927, 59893, 52100, 58016, 55657, 53087, 51236, 53230, 55760, 50873, 50964, 59893, 51700, 58016, 52539, 55135, 51383, 53116, 56387, 50812, 64319, 66392, 51235, 55912, 51460, 51913, 51460, 50843, 51700, 58016, 55399, 51987, 60464, 51383, 52079, 55186, 55760, 50873, 64584, 50447, 57017, 50991, 52664, 51235, 51683, 51235, 50843, 52240, 58729, 53836, 55254, 56387, 78659, 56593, 52100, 55922, 60715, 50920, 53007, 57279, 50805, 74041, 57273, 50879, 52970, 50911, 52099, 50911, 51240, 53963, 57059, 50920, 54625, 50843, 51700, 51987, 53127, 57962, 50920, 50884, 50799, 56387, 50873, 65557, 59559, 50800, 52719, 50821, 51648, 57802, 60457, 52291, 53843, 52100, 56166, 51170, 55795, 56387, 50873, 50927, 59893, 52100, 61141, 55657, 55800, 51236, 53230, 55760, 50873, 50964, 59893, 52100, 61141, 52539, 57244, 51383, 53116, 56387, 50873, 65557, 64010, 51235, 53152, 51460, 51913, 51460, 52578, 51460, 51383, 55399, 55262, 51383, 53641, 56387, 50849, 59674, 57273, 51238, 52970, 51427, 53152, 51427, 52099, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 52785, 70481, 50923, 57017, 50795, 52664, 50806, 52970, 50806, 51683, 55422, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 71803, 50873, 64483, 59559, 50859, 52719, 50882, 51648, 58462, 53317, 56572, 51170, 54069, 53366, 50849, 50953, 55422, 52100, 58016, 55657, 53087, 59559, 50859, 52719, 50882, 51648, 63973, 53230, 52785, 50849, 68171, 54961, 50904, 51963, 50904, 52425, 50904, 51888, 50904, 52747, 55217, 52942, 51700, 58016, 56565, 52970, 50857, 51913, 50857, 52099, 50857, 52578, 50857, 52366, 56579, 52851, 50836, 51906, 50836, 51888, 50836, 51776, 50836, 53170, 54472, 75534, 73957, 53152, 50887, 51683, 50887, 52578, 50887, 52002, 50887, 54556, 53988, 52600, 53366, 50808, 76894, 51963, 50950, 51648, 50950, 51776, 50950, 52366, 50950, 52991, 50388, 52638, 53589, 53317, 56410, 53756, 53479, 64882, 64676, 74849, 52267, 50927, 51364, 52612, 75534, 50961, 57048, 52725, 53366, 50808, 51963, 50950, 51648, 50950, 51776, 50950, 52366, 50950, 52991, 50388, 52638, 56152, 54749, 53479, 64882, 64676, 74849, 54365, 55399, 52349, 54961, 50941, 51963, 50941, 52425, 50941, 51888, 50941, 52747, 66585, 52970, 50886, 51913, 50886, 52099, 50886, 52578, 50886, 52366, 57187, 52851, 50813, 51906, 50813, 51888, 50813, 51776, 50813, 53170, 57867, 53152, 50840, 51683, 50840, 52578, 50840, 52002, 50840, 54556, 50840, 71803, 50849, 58918, 51963, 50896, 51648, 50896, 51776, 50896, 52366, 50896, 52991, 50896, 51335, 55202, 60457, 55630, 52100, 56166, 51170, 55795, 53366, 50849, 61254, 50843, 52100, 61141, 55657, 55800, 52002, 50855, 52425, 50855, 52747, 50862, 51683, 50862, 51776, 59548, 57982, 52310, 50813, 52578, 50813, 51906, 50813, 51713, 66796, 51913, 50867, 51888, 56789, 52489, 50864, 52099, 50904, 51963, 50904, 51648, 64408, 53152, 50904, 52425, 50971, 52103, 64463, 51683, 51000, 52851, 51000, 52310, 51126, 52970, 60838, 52785, 50849, 68171, 51906, 51128, 52719, 51128, 51913, 51297, 54961, 78736, 52100, 61141, 52539, 65341, 52489, 51319, 52664, 67490, 51383, 53116, 53366, 50901, 64483, 55865, 51235, 52103, 51460, 51713, 51460, 51383, 55399, 55262, 51383, 53641, 53366, 50901, 65082, 64434, 51238, 52851, 51427, 51888, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 55760, 50849, 61499, 57273, 50879, 52970, 50911, 52099, 63108, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 50799, 56387, 50873, 65557, 59559, 50800, 52719, 50858, 51648, 61757, 53317, 56572, 51170, 54069, 56387, 50873, 50927, 59893, 52100, 58016, 55657, 53087, 51236, 53230, 55760, 50849, 50964, 55422, 51700, 58016, 52539, 55135, 51383, 53116, 56387, 50854, 70429, 66392, 51235, 55912, 51460, 51913, 51460, 50843, 51700, 58016, 55399, 51987, 60464, 51383, 52079, 55186, 55760, 50849, 61499, 50447, 57017, 50991, 52664, 51235, 51683, 51235, 50843, 52240, 58729, 53836, 55254, 56387, 50812, 50927, 54429, 52100, 55922, 60715, 50920, 53007, 57279, 50901, 72932, 57273, 50879, 52970, 50911, 52099, 50911, 51240, 53963, 57059, 50920, 54625, 50843, 51700, 51987, 53127, 57962, 50920, 50884, 50799, 56387, 50849, 61485, 59559, 50800, 52719, 50821, 51648, 57802, 60457, 52291, 53843, 52100, 56166, 51170, 55795, 56387, 50849, 50927, 55422, 52100, 61141, 55657, 55800, 51236, 53230, 55760, 68152, 59434, 52100, 61141, 52539, 57244, 51383, 53116, 56387, 50849, 61485, 64010, 51235, 53152, 51460, 51913, 51460, 52578, 51460, 51383, 55399, 55262, 51383, 53641, 56387, 50849, 61485, 57273, 51238, 52970, 51427, 53152, 51427, 52099, 51427, 50843, 52100, 57095, 53836, 55254, 51236, 53563, 52785, 70481, 50923, 57017, 50795, 52664, 50806, 52970, 50806, 51683, 55422, 51700, 55303, 53963, 65083, 51170, 54359, 51170, 58660, 51170, 50846, 71803, 50812, 76894, 55282, 50950, 51963, 50950, 51776, 50950, 56582, 50388, 52638, 62394, 69804, 56379, 55222, 74849, 55221, 53366, 50833, 70802, 55282, 50858, 51963, 50858, 51776, 50858, 56582, 70159, 59376, 56581, 57893, 74849, 54446, 53366, 50808, 76894, 55282, 50894, 71737, 73026, 56582, 77900, 59717, 55549, 57893, 74849, 53855, 53366, 50812, 76894, 55282, 50821, 51963, 50821, 51776, 50821, 56582, 59807, 59717, 56581, 60457, 50384, 53746, 54974, 53366, 50812, 68489, 55282, 50882, 51963, 50882, 51776, 50882, 56582, 67372, 58514, 56581, 59658, 50384, 53746, 54483, 53366, 50808, 74511, 55282, 50950, 51963, 50950, 51776, 50950, 56582, 56701, 75534, 73957, 50804, 52600, 53366, 60997, 50950, 55282, 50950, 51963, 50950, 51776, 50950, 56582, 54168, 53479, 64882, 75534, 64494, 58514, 56581, 57893, 50383 ]

[ 0, 250, 765, 15855, 19834, 2125, 14, 7630, 6568, 10, 4845, 119, 27633, 8, 15352, 30054, 6711, 4, 85, 1575, 10, 5921, 3343, 1290, 642, 5255, 6, 13305, 6, 12280, 3275, 1725, 3109, 6, 4401, 757, 3178, 6, 8, 3459, 13305, 6, 70, 816, 561, 11, 20299, 4, 20, 2214, 16, 11, 274, 538, 8, 34, 10, 20889, 9, 5962, 163, 5683, 36, 7083, 4308, 1001, 322, 85, 3905, 10, 33215, 16739, 9, 211, 119, 406, 6, 272, 119, 1176, 406, 6, 211, 119, 406, 6, 8, 272, 401, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51120, 50859, 53368, 50808, 50664, 50285, 59722, 51120, 73888, 51120, 50859, 53059, 62779, 51120, 66086, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 68624, 52631, 61055, 51120, 50859, 50440, 53368, 50808, 50664, 50285, 57152, 53059, 53987, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 77741, 52631, 50808, 51601, 51120, 50859, 50418, 51120, 50859, 53368, 50808, 50664, 50285, 50894, 50421, 51120, 68208, 51120, 50859, 53059, 69004, 51120, 67803, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 55734, 52631, 50910, 50441, 51120, 54811, 53368, 50808, 50664, 50285, 68933, 53059, 63848, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 51809, 52631, 69989, 51120, 73050, 51085, 50859, 53368, 50808, 50664, 50285, 54631, 51085, 58129, 51085, 50859, 53059, 52559, 51085, 56535, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50442, 52631, 62236, 51085, 71977, 53368, 50808, 50664, 50285, 50894, 50455, 53059, 62923, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 52591, 52631, 53184, 51085, 66086, 51085, 50859, 53368, 50808, 50664, 50285, 50894, 50430, 51085, 68484, 51085, 50859, 53059, 63116, 51085, 50859, 50440, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 69389, 52631, 63771, 51085, 59682, 51440, 51003, 56318, 51090, 53368, 50808, 50664, 50285, 54712, 50665, 50287, 57308, 53059, 50808, 52478, 51434, 51003, 55076, 51090, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50424, 52631, 60262, 51085, 67803, 51120, 50859, 52176, 52122, 54999, 52122, 51515, 52069, 57118, 53241, 53368, 50808, 50664, 50285, 68624, 51120, 65582, 51120, 50859, 53059, 50808, 50440, 51120, 54811, 53368, 50910, 50664, 50285, 51014, 50665, 50287, 61208, 52631, 64998, 51120, 67557, 53368, 50808, 50664, 50285, 50894, 51601, 53059, 64997, 51660, 51003, 55906, 51090, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50428, 52631, 52559, 51120, 56535, 51120, 50859, 51515, 51183, 57118, 51551, 53368, 50808, 50664, 50285, 55734, 51120, 61032, 51120, 50859, 53059, 62236, 51120, 71977, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50454, 52631, 61963, 51120, 66879, 51434, 51177, 55076, 51286, 53368, 50808, 50664, 50285, 50894, 53069, 51440, 51177, 56318, 51286, 53059, 52450, 51434, 51177, 55076, 51286, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 79726, 51515, 51177, 57118, 51286, 52631, 63116, 51120, 66905, 51085, 50859, 51964, 52122, 56163, 52122, 51660, 52069, 55906, 53241, 53368, 50808, 50664, 50285, 50894, 50442, 51085, 70292, 51085, 50859, 53059, 63771, 51085, 50859, 50452, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 57308, 52631, 50808, 53997, 59176, 53368, 50808, 50664, 50285, 50894, 50424, 53059, 60133, 51515, 51003, 57118, 51090, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 77451, 52631, 50808, 50440, 51085, 72915, 51085, 50859, 51434, 51183, 55076, 51551, 53368, 50808, 50664, 50285, 69389, 51085, 54721, 51085, 50952, 53059, 79179, 51085, 54418, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 51601, 52631, 63814, 51085, 73888, 51440, 51003, 53489, 51013, 52235, 50943, 53368, 50808, 50664, 50285, 50894, 50428, 53059, 50808, 50664, 50285, 68624, 51434, 51003, 53074, 51013, 51992, 50943, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 58909, 52631, 50808, 50664, 50285, 54952, 51120, 56762, 51120, 50859, 52176, 52122, 54999, 52122, 51515, 51692, 53328, 51933, 51850, 51518, 53368, 50808, 50664, 50285, 68933, 51120, 65601, 51120, 50859, 53059, 63848, 51120, 70886, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 53069, 52631, 64997, 51120, 68208, 53368, 50808, 50664, 50285, 54440, 51434, 50854, 53074, 50859, 51992, 50833, 53059, 53263, 51515, 50854, 53328, 50859, 51850, 65833, 51279, 50859, 51660, 51003, 53385, 51013, 51971, 50943, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 78552, 51085, 50859, 52631, 72724, 51120, 50859, 51515, 51003, 53328, 51013, 51850, 50943, 53368, 50808, 50664, 50285, 50894, 50455, 51120, 67383, 51120, 50859, 53059, 62923, 51120, 50859, 52177, 51614, 51003, 52779, 51013, 51760, 50943, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 57852, 52631, 52450, 51120, 65337, 51434, 51177, 53074, 51158, 51992, 51121, 53368, 50808, 50664, 50285, 79612, 51614, 51177, 52779, 51158, 51760, 51121, 53059, 67157, 51440, 51177, 53489, 51158, 52235, 51121, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 75557, 51614, 51177, 52779, 51158, 51760, 51121, 52631, 72724, 51120, 54418, 51085, 50952, 51964, 52122, 56163, 52122, 51607, 51003, 54122, 51013, 53085, 50943, 53368, 50910, 50664, 50285, 51014, 50459, 51085, 50859, 53997, 50859, 53059, 63814, 51085, 73888, 51440, 51562, 53489, 51472, 52235, 51417, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50427, 52631, 66084, 51085, 68974, 53368, 50808, 50664, 50285, 50894, 50440, 51440, 51177, 53489, 51158, 52235, 51121, 53059, 53668, 51214, 50859, 51607, 51177, 54122, 51158, 53085, 51121, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 56328, 51279, 50859, 51440, 50854, 53489, 50859, 52235, 50833, 52631, 63848, 51607, 50854, 54122, 50859, 53085, 72070, 51085, 50859, 52327, 51177, 57961, 51158, 56176, 51121, 53368, 50808, 50664, 50285, 50894, 51601, 51085, 50859, 50418, 51085, 50859, 52043, 51177, 62133, 51158, 56185, 51121, 53059, 64997, 51085, 68208, 51607, 52069, 54122, 52392, 53085, 51945, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50431, 52631, 53263, 51085, 59646, 53368, 50808, 50664, 50285, 58909, 50665, 50287, 78552, 53059, 66372, 51085, 68523, 51279, 50859, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 67516, 51085, 50859, 52631, 50808, 51809, 51120, 50859, 52176, 52122, 54999, 52122, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 50894, 50419, 51120, 55747, 51120, 50859, 52242, 50854, 52044, 50854, 52342, 50833, 53059, 52450, 51120, 58129, 52049, 50854, 51975, 50854, 52416, 50833, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 79612, 52631, 63038, 51120, 71476, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 75557, 53059, 67230, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50799, 52049, 50942, 51975, 50942, 52416, 50925, 52631, 50910, 50417, 51120, 54681, 51120, 50859, 53368, 50808, 50664, 50285, 50894, 50424, 51120, 66086, 51120, 50859, 52242, 50854, 52044, 50854, 52342, 50833, 53059, 60133, 51120, 68484, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 50440, 52049, 50854, 51975, 50854, 52416, 50833, 52631, 67157, 51120, 70292, 53324, 51003, 53634, 51003, 52416, 50943, 53368, 50808, 50664, 50285, 56328, 53059, 50808, 50664, 50285, 54712, 50664, 50285, 57308, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 50894, 52478, 52631, 50808, 50664, 50285, 50894, 50421, 51120, 72417, 51085, 50859, 51964, 52122, 56163, 52122, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 50894, 50428, 51085, 67803, 51085, 50859, 52242, 50854, 52044, 50854, 52342, 50833, 53059, 59979, 51085, 65582, 52049, 50854, 51975, 50854, 52416, 50833, 53368, 50808, 50664, 50285, 50894, 50665, 50287, 54952, 52631, 53668, 51085, 68523, 52242, 50854, 52044, 50854, 52342, 50833, 53368, 50808, 50664, 50285, 50894, 50454, 50664, 50285, 74653, 53059, 50808 ]

[ 0, 250, 29475, 8, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 278, 11, 10, 2635, 155, 73, 306, 86, 6543, 4, 20, 13305, 5723, 5, 3722, 2408, 9, 5, 2125, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 5581, 4, 96, 5, 762, 9, 230, 3694, 6, 5, 40286, 163, 428, 8, 12608, 119, 146, 12577, 4961, 6, 1271, 7, 5, 16487, 1943, 5466, 4, 590, 10, 226, 22740, 20889, 6, 42, 2214, 1239, 63, 86, 7, 21815, 6, 2455, 5, 30443, 7, 1950, 4356, 2089, 1090, 11, 63, 25306, 8, 36355, 2088, 5252, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50622, 51176, 59920, 67898, 64452, 52410, 51176, 59920, 67898, 64452, 52038, 51197, 74940, 69382, 51009, 50861, 62398, 53663, 51176, 68678, 58987, 50824, 77575, 59920, 67898, 64452, 52410, 51176, 59920, 67898, 64452, 52038, 51197, 71863, 67898, 56893, 58503, 52030, 51176, 64452, 57593, 52125, 51360, 50802, 51176, 56798, 64452, 67797, 52313, 51360, 50802, 51176, 56798, 64452, 67797, 50802, 51034, 51360, 51184, 51176, 51184, 50871, 51184, 50965, 51184, 51028, 51184, 51018, 70562, 59920, 67898, 64452, 57593, 52030, 51176, 59920, 67898, 64452, 57593, 52125, 51176, 59920, 67898, 64452, 57593, 52313, 51176, 59920, 67898, 64452, 57593, 50802, 77575, 51009, 50900, 51009, 50956, 51009, 50965, 51009, 50876, 58769, 51176, 66822, 69382, 68678, 58987, 50824, 77575, 66822, 69382, 68678, 58987, 54107, 51176, 66822, 69382, 68678, 58987, 53663, 51197, 51029, 50997, 69166, 75422, 51029, 79395, 51197, 71863, 56893, 58503, 52038, 51197, 71863, 56893, 58503, 52030, 51197, 71863, 56893, 58503, 52125, 51176, 51009, 50900, 51009, 50956, 51009, 50965, 51009, 50876, 51009, 51018, 60643, 66822, 60297, 68678, 53663, 51197, 69382, 51009, 50861, 62398, 50824, 77575, 66822, 68678, 58987, 54107, 51176, 66822, 69382, 68678, 53663, 51197, 71863, 69382, 57994, 62398, 53681, 51176, 64452, 58987, 50824, 51034, 51360, 50802, 51176, 56798, 64452, 67797, 52410, 51360, 50802, 51176, 56798, 64452, 67797, 52038, 51360, 50802, 51176, 56798, 64452, 67797, 52030, 51360, 50802, 51176, 56798, 64452, 67797, 52125, 51085, 66822, 58987, 50824, 64507, 50803, 50968, 65531, 50802, 51399, 56778, 51315, 52244, 51026, 50803, 51001, 77190, 73301, 64381, 51085, 51973, 51315, 61347, 51214, 54935, 51085, 58221, 51197, 52726, 51026, 50811, 50968, 65531, 64244, 59898, 51085, 54496, 51197, 57784, 51026, 52952, 50900, 50811, 70901, 64076, 51062, 61746, 50916, 50811, 51001, 55092, 60373, 50951, 60869, 60832, 51062, 52940, 50871, 61645, 50803, 51339, 52911, 50871, 61645, 50803, 71213, 61645, 50803, 51399, 72642, 50871, 61645, 52244, 50871, 61645, 52801, 50871, 61645, 50803, 51062, 51973, 50871, 61645, 50803, 50931, 53300, 50871, 61645, 50803, 50951, 52119, 50871, 61645, 78859, 52674, 50871, 61645, 50803, 50951, 52057, 50871, 61645, 50803, 50931, 53609, 50871, 61645, 50803, 51028, 52284, 50871, 61645, 74017, 52911, 51324, 59237, 61645, 50803, 64507, 59237, 61645, 54024, 51050, 59237, 61645, 52244, 51176, 59237, 61645, 52801, 50997, 59237, 61645, 51973, 50900, 59237, 61645, 53300, 51050, 59237, 61645, 52119, 51176, 59237, 61645, 52674, 51086, 73765, 61645, 52057, 50871, 64452, 52313, 50900, 59237, 61645, 52911, 50900, 56798, 61645, 50803, 71213, 61645, 54024, 50916, 71294, 50906, 52244, 50871, 71294, 50906, 52801, 50871, 71294, 57967, 51399, 50993, 53645, 71294, 50906, 53300, 50871, 71294, 50906, 52119, 50871, 71294, 57967, 51062, 52674, 50916, 71294, 57967, 51081, 52057, 50871, 71294, 57967, 51062, 53609, 50871, 71294, 57967, 51399, 52284, 50871, 71294, 57967, 51062, 52911, 50871, 71294, 57967, 61399, 71213, 71294, 57967, 51147, 54024, 50989, 79482, 51114, 52244, 51085, 71294, 50906, 52801, 51360, 71294, 50906, 51973, 51378, 58891, 71294, 50906, 53300, 51176, 59237, 71294, 50906, 52119, 50997, 59237, 71294, 50906, 52674, 51040, 59237, 71294, 50906, 52057, 51026, 59237, 71294, 50906, 53609, 50997, 59237, 71294, 50906, 52284, 50900, 50993, 50916, 62119, 70621, 52911, 50871, 56893, 58503, 50802, 67079, 51040, 59237, 71294, 50906, 52244, 51040, 56798, 71294, 50906, 52801, 50871, 71294, 50906, 51973, 50871, 71294, 50906, 53300, 50871, 71294, 50906, 52119, 51040, 64659, 71294, 50906, 52674, 51040, 64659, 71294, 50906, 52057, 51040, 64659, 71294, 57967, 51339, 75421, 51040, 64659, 71294, 50906, 52284, 51040, 64659, 71294, 50906, 52911, 51040, 64659, 71294, 57967, 69175, 51034, 51086, 64659, 61645, 50803, 51146, 54024, 50900, 64659, 61645, 50803, 51405, 52244, 50900, 64659, 61645, 50803, 51430, 52801, 50900, 64659, 61645, 50803, 51339, 51973, 50997, 68708, 64659, 50803, 51787, 53300, 50997, 68708, 64659, 50803, 51487, 52119, 51176, 80222, 64659, 50803, 52128, 52674, 50871, 50993, 50965, 74711, 52057, 50965, 57593, 52313, 50956, 61645, 74017, 52911, 51040, 61645, 50803, 65293, 51034, 50956, 61645, 74017, 54024, 50989, 61645, 74017, 52244, 50916, 61645, 74017, 52801, 51040, 61645, 74017, 51973, 51176, 61645, 74017, 53300, 51378, 61645, 74017, 52119, 51197, 61645, 74017, 52674, 51315, 61645, 74017, 52057, 50965, 74017, 53609, 50965, 50803, 65293, 51405, 52284, 50965, 50803, 65293, 51146, 52911, 50965, 78325, 69175, 51034, 50965, 78325, 51430, 54024, 50965, 78325, 51787, 52244, 50965, 50803, 65293, 52128, 52801, 50965, 78325, 51787, 51973, 50965, 78325, 51430, 53300, 50965, 78325, 51405, 52119, 50965, 78325, 51146, 52674, 50965, 78325, 51405, 52057, 50965, 79482, 62754, 51430, 53609, 50965, 79482, 51028, 52284, 50916, 50993, 50965, 79482, 51028, 52911, 50965, 58503, 67797, 50802, 67079, 50956, 61645, 79482, 51028, 52244, 51040, 61645, 79482, 51028, 52801, 50956, 61645, 79482, 51028, 51973, 50989, 61645, 79482, 51028, 53300, 50916, 61645, 79482, 51028, 52119, 51040, 61645, 79482, 51028, 52674, 51176, 61645, 79482, 51028, 52057, 51378, 61645, 79482, 51028, 53609, 51197, 61645, 79482, 51028, 52284, 51315, 61645, 79482, 51028, 52911, 51503, 61645, 79482, 62754, 51034, 50965, 79482, 62754, 51430, 54024, 50965, 79482, 62754, 51405, 52244, 50965, 79482, 62754, 51339, 52801, 50965, 79482, 62754, 51787, 51973, 50965, 79482, 62754, 52128, 53300, 58161, 58336, 62754, 51814, 52119, 58161, 50965, 78325, 51487, 52674, 58161, 50965, 78325, 51787, 52057, 58161, 50965, 78325, 51430, 53609, 58161, 50965, 78325, 51405, 52284, 58161, 50965, 78325, 51405, 52911, 50989, 79482, 62754, 51787, 50803, 78458, 79482, 51028, 54024, 51026, 67898, 61645, 74017, 52244, 51378, 52801, 51050, 60253, 52038, 50997, 68708, 64659, 53300, 51114, 52119, 51086, 74711, 52674, 50989, 79482, 50902, 52057, 51027, 56798, 79482, 51028, 53609, 50871, 79482, 51028, 52284, 51026, 52911, 51026, 63378, 50802, 51034, 51086, 61572, 62119, 54024, 50951, 52244, 50900, 74017, 52801, 50989, 79482, 50902, 51973, 51027, 56798, 79482, 51028, 53300, 50871, 79482, 51028, 52119, 51026, 52674, 51026, 63378, 52125, 51086, 61572, 62119, 53609, 50951, 52284, 50900, 74017, 52911, 58161, 56245, 60013, 75424, 56893, 50803, 62754, 51001, 54024, 58161, 56245, 51001, 52244, 51027, 52801, 51120, 57129, 50803, 58121, 51081, 52038, 62754, 50931, 53300, 50999, 52119, 50900, 57129, 50803, 72156, 50999, 52674, 62754, 50931, 52057, 51086, 53609, 51315, 50802, 60013, 62678, 51062, 52313, 66740, 50951, 52911, 51220, 50803, 71543, 50802, 58121, 51147, 50803, 51081, 56778, 66740, 50951, 52244, 51040, 52801, 51378, 57129, 50811, 51114, 50811, 51146, 58099, 51399, 52968, 50999, 61347, 50931, 54935, 51028, 58221, 51028, 52726, 50877, 57485, 50989, 54496, 51040, 57784, 51040, 52952, 51027, 61746, 51378, 55092, 51120, 60869, 51360, 52940, 51279, 57915, 51966, 55059, 51085, 50993, 79395, 51360, 53300, 51197, 51009, 50956, 58221, 50956, 59009, 50956, 54496, 50956, 67898, 51300, 67079, 51197, 51009, 50956, 68159, 50956, 67721, 50956, 54381, 50956, 51973, 50956, 64659, 67270, 50956, 51300, 50435 ]

[ 0, 250, 20902, 5175, 2214, 11, 231, 73, 398, 86, 6, 4246, 10, 13305, 816, 20425, 8, 15352, 30054, 2301, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 3136, 23, 10, 23667, 27841, 139, 20889, 6, 7630, 14805, 10, 1186, 9, 6711, 29, 31, 11098, 7, 15073, 6, 19, 10, 25306, 1318, 4, 20, 33215, 16739, 9, 272, 119, 406, 6, 211, 119, 406, 6, 8, 1918, 3639, 7, 63, 6878, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50642, 51026, 51175, 50899, 51175, 51081, 50967, 51487, 69400, 66736, 51339, 55098, 67423, 51405, 52599, 50951, 51095, 51081, 51110, 51146, 51110, 50462, 51001, 51095, 50951, 51095, 51062, 51110, 50474, 63830, 51001, 51110, 50999, 51095, 51540, 50861, 50967, 72481, 65338, 63064, 51146, 51095, 59409, 50808, 50999, 54125, 62942, 50951, 53415, 50877, 50967, 73054, 50931, 51178, 50462, 72362, 78122, 50968, 51110, 50474, 75975, 75640, 73054, 51540, 51028, 61432, 60015, 57933, 50968, 56307, 50999, 71277, 57547, 51399, 56298, 51430, 57991, 51146, 64233, 51194, 50965, 51194, 50902, 70652, 51220, 50905, 50462, 51147, 50905, 50468, 50968, 50905, 50474, 50902, 50974, 50480, 50973, 50905, 51540, 51040, 57254, 54644, 50916, 66289, 54335, 50877, 65064, 55544, 51028, 51644, 50325, 54137, 50968, 51455, 50329, 55200, 50999, 51455, 50332, 54058, 51399, 51043, 51814, 51233, 51540, 68532, 50419, 50861, 58506, 50877, 50866, 50428, 50906, 50987, 59409, 51008, 50436, 73754, 50441, 51001, 63251, 51114, 50955, 56222, 51043, 50906, 51043, 50902, 51233, 50951, 51043, 50462, 50876, 51337, 51114, 51337, 50999, 51423, 50474, 50902, 51337, 50951, 51233, 51081, 51423, 51540, 75651, 50419, 66374, 50423, 73754, 50427, 51001, 59780, 50931, 51008, 50436, 75566, 50441, 51147, 50955, 50445, 51220, 58038, 77549, 51001, 51233, 50951, 51233, 51062, 51043, 50462, 50931, 51233, 51220, 51423, 51146, 51337, 50474, 50951, 51043, 51062, 51233, 51405, 51423, 51540, 51114, 50942, 50419, 50951, 66700, 68717, 50427, 51081, 59780, 51062, 51008, 50436, 51146, 50959, 50441, 51405, 67139, 51787, 58248, 50951, 51194, 51081, 51043, 51146, 51337, 51487, 51337, 50462, 51062, 51337, 51787, 51233, 51814, 51423, 50474, 51146, 51233, 51487, 51423, 52052, 51337, 51540, 51146, 51167, 52912, 51167, 53337, 51215, 50902, 51175, 51146, 50967, 52912, 51215, 64574, 51167, 50902, 51175, 51146, 51215, 53684, 58647, 50916, 51167, 50902, 51175, 51146, 51215, 52357, 51215, 50462, 50871, 51175, 50902, 51215, 51146, 51215, 52052, 51215, 50474, 50989, 51175, 50902, 51215, 51146, 51215, 51814, 51095, 51540, 50861, 51215, 50902, 51215, 51081, 50967, 51487, 69400, 60003, 51339, 54125, 68631, 51405, 52841, 63064, 51081, 51178, 51146, 51110, 50462, 51001, 51095, 50951, 51110, 51062, 51178, 50474, 50876, 51110, 51001, 51110, 50999, 51095, 51540, 50861, 51215, 50906, 51175, 50902, 51095, 63064, 51146, 51215, 59409, 50812, 50999, 55098, 76242, 50951, 52841, 75640, 73054, 50931, 51110, 50462, 50861, 51110, 50906, 51110, 50968, 51110, 50474, 50871, 70897, 51095, 73054, 51540, 51028, 64233, 60015, 65516, 50968, 53770, 50999, 68434, 57547, 51399, 56298, 51430, 57991, 51146, 62430, 51194, 50965, 51043, 50902, 70854, 51220, 50892, 50462, 51147, 50905, 50468, 50968, 50974, 50474, 50902, 50892, 50480, 50973, 50892, 51540, 51040, 57069, 54644, 50916, 69791, 50974, 56207, 61527, 55544, 51028, 73089, 53913, 50968, 51644, 50329, 55103, 50999, 51644, 50332, 56697, 51399, 51194, 51814, 51233, 51540, 50973, 50937, 50418, 50876, 66401, 74952, 50427, 51001, 59982, 72310, 50437, 50951, 50978, 50441, 51147, 67139, 51220, 58248, 77549, 51001, 51043, 50951, 51233, 51062, 51233, 50462, 50931, 51233, 51220, 51337, 51146, 51337, 50474, 50951, 51043, 51062, 51337, 51405, 51423, 51540, 51001, 50925, 50418, 50951, 66401, 50999, 50866, 50428, 51081, 60539, 51062, 50987, 50436, 51146, 51058, 50441, 51405, 63251, 51787, 58248, 50951, 51233, 51081, 51194, 51146, 51337, 51487, 51233, 50462, 51062, 51233, 51787, 51233, 51814, 51233, 50474, 51146, 51337, 51487, 51337, 52052, 51337, 51540, 51220, 50942, 50419, 51062, 66401, 51146, 50959, 50427, 51405, 53961, 51339, 80249, 51487, 50959, 50441, 52128, 50955, 50445, 53117, 60649, 51062, 51194, 51405, 51194, 51487, 51337, 52357, 51233, 50462, 51339, 51233, 53117, 51423, 52912, 51233, 50474, 51487, 51233, 52357, 51337, 53919, 51337, 51540, 51487, 51167, 55538, 51215, 54439, 51215, 50951, 51167, 51487, 50967, 55538, 78590, 50965, 51215, 50951, 51175, 51487, 51215, 56193, 58647, 50877, 51175, 50951, 51167, 51487, 51175, 52956, 50967, 50462, 50906, 51215, 50951, 51175, 51487, 51095, 53919, 51215, 50474, 50973, 51175, 50951, 51215, 51487, 50967, 52912, 50967, 51540, 50876, 51354, 50951, 51354, 51405, 51379, 51487, 51379, 52357, 51379, 50432, 59179, 52052, 55098, 51220, 50808, 52128, 52599, 51062, 51110, 51487, 51178, 50462, 51147, 51095, 51062, 51110, 51339, 51178, 50474, 66002, 51147, 51095, 51146, 51178, 51540, 50876, 51175, 51001, 51175, 50951, 51095, 51487, 69400, 57061, 51146, 55098, 73067, 51062, 52841, 50902, 51110, 50951, 51110, 51081, 51095, 50462, 50876, 51110, 51001, 51110, 50999, 51110, 50474, 50906, 51095, 73054, 50951, 51178, 51540, 50997, 51175, 50871, 51167, 51399, 51175, 51339, 50967, 52052, 58443, 79299, 52128, 53263, 74964, 51787, 53415, 51081, 51095, 51399, 51110, 51339, 51178, 50462, 51114, 50967, 51081, 51178, 51405, 51178, 50474, 51001, 51095, 51114, 51110, 51062, 51110, 51540, 72481, 51028, 51175, 50931, 51095, 51081, 50967, 51339, 58443, 51001, 50800, 51062, 54125, 63417, 51081, 53415, 80033, 50931, 51178, 51147, 51110, 50462, 50906, 51095, 51028, 51178, 50951, 51110, 50474, 50965, 51095, 50876, 51110, 50931, 51110, 51540, 50965, 51167, 50973, 51175, 51220, 51215, 52128, 70192, 51787, 54125, 51339, 52599, 51405, 65114, 51378, 51175, 51176, 51167, 51086, 51167, 50956, 51175, 50468, 56193, 50808, 50471, 52956, 50833, 50474, 53919, 51110, 51540, 51050, 51379, 51086, 51167, 50956, 51379, 50432, 51787, 55098, 51339, 52599, 51405, 51110, 64057, 78449, 51215, 50871, 50967, 51146, 50967, 50462, 51062, 51178, 50474, 51081, 51110, 51540, 51176, 51379, 50956, 51379, 51220, 51175, 52128, 73577, 51787, 53263, 51339, 53415, 51405, 64949, 51378, 51379, 51176, 51167, 51086, 51175, 50956, 51175, 50468, 56193, 50833, 50471, 52956, 50833, 50474, 53919, 51110, 51540, 51050, 51379, 51086, 51379, 50956, 51379, 50432, 51787, 54125, 51339, 53415, 51405, 51110, 64057, 51215, 51146, 51095, 50462, 51062, 51110, 50474, 51081, 51110, 51540, 50906, 51379, 51081, 70192, 51081, 56535, 51062, 54773, 51081, 67702, 51081, 51175, 50468, 52052, 50859, 50471, 52357, 50859, 50474, 52052, 51215, 51540, 52052, 51379, 50432, 59987, 52262, 67747, 51724, 59987, 67702, 51176, 51167, 50462, 51026, 51175, 50474, 51050, 51175, 51540, 51197, 51194, 51081, 51043, 54439, 64669, 51081, 55167, 51062, 54123, 50997, 51233, 51081, 51423, 50450, 51050, 51043, 51147, 51233, 50462, 50965, 51043, 50951, 51337, 50474, 50997, 51043, 50931, 51337, 51540, 51026, 51194, 51001, 51233, 60564, 51233, 50951, 51337, 62335, 51233, 51081, 51423, 50450, 51085, 51194, 51405, 51233, 50462, 50956, 51233, 51146, 51337, 50474, 51026, 51043, 51062, 51337, 51540, 51405, 50878, 51234, 51194, 50418, 51146, 50866, 53337, 51233, 51062, 51423, 62322, 51233, 51081, 75926, 79523, 51085, 51233, 50454, 51062, 50866, 50462, 50956, 51043, 51081, 51337, 50474, 51026, 51337, 50999, 51337, 51540, 51062, 50955, 51120, 51043, 50418, 51081, 50987, 54439, 51043, 50999, 51233, 62335, 51043, 50951, 51423, 50450, 51081, 50955, 51120, 51043, 50454, 51147, 50978, 50462, 50871, 51233, 50951, 51423, 50474, 50997, 51043, 50931, 51423, 51540, 51197, 51178, 51081, 51043, 54439, 74257 ]

[ 0, 713, 765, 5175, 2214, 11, 274, 10431, 538, 16, 3820, 19, 1007, 8, 33301, 4, 85, 1575, 10, 16331, 33215, 16739, 9, 12608, 119, 6, 274, 10431, 6, 163, 43531, 6, 8, 2060, 6, 8, 11498, 10, 20902, 12701, 4450, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 1472, 9, 657, 8, 11098, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 51036, 51001, 51036, 57542, 51036, 50989, 51036, 50973, 51036, 51001, 51036, 51114, 51036, 56178, 51036, 50906, 51036, 51001, 51036, 51114, 51036, 51081, 51036, 57346, 51036, 50965, 51036, 51028, 51036, 51114, 51036, 51147, 51036, 58526, 51036, 50956, 51036, 50965, 51036, 50973, 51036, 51001, 51036, 57542, 51036, 50989, 51036, 50973, 51036, 51001, 51036, 51114, 51036, 56178, 51036, 50906, 51036, 51001, 51036, 51114, 51036, 51081, 51036, 57346, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51378, 73685, 65287, 56793, 63057, 50807, 58526, 76603, 72868, 71052, 50983, 51001, 57345, 51176, 76603, 72868, 71052, 50983, 51001, 58624, 51176, 60821, 58750, 60939, 63161, 50807, 57542, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51086, 65287, 60939, 63161, 73412, 50807, 56178, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 57345, 50956, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 58624, 50956, 56793, 63161, 73412, 74018, 50807, 57346, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 57345, 51040, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 58624, 51040, 58750, 63057, 73412, 78210, 50807, 58526, 76603, 72868, 71052, 50983, 51001, 57345, 51176, 76603, 72868, 71052, 50983, 51001, 58624, 51176, 60821, 58750, 60939, 63161, 50807, 57542, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51086, 65287, 60939, 63161, 73412, 50807, 56178, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 57345, 50956, 74726, 50983, 51001, 50983, 51114, 50983, 51081, 58624, 50956, 56793, 63161, 73412, 74018, 50807, 57346, 72868, 50983, 51028, 50983, 51114, 50983, 51147, 57345, 51086, 50983, 50989, 71052, 50983, 51001, 50983, 51114, 58624, 51378, 73685, 65287, 56793, 63057, 50807, 56178, 56962, 56190, 57367, 52115, 51176, 51620, 50956, 56962, 56190, 57367, 51736, 51176, 52262, 50956, 56962, 56190, 57367, 54789, 51176, 51820, 50956, 56962, 56190, 57367, 51798, 51176, 52809, 50956, 56962, 56190, 57367, 54093, 51176, 50800, 57126, 56190, 57367, 61907, 52115, 51086, 51620, 50989, 56190, 57367, 61907, 51736, 51086, 52262, 50989, 56190, 57367, 61907, 54789, 51086, 51820, 50989, 56190, 57367, 61907, 51798, 51086, 52809, 50989, 56190, 57367, 61907, 54093, 51086, 50800, 55694, 57367, 61907, 63627, 52115, 50956, 51620, 50906, 57367, 61907, 63627, 51736, 50956, 52262, 50906, 57367, 61907, 63627, 54789, 50956, 51820, 50906, 57367, 61907, 63627, 51798, 50956, 52809, 50906, 57367, 61907, 63627, 54093, 50956, 50800, 57190, 57981, 61907, 59688, 52115, 51040, 51620, 50965, 57981, 61907, 59688, 51736, 51040, 52262, 50965, 57981, 61907, 59688, 54789, 51040, 51820, 50965, 57981, 61907, 59688, 51798, 51040, 52809, 50965, 57981, 61907, 59688, 54093, 51040, 50800, 56178, 56962, 56190, 57367, 52115, 51176, 51620, 50956, 56962, 56190, 57367, 51736, 51176, 52262, 50956, 56962, 56190, 57367, 54789, 51176, 51820, 50956, 56962, 56190, 57367, 51798, 51176, 52809, 50956, 56962, 56190, 57367, 54093, 51176, 50800, 57126, 56190, 57367, 61907, 52115, 51086, 51620, 50989, 56190, 57367, 61907, 51736, 51086, 52262, 50989, 56190, 57367, 61907, 54789, 51086, 51820, 50989, 56190, 57367, 61907, 51798, 51086, 52809, 50989, 56190, 57367, 61907, 54093, 51086, 50800, 55694, 57367, 61907, 63627, 52115, 50956, 51620, 50906, 57367, 61907, 63627, 51736, 50956, 52262, 50906, 57367, 61907, 63627, 54789, 50956, 51820, 50906, 57367, 61907, 63627, 51798, 50956, 52809, 50906, 57367, 61907, 63627, 54093, 50956, 50800, 57190, 57981, 61907, 59688, 52115, 51040, 51620, 50965, 57981, 61907, 59688, 51736, 51040, 52262, 50965, 57981, 61907, 59688, 54789, 51040, 51820, 50965, 57981, 61907, 59688, 51798, 51040, 52809, 50965, 57981, 61907, 59688, 54093, 51040, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 13305, 3315, 5, 169, 6, 2351, 10, 19448, 8, 8728, 5466, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 10431, 538, 8, 1575, 10, 16331, 33215, 16739, 9, 2060, 119, 6, 12608, 119, 6, 230, 10431, 406, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50447, 51001, 52848, 51114, 57431, 51028, 50917, 57530, 50968, 52014, 50279, 50991, 51324, 51238, 50423, 50627, 51378, 52710, 50989, 52098, 50315, 71606, 51218, 50432, 51378, 56282, 50627, 50989, 60597, 68368, 51591, 50444, 51028, 77534, 51001, 53533, 51028, 50925, 51966, 50914, 50454, 50973, 65737, 66734, 57530, 51028, 50805, 54637, 50991, 51324, 64736, 51378, 53049, 50628, 50989, 68551, 51417, 50973, 51417, 50432, 51378, 58020, 51324, 62902, 50627, 59289, 51001, 54276, 50973, 52434, 50322, 59960, 51001, 52434, 50324, 50977, 57530, 51114, 52098, 50327, 51588, 50276, 50991, 51503, 77950, 50628, 51176, 70833, 50810, 65473, 51147, 53450, 50628, 50973, 52434, 50322, 51665, 50303, 63142, 53387, 50989, 52415, 50319, 54014, 50627, 51081, 52434, 50281, 51221, 51360, 51124, 50447, 51176, 57035, 50810, 74730, 50931, 52843, 50628, 50973, 52434, 50319, 51665, 50305, 63328, 53586, 50871, 50866, 56103, 51147, 52098, 50286, 77950, 50997, 69303, 53906, 50627, 51040, 62839, 52434, 50317, 51800, 50322, 51562, 71288, 52434, 50310, 58020, 50627, 50965, 58835, 51127, 50447, 50968, 54276, 51147, 52098, 50300, 58705, 51001, 50917, 56103, 51114, 52014, 50281, 51238, 51360, 50991, 50422, 50627, 50423, 51176, 53906, 50965, 80191, 66950, 73576, 51176, 58020, 50989, 57543, 60763, 53218, 50628, 51001, 73697, 50968, 53886, 78887, 51001, 65840, 50889, 50454, 68899, 51028, 62990, 50956, 50897, 67594, 57530, 51040, 62838, 56876, 70354, 51631, 50628, 50916, 51141, 50965, 51141, 51028, 51218, 50447, 50628, 65200, 67563, 51147, 54004, 50965, 52434, 50320, 51665, 50327, 54752, 50916, 75600, 52434, 50324, 50866, 56103, 50956, 51124, 50973, 51124, 51114, 51221, 50423, 51086, 50810, 59289, 51001, 53450, 51176, 52434, 50307, 68839, 58672, 51315, 52434, 50312, 60592, 50627, 51378, 63328, 75127, 64291, 63897, 51966, 59881, 50628, 51001, 51203, 50989, 64292, 50915, 50458, 50628, 50459, 51001, 57335, 51028, 50839, 56103, 50956, 51591, 50973, 51675, 54637, 51486, 51324, 51486, 50423, 51378, 64442, 52654, 51086, 52415, 50310, 53961, 50956, 52434, 50315, 60592, 50627, 50989, 66593, 75723, 50628, 51114, 50858, 51405, 54596, 51220, 51919, 50334, 52545, 50286, 53751, 50298, 68287, 51114, 51919, 50329, 51030, 57530, 51220, 52362, 50332, 52370, 50279, 51469, 51324, 51469, 50423, 51378, 54149, 50628, 50989, 52370, 50322, 53531, 50327, 53751, 50331, 51761, 50432, 50989, 64104, 50628, 50968, 51958, 50322, 51958, 50326, 63437, 51399, 50911, 50449, 51405, 53595, 51399, 50940, 51966, 52530, 50298, 53177, 50320, 51274, 50454, 51220, 72870, 51081, 50921, 57530, 51399, 52362, 50279, 51696, 51324, 51469, 50423, 51378, 69304, 52422, 50627, 51086, 64935, 67286, 51661, 51220, 51285, 64551, 53275, 50315, 64104, 50989, 76643, 51090, 50447, 50628, 51114, 50821, 51405, 53153, 51220, 51919, 50334, 76378, 70512, 61510, 51405, 53275, 50336, 50948, 57530, 51787, 53275, 50339, 53318, 50276, 51527, 51503, 51009, 50423, 50628, 51086, 50858, 50989, 50858, 51405, 50858, 52128, 52422, 51220, 52545, 50334, 76378, 52370, 50315, 52309, 51114, 51919, 50331, 59894, 50627, 51339, 53275, 50338, 53318, 50281, 51870, 51360, 51009, 50447, 50628, 51176, 50882, 50871, 50882, 51399, 50821, 51339, 53153, 51220, 52545, 50331, 53275, 50305, 52370, 50315, 55764, 50931, 50948, 57530, 52128, 53318, 50274, 51527, 51966, 51527, 50423, 50997, 50858, 50989, 54149, 50628, 51040, 61505, 51936, 50329, 53177, 50322, 52512, 51787, 52097, 71288, 64935, 52322, 51062, 51958, 50276, 51009, 51503, 51870, 50447, 50628, 70433, 51430, 53153, 51147, 51919, 50336, 78914, 52530, 50312, 53177, 50316, 61510, 51001, 51919, 50331, 50936, 57530, 51114, 52370, 50334, 52362, 50281, 51527, 51360, 51870, 50423, 51176, 54149, 50627, 50965, 72292, 53751, 50320, 51552, 51430, 51761, 50432, 50628, 51176, 54993, 50628, 50989, 60599, 53177, 50325, 55451, 51176, 67286, 50806, 51405, 55260, 50989, 50940, 51001, 50921, 51405, 50940, 50877, 51090, 50454, 50916, 50921, 51028, 51033, 51399, 65372, 50956, 51033, 74873, 51062, 51033, 56103, 50989, 64515, 52362, 50319, 52370, 50331, 63098, 50627, 50916, 51761, 50965, 51761, 51028, 51761, 51147, 51761, 51399, 51761, 50447, 50628, 63077, 67642, 51147, 54004, 50965, 63988, 52415, 50327, 60077, 50916, 52415, 50314, 51962, 50324, 51058, 57530, 50956, 51255, 50973, 51255, 51114, 51255, 50423, 51086, 50844, 74312, 51001, 52921, 51176, 71678, 64535, 54342, 51315, 67307, 54137, 50628, 51378, 65632, 74915, 72272, 63897, 51966, 60649, 50627, 51001, 51363, 50989, 63211, 50995, 50459, 50628, 51001, 61561, 51028, 50867, 57844, 66533, 51183, 54637, 51790, 51324, 51742, 50423, 51086, 68897, 52921, 50956, 66228, 54342, 51114, 68219, 51477, 80212, 51001, 51568, 50327, 60785, 50627, 51001, 65458, 51114, 59132, 50931, 51710, 50324, 50924, 57530, 51114, 51460, 51081, 51460, 50956, 51343, 50906, 51274, 51001, 51274, 50423, 50628, 51405, 51620, 51114, 51442, 50326, 51736, 50973, 57367, 56645, 59688, 55122, 50627, 51114, 51160, 51081, 51427, 50956, 51343, 50906, 51343, 51001, 51364, 50447, 50628, 51405, 54721, 51114, 63627, 55416, 50973, 56645, 50805, 51147, 50795, 60497, 50858, 50906, 78171, 66281, 51147, 54681, 50931, 63748, 53471, 51114, 51620, 50956, 52297, 50310, 52297, 50319, 51091, 50441, 50628, 50931, 53103, 71436, 51040, 59957, 51001, 52843, 67563, 51086, 64225, 51028, 52863, 60834, 50997, 61219, 67563, 57530, 51503, 52434, 50300, 59703, 74523, 50628, 51176, 52434, 50303, 52434, 50307, 58506, 67563, 51001, 52654, 50965, 53961, 51966, 51665, 50298, 52434, 50310, 60592, 50627, 51503, 51588, 50300, 52434, 50312, 78373, 50628, 51176, 52434, 50303, 52415, 50307, 79860, 67563, 51001, 52843, 50965, 59960, 51966, 52434, 50298, 73446, 50977, 56103, 51503, 50833, 51176, 74566, 59636, 50906, 54611, 50626, 51966, 50810, 51378, 50844, 50989, 54347, 50965, 52654, 50622, 51234, 51115, 50997, 51115, 50906, 66744, 50627, 50447, 50628, 51081, 52848, 51399, 56974, 51147, 50917, 57530, 51220, 51828, 50286, 51077, 50423, 51040, 53049, 50628, 50906, 52014, 50322, 74018, 57345, 51040, 56282, 50973, 73988, 72117, 69279, 50628, 51147, 50849, 50448, 51081, 53035, 51147, 50925, 51040, 50914, 50454, 51114, 65737, 73955, 57530, 51147, 51442, 50286, 50918, 51378, 50918, 50423, 50997, 75965, 52450, 50628, 51040, 68995, 68503, 51218, 51114, 70303, 50997, 75762, 56282, 51040, 64471, 68527, 50627, 51378, 50859, 50989, 52741, 50997, 64471, 58603, 51247, 52370, 50297, 61805, 57442, 71228, 50806, 57211, 53492, 51427, 51234, 51653, 51040, 51653, 50906, 51460, 51028, 51460, 50423, 50628, 50997, 71304, 53950, 51040, 73979, 57943, 51503, 50806, 51176, 65257, 71228, 67286, 52322, 50626, 52759, 51460, 51360, 51460, 50871, 51160, 51028, 51427, 50931, 79958, 50628, 51040, 50859, 51028, 51757, 50871, 76028, 58603, 51085, 52370, 50304, 73796, 75672, 75208, 50806, 57211, 51247, 51460, 51050, 51427, 50877, 51653, 50876, 51427, 50931, 51460, 50999, 51427, 50415, 50626, 50416, 50626, 50417, 50625, 50418, 50625, 50419, 50625, 50420, 50624, 50421, 50624, 50422, 50624, 50423, 50623, 53492, 51285, 51234, 51285, 50906, 51285, 50902, 52195, 50931, 51285, 51081, 51661, 60643, 51274, 50997, 51343, 50899, 51274, 50428, 50623, 50432, 50623, 50437, 50623, 50441, 50623, 50446, 50624, 50447 ]

[ 0, 713, 765, 5175, 2214, 11, 274, 3694, 1575, 10, 20902, 11739, 9, 20535, 2810, 6, 1076, 560, 31365, 25999, 6, 8, 3741, 27374, 594, 6, 2800, 30, 3459, 9590, 8, 21072, 4, 590, 41, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 15352, 30054, 8, 20425, 2125, 14, 67, 24536, 4785, 9, 15073, 4, 20, 33215, 16739, 9, 274, 119, 406, 6, 274, 119, 6, 2060, 119, 6, 163, 73, 347, 10431, 6, 8, 2060, 119, 3639, 7, 63, 13363, 28191, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50461, 52913, 50817, 51096, 52885, 75767, 50817, 50799, 56064, 50817, 56108, 50811, 56108, 62601, 56064, 50811, 52913, 50930, 51096, 50930, 56108, 50930, 56108, 54451, 52279, 70726, 59852, 51096, 51520, 52279, 57639, 57646, 56064, 50811, 52913, 50811, 56108, 50803, 56108, 56998, 50832, 50890, 50428, 56064, 50803, 51999, 64058, 65384, 57485, 56064, 50803, 57336, 57784, 50798, 59071, 50832, 70736, 56064, 50882, 50443, 58912, 67505, 50832, 50811, 57730, 51520, 57795, 56064, 55552, 56165, 50882, 56584, 60370, 50832, 60271, 56064, 56771, 69582, 50799, 54470, 51033, 50415, 50832, 50811, 56130, 53213, 56064, 50882, 67001, 54381, 56165, 50823, 56957, 50823, 52389, 61347, 56064, 58221, 50832, 52726, 58912, 61109, 50832, 51670, 52952, 56064, 57149, 50832, 55092, 65384, 56695, 50832, 55059, 56064, 57795, 56165, 52668, 52768, 50798, 58614, 50832, 62161, 58912, 50811, 56584, 59730, 65384, 59616, 51096, 56628, 52913, 50817, 56108, 50811, 56108, 57639, 75767, 50817, 50799, 56064, 55534, 51096, 50811, 56108, 50882, 56108, 64257, 62601, 52913, 52279, 51670, 55804, 56064, 59852, 52913, 50811, 65247, 56108, 50803, 56108, 55267, 57646, 56064, 51670, 52279, 58860, 50832, 61347, 56064, 50803, 51999, 58221, 65384, 52726, 50832, 57485, 56064, 50803, 52224, 57880, 50798, 61746, 56064, 50811, 56568, 52940, 58912, 50823, 57730, 57795, 50798, 52768, 56064, 62103, 50832, 55552, 56165, 56250, 56064, 68209, 51625, 56628, 54470, 55466, 51670, 50811, 51809, 50832, 61085, 50817, 56130, 61993, 56064, 59714, 60879, 50832, 57646, 56165, 50823, 56957, 58099, 51456, 52220, 61347, 56064, 50803, 56096, 58221, 58912, 76874, 59009, 50832, 50811, 57336, 57776, 56064, 51520, 63182, 52676, 50832, 61746, 65384, 50823, 51326, 50811, 56568, 52940, 50832, 59135, 51326, 57915, 56064, 50811, 52283, 59788, 51289, 57795, 56165, 61958, 52768, 50832, 62161, 58912, 50811, 52145, 59730, 65384, 56327, 59616, 52913, 50817, 51096, 50811, 56108, 50811, 56108, 56628, 53431, 67958, 50799, 56064, 55534, 52913, 50811, 51096, 50882, 56108, 50858, 56108, 69764, 63603, 56064, 51670, 52279, 60879, 52913, 50811, 68362, 56108, 50803, 56108, 55267, 57369, 56064, 51670, 52279, 58860, 50832, 61347, 56064, 50803, 56096, 58221, 65384, 57476, 50832, 57485, 56064, 61109, 50798, 61746, 58912, 55466, 50811, 56568, 57915, 56064, 50811, 57730, 57795, 58912, 51670, 62161, 56165, 50800, 56584, 59730, 54470, 74717, 50832, 59616, 52913, 50817, 51096, 50811, 56108, 50811, 56108, 57639, 75767, 56912, 56064, 52084, 50811, 51601, 52913, 50811, 51096, 50894, 56108, 50803, 56108, 55267, 52220, 52279, 63603, 56064, 50930, 50421, 52913, 50811, 68362, 56108, 50803, 56108, 55267, 52220, 52279, 57369, 56064, 56667, 50832, 50930, 50428, 56064, 50894, 51999, 58221, 65384, 52119, 50832, 57485, 56064, 61109, 50798, 52952, 50832, 62281, 58912, 67505, 50832, 77571, 56064, 50811, 57730, 57891, 56165, 52466, 62161, 58912, 50811, 56584, 59730, 65384, 59616, 51096, 50811, 56108, 50811, 56108, 57639, 56912, 56064, 50811, 52913, 75767, 50817, 51601, 51096, 50858, 56108, 50800, 56108, 55456, 63603, 56064, 50811, 52913, 51670, 52279, 60879, 65247, 56108, 50803, 56108, 55267, 57369, 56064, 50811, 52913, 52279, 51670, 58860, 50832, 61347, 56064, 50811, 56096, 52726, 65384, 57476, 50832, 54496, 56064, 57784, 50798, 59071, 50832, 61746, 58912, 50823, 56568, 57915, 56064, 57795, 58912, 51670, 52084, 62161, 56165, 64405, 54470, 55466, 59616, 52913, 52885, 56912, 50964, 52220, 51779, 50817, 50799, 56064, 50811, 51096, 50949, 56108, 51033, 56108, 51033, 50415, 51206, 63603, 52913, 50811, 51096, 51670, 52279, 55804, 56064, 59852, 56108, 50803, 56108, 55267, 57369, 52913, 50817, 51096, 51520, 52279, 54381, 56064, 58860, 50832, 61347, 56064, 50803, 56096, 58221, 65384, 59009, 50832, 57485, 56064, 57880, 50798, 73898, 50832, 61746, 58912, 50803, 56568, 57915, 56064, 50811, 57730, 57795, 56165, 61958, 62161, 58912, 50811, 56584, 59730, 65384, 59616, 51096, 50811, 56108, 50811, 56108, 57639, 56912, 56064, 50817, 52913, 75767, 50817, 51601, 52913, 50817, 51096, 50858, 56108, 50882, 56108, 64257, 63603, 56064, 51670, 52279, 59852, 52913, 50817, 51096, 55267, 57646, 56064, 50811, 56108, 50803, 56108, 51520, 52279, 62938, 56064, 51880, 50811, 56096, 64058, 65384, 57485, 56064, 57784, 50832, 51670, 59071, 50832, 62281, 56064, 60254, 58912, 59116, 50832, 57795, 50832, 52466, 52768, 56064, 53532, 56165, 51033, 56584, 60370, 50832, 56250, 52060, 54871, 56064, 50811, 50799, 54470, 52466, 62601, 50832, 69739, 55265, 51553, 61792, 51456, 55255, 51625, 60861, 56064, 58026, 56165, 55466, 69739, 61085, 50817, 56957, 63606, 51224, 52220, 61347, 56064, 50803, 56096, 58221, 58912, 76874, 62240, 57776, 56064, 51880, 51670, 63182, 62240, 57512, 50832, 61746, 65384, 50823, 51326, 59587, 50832, 57915, 56064, 63182, 50817, 57730, 57795, 56165, 51033, 51289, 57167, 52220, 58614, 50832, 62161, 58912, 62310, 77805, 56584, 59730, 65384, 56327, 60488, 52913, 50817, 51096, 50811, 56108, 50811, 56108, 56628, 56064, 51670, 52885, 51463, 50817, 51601, 51096, 50882, 56108, 50803, 56108, 75542, 52913, 57639, 51463, 51670, 55804, 56064, 59852, 51096, 64595, 57369, 56064, 50882, 52913, 50811, 56108, 50803, 56108, 51520, 52279, 56973, 50832, 50890, 50428, 56064, 50811, 51999, 64058, 65384, 56861, 56064, 50803, 57336, 57784, 50798, 55092, 56064, 50803, 56568, 52940, 58912, 57276, 50832, 57795, 50798, 52768, 56064, 62103, 50832, 55552, 56165, 51045, 50455, 50832, 58150, 56064, 68209, 56912, 54470, 69951, 51670, 50811, 51601, 50832, 62601, 52060, 60103, 61993, 56064, 59714, 73744, 51625, 59852, 50832, 57646, 56165, 50823, 56957, 58099, 51456, 60103, 73744, 52220, 61347, 56064, 50803, 56096, 58221, 58912, 76874, 62240, 60103, 73744, 58167, 50832, 50811, 57336, 57784, 56064, 51520, 63182, 62240, 60103, 73744, 57512, 50832, 63182, 62240, 60103, 73744, 62968, 65384, 50823, 56568, 59135, 51326, 55255, 51759, 62240, 60103, 56877, 56064, 52084, 50817, 57730, 57167, 55255, 60103, 62240, 58977, 56165, 58732, 52768, 50832, 58614, 51553, 57167, 55255, 62240, 79857, 58912, 50811, 52145, 57916, 51326, 62240, 55255, 60103, 57859, 65384, 52163, 50832, 54871, 51096, 52084, 59616, 52913, 50811, 56108, 50811, 56108, 56628, 56064, 51670, 51463, 50817, 53596, 51033, 50415, 52913, 50811, 56108, 50811, 56108, 62601, 50804, 51670, 55804, 56064, 53696, 53213, 51096, 67721, 52913, 50811, 56108, 50803, 56108, 50803, 53951, 51670, 54381, 56064, 50811, 56957, 52968, 50832, 58860, 51906, 62549, 56064, 50811, 51999, 58459, 52425, 57925, 65384, 52119, 50832, 59009, 51906, 68974, 56064, 50811, 52224, 58212, 52099, 52466, 61746, 56064, 50882, 52260, 60681, 51713, 57676, 50443, 58912, 50823, 52283, 57795, 56064, 53235, 52279, 52050, 56721, 50832, 62161, 56165, 51033, 56584, 52193, 50832, 58150, 56064, 50882, 50460, 51888, 68759, 56628, 54470, 53236, 50811, 52478, 50832, 60861, 56064, 70838, 56165, 50823, 56957, 58099, 50798, 52279, 56973, 50832, 50930, 50428, 56064, 58874, 52099, 51795, 50832, 58221, 58912, 61964, 50832, 50811, 57336, 57784, 56064, 51520, 61746, 65384, 50803, 56568, 57915, 56064, 50930, 57730, 51670, 52279, 58977, 58912, 52568, 56165, 56706, 62161, 58912, 59154, 65384, 52668, 59730, 50804, 52193, 50832 ]

[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 38668, 22052, 6, 21979, 8669, 6, 38668, 3038, 6, 8, 1076, 560, 8, 579, 1517, 20426, 31365, 6673, 6909, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 272, 6, 3676, 6, 211, 406, 6, 272, 6, 8, 83, 4, 20, 1349, 7630, 6568, 6453, 9, 11098, 6, 10563, 6, 8, 20183, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50796, 50796, 50446, 50953, 53798, 51011, 50975, 52060, 57916, 52060, 64963, 51415, 66212, 50940, 50868, 50921, 50847, 50940, 52278, 50823, 53771, 51045, 51678, 61411, 50817, 54272, 51573, 53605, 63358, 52097, 50868, 52512, 50847, 52512, 52724, 50846, 52760, 50846, 52118, 50846, 52278, 50860, 53771, 50976, 51678, 74804, 55453, 61792, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 60170, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 50846, 52278, 51483, 53771, 51066, 51678, 78786, 52437, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 50824, 50929, 51072, 51032, 51566, 52777, 59971, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59311, 51133, 50921, 54318, 63358, 50940, 50868, 50830, 50847, 50921, 52724, 50846, 52760, 50846, 52118, 50846, 52278, 50823, 53771, 50803, 51678, 51520, 51044, 53294, 50953, 51237, 53605, 63358, 52097, 50868, 52512, 50850, 52195, 52724, 50846, 52760, 50846, 52118, 50846, 52355, 50802, 53771, 50976, 51701, 50976, 53422, 50442, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59484, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 50846, 52355, 50975, 53771, 51072, 51701, 78786, 53533, 51133, 51016, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 51066, 50929, 51066, 51032, 51290, 57456, 57297, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 58892, 54318, 63358, 50940, 50868, 50830, 60001, 50850, 50940, 52724, 50846, 52760, 50846, 52118, 50846, 52355, 50823, 53863, 50823, 51701, 51052, 50883, 52563, 51059, 54341, 61597, 51175, 50847, 51167, 50847, 51167, 50935, 51175, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50976, 53863, 50975, 52252, 50976, 53422, 50418, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 60170, 53620, 62437, 51045, 51439, 50940, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 50894, 59930, 50811, 52471, 51858, 52437, 54318, 62437, 51483, 51439, 51354, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 51483, 59930, 50975, 73560, 51076, 50824, 51067, 51016, 52471, 50976, 52777, 59971, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59311, 77375, 53620, 65413, 51045, 51840, 50921, 52508, 50846, 52118, 50846, 52880, 50846, 53101, 50878, 56418, 50823, 53608, 51520, 51044, 54292, 51205, 50889, 54341, 59482, 52097, 51257, 51661, 52508, 50846, 52118, 50846, 52880, 50846, 51802, 51237, 54985, 51573, 52547, 51029, 53422, 50442, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59484, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 53934, 52396, 50927, 51054, 54318, 50817, 52508, 50846, 52118, 50846, 52880, 67936, 51237, 51076, 50824, 51067, 51016, 57456, 61376, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 58892, 53620, 63671, 51045, 50935, 51045, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50823, 53863, 50823, 52252, 51052, 50883, 52563, 51362, 54341, 63671, 51175, 50935, 51483, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50976, 53863, 50976, 52252, 50976, 53422, 50418, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 60170, 53620, 62437, 51045, 51439, 50952, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 50930, 59930, 50962, 52471, 51858, 52437, 54318, 62437, 51483, 51439, 51483, 52508, 50846, 52118, 50846, 52880, 50846, 51950, 51379, 59930, 50975, 73560, 51076, 50824, 62569, 52471, 50976, 52777, 63519, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59311, 50953, 51033, 53620, 65413, 50940, 51840, 50897, 52508, 50846, 52118, 50846, 52880, 50846, 53101, 50910, 56418, 51014, 53608, 51520, 51044, 53294, 67361, 54341, 59482, 51016, 51257, 51016, 52508, 50846, 52118, 50846, 52880, 50846, 51802, 51054, 54985, 50896, 52547, 51072, 53422, 50442, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59484, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 53934, 52396, 50953, 51090, 54318, 62925, 51054, 79073, 52508, 50846, 52118, 50846, 52880, 50846, 52824, 50824, 56213, 51072, 50929, 51566, 51076, 51072, 51067, 51290, 52252, 51072, 57456, 57297, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 58892, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 51239, 50883, 52534, 51745, 53605, 60255, 54055, 50909, 52536, 52724, 50846, 52760, 50846, 52118, 50846, 51784, 53435, 53250, 51184, 51716, 51795, 51320, 54404, 61792, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 60170, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53934, 52437, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 50824, 73560, 64922, 52777, 57318, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59311, 68490, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53871, 52493, 51276, 50581, 56262, 69742, 53605, 50817, 52724, 50846, 52760, 50846, 52118, 53871, 73744, 66331, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 50381, 52897, 60635, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 54499, 69574, 55245, 50953, 51066, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 50824, 50929, 51072, 51032, 59359, 62240, 62962, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 75455, 58892, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 54499, 77805, 56724, 50823, 52534, 51745, 53605, 63358, 51551, 50868, 51527, 50847, 51527, 52724, 50846, 52760, 50846, 52118, 50846, 51678, 51103, 51320, 57167, 52885, 50895, 56724, 50975, 50418, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 60170, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 51239, 50895, 56724, 53537, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 51454, 50929, 51454, 51032, 51055, 50903, 51636, 56724, 74512, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59311, 50964, 51045, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53871, 51044, 50895, 56724, 53925, 51019, 51237, 53605, 63358, 51196, 50868, 51527, 50850, 51196, 52724, 50846, 52760, 50846, 52118, 50846, 51701, 51103, 53422, 55066, 50975, 50442, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 59484, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 53934, 50818, 55066, 58348, 50964, 51237, 56297, 50817, 52724, 50846, 52760, 50846, 52118, 77446, 51454, 50929, 51454, 51032, 51454, 52055, 51502, 50898, 61376, 54318, 50817, 52724, 50846, 52760, 50846, 52118, 58892, 54398, 50817, 52724, 50846, 52760, 50846, 52118, 51239, 50883, 55066, 50823, 52563, 51761, 54341, 61597, 51175, 50847, 51379, 50935, 51167, 52508, 50846, 52118, 50846, 52880, 50846, 52252, 50914, 53422, 55822, 50975, 50418, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 60170, 53620, 62437, 51014, 51439, 51014, 52508, 50846, 52118, 50846, 52880, 51239, 50895, 51652, 53537, 54318, 62437, 51379, 51439, 51167, 52508, 50846, 52118, 50846, 52880, 67936, 51054, 51076, 51054, 78462, 52471, 51110, 50903, 51636, 51652, 74512, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59311, 50927, 51045, 53620, 65413, 50921, 51840, 50921, 52508, 50846, 52118, 50846, 52880, 50846, 53608, 50897, 52358, 50883, 52522, 53925, 50953, 51237, 54341, 59482, 51196, 51257, 51356, 52508, 50846, 52118, 50846, 52880, 50846, 52547, 51103, 53422, 51831, 51300, 50442, 55832, 50817, 52508, 50846, 52118, 50846, 52880, 59484, 53620, 50817, 52508, 50846, 52118, 50846, 52880, 53934, 52396, 51415, 51483, 54318, 50817, 52508, 50846, 52118, 50846, 52880, 67936, 51566, 51076, 51603, 51067, 51345, 52055, 51502, 50898, 62962, 53620, 50817, 52508, 50846 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 3495, 2214, 19, 10, 7212, 20889, 6, 4246, 2236, 1021, 2678, 29, 6, 21072, 6, 13305, 6, 3459, 9590, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 40286, 83, 406, 8, 211, 6, 2351, 10, 32625, 13569, 9862, 10686, 13, 3618, 930, 50, 2365, 9629, 6, 19, 10, 12405, 1619, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 51240, 50833, 74009, 51445, 52571, 50911, 51410, 50802, 51231, 50923, 51019, 69881, 51240, 53932, 51240, 53376, 50611, 53184, 51240, 53049, 51240, 53376, 50612, 50803, 52571, 51090, 51410, 50824, 51231, 69460, 51240, 53627, 50801, 55713, 62011, 78830, 52674, 51240, 50833, 51658, 62498, 53376, 50611, 54134, 51240, 54207, 51170, 73927, 53376, 50611, 50812, 52571, 50893, 51410, 50806, 51231, 55967, 51240, 53639, 51321, 59365, 64493, 54976, 54023, 50612, 66250, 51240, 53920, 51065, 57052, 64493, 57500, 50800, 52571, 50893, 51410, 50893, 51231, 64503, 51240, 50833, 50799, 51240, 53376, 50611, 50844, 62546, 51445, 54744, 51445, 51410, 51016, 51719, 51016, 51249, 51016, 51213, 67330, 51240, 53932, 51065, 56010, 62498, 53376, 50611, 52296, 51240, 53049, 51321, 64117, 78830, 53277, 50612, 65342, 51240, 53627, 50801, 68304, 64493, 50858, 51410, 50858, 51719, 50859, 51249, 56535, 51240, 50833, 51658, 64117, 78830, 53277, 50611, 50812, 52708, 51244, 51410, 50923, 51719, 50893, 51249, 69994, 51240, 54207, 51236, 59365, 53376, 50611, 50859, 51213, 55373, 51240, 53639, 51321, 71516, 64493, 59149, 52757, 50612, 50803, 51410, 50911, 51719, 50893, 51249, 50879, 51213, 55680, 51240, 53920, 51321, 57052, 64493, 55624, 50800, 51213, 54934, 51240, 50833, 51755, 57052, 78830, 53277, 50611, 50808, 60476, 52222, 56195, 52222, 52456, 52222, 51882, 52335, 51476, 50923, 51465, 50893, 51231, 50806, 51443, 51352, 50417, 51240, 53932, 51321, 64117, 53376, 50611, 52296, 51240, 53049, 50856, 57052, 53376, 50612, 50950, 51476, 50824, 51465, 51054, 51231, 69460, 51240, 53627, 50801, 62825, 58931, 78830, 64917, 51240, 50833, 51658, 57052, 53376, 50611, 54134, 51240, 54207, 51065, 64516, 62498, 53376, 50611, 50808, 51476, 50911, 51465, 50911, 51231, 67207, 51240, 53639, 51240, 64493, 53540, 54023, 50612, 66250, 51240, 53920, 51240, 64493, 57233, 50800, 51476, 50882, 51465, 50859, 51231, 50858, 51443, 54934, 51240, 50833, 51755, 52229, 70120, 53277, 50612, 53277, 50583, 51054, 60476, 50874, 56195, 50874, 52456, 50874, 51882, 50874, 52642, 50874, 51476, 50802, 51465, 50802, 51231, 50802, 51443, 52038, 50801, 52229, 63973, 54262, 50612, 50882, 60476, 51244, 56195, 51080, 52456, 51244, 51882, 51244, 52642, 51244, 51476, 53174, 51465, 52311, 51231, 51352, 51443, 51300, 50444, 52060, 55771, 53639, 51224, 57052, 54418, 51326, 50858, 51755, 51739, 52199, 55095, 50606, 50803, 52517, 51307, 52456, 51359, 51813, 51359, 52525, 51307, 51410, 50950, 51410, 50849, 51231, 50849, 51672, 50849, 54387, 50824, 51039, 57798, 50874, 51768, 51594, 55864, 50894, 51410, 50807, 71217, 51672, 64919, 51976, 66625, 63736, 50803, 62792, 51658, 51052, 56460, 50827, 51205, 53681, 50903, 51739, 70070, 54853, 50912, 51410, 50795, 51231, 50849, 51672, 50893, 52320, 57052, 53745, 50606, 55864, 54712, 50801, 50882, 51287, 51826, 53611, 51022, 51410, 50893, 51231, 50795, 51672, 50795, 54387, 50803, 60859, 51739, 50383, 52080, 52517, 50833, 52517, 51307, 52708, 51359, 51855, 51307, 51410, 51016, 51719, 50807, 72106, 53344, 54226, 50801, 50858, 51895, 50994, 50912, 51544, 50881, 50606, 55864, 50894, 53782, 55023, 51052, 62825, 53540, 51022, 51719, 50893, 51249, 50893, 51457, 50795, 65432, 51658, 51052, 54976, 50912, 51719, 50893, 51249, 50849, 51457, 50805, 61149, 51180, 63440, 52085, 53701, 50606, 50803, 78794, 51955, 51052, 62498, 57233, 50950, 51719, 50805, 51249, 50806, 51457, 55416, 51976, 54702, 51252, 61149, 51755, 51052, 52199, 54858, 50606, 50803, 53169, 50810, 53169, 51945, 52456, 52069, 51813, 51714, 51476, 50873, 51465, 50849, 51231, 50893, 51443, 50824, 51039, 50369, 52492, 51768, 52516, 57500, 50803, 51476, 50914, 51465, 50807, 51231, 53182, 51976, 55713, 54976, 54592, 50606, 50803, 62313, 51658, 51052, 52199, 50907, 50953, 62001, 68416, 60207, 50384, 52080, 51476, 50795, 51465, 50849, 51231, 51798, 50791, 57052, 53277, 50606, 55864, 57251, 51976, 50368, 51826, 54976, 50912, 51813, 50849, 51882, 50879, 52642, 50879, 51476, 51141, 51465, 51189, 51231, 50983, 51443, 50803, 60859, 52516, 56460, 50912, 51443, 54226, 51976, 62825, 52199, 50827, 52456, 50873, 51813, 50901, 51882, 50849, 51544, 50881, 50606, 55864, 53917, 53080, 51610, 51052, 60207, 54853, 50984, 53169, 50874, 53169, 50901, 52456, 50974, 51813, 50905, 51476, 50795, 51465, 50805, 51231, 50879, 71877, 51658, 51052, 56460, 54592, 50606, 50803, 53169, 50854, 53169, 50854, 52456, 51103, 51813, 51183, 51180, 62825, 54853, 50827, 51476, 51364, 51465, 51141, 51231, 51343, 71877, 51955, 52516, 64117, 71193, 52163, 72399, 61639, 54976, 50844, 57416, 51755, 51739, 52199, 55095, 50606, 50803, 52517, 51307, 52456, 51359, 51813, 51359, 52525, 51307, 51410, 50849, 51231, 50849, 51672, 50849, 54387, 50824, 51039, 57798, 50874, 51768, 51594, 55864, 50894, 51410, 50807, 71217, 51672, 64919, 51976, 66625, 63736, 50803, 62792, 51658, 51052, 56460, 50827, 51205, 53681, 50903, 51739, 70070, 54853, 50912, 51410, 50795, 51231, 50849, 51672, 50893, 52320, 57052, 53745, 50606, 55864, 54712, 50801, 50882, 51287, 51826, 53611, 51022, 51410, 50893, 51231, 50795, 51672, 50795, 54387, 50803, 60859, 51739, 50383, 52080, 52517, 50833, 52517, 51307, 52708, 51359, 51855, 51307, 51410, 51016, 51719, 50807, 72106, 53344, 54226, 50801, 50858, 51895, 50994, 50912, 51544, 50881, 50606, 55864, 50894, 53782, 55023, 51052, 62825, 53540, 51022, 51719, 50893, 51249, 50893, 51457, 50795, 65432, 51658, 51052, 54976, 50912, 51719, 50893, 51249, 50849, 51457, 50805, 61149, 51180, 63440, 52085, 53701, 50606, 50803, 78794, 51955, 51052, 62498, 57233, 50950, 51719, 50805, 51249, 50806, 51457, 55416, 51976, 54702, 51252, 61149, 51755, 51052, 52199, 54858, 50606, 50803, 53169, 50810, 53169, 51945, 52456, 52069, 51813, 51714, 51476, 50873, 51465, 50849, 51231, 50893, 51443, 50824, 51039, 50369, 52492, 51768, 52516, 57500, 50803, 51476, 50914, 51465, 50807, 51231, 53182, 51976, 55713, 54976, 54592, 50606, 50803, 62313, 51658, 51052, 52199, 50907, 50953, 62001, 68416, 60207, 50384, 52080, 51476, 50795, 51465, 50849, 51231, 51798, 50791, 57052, 53277, 50606, 55864, 57251, 51976, 50368, 51826, 54976, 50912, 51813, 50849, 51882, 50879, 52642, 50879, 51476, 51141, 51465, 51189, 51231, 50983, 51443, 50803, 60859, 52516, 56460, 50912, 51443, 54226, 51976, 62825, 52199, 50827, 52456, 50873, 51813, 50901, 51882, 50849, 51544, 50881, 50606, 55864, 53917, 53080, 51610, 51052, 60207, 54853, 50984, 53169, 50874, 53169, 50901, 52456, 50974, 51813, 50905, 51476, 50795, 51465, 50805, 51231, 50879, 71877, 51658, 51052, 56460, 54592, 50606, 50803, 53169, 50854, 53169, 51183, 52456, 51103, 51813, 51183, 51180, 62825, 54853, 50827, 51476, 51364, 51465, 51141, 51231, 51343, 71877, 51955, 52516, 64117, 71193, 52163, 72399, 61639, 54976, 50844, 57416, 51755, 51739, 52199, 55095, 50606, 50803, 51813, 50833, 51813, 51307, 52525, 51359, 52086, 51307, 51231, 50849, 51672, 50849, 51457, 50849, 51443, 50824, 51039, 57798, 50874, 51768, 51594, 55864, 50894, 71217, 51672, 50807, 51457, 64919, 51976, 66625, 63736, 50803, 60264, 51658, 51052, 56460, 50827, 50927, 53681, 50903, 51739, 70070, 54853, 50912, 51231, 50795, 51672, 50849, 51457, 50893, 52320, 57052, 53745, 50606, 55864, 54712, 50801, 50882, 51287, 51826 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 1619, 16464, 6, 4246, 38668, 18569, 6, 21979, 8669, 6, 13305, 6, 21072, 6, 8, 2236, 1021, 2678, 29, 4, 20, 33301, 16, 278, 11, 5, 762, 9, 211, 538, 6, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 272, 6, 83, 6, 163, 119, 6, 272, 6, 83, 3639, 7, 5, 2214, 18, 32625, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 76501, 53956, 50824, 51131, 50824, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 56817, 50862, 54030, 51761, 62305, 64257, 50854, 51169, 50862, 50947, 51761, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 50818, 57106, 61846, 62606, 51078, 51300, 53758, 53710, 55920, 50927, 52472, 54988, 58073, 59806, 53825, 51594, 54712, 50927, 50846, 53807, 52516, 50882, 50929, 60343, 57106, 51045, 51078, 51045, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 53807, 57520, 62606, 50929, 51029, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 50846, 53136, 61846, 62606, 50960, 51300, 56903, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 50828, 53807, 55589, 50882, 50929, 75486, 57106, 51033, 51078, 51033, 52534, 50938, 53460, 51307, 53278, 51264, 52507, 51264, 53807, 57520, 62606, 50929, 51029, 51402, 54718, 50964, 52808, 54856, 58073, 59806, 53825, 51594, 54154, 50964, 50846, 53136, 55877, 62606, 50960, 50976, 56107, 56022, 55920, 61415, 53136, 50810, 54173, 51454, 50852, 50882, 69125, 50998, 51454, 50450, 58073, 59806, 53825, 51594, 54712, 50964, 50846, 53136, 75122, 50882, 50960, 51352, 52288, 50938, 56035, 51264, 52583, 51264, 53654, 51307, 62305, 50882, 51402, 55446, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 53871, 62606, 53758, 56022, 55920, 65896, 54984, 54988, 53956, 50993, 58073, 59806, 53825, 62606, 51131, 61828, 50927, 51044, 50882, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 56817, 50862, 54030, 51761, 62305, 64257, 50874, 51169, 50862, 50947, 51761, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 50818, 52708, 50893, 57106, 61846, 62606, 51078, 51300, 53758, 50865, 52456, 53417, 55920, 56735, 52517, 51290, 50852, 54988, 58073, 59806, 53825, 51594, 54712, 50927, 50846, 53807, 52516, 50882, 50929, 60343, 57106, 51045, 51078, 51045, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 53807, 57520, 62606, 50929, 51029, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 50846, 52456, 50893, 53136, 61846, 62606, 50960, 51300, 56903, 50938, 52517, 53417, 55920, 62008, 52456, 51095, 52723, 51104, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 50828, 53807, 55589, 50882, 50929, 75486, 57106, 51033, 51078, 51033, 52534, 50938, 53460, 51307, 53278, 51264, 52507, 51264, 53807, 57520, 62606, 50929, 51029, 51402, 54718, 50964, 52808, 54856, 58073, 59806, 53825, 51594, 54154, 50964, 50846, 53136, 55877, 62606, 50960, 50976, 56107, 56022, 55920, 61415, 53136, 50810, 54173, 51454, 50852, 50882, 69125, 50998, 51454, 50450, 58073, 59806, 53825, 51594, 54712, 50964, 50846, 53136, 75122, 50882, 50960, 51352, 52288, 50938, 56035, 51264, 52583, 51264, 53654, 51307, 52723, 51104, 50894, 50427, 52708, 56896, 52708, 64104, 51813, 62789, 52708, 51566, 50852, 54988, 58073, 59806, 53825, 54403, 52456, 51012, 52288, 50830, 52517, 51496, 69040, 51714, 62305, 50882, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 55920, 50927, 52472, 54988, 52708, 51566, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 52456, 51496, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871, 51594, 55381, 51019, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 51187, 50882, 52534, 50938, 51813, 51045, 75884, 51714, 62305, 50882, 51402, 54718, 69161, 51813, 51594, 54856, 51813, 53277, 50560, 59806, 53825, 51594, 70328, 51813, 57359, 50964, 53871, 51594, 55381, 74100, 51813, 56351, 55920, 50964, 52472, 54988, 51855, 52180, 50560, 59806, 53825, 51594, 54712, 50964, 50846, 51855, 61751, 50882, 52288, 50938, 69040, 51714, 62305, 65108, 52708, 51505, 51402, 55446, 50927, 52201, 54856, 52708, 54262, 50560, 59806, 53825, 51594, 54154, 50927, 50846, 52708, 56728, 62606, 53758, 50938, 51813, 54196, 50882, 50443, 52708, 73087, 65896, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 50927, 50818, 52456, 54444, 50882, 52288, 50830, 52517, 50896, 69040, 51714, 62305, 50882, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 55920, 50927, 52472, 54988, 52708, 51160, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 52456, 51541, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871, 51594, 55381, 51019, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 51594, 54403, 51019, 51187, 72023, 51813, 51033, 52534, 50938, 75884, 51714, 62305, 50882, 51402, 50858, 50419, 51813, 55446, 50964, 52808, 50882, 50425, 51813, 54856, 58073, 59806, 53825, 51594, 70328, 51813, 56257, 50964, 53871, 62606, 50437, 51813, 51090, 56107, 56022, 55920, 50964, 52472, 54988, 52708, 50921, 58073, 59806, 53825, 51594, 50894, 50455, 52456, 56210, 50964, 51239, 50882, 52288, 50938, 52517, 50806, 69040, 51714, 62305, 50882, 51402, 55446, 56735, 52708, 51864, 50882, 50425, 52708, 52422, 58073, 59806, 53825, 51594, 70328, 52708, 57611, 50927, 53871, 62606, 53758, 50938, 51813, 54196, 55920, 56735, 51855, 51286, 52723, 51104, 54988, 58073, 59806, 53825, 51594, 54403, 50927, 50818, 51855, 51575, 50882, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 52708, 51427, 69040, 51714, 62305, 64257, 50874, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 50882, 50443, 54744, 56646, 50927, 52472, 54988, 52708, 50806, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 52456, 51541, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871, 51594, 55381, 51019, 56022, 55920, 51019, 51654, 54984, 54988, 58073, 59806, 53825, 62606, 50455, 52517, 63109, 51019, 51187, 50882, 52534, 50938, 53460, 51307, 53278, 51264, 52507, 51264, 51813, 50921, 75884, 51714, 62305, 50882, 51402, 54718, 69161, 51813, 51508, 54856, 51813, 52965, 50560, 59806, 53825, 51594, 54154, 50964, 50846, 51813, 54451, 51594, 55381, 74100, 51813, 54444, 55920, 61415, 52708, 51167, 50852, 54988, 58073, 59806, 53825, 51594, 54712, 50964, 50846, 52456, 51575, 50882, 52288, 50938, 56035, 51264, 52583, 51264, 53654, 51307, 52517, 50806, 69040, 51714, 62305, 50882, 51402, 55446, 50927, 52201, 54856, 52708, 50388, 66760, 59806, 53825, 51594, 70328, 52708, 52309, 50927, 53871, 62606, 53758, 50938, 51813, 55043, 55920, 56735, 52708, 51160, 52723, 51104, 54988, 58073, 59806, 53825, 51594, 54403, 50927, 50818, 52456, 51575, 50882, 52288, 50830, 56035, 51307, 52583, 51264, 53654, 51307, 52517, 51160, 69040, 51714, 62305, 50882, 51402, 54718, 50927, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 50927, 52816, 62606, 53758, 53710, 55920, 50927, 52472, 54988, 52708, 50980, 58073, 59806, 53825, 51594, 54712, 50927, 51239, 50882, 53400, 50910, 56470, 51264, 53278, 51264, 52507, 51307, 52456, 51226, 73730, 51714, 62305, 50882, 51402, 55446, 51019, 52201, 54856, 58073, 59806, 53825, 51594, 54154, 51019, 53871 ]

[ 0, 250, 182, 1769, 12, 20764, 6, 765, 5175, 37903, 11, 230, 10431, 3694, 6, 4246, 10, 5679, 26709, 8, 2933, 2369, 18795, 1412, 30, 5, 13602, 6757, 6, 38668, 22052, 6, 8, 38668, 2236, 6, 19, 17288, 1271, 7, 5, 14073, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50644, 50417, 55463, 74377, 55463, 59959, 55463, 73064, 55463, 58981, 55463, 50975, 50459, 53256, 50975, 56654, 51407, 59802, 52045, 52582, 52045, 55746, 57537, 51059, 50441, 57537, 51059, 50453, 54676, 50975, 50799, 54676, 59216, 54676, 60363, 54676, 58981, 54476, 50975, 55425, 51407, 52736, 52045, 50799, 59088, 53681, 55463, 58981, 55463, 50975, 50459, 55463, 50975, 52591, 55463, 50975, 50429, 55463, 60363, 53256, 50975, 56654, 51184, 52582, 52045, 50453, 57537, 51059, 52591, 57537, 68025, 54676, 73064, 54676, 75255, 54676, 50975, 52177, 54676, 50975, 50429, 55425, 51059, 52736, 52045, 50441, 59088, 50824, 66243, 54801, 58919, 53281, 75255, 56654, 51184, 50456, 53815, 51059, 50799, 53815, 62568, 53815, 50975, 50799, 53815, 59216, 53281, 50975, 55425, 51184, 52736, 52045, 50435, 53815, 73704, 53815, 50975, 50459, 53281, 50975, 55746, 53815, 75255, 54801, 50975, 52177, 53281, 50975, 50429, 53815, 51059, 50447, 53815, 50975, 56085, 51184, 52252, 52045, 79254, 53815, 73064, 53815, 75255, 53281, 50975, 55425, 51184, 59802, 52045, 52736, 52045, 52177, 53815, 59216, 53815, 60363, 53281, 58981, 53815, 50975, 50796, 50435, 54801, 73704, 53281, 59315, 56654, 51184, 52582, 52045, 50459, 53815, 51059, 52177, 53815, 51066, 50453, 53815, 50975, 52177, 53815, 50975, 50429, 53281, 50975, 55425, 51184, 52736, 52045, 50438, 53815, 58981, 53815, 50975, 50799, 53281, 50975, 50429, 53815, 59315, 54801, 50975, 52591, 53281, 59959, 53815, 63399, 53815, 50975, 56085, 51184, 52252, 52045, 66243, 53815, 58919, 53815, 59315, 53281, 50975, 55425, 51184, 52736, 52045, 52591, 53815, 50975, 50429, 53815, 73064, 53281, 75255, 53815, 50975, 50777, 50313, 52045, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 5175, 1619, 2214, 4246, 10, 13305, 483, 7513, 30, 26432, 636, 3938, 22052, 6, 1076, 560, 31365, 25999, 6, 38668, 22052, 6, 8, 3459, 9590, 4, 20, 33301, 16, 1490, 198, 5, 40286, 163, 406, 6, 381, 6, 83, 6, 8, 381, 6, 2351, 10, 32076, 8, 19448, 5466, 4, 590, 10, 7212, 20889, 9, 15966, 13410, 228, 2289, 6, 42, 2214, 11, 5, 762, 9, 381, 538, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50796, 50796, 50439, 57619, 51454, 50450, 51956, 50451, 54377, 77058, 51468, 58201, 50835, 52288, 51013, 52660, 50857, 51614, 54527, 54816, 50862, 54116, 50862, 59535, 50854, 57355, 50975, 52582, 52121, 52009, 52121, 51701, 52121, 52553, 53203, 52660, 50857, 51440, 51977, 59535, 50862, 54816, 50862, 54116, 50862, 60656, 52660, 50857, 51669, 51300, 57355, 55964, 51467, 63740, 52953, 50927, 51189, 52660, 50857, 52043, 50911, 54816, 50862, 54116, 50862, 59535, 50862, 54560, 51030, 52553, 52742, 52660, 50857, 53335, 51184, 57355, 51735, 76552, 52660, 50857, 54116, 50862, 59535, 50862, 54816, 50862, 51895, 51765, 58145, 54560, 52175, 52660, 50857, 51669, 51977, 54816, 50862, 54116, 50862, 59535, 60629, 51406, 53217, 52660, 50857, 51440, 51336, 54699, 51407, 51970, 52288, 51203, 52660, 50857, 54816, 50862, 54116, 50862, 59535, 53630, 51041, 52944, 52660, 50857, 59535, 50854, 54816, 50862, 54116, 50862, 59195, 52660, 62156, 51467, 62669, 52818, 50927, 51047, 52660, 50857, 51614, 52311, 54816, 50862, 54116, 50862, 59535, 53630, 51041, 52896, 52660, 50857, 51440, 51552, 57619, 51735, 51956, 50444, 52660, 50857, 51669, 51016, 53335, 50896, 54116, 50862, 59535, 50862, 54816, 50862, 51927, 51765, 53057, 52660, 50857, 54816, 50862, 54116, 50862, 59535, 50862, 54377, 51090, 55722, 53017, 52660, 50857, 51440, 51189, 51960, 53285, 51159, 52887, 50857, 52806, 51538, 52043, 54454, 52361, 55362, 54148, 50862, 54116, 50862, 58569, 50862, 54560, 51460, 52091, 52121, 51701, 52121, 52736, 52121, 52553, 53023, 52887, 50857, 54148, 50862, 58569, 50862, 54116, 50862, 51970, 50425, 54560, 52038, 52887, 50857, 51660, 51896, 57653, 68256, 52953, 51069, 51127, 52887, 50857, 51440, 51161, 54148, 50862, 54116, 50862, 58569, 50862, 54699, 51030, 52553, 53115, 52887, 50857, 54560, 51090, 51956, 50444, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 51895, 51765, 52772, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 50862, 54699, 50802, 55722, 53217, 52887, 50857, 60530, 53174, 51960, 53285, 50873, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 52944, 52887, 50857, 51660, 53241, 58569, 50862, 54148, 50862, 54116, 50862, 60656, 52887, 50857, 51440, 51192, 55722, 68256, 53031, 51069, 51127, 52887, 50857, 51808, 51286, 52043, 51977, 54148, 50839, 54116, 50862, 58569, 53630, 51041, 52904, 52887, 50857, 52361, 51870, 76552, 52887, 50857, 51440, 51016, 54116, 50862, 54148, 50862, 58569, 50862, 51895, 51765, 52743, 52887, 50857, 58569, 50862, 54148, 50854, 54116, 50862, 58003, 50860, 59491, 53137, 52887, 50857, 60530, 51033, 52008, 50461, 52252, 52121, 52009, 52121, 53400, 50943, 52645, 50857, 51660, 51655, 51929, 53898, 51808, 55362, 54148, 50862, 54824, 50862, 59535, 50854, 54699, 50975, 52398, 52121, 52553, 53023, 52645, 50857, 59676, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50854, 54699, 50802, 55722, 68256, 52818, 51019, 51047, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 60530, 50936, 52553, 52904, 52645, 50857, 54699, 51932, 64864, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 51927, 51765, 52772, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 57355, 50923, 55722, 53217, 52645, 50857, 54560, 53241, 51983, 53400, 51177, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53023, 52645, 50844, 51660, 52536, 59535, 50862, 54148, 50862, 54824, 50862, 59676, 52645, 50857, 51929, 52827, 59491, 68256, 52953, 51019, 51145, 52645, 50857, 51808, 51977, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53018, 52645, 50857, 51956, 50444, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 52352, 51765, 53057, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 66964, 50993, 59491, 53137, 52645, 50857, 51970, 50461, 57619, 56094, 52736, 52121, 51701, 52121, 53285, 51312, 52887, 50857, 52435, 53898, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 52944, 52887, 50857, 51660, 53898, 58569, 50862, 54148, 50862, 54116, 50862, 57451, 52887, 50857, 51440, 56073, 59491, 68256, 53063, 51069, 51448, 52887, 50857, 51808, 51184, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53115, 52887, 50844, 51960, 50444, 52887, 50857, 52361, 52369, 54116, 50862, 54148, 50862, 58569, 50862, 51927, 51765, 53057, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 63088, 51187, 53017, 52887, 50857, 52043, 51655, 51960, 53285, 51177, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53023, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 59676, 52887, 62156, 51187, 68256, 52953, 51069, 51295, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53115, 52887, 50857, 52361, 50976, 51468, 50441, 51808, 57565, 52887, 50834, 51440, 51226, 58569, 50862, 54148, 50862, 54116, 50862, 52352, 51765, 53068, 70498, 52887, 50857, 51660, 53898, 54148, 50862, 54116, 50862, 58569, 63088, 51044, 53137, 51213, 50845, 52887, 50857, 52435, 52195, 73693, 50799, 54103, 51573, 51069, 51121, 52887, 50857, 51440, 53363, 52361, 52382, 54148, 50862, 54116, 50862, 58569, 50862, 51701, 52121, 52736, 52121, 52091, 52121, 52553, 53420, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 60656, 52887, 50857, 52029, 51765, 52818, 54103, 51014, 51069, 51397, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53018, 54103, 51235, 52887, 50857, 64864, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 50862, 51927, 51765, 52802, 54103, 50936, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 63088, 51044, 53137, 54103, 51472, 52887, 50857, 51960, 53285, 51242, 52887, 50857, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 53023, 52887, 50857, 51660, 53898, 58569, 50862, 54148, 50862, 54116, 50862, 60656, 52887, 50857, 51440, 51685, 52029, 51765, 52417, 54103, 50806, 51069, 51448, 52887, 50857, 52361, 51685, 54148, 50862, 54116, 50862, 58569, 53630, 51041, 52896, 55822, 51566, 52887, 50857, 64864, 52887, 50857, 51808, 50980, 58569, 50862, 54148, 50862, 54116, 50862, 51895, 51765, 52772, 55066, 51016, 52887, 50857, 58569, 50862, 54148, 50862, 54116, 63088, 51179, 53137, 52887, 50857, 51440, 50830, 51983, 50460, 52252, 52121, 52009, 52121, 52398, 52121, 50799, 58220, 51016, 51019, 51212, 52645, 50857, 51929, 51362, 51808, 53898, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53203, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 50862, 59676, 55822, 52266, 52645, 50857, 52029, 51765, 52417, 51019, 51047, 52645, 50857, 51660, 51933, 51929, 52392, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53018, 52645, 50857, 80186, 52645, 50857, 54824, 50862, 59535, 50862, 54148, 50862, 51927, 51765, 53057, 52645, 50857, 51924, 52442, 54148, 50862, 54824, 50862, 59535, 63088, 51179, 53137, 52645, 50857, 51960, 53400, 51337, 52645, 50844, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 53023, 52645, 50857, 51660, 51585, 59535, 50862, 54148, 50862, 54824, 50862, 60656, 52645, 50844, 51929, 52266, 51248, 51765, 52818, 51019, 51244, 52645, 50857, 51808, 52311, 54148, 50862, 54824, 50862, 59535, 53630, 51041, 52742, 52645, 50857, 80186, 52645, 50857, 54824, 50862, 54148, 50862, 59535, 50862, 51927, 51765, 52772, 52457, 51021, 52645, 50857, 54148, 50862, 54824, 50862, 59535, 63088, 51044, 53137, 52457, 50936, 52645, 50844, 51970 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 3152, 16882, 6, 17407, 30, 63, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 6, 278, 11, 5, 762, 9, 230, 538, 6, 1575, 10, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 38668, 11212, 6, 8, 81, 9756, 8669, 4, 20, 15229, 7630, 6568, 10, 3344, 9, 8597, 6, 217, 657, 6, 15073, 6, 8, 9066, 1007, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 76501, 51461, 50808, 52047, 50854, 51118, 50822, 51767, 55508, 55552, 51273, 50874, 51763, 50874, 69360, 51409, 52972, 52884, 51140, 50800, 51616, 50854, 79868, 51498, 53376, 50578, 54871, 51273, 50833, 51763, 50822, 72154, 51409, 50942, 51326, 50949, 53975, 50959, 51050, 51095, 50871, 68721, 51380, 51140, 51285, 51616, 51110, 51118, 50878, 51061, 51080, 51498, 51226, 51164, 51060, 77922, 50872, 51157, 69816, 57697, 51080, 53460, 51671, 52693, 51314, 52684, 74260, 50993, 51206, 53213, 50900, 51166, 51201, 50884, 51284, 50962, 51690, 50829, 52487, 50818, 51118, 52048, 50885, 62718, 53578, 51050, 51411, 51201, 50834, 51690, 50846, 51616, 52188, 51164, 51060, 53523, 50955, 50871, 68691, 51157, 51201, 50890, 51284, 50880, 51304, 50930, 51690, 50884, 53506, 50930, 51023, 50981, 51347, 51073, 51497, 60798, 51111, 50872, 51048, 50850, 51157, 50816, 54158, 52726, 50900, 51079, 51201, 50895, 51284, 50930, 51690, 50884, 52487, 50883, 51616, 51524, 51118, 52378, 51498, 50987, 51164, 58618, 53785, 51050, 50851, 51140, 79272, 54327, 50930, 55203, 52415, 50296, 75569, 65503, 51267, 73750, 51493, 50812, 51815, 51212, 51089, 51542, 51020, 51490, 51347, 50844, 51580, 51121, 51404, 51159, 51217, 51177, 51164, 50971, 65998, 79493, 71143, 64638, 51183, 52507, 63346, 60901, 53525, 53885, 50900, 51432, 51493, 51364, 51266, 50895, 51182, 51031, 51733, 50884, 51926, 51031, 51118, 51703, 51347, 51254, 65999, 50847, 62285, 54158, 53851, 51315, 51191, 51266, 50846, 51733, 50818, 51815, 52048, 51580, 51177, 51217, 51346, 55895, 78721, 61928, 51157, 50877, 51159, 70054, 77584, 51304, 50880, 51733, 50884, 53506, 50883, 51092, 51542, 67677, 51404, 51016, 73424, 50868, 51290, 50847, 66404, 54158, 52193, 50900, 51376, 51266, 50884, 77584, 51733, 50818, 51926, 50883, 51089, 51254, 51580, 65262, 64267, 59426, 51815, 51524, 51580, 50904, 51217, 53228, 70359, 50817, 54206, 52415, 50294, 51337, 67104, 77116, 51273, 51661, 51763, 51337, 51061, 51637, 51023, 52916, 51347, 50825, 51409, 51095, 51200, 51056, 51188, 51253, 51171, 50938, 61995, 50872, 51157, 50850, 51157, 62251, 51183, 52583, 51447, 52693, 51447, 52684, 73506, 55415, 52302, 50899, 51254, 51107, 50895, 51201, 51031, 51384, 50884, 51690, 51031, 51118, 51490, 57724, 50856, 58980, 51120, 51337, 51107, 50818, 51384, 50841, 51763, 51961, 51409, 50972, 53337, 62646, 61915, 51127, 51107, 51010, 73649, 51284, 51010, 51384, 50818, 52487, 50883, 51092, 51380, 51200, 51286, 51188, 51013, 59379, 50872, 51048, 50850, 68629, 54158, 52265, 51120, 50892, 51107, 50883, 51201, 50949, 51384, 50818, 51690, 50883, 51061, 51470, 51409, 72024, 62718, 53785, 51273, 50855, 51200, 50822, 51171, 53228, 52444, 73630, 51085, 51328, 50916, 51312, 51461, 50859, 52047, 51309, 51089, 51391, 51200, 50941, 51767, 51100, 51347, 51056, 51332, 51100, 50885, 50897, 50868, 51157, 72681, 67375, 51183, 53278, 60881, 52229, 54129, 51200, 59500, 52940, 73487, 51461, 51343, 51093, 50895, 51201, 50949, 51304, 50884, 51690, 50961, 51118, 52519, 51200, 51254, 50885, 59810, 54158, 54623, 55551, 51085, 51480, 51093, 50841, 51304, 50839, 52047, 51576, 51767, 51100, 51332, 55758, 50916, 51055, 50877, 51157, 51093, 50930, 51201, 50962, 51284, 50880, 51304, 50884, 52487, 50895, 51023, 51091, 51347, 51159, 51200, 60798, 50910, 50868, 51566, 50850, 53030, 54158, 54085, 51332, 56974, 50900, 51174, 51093, 50895, 51201, 51010, 51304, 50818, 51690, 50961, 51089, 51753, 51767, 79502, 62718, 54623, 53902, 51085, 50907, 52047, 51252, 51332, 54546, 50961, 54578, 51242, 51234, 51562, 50899, 51145, 52157, 51761, 51165, 50883, 51107, 50895, 51394, 50834, 51384, 50829, 53707, 51244, 51083, 51961, 51061, 51490, 52551, 51095, 51498, 50807, 51583, 51003, 52021, 51111, 51037, 50925, 69385, 78114, 64036, 51148, 54522, 51080, 52583, 51145, 52693, 61619, 52229, 52302, 51093, 50841, 51266, 50846, 51304, 50841, 51733, 50828, 51557, 51627, 51037, 59810, 52229, 53578, 50997, 51212, 51616, 52378, 52551, 51328, 52021, 51100, 60564, 51346, 63571, 51107, 51031, 51201, 50895, 51384, 50828, 51690, 50846, 51193, 51419, 51498, 51121, 51583, 50943, 79398, 72798, 50872, 51157, 50816, 57996, 52265, 50997, 50955, 51165, 50884, 51107, 50949, 51394, 50841, 51384, 50841, 51083, 51174, 52551, 50866, 52021, 57468, 56183, 53785, 51234, 50851, 52157, 50890, 51498, 50971, 51037, 61888, 52444, 50916, 65792, 51312, 51027, 51535, 52419, 50859, 51488, 50883, 51266, 50846, 51905, 50895, 51733, 50841, 52124, 51244, 51495, 51862, 51089, 51490, 51200, 51253, 51580, 51381, 51571, 51562, 51688, 60391, 51048, 50868, 51346, 56035, 51353, 55080, 51148, 52684, 63854, 52229, 50817, 53525, 55933, 50916, 51006, 52419, 51500, 51107, 50930, 51201, 50887, 51384, 50841, 51733, 50829, 51690, 50828, 51495, 52188, 50946, 51480, 50798, 57996, 53851, 51279, 51775, 51282, 51679, 51688, 59881, 51040, 72456, 68721, 51312, 51266, 50887, 51182, 50890, 51733, 50839, 51926, 50841, 51023, 51397, 51200, 51345, 51017, 51173, 50868, 51227, 50816, 54286, 54085, 51216, 50897, 51688, 58760, 68793, 50861, 51376, 51493, 50844, 51488, 50883, 51266, 50846, 51905, 50818, 51733, 50820, 51495, 50972, 51580, 61128, 77777, 53349, 54623, 57841, 51279, 50907, 52419, 50808, 51571, 50822, 51017, 55071, 51031, 54206, 52415, 50294, 51233, 50871, 68721, 51199, 51273, 51364, 51107, 50890, 51201, 50890, 51384, 50829, 51690, 50820, 51763, 51423, 51083, 51314, 51061, 51961, 51409, 51095, 51200, 50914, 51188, 74424, 51158, 50848, 51159, 76686, 62251, 51145, 52693, 74744, 52229, 52302, 50899, 51254, 51266, 50890, 72325, 51733, 50820, 51926, 50839, 51282, 51965, 50946, 51480, 50798, 57996, 53578, 51120, 51025, 51763, 51961, 51409, 51242, 51171, 51025, 53337, 50925, 50871, 71004, 51159, 79638, 51284, 50887, 51690, 50839, 52487, 50839, 51023, 51109, 51200, 51212, 51188, 51097, 50848, 51157, 50872, 67771, 51346, 50816, 54158, 52265, 63383, 51273, 50836, 51107, 50884, 51201, 50895, 51384, 50837, 51690, 50835, 51061, 51642, 51409, 50959, 50946, 57075, 53785, 51120, 50941, 51273, 50971, 51200, 50851, 51171, 56394, 54292, 50916, 51568, 50296, 51194, 50861, 51411, 51493, 51013, 51266, 51058, 51182, 50892, 51733, 50971, 51926, 50941, 51815, 51080, 51089, 51637, 51020, 51243, 51580, 51095, 51404, 51749, 51217, 51100, 74232, 50868, 55969, 51025, 64638, 51535, 53278, 51965, 52507, 51878, 50798, 54046, 50817, 53525, 68626, 53675, 50916, 51484, 51201, 53010, 51284, 51432, 51690, 51000, 52487, 51126, 51118, 52916, 50885, 71732, 57996, 53851, 51315, 51419, 51580, 52441, 51217, 51162, 51769, 52568, 50861, 72597, 51312, 51984, 51048, 51182, 52011, 51394, 53010, 51926, 53838, 53089, 52179, 51092, 55490, 51185, 50941, 65671, 50909, 51411, 53465, 53957, 51224, 51663, 54085, 66329, 50456, 50916, 51376, 51266, 53010, 51733, 54861, 51089, 51210, 50868, 62718, 53736, 52487, 57912, 51217, 50864, 70564, 61124, 51284, 65825, 51690, 63510, 51616, 52528, 51061, 52147, 51164, 51101, 67637, 77548, 65336, 50909, 51199, 57697, 53577, 53460, 55812, 52684, 55002, 55290, 51335, 53821, 52628, 51667, 50941, 50885, 65178, 76972, 56076, 51667, 50971, 51164, 71266, 51667, 50844, 50885, 52482, 78762, 50850, 51145, 50909, 73570, 50987, 50920, 50812, 50428, 51721, 74308, 51643, 70057, 51164, 79627, 56788 ]

[ 0, 713, 15352, 30054, 5175, 2214, 6, 278, 11, 10, 38451, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 22750, 1626, 1313, 1007, 4, 27901, 10, 20535, 2810, 6, 3459, 8669, 6, 21072, 6, 8, 9590, 6, 24, 30853, 11, 5, 762, 9, 272, 538, 6, 19, 10, 33215, 13931, 9, 163, 119, 406, 6, 381, 6, 8, 272, 73, 387, 4, 20, 14899, 2574, 9, 5, 2125, 31473, 1495, 157, 7, 3618, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50796, 50796, 52563, 51354, 51098, 50975, 51195, 51242, 51355, 51328, 57946, 55438, 56130, 57474, 55438, 50424, 72998, 51493, 50802, 51195, 51058, 51250, 58266, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 65609, 51216, 51012, 51250, 51043, 51780, 62400, 55438, 55935, 55466, 52676, 73872, 53303, 51156, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 68755, 51273, 51033, 51350, 50833, 51355, 53199, 55438, 50448, 51019, 50890, 51493, 50962, 51195, 50829, 51250, 52275, 52568, 64483, 70477, 50895, 51098, 50911, 51350, 50867, 51355, 53197, 75519, 51156, 55438, 50454, 51250, 50829, 51780, 55785, 52193, 66827, 51493, 50860, 73264, 51355, 51589, 55498, 50460, 51195, 50834, 51250, 62248, 63182, 50971, 52563, 51388, 61595, 50828, 51098, 50976, 73264, 51355, 53948, 51331, 55438, 50418, 51195, 50829, 51250, 51792, 52302, 51350, 50833, 51355, 54447, 51625, 75564, 72998, 51493, 50802, 51195, 50834, 51250, 51792, 52630, 77071, 51355, 53197, 75519, 51331, 51625, 58459, 51250, 50834, 51780, 52132, 52265, 51011, 51388, 51216, 50976, 73264, 51355, 51589, 55438, 50436, 51195, 50829, 51250, 55018, 55466, 52676, 51350, 50857, 51355, 53948, 51156, 51625, 60681, 51019, 50930, 51493, 51010, 51195, 65803, 54518, 52084, 52267, 70429, 51273, 50821, 51350, 50833, 51355, 53835, 56914, 55438, 50448, 51019, 50890, 51493, 50930, 51195, 65803, 55136, 55607, 52568, 75825, 51098, 51014, 80072, 51355, 54923, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 50962, 51250, 50820, 51780, 56375, 52193, 58883, 51273, 50858, 51350, 69691, 54447, 55438, 50460, 51019, 50880, 51493, 50962, 51195, 50829, 51250, 55018, 52084, 50817, 52563, 51354, 51098, 50975, 51350, 50825, 51355, 51233, 57946, 55438, 56130, 57474, 55438, 50424, 72998, 51493, 50802, 51195, 50892, 51250, 51242, 50832, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 65609, 51216, 51012, 51250, 50892, 51780, 57154, 55438, 55935, 55466, 50817, 69832, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 68755, 51273, 51033, 51350, 50844, 51355, 51589, 55438, 50448, 51019, 50890, 51493, 50962, 51350, 50891, 51250, 52132, 52568, 64483, 51098, 50911, 51350, 50867, 51355, 53970, 75519, 51156, 55438, 50454, 51350, 50835, 51780, 56375, 52193, 66827, 51493, 50860, 51350, 69691, 56558, 54132, 60488, 51350, 50825, 51250, 54894, 52084, 50817, 52563, 51388, 51098, 50976, 51350, 69691, 54923, 51331, 55438, 50418, 51350, 50834, 51780, 51792, 52302, 51350, 69691, 51589, 51625, 75564, 72998, 51493, 50802, 51350, 50835, 51250, 52144, 52630, 51350, 69691, 53970, 75519, 51331, 51625, 58459, 51195, 50825, 51250, 57296, 52265, 51011, 51388, 51216, 54589, 55438, 55935, 55466, 50817, 69832, 51625, 60681, 51019, 50930, 51493, 51010, 51545, 50825, 51350, 54518, 54736, 55607, 52267, 70429, 51273, 50821, 51265, 51126, 51195, 55234, 56914, 55438, 50448, 51019, 50890, 51493, 50930, 51545, 50835, 51350, 54534, 55607, 52568, 75825, 51098, 51014, 71887, 51250, 54438, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 50962, 51545, 50837, 51350, 51909, 52193, 58883, 51273, 50858, 51265, 50941, 51195, 56558, 55438, 50460, 51019, 50880, 51493, 50962, 51545, 50813, 51350, 54597, 52084, 50817, 52563, 51354, 51098, 50975, 51195, 51242, 51355, 51328, 57946, 55438, 56130, 57474, 55438, 50424, 72998, 51493, 50802, 51195, 51058, 51250, 58266, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 65609, 51216, 51012, 51250, 51043, 51780, 62400, 55438, 55935, 55466, 52676, 73872, 53303, 51156, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 68755, 51273, 51033, 51350, 50833, 51355, 53199, 55438, 50448, 51019, 50890, 51493, 50962, 51195, 50829, 51250, 52275, 52568, 64483, 70477, 50895, 51098, 50911, 51350, 50867, 51355, 53197, 75519, 51156, 55438, 50454, 51250, 50829, 51780, 55785, 52193, 66827, 51493, 50860, 73264, 51355, 51589, 55498, 50460, 51195, 50834, 51250, 62248, 63182, 50971, 52563, 51388, 61595, 50828, 51098, 50976, 73264, 51355, 53948, 51331, 55438, 50418, 51195, 50829, 51250, 51792, 52302, 51350, 50833, 51355, 54447, 51625, 75564, 72998, 51493, 50802, 51195, 50834, 51250, 51792, 52630, 77071, 51355, 53197, 75519, 51331, 51625, 58459, 51250, 50834, 51780, 52132, 52265, 51011, 51388, 51216, 50976, 73264, 51355, 51589, 55438, 50436, 51195, 50829, 51250, 55018, 55466, 52676, 51350, 50857, 51355, 53948, 51156, 51625, 60681, 51019, 50930, 51493, 51010, 51195, 65803, 54518, 52084, 52267, 70429, 51273, 50821, 51350, 50833, 51355, 53835, 56914, 55438, 50448, 51019, 50890, 51493, 50930, 51195, 65803, 55136, 55607, 52568, 75825, 51098, 51014, 80072, 51355, 54923, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 50962, 51250, 50820, 51780, 56375, 52193, 58883, 51273, 50858, 51350, 69691, 54447, 55438, 50460, 51019, 50880, 51493, 50962, 51195, 50829, 51250, 55018, 52084, 50817, 52563, 51354, 51098, 54482, 51331, 55438, 56130, 52302, 51350, 50904, 51355, 54447, 55438, 50424, 72998, 51493, 50802, 51195, 50825, 51250, 51949, 52630, 51350, 50867, 51355, 54923, 75519, 51331, 55438, 50430, 51780, 54870, 52265, 65609, 51216, 51012, 51350, 69691, 54447, 55438, 50436, 51195, 73885, 54518, 55466, 52676, 51350, 69691, 53835, 51156, 55438, 50442, 51019, 50930, 51493, 50811, 51780, 55651, 52084, 52267, 68755, 51273, 51033, 51350, 50867, 51355, 55316, 55438, 50448, 51019, 50890, 51493, 50962, 51195, 50835, 51250, 52132, 52568, 64483, 51098, 50911, 51350, 50835, 51355, 52784, 75519, 51156, 55438, 50454, 51195, 50835, 51250, 53739, 52193, 66827, 51493, 50860, 51545, 50835, 51350, 57444, 54132, 60488, 51195, 54870, 50817, 50799, 51250, 53983, 51331, 55534, 74511, 51098, 61493, 71523, 64124, 50817, 51570, 52267, 51099, 57099, 51099, 71772, 51099, 52349, 51099, 50821, 66301, 51167, 50953, 51354, 51098, 50975, 51195, 51337, 51250, 51194, 57946, 55438, 56130, 57474, 55438, 50424, 51232, 51173, 72998, 51493, 50802, 51545, 50901, 51350, 51177, 50832, 50817, 52389, 75519, 51331, 55438, 56096, 52265, 51119, 51427, 65609, 51216, 51012, 51350, 51242, 51355, 74742, 55438, 55935, 55466, 50817, 69832, 55438, 50442, 51019, 50930, 51493, 52279, 52084, 52267, 51099, 50921, 68755, 51273, 55043, 55438, 50448, 51019, 50890, 51493, 55607, 52568, 51099, 50821, 64483, 51098, 55195, 75519, 51156, 55438, 50454, 51099, 52240, 52193, 51099, 50821, 66827, 51493, 52715, 55498, 50460, 51068, 63182, 50971, 66301, 51160, 50953, 51388, 51098, 50976, 51195, 51212, 51250, 55998, 51331, 55438, 56130, 57474, 51625, 75564, 51232, 50806, 72998, 51493, 50802, 51545, 51101, 51350, 51177, 50832, 50817, 52389, 75519, 51331, 51625, 50811, 56096, 52265, 51119, 51043, 51011, 51388, 51216, 50976, 51350, 50987, 51355, 55325, 55438, 55935, 55466, 50817, 69832, 51625, 60681, 51099, 50895, 51019, 50930, 51493, 56606, 52084, 52267, 78891, 70429, 51273, 52589, 56914, 55438, 50448, 51019, 50890, 51493, 54451, 55607, 52568, 51099, 50858, 75825, 51098, 57642, 59392, 54736, 51156, 55438, 50454, 51019, 50890, 51493, 55607, 52193, 51099, 50940, 58883, 51273, 52153, 55438, 50460, 51019, 50880, 51493, 56106, 52084, 50817, 50799, 51429, 51014, 50953, 51354, 51098, 50975, 51195, 50974, 51250, 57685, 51331, 55438, 56130, 52302, 51153, 52153, 55438, 50424, 51429, 50962, 72998, 51493, 54132, 50817 ]

[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 149, 63, 15352, 30054, 15229, 4, 1698, 30514, 30, 5, 6878, 3222, 5785, 9, 228, 438, 4781, 2088, 6757, 6, 36075, 8669, 6, 2382, 3459, 8669, 6, 81, 9756, 8669, 6, 8, 21072, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 272, 10431, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 230, 10431, 6, 12608, 119, 6, 163, 119, 1176, 406, 6, 8, 2060, 119, 6, 8216, 7, 63, 17627, 17274, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 66243, 53615, 50811, 50799, 53615, 52267, 53615, 50817, 50799, 51889, 68640, 55138, 51889, 52981, 53867, 64647, 50380, 53047, 53910, 51889, 52905, 51889, 68640, 53943, 51889, 52844, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 51889, 68640, 54704, 51889, 52878, 53867, 64647, 50380, 53047, 54417, 51889, 53886, 51889, 50385, 53047, 55726, 51889, 52738, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 50799, 51889, 68640, 55138, 51889, 52981, 53867, 64647, 50380, 53047, 53910, 51889, 52905, 51889, 68640, 53943, 51889, 52844, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 51889, 68640, 54704, 51889, 52878, 53867, 64647, 50380, 53047, 54417, 51889, 53035, 51889, 68640, 53922, 51889, 52738, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 72574, 50897, 52971, 50836, 52023, 53351, 51156, 73342, 60356, 50385, 53047, 57780, 51889, 64682, 52669, 50977, 51641, 72207, 52971, 50841, 52023, 50379, 52438, 64647, 51904, 50606, 55155, 51889, 61057, 51641, 54919, 52669, 50987, 52971, 50841, 52023, 51406, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 52669, 50987, 52971, 50841, 52023, 50841, 51641, 50865, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 52343, 50866, 52160, 50855, 51583, 50855, 52061, 50911, 52963, 56420, 60356, 51904, 50606, 59779, 51889, 52878, 52343, 50925, 52160, 50836, 51583, 50380, 54118, 64647, 51904, 50606, 55932, 51889, 53035, 52343, 50977, 52160, 50841, 51583, 66162, 50385, 53047, 50813, 51441, 52073, 54139, 51889, 52738, 52343, 50845, 52160, 50828, 51583, 50828, 52298, 50948, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 76310, 50925, 52023, 50841, 51856, 50841, 52061, 50948, 52963, 73342, 60356, 50385, 53047, 57780, 51889, 52981, 52023, 50846, 51856, 50846, 51641, 52195, 53867, 64647, 51904, 50606, 57987, 52426, 65605, 51889, 53425, 52426, 50937, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 52426, 50987, 52023, 50846, 51856, 73158, 64647, 51904, 50606, 55310, 51889, 53574, 52426, 50978, 52023, 50828, 51856, 53756, 51052, 58386, 50881, 50606, 52180, 50606, 56532, 51889, 52878, 52023, 50818, 51856, 74811, 64647, 51904, 50606, 62426, 52426, 71149, 51889, 53035, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 65170, 52426, 50987, 50453, 51889, 52738, 52023, 50818, 51856, 52493, 50385, 53830, 64647, 50380, 53047, 61242, 53724, 74238, 51889, 50836, 50799, 52971, 50836, 52023, 53351, 51052, 63511, 50881, 50606, 52180, 50606, 58315, 52669, 64625, 51889, 52981, 52971, 50841, 52023, 50841, 51641, 50936, 53867, 64647, 51904, 50606, 64355, 52669, 75827, 51889, 52905, 52971, 50841, 52023, 50841, 51641, 50917, 51441, 52073, 64647, 50385, 53047, 63567, 52669, 50955, 50429, 51889, 59185, 51641, 57356, 52971, 50841, 52023, 50379, 53290, 64647, 50380, 53047, 62425, 52669, 57815, 51889, 53219, 52343, 50917, 52160, 50855, 51583, 50855, 52061, 50940, 52963, 56420, 60356, 50385, 53047, 56714, 51889, 54465, 52160, 50836, 51583, 50380, 54118, 64647, 51904, 50606, 62426, 52343, 67168, 51889, 53035, 52160, 50841, 51583, 51406, 50379, 52073, 64647, 50385, 53047, 65170, 52343, 50854, 52061, 70494, 51889, 52738, 52343, 50795, 52160, 50828, 51583, 78311, 64647, 50380, 53047, 61242, 52298, 57264, 51889, 50828, 50799, 52023, 50841, 51856, 53852, 51156, 73342, 60356, 50385, 53047, 70623, 53724, 50830, 52061, 78006, 51889, 52981, 53724, 50952, 52023, 50846, 51856, 71239, 64647, 50380, 53047, 62846, 52298, 75177, 51889, 53425, 53724, 50866, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 53724, 50942, 52023, 50846, 51856, 73158, 64647, 50380, 53047, 54350, 51889, 53574, 53724, 50937, 52023, 50828, 51856, 61490, 52180, 50606, 53197, 51052, 58386, 55092, 51889, 52878, 53724, 50977, 52023, 50818, 51856, 74811, 64647, 50380, 53047, 54417, 51889, 53035, 53724, 50942, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 51904, 50606, 58215, 51889, 52738, 53724, 50937, 52023, 50818, 51856, 52493, 50385, 53830, 64647, 50380, 53047, 54655, 51889, 50828, 72574, 50897, 52971, 50836, 52023, 52217, 53104, 50606, 52180, 50606, 53197, 57193, 55804, 51889, 61923, 52669, 68531, 52971, 50841, 52023, 50841, 51641, 51030, 53867, 64647, 51904, 50606, 55155, 51889, 52905, 52669, 50987, 52971, 50841, 52023, 50841, 51641, 50938, 51441, 53047, 50385, 53047, 71124, 54056, 51889, 52844, 52669, 50987, 52971, 50841, 52023, 50841, 51641, 50917, 52834, 64647, 50380, 53047, 54350, 51889, 53219, 52343, 50866, 52160, 50855, 51583, 50855, 52061, 50936, 52963, 56420, 60356, 50385, 53047, 56714, 51889, 54465, 52343, 50925, 52160, 50836, 51583, 50380, 54118, 64647, 51904, 50606, 55932, 51889, 53035, 52343, 50977, 52160, 50841, 51583, 51406, 50379, 53047, 50385, 53047, 71124, 54139, 51889, 53875, 52343, 50845, 52160, 50828, 51583, 50828, 52298, 50795, 52834, 64647, 50380, 53047, 54655, 51889, 50828, 76310, 50925, 52023, 50841, 51856, 53852, 51156, 73342, 60356, 50385, 53047, 70623, 52061, 50924, 50417, 51889, 52981, 52023, 50846, 51856, 71239, 64647, 51904, 50606, 64355, 52426, 50942, 51641, 51356, 50423, 51889, 52905, 52426, 50937, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 55863, 51889, 52844, 52426, 50987, 52023, 50846, 51856, 73158, 64647, 50380, 53047, 54350, 51889, 53219, 52426, 50978, 52023, 50828, 51856, 53756, 51156, 56420, 60356, 50385, 53047, 56714, 51889, 54465, 52023, 50818, 51856, 74811, 64647, 50380, 53047, 62120, 52426, 71149, 51889, 53035, 52023, 50846, 51856, 51239, 50379, 52073, 64647, 50385, 53047, 65170, 52426, 50987, 50453, 51889, 52738, 52023, 50818, 51856, 71728, 64647, 55476, 50385, 53047, 62223, 53724, 74238, 51889, 50828, 50799, 52971, 50836, 52023, 52217, 50383, 53047, 50385, 53047, 52784, 57193, 58320, 52669, 64625, 51889, 52981, 52971, 50841, 52023, 50841, 51641, 50948, 53867, 64647, 50380, 53047, 62846, 52669, 75827, 51889, 53425, 52971, 50841, 52023, 50841, 51641, 50938, 51441, 52073, 64647, 50385, 53047, 63567, 52669, 50955, 50429, 51889, 53695, 52971, 50841, 52023, 50841, 51641, 50910, 52834, 64647, 51904, 50606, 62089, 52669, 57815, 51889, 53219, 52343, 50917, 52160, 50855, 51583, 50855, 51641, 50952, 52963, 56420, 60356, 50385, 53047, 56714, 51889, 52878, 52160, 50836, 51583, 50380, 54118, 64647, 50380, 53047, 62120, 52343, 50942, 51641, 54368, 51889, 53035, 52160, 50841, 51583, 50841, 51641, 51030, 51441, 53047, 51904, 50606, 61945, 60949, 52343, 57622, 51889, 52738, 52343, 50795, 52160, 50828, 51583, 50828, 51641, 50897, 52834, 64647, 50380, 53047, 54655, 51889, 50836, 50799, 52023, 50841, 51856, 50841, 51641, 57603, 58320, 53724, 55587, 51641, 50821, 52389, 52676, 50804, 50817, 53012, 50962, 54141, 74176, 51341, 51012, 52612, 56604, 51083, 63066, 50811, 53061, 56354, 51495, 51685, 50804, 50949, 52198, 50949, 72574, 50940, 52971, 50836, 52023, 53351, 51156, 69628, 64329, 51010, 50419, 52669, 59771, 52971, 50841, 52023, 59891, 51641, 55889, 52669, 50938, 52971, 50841, 52023, 50841, 51641, 50938, 52777, 54562, 52669, 50878, 52971, 50841, 52023, 50841, 51641, 53071, 57776, 51341, 74123, 52343, 50937, 52160, 50855, 51583, 50855, 52061, 51033, 52963, 61945, 52940, 52343, 50878, 52160, 50836, 51583, 52217, 54915, 52343, 50897, 52160 ]

[ 0, 250, 765, 5175, 2214, 4246, 10, 38668, 483, 6, 32017, 6, 326, 15673, 10342, 6, 3023, 4360, 25999, 6, 8, 17605, 9590, 6, 2351, 10, 11739, 9, 2635, 8, 15352, 30054, 4785, 19, 41, 20425, 26438, 1264, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 55587, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 53244, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 54372, 55693, 50830, 60588, 50830, 60302, 50865, 76951, 53402, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 54630, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 53484, 60588, 50830, 50725, 50347, 50830, 50763, 50347, 54896, 55693, 50830, 60588, 50830, 60302, 50865, 76951, 50830, 50799, 50725, 50336, 50918, 50725, 50348, 50918, 52987, 50918, 53112, 50918, 52452, 50918, 50664, 50339, 50809, 50763, 50348, 76971, 69981, 54745, 50664, 50339, 59182, 69981, 52628, 50664, 50339, 58741, 69981, 53467, 50664, 50339, 58067, 69981, 52329, 50664, 50339, 63601, 69981, 54056, 50664, 50339, 58607, 69981, 52359, 50664, 50339, 57307, 69981, 53307, 50664, 50339, 58291, 69981, 52444, 50725, 50347, 50865, 54862, 50865, 52412, 50865, 53134, 50865, 50763, 50347, 55700, 50688, 50306, 55178, 60302, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 54025, 50865, 50763, 50344, 56202, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54725, 60588, 50865, 76951, 54930, 50725, 50344, 50865, 54025, 50865, 50763, 50344, 55700, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 55178, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 54025, 50865, 50763, 50344, 56202, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54725, 50725, 50344, 50800, 50763, 50344, 52262, 50725, 50345, 50800, 69423, 51724, 50725, 50344, 50807, 57073, 50865, 50763, 50344, 53218, 52987, 50865, 53134, 55178, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50342, 50865, 57073, 50865, 50763, 50342, 56202, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54919, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54725, 60588, 50865, 76951, 54930, 50725, 50342, 50865, 57073, 50865, 50763, 50342, 55700, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 55178, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50342, 50865, 57073, 50865, 50763, 50342, 56202, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54919, 50725, 50342, 50865, 52987, 50865, 53134, 50865, 50763, 50342, 54725, 50725, 50342, 50800, 50763, 50342, 52262, 50725, 50344, 50800, 50763, 50344, 51724, 50725, 50342, 50807, 54025, 50865, 50763, 50342, 53218, 53638, 50865, 52117, 55178, 79355, 50865, 53638, 50865, 52117, 50865, 50763, 50340, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 54025, 50865, 53512, 51047, 50763, 50344, 56202, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 53638, 50865, 52117, 50865, 50763, 50344, 54725, 60588, 50865, 76951, 54930, 50725, 50344, 50865, 54495, 50865, 54205, 51047, 50763, 50344, 55700, 50725, 50344, 50865, 52479, 50865, 52751, 50865, 50763, 50344, 55178, 50725, 50344, 50865, 52479, 50865, 52751, 50865, 50763, 50344, 55037, 60588, 50865, 76951, 50865, 50799, 50725, 50344, 50865, 53209, 50865, 53079, 51047, 50763, 50344, 56202, 50725, 50344, 50865, 52408, 50865, 52696, 50865, 50763, 50344, 54919, 50725, 50344, 50865, 52408, 50865, 52696, 50865, 50763, 50344, 54725, 50725, 50342, 50800, 50763, 50342, 52262, 50725, 50344, 50800, 50763, 50344, 51724, 50725, 50345, 50807, 55537, 50865, 54097, 51047, 69423, 53218, 53112, 50865, 54133, 55178, 50725, 50349, 50807, 53112, 50865, 54133, 50865, 50763, 50349, 50807, 50799, 50725, 50347, 50865, 53931, 50865, 52174, 51047, 50763, 50347, 56202, 50725, 50347, 50865, 53134, 50865, 52452, 50865, 50763, 50347, 54919, 50725, 50347, 50865, 53134, 50865, 52452, 50865, 50763, 50347, 54725, 60588, 50865, 76951, 54930, 50725, 50345, 50865, 56845, 50865, 52696, 51047, 69423, 55700, 50725, 50345, 50865, 52412, 50865, 53134, 50865, 69423, 55178, 50725, 50345, 50865, 52412, 50865, 53134, 50865, 69423, 55037, 50725, 50339, 50865, 50763, 50339, 50865, 50799, 79355, 50918, 54495, 50865, 52648, 50865, 52751, 51047, 50763, 50340, 55834, 54025, 50865, 54495, 54930, 54495, 50865, 52648, 55178, 60060, 50991, 52174, 50991, 50763, 50332, 75997, 56326, 50800, 52696, 50800, 50763, 50330, 50800, 50799, 60060, 50918, 54025, 50918, 52648, 50795, 52751, 50807, 50763, 50332, 54994, 53638, 51631, 52412, 50795, 52174, 53182, 53638, 51646, 60588, 50918, 54495, 50918, 52648, 50795, 53512, 50983, 76951, 56027, 53638, 51798, 52412, 51923, 53638, 50795, 55013, 50795, 50799, 61557, 50918, 53209, 50918, 52276, 50795, 54097, 50807, 50763, 50333, 54994, 52408, 51631, 52117, 50795, 53079, 53182, 52408, 51646, 66105, 50918, 55537, 50918, 53714, 50795, 55939, 50983, 50763, 50337, 56027, 52408, 51798, 52117, 51923, 52408, 50795, 53512, 50795, 50799, 50725, 50339, 50807, 53931, 50918, 52412, 50795, 62363, 50809, 50763, 50339, 70374, 65444, 54745, 62363, 59182, 65444, 52628, 53134, 50795, 62363, 58741, 65444, 53467, 62363, 58067, 65444, 52329, 79355, 50807, 52452, 50795, 64722, 50809, 50763, 50340, 50807, 50428, 58390, 54056, 64722, 58607, 58390, 52359, 53134, 50795, 64722, 57307, 58390, 53307, 64722, 58291, 58390, 52444, 50725, 50342, 50807, 54256, 50918, 52412, 50795, 62776, 50809, 50763, 50342, 68647, 62363, 54790, 62776, 59586, 62363, 52510, 53134, 50795, 62776, 57993, 62363, 53401, 62776, 59248, 62363, 52555, 50725, 50345, 50807, 52452, 50795, 63582, 50809, 69423, 50807, 50452, 62776, 54139, 63582, 59310, 62776, 52485, 53134, 50795, 63582, 58839, 62776, 53793, 63582, 57747, 62776, 50809, 50799, 50725, 50344, 50918, 54495, 50918, 52648, 50795, 65511, 50809, 50763, 50344, 76971, 64722, 54745, 65511, 59182, 64722, 52628, 53638, 50795, 65511, 58741, 64722, 53467, 65511, 58067, 64722, 52329, 52412, 50795, 65511, 63601, 64722, 54056, 65511, 58607, 64722, 52359, 53638, 50795, 65511, 57307, 64722, 53307, 65511, 58291, 64722, 52444, 54025, 50918, 52648, 51918, 53638, 51798, 60060, 50991, 52412, 50795, 52174, 50991, 50763, 50332, 59592, 53638, 54093, 56326, 50800, 52696, 50800, 50763, 50330, 50800, 50799, 60060, 50918, 54025, 50918, 52648, 50795, 52751, 50807, 50763, 50332, 54994, 53638, 51631, 52412, 50795, 52174, 53182, 53638, 51646, 60588, 50918, 54495, 50918, 52648, 50795, 53512, 50983, 76951, 56027, 53638, 51798, 52412, 51923, 53638, 50795, 55013, 50795, 50799, 61557, 50918, 53209, 50918, 52276, 50795, 54097, 50807, 50763, 50333, 54994, 52408, 51631, 52117, 50795, 53079, 53182, 52408, 51646, 66105, 50918, 55537, 50918, 53714, 50795, 55939, 50983, 50763, 50337, 56027, 52408, 51798, 52117, 51923, 52408, 50795, 53512, 50795, 50799, 50725, 50339, 50807, 53931, 50918, 52412, 50795, 50664, 50339, 50809, 50763, 50339, 70374, 65511, 54745, 50664, 50339, 59182, 65511, 52628, 53134, 50795, 50664, 50339, 58741, 65511, 53467, 50664, 50339, 58067, 65511, 52329, 50725, 50338, 50795, 52452, 50795, 50664, 50339, 50809, 50763, 50338, 64977, 65511, 54056, 50664 ]

[ 0, 4688, 5175, 15352, 30054, 2214, 19, 10, 19834, 16464, 6, 4246, 3459, 13305, 8, 13305, 816, 5, 483, 6, 7513, 30, 3459, 9590, 6, 6755, 12547, 6, 8, 21072, 4, 85, 18, 278, 11, 5, 762, 9, 274, 538, 19, 10, 16331, 33215, 16739, 9, 274, 6, 272, 119, 406, 6, 274, 73, 250, 6, 8, 230, 4, 20, 1349, 11498, 10, 1769, 20889, 9, 9680, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 29354, 20425, 8, 2933, 4785, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50913, 52115, 52365, 51631, 52365, 51736, 50913, 51646, 52365, 51918, 52365, 51798, 51236, 51923, 51236, 50795, 50799, 51394, 51036, 52365, 52910, 52365, 52424, 52365, 52728, 52365, 50807, 50799, 51629, 50795, 52365, 53561, 51182, 51631, 65085, 52365, 52424, 67733, 52365, 53218, 51201, 51798, 67837, 52365, 50807, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 70564, 63847, 52115, 50945, 51631, 51201, 63847, 51736, 50945, 51646, 51201, 58536, 51918, 51201, 58536, 51798, 50945, 51923, 55436, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 51011, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 52930, 50795, 74531, 51011, 51631, 53826, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 53826, 66820, 51798, 53826, 66820, 51923, 53826, 50795, 58819, 50799, 53826, 50795, 51890, 50918, 52158, 50918, 52092, 50918, 52569, 50918, 65431, 51186, 52115, 54057, 50795, 51394, 66820, 51631, 54057, 50795, 65431, 51186, 51736, 54057, 66820, 51646, 54057, 50795, 52647, 50918, 51771, 50918, 52158, 50918, 53234, 50918, 51395, 66820, 51918, 54057, 50795, 51394, 66820, 51798, 52627, 50795, 51395, 66820, 51923, 54057, 50795, 58819, 50799, 54462, 50795, 51629, 50795, 50684, 50312, 52115, 52627, 50795, 70446, 58374, 51631, 52569, 50807, 65085, 59775, 52424, 53234, 50795, 67733, 62027, 51918, 52569, 50795, 65979, 59775, 51798, 52627, 50807, 67837, 58374, 50807, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 52930, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 51186, 51798, 51186, 51923, 58819, 50799, 52647, 50918, 51771, 50918, 51959, 50918, 53234, 50918, 67733, 51133, 52115, 51394, 68782, 51631, 67733, 51133, 51736, 51133, 51646, 52003, 50918, 51890, 50918, 52158, 50918, 52092, 50918, 65979, 51271, 51918, 51394, 71348, 51798, 65979, 51271, 51923, 66709, 50799, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 51093, 63847, 52115, 52930, 58536, 51631, 52930, 58536, 51736, 52930, 58536, 51646, 52930, 58536, 51918, 52930, 58536, 51798, 52930, 58536, 51923, 52930, 50795, 55436, 50799, 52930, 50795, 51890, 51036, 51816, 51036, 51959, 51036, 52569, 51036, 60595, 51011, 52115, 53826, 50795, 74531, 51011, 51631, 54337, 50795, 60595, 51011, 51736, 54337, 75886, 51646, 51011, 51918, 51011, 51798, 51011, 51923, 56414, 50799, 51890, 51036, 52158, 51036, 52092, 51036, 52569, 51036, 65431, 51186, 52115, 51394, 66820, 51631, 65431, 51186, 51736, 51186, 51646, 51186, 51918, 53826, 66820, 51798, 53826, 66820, 51923, 53826, 50795, 58819, 50799, 53826, 50795, 51890, 50918, 52158, 50918, 52092, 50918, 52569, 50918, 65431, 51186, 52115, 54057, 50795, 51394, 66820, 51631, 54057, 50795, 65431, 51186, 51736, 54057, 66820, 51646, 54057, 50795, 52647, 50918, 51771, 50918, 52158, 50918, 53234, 50918, 51395, 66820, 51918, 54057, 50795, 51394, 66820, 51798, 52627, 50795, 51395, 66820, 51923, 54057, 50795, 58819, 50799, 54462, 50795, 51629, 50795, 50684, 50312, 52115, 52627, 50795, 70446, 58374, 51631, 52569, 50807, 65085, 59775, 52424, 53234, 50795, 67733, 62027, 51918, 52569, 50795, 65979, 59775, 51798, 52627, 50807, 67837, 58374, 50807, 50799, 51890, 51036, 51816, 51036, 51959, 51036 ]

[ 0, 250, 15855, 2125, 4246, 3551, 139, 6, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 326, 5638, 18026, 6, 8, 32909, 6, 7630, 14805, 10, 1472, 9, 9733, 8, 15073, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 42, 765, 2214, 22848, 10, 33215, 16739, 9, 272, 119, 6, 12608, 119, 6, 8, 272, 6, 2351, 10, 25306, 5466, 1969, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 68051, 50818, 60351, 50961, 53398, 50883, 53011, 55060, 52670, 51299, 50846, 60351, 50883, 53398, 50895, 53011, 53479, 53031, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53338, 58039, 51299, 50846, 60351, 50884, 53398, 50884, 53011, 54866, 60591, 51299, 50818, 60351, 50883, 53398, 50895, 53011, 54866, 52742, 51299, 50846, 60351, 50887, 53398, 50887, 53011, 53850, 53162, 51299, 50818, 60351, 50895, 53398, 50884, 53011, 54866, 57785, 51299, 50846, 60351, 50895, 53398, 50884, 53011, 54866, 62749, 51299, 50818, 53011, 50884, 60351, 50961, 53398, 53850, 52763, 54138, 50846, 51426, 50846, 51375, 50818, 50693, 50276, 50961, 58274, 50895, 55323, 50895, 51085, 58888, 60290, 57282, 66730, 54138, 50820, 51375, 50895, 51426, 50846, 50693, 50276, 50961, 58274, 50961, 55323, 50884, 52206, 54212, 57098, 54138, 50841, 51375, 50818, 51426, 50846, 50693, 50276, 50883, 58274, 50895, 55323, 50883, 51085, 54131, 58677, 52206, 53173, 54138, 50895, 51375, 50895, 51426, 50846, 50693, 50276, 50883, 58274, 50895, 55323, 55019, 50365, 51367, 62348, 50835, 68051, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52712, 51299, 50846, 60351, 50883, 53398, 50895, 53011, 53850, 52953, 51299, 50846, 60351, 50961, 53398, 50883, 53011, 53479, 59347, 51299, 50818, 60351, 50884, 53398, 50884, 53011, 54866, 60591, 51299, 50818, 60351, 50961, 53398, 50961, 53011, 53479, 52621, 51299, 50846, 60351, 50961, 53398, 50895, 53011, 53338, 52875, 51299, 50846, 53011, 50961, 60351, 50883, 53398, 53338, 57785, 51299, 50895, 53011, 53338, 54284, 60351, 50884, 53398, 64915, 51299, 50884, 53011, 50883, 60351, 50883, 53398, 53338, 52772, 54138, 50818, 51426, 50818, 51375, 50846, 55323, 50895, 50693, 50276, 50883, 58274, 50895, 51085, 52990, 50366, 51367, 56870, 64125, 54138, 50828, 51426, 50846, 51375, 50884, 55323, 50884, 50693, 50276, 50961, 58274, 50961, 52206, 53966, 59699, 54138, 50895, 51375, 50818, 51426, 50846, 55323, 50883, 50693, 50276, 50961, 58274, 50961, 51085, 54866, 53007, 54138, 50846, 51426, 50846, 51375, 50895, 55323, 50961, 50693, 50276, 50961, 58274, 50961, 52206, 75454, 62348, 53612, 51004, 68051, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52928, 51299, 50895, 53011, 50961, 60351, 50961, 53398, 53850, 52953, 53011, 50961, 60351, 50961, 53398, 53479, 57004, 51299, 56859, 53011, 50884, 60351, 50884, 53398, 54866, 54483, 51299, 58024, 53011, 50883, 60351, 50961, 53398, 53850, 57352, 51299, 52565, 51299, 50884, 53011, 50895, 60351, 50961, 53398, 53850, 52875, 51299, 50884, 53011, 50883, 60351, 50883, 53398, 53338, 59279, 51299, 50846, 53011, 50961, 60351, 50884, 53398, 54866, 62749, 51299, 50818, 53011, 50884, 60351, 50883, 53398, 53338, 52802, 54138, 50846, 51357, 50846, 51426, 50884, 51426, 50895, 55323, 50895, 50693, 50276, 50883, 58274, 50895, 51085, 60486, 60526, 56870, 64125, 54138, 50846, 51357, 50884, 51426, 50846, 51426, 50846, 55323, 50883, 50693, 50276, 50961, 58274, 50961, 52206, 54212, 57690, 54138, 50895, 51357, 50846, 51426, 50846, 51426, 50884, 55323, 50883, 50693, 50276, 50961, 58274, 50961, 51085, 52572, 53137, 54138, 50884, 51426, 50846, 51357, 50895, 51426, 50818, 55323, 50961, 50693, 50276, 50961, 58274, 50961, 52206, 53988, 60008, 59121, 51004, 68051, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52712, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 54866, 53063, 60351, 50961, 53398, 50961, 53011, 53850, 57004, 51299, 59871, 60351, 50895, 53398, 50884, 53011, 54866, 54034, 51299, 61385, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53479, 52621, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53850, 52986, 60351, 50961, 53398, 50961, 53011, 53850, 60822, 51299, 60635, 51299, 50818, 60351, 50884, 53398, 50884, 53011, 54866, 62749, 51299, 50884, 60351, 50883, 53398, 50895, 53011, 54866, 58145, 50856, 58271, 54138, 50895, 51426, 50846, 51375, 50895, 51357, 50846, 55323, 50884, 50693, 50276, 50895, 58274, 50884, 51085, 58888, 56870, 64314, 54138, 50846, 51375, 50846, 51357, 50884, 51426, 50846, 50693, 50276, 50895, 58274, 50884, 55323, 50883, 52206, 53966, 57690, 51357, 50884, 51426, 50846, 51375, 50818, 50693, 50276, 50961, 58274, 50961, 55323, 50884, 51085, 54499, 59644, 54138, 53685, 54138, 50846, 51357, 50884, 51375, 50818, 51426, 50846, 50693, 50276, 50961, 58274, 50961, 55323, 50961, 52206, 58888, 59121, 62348, 50825, 63355, 51167, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53850, 57030, 51947, 75274, 51947, 51388, 51299, 50895, 53011, 50895, 60351, 50961, 53398, 53850, 56680, 51431, 65744, 53011, 50883, 60351, 50961, 53398, 53850, 57004, 51299, 59311, 51299, 50846, 53011, 50884, 60351, 50895, 53398, 54866, 62196, 51299, 50846, 53011, 50961, 60351, 50961, 53398, 53850, 52766, 51299, 50884, 53011, 50884, 60351, 50895, 53398, 54866, 56819, 51431, 51192, 51947, 51354, 50444, 51299, 50884, 53011, 50883, 60351, 50961, 53398, 53850, 56892, 51299, 50846, 53011, 50884, 60351, 50884, 53398, 54866, 60411, 51299, 50895, 53011, 50884, 60351, 50883, 53398, 53338, 52743, 52211, 50923, 53542, 50923, 54138, 50949, 51375, 50895, 51299, 50846, 55323, 50884, 50693, 50276, 50884, 58274, 54866, 64314, 54138, 50828, 51299, 50895, 51375, 50846, 50693, 50276, 50883, 58274, 50895, 55323, 53850, 57098, 54138, 50949, 51299, 50884, 51375, 50846, 55323, 50883, 50693, 50276, 50961, 58274, 53850, 53217, 54138, 50828, 51299, 50895, 51375, 50846, 55323, 50961, 50693, 50276, 50961, 58274, 53850, 54026, 51641, 50880, 51968, 50949, 63355, 50980, 51947, 51160, 51299, 50895, 53011, 50884, 60351, 50961, 53398, 53850, 52928, 52211, 51021, 53542, 50923, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52953, 53011, 50961, 60351, 50961, 53398, 53338, 58803, 51299, 60063, 51299, 50846, 53011, 50884, 60351, 50884, 53398, 54866, 54248, 51641, 50930, 51968, 60958, 51299, 50818, 53011, 50961, 60351, 50961, 53398, 53850, 52621, 51431, 51226, 51947, 51226, 51299, 50895, 53011, 50895, 60351, 50895, 53398, 54866, 53027, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 56892, 51299, 50846, 60351, 50884, 53398, 50884, 53011, 53479, 60411, 51299, 50846, 60351, 50961, 53398, 50961, 53011, 53850, 52772, 54138, 50949, 51299, 50818, 51426, 50895, 50693, 50276, 50961, 58274, 50883, 55323, 53338, 67099, 54138, 50846, 51426, 50846, 51299, 50846, 50693, 50276, 50961, 58274, 50961, 55323, 53850, 58345, 51299, 62962, 54138, 50949, 51426, 50818, 50693, 50276, 50961, 58274, 50961, 55323, 54866, 53137, 54138, 50841, 51426, 50846, 51299, 50895, 50693, 50276, 50961, 58274, 50961, 55323, 53850, 50829, 65578, 51167, 51866, 51354, 51299, 50895, 60351, 50961, 53398, 50961, 53011, 53850, 52928, 51579, 51379, 51866, 51354, 51299, 50895, 53011, 50961, 60351, 50961, 53398, 53850, 52953, 53011, 50961, 60351, 50961, 53398, 53479, 57004, 51299, 56859, 53011, 50884, 60351, 50884, 53398, 54866, 54483, 51299, 58024, 53011, 50883, 60351, 50961, 53398, 53850, 57352, 51299, 52565, 51579, 51167, 51866, 51167, 51299, 50884, 53011, 50895, 60351, 50961, 53398, 53850, 52875, 51299, 50884, 53011, 50883, 60351, 50883, 53398, 53338, 59279, 51299, 50846, 53011, 50961, 60351, 50884, 53398, 54866, 62749, 51299, 50818, 53011, 50884, 60351, 50883, 53398, 53338, 52802, 52264, 50936, 52377, 51021 ]

[ 0, 250, 8787, 3495, 1011, 625, 14, 115, 1807, 25, 10, 19834, 6, 42, 2125, 1931, 21683, 10, 19448, 8, 8728, 5466, 6, 19, 17878, 9, 1619, 16426, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 2635, 226, 22740, 20889, 6, 24, 1575, 10, 13305, 981, 5, 33301, 6, 2800, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 3459, 8669, 4, 20, 15229, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 10346, 30, 10, 33215, 16739, 9, 274, 6, 1918, 406, 6, 230, 119, 6, 211, 406, 6, 8, 272, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 50796, 55435, 50959, 76518, 50906, 50917, 56363, 50987, 53645, 61026, 53961, 50997, 51058, 57019, 75600, 63959, 50997, 51008, 56415, 50942, 50906, 54424, 50997, 50862, 71910, 51036, 51234, 51359, 78679, 50871, 59292, 50937, 56363, 51109, 53645, 51121, 50906, 52605, 50997, 51377, 57019, 51177, 50906, 55322, 50997, 51267, 56415, 64292, 58705, 50997, 50849, 54662, 51991, 50997, 61566, 51121, 50871, 51110, 55008, 54745, 54108, 54507, 50997, 51008, 54108, 55081, 54108, 50893, 53645, 61419, 53961, 50997, 51058, 57019, 61026, 55040, 50997, 53996, 50899, 67538, 77462, 69766, 52863, 50997, 50829, 54108, 53793, 54108, 50809, 54662, 51486, 50900, 60637, 51194, 50989, 51178, 54108, 50924, 53502, 50810, 54649, 55081, 55008, 51235, 56040, 75762, 68995, 50917, 56014, 50867, 58811, 55782, 54108, 51290, 62335, 50925, 50899, 51110, 50871, 64990, 50997, 54385, 50899, 62465, 63947, 54583, 61335, 58526, 51364, 50899, 57911, 51111, 74650, 54569, 50878, 53645, 65090, 73058, 69766, 54215, 50899, 50862, 54108, 53307, 54108, 52444, 51026, 75427, 51121, 50973, 51121, 54108, 50924, 55989, 50844, 54649, 55932, 55008, 51235, 56415, 51159, 50973, 51159, 71136, 50866, 58699, 53848, 55008, 51235, 53997, 72225, 50942, 50861, 56964, 55099, 50956, 53881, 50956, 69538, 54666, 52605, 51085, 72889, 56524, 51120, 52896, 51197, 51141, 50956, 50925, 50989, 59292, 51100, 61614, 50822, 54108, 57782, 58811, 67702, 77663, 50906, 58298, 50956, 50870, 58916, 53848, 58811, 51048, 54868, 51189, 50997, 65068, 51121, 50906, 55689, 50997, 51058, 53645, 59292, 56632, 50997, 53891, 50621, 51085, 67650, 52434, 50307, 51101, 50989, 65562, 50997, 54185, 50619, 51279, 69796, 58134, 60559, 50915, 61791, 51234, 51991, 50997, 61566, 51121, 50871, 51110, 55008, 54745, 54108, 54507, 50997, 51008, 54108, 55081, 54108, 50893, 53645, 61419, 53961, 50997, 76257, 51727, 50890, 52602, 50836, 51638, 50836, 78994, 51154, 53574, 50871, 61026, 50866, 51727, 56082, 51251, 51103, 51154, 51103, 52602, 52903, 51638, 52903, 66626, 53996, 50899, 67538, 77462, 69766, 52863, 50997, 50829, 54108, 53793, 54108, 50809, 54662, 51486, 50900, 60637, 51194, 50989, 51178, 54108, 50924, 51426, 51103, 51491, 51103, 53502, 50810, 54649, 55081, 55008, 51235, 56040, 75762, 68995, 50917, 56014, 50867, 58811, 55782, 54108, 51290, 62335, 50925, 50899, 51110, 50871, 51110, 51251, 51103, 51154, 64486, 50997, 54385, 50899, 62465, 63947, 54583, 61335, 58526, 51364, 50899, 57911, 51111, 74650, 51602, 51356, 53623, 51103, 51299, 51103, 51251, 51103, 51154, 51103, 54569, 50878, 53645, 65090, 73058, 69766, 54215, 50899, 50862, 54108, 53307, 54108, 52444, 51026, 75427, 51121, 50973, 51121, 51137, 51336, 54108, 50924, 52776, 51103, 52065, 51103, 51251, 51103, 51154, 51103, 55989, 50844, 54649, 55932, 55008, 51235, 56415, 51159, 50973, 51159, 71136, 50866, 58699, 53848, 55008, 51235, 53997, 72225, 50942, 50861, 56964, 50849, 51416, 51291, 52143, 51103, 51638, 51103, 51299, 51103, 51426, 51103, 58097, 53881, 50956, 69538, 54666, 52605, 51085, 72889, 56524, 51120, 50837, 51684, 53614, 51197, 51141, 50956, 50925, 50989, 59292, 51100, 52585, 51127, 52481, 51103, 51299, 51103, 51426, 51103, 51491, 51103, 61614, 50822, 54108, 57782, 58811, 67702, 77663, 50906, 58298, 50956, 50870, 58916, 53848, 58811, 51048, 54868, 51364, 50997, 60042, 57911, 50917, 52371, 51103, 51638, 51103, 51165, 51103, 51154, 51103, 60564, 68543, 50805, 51147, 51111, 63931, 53980, 51026, 51204, 50973, 75210, 51918, 50973, 54185, 50931, 52935, 50861, 51126, 53997, 51167, 50861, 64471, 51060, 74650, 50968, 51111, 55902, 53383, 51378, 50910, 67944, 50876, 51235, 51001, 78265, 50989, 60592, 51050, 73076, 61816, 51157, 51001, 51157, 57428, 51218, 51224, 50383, 52418, 53641, 51224, 64271, 53035, 50876, 71606, 66941, 51289, 66596, 53268, 50902, 50873, 51289, 65636, 50884, 71910, 51541, 51234, 51541, 50997, 53318, 50306, 51505, 50871, 51354, 51727, 51029, 52602, 51307, 51887, 51307, 51251, 51307, 61401, 53576, 50997, 50833, 52714, 50980, 51956, 56759, 70717, 51603, 50871, 51500, 50804, 51392, 53230, 53492, 50952, 51234, 50910, 50997, 50977, 51727, 50936, 51784, 51500, 51471, 56321, 53040, 53492, 51958, 50290, 52530, 50302, 73587, 51235, 50871, 51227, 51727, 51029, 51479, 53239, 50997, 50942, 51900, 51055, 55723, 50997, 79730, 68916, 51286, 52777, 53650, 50997, 50841, 51727, 50858, 52714, 51196, 53026, 54794, 51338, 50890, 58359, 51294, 51120, 51362, 50899, 61623, 51235, 50877, 51238, 51181, 51552, 52371, 51307, 51883, 51307, 51154, 51307, 53358, 53829, 74654, 51842, 53337, 51227, 50871, 71261, 50980, 52777, 53644, 51799, 50830, 51120, 50830, 51181, 51030, 75596, 54649, 53097, 52950, 51799, 51364, 51120, 51343, 50899, 64674, 71261, 51227, 51181, 51761, 54108, 53558, 50898, 53905, 54649, 54811, 60833, 52714, 51160, 55723, 50899, 50940, 50871, 57442, 52420, 50898, 53650, 50899, 50857, 51132, 53097, 51464, 54359, 51137, 50809, 50799, 56539, 51159, 51503, 70156, 51160, 50871, 51175, 50965, 51235, 51602, 51496, 52316, 51103, 51154, 51103, 51093, 51103, 51479, 52432, 52714, 51055, 51842, 53523, 76648, 60781, 50893, 52777, 53644, 51503, 50855, 51602, 50865, 51784, 51566, 51468, 56321, 52600, 55774, 51160, 51214, 51500, 51086, 60757, 51215, 50861, 51175, 51137, 51196, 51699, 51103, 51154, 51103, 51357, 51103, 51479, 53675, 51086, 50810, 51900, 51055, 67615, 51086, 71368, 56135, 50940, 52777, 54450, 51086, 50841, 54649, 51274, 55709, 50829, 53997, 51500, 51026, 65185, 51192, 50956, 51173, 51416, 51552, 52143, 51103, 51426, 51103, 51165, 51103, 51479, 54031, 51026, 50854, 51983, 53523, 75205, 53988, 50898, 54013, 54108, 57647, 51234, 50837, 51085, 50835, 51416, 50840, 75596, 51684, 50809, 55008, 52218, 53219, 51197, 52370, 50304, 50940, 50956, 52370, 50310, 50806, 52585, 50896, 55008, 51167, 52481, 50914, 51299, 50914, 51491, 50914, 64067, 52210, 50900, 54212, 50829, 52612, 52568, 51050, 51566, 51027, 61829, 75522, 51055, 52584, 50924, 51883, 50914, 51154, 50914, 51093, 58307, 55079, 51553, 53268, 50956, 50910, 71000, 51224, 56995, 50622, 62190, 50841, 71910, 51541, 51234, 51541, 50997, 53318, 50306, 51505, 50871, 51354, 51727, 51029, 57117, 51896, 52602, 51307, 51887, 51307, 51251, 51307, 61401, 55927, 53369, 51685, 56363, 50833, 51774, 51031, 52714, 50980, 72274, 51614, 55800, 50997, 70717, 51603, 50871, 51500, 51515, 51463, 51392, 52240, 54562, 53492, 50952, 51234, 50910, 50997, 50977, 51727, 50936, 51784, 51500, 51471, 56321, 53040, 53492, 51958, 50290, 52530, 50302, 73587, 51235, 50871, 51227, 51727, 51029, 51479, 53239, 50997, 50942, 51900, 51055, 55723, 50997, 79730, 68916, 51286, 61680, 54450, 50997, 50841, 51727, 50858, 52714, 51196, 53026, 54794, 51338, 50890, 58359, 51294, 51120, 51362, 50899, 61623, 51235, 50877, 51238, 51181, 51552, 53722, 51469, 52371, 51307, 51883, 51307, 51154, 51307, 53358, 58486, 52806, 51795, 54569, 50833, 51774, 54055, 64546, 51607, 52266, 53337, 51227, 50871, 71261, 50980, 51440, 51941, 61680, 54562, 51799, 50830, 51120, 50830, 51181, 51030, 75596, 54649, 53097, 52950, 51799, 51364, 51120, 51343, 50899, 64674, 71261, 51227, 51181, 51761, 54108, 53558, 50898, 53905, 54649, 54811, 60833, 52714, 51160, 55723, 50899, 50940, 50871, 57442, 52420, 50898 ]

[ 0, 250, 20902, 3495, 2214, 11, 12608, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 8, 10, 1675, 13305, 816, 561, 11, 20299, 4, 590, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 41, 20425, 8, 15352, 30054, 2125, 14, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 20, 1049, 33215, 16739, 10726, 9, 12608, 119, 1176, 406, 6, 12608, 406, 6, 2060, 6, 1614, 757, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 54733, 64965, 52269, 54278, 53282, 50810, 51561, 51025, 51512, 51025, 50430, 55439, 57181, 55951, 52729, 56590, 50866, 53366, 60182, 53559, 51025, 55402, 57554, 51232, 51025, 51308, 58761, 52269, 51109, 55439, 51109, 62871, 64965, 52269, 51025, 52889, 58193, 51144, 51025, 51512, 59102, 52449, 51109, 56590, 61148, 58001, 60182, 52449, 51025, 55951, 57554, 51232, 58761, 52269, 51109, 55439, 51109, 50799, 57279, 64965, 52269, 51025, 53282, 58193, 51561, 51025, 51512, 59102, 53388, 51109, 52449, 61148, 57279, 60182, 52681, 51134, 53395, 69204, 51561, 51025, 50799, 52269, 51115, 54733, 66527, 53564, 51025, 53009, 59290, 53388, 51115, 57279, 57554, 52706, 51025, 52239, 51025, 50799, 52681, 51115, 57279, 58193, 54802, 51025, 53381, 59290, 53388, 51115, 57279, 57554, 52706, 50866, 52239, 50866, 50799, 52269, 50866, 54733, 64965, 53282, 58193, 53009, 51025, 52269, 59102, 52269, 54014, 52889, 51025, 57279, 57554, 52239, 50866, 53388, 50866, 53395, 50866, 53282, 54752, 52269, 51134, 75698, 58193, 53381, 50866, 52681, 53961, 52495, 51109, 53009, 61148, 57279, 60182, 53564, 51134, 53381, 69204, 54733, 61481, 53038, 57450, 51964, 50810, 78323, 64965, 52889, 54278, 53395, 50866, 55439, 53961, 52889, 54014, 53388, 51025, 55439, 51025, 52176, 57554, 53009, 50866, 53388, 50866, 52889, 54752, 53009, 51134, 52269, 51134, 53282, 51134, 79921, 58193, 53009, 51025, 52269, 51025, 52477, 59290, 52239, 50866, 53388, 50866, 51876, 55040, 53009, 51134, 52269, 51134, 52746, 54356, 51964, 54752, 54733, 50866, 50799, 53009, 51134, 53646, 64965, 52889, 54278, 53395, 53961, 53009, 51109, 53282, 61148, 51964, 60182, 53564, 51134, 53009, 51134, 58637, 64965, 52681, 50866, 53559, 50866, 53139, 54278, 52681, 50866, 53559, 50866, 53139, 53961, 52269, 51109, 52889, 51109, 55439, 61148, 51876, 60182, 52889, 54356, 53282, 54752, 53395, 51109, 52889, 51109, 55439, 51109, 78323, 64965, 52889, 54278, 53282, 53961, 53009, 51109, 52269, 51109, 52889, 61148, 51964, 60182, 52269, 54356, 53009, 54752, 53022, 51109, 52681, 51109, 52269, 51109, 58637, 64965, 53022, 51025, 52681, 51025, 52269, 59102, 52495, 51109, 53009, 51109, 52269, 61148, 51876, 60182, 53009, 50866, 52269, 50866, 52889, 54356, 53009, 51025, 52269, 51025, 53282, 51025, 50799, 52495, 50866, 53009, 50866, 53395, 50866, 53646, 64965, 52889, 54278, 52495, 51025, 52681, 51025, 53139, 51025, 52176, 59290, 53009, 50866, 52269, 50866, 55439, 50866, 52746, 60182, 53282, 54356, 52239, 50866, 52269, 50866, 52533, 54752, 52495, 50866, 53009, 50866, 51876, 50866, 50799, 52495, 50866, 53388, 50866, 53646, 55085, 53022, 51025, 52269, 51025, 51964, 59102, 52822, 51109, 52495, 51109, 53009, 51109, 52785, 73779, 52889, 57554, 51876, 58761, 52449, 51115, 55439, 51115, 64955, 58193, 52889, 53961, 53282, 54014, 54802, 50866, 52239, 50866, 52269, 50866, 52746, 60182, 54802, 51025, 53009, 58761, 53564, 51109, 53009, 51109, 52269, 51109, 74421, 64965, 53009, 54278, 53282, 53961, 52248, 51134, 53282, 51134, 52889, 67082, 51876, 57554, 55439, 54752, 52449, 51134, 55439, 51134, 64955, 58193, 52889, 53961, 53282, 54014, 53395, 51025, 55439, 51025, 52746, 57554, 52889, 54752, 52269, 50866, 52889, 50866, 75698, 64965, 52269, 54278, 53282, 50810, 51561, 51025, 51512, 51025, 50430, 55439, 57181, 55951, 52729, 56590, 50866, 53366, 60182, 53559, 51025, 55402, 57554, 51232, 51025, 51308, 58761, 52269, 51109, 55439, 51109, 62871, 64965, 52269, 51025, 52889, 58193, 51144, 51025, 51512, 59102, 52449, 51109, 56590, 61148, 58001, 60182, 52449, 51025, 55951, 57554, 51232, 58761, 52269, 51109, 55439, 51109, 50799, 57279, 64965, 52269, 51025, 53282, 58193, 51561, 51025, 51512, 59102, 53388, 51109, 52449, 61148, 57279, 60182, 52681, 51134, 53395, 69204, 51561, 51025, 50799, 52269, 50866, 54733, 64965, 53282, 58193, 53009, 51025, 52269, 59102, 52269, 54014, 52889, 51025, 57279, 57554, 52239, 50866, 53388, 50866, 53395, 50866, 53282, 54752, 52269, 51134, 75698, 58193, 53381, 50866, 52681, 53961, 52495, 51109, 53009, 61148, 57279, 60182, 53564, 51134, 53381, 69204, 54733, 61481, 53038, 57450, 51964, 50810, 78323, 64965, 52889, 54278, 53395, 50866, 55439, 53961, 52889, 54014, 53388, 51025, 55439, 51025, 52176, 57554, 53009, 50866, 53388, 50866, 52889, 54752, 53009, 51134, 52269, 51134, 53282, 51134, 79921, 58193, 53009, 51025, 52269, 51025, 52477, 59290, 52239, 50866, 53388, 50866, 51876, 55040, 53009, 51134, 52269, 51134, 52746, 54356, 51964, 54752, 54733, 50866, 50799, 53009, 51134, 53646, 64965, 52889, 54278, 53395, 53961, 53009, 51109, 53282, 61148, 51964, 60182, 53564, 51134, 53009, 51134, 58637, 64965, 52681, 50866, 53559, 50866, 53139, 54278, 52681, 50866, 53559, 50866, 53139, 53961, 52269, 51109, 52889, 51109, 55439, 61148, 51876, 60182, 52889, 54356, 53282, 54752, 53395, 51109, 52889, 51109, 55439, 51109, 78323, 64965, 52889, 54278, 53282, 53961, 53009, 51109, 52269, 51109, 52889, 61148, 51964, 60182, 52269, 54356, 53009, 54752, 53022, 51109, 52681, 51109, 52269, 51109, 58637, 64965, 53022, 51025, 52681, 51025, 52269, 59102, 52495, 51109, 53009, 51109, 52269, 61148, 51876, 60182, 53009, 50866, 52269, 50866, 52889, 54356, 53009, 51025, 52269, 51025, 53282, 51025, 50799, 52495, 50866, 53009, 50866, 53395, 50866, 53646, 64965, 52889, 54278, 52495, 51025, 52681, 51025, 53139, 51025, 52176, 59290, 53009, 50866, 52269, 50866, 55439, 50866, 52746, 60182, 53282, 54356, 52239, 50866, 52269, 50866, 52533, 54752, 52495, 50866, 53009, 50866, 51876, 50866, 50799, 52495, 50866, 53388, 50866, 53646, 55085, 53022, 51025, 52269, 51025, 51964, 59102, 52822, 51109, 52495, 51109, 53009, 51109, 52785, 73779, 52889, 57554, 51876, 58761, 52449, 51115, 55439, 51115, 64955, 58193, 52889, 53961, 53282, 54014, 54802, 50866, 52239, 50866, 52269, 50866, 52746, 60182, 54802, 51025, 53009, 58761, 53564, 51109, 53009, 51109, 52269, 51109, 74421, 64965, 53009, 54278, 53282, 53961, 52248, 51134, 53282, 51134, 52889, 67082, 51876, 57554, 55439, 54752, 52449, 51134, 55439, 51134, 64955, 58193, 52889, 53961, 53282, 54014, 53395, 51025, 55439, 51025, 52746, 57554, 52889, 54752, 52269, 51134, 52889, 51134, 74421, 58193, 53009, 50866, 52269, 50866, 54733, 59102, 52239, 51109, 52269, 61148, 53038, 60182, 53381, 51025, 52269, 57554, 51964, 51025, 50799, 53009, 51422, 53395, 51422, 53646, 64965, 52889, 54278, 52889, 58779, 52889, 57181, 52889, 52729, 52889, 50845, 54733, 51025, 50446, 52889, 70172, 52889, 57450, 52889, 50810, 50799, 53388, 51422, 52449, 51422, 53139, 50810, 53366, 51025, 50418, 53139, 59946, 53139, 52654, 53139, 58779, 53139, 57181, 53139, 52729, 53139, 50866, 53366, 60182, 53139, 51134, 50799, 53009, 51115, 52269, 51115, 54733, 58193, 52889, 50813, 52889, 55863, 52889, 52810, 52889, 54014, 52239, 51115, 53388, 51115, 52889, 51025, 53366, 57554, 52889, 54752, 52889, 51452, 50799, 52269, 50866, 54733, 64965, 53388, 54278, 52681, 50866, 57279, 59102, 53388, 54014, 52269, 51115, 54733, 60182, 52889, 58761, 52889, 50866, 50799, 53388, 51115, 53366, 71215, 53139, 54278, 53139, 53961, 53139, 54014, 52269, 51115, 53139, 51025, 52537, 51115, 50456, 53139, 50866, 50799, 53395, 51115, 53139, 51025, 53038, 66527, 53139, 53961, 53139, 61148, 52449, 51134, 52649, 60182, 53139, 54356 ]

[ 0, 250, 15352, 30054, 5175, 8, 3152, 2214, 4246, 13305, 6, 6755, 12547, 6, 3459, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 32909, 6, 2351, 41, 9066, 8, 25306, 5466, 19, 17878, 9, 15073, 8, 11098, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 38451, 3938, 20889, 9, 8403, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 14, 1171, 272, 119, 1176, 406, 6, 83, 73, 387, 6, 272, 73, 250, 6, 8, 83, 73, 534, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50796, 50796, 51382, 51463, 57916, 51456, 65083, 51326, 50817, 56142, 51407, 51706, 51977, 51198, 51933, 51144, 52266, 51119, 51161, 51023, 51446, 53181, 51486, 51881, 53454, 51743, 53454, 51656, 52821, 53128, 51160, 53583, 60368, 55133, 56056, 51696, 50426, 51092, 51056, 52105, 50434, 51061, 51313, 50438, 51193, 51003, 52777, 60604, 51443, 51354, 50446, 51706, 61958, 52568, 51096, 52827, 51706, 52369, 51198, 51585, 51144, 51161, 51119, 51933, 51023, 51692, 53583, 50841, 50799, 51092, 50918, 52261, 66014, 56670, 53128, 50936, 50430, 51096, 51388, 50431, 52372, 60661, 51993, 58396, 51031, 53758, 51407, 51280, 51358, 51232, 51685, 51099, 51896, 52133, 51486, 52033, 51486, 51615, 51422, 52372, 51977, 51320, 53083, 52261, 50799, 52777, 60941, 53128, 66183, 75644, 53128, 53632, 57272, 50964, 51735, 51706, 51073, 51198, 51454, 51144, 51566, 53181, 51127, 51881, 51127, 51743, 51145, 51993, 51343, 53583, 58854, 51304, 59890, 79647, 51931, 56107, 51566, 51706, 51345, 51198, 51290, 51144, 51073, 51690, 50930, 52261, 50442, 51304, 57993, 51384, 52259, 55245, 51096, 51054, 51280, 51427, 51232, 51235, 51099, 51238, 52133, 51013, 52033, 50889, 51615, 50889, 51690, 50880, 51643, 51167, 52777, 59617, 51304, 63027, 65083, 79647, 51993, 68581, 50961, 56142, 51009, 51706, 51933, 51119, 51585, 51198, 51585, 51144, 51933, 51023, 51196, 53181, 51161, 51881, 54300, 51743, 52821, 51656, 52903, 53583, 60368, 56868, 53128, 50948, 50422, 56056, 63492, 51092, 51191, 52105, 50434, 63709, 51061, 51518, 52777, 60604, 51443, 50823, 51193, 51194, 50446, 51069, 58642, 52568, 51096, 51870, 51706, 51941, 51198, 51585, 51144, 51585, 51119, 51585, 51023, 51538, 53128, 51013, 53583, 50841, 50799, 51092, 51103, 54761, 51290, 52261, 50425, 53128, 51896, 50426, 51061, 50995, 52777, 58854, 51096, 55996, 50964, 57642, 51031, 53758, 51407, 51280, 51585, 51232, 51941, 51099, 52266, 52133, 51518, 52033, 51486, 51615, 51692, 51320, 53083, 52261, 50458, 51993, 53662, 51031, 50799, 53128, 51175, 52777, 60161, 50927, 51045, 56056, 52589, 51031, 50425, 54061, 52870, 50964, 51603, 51706, 51238, 51198, 51235, 51144, 51460, 53181, 51103, 51881, 51103, 51743, 51103, 53128, 53579, 51392, 65416, 51993, 51291, 50430, 74909, 53583, 52766, 50964, 51072, 51706, 51160, 51198, 51227, 51144, 51238, 52777, 59673, 50798, 51031, 50449, 51643, 58647, 51096, 51055, 51280, 51175, 51232, 51235, 51099, 51460, 52133, 51013, 52033, 50889, 51615, 50914, 52777, 59617, 51456, 65083, 51993, 50952, 51326, 50961, 56142, 51009, 51198, 51896, 51119, 51896, 51706, 52311, 51144, 52311, 51023, 51285, 53181, 51161, 51881, 52903, 51743, 52903, 51656, 52045, 51304, 53632, 50898, 60368, 56868, 54061, 50841, 53128, 50924, 50418, 51384, 58745, 51690, 50859, 56056, 51356, 50426, 51092, 51204, 51304, 50840, 52261, 50430, 51384, 57307, 51061, 52222, 51690, 54957, 52777, 60604, 51443, 50823, 51193, 51255, 50445, 58196, 70089, 51069, 58642, 56385, 51096, 51009, 51706, 52282, 51198, 51941, 51144, 51896, 51119, 51896, 51023, 51518, 53583, 50841, 50799, 51092, 51183, 54061, 50841, 53128, 51173, 52261, 50422, 56056, 51620, 51061, 52136, 53128, 51167, 52777, 58331, 51096, 51045, 50434, 51205, 51014, 52372, 65110, 51031, 56107, 52311, 51280, 51977, 51144, 51977, 51099, 51585, 52133, 51717, 51743, 51486, 51615, 52337, 52372, 51307, 53583, 53083, 52105, 50799, 52777, 60941, 51280, 51173, 50422, 73634, 51144, 58396, 52630, 51133, 51977, 51280, 51896, 51099, 51941, 51232, 51933, 52033, 51422, 53583, 50841, 51570, 59596, 51633, 56300, 77314, 58323, 65344, 51280, 53393, 51031, 52534, 52311, 51280, 51527, 51144, 51685, 51099, 52282, 51743, 51692, 51320, 50841, 51544, 53116, 52777, 60604, 77375, 51280, 52392, 50446, 51133, 50858, 51099, 52369, 51144, 53238, 56385, 50964, 52266, 51232, 51941, 52033, 51518, 51320, 58323, 51471, 50799, 51441, 51985, 57369, 50798, 50949, 66014, 50820, 53924, 50825, 52594, 50829, 55935, 57320, 50804, 50846, 53357, 51685, 51706, 51585, 51198, 51161, 51144, 51933, 51485, 51407, 53583, 53083, 52105, 50458, 51842, 50799, 55389, 60941, 51431, 51100, 50422, 50945, 50887, 57878, 50945, 52266, 51708, 51941, 51280, 51585, 51144, 51933, 51431, 51454, 53583, 58694, 51898, 51124, 51570, 59673, 51842, 51955, 50898, 52270, 56995, 52334, 53071, 51031, 52354, 52282, 51198, 51285, 51144, 51661, 51706, 52097, 51485, 51066, 51320, 52870, 51485, 51073, 68039, 51280, 51379, 51232, 51603, 51099, 51112, 51485, 50824, 55389, 59673, 50945, 55758, 52936, 51527, 51280, 51472, 51144, 51661, 51119, 51472, 51431, 51196, 53583, 50841, 50799, 52261, 79142, 53516, 51019, 51054, 51280, 51454, 51232, 51454, 51099, 51054, 55389, 51872, 55649, 52334, 77121, 50852, 50895, 53758, 51585, 51708, 51941, 51198, 52266, 51144, 52369, 51485, 51196, 53583, 53083, 52105, 50799, 55389, 60941, 51431, 51173, 50422, 50798, 53087, 51096, 52266, 51706, 51585, 51198, 51941, 51144, 51933, 51485, 51054, 53583, 53116, 51431, 50936, 52261, 51955, 50898, 52270, 52193, 51723, 50818, 52354, 52282, 51708, 52266, 51280, 51941, 51144, 51585, 51431, 51045, 51320, 60941, 51898, 51696, 51544, 58854, 74909, 57974, 55389, 60604, 51153, 70894, 62228, 51275, 57642, 55245, 52936, 51054, 51435, 50896, 51837, 51013, 53583, 50841, 52354, 51527, 51275, 51013, 51435, 51055, 51881, 50995, 51743, 52337, 51863, 51003, 64612, 51153, 51454, 51435, 51566, 52133, 51003, 51656, 50995, 55389, 51872, 76082, 52334, 50940, 51468, 53357, 51977, 51198, 51356, 51144, 52282, 51308, 51977, 51485, 51870, 51881, 51422, 51863, 51692, 53583, 53083, 52105, 50799, 55389, 60941, 51198, 51173, 51431, 50923, 50422, 76976, 51144, 50952, 57451, 52936, 51585, 51119, 52311, 51280, 51472, 51144, 51336, 51431, 51505, 52133, 51662, 51656, 51422, 53583, 58608, 51898, 51362, 51570, 53083, 51280, 51454, 55389, 52270, 57916, 51144, 51215, 50458, 51119, 50858, 52334, 56728, 51031, 52354, 52311, 51198, 51345, 51144, 51285, 51308, 52195, 51485, 51653, 53181, 51183, 51881, 51183, 51743, 51145, 51320, 52870, 51198, 51345, 51485, 51055, 52261, 50430, 51468, 50434, 63423, 51232, 51603, 51099, 51290, 51153, 51227, 51744, 51237, 52133, 51264, 52033, 51003, 51615, 50995, 55389, 59673, 50945, 55620, 52936, 51356, 51280, 51285, 51144, 51551, 51119, 51685, 51509, 51009, 51743, 51422, 51656, 51518, 53583, 50839, 50799, 52105, 79142, 55800, 50945, 51072, 51280, 51566, 55389, 51872, 71373, 51144, 51175, 50434, 51119, 50821, 51431, 63779, 50961, 55208, 52827, 51198, 52195, 51099, 51356, 51308, 51358, 51579, 51483, 51193, 51585, 51881, 51518, 51615, 53082, 51863, 51422, 53583, 53083, 51579, 51496, 52105, 61310, 51290, 55389, 60941, 51099, 72882, 51509, 57257, 66586, 51308, 53238, 53087, 51019, 52266, 51232, 51527, 51099, 51551, 51153, 51472, 52067, 51072, 51092, 51585, 52033, 51518, 51711, 51692, 53583, 53116, 51579, 51483, 52261, 50446, 59056, 51280, 51016, 55389, 52270, 57916, 51144, 73499, 51509, 69312, 51099, 50894, 51579, 52259, 50895, 52354, 51407, 51280, 51285, 51144, 51235, 51119, 52369, 52067, 51237, 52133, 51538, 51743, 53454, 51656, 51692, 51320, 56260, 51023, 65951, 51144, 51551, 51509, 51274, 68039, 51280, 51500, 55389, 53041, 51485, 64201, 51019, 56562, 55245, 50927, 52266, 51198, 51551, 51144, 51551, 51308, 51685, 51509 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 15073, 6, 7630, 14805, 8597, 9, 657, 8, 10, 25306, 5466, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 10, 7212, 20889, 9, 8971, 13410, 228, 2289, 4, 20, 33215, 13931, 9, 211, 6, 3676, 406, 6, 163, 119, 406, 6, 83, 6, 8, 3676, 406, 3639, 5581, 7, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 51026, 57631, 66154, 61471, 54243, 51026, 57631, 66154, 61471, 53912, 50900, 55143, 58835, 66950, 55480, 51086, 52596, 51027, 59460, 58835, 51608, 50322, 50889, 54955, 58654, 58050, 65934, 55385, 51378, 56876, 52483, 50902, 50805, 51315, 57631, 65934, 55112, 51028, 52446, 51120, 59460, 61471, 51608, 50322, 55082, 51027, 59460, 58835, 66950, 50889, 57551, 57631, 66154, 65934, 54243, 50877, 50805, 51378, 59460, 61471, 55112, 50899, 52446, 50877, 67860, 62525, 66154, 55480, 50861, 55082, 51027, 70156, 58835, 55069, 50989, 50805, 57542, 58654, 62525, 51141, 74367, 53502, 52483, 50899, 59460, 55112, 50899, 50808, 50989, 57807, 50900, 52599, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 54955, 57631, 66154, 61471, 54243, 51026, 57631, 66154, 61471, 53912, 50900, 55143, 58835, 66950, 55480, 51086, 52596, 51027, 59460, 58835, 51608, 50322, 50889, 54955, 58654, 58050, 65934, 55385, 51378, 56876, 52483, 50902, 50805, 51315, 57631, 65934, 55112, 51028, 52446, 51120, 59460, 61471, 51608, 50322, 55082, 51027, 59460, 58835, 66950, 50889, 57551, 57631, 66154, 65934, 54243, 50877, 50805, 51378, 59460, 61471, 55112, 50899, 52446, 50877, 67860, 62525, 66154, 55480, 50861, 55082, 51027, 70156, 58835, 55069, 50989, 50805, 57542, 58654, 62525, 51141, 74367, 53502, 52483, 50899, 59460, 55112, 50899, 50808, 50989, 57807, 50900, 52599, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 54955, 51608, 50303, 62525, 57631, 50889, 53337, 50805, 51378, 62525, 59460, 55112, 50877, 53912, 51026, 62525, 66154, 51141, 58365, 55082, 50899, 50805, 51120, 55069, 50900, 62159, 56876, 50805, 57551, 50805, 51086, 68368, 57631, 55385, 51120, 52483, 51085, 68368, 68368, 59460, 53912, 51324, 62930, 68036, 66154, 55082, 50861, 50805, 51315, 65934, 68368, 51141, 50456, 50877, 50805, 57542, 66154, 51608, 50322, 50889, 54569, 52483, 50973, 67860, 66154, 65934, 55112, 50968, 53912, 51378, 59460, 78599, 72758, 50902, 53668, 51028, 52741, 50989, 50805, 51086, 61471, 51077, 72786, 60693, 50805, 56310, 51608, 50322, 59460, 74978, 51279, 71734, 66950, 55112, 50861, 52446, 51120, 68036, 59460, 61471, 55082, 50899, 62159, 59460, 61471, 55069, 50900, 50805, 57542, 55143, 66154, 61471, 55385, 51027, 52483, 51026, 62525, 66154, 65934, 53912, 50899, 50805, 51120, 59460, 51608, 50322, 55480, 50900, 52596, 50861, 67860, 51608, 50303, 61471, 55069, 50877, 50805, 57289, 50805, 51176, 68368, 66154, 51141, 58973, 52483, 51027, 68368, 58835, 55112, 50877, 53912, 51315, 68368, 66154, 55480, 50965, 52596, 50916, 50805, 51378, 59460, 59460, 51141, 71136, 50805, 54955, 62525, 66154, 55385, 50861, 54243, 51027, 70156, 58835, 55112, 50989, 53912, 51086, 50805, 51086, 61471, 51141, 55989, 55143, 55082, 50900, 68368, 55069, 50876, 56876, 50889, 54206, 66154, 62525, 51141, 55902, 54243, 51120, 59460, 55112, 50900, 62159, 52446, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 54955, 51608, 50303, 62525, 57631, 50889, 53337, 50805, 51378, 62525, 59460, 55112, 50877, 53912, 51026, 62525, 66154, 51141, 58365, 55082, 50899, 50805, 51120, 55069, 50900, 62159, 56876, 50805, 57551, 50805, 51086, 68368, 57631, 55385, 51120, 52483, 51085, 68368, 68368, 59460, 53912, 51324, 62930, 68036, 66154, 55082, 50861, 50805, 51315, 65934, 68368, 51141, 50456, 50877, 50805, 57542, 66154, 51608, 50322, 50889, 54569, 52483, 50973, 67860, 66154, 65934, 55112, 50968, 53912, 51378, 59460, 78599, 72758, 50902, 53668, 51028, 52741, 50989, 50805, 51086, 61471, 51077, 72786, 60693, 50805, 56310, 51608, 50322, 59460, 74978, 51279, 71734, 66950, 55112, 50861, 52446, 51120, 68036, 59460, 61471, 55082, 50899, 62159, 59460, 61471, 55069, 50900, 50805, 57542, 55143, 66154, 61471, 55385, 51027, 52483, 51026, 62525, 66154, 65934, 53912, 50899, 50805, 51120, 59460, 51608, 50322, 55480, 50900, 52596, 50861, 67860, 51608, 50303, 61471, 55069, 50877, 50805, 57289, 50805, 51176, 68368, 66154, 51141, 58973, 52483, 51027, 68368, 58835, 55112, 50877, 53912, 51315, 68368, 66154, 55480, 50965, 52596, 50916, 50805, 51378, 59460, 59460, 51141, 71136, 50805, 54955, 62525, 66154, 55385, 50861, 54243, 51027, 70156, 58835, 55112, 50989, 53912, 51086, 50805, 51086, 61471, 51141, 55989, 55143, 55082, 50900, 68368, 55069, 50876, 56876, 50889, 54206, 66154, 62525, 51141, 55902, 54243, 51120, 59460, 55112, 50900, 62159, 52446, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 57542, 62525, 62525, 57631, 50889, 53337, 50805, 51378, 62525, 59460, 55112, 50877, 53912, 51026, 62525, 66154, 51141, 58365, 55082, 50899, 57260, 55069, 50900, 62159, 56876, 50805, 57542, 57260, 55143, 57631, 55385, 51086, 67860, 50889, 53523, 60424, 56876, 55112, 51378, 57260, 56876, 52446, 51026, 62525, 57631, 66154, 55082, 61795, 51086, 58050, 57631, 51141, 50456, 51027, 62530, 50805, 57542, 57260, 58050, 50889, 53502, 60424, 56876, 52483, 50973, 57260, 68036, 61471, 55112, 50877, 52446, 50916, 74830, 57631, 51141, 55989, 62159, 52596, 50900, 68368, 58835, 55069, 50877, 50889, 54206, 66154, 62525, 51141, 55902, 54243, 51120, 59460, 55112, 50900, 62159, 52446, 51026, 51077, 51086, 51077, 50899, 51077, 79721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 13305, 14, 1974, 149, 10, 765, 2214, 11, 211, 538, 4, 20, 6711, 7630, 6568, 10, 25306, 8, 2829, 2933, 5466, 6, 150, 6780, 10, 1472, 9, 26545, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 5, 15229, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 211, 6, 8, 3676, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 54955, 51682, 50299, 51689, 50303, 51682, 50303, 60924, 70978, 60262, 50900, 51100, 50900, 51100, 51315, 51178, 51315, 51110, 50916, 51110, 50916, 51110, 50876, 51110, 63830, 71356, 71356, 50442, 50899, 71415, 70215, 62614, 61420, 62176, 51731, 50303, 50854, 51086, 50854, 67563, 68530, 50443, 51120, 51537, 50294, 60168, 58368, 61097, 51085, 50878, 51085, 50925, 68526, 68526, 70489, 70489, 72251, 65313, 50454, 51315, 50839, 51315, 74296, 67801, 61686, 65335, 68128, 63287, 58693, 50902, 76343, 51238, 51027, 51048, 51027, 51048, 51378, 51807, 50298, 62649, 64815, 74127, 51241, 50989, 51241, 50877, 51191, 50877, 51204, 69341, 56143, 62926, 50434, 50899, 61441, 50800, 62198, 62198, 51026, 50942, 51026, 50925, 51086, 50942, 51086, 50942, 71777, 50973, 50910, 50440, 50899, 68370, 61368, 60924, 66499, 50878, 50973, 69775, 62784, 62784, 67594, 56251, 50447, 69466, 51027, 50897, 70489, 70489, 61084, 63121, 50459, 50899, 64815, 74127, 73450, 60015, 51191, 50877, 51204, 51120, 51134, 51120, 51241, 51027, 51241, 51027, 51191, 59412, 50900, 69179, 62225, 50861, 62053, 57108, 51214, 50844, 51214, 50833, 51120, 50844, 51120, 50810, 51026, 50822, 51026, 50844, 51086, 50854, 51086, 65860, 65758, 50808, 59285, 59285, 57731, 51026, 50942, 51026, 50925, 58882, 64871, 60537, 70427, 51086, 51588, 50303, 60042, 60042, 70155, 70155, 51828, 50330, 52014, 50330, 51919, 50327, 51514, 50327, 52446, 51086, 51178, 51086, 51178, 50899, 51110, 50899, 51110, 68062, 68062, 65338, 50902, 51175, 51026, 51221, 51026, 51124, 50951, 51124, 50951, 51238, 51220, 51255, 51220, 51116, 51146, 51124, 51146, 51235, 50453, 51430, 50839, 51430, 74359, 68382, 59304, 63271, 71914, 69730, 57924, 50916, 61687, 80131, 70455, 63357, 51026, 50942, 51026, 50925, 75818, 75818, 51146, 50897, 51146, 50940, 51086, 52434, 50303, 74134, 73916, 71676, 70155, 52014, 50327, 51514, 50327, 50805, 60212, 75818, 75818, 74242, 50951, 50952, 51026, 52434, 50299, 51588, 50303, 52434, 50303, 74134, 67922, 51828, 50327, 51588, 50327, 62803, 50968, 50910, 74242, 58884, 51062, 50924, 50436, 67594, 56251, 50968, 50925, 51027, 52014, 50301, 52014, 50328, 50917, 50448, 51086, 50897, 51086, 50897, 50951, 52434, 50323, 52098, 50327, 52434, 50327, 52014, 50330, 51588, 50330, 64469, 60358, 50805, 50460, 50876, 58681, 61552, 51177, 50968, 51100, 50951, 51121, 50951, 51111, 50900, 51124, 50900, 51124, 50916, 51255, 50916, 51255, 51062, 51124, 51062, 51238, 51027, 51400, 51027, 51400, 69341, 50951, 51804, 50327, 68821, 51027, 50908, 51027, 74572, 62176, 59304, 77786, 64160, 50899, 61441, 64441, 67922, 51828, 50322, 78809, 66083, 51111, 50999, 51173, 50445, 51220, 57295, 51214, 50829, 51214, 50839, 51026, 51689, 50299, 61930, 63271, 61936, 50808, 74790, 51220, 62474, 62198, 71777, 50973, 50910, 60537, 50902, 69085, 50951, 70789, 50829, 62198, 51026, 50925, 51026, 50897, 75818, 75818, 51086, 51665, 50303, 50866, 55753, 51026, 51682, 50299, 61368, 62947, 74336, 61441, 64441, 64830, 50858, 50973, 50910, 50973, 53244, 51086, 50833, 51086, 53627, 50989, 59353, 51178, 50902, 51110, 50433, 50989, 58800, 56876, 77821, 51178, 51378, 51110, 50899, 51095, 50899, 51095, 55989, 51162, 50899, 51162, 51378, 52019, 50298, 50995, 50449, 71091, 59836, 50968, 51710, 50320, 50936, 50455, 50899, 67679, 51731, 50322, 51828, 50322, 50948, 52177, 51315, 50942, 51315, 50897, 50861, 62111, 77607, 65872, 61552, 51121, 50968, 51111, 50951, 61241, 51016, 50418, 50899, 67504, 55863, 50916, 51100, 50916, 51100, 50902, 51111, 50902, 51158, 51027, 51110, 51027, 51095, 51040, 51178, 51040, 51178, 50877, 51346, 50877, 51112, 79471, 50870, 50956, 54950, 63558, 74104, 50441, 51028, 68270, 61541, 69272, 50940, 71774, 70427, 51114, 50830, 51114, 70089, 50989, 50839, 50989, 64563, 50861, 51204, 50973, 51204, 50973, 51091, 50968, 51191, 50968, 51091, 50453, 51315, 51194, 51315, 51110, 50861, 51191, 51809, 51315, 51581, 50296, 64729, 50861, 65335, 70248, 70459, 73662, 65872, 74083, 61700, 58893, 71091, 59836, 80152, 51028, 50897, 50968, 50925, 50968, 50910, 51027, 66016, 51588, 50305, 52434, 50305, 50977, 50428, 50916, 72075, 68099, 50902, 51191, 50989, 51351, 50877, 51241, 50877, 51191, 50440, 50899, 51377, 50899, 51377, 50902, 51241, 50989, 51134, 51120, 51742, 51120, 51452, 50451, 51027, 51191, 51027, 51191, 54206, 66477, 50859, 50989, 50897, 50989, 50910, 50877, 69272, 50940, 71774, 70427, 78091, 67738, 51828, 50292, 51514, 50292, 69214, 69214, 69474, 69474, 57669, 56876, 55673, 55673, 51936, 50301, 51121, 51027, 51100, 50437, 50900, 68382, 50809, 51085, 50854, 51085, 73614, 73614, 65389, 50916, 50895, 50916, 75715, 75715, 50883, 50968, 50884, 50968, 66219, 50989, 51804, 50310, 51804, 50322, 77101, 68168, 50900, 66174, 50834, 51085, 51682, 50292, 51581, 50301, 51689, 50301, 56132, 51324, 50810, 51086, 50925, 51086, 50925, 74242, 50951, 65022, 64294, 77607, 52098, 50315, 67922, 70459, 50948, 50460, 51324, 50822, 51026, 50854, 51026, 50833, 57731, 50861, 57094, 65872, 51121, 50973, 51100, 79727, 50902, 51060, 78441, 78441, 51086, 51203, 51086, 51203, 50435, 50861, 61368, 68370, 65758, 50808, 79948, 71777, 60537, 70427, 50436, 51086, 50854, 51086, 56888, 50916, 51351, 50916, 51351, 50902, 51091, 50902, 51294, 51027, 51241, 51027, 51241, 50861, 51189, 50861, 51189, 57289, 64422, 52628, 50989, 73446, 73797, 65090, 69817, 75818, 50899, 55640, 66638, 57213, 50431, 50861, 51100, 50861, 51100, 50973, 51400, 50973, 51377, 50899, 51413, 50899, 51413, 50432, 51086, 51741, 50303, 69836, 51134, 51026, 51351, 50443, 50861, 64294, 50865, 50448, 51086, 51514, 50303, 50901, 50454, 51026, 74540, 62053, 50940, 76326, 52177, 51315, 51043, 51315, 51194, 50900, 51194, 50900, 51194, 50916, 51095, 50916, 51095, 63830, 50876, 51215, 70176, 70176, 50431, 50899, 74336, 62947, 60924, 51689, 50294, 50844, 51120, 50810, 51086, 50854, 51086, 50854, 57213, 71094, 75651, 50973, 72538, 51085, 50854, 51085, 50812, 61097, 50968, 72528, 50897, 50900, 50897, 80143, 80143, 58537, 58537, 50442, 51315, 50820, 51315, 71809, 74296, 61508, 62053, 63835, 63835, 59248, 50902, 51112, 50902, 51227, 51378, 51800, 50298, 62525, 62525, 68036, 51241, 50989, 51241, 50877, 51191, 50877, 51204, 51809, 50876, 61816, 50948, 50422, 51026, 50812, 51026, 65758, 65758, 50808, 62198, 57031, 50973, 50910, 50973, 68821, 50899, 67232, 73046, 52434, 50315, 74957, 51026, 51682, 50299, 61368, 69937, 53263, 50900, 64774, 73614, 50897, 51027, 50910, 80143, 80143, 50861, 65022, 50952, 67594, 67908, 50447, 51027, 51056, 51027, 51159, 51120, 51619, 50294, 73450, 73450, 64763, 64763, 60598, 51241, 50877, 51191, 50460, 51378, 50828, 51378, 50846, 52478, 50861, 62947, 65469, 51214, 51689, 50299, 77184, 51682, 50303, 51682, 50303, 66229, 66675, 59244, 61368, 67161, 51214, 51537, 50294, 51682, 50294, 60734, 50899, 61441, 67027, 50925, 51026, 50897, 63121, 66088, 51086, 52098, 50303, 52098, 50315, 52098, 50315, 67922, 70459, 50924, 56020, 50973, 51204, 50423, 50899, 64815, 51800, 50303, 51351, 51086, 51351, 51026, 51351, 51026, 51241, 50861, 51204, 50861, 51091, 50973, 51191, 50902, 78776, 51343, 50440, 50861, 60924, 59397, 50916, 71809, 73619, 64774, 50812, 66634, 56251, 50968, 50925, 50968, 69352, 50899, 66675, 59244, 50812 ]

[ 0, 250, 20902, 3495, 2214, 11, 163, 3694, 6, 17407, 30, 63, 14899, 8, 15352, 30054, 2574, 4, 20, 21979, 9590, 6, 13305, 6, 23338, 33518, 1264, 6, 8, 21072, 283, 561, 7, 1045, 41, 20425, 8, 17627, 17274, 5466, 4, 590, 10, 1769, 20889, 9, 19641, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 163, 119, 6, 272, 6, 83, 406, 6, 163, 119, 6, 8, 272, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 56098, 50975, 51479, 60486, 58487, 52721, 51009, 50416, 53399, 51009, 51039, 59891, 51086, 50897, 70489, 63121, 61640, 53855, 52659, 51505, 51479, 71586, 51086, 50833, 64001, 50861, 53627, 65862, 53116, 51493, 51388, 51479, 60032, 51086, 50942, 74656, 64871, 52721, 50824, 50440, 53399, 51059, 51180, 54926, 50801, 63865, 51086, 58628, 73045, 52843, 51479, 60376, 52659, 51505, 52721, 51090, 50452, 53399, 75487, 51086, 67885, 61368, 62421, 76182, 57542, 51675, 50916, 51675, 50861, 51675, 51479, 58842, 51493, 51505, 51971, 51237, 50416, 56185, 51059, 51039, 54477, 50801, 53855, 51479, 60760, 52659, 51505, 51971, 51009, 50428, 56185, 61222, 55389, 53116, 51479, 60032, 51493, 51483, 50441, 50903, 72796, 54926, 50903, 53083, 51086, 50878, 61412, 58882, 51479, 60376, 52659, 50802, 51971, 50824, 50452, 56185, 75487, 50903, 53671, 50825, 53788, 51460, 51479, 58842, 51971, 51009, 50416, 56185, 51009, 53502, 50942, 74656, 64871, 52261, 61640, 53855, 51479, 60760, 51098, 67270, 60906, 61022, 50861, 52739, 65862, 53116, 51150, 52035, 50304, 51218, 50916, 78043, 51218, 51479, 60032, 51971, 50824, 50440, 56185, 51059, 51180, 54926, 51150, 55572, 53533, 51984, 52750, 50898, 60376, 51760, 51013, 50452, 53727, 75487, 65862, 58965, 52078, 50811, 53458, 51460, 51479, 58842, 51760, 51009, 50416, 53727, 57214, 51086, 59537, 57348, 50845, 52261, 61640, 53855, 51479, 60760, 51389, 60493, 51086, 50844, 69308, 50861, 59904, 51139, 53116, 51098, 52035, 50303, 51162, 50899, 51162, 50861, 51162, 51479, 50961, 51180, 54926, 51098, 55572, 53533, 51668, 50811, 51086, 79449, 65327, 50977, 51479, 54450, 50903, 53671, 57077, 51389, 50811, 53458, 50993, 51479, 77845, 59891, 50899, 50854, 61700, 50973, 55797, 50801, 53855, 51479, 60760, 51273, 50975, 58296, 50810, 56437, 50973, 58713, 51139, 53116, 51098, 50975, 51479, 55186, 74654, 58893, 68530, 52261, 60350, 53533, 51273, 50975, 51479, 54450, 50899, 62614, 66272, 56651, 76182, 53458, 51388, 51479, 56051, 50902, 62271, 50857, 76931, 50968, 54715, 53855, 51273, 50824, 51479, 58288, 50902, 54216, 50973, 56651, 51139, 53116, 51098, 56893, 53243, 50898, 60464, 50903, 72796, 54926, 51098, 56658, 53083, 51668, 67587, 62111, 77607, 50865, 51479, 54450, 65862, 58965, 51389, 50803, 56098, 50993, 51479, 56051, 51086, 50942, 74656, 64871, 52261, 61640, 53855, 51098, 50823, 51479, 54562, 51086, 50833, 64001, 50861, 67055, 51139, 59076, 51668, 52057, 50989, 51189, 50973, 51189, 51001, 51189, 51479, 60032, 51668, 50975, 51180, 54926, 50801, 53533, 51479, 60376, 51668, 58954, 50903, 53671, 57077, 52721, 69317, 53399, 50975, 56098, 51603, 51479, 58842, 52721, 50824, 50416, 53399, 64146, 51086, 61432, 57348, 50845, 52261, 61640, 53855, 51479, 60760, 51668, 50993, 52721, 50824, 50428, 53399, 68025, 51086, 50844, 65200, 50861, 59904, 51139, 53116, 51493, 50975, 51086, 51162, 50916, 51162, 50861, 51162, 51479, 60032, 52721, 50824, 50440, 53399, 51059, 51180, 54926, 50903, 53083, 51098, 50950, 51086, 52434, 50308, 65327, 50977, 51479, 60376, 52721, 51016, 50452, 53399, 75487, 65862, 58965, 51705, 50803, 56098, 51066, 51479, 58842, 51971, 51009, 50416, 56185, 57214, 51086, 50833, 64001, 58893, 52261, 61640, 53855, 51479, 60760, 51668, 51483, 50432, 51086, 50822, 63077, 50861, 61319, 51139, 53116, 51493, 51354, 51479, 55186, 51086, 58628, 73045, 51373, 54926, 50801, 53533, 51479, 60376, 51668, 51012, 51971, 50824, 50452, 56185, 75487, 51086, 58628, 73045, 58713, 76182, 53788, 50975, 51479, 58842, 51992, 51009, 50416, 58605, 51009, 51402, 53403, 62784, 64001, 58893, 52261, 61640, 53855, 52078, 50975, 51479, 50961, 72764, 50900, 50822, 63077, 50861, 61319, 51139, 53116, 51479, 60032, 51150, 50976, 51992, 50824, 50440, 58605, 51059, 51572, 53239, 50900, 58628, 73045, 54803, 53552, 53595, 50801, 56721, 52078, 50802, 51992, 50896, 50452, 58605, 51059, 51647, 52920, 50900, 58628, 73045, 58713, 50898, 54814, 71973, 53458, 50993, 51479, 58842, 51760, 51009, 50416, 53727, 51009, 51402, 63223, 59891, 51086, 65860, 69538, 55797, 50801, 53855, 51273, 51653, 51479, 50961, 72764, 65862, 59076, 51086, 64912, 50833, 50861, 53415, 51479, 60032, 51098, 50993, 51572, 58953, 51086, 50878, 60833, 58882, 50447, 53552, 53595, 50801, 56721, 51273, 51505, 51647, 52920, 51086, 50822, 60501, 50861, 61319, 50898, 54814, 71973, 53458, 51354, 51479, 56051, 51086, 50878, 60833, 58882, 52261, 61640, 53855, 51479, 60760, 51273, 75123, 51086, 50878, 60833, 58882, 55389, 53116, 51479, 60032, 51098, 62186, 51086, 50844, 69308, 60569, 52261, 50447, 50903, 53083, 51479, 60376, 51273, 63695, 51086, 69662, 61381, 62156, 76182, 53458, 50993, 51479, 50961, 54569, 50854, 61700, 67563, 52261, 61640, 53855, 51273, 51653, 51479, 54562, 50899, 62614, 66272, 56651, 51139, 53116, 51479, 60032, 51098, 50993, 51180, 60372, 74654, 58893, 50973, 55590, 50903, 53083, 51479, 60376, 51273, 51505, 71136, 50833, 58893, 50973, 67055, 76182, 53458, 51354, 51479, 75179, 53403, 74654, 58893, 68530, 52261, 61640, 53855, 51479, 60760, 51273, 51354, 50429, 50899, 50812, 59285, 50973, 51420, 53575, 65862, 53116, 50899, 51775, 50861, 51775, 50973, 51775, 51479, 60032, 51098, 50993, 51572, 55354, 53552, 53595, 50801, 56721, 51273, 51014, 51647, 52920, 50899, 59244, 66365, 58972, 50898, 54814, 71973, 54079, 50975, 51479, 77845, 59891, 75818, 50989, 65840, 50897, 61640, 53855, 52419, 51505, 51479, 60760, 51760, 50976, 50428, 53727, 74512, 74654, 70947, 50877, 53627, 65862, 59076, 51760, 72371, 53727, 60363, 51273, 51388, 51479, 60032, 70537, 69874, 64940, 51760, 50824, 50440, 53727, 51059, 51180, 54926, 50903, 61762, 70798, 59289, 50877, 52843, 51479, 60376, 52419, 51505, 51760, 50824, 50452, 53727, 51059, 71136, 72389, 62391, 62421, 76182, 54206, 51675, 50989, 51675, 50877, 51675, 51479, 58842, 51273, 51505, 51760, 51009, 50416, 53727, 51009, 51039, 54477, 50801, 53855, 51479, 60760, 52419, 51505, 50432, 65862, 53116, 51479, 60032, 51273, 51483, 51971, 50824, 50440, 56185, 51059, 53012, 70041, 54926, 66502, 52846, 60833, 68532, 57634, 51479, 60376, 52419, 50802, 52678, 50896, 50452, 59916, 51059, 56871, 54147, 50825, 53788, 50975, 51479, 58842, 51992, 51029, 50416, 58605, 51300, 53502, 50833, 64001, 58893, 52261, 61640, 53855, 52078, 50975, 51479, 54562, 50900, 50822, 63077, 50861, 61319, 51139, 59076, 51992, 72371, 58605, 60363, 51479, 60032, 51150, 50976, 51992, 51237, 50440, 58605, 51059, 55513, 58628, 73045, 51373, 54926, 50801, 53533, 51479, 60376, 52078, 50802, 51992, 50824, 50452, 58605, 51059, 72407, 58628, 73045, 58713, 53671, 50825, 53458, 51603, 51479, 58842, 51971, 51111, 50416, 56185, 50975, 54569, 50942, 64871, 75651, 52261, 50421, 51760, 51029, 50422, 53727, 51300, 61640, 53855, 51479, 60760, 51273, 67270, 61335, 58219, 50973, 52739, 65862, 53116, 51098, 50975, 50899, 78043, 51218, 50973, 51218, 51479, 50961, 51180, 54926, 50801, 53533, 51705, 55572, 50898, 54450, 65862, 58965, 52659, 50803, 54079, 51066, 51479, 50961, 54569, 50833, 70947, 59755, 52261, 61640, 53855, 51479, 60760, 51216, 51483, 58296, 68897, 59035, 61319, 51139, 59076, 52213, 72371, 52235, 60363, 51273, 51354, 51479, 60032, 51760, 50824, 50440, 53727, 51059, 55989, 50810, 59289, 50877, 51373, 54926, 50801, 53533, 51479 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 13305, 6, 3459, 9590, 6, 23338, 33518, 1264, 6, 5730, 2342, 4467, 6, 8, 3459, 8669, 4, 20, 33301, 16, 278, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 274, 10431, 119, 8, 163, 119, 16, 5705, 6636, 1328, 5, 2214, 6, 8216, 7, 63, 17627, 17274, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 69935, 50948, 51232, 50952, 51099, 50942, 51429, 50925, 55906, 51021, 51019, 51014, 52358, 52432, 73264, 77223, 51780, 50813, 57963, 50849, 52358, 53423, 51545, 53383, 51350, 50891, 51250, 50835, 51780, 50835, 55076, 53888, 51044, 54013, 51350, 50908, 51250, 50886, 51780, 53670, 52533, 50936, 51232, 50924, 79091, 51429, 50910, 51545, 50825, 55906, 51173, 51019, 53235, 51044, 53593, 51350, 50828, 51250, 50855, 51780, 53813, 57963, 55325, 53905, 58001, 50800, 51545, 52616, 55076, 50892, 52358, 53641, 58001, 50890, 51350, 63589, 55906, 50910, 54161, 53545, 58001, 50890, 51545, 54038, 52533, 50894, 51350, 50809, 61186, 55417, 53902, 51133, 50855, 50799, 52649, 50910, 51494, 50917, 51429, 50830, 51275, 50910, 57963, 50897, 51415, 51014, 52358, 52432, 53180, 50813, 55076, 51033, 52358, 53423, 51195, 52992, 51659, 50910, 51780, 50952, 56318, 50901, 54161, 52209, 52649, 50936, 51494, 50910, 51429, 50830, 51275, 50924, 74900, 57963, 50806, 51415, 53056, 51044, 53593, 51659, 50895, 51780, 53813, 55076, 54068, 52210, 52649, 51379, 74900, 56318, 50974, 52358, 53641, 51659, 51121, 52646, 54105, 57963, 50823, 52657, 54172, 51044, 53545, 51494, 50938, 51429, 50938, 51275, 50865, 56296, 54663, 51659, 50836, 61186, 55589, 53902, 52646, 50840, 69935, 50897, 52040, 50866, 51232, 50910, 79091, 51429, 50917, 51726, 50830, 55906, 50977, 78138, 52358, 52432, 72708, 77483, 57963, 50952, 52358, 52437, 51350, 50873, 55076, 50923, 54161, 52209, 51489, 50910, 51516, 50910, 52461, 50897, 51545, 50855, 55906, 50893, 51019, 53235, 51044, 52565, 66098, 51250, 50808, 57963, 52808, 52210, 52533, 51030, 55076, 50901, 52358, 53641, 51350, 65504, 51232, 50937, 51099, 50938, 51429, 50849, 55906, 50878, 54161, 53545, 51726, 52955, 51350, 50809, 61186, 55417, 50818, 50799, 52649, 50924, 51494, 50952, 51429, 50952, 51275, 50952, 53180, 50830, 57963, 51045, 51415, 51021, 52358, 52432, 51659, 50890, 51780, 50887, 55076, 50917, 52358, 52437, 51659, 50873, 56318, 50924, 54161, 52209, 52649, 50940, 51494, 50910, 51429, 50910, 51275, 50910, 67250, 57963, 50938, 51415, 54168, 51044, 52565, 51659, 50836, 51780, 50808, 55076, 57837, 52210, 56318, 50873, 52358, 53641, 51659, 65504, 57963, 50940, 54161, 53545, 51494, 50948, 51429, 50924, 51275, 50948, 53180, 50812, 51213, 56838, 51659, 50809, 61186, 51033, 51011, 52189, 50818, 69935, 50948, 51232, 50952, 51099, 50942, 51429, 50925, 55906, 50849, 51019, 51014, 51301, 52369, 51266, 51352, 52358, 52432, 66098, 77223, 57963, 50897, 52358, 52437, 55076, 52918, 51044, 54013, 51350, 52953, 52533, 50936, 51232, 50924, 79091, 51429, 50910, 55906, 50879, 51019, 53235, 51044, 53593, 51545, 52766, 51350, 50857, 51250, 50822, 57963, 57837, 53905, 58001, 51820, 76365, 55076, 50917, 52358, 53641, 58001, 50890, 51350, 65223, 55906, 50955, 51600, 50802, 51491, 51328, 54161, 53545, 58001, 54663, 52533, 50894, 66098, 61186, 50940, 51088, 51060, 51182, 66363, 53902, 51133, 50855, 50799, 52649, 50948, 51494, 50952, 51429, 50942, 51275, 50925, 57963, 50860, 51415, 51021, 51491, 53174, 51600, 51352, 52358, 52432, 53180, 50813, 55076, 50866, 52358, 53423, 51195, 52992, 51659, 50910, 51780, 50952, 56318, 53543, 51044, 52209, 52649, 50936, 51494, 50924, 51429, 50830, 51275, 50910, 74900, 57963, 51012, 51415, 54168, 51044, 53593, 51659, 50895, 51780, 53813, 55076, 54068, 53905, 52649, 51820, 74900, 56318, 50977, 52358, 53641, 52649, 50890, 51659, 64860, 57963, 50823, 51088, 50911, 51182, 50923, 54161, 53545, 52649, 50890, 51213, 56838, 52649, 50894, 51659, 50836, 61186, 75159, 50859, 51113, 51158, 51284, 62003, 50818, 69935, 50897, 51232, 50952, 79091, 51429, 50830, 51726, 50830, 55906, 50940, 58337, 51088, 51407, 51182, 51407, 52358, 52432, 72708, 77483, 57963, 50940, 52358, 52437, 51350, 50873, 55076, 50893, 54161, 52209, 52533, 50924, 51232, 50952, 51099, 50952, 51429, 50865, 51545, 50855, 55906, 50805, 51019, 51014, 52358, 52565, 66098, 51250, 50808, 57963, 54042, 52210, 55076, 50901, 51600, 50802, 51491, 51111, 52358, 53641, 51350, 65504, 55906, 50942, 51088, 50805, 51182, 50923, 54161, 53545, 51726, 52955, 51350, 50809, 61186, 50890, 51113, 51432, 51284, 51331, 53902, 54387, 50809, 50799, 52649, 50910, 51561, 50917, 79408, 51429, 50910, 52652, 50811, 53990, 50811, 55320, 50811, 58749, 51010, 51415, 50948, 51357, 53241, 51558, 51795, 52358, 52432, 52652, 50811, 53990, 50817, 55320, 50811, 58749, 51670, 51044, 52437, 52652, 50817, 55320, 50811, 53990, 50811, 58749, 52279, 51044, 52209, 52649, 50936, 51561, 50910, 79408, 51429, 50924, 52652, 50817, 53990, 50811, 55320, 50811, 58749, 50811, 51415, 59872, 60079, 51570, 52210, 52649, 51379, 63536, 52612, 57868, 52235, 54411, 53016, 50811, 53399, 51194, 51553, 53545, 51561, 50938, 51119, 50938, 51429, 50865, 51224, 52349, 51289, 50818, 50799, 53399, 51059, 52533, 50948, 51232, 50952, 51099, 50942, 51429, 50925, 51019, 51014, 52358, 52432, 65507, 65591, 52209, 51971, 50803, 52533, 50936, 51232, 50924, 79091, 51429, 50910, 51019, 53235, 51044, 52565, 51992, 51805, 53905, 58001, 51820, 51992, 50976, 52358, 53641, 58001, 50890, 51382, 51044, 53545, 58001, 54663, 52235, 50811, 52533, 51739, 53902, 51133, 59700, 53016, 50817, 50799, 53399, 51407, 52649, 50948, 51494, 50952, 51429, 50942, 51275, 50925, 51415, 52090, 51044, 52432, 52358, 52437, 54615, 56106, 51044, 54013, 53918, 52739, 52649, 50936, 51494, 50924, 51429, 50830, 51275, 50910, 51415, 51014, 54615, 53197, 51044, 53593, 53036, 56983, 52817, 51805, 53905, 52649, 51820, 53036, 51670, 51044, 53641, 52649, 54755, 53399, 50975, 54375, 52279, 55280, 50452, 52817, 58639, 52649, 50890, 54375, 53650, 52649, 50894, 53200, 51331, 53902, 51205, 57747, 56447, 51031, 50799, 56185, 51029, 52533, 50942, 52040, 50858, 51232, 50858, 51099, 50858, 78138, 53719, 51029, 52358, 52432, 65507, 65591, 52209, 53399, 50930, 52533, 50942, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 52358, 52565, 51992, 54589, 52210, 51971, 51599, 55280, 51382, 51044, 53545, 52678, 53875, 51992, 52217, 53902, 52678, 50879, 76139, 52827, 52533, 50854, 52040, 50800, 51232, 50800, 51099, 62416, 51014, 52358, 52432, 52358, 52437, 53719, 54078, 51044, 54013, 52817, 52749, 52533, 50854, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 54375, 53835, 51044, 53593, 53719, 54362, 54375, 51331, 53905, 50953, 54247, 51280, 50910, 51232, 50910, 51119, 50910, 52817, 50923, 52358, 53641, 51011, 62955, 53016, 52568, 53399, 50993, 54375, 50924, 54161, 53545, 52040, 50921, 51232, 50921, 51099, 50921, 51415, 54663, 51205, 50962, 53719, 55589, 56904, 53527, 50817, 50799, 56185, 51573, 52533, 50942, 52040, 50858, 51232, 50858, 51099, 50858, 78138, 54615, 51352, 52358, 52432, 65507, 65591, 52209, 53399, 50893, 52533, 50942, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 52358, 52565, 51992, 55188, 52210, 51971, 50975, 65507, 51382, 51044, 52349, 52678, 52304, 56904, 51971, 50949, 50799, 52678, 50993, 52533, 50854, 52040, 50800, 51232, 50800, 51099, 62416, 51014, 52358, 52432, 52358, 52437, 53399, 51059, 54615, 56106, 51044, 54013, 53918, 52749, 52533, 50854, 52040, 50952, 51232, 50952, 51099, 50952, 51019, 51014, 54615, 53835, 51044, 53593, 53036, 55467, 52817, 51052, 53905, 50953, 54247 ]

[ 0, 250, 32076, 8, 33558, 3495, 2214, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 17605, 9590, 6, 3741, 27374, 594, 6, 8, 10170, 1499, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 7212, 20889, 9, 14512, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 11509, 12049, 9, 657, 8, 7125, 149, 63, 17627, 17274, 34879, 8, 4798, 17130, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 57333, 50420, 50688, 50313, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 52870, 63018, 59953, 50688, 50308, 50862, 50688, 50313, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 54606, 50688, 50317, 71916, 50313, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50313, 54735, 50688, 50308, 56069, 63018, 51189, 50688, 50308, 51189, 50688, 50313, 51189, 50688, 50317, 51189, 50799, 50688, 50308, 50864, 50688, 50313, 51254, 50688, 50317, 51254, 50417, 50688, 50308, 52761, 50688, 50313, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 52870, 63018, 59953, 50688, 50308, 50862, 50688, 50313, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 54606, 50688, 50317, 71916, 50313, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50313, 54735, 50688, 50308, 56069, 63018, 51189, 50688, 50308, 51189, 50688, 50313, 51189, 50688, 50317, 51189, 50449, 55625, 50889, 50461, 52540, 51867, 50300, 77006, 55501, 51376, 50992, 65226, 51166, 50799, 55625, 51112, 50419, 51396, 51043, 50420, 50688, 50312, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 72248, 59243, 69614, 51424, 50293, 51242, 50868, 53172, 63018, 50836, 51017, 76153, 66852, 50844, 53242, 51145, 52393, 51145, 51908, 51047, 50427, 50688, 50308, 50862, 50688, 50312, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 50834, 51396, 69751, 51424, 50293, 61942, 55501, 78159, 58926, 50688, 50317, 71916, 50312, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50312, 50828, 52540, 50829, 51396, 50857, 51017, 76153, 55262, 50688, 50308, 50971, 51125, 50867, 50992, 63954, 50868, 50857, 51017, 50828, 52540, 51753, 51396, 60362, 51396, 69751, 59243, 69614, 53969, 63018, 51189, 50688, 50308, 51189, 50688, 50312, 51189, 50688, 50317, 51189, 50868, 55125, 53195, 50938, 51396, 50867, 52540, 71086, 76153, 59713, 55493, 51226, 50456, 51017, 51424, 50293, 64232, 69614, 68876, 60046, 50917, 70128, 51058, 51042, 50917, 51791, 50932, 58661, 50420, 50688, 50310, 50857, 50688, 50315, 50857, 50688, 50303, 60038, 50306, 50841, 51042, 72024, 57898, 50917, 68352, 50421, 51506, 54335, 50688, 50303, 50836, 51042, 75808, 72913, 50863, 51666, 51145, 52939, 51145, 52330, 51148, 50427, 50688, 50306, 50862, 50688, 50310, 60038, 50315, 59225, 50688, 50303, 50912, 50688, 50306, 53670, 50688, 50306, 74713, 51424, 50291, 51058, 80232, 77073, 51058, 50935, 58926, 50688, 50315, 71916, 50310, 60038, 50306, 50864, 50688, 50303, 53980, 50688, 50303, 50863, 50688, 50306, 50820, 50688, 50310, 80025, 65535, 50886, 51791, 64624, 56432, 50688, 50306, 50971, 50935, 66275, 59823, 74713, 63954, 51506, 50863, 51791, 62971, 51042, 77073, 51501, 50291, 61235, 57898, 56611, 55945, 50688, 50303, 51189, 50688, 50306, 51189, 50688, 50310, 51189, 50688, 50315, 69830, 51506, 50864, 51042, 50862, 58816, 51791, 50825, 66697, 50935, 51000, 50455, 54182, 54752, 51042, 57898, 77073, 60308, 50987, 51791, 59925, 50937, 50461, 55625, 51030, 63649, 50978, 52540, 51199, 51396, 51174, 50420, 50688, 50317, 50857, 50688, 50322, 50857, 50688, 50308, 60038, 50312, 50841, 51396, 50987, 51017, 63879, 50897, 73368, 51125, 50897, 50425, 55625, 54919, 50688, 50308, 50836, 51908, 51148, 52393, 51148, 53242, 51145, 50427, 50688, 50312, 50862, 50688, 50317, 60038, 50322, 59225, 50688, 50308, 50912, 50688, 50312, 62000, 55625, 50809, 51017, 66440, 50688, 50312, 50834, 52540, 51212, 51396, 51242, 50868, 59243, 69614, 58926, 50688, 50322, 71916, 50317, 60038, 50312, 50864, 50688, 50308, 61360, 55625, 54993, 50688, 50308, 50863, 50688, 50312, 50820, 50688, 50317, 54735, 50688, 50312, 50971, 51125, 69638, 59108, 50857, 51017, 60604, 51396, 65672, 52540, 51867, 50300, 67493, 55501, 51100, 50992, 69614, 53969, 50688, 50308, 51189, 50688, 50312, 51189, 50688, 50317, 51189, 50688, 50322, 51189, 50449, 55625, 50977, 52540, 50857, 51396, 50857, 51017, 76153, 50862, 51125, 61021, 55493, 50967, 51017, 51100, 52540, 51867, 50300, 57371, 59243, 69614, 50849, 70128, 51006, 51791, 52011, 51042, 50917, 59082, 50420, 50688, 50315, 50857, 65698, 50857, 50688, 50303, 60038, 50310, 50841, 51506, 51212, 51042, 57618, 57898, 56611, 54278, 50688, 50303, 62552, 74361, 50834, 51666, 51145, 52330, 51148, 52939, 51148, 50427, 50688, 50310, 50862, 50688, 50315, 60038, 50318, 59225, 50688, 50303, 50912, 50688, 50310, 53670, 50688, 50310, 74713, 57618, 57898, 51100, 51506, 51242, 60893, 51791, 69783, 65698, 71916, 50315, 60038, 50310, 50864, 50688, 50303, 53980, 50688, 50303, 50863, 50688, 50310, 50820, 50688, 50315, 62078, 50935, 58430, 51534, 50441, 50688, 50310, 50971, 51042, 50836, 58816, 51506, 63938, 51042, 77073, 50987, 50935, 51110, 51791, 51058, 50848, 55945, 50688, 50303, 51189, 50688, 50310, 51189, 50688, 50315, 51189, 65698, 51189, 50449, 54182, 50952, 51506, 50857, 51042, 50836, 51791, 50867, 50944, 61192, 55493, 75087, 51506, 73019, 57898, 57618, 51424, 50291, 51006, 67102, 50460, 55625, 51388, 50799, 52540, 51058, 51506, 77006, 61195, 50688, 50317, 50857, 50688, 50322, 50857, 50688, 50310, 60038, 50313, 50841, 51506, 67493, 50917, 50944, 50917, 52540, 57349, 50917, 51125, 78868, 50944, 52870, 50688, 50310, 58243, 50836, 77770, 52939, 51145, 52393, 51148, 52368, 51145, 50427, 50688, 50313, 50862, 50688, 50317, 60038, 50322, 67161, 51125, 51862, 50430, 50688, 50310, 50912, 50688, 50313, 53670, 50688, 50313, 50834, 51506, 67493, 51424, 50293, 67921, 55792, 69614, 58926, 50688, 50322, 71916, 50317, 60038, 50313, 50864, 50688, 50310, 53980, 50688, 50310, 50863, 50688, 50313, 50820, 50688, 50317, 65535, 62703, 55788, 50688, 50313, 50971, 51125, 56709, 68015, 50862, 51017, 51110, 51506, 59144, 52540, 62971, 50944, 53969, 50688, 50310, 51189, 50688, 50313, 51189, 50688, 50317, 51189, 50688, 50322, 51189, 52540, 51058, 51506, 50978, 50850, 69614, 72360, 54825, 51021, 51017, 50836, 52540, 50829, 51506, 68058, 54208, 51125, 50886, 50850, 61081, 51125, 51022, 50455, 53195, 51158, 51017, 57898, 77073, 51501, 50293, 57349, 69614, 51100, 63649, 51523, 50293, 51766, 50300, 51254, 50868, 76813, 50688, 50312, 50857, 50688, 50317, 50857, 63018, 60038, 50308, 50841, 51396, 67493, 51424, 50293, 51058, 50992, 55501, 66131, 63963, 63018, 50836, 51017, 68565, 51126, 52393, 51148, 51908, 51145, 53242, 51145, 50427, 50688, 50308, 50862, 50688, 50312, 60038, 50317, 59225, 63018, 50912, 50688, 50308, 53670, 50688, 50308, 50834, 52540, 51766, 50300, 69751, 51110, 50868, 59243, 69614, 58926, 50688, 50317, 71916, 50312, 60038, 50308, 50864, 63018, 53980, 63018, 50863, 50688, 50308, 50820, 50688, 50312, 50828, 52540, 50864, 51396, 51000, 50868, 50863, 50992, 66090, 51125, 56755, 50688, 50308, 50971, 51125, 50874, 50992, 64781, 57553, 51017, 50836, 51396, 53594, 63018, 51189, 50688, 50308, 51189, 50688, 50312, 51189, 50688, 50317, 51189, 52540, 51681, 50300, 50978, 51017, 69614, 51110, 50868, 59243, 53794, 52540, 50825, 51396, 50864, 68492, 50868, 65392, 50992, 62476, 54182, 53875, 52540, 51523, 50300, 69751, 59243, 69614, 51100, 65671, 50461, 55493, 50806, 69768, 51058, 51506, 50978, 51042, 50873, 51666, 53866, 52939, 53866, 50420, 50688, 50310, 50857, 50688, 50315, 50857 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3495, 2214, 19, 10, 7212, 20889, 6, 4246, 30587, 8, 2382, 3459, 29589, 6, 13305, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 24536, 10, 16331, 33215, 16739, 9, 1918, 406, 6, 211, 119, 406, 6, 8, 272, 406, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 5466, 10686, 13, 3618, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 52963, 50811, 51334, 50838, 51893, 50805, 52700, 50838, 64220, 56235, 70925, 55482, 51684, 51732, 51457, 55482, 51825, 55277, 50902, 52231, 50902, 52231, 50902, 52231, 50902, 52231, 50902, 52231, 50902, 52231, 50415, 70778, 58728, 52287, 56235, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 53903, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 53903, 51647, 54166, 64581, 51334, 50838, 51893, 50805, 52700, 56517, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51334, 50838, 51893, 50805, 52700, 56909, 50852, 53548, 58925, 53903, 51532, 53810, 64581, 51334, 50838, 51893, 50805, 52700, 56784, 50852, 50840, 51450, 53903, 51572, 54400, 64581, 51334, 50838, 51893, 50805, 52700, 57060, 50852, 53688, 50801, 57384, 50880, 51647, 56354, 50816, 50840, 53206, 50811, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 51137, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51924, 50838, 52700, 50838, 54193, 50805, 51132, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51924, 50838, 52700, 50838, 54193, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 67624, 52140, 51303, 51662, 50436, 62279, 52140, 51327, 51662, 50437, 65387, 52140, 51818, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 50852, 54871, 50852, 50840, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 51137, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51924, 50838, 52700, 50838, 54193, 50805, 51132, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51924, 50838, 52700, 50838, 54193, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 67624, 52140, 51303, 51662, 50436, 62279, 52140, 51327, 51662, 50437, 65387, 52140, 51818, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 52294, 51795, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 69653, 52341, 51538, 60506, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 50852, 54871, 50852, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51211, 51184, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51924, 50838, 52700, 50838, 54193, 50805, 70010, 51219, 51407, 60506, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51924, 50838, 52700, 50838, 54193, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 67624, 52140, 51303, 51662, 50436, 62279, 52140, 51327, 51662, 50437, 65387, 52140, 51818, 51662, 51450, 53903, 70778, 52140, 51219, 51492, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 53206, 52625, 50840, 51528, 51156, 57639, 50840, 51334, 50838, 51893, 50805, 52700, 50838, 70193, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51334, 50838, 51893, 50805, 52700, 50838, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 70193, 51572, 54400, 64581, 51132, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51893, 50838, 52700, 50838, 54280, 50805, 51137, 54934, 50852, 50840, 51528, 53903, 51402, 50840, 52906, 50811, 51893, 50838, 52700, 50838, 54280, 57572, 50852, 53548, 58925, 78180, 51532, 53810, 50852, 54496, 50852, 50840, 62367, 52140, 51231, 51662, 50436, 73932, 52140, 51414, 51662, 50437, 70925, 52140, 51825, 51662, 51450, 53903, 70778, 52140, 52287, 51662, 51572, 54400, 50852, 55059, 50852, 53688, 58925, 78180, 51647, 54166, 50852, 54871, 50852, 50840, 51528, 51156, 57639, 50840, 51924, 50838, 52700, 50838, 54280, 50805, 74904, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51924, 50838, 52700, 50838, 54280, 50805, 51532, 53810, 50852, 54496, 50852, 50840, 51450, 53903, 74904, 51572, 54400, 64581, 51374, 55373, 50852, 53688, 58925, 78180, 51647, 54166, 64581, 51374, 54934, 50852, 50840, 51528, 53903, 70010, 67602, 74673, 51219, 50905, 51282, 60109, 57599, 50795, 51402, 50840, 52906, 54381, 50852, 53548, 58925, 78180, 51532, 53810, 64581, 70010, 51046, 50978, 51143, 50978, 51219, 50978, 51282, 50865, 51118, 50865, 51089, 62803, 50852, 50840, 51450, 53903, 51640, 50802, 67602, 74673, 51569, 50905, 51282, 60109, 78319, 50795, 51572, 54400, 50852, 55059, 50852, 53688, 58925 ]

[ 0, 250, 20902, 3495, 1619, 2214, 4246, 13305, 6, 21072, 6, 12280, 3275, 1725, 3109, 6, 3152, 6757, 6, 8, 3459, 8669, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 8325, 163, 5683, 6, 17407, 30, 10, 33215, 16739, 9, 274, 119, 6, 12608, 6, 163, 428, 6, 274, 119, 6, 8, 230, 119, 6, 2351, 10, 1372, 8, 33558, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50799, 61236, 57974, 55723, 51468, 50458, 52977, 51675, 50460, 53146, 51077, 50799, 51859, 51336, 52463, 74814, 52301, 51336, 52977, 51336, 51829, 51336, 53426, 51336, 50799, 53503, 51336, 51859, 51336, 52317, 51336, 53146, 74814, 52301, 51336, 51953, 51336, 51676, 51336, 51829, 51336, 52354, 50806, 51859, 50952, 52977, 50952, 51829, 50952, 52553, 52639, 75752, 51674, 50836, 51334, 50862, 51762, 50434, 50945, 58732, 53294, 53085, 50879, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50446, 53016, 53835, 53711, 53085, 50917, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50458, 53016, 50991, 53596, 52090, 51041, 56818, 52943, 72265, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 77059, 51850, 68796, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 50446, 52943, 51896, 50798, 53711, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 55708, 52090, 51041, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50434, 51228, 59872, 53294, 52943, 50879, 70760, 51674, 50862, 51934, 50854, 51762, 50446, 51850, 61174, 53711, 52943, 50795, 51256, 50810, 51674, 50809, 51934, 50864, 51762, 50458, 52943, 51977, 60620, 50924, 52553, 52639, 51772, 50886, 51674, 50857, 51334, 50862, 51762, 50434, 51796, 61958, 53294, 51772, 50864, 51674, 50867, 51334, 51559, 55685, 50798, 53711, 51772, 50857, 51674, 70625, 50862, 51762, 57796, 50883, 52354, 52090, 51041, 52639, 75752, 51674, 50836, 51334, 50862, 51762, 50434, 76976, 51850, 52784, 53294, 53085, 50893, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50446, 53016, 53590, 53711, 53085, 50865, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50458, 53016, 51235, 53596, 52090, 51041, 56818, 52943, 63963, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 77059, 51850, 67774, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 50446, 51850, 53948, 53711, 52943, 51016, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 55708, 50806, 53882, 51362, 52553, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50430, 52292, 62408, 77221, 53324, 58732, 53294, 52943, 50879, 70760, 51674, 50862, 51934, 50854, 52550, 51285, 51762, 50446, 51850, 59083, 53711, 52943, 50938, 51256, 50810, 51674, 50809, 51934, 50864, 51762, 50458, 52943, 51623, 53324, 50952, 55708, 50806, 53296, 51661, 52553, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50434, 61207, 53324, 58396, 53294, 51366, 50886, 51209, 50862, 51334, 50854, 54769, 51016, 51762, 60260, 53711, 51366, 50810, 51209, 50809, 51334, 50864, 53029, 50889, 51762, 57796, 50883, 52354, 50924, 51829, 51151, 52463, 51151, 55919, 51313, 52553, 52639, 75752, 51674, 50836, 51334, 50862, 51762, 50434, 50945, 51896, 50798, 53294, 53085, 50924, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50446, 53016, 53632, 53711, 53085, 50938, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 50458, 53016, 51167, 54516, 51192, 52553, 56818, 52943, 53906, 52943, 50936, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 51186, 51896, 51850, 72706, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 50446, 52943, 55157, 53711, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 65310, 51173, 52553, 52639, 52943, 50879, 51256, 50857, 51674, 50862, 51934, 50857, 51762, 50434, 52022, 51977, 51850, 60623, 53294, 52943, 50830, 70760, 51674, 50862, 51934, 50854, 51762, 50446, 52943, 57277, 53711, 51850, 51362, 51256, 50810, 51674, 50809, 51934, 50864, 51762, 55563, 50806, 53324, 51013, 52553, 56818, 52527, 51977, 50426, 51772, 50886, 51674, 50857, 51334, 50862, 52049, 51013, 51975, 51127, 51762, 50434, 51325, 61025, 53294, 51772, 50864, 51674, 50867, 51334, 50813, 52292, 51013, 54073, 50889, 51762, 60260, 53711, 50953, 51013, 51772, 50857, 51674, 70625, 50862, 53334, 51013, 52205, 50914, 51762, 57796, 50883, 52354, 52090, 51041, 56818, 51850, 51620, 53085, 50879, 52184, 50901, 75752, 51674, 50836, 51334, 50862, 51762, 51001, 51819, 50434, 76976, 53016, 50810, 51567, 53590, 71360, 51998, 50438, 53085, 50936, 52184, 50866, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 51001, 55055, 50446, 53016, 50855, 51567, 52784, 71360, 53379, 50450, 53085, 50938, 52184, 50977, 51256, 50857, 51674, 50840, 51334, 50855, 51762, 51001, 55055, 50458, 53016, 51192, 52170, 51212, 51028, 56120, 53596, 52090, 51041, 56818, 52943, 51196, 51567, 51314, 76160, 50426, 51322, 50851, 51256, 50855, 51674, 50855, 51408, 50886, 51762, 50434, 51096, 58396, 53294, 51322, 50912, 75752, 51674, 50855, 51408, 50864, 51762, 60260, 53711, 51322, 50904, 75752, 51674, 50839, 51408, 51539, 56399, 50798, 50883, 55708, 50806, 53882, 51945, 53634, 50943, 52553, 52639, 51256, 50857, 51674, 50862, 51934, 50857, 52292, 50807, 54073, 50943, 51762, 50434, 77221, 51850, 50925, 51986, 59083, 50883, 50965, 53106, 50438, 52943, 50879, 51567, 50849, 70760, 51674, 50862, 51934, 50854, 53324, 51103, 52205, 50943, 51762, 50876, 51819, 50446, 51850, 50812, 51986, 53632, 50883, 50965, 65656, 52943, 51364, 51567, 51218, 51256, 50810, 51674, 50809, 51934, 50864, 52292, 50943, 52342, 50943, 51762, 50876, 53265, 50458, 52550, 50925, 55708, 50806, 53296, 50943, 52443, 50943, 52553, 52639, 52943, 51356, 51567, 51127, 51256, 50857, 51674, 50862, 51934, 50857, 54769, 50943, 53324, 50943, 51762, 76160, 50434, 50964, 59872, 53294, 51366, 50886, 51209, 50862, 51334, 50854, 53029, 50943, 52740, 50943, 51762, 56594, 54200, 55551, 50816, 58501, 50816, 52396, 51366, 50810, 51209, 50809, 51334, 50864, 55342, 50943, 52049, 50943, 54074, 57208, 51326, 56637, 51728, 52082, 50818, 54516, 51454, 51859, 51353, 52317, 51353, 53146, 51353, 51256, 51025, 51408, 51025, 51934, 51109, 52443, 51255, 53634, 51400, 52342, 51400, 51706, 51991, 75118, 51308, 50889, 51777, 50889, 52553, 57900, 53150, 51186, 51454, 51256, 51203, 51408, 51203, 51934, 51203, 52443, 51255, 53634, 51255, 52342, 51400, 75118, 51308, 50889, 51777, 63611, 52538, 70005, 56565, 51850, 50840, 51783, 52411, 50883, 50871, 53379, 50438, 51186, 51566, 55287, 50911, 52170, 50911, 52037, 50911, 51256, 51203, 51408, 51203, 51934, 51203, 52443, 51178, 53634, 51221, 52342, 51221, 75118, 51308, 50889, 51777, 50889, 51762, 51028, 77972, 51819, 50446, 53085, 50887, 51567, 50887, 52184, 53579, 71360, 69680, 50319, 53379, 50450, 51186, 51192, 55287, 50882, 52170, 50882, 52037, 50882, 51256, 51203, 51408, 51203, 51934, 51043, 52443, 51221, 53634, 51377, 52342, 51221, 75118, 51308, 50889, 51777, 63611, 52538, 70005, 50820, 51028, 51998, 50931, 51998, 50458, 72096, 53085, 51054, 51567, 51054, 52184, 51054, 52746, 50910, 50876, 53490, 50319, 52254, 52354, 51735, 51859, 51151, 52977, 51151, 51829, 51151, 51256, 51203, 51674, 51203, 51334, 51203, 53324, 51178, 51975, 51221, 52342, 51221, 51876, 51264, 75118, 51512, 50889, 51153, 50889, 52553, 52639, 50945, 51566, 53085, 50936, 51567, 50936, 52184, 50936, 51256, 51203, 51674, 51203, 51334, 51203, 53324, 51221, 51975, 51377, 52342, 51221, 75118, 51512, 50889, 51153, 63611, 52538, 70005, 67128, 74139, 50319, 55055, 50434, 53016, 50840, 51722, 50840, 52170, 52411, 50883, 50906, 69680, 50317, 53379, 53357, 51055, 53085 ]

[ 0, 250, 15352, 30054, 8, 19448, 15855, 15229, 19, 10, 2842, 9, 3495, 6, 278, 11, 5, 762, 9, 274, 538, 8, 1375, 23, 10, 7212, 20889, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 25306, 5466, 6, 21881, 8597, 149, 63, 3222, 5785, 9, 211, 119, 406, 6, 3676, 6, 8, 272, 401, 40286, 4, 20, 2125, 23645, 10, 13428, 14, 18, 6097, 9, 10, 455, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51085, 58468, 59409, 61653, 50916, 64971, 50877, 78198, 51809, 51214, 63160, 50435, 50902, 68085, 50899, 68085, 50906, 50359, 50408, 50871, 63309, 60212, 51085, 64880, 50443, 50876, 68085, 67964, 64880, 50916, 68085, 50796, 50433, 51214, 65278, 50451, 50902, 75222, 50452, 50906, 77092, 50871, 68303, 50899, 50359, 50402, 61627, 51062, 51445, 50439, 51085, 54691, 50457, 50876, 60150, 50458, 50877, 69895, 50916, 57968, 50796, 50440, 51146, 52168, 51214, 54088, 50457, 51062, 51318, 50458, 50902, 50361, 50831, 50314, 60667, 50309, 71133, 50899, 60243, 60212, 51081, 51318, 50440, 50999, 52263, 50441, 51085, 54887, 50456, 51081, 52519, 50877, 50362, 50842, 50308, 50362, 50842, 50316, 55811, 57731, 51062, 51283, 50439, 51214, 65691, 50323, 52528, 50456, 50902, 63546, 50314, 63667, 50871, 50359, 50402, 50899, 59170, 61627, 51062, 51293, 50439, 51085, 54071, 50455, 50876, 55197, 50916, 56374, 50877, 52618, 50796, 50437, 51146, 64488, 51214, 52782, 50454, 51062, 51295, 50902, 58556, 50309, 60243, 50906, 58556, 50306, 56869, 52591, 51081, 51295, 50435, 50999, 52263, 50436, 51085, 58961, 50450, 51081, 52136, 50451, 50876, 60326, 50877, 50359, 50831, 50308, 57968, 52177, 51062, 51679, 50432, 51081, 52263, 51214, 55811, 50449, 50931, 55776, 63932, 50360, 50400, 50899, 63667, 50871, 71133, 50906, 57968, 61627, 51085, 55776, 50454, 50876, 55776, 50877, 55776, 50916, 64971, 50796, 50443, 51214, 55776, 50460, 50902, 55002, 50906, 60243, 50871, 58556, 50306, 56869, 50796, 50448, 51339, 53259, 50449, 51247, 51166, 52478, 50931, 52140, 50902, 53674, 50877, 53280, 50871, 55812, 50451, 51081, 51218, 50452, 51247, 52731, 52478, 50902, 51852, 50899, 55036, 50314, 53957, 51062, 51204, 50871, 52011, 50433, 51146, 51295, 50447, 51062, 51151, 50448, 51247, 52782, 54960, 54590, 50307, 58898, 50965, 56374, 50444, 50931, 52727, 50445, 51234, 52946, 50461, 50876, 60667, 50312, 63532, 50956, 69065, 50304, 60326, 50796, 50442, 51081, 56004, 50443, 51234, 54887, 50460, 50906, 60243, 50861, 63667, 50899, 57032, 50796, 50441, 51234, 52782, 50458, 51147, 55002, 50965, 65748, 50906, 72464, 50956, 53490, 50304, 54146, 59412, 50951, 52256, 50440, 51081, 58651, 50441, 51234, 54071, 50456, 50906, 56869, 50457, 50861, 74478, 50899, 74478, 50796, 50437, 51234, 52179, 50452, 51062, 51637, 50906, 78407, 50876, 72464, 50861, 65748, 50453, 50956, 57941, 52591, 51405, 51381, 50433, 51146, 51448, 50434, 51234, 52167, 50448, 51062, 51310, 50902, 50362, 50842, 50312, 55584, 50449, 50871, 53024, 51601, 51081, 51381, 50431, 51062, 51445, 52046, 53313, 50448, 50876, 56308, 50956, 69066, 50449, 50861, 53313, 50796, 50433, 51214, 53306, 50434, 51081, 62321, 50454, 50902, 63070, 50906, 59821, 50871, 65988, 50899, 55177, 50796, 50449, 51085, 59170, 53069, 50861, 63510, 58060, 53055, 50956, 71133, 50453, 51214, 51697, 57731, 50902, 57032, 50906, 50361, 50831, 50309, 50361, 50814, 50306, 55765, 50458, 51339, 51264, 50459, 51247, 51174, 79254, 50931, 51775, 50965, 51961, 50876, 51330, 50459, 51399, 51189, 50460, 51247, 51470, 55746, 51062, 51204, 50906, 53186, 50321, 51680, 50871, 51862, 51028, 51862, 50440, 51081, 51204, 50455, 51062, 51307, 50456, 51247, 52731, 57731, 51001, 51680, 50876, 52482, 50956, 55002, 50861, 52011, 50454, 51081, 52644, 50455, 51234, 51387, 56020, 50906, 73336, 53674, 50899, 54228, 50452, 51234, 51210, 52591, 51147, 51749, 50906, 63532, 50965, 55016, 50304, 61887, 50956, 60243, 50436, 50951, 67647, 51081, 51748, 50451, 51234, 54071, 52478, 50906, 55765, 50861, 56869, 50419, 50899, 56869, 50447, 50951, 62321, 50448, 51234, 54088, 51809, 50956, 66924, 50906, 50359, 50831, 50316, 69065, 50311, 63667, 50444, 51234, 52179, 62856, 53577, 51028, 54146, 50415, 50965, 50362, 50842, 50309, 52462, 50430, 51399, 53577, 50448, 51405, 52503, 52046, 54386, 53069, 50876, 59821, 50956, 69065, 50311, 59821, 50450, 51081, 50363, 50410, 50451, 51214, 55811, 56020, 50902, 77263, 50906, 72057, 50871, 50359, 50402, 50899, 68303, 50456, 51085, 56515, 55746, 50876, 61653, 50877, 61017, 50916, 64880, 52177, 51214, 54521, 50435, 50902, 61124, 50906, 58898, 50871, 58556, 50306, 63160, 57731, 51062, 51445, 51085, 54887, 74933, 54298, 50916, 58556, 50313, 54088, 52591, 51081, 51283, 51214, 51524, 50435, 51062, 51115, 50902, 77429, 50314, 53693, 50309, 65748, 50899, 54386, 50450, 51146, 51391, 51601, 50999, 52519, 50416, 51085, 52946, 50429, 51081, 52519, 50430, 50876, 52101, 50916, 54386, 50431, 50877, 55811, 50445, 51062, 52441, 50460, 50951, 54829, 50461, 51214, 54887, 75695, 50902, 50360, 50400, 50429, 50906, 63070, 50871, 69065, 50306, 65254, 50458, 51062, 51243, 51085, 55811, 59412, 50876, 55789, 50877, 58556, 50308, 57968, 50453, 51081, 51637, 50454, 51214, 52179, 53069, 51062, 51218, 58973, 63684, 50314, 58961, 50421, 50899, 50359, 50399, 50871, 55765, 50434, 51146, 51134, 50448, 50999, 51637, 50449, 51085, 55811, 51601, 51081, 51965, 50416, 50876, 64240, 50313, 58961, 50916, 78407, 50430, 51062, 51679, 50445, 51214, 54088, 51081, 52519, 56229, 54573, 75456, 74139, 50314, 72464, 50871, 69065, 50306, 74478, 50449, 51085, 58898, 52478, 50876, 65278, 50877, 65278, 50916, 77263, 50452, 51214, 58961, 52591, 50902, 71133, 50421, 50906, 63806, 50871, 50360, 50842, 50306, 63069, 50454, 51339, 51359, 51247, 54861, 60212, 50931, 53486, 50902, 58961, 50877, 63532, 50871, 68886, 50453, 51081, 51115, 50454, 51247, 51269, 52591, 51062, 51241, 50902, 58961, 50906, 58090, 50421, 50899, 72057, 50871, 55197, 50434, 51146, 51310, 50449, 51062, 51293, 51247, 52731, 52177, 50876, 53957, 50956, 55002, 50965, 54228, 50448, 50931, 51243, 51234, 51824, 52177, 50876, 53957, 50965, 52441, 50956, 58898, 50900, 54211, 50446, 51081, 51353, 50447, 51234, 51166, 54594, 53164, 50314, 52048, 50899, 52011, 50442, 51062, 51353, 51234, 53010, 50458, 50876, 57800, 50312, 54848, 50459, 50956, 60667, 50304, 52618, 50796, 50440, 50951, 52337, 50441, 51234, 51737, 50456, 50906, 54590, 50311, 59170, 50899, 56374, 50796, 50437, 51234, 52179, 50453, 50906, 63532, 50861, 61887, 50956, 63667, 50900, 60243, 50796, 50435, 51234, 52946, 50452, 50906, 69066, 50965, 56869, 50453, 50956, 50359, 50402, 50900, 60243, 50796, 50435, 51234, 53024, 50453, 50906, 69066, 50899, 50361, 50831, 50311, 54386, 56020, 51081, 55002, 50442, 51405, 55275, 52046, 53024, 54960, 74553, 50956, 50359, 50402, 50861, 50359, 50399, 50443, 51146, 61887, 51214, 65330, 51809, 51081, 68085, 50902, 69065, 50321, 59125, 50417, 50906, 75306, 50309, 67852, 50899, 55084, 51601, 51085, 62609, 50433, 50876, 56308, 50956, 74553, 50861, 65825, 53069, 51214, 60150, 50436, 50906, 55044, 50902, 76395, 50871, 56308, 50899, 50359, 50402, 56020, 51085, 58306, 50440, 50876, 63309, 50956, 50360, 50408, 50861, 68085, 50796, 50435, 51247, 63872, 52177, 50876, 75222, 50871, 71133, 50877, 56869, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 11057, 8, 3495, 24904, 1619, 2214, 4246, 10, 326, 5638, 18026, 483, 7513, 30, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 7630, 14805, 10, 32076, 8, 31214, 6711, 19, 63, 15352, 30054, 2301, 6, 278, 11, 10, 23667, 132, 73, 176, 86, 6543, 23, 25664, 13410, 228, 2289, 11, 5, 762, 9, 230, 10431, 538, 6, 24826, 198, 5, 40286, 274, 10431, 6, 272, 37152, 6, 8, 230, 10431, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 50450, 52061, 50866, 52314, 50866, 52178, 62839, 51665, 50319, 51665, 50322, 50866, 59298, 51709, 50801, 51534, 51206, 78346, 51378, 51277, 50421, 52061, 51283, 52314, 51283, 52178, 51283, 50906, 51283, 51001, 51283, 51114, 51283, 50423, 50997, 76280, 80191, 56800, 51068, 70946, 51012, 50427, 51705, 51337, 50438, 51744, 50838, 52336, 50838, 54006, 66982, 57292, 58903, 58253, 79258, 50997, 51627, 50916, 52263, 50906, 51878, 50902, 51535, 50951, 51535, 51705, 51108, 50445, 52061, 50838, 52314, 50838, 52178, 66982, 57292, 58903, 52985, 51868, 51481, 51068, 51203, 50856, 50911, 50457, 51744, 50838, 52314, 50838, 52377, 66982, 61418, 60778, 70529, 51705, 50874, 51755, 51534, 50856, 50911, 50415, 51324, 51277, 51668, 51108, 50421, 51641, 50838, 52314, 50838, 52377, 66982, 61418, 64079, 56909, 50956, 76280, 52098, 50315, 56800, 51705, 51481, 51068, 69238, 50923, 50433, 51485, 51283, 52314, 51283, 52148, 51283, 50989, 51283, 50876, 51283, 50999, 51283, 50434, 51668, 54123, 50856, 69018, 50989, 51233, 51114, 51337, 51220, 51233, 51146, 51233, 50973, 51534, 51273, 51108, 50440, 50900, 75926, 51744, 50838, 52067, 50838, 52194, 55512, 71695, 50825, 51114, 50838, 51216, 51481, 51068, 51124, 50856, 50923, 50457, 52061, 50838, 52314, 50838, 52178, 57292, 60778, 67646, 70529, 51273, 50874, 59298, 51709, 50801, 51534, 50856, 51012, 50415, 51378, 51277, 50421, 52061, 50838, 52314, 50838, 52178, 57292, 60778, 67646, 56909, 50997, 76280, 80191, 56800, 51068, 64835, 79847, 51705, 51337, 50433, 51723, 50838, 52061, 50838, 51968, 60420, 57292, 58902, 52718, 52061, 50838, 51744, 50838, 51866, 55332, 58902, 58903, 50838, 51216, 51709, 50856, 50923, 50439, 51026, 51627, 51040, 52263, 50861, 51878, 50973, 51535, 50968, 51535, 50445, 51898, 50838, 52061, 50838, 52384, 62215, 56943, 58902, 52985, 52061, 50838, 51744, 50838, 51866, 55332, 58902, 58903, 64641, 57594, 75477, 51216, 51337, 50457, 51898, 50838, 52061, 50838, 52384, 62215, 56943, 58902, 50838, 50799, 52298, 50838, 51641, 50838, 52698, 66982, 61418, 60778, 50838, 51522, 51277, 50801, 50901, 51206, 58197, 51086, 51124, 50965, 51124, 51001, 51124, 50421, 52298, 50838, 52061, 50838, 51702, 57712, 61418, 58902, 50838, 50424, 55366, 52917, 51868, 66013, 51086, 57911, 59703, 68503, 50937, 50433, 52298, 51680, 52061, 51680, 51702, 51680, 50871, 51080, 50973, 51080, 51028, 51080, 50436, 52318, 53018, 51868, 51709, 50439, 51360, 51277, 50447, 51086, 71125, 71901, 80191, 50917, 50451, 51868, 51337, 50457, 50877, 57292, 57777, 56517, 50801, 73497, 51090, 58066, 50912, 50989, 61418, 60778, 50838, 51668, 51749, 50415, 50956, 52386, 50315, 73122, 50989, 61418, 60778, 52688, 50973, 54731, 50291, 51123, 50956, 50369, 51597, 51124, 50856, 74439, 50989, 51680, 50973, 51680, 51001, 51680, 50438, 51324, 52666, 50307, 52666, 50315, 70029, 50901, 50439, 51705, 51627, 50449, 51324, 52989, 51641, 50838, 52314, 50838, 52377, 61418, 78284, 63739, 51255, 50856, 50806, 50457, 52298, 50838, 51641, 50838, 52698, 50838, 58066, 51524, 50801, 52460, 50856, 67381, 50877, 52666, 50307, 50984, 51668, 51397, 50421, 50973, 51283, 51114, 51283, 50999, 75850, 51324, 65162, 51542, 50856, 50806, 50427, 57472, 50956, 51142, 50435, 52659, 52896, 50876, 67646, 60472, 58253, 66972, 51085, 51051, 57634, 50956, 51006, 51150, 51417, 50445, 50876, 67646, 65505, 57060, 51085, 53140, 50877, 60778, 67646, 64641, 51172, 50856, 64847, 50956, 58887, 71248, 50989, 55512, 60778, 56517, 53636, 59130, 52666, 50305, 50984, 50989, 57292, 58902, 50838, 51705, 51749, 50801, 51852, 50856, 50901, 50415, 50906, 73122, 50989, 57292, 58902, 52688, 51378, 52666, 50305, 50370, 51822, 51333, 50856, 50893, 50427, 50906, 71598, 50989, 51680, 50906, 51680, 51028, 51680, 50438, 51378, 53529, 50314, 62625, 51333, 50856, 50974, 50439, 75039, 51868, 51627, 50449, 51378, 71940, 51723, 50838, 51641, 50838, 52698, 77955, 50984, 50906, 78627, 51172, 50856, 74949, 51723, 50838, 51641, 50838, 52698, 50838, 59130, 51252, 51040, 50366, 51015, 52025, 50856, 68381, 50906, 51126, 51705, 51417, 50421, 50906, 51283, 51001, 51283, 51114, 75850, 51378, 75382, 66560, 61156, 75039, 50906, 56006, 50989, 57292, 60778, 50838, 51705, 71219, 52034, 50856, 66326, 51378, 51051, 57634, 50956, 51006, 50445, 50956, 66982, 58902, 57060, 51378, 53140, 50989, 55512, 60778, 64641, 51645, 50856, 64380, 50956, 58887, 71248, 50989, 55512, 57777, 70529, 51705, 57490, 50856, 50912, 57497, 50912, 50871, 61418, 58902, 50838, 51868, 51448, 50801, 51333, 50856, 50859, 65882, 52386, 50315, 73122, 50871, 61418, 58902, 52688, 50973, 54731, 50293, 51123, 50871, 50369, 51597, 51412, 50856, 50911, 50433, 50871, 51080, 50973, 51080, 51028, 51080, 50434, 52318, 52742, 51360, 75770, 52666, 50315, 51000, 53033, 70353, 51108, 50856, 78668, 51509, 50838, 52264, 50838, 53084, 65390, 51360, 52989, 50973, 64470, 63739, 70946, 61393, 50871, 61418, 58902, 50838, 60294, 67487, 50932, 50856, 50806, 65882, 51121, 50965, 51121, 50973, 51121, 51028, 51121, 50421, 50871, 61418, 58902, 52688, 50916, 57292, 55512, 61459, 51172, 51150, 51203, 51068, 66560, 63220, 50916, 51642, 50906, 51797, 50433, 50871, 61418, 58902, 50838, 55957, 53614, 50956, 59316, 61418, 55056, 51108, 50856, 79258, 51360, 51051, 66737, 50871, 51006, 51868, 51417, 50447, 51360, 53140, 51086, 57712, 57292, 64641, 51363, 50856, 50911, 73867, 64535, 71248, 50997, 51283, 50956, 51283, 50989, 51283, 59130, 50912, 51705, 51749, 50801, 51330, 50856, 50911, 50415, 51040, 78176, 54317, 50906, 54731, 50298, 51123, 51040, 50369, 51597, 70946, 64338, 50997, 60420, 66982, 50838, 55957, 52788, 51378, 52666, 50305, 52666, 50314, 59874, 51330, 50856, 50893, 50439, 51868, 51627, 50445, 51086, 57712, 59316, 65390, 51378, 52989, 50906, 51954, 50305, 50907, 51040, 66982, 57292, 64641, 66560, 50806, 50457, 50956, 57292, 58902, 50838, 59130, 51252, 51040, 51269, 50906, 60778, 67646, 50838, 51705, 71219, 51330, 50856, 50911, 50415, 50906, 51126, 50421, 50906, 60778, 67646, 52688, 51378, 75382, 66560, 79066, 75039, 71532, 50433, 50906, 51080, 51028, 51080, 50968, 51080, 50434, 51705, 54077, 51705, 70401, 51108, 50856, 50893, 50439, 51378, 51051, 63156, 50916, 51006, 50446, 51868, 54043, 51378, 53140, 51068, 66560, 64380, 50916, 63422, 50845, 53262, 51121, 50457, 50877, 57292, 57777, 56517, 50856, 51123, 58066, 52666, 50307, 50984, 50989, 61418, 60778, 50838, 51668, 51448, 50801, 50932, 50856, 73181, 50973, 73122, 50989, 61418, 60778, 52688, 51324, 52666, 50307, 50370, 51822, 78145, 79847, 50973, 71598, 50989, 51680, 50973, 51680, 51001, 51680, 50434, 52659, 52742, 51324, 53529, 50315, 51128, 53262, 70353, 51330, 50856, 79258, 71152, 50449, 51324, 71940, 51641, 50838, 52314, 50838, 52377, 60420, 50984, 50973, 78627, 70946, 72727, 52298, 50838, 51641, 50838, 52698, 56517, 53636, 58066, 51524, 51668, 71219, 51330, 50856, 70927, 50877, 52666, 50307, 50984, 50421, 50973, 51283, 51114, 51283, 50999, 75850, 51324, 65162, 66560, 50923, 50427, 57472, 50956, 51142, 50434, 51668, 54077, 50876, 67646, 60472, 55056, 51108, 50856, 79258, 51085, 51051, 57634, 50956, 51006, 51150, 51397, 50445, 50876, 67646, 65505, 57060, 51085, 53140, 50877, 60778, 67646, 64641, 51255, 50856, 50923, 50451, 50956, 58887 ]

[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 10563, 6, 4246, 10, 11739, 9, 13305, 6, 6755, 12547, 6, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 15352, 30054, 15229, 16, 1490, 198, 10, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 3676, 6, 8, 274, 6, 2351, 41, 11653, 8, 2365, 12, 6928, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51743, 51196, 51863, 51196, 51838, 60655, 51615, 51274, 51711, 51274, 52225, 51274, 50456, 51838, 54863, 52225, 50821, 50799, 51656, 51469, 51838, 51469, 52036, 51469, 50799, 53181, 51196, 51863, 51196, 51838, 51196, 52036, 60655, 52133, 51274, 51711, 51274, 52225, 51274, 52137, 51274, 50456, 52036, 54863, 52137, 50821, 50799, 51881, 51469, 51838, 51469, 52036, 51469, 52430, 69097, 51632, 52247, 51875, 52309, 52241, 52322, 53749, 52692, 52241, 52610, 51875, 52931, 78385, 78855, 50896, 51390, 51196, 51743, 51196, 52255, 51196, 51838, 63492, 52576, 53585, 52241, 50806, 51924, 50896, 51615, 51196, 51711, 51196, 52225, 67114, 52241, 54526, 51893, 57024, 52607, 50806, 50799, 52607, 50896, 51390, 50896, 51656, 51469, 51838, 51469, 52036, 51469, 50426, 52607, 50896, 51229, 53585, 52607, 52692, 52607, 52610, 52607, 52931, 52241, 50806, 55669, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 50806, 51863, 51196, 51838, 51196, 52036, 51196, 55207, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 50806, 51302, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 52309, 50804, 50806, 52576, 50806, 51322, 63537, 50806, 51408, 52322, 50804, 50806, 52241, 75160, 73878, 51334, 50806, 51711, 51274, 52225, 51274, 52137, 51274, 54141, 50806, 52241, 75160, 73878, 51334, 50806, 51382, 50806, 52241, 75160, 73878, 51334, 52931, 50804, 61200, 52241, 75160, 73878, 51334, 50806, 51711, 50806, 52225, 50806, 52137, 50806, 64908, 55706, 66028, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 51743, 52149, 51656, 52149, 51711, 52149, 72434, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51632, 52322, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 64908, 55706, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 72434, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51632, 52322, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 51516, 63837, 62219, 62656, 50806, 72434, 51578, 63837, 51196, 50931, 51196, 50999, 51196, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51632, 52322, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 51632, 51274, 51451, 50981, 51256, 50981, 51229, 50981, 51516, 63837, 62219, 62656, 50806, 72434, 51578, 68638, 71064, 51958, 50325, 50896, 51302, 53374, 51451, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 78385, 51435, 51343, 50877, 51274, 50876, 51274, 50931, 72328, 51848, 55706, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51632, 50896, 51451, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 78385, 51451, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 51507, 51274, 51322, 50981, 51256, 50981, 51229, 50981, 51881, 51307, 51516, 63837, 62219, 62656, 50806, 72434, 51578, 68550, 51196, 50931, 51196, 50999, 51196, 51302, 53374, 51322, 50981, 51256, 50981, 51229, 57547, 51848, 53374, 51507, 52322, 51848, 55706, 50806, 51507, 50806, 51322, 50892, 51256, 50892, 51229, 50892, 51180, 50806, 51507, 50896, 51322, 50981, 51256, 50981, 51229, 50981, 51382, 55706, 50806, 51516, 50893, 51453, 50806, 51507, 50806, 51322, 50892, 51256, 50892, 51229, 50892, 51435, 50893, 64908, 55706, 50806, 52576, 51274, 51322, 50981, 51256, 50981, 51408, 50981, 51863, 51307, 51948, 68550, 63037, 70622, 50806, 72434, 51578, 52530, 50318, 71064, 51958, 50325, 50896, 51302, 53374, 51322, 50981, 51256, 50981, 51408, 57547, 51848, 53374, 52576, 50806, 51435, 51343, 50906, 51274, 50902, 51274, 50931, 72328, 51848, 55706, 50806, 52576, 50806, 51322, 50892, 51256, 50892, 51408, 50892, 51180, 50806, 52576, 50896, 51322, 50981, 51256, 50981, 51408, 50981, 51382, 55706, 50806, 51435, 50893, 51453, 50806, 52576, 50806, 51322, 50892, 51256, 50892, 51408, 50892, 51435, 50893, 64908, 55706, 50806, 51875, 51274, 51366, 50981, 51229, 50981, 51334, 50981, 51656, 51307, 51578, 63837, 62219, 65332, 50806, 72434, 51578, 63837, 62219, 65332, 50806, 51302, 53374, 51366, 50981, 51229, 50981, 51334, 50981, 51578, 63837, 62219, 65332, 52309, 51848, 53374, 51875, 50806, 51578, 63837, 62219, 65332, 52322, 51848, 55706, 50806, 51875, 75160, 51310, 51229, 51310, 51334, 51310, 51578, 68638, 77079, 51958, 50325, 50896, 51180, 50806, 51875, 50896, 51382, 55706, 50806, 51516, 63837, 62219, 62656, 50806, 51453, 50806, 51875, 75160, 50892, 51229, 50892, 51334, 50892, 52070, 74694, 62571, 51958, 50322, 50896, 64908, 55706, 50806, 52607, 51274, 51547, 50981, 51229, 50981, 51390, 50981, 51838, 51307, 72434, 52070, 51343, 50877, 51274, 50902, 51274, 51114, 51274, 51302, 53374, 51547, 50892, 51229, 50892, 51390, 54100, 51848, 53374, 52607, 50806, 51547, 50981, 51229, 50981, 51390, 56692, 51848, 55706, 50806, 52607, 50806, 51516, 68638, 77079, 76110, 50896, 51180, 50806, 52607, 50896, 51547, 50981, 51229, 50981, 51390, 50981, 51382, 55706, 50806, 51578, 68550, 68053, 65332, 50806, 51453, 61200, 52607, 50806, 51547, 50892, 51229, 50892, 51390, 50892, 51516, 51343, 50906, 58404, 62656, 50896, 64908, 78260, 66028, 50806, 71790, 51209, 50857, 51408, 50857, 51390, 60334, 58404, 50806, 51039, 61505, 66918, 50972, 51544, 61505, 66918, 55378, 51848, 51685, 50791, 50806, 71790, 52036, 60597, 60946, 50901, 51570, 61505, 66918, 50972, 51180, 50806, 51711, 60597, 66918, 50972, 52320, 61505, 60946, 55670, 51848, 51575, 61200, 51507, 50806, 52036, 58801, 66918, 50972, 64908, 53374, 51875, 50802, 52033, 51103, 51656, 51103, 51711, 51103, 50877, 58000, 50901, 51039, 57442, 63257, 50972, 51544, 57442, 63257, 55378, 51848, 53374, 51875, 57650, 58000, 50901, 51570, 50806, 51119, 65481, 63257, 50972, 51180, 50806, 51099, 65481, 63257, 55437, 51848, 53374, 51875, 50896, 51144, 65481, 58000, 50901, 51453, 61200, 51144, 74694, 63257, 50972, 64908, 53374, 51598, 58503, 60946, 50901, 72434, 51099, 50858, 50906, 66918, 60147, 72548, 51544, 50806, 51706, 51356, 51198, 51356, 50906, 66918, 55378, 51848, 53374, 51598, 58503, 60946, 50901, 51570, 50806, 52036, 58801, 66918, 50972, 51180, 50806, 51711, 60597, 66918, 50972, 52320, 61505, 60946, 55670, 51848, 51575, 61200, 52607, 50806, 52036, 58801, 66918, 50972, 64908, 53374, 51875, 50802, 51656, 51103, 51711, 51103, 52225, 51103, 50877, 58000, 50901, 51039, 57442, 63257, 50972, 51544, 50806, 51578, 74694, 63257, 55378, 51848, 53374, 51875, 57650, 58000, 50901, 51570, 50806, 51435, 74694, 63257, 50972, 51180, 57442, 63257, 50972, 52320, 50806, 51275, 74694, 60559, 59827, 51848, 51575, 61200, 64908, 55706, 66028, 50806, 52576, 50896, 51256, 50981 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 21979, 8, 3459, 29589, 6, 3459, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 42, 2125, 29769, 198, 5, 762, 9, 83, 538, 6, 19, 5, 40286, 381, 406, 8, 83, 19983, 1328, 5, 2214, 6, 2351, 10, 33558, 8, 17627, 17274, 5466, 14, 18, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 62193, 54718, 51688, 50911, 50424, 51404, 50834, 51323, 52905, 50868, 51160, 50946, 51160, 51017, 51427, 50847, 51235, 50436, 50946, 64353, 60709, 61520, 51724, 51171, 65389, 51188, 50820, 51823, 53044, 51171, 53794, 50885, 51227, 50848, 51227, 50944, 51500, 50946, 51500, 50454, 51188, 50820, 51823, 50846, 62193, 54718, 51688, 50806, 50424, 51404, 50829, 51323, 52905, 51017, 51160, 50847, 51160, 50946, 51160, 50868, 51160, 50436, 51017, 55729, 61128, 61520, 51724, 51171, 63773, 51188, 50820, 51823, 52878, 51171, 54230, 50848, 50980, 50944, 51500, 50946, 51227, 50885, 51500, 50454, 51188, 50834, 51823, 50841, 50799, 51366, 51059, 51688, 53113, 51688, 52247, 50946, 51235, 51017, 51427, 50847, 51235, 50868, 51427, 50430, 52733, 52810, 52812, 50882, 50436, 52733, 65596, 55729, 61128, 61520, 54362, 52812, 50811, 51171, 63773, 51200, 50839, 51404, 53162, 51171, 54230, 50944, 51500, 50946, 51227, 50848, 78451, 50980, 50454, 51200, 50839, 51453, 60203, 50852, 64601, 50852, 50895, 53028, 50895, 51366, 51059, 51688, 54718, 51688, 56346, 50868, 65057, 68941, 77742, 51054, 50430, 52733, 54215, 52812, 50882, 50436, 52733, 53040, 52812, 58715, 51077, 51171, 51127, 50944, 51196, 50946, 51336, 50848, 51336, 50799, 52372, 50821, 51688, 74871, 52372, 55180, 52372, 50859, 51688, 50911, 50424, 52372, 50880, 51404, 50829, 51323, 52870, 53179, 75708, 51160, 51017, 51160, 50847, 51235, 50868, 51235, 50430, 53179, 54937, 53179, 66766, 53179, 50880, 50946, 60709, 54190, 71204, 54773, 52113, 50821, 51171, 63773, 52113, 50890, 51188, 50834, 51823, 53044, 52113, 50859, 51171, 50849, 50448, 52113, 55268, 51633, 76767, 51500, 50946, 78451, 50980, 50848, 51500, 50454, 51633, 50890, 51188, 50834, 51823, 53173, 51633, 70132, 51633, 50890, 50799, 52226, 50800, 51688, 50821, 50418, 52226, 54658, 52226, 50858, 51688, 50911, 50424, 52226, 50890, 51404, 50835, 51323, 52870, 52135, 73696, 51235, 51017, 51427, 50868, 51160, 50847, 51160, 50430, 52135, 54334, 52135, 67066, 52135, 76331, 54190, 71204, 55729, 54773, 51667, 50859, 51171, 63773, 52522, 50809, 51188, 50834, 51823, 53041, 51667, 50859, 51171, 50805, 50448, 52522, 55268, 51667, 73696, 51227, 50944, 51500, 50885, 51227, 50848, 51500, 50454, 52522, 50890, 51188, 50820, 51823, 52738, 51667, 66330, 52522, 50887, 50799, 52135, 50921, 51366, 51573, 51688, 53113, 51667, 51215, 51688, 56346, 50946, 51160, 51017, 51427, 50868, 51160, 50847, 51235, 50430, 52733, 52810, 52812, 66554, 52733, 50834, 58797, 51017, 54190, 61128, 54773, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 52986, 51171, 52596, 50848, 51227, 50946, 51227, 50885, 50980, 50944, 50980, 50454, 51200, 50834, 51453, 58892, 50852, 65493, 50852, 50884, 53028, 50818, 51366, 51573, 51688, 54718, 51688, 52247, 50946, 51427, 51017, 51160, 50868, 51427, 50847, 51235, 50430, 52733, 52810, 52834, 50908, 52812, 60661, 52834, 68210, 52834, 50835, 52733, 60576, 61128, 71204, 61520, 51724, 51069, 50918, 52834, 50839, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 50375, 52438, 53325, 51171, 65052, 53867, 52725, 53867, 50846, 50946, 51500, 50848, 51227, 50885, 50980, 50944, 50980, 50454, 51200, 50820, 53285, 50910, 52372, 53558, 51130, 56804, 50834, 51688, 50821, 50418, 52372, 55180, 51069, 51112, 52372, 53841, 51139, 50835, 51688, 50911, 50424, 52372, 50880, 51404, 50835, 51323, 53855, 53179, 52153, 64678, 50820, 51017, 51160, 50868, 51427, 50847, 51235, 50946, 51160, 50430, 53179, 54937, 70507, 53179, 50858, 75596, 51938, 52438, 59131, 53179, 50880, 50946, 64353, 55729, 54190, 51724, 72586, 52113, 52189, 63856, 50820, 51171, 65389, 52113, 50890, 51188, 50820, 51823, 53044, 50927, 51116, 52113, 53841, 51041, 50825, 51171, 50805, 50448, 52113, 54755, 51633, 52153, 56804, 67510, 51227, 50848, 78451, 50980, 50944, 51500, 50453, 50927, 53971, 67641, 51633, 50880, 51188, 50820, 51823, 52881, 66494, 51633, 55879, 61698, 51633, 50890, 53285, 50840, 52226, 53841, 51130, 63856, 50820, 51688, 50821, 50418, 52226, 54658, 51069, 51112, 52226, 53558, 51392, 50829, 51688, 50911, 50424, 52226, 50890, 51404, 50829, 51323, 52905, 52135, 52153, 64678, 65289, 51427, 51017, 51160, 50946, 51235, 50847, 51235, 50430, 52135, 54937, 76100, 52135, 50859, 67491, 51935, 52438, 59131, 52135, 50809, 51017, 54190, 75708, 60709, 50859, 53758, 50808, 51667, 52189, 56804, 50834, 51171, 65389, 52522, 50809, 51188, 50834, 51823, 53044, 58773, 51667, 53287, 51041, 50825, 51171, 50805, 50448, 52522, 52555, 51325, 50901, 51667, 52153, 56804, 60660, 50980, 50944, 50980, 50946, 51227, 50885, 51227, 50453, 50801, 62786, 52522, 50809, 51188, 50834, 51823, 52881, 51011, 51058, 51667, 56189, 61698, 52522, 50890, 53534, 50910, 52135, 50940, 51479, 64678, 50834, 51366, 51745, 51688, 54718, 51011, 51235, 51667, 51175, 52321, 50835, 51688, 50893, 51544, 63856, 50820, 51017, 51460, 50946, 51427, 50868, 51427, 50847, 51235, 50429, 51205, 56839, 52733, 52810, 51228, 51582, 50835, 52812, 53660, 51938, 52438, 60591, 52733, 50834, 59385, 51017, 60709, 61520, 50859, 53758, 51420, 64678, 50834, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 52986, 75718, 51897, 50835, 51171, 50849, 52320, 64678, 65968, 51227, 50944, 51603, 50885, 50980, 50848, 51500, 50453, 50927, 53790, 62786, 51200, 52579, 51228, 50937, 56345, 53534, 53345, 51130, 64678, 50820, 51366, 51745, 51688, 55446, 51011, 51112, 52321, 50829, 51688, 50893, 51544, 63856, 62338, 51160, 51017, 51427, 50847, 51160, 50946, 51160, 50430, 52733, 53705, 76100, 52113, 51421, 50835, 52812, 53660, 51938, 52438, 63122, 52733, 58178, 55729, 61128, 71204, 52599, 58883, 52113, 52304, 63856, 50820, 52812, 50811, 51171, 65389, 51200, 50839, 51404, 52616, 65495, 52113, 53672, 51139, 50835, 51171, 53794, 51325, 50901, 52113, 52207, 56804, 73615, 51500, 50885, 50980, 50848, 51227, 50944, 50980, 50453, 50801, 67641, 51200, 52579, 51011, 51058, 52113, 55879, 50846, 53534, 51183, 53179, 51290, 51815, 51127, 51938, 51459, 50820, 51217, 52097, 50420, 51282, 64286, 50949, 50946, 51336, 50426, 52113, 50879, 51089, 51141, 51068, 56921, 65289, 51294, 50432, 52226, 66554, 51633, 57231, 52950, 50953, 51183, 51401, 51077, 52705, 51459, 50820, 50988, 63883, 51083, 64286, 69914, 51413, 50450, 51020, 51218, 51068, 55274, 58178, 51091, 55194, 51183, 52473, 51127, 52705, 51459, 50834, 51506, 51362, 50420, 51282, 64286, 51031, 50946, 51294, 50426, 51268, 51218, 51068, 58250, 63264, 50983, 50436, 50801, 52766, 50945, 51183, 51616, 51103, 51935, 51459, 50834, 51164, 51413, 57040, 53325, 51282, 68113, 50895, 50946, 51294, 50450, 51061, 51191, 51068, 56921, 69263, 51073, 50456, 52113, 50879, 53534, 50845, 53179, 50896, 51815, 51103, 52453, 55274, 73615, 79963, 51011, 50845, 51282, 51218, 52453, 62294, 51291, 50426, 51011, 51003, 52113, 50948, 51089, 51218, 51068, 51239, 59520, 58875, 69467, 52226, 51508, 59131, 51633, 73841, 52600, 73703, 51401, 51077, 52453, 55274, 50820, 50988, 51446, 50442, 50801, 54189, 50953, 50901, 51083, 51189, 52321, 69903, 51241, 50448, 50801, 54044, 50953, 51003, 51020, 51218, 51068, 51044, 63292, 59947, 51235, 50454, 50801, 53650, 69591, 52288, 50901, 51763, 51183, 51479, 55274, 50834, 63843, 59980, 60841, 68743, 61041, 57780, 54193, 66089, 60065, 68162, 55420, 55105 ]

[ 0, 250, 15855, 19834, 15229, 14, 7630, 6568, 10, 1472, 9, 9066, 2821, 16235, 8, 3722, 5581, 6, 4246, 2382, 3459, 8669, 6, 81, 9756, 8669, 6, 6755, 12547, 6, 13305, 6, 8, 769, 196, 6757, 6, 70, 447, 561, 7, 1045, 10, 25306, 5466, 4, 8504, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 2455, 5, 30443, 7, 1950, 4356, 2089, 1090, 1235, 11, 5, 19448, 8, 8728, 34879, 14, 21815, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50432, 51089, 57341, 50795, 58165, 67755, 67755, 50795, 51404, 51646, 51089, 57341, 50795, 58165, 67755, 67755, 50795, 51404, 51918, 51281, 56962, 50807, 56732, 50807, 73199, 66316, 52074, 51798, 51208, 50795, 71006, 51746, 51923, 51385, 73757, 50795, 56266, 50795, 71006, 51488, 50918, 52232, 50918, 56310, 50918, 51040, 71651, 50918, 51028, 50918, 52657, 50918, 60765, 50918, 59089, 50918, 62396, 50918, 69334, 50918, 58165, 50918, 62545, 50918, 51883, 50918, 51794, 50918, 51301, 50918, 51488, 62715, 51208, 50983, 51357, 50983, 51746, 57222, 50973, 51605, 51086, 52045, 50956, 52045, 50989, 52045, 56296, 52045, 62027, 52045, 74287, 52045, 56266, 51605, 70367, 52045, 63017, 52045, 59502, 52045, 51357, 51605, 52065, 52045, 51426, 52045, 51491, 52045, 66243, 51268, 75007, 50795, 59502, 65728, 50800, 51491, 50795, 51823, 52262, 51268, 50800, 51491, 50800, 51823, 51724, 51268, 59625, 50795, 59502, 65728, 65728, 50795, 51823, 51918, 51281, 58750, 50807, 56732, 50807, 66316, 66316, 52074, 53312, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 68663, 50799, 51281, 50807, 51315, 52045, 51086, 52045, 50916, 52045, 50965, 51492, 51817, 52045, 56296, 52045, 59089, 52045, 50671, 50296, 52045, 70367, 52045, 58165, 52045, 56732, 51492, 66316, 52830, 52045, 52065, 52045, 51301, 52045, 51375, 51492, 52074, 52424, 50877, 50918, 54628, 79383, 50918, 57844, 50983, 56266, 50983, 51357, 57345, 57227, 50973, 50795, 56266, 50795, 76631, 71006, 51746, 52262, 57227, 76631, 51746, 51724, 51208, 56190, 58509, 72025, 50918, 62027, 50918, 50684, 50312, 50918, 56266, 50795, 63017, 50918, 56732, 50918, 71006, 71006, 51426, 50918, 51375, 50918, 51746, 51918, 51208, 57981, 50807, 62545, 50807, 71006, 72165, 51746, 51798, 51208, 50795, 71006, 51746, 51923, 51385, 50918, 51001, 50795, 60252, 50795, 67733, 51488, 50918, 52232, 50918, 57346, 71651, 72025, 50918, 50968, 50918, 60765, 50918, 59089, 50918, 50684, 50312, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 55687, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51266, 62715, 51281, 50983, 51375, 50983, 52074, 57222, 51001, 51605, 51176, 52045, 51086, 52045, 50956, 52045, 53926, 52045, 56296, 52045, 62027, 52045, 60252, 51605, 50671, 50300, 52045, 70367, 52045, 63017, 52045, 51395, 51605, 52316, 52045, 52065, 52045, 51426, 52045, 66243, 51281, 56962, 50795, 56732, 50795, 73199, 73199, 52074, 51646, 51281, 56962, 50795, 56732, 50795, 73199, 73199, 52074, 51918, 51023, 57543, 50807, 54628, 50807, 67769, 67769, 51323, 53312, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 68663, 50799, 51385, 75628, 51036, 51040, 51036, 50916, 51036, 51028, 51036, 52657, 51036, 60765, 51036, 59089, 51036, 62396, 51036, 69334, 51036, 58165, 51036, 62545, 51036, 72165, 51883, 51036, 51794, 51036, 51301, 51036, 51488, 51036, 52232, 50807, 57844, 50983, 51324, 71651, 74882, 50918, 51415, 50918, 56266, 50983, 50671, 50291, 50918, 58165, 50918, 59502, 50918, 51357, 50983, 54333, 50918, 51301, 50918, 51491, 62715, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 51746, 51646, 51208, 56190, 68339, 72424, 74882, 50918, 56296, 50918, 56266, 50795, 70367, 50918, 63017, 50918, 59502, 50918, 71006, 71006, 52065, 50918, 51426, 50918, 51491, 50918, 51746, 51918, 51208, 57981, 50807, 62545, 50807, 71006, 72165, 51746, 51798, 51208, 50795, 71006, 51746, 51923, 51385, 50918, 51001, 50795, 60252, 50795, 67733, 51488, 50918, 52232, 50918, 57346, 71651, 72025, 50918, 50968, 50918, 60765, 50918, 59089, 50918, 50684, 50312, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 55687, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51266, 62715, 51208, 50983, 51357, 50983, 51746, 57222, 51001, 51605, 51176, 52045, 51086, 52045, 50956, 52045, 53926, 52045, 56296, 52045, 62027, 52045, 60252, 51605, 50671, 50300, 52045, 70367, 52045, 63017, 52045, 51395, 51605, 52316, 52045, 52065, 52045, 51426, 52045, 66243, 51208, 56962, 50795, 56732, 50795, 73199, 71006, 51746, 51646, 51208, 56962, 50795, 56732, 50795, 73199, 71006, 51746, 51918, 51281, 56036, 50807, 54628, 50807, 51375, 61503, 50807, 52074, 51798, 51208, 50795, 71006, 51746, 51923, 51281, 56190, 50795, 56266, 50795, 73199, 71006, 66954, 50799, 51385, 75628, 71651, 51036, 50877, 51036, 51028, 51036, 52657, 50918, 62396, 50918, 58165, 51036, 54628, 51036, 62545, 51036, 72165, 51883, 50918, 51301, 51036, 78146, 51488, 51036, 52232, 52424, 51378, 50918, 52646, 50918, 50671, 50298, 50918, 53148, 50918, 55524, 50983, 50989, 71052, 50983, 51086, 50918, 56296, 50918, 58165, 50983, 59502, 50983, 56266, 50983, 70367, 50918, 51301, 50983, 51491, 50983, 51357, 50983, 52065, 55834, 51268, 50800, 51491, 50800, 51823, 52765, 51268, 50800, 51491, 50800, 51823, 51628, 51268, 50983, 50989, 50795, 59502, 65728, 65728, 50983, 51823, 57222, 50989, 50991, 51324, 50918, 51415, 50918, 59502, 50991, 50671, 50291, 50918, 51491, 50991, 54333, 56027, 51281, 50991, 51375, 50991, 52074, 65677, 50965, 50991, 56732, 50991, 51375, 59592, 51208, 56190, 50795, 56266, 50795, 71006, 71006, 68663, 50799, 51281, 50991, 50965, 50991, 50916, 50983, 51360, 50918, 51176, 50918, 52022, 50918, 53926, 50918, 56732, 50991, 58165, 50983, 50671, 50293, 50918, 50671, 50300, 50918, 51375, 50991, 51375, 50991, 51301, 50983, 53599, 50918, 52316, 50918, 52074, 64736, 51281, 50991, 50989, 50991, 59502, 50991, 51491, 50991, 51375, 50991, 52074, 61690, 51089, 57341, 50795, 58165, 67755, 67755, 50795, 51404, 51646, 51495, 67858, 50918, 51315, 50918, 51040, 50918, 51011, 50918, 51817, 50918, 50671, 50289, 50918, 50671, 50296, 50918, 69334, 50918, 51794, 50800, 53215, 50918, 52830, 50918, 51794, 50918, 51943, 51820, 51023, 70002, 50991, 54628, 50991, 51113, 50991, 51113, 50983, 51323, 68862, 51281, 62674, 50795, 56732, 50795, 70058, 73199, 52074, 52567, 51268, 50807, 77315, 51823, 50807, 55524, 50918, 51324, 51036, 50989, 51036, 50973, 51036, 51415, 51036, 58165, 50918, 50671, 50291, 51036, 59502, 51036, 56266, 51036, 51301, 50918, 54333, 51036, 51491, 51036, 51357, 51036, 64574, 50918, 63017, 50918, 51426, 50918, 57497, 50918, 51040, 71651, 72025, 50918, 51028, 51036, 52022, 50918, 50671, 50293, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 62545, 51036, 53599, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51488, 76175, 51279, 50918, 51040, 71651, 63831, 50918, 51011, 50918, 50671, 50289, 50918, 69334, 50918, 58165, 50918, 54628, 50918, 53215, 50918, 51794, 50918, 51301, 79383, 50918, 59130, 50918, 51040, 74882, 63831, 50918, 51028, 51036, 52646, 50918, 50671, 50298, 50918, 69334, 50918, 59502, 50918, 54628, 50918, 62545, 51036, 53148, 50918, 51794, 50918, 51491, 79383, 50918, 51488, 76175, 51279, 50918, 51040, 71651, 63831, 50918, 51011, 50918, 50671, 50289, 50918, 69334, 50918, 58165, 50918, 54628, 50918, 53215, 50918, 51794, 50918, 51301, 79383, 50918, 57497, 50918, 51040, 71651, 72025, 50918, 51028, 51036, 52022, 50918, 50671, 50293, 50918, 69334, 50918, 58165, 50918, 56732, 50918, 62545, 51036, 53599, 50918, 51794, 50918, 51301, 50918, 51375, 50918, 51488, 76175, 51279, 50918, 51040, 71651, 63831, 50918, 51011, 50918, 50671, 50289, 50918, 69334, 50918, 58165, 50918, 54628, 50918, 53215, 50918, 51794, 50918, 51301, 79383, 50918, 62368, 51036, 51040 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 278, 11, 5, 762, 9, 211, 3694, 8, 702, 23, 10, 7212, 20889, 4, 20, 13305, 3315, 5, 169, 6, 7513, 30, 21072, 6, 6755, 12547, 6, 8, 258, 21979, 8, 81, 9756, 29589, 4, 20, 33215, 16739, 9, 211, 119, 6, 274, 6, 230, 6, 211, 119, 6, 8, 272, 119, 3639, 7, 5, 2214, 18, 19448, 8, 1372, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50458, 50953, 52071, 52690, 51680, 51231, 51277, 51414, 51309, 53159, 51127, 51555, 51183, 51881, 52727, 52137, 51445, 53817, 51922, 51615, 51922, 51863, 60130, 50798, 68680, 51074, 56514, 56517, 50988, 52015, 51809, 51070, 51697, 50422, 51410, 51961, 50848, 59875, 52782, 50428, 50939, 52015, 51553, 51079, 51070, 51697, 50433, 51457, 51391, 53865, 51003, 51612, 51204, 50920, 51079, 51845, 51074, 50439, 50848, 52048, 51925, 51079, 51070, 51737, 50444, 78070, 50445, 51231, 51142, 68898, 51567, 51003, 51070, 63050, 50848, 58483, 50451, 51303, 50364, 51398, 51737, 50455, 53865, 51313, 50456, 51186, 51151, 55285, 51680, 51303, 51412, 51414, 51328, 51612, 51655, 51881, 50360, 50408, 58366, 51449, 51743, 51243, 52036, 51293, 50920, 51074, 50457, 51037, 52222, 57342, 62826, 50937, 51070, 52731, 50420, 53075, 55002, 51070, 54386, 50426, 50939, 51218, 50852, 51166, 51070, 54691, 50432, 52303, 62726, 67484, 58553, 51074, 50436, 50848, 52482, 50437, 51410, 51233, 51240, 50845, 51070, 53313, 50443, 51303, 56144, 51391, 51070, 51166, 50449, 51249, 51058, 50848, 54071, 51170, 50974, 51070, 51166, 50454, 50945, 52151, 53075, 51680, 51303, 50892, 51249, 51309, 53485, 51183, 51567, 51077, 52133, 52335, 51656, 52222, 52430, 52062, 54720, 51243, 51743, 52727, 50920, 51079, 51845, 51387, 56514, 50905, 50455, 51164, 51714, 50460, 51925, 51074, 51070, 53024, 50461, 69865, 52478, 51270, 50838, 51070, 51432, 50419, 50872, 65869, 51303, 55003, 50850, 51397, 51383, 50838, 51070, 51166, 50430, 51476, 51709, 51584, 51095, 50920, 50972, 50431, 53304, 51101, 50435, 50885, 53726, 50436, 51327, 51542, 53159, 50974, 51555, 51233, 51236, 51058, 51070, 54887, 50441, 51303, 51174, 53554, 64986, 51534, 51783, 51003, 51070, 51697, 50447, 51249, 51142, 50847, 51470, 51925, 51074, 51070, 53313, 50452, 53159, 51945, 50453, 50953, 52071, 52690, 51939, 51231, 50874, 51414, 50959, 50988, 51714, 51555, 51991, 51881, 56235, 52137, 55482, 53817, 52204, 50832, 70581, 51079, 50458, 51410, 52168, 51889, 50974, 51070, 51387, 50459, 61763, 51809, 51070, 51387, 50417, 50847, 78893, 51414, 55084, 50939, 51295, 51070, 53024, 50428, 51231, 52034, 51414, 51309, 51981, 51025, 51236, 68680, 55378, 50848, 52731, 50434, 50852, 51166, 51240, 50838, 51070, 51166, 50439, 51414, 51319, 51457, 51411, 75242, 50843, 51166, 51170, 50838, 51070, 53024, 50440, 50848, 51126, 50445, 51414, 52134, 50848, 58090, 51070, 58369, 53159, 51127, 50451, 50953, 52069, 52690, 52015, 51414, 51254, 51457, 51277, 51981, 51277, 51555, 51417, 51838, 79010, 68680, 51074, 56514, 75013, 50988, 51452, 50457, 51070, 51697, 50458, 50848, 51000, 61357, 51965, 51070, 51737, 65751, 55650, 51457, 50912, 50939, 51562, 51553, 51079, 51070, 68544, 51231, 51051, 52932, 51241, 55253, 51351, 52290, 51013, 50920, 51079, 51845, 51074, 50431, 50848, 51797, 50432, 51925, 51079, 51070, 51737, 50437, 77643, 50438, 51457, 51242, 56078, 50915, 52037, 50915, 52430, 51003, 51070, 51387, 50442, 50848, 52518, 50443, 51980, 51365, 51070, 51737, 50448, 51751, 51677, 50449, 51105, 51714, 56139, 52015, 51980, 51412, 51981, 51043, 55253, 51353, 52290, 51945, 52402, 51939, 57166, 52222, 52735, 51293, 50920, 51376, 50454, 51037, 51142, 50455, 51236, 50873, 51070, 51697, 50460, 52303, 59821, 50979, 59317, 54386, 52478, 50939, 51742, 50852, 51166, 51070, 54691, 50424, 52303, 53313, 51687, 51852, 51414, 51166, 51981, 51381, 50843, 67484, 58553, 51074, 50430, 51240, 50845, 51070, 53313, 50436, 51414, 65545, 51423, 51070, 51166, 50441, 51327, 50362, 51657, 50974, 51070, 51166, 50447, 50945, 51293, 53075, 51680, 51249, 51328, 51327, 51411, 56078, 51417, 51164, 51742, 52037, 51218, 51743, 52528, 51711, 52062, 54720, 51449, 51656, 51671, 52626, 51293, 50920, 51079, 51845, 51387, 56514, 67763, 51925, 51074, 51070, 53024, 50458, 50885, 56573, 51249, 65330, 51270, 50838, 51070, 51432, 51601, 50850, 51452, 50416, 51383, 50838, 51070, 51166, 50422, 51303, 51470, 51825, 51542, 56078, 51121, 52037, 51194, 50920, 51174, 76752, 51852, 50428, 55253, 51309, 52290, 51328, 51236, 50974, 51070, 53313, 50433, 56078, 55808, 51775, 50434, 51249, 52167, 52037, 51101, 51070, 64896, 53485, 51172, 69865, 50440, 51567, 51423, 52886, 51293, 51925, 51074, 51070, 53313, 50445, 50927, 52069, 53655, 51680, 51457, 50838, 51981, 51203, 52287, 52188, 53865, 51293, 51612, 51036, 51881, 52062, 55430, 52062, 75667, 51615, 52337, 50832, 70581, 51079, 50446, 51171, 52071, 50451, 50946, 51592, 51889, 50974, 51070, 51387, 50457, 51457, 50363, 50815, 50306, 50933, 51070, 51387, 57342, 50912, 75468, 50415, 52326, 58898, 51981, 50363, 51398, 54071, 50420, 51410, 51627, 54310, 51351, 51236, 68680, 60147, 50848, 58483, 50426, 50852, 51166, 51240, 50838, 51070, 51166, 50428, 50850, 63256, 51457, 52059, 51478, 51346, 51622, 51346, 50850, 51542, 50848, 68376, 51166, 51170, 50838, 51070, 53024, 50438, 51981, 51524, 51070, 51079, 50439, 50848, 52063, 50443, 51940, 51013, 52375, 62682, 50953, 51353, 52690, 52015, 51457, 51309, 52932, 66015, 51518, 52290, 51445, 51881, 51592, 53817, 51445, 54307, 51264, 51863, 52337, 50798, 68680, 51074, 56514, 65390, 51070, 66893, 60577, 50454, 53468, 51177, 54455, 51177, 50455, 51410, 52598, 50847, 58869, 51737, 50460, 51940, 51661, 52375, 51661, 50461, 50939, 51591, 51553, 51079, 51070, 51697, 52478, 51231, 51627, 51414, 51534, 50903, 51079, 50920, 51079, 51845, 51074, 50424, 50903, 50972, 51925, 51079, 51070, 51737, 50430, 51981, 51775, 51478, 50915, 51622, 60871, 51172, 50903, 51166, 51070, 51387, 50436, 51414, 51524, 50872, 58869, 52782, 50442, 51186, 52069, 52303, 51662, 51414, 50838, 51457, 51242, 52106, 51016, 52341, 51016, 51037, 51486, 52037, 51313, 51838, 51939, 51743, 51939, 53181, 51449, 53718, 51353, 50920, 71106, 50848, 57402, 50873, 51070, 51697, 50453, 51414, 51387, 51940, 50892, 52375, 50892, 51070, 54386, 50454, 59228, 50458, 51478, 51417, 51622, 51417, 50459, 50939, 50983, 50852, 51166, 51070, 54691, 52177, 51303, 51961, 51825, 51480, 50903, 63778, 67484, 58553, 51074, 50422, 50848, 52034, 50903, 51079, 51240, 50845, 51070, 53313, 50428, 51414, 50838, 51825, 52482, 50872, 51233, 50903, 51432, 51070, 51166, 50429, 51245, 51377, 51211, 51377, 50434, 51457, 51524, 50848, 51210, 51170, 50974, 51070, 51166, 50440, 50964, 52069, 51476, 52168, 51327, 51328, 51980, 51309, 51981, 51242, 51593, 50807, 51634, 57680, 51742, 51567, 51293, 52402, 51592, 51711, 52062, 55793, 52062, 51615, 51445, 52626, 51307, 50920, 51079, 51845, 51387, 56514, 74307, 50979, 51079, 51925, 51074, 51070, 53024, 50450, 51478, 50892, 51622, 70334, 50847, 75688, 50838, 51070, 51432, 50456, 51593, 51417, 51634, 51417, 50909, 51452, 50457, 51383, 50838, 51070, 51166, 51601, 51981, 51419, 50903, 50974, 50920, 59288, 50903, 50972, 51236, 50974, 51070, 53313, 50426, 51980, 51142, 51478, 51411, 51622, 51411, 50979, 51277, 51070, 75506, 51925, 51074, 51070, 53313, 53758, 51991, 53655, 52783, 51249, 51423, 51457, 50974, 52106, 51112, 52341, 51112, 51171, 51677, 51612, 51293, 53718, 51518, 51743, 51592, 51838, 51939, 55430, 52062, 75667, 50832, 70581, 59388, 50946, 51592, 51889, 50974, 51070, 51387, 50448, 52106, 50805, 52341, 52596, 52326, 52441, 50848, 72184, 52192, 50455, 52106, 51480 ]

[ 0, 713, 765, 8, 182, 1769, 3495, 12, 6930, 18731, 2214, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 20425, 34879, 4, 660, 3459, 8669, 3315, 5, 169, 6, 2800, 30, 21072, 8, 41, 21979, 9590, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 13931, 9, 3676, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 65919, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51366, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51547, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51366, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51547, 60288, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51256, 60288, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 57710, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51451, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 61512, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 69277, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 51098, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51366, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 56950, 51029, 51482, 50948, 51265, 50948, 51195, 50948, 51322, 69277, 55271, 62229, 51195, 50948, 51262, 50948, 51355, 55271, 58292, 51482, 50948, 51265, 50948, 51195, 50948, 51322, 53451, 61363, 57647, 51216, 50860, 51195, 50948, 51262, 50948, 51355, 50948, 51451, 55166, 55271, 59894, 51216, 51072, 51482, 50948, 51265, 50948, 51195, 50948, 51322, 69277, 55271, 59591, 51195, 50948, 51262, 50948, 51355, 55271, 57322, 51150, 51072, 51482, 50948, 51265, 50948, 51195, 50948, 51451, 53451, 61363, 59465, 51195, 50948, 51262, 50948, 51355, 50948, 51830, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 79213, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 56780, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 60777, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 52733, 53451, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 50948, 51830, 52715, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 79213, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 56780, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 60777, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 52331, 50948, 51726, 50948, 51265, 56780, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51664, 61512, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 60777, 55271, 59894, 51493, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51451, 69277, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 55271, 57322, 51098, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51366, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 53451, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51229, 55166, 55271, 59894, 51493, 51009, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 55166, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 50948, 51366, 52715, 57322, 52331, 50948, 51726, 50948, 51265, 50948, 51322, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 69899, 51029, 51726, 50948, 52007, 50948, 51195, 50948, 51366, 79213, 55271, 62229, 51195, 50948, 51350, 50948, 51780, 55271, 58292, 51726, 50948, 52007, 50948, 51195, 56780, 61363, 57647, 51668, 50860, 51195, 50948, 51350, 50948, 51780, 60777, 55271, 59894, 51668, 51009, 51726, 50948, 52007, 50948, 51195, 60777, 55271, 59591, 51195, 50948, 51350, 50948, 51780, 55271, 57322, 51726, 50948, 52007, 50948, 51195, 56780, 61363, 59465, 51195, 50948, 51350, 50948, 51780, 55271, 50948, 56098, 51029, 51726, 50948, 52007, 50948, 51195, 60777, 55271, 62229, 51195, 50948, 51350, 50948, 51780, 55271, 58292, 51726, 50948, 52007, 50948, 51195, 56780, 61363, 57647, 51668, 50860, 51195, 50948, 51350, 50948, 51780, 60777, 55271, 59894, 51668, 51009, 51726, 50948, 52007, 50948, 51195, 50948, 51366, 69277, 55271, 59591, 51195, 50948, 51350, 50948, 51780, 55271, 57322, 51726, 50948, 52007, 50948, 51195, 50948, 51209, 61512, 61363, 59465, 51195, 50948, 51350, 50948, 51780, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 69277, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 55271, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 53451, 61363, 57647, 51493, 50860, 51223, 50948, 51350, 50948, 51355, 50948, 51209, 55166, 55271, 59894, 51493, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 55166, 55271, 59591, 51223, 50948, 51350, 50948, 51355, 50948, 51209, 52715, 57322, 51098, 51072, 52331, 50948, 51726, 50948, 51265, 50948, 51366, 61512, 61363, 59465, 51223, 50948, 51350, 50948, 51355, 55271, 50948, 54389, 51029, 52331, 50948, 51726, 50948, 51265, 50948, 51209, 55166, 55271, 62229, 51223, 50948, 51350, 50948, 51355, 50948, 51229, 52715, 58292, 52331, 50948, 51726, 50948, 51265, 50948, 51229, 61512, 61363 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 13305, 816, 11, 5, 762, 9, 230, 538, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 6, 19, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 274, 119, 1176, 406, 6, 272, 6, 8, 1918, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50461, 50951, 50818, 63515, 50931, 52115, 50968, 51631, 51050, 56645, 51646, 50871, 70897, 50967, 50876, 58647, 51085, 59006, 70897, 78022, 54197, 59006, 70897, 78022, 53645, 51215, 50877, 51215, 50876, 51215, 62275, 64674, 51175, 50877, 51175, 50876, 67876, 51050, 64110, 51167, 50877, 51167, 50876, 51167, 55547, 50806, 51279, 57926, 51167, 50877, 51167, 50876, 72882, 51234, 52370, 50290, 56346, 51085, 52370, 50292, 76648, 51379, 50877, 51379, 50876, 51379, 50432, 51279, 52362, 50289, 58395, 51247, 53531, 50309, 73523, 53531, 50316, 51054, 56415, 73523, 53531, 50316, 51054, 50461, 50999, 50818, 56807, 52115, 51114, 51631, 51085, 57022, 51646, 50861, 50967, 72481, 50876, 58647, 51214, 54828, 50967, 72481, 63830, 53997, 54828, 50967, 72481, 63830, 54439, 50967, 72481, 50876, 59067, 51214, 56135, 51215, 50906, 51215, 50876, 67702, 51085, 67957, 51175, 50906, 51175, 50876, 51175, 60963, 50806, 51841, 56294, 51167, 50906, 51167, 50876, 72882, 51247, 52370, 50285, 56346, 51214, 52370, 50287, 73796, 51379, 50906, 51379, 50876, 51379, 50432, 51841, 52362, 50284, 58395, 52206, 68188, 51354, 50906, 51354, 50876, 51354, 56222, 51354, 50906, 51354, 50876, 51354, 55881, 53531, 50309, 51009, 50877, 54107, 51120, 53531, 50314, 61287, 51234, 76932, 56827, 51197, 53531, 50309, 60169, 50824, 54868, 53531, 50309, 53531, 50314, 62945, 51234, 76932, 58395, 51050, 70362, 51009, 50973, 54145, 51315, 53531, 50316, 51054, 53997, 71283, 57078, 51050, 70362, 51527, 50973, 61287, 51315, 53531, 50316, 61860, 51085, 71283, 50923, 54795, 53531, 50299, 73523, 51009, 51028, 54107, 51247, 53531, 50297, 53531, 50318, 61287, 51841, 51215, 51315, 51215, 50877, 63681, 67734, 55149, 51799, 51175, 51120, 51175, 50877, 68550, 72945, 50893, 75697, 53531, 50293, 73523, 51527, 50968, 53531, 50323, 62945, 51799, 52530, 50294, 52530, 50318, 72117, 59306, 68077, 60110, 50902, 51798, 51214, 50918, 51026, 71651, 72778, 54578, 56831, 52910, 51214, 68518, 59153, 60939, 50807, 50431, 50634, 50435, 50633, 50438, 52206, 70928, 60998, 55695, 68647, 70873, 50630, 50449, 50628, 50454, 50627, 50458, 50626, 50461, 50951, 50818, 63515, 50931, 52115, 50968, 51631, 51050, 56645, 51646, 50871, 70897, 50967, 50876, 58647, 51085, 59006, 70897, 78022, 54197, 59006, 70897, 78022, 53645, 51215, 50877, 51215, 50876, 51215, 62275, 64674, 51175, 50877, 51175, 50876, 67876, 51050, 64110, 51167, 50877, 51167, 50876, 51167, 55547, 50806, 51279, 57926, 51167, 50877, 51167, 50876, 72882, 51234, 52370, 50290, 56346, 51085, 52370, 50292, 76648, 51379, 50877, 51379, 50876, 51379, 50432, 51279, 52362, 50289, 58395, 51247, 53531, 50309, 73523, 53531, 50316, 51054, 56415, 73523, 53531, 50316, 51054, 50461, 50999, 50818, 56807, 52115, 51114, 51631, 51085, 57022, 51646, 50861, 50967, 72481, 50876, 58647, 51214, 54828, 50967, 72481, 63830, 53997, 54828, 50967, 72481, 63830, 54439, 50967, 72481, 50876, 59067, 51214, 56135, 51215, 50906, 51215, 50876, 67702, 51085, 67957, 51175, 50906, 51175, 50876, 51175, 60963, 50806, 51841, 56294, 51167, 50906, 51167, 50876, 72882, 51247, 52370, 50285, 56346, 51214, 52370, 50287, 73796, 51379, 50906, 51379, 50876, 51379, 50432, 51841, 52362, 50284, 58395, 52206, 68188, 51354, 50906, 51354, 50876, 51354, 56222, 51354, 50906, 51354, 50876, 51354, 55881, 53531, 50309, 51009, 50877, 54107, 51120, 53531, 50314, 61287, 51234, 76932, 56827, 51197, 53531, 50309, 60169, 50824, 54868, 53531, 50309, 53531, 50314, 62945, 51234, 76932, 58395, 51050, 70362, 51009, 50973, 54145, 51315, 53531, 50316, 51054, 53997, 71283, 57078, 51050, 70362, 51527, 50973, 61287, 51315, 53531, 50316, 61860, 51085, 71283, 50923, 54795, 53531, 50299, 73523, 51009, 51028, 54107, 51247, 53531, 50297, 53531, 50318, 61287, 51841, 51215, 51315, 51215, 50877, 63681, 67734, 55149, 51799, 51175, 51120, 51175, 50877, 68550, 72945, 50893, 75697, 53531, 50293, 73523, 51527, 50968, 53531, 50323, 62945, 51799, 52530, 50294, 52530, 50318, 72117, 59306, 68077, 60110, 50902, 51798, 51214, 50918, 51026, 71651, 72778, 54578, 56831, 52910, 51214, 68518, 59153, 60939, 50807, 50431, 50634, 50435, 50633, 50438, 52206, 70928, 60998, 55695, 68647, 70873, 50630, 50449, 50628, 50454, 50627, 50458, 50626, 50461, 50973, 50818, 63515, 50876, 52910, 51085, 58035, 56730, 78022, 50951, 59067, 72481, 63830, 50951, 58647, 50916, 56730, 78022, 63064, 54594, 56730, 78022, 50951, 59204, 50906, 51215, 50876, 51215, 50951, 51215, 59419, 67782, 51175, 50876, 51175, 50951, 51175, 55895, 61505, 51167, 50876, 51167, 50951, 51167, 54955, 76559, 51379, 50876, 51379, 50951, 51379, 60284, 56346, 51315, 52362, 50314, 51354, 50876, 51354, 50951, 75123, 51120, 51646, 51085, 52362, 50314, 51354, 50876, 51354, 50951, 51354, 65851, 51354, 50876, 51354, 50951, 51354, 50461, 50973, 50818, 54960, 52910, 68077, 54666, 50967, 66002, 50999, 59067, 63830, 66002, 50999, 58647, 51027, 54666, 50967, 66002, 67986, 53975, 54666, 50967, 66002, 67986, 56546, 50967, 66002, 67986, 55898, 54666, 50967, 66002, 50999, 58647, 50956, 57253, 51215, 50931, 51215, 50999, 51215, 53975, 63837, 51175, 50931, 51175, 50999, 51175, 56363, 52247, 51027, 71228, 51379, 50931, 51379, 50999, 51379, 71341, 55122, 51050, 53531, 50316, 51354, 50931, 51354, 50999, 75500, 50876, 51354, 50931, 51354, 50999, 51354, 55881, 53531, 50307, 53531, 50321, 63378, 52038, 51120, 51527, 50899, 51527, 50931, 51527, 51081, 61287, 51146, 61860, 51197, 53531, 50307, 53531, 50321, 70036, 50824, 54868, 51527, 50899, 51527, 50931, 51527, 51081, 62945, 51146, 61287, 51050, 53531, 50309, 53531, 50323, 50824, 51220, 54145, 51315, 51527, 50916, 51527, 50951, 51527, 51062, 51054, 76502, 51054, 60643, 53531, 50309, 53531, 50323, 50824, 51220, 53663, 51315, 51527, 50916, 51527, 50951, 51527, 51062, 61860, 51430, 51054, 54662, 74940, 73301, 50802, 51430, 52038, 51279, 62075, 64244, 77277, 52125, 51214, 66371, 64244, 50802, 51430, 50802, 51487, 52175, 51247, 63861, 64244, 77277, 50802, 51814, 50802, 60963, 50824, 51315, 73301, 51009, 51487, 50824, 52052, 54107, 51247, 50824, 51050, 50824, 51339, 50824, 51814, 53663, 51234, 52362, 50302, 52362, 50326, 52362, 50335, 56827, 51085, 51527, 50900, 51527, 50999, 53531, 50333, 51054, 60820, 53531, 50335, 51054, 50419, 50635, 50423, 50633, 70161, 73725, 52362, 50323, 52362, 50332, 50923, 50428, 50632, 50432, 50631, 50437, 50630, 50438, 51247, 52362, 50297, 52362, 50325, 53531, 50333, 51054, 50442, 50629, 50446, 50628, 50451, 50627, 50456, 50626, 50460, 50625, 50461, 50973, 50818, 63515, 50876, 52910, 51085, 58035, 56730, 78022, 50951, 59067, 72481, 63830, 50951, 58647, 50916, 56730, 78022, 63064, 54594, 56730, 78022, 50951, 59204, 50906, 51215, 50876, 51215, 50951, 51215, 59419, 67782, 51175, 50876, 51175, 50951, 51175, 55895, 61505, 51167, 50876, 51167, 50951, 51167, 54955, 76559, 51379, 50876, 51379, 50951, 51379, 60284, 56346, 51315, 52362, 50314, 51354, 50876, 51354, 50951, 75123, 51120, 51646, 51085, 52362, 50314, 51354, 50876, 51354, 50951, 51354, 65851, 51354, 50876, 51354, 50951, 51354, 50461, 50973, 50818, 54960, 52910, 68077, 54666, 50967, 66002, 50999, 59067, 63830, 66002, 50999, 58647, 51027, 54666, 50967, 66002, 67986, 53975, 54666, 50967, 66002, 67986, 56546, 50967, 66002 ]

[ 0, 250, 15352, 30054, 8, 14899, 5175, 3495, 2214, 4246, 2382, 3459, 8669, 6, 21072, 6, 32909, 6, 21979, 9590, 6, 8, 38668, 3038, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 13955, 163, 5683, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 8, 274, 6, 61, 7230, 5705, 1328, 5, 2125, 6, 2351, 10, 33200, 8, 10132, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 51809, 51793, 50824, 51140, 62592, 57639, 50365, 51367, 55712, 51030, 50419, 50920, 50978, 50422, 65144, 50855, 71859, 50855, 76052, 54800, 50955, 50425, 50920, 51470, 59493, 79695, 52699, 51233, 50434, 65144, 50813, 71859, 50862, 76052, 53309, 52823, 51481, 50440, 53240, 51141, 51216, 70353, 52699, 51797, 50446, 65144, 50813, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 58514, 52699, 53726, 50458, 65144, 50836, 71859, 50840, 66051, 50839, 76052, 54800, 53161, 51809, 54021, 51761, 51261, 51448, 50801, 52699, 51058, 50419, 50920, 75570, 68558, 50855, 73872, 50862, 76052, 54940, 51277, 59493, 58514, 53914, 51051, 51889, 69544, 50920, 51174, 50434, 68558, 50829, 73872, 50820, 76052, 54036, 57654, 51642, 51889, 57892, 51889, 68017, 54021, 51286, 51261, 51221, 50920, 51194, 50446, 68558, 50820, 73872, 50839, 76052, 50375, 53830, 50921, 50920, 52482, 51889, 60902, 50610, 51365, 50452, 53691, 51286, 51150, 72827, 79695, 52699, 51242, 50458, 68558, 50846, 71859, 50828, 76052, 52786, 50897, 59951, 58112, 50599, 63604, 50920, 51470, 51809, 51793, 51059, 51140, 70353, 52699, 51470, 50419, 50920, 51470, 50422, 65144, 50840, 71859, 50887, 76052, 55004, 51008, 50425, 50920, 51058, 59493, 58514, 53914, 52482, 50434, 65144, 50836, 71859, 50840, 76052, 53933, 52823, 51481, 50440, 53240, 51029, 51216, 70353, 73168, 51797, 50446, 65144, 50841, 71859, 50840, 66051, 50825, 76052, 55692, 51753, 57857, 79695, 52699, 53726, 50458, 65144, 50809, 71859, 50809, 66051, 50836, 76052, 52786, 53161, 51809, 54021, 51541, 51261, 70353, 52699, 51058, 50419, 50920, 51470, 50422, 68558, 50840, 73872, 50809, 76052, 55692, 51753, 59493, 53127, 51008, 51383, 58221, 50920, 62727, 68558, 50836, 73872, 50846, 76052, 53959, 57654, 51797, 50440, 54021, 51235, 51261, 51056, 52834, 54591, 51194, 59951, 51142, 50446, 68558, 50836, 73872, 50840, 76052, 55692, 52482, 50452, 51150, 51178, 53691, 74050, 56691, 51242, 51383, 56575, 68558, 50887, 71859, 50809, 76052, 55004, 51051, 50461, 50920, 50977, 51809, 51793, 50824, 51140, 70353, 53914, 51030, 50419, 50920, 50978, 50422, 65144, 50855, 76052, 50813, 71859, 55150, 50955, 50425, 50920, 51365, 59493, 58514, 52699, 51233, 50434, 65144, 50813, 71859, 50862, 76052, 53309, 52823, 51481, 50440, 53240, 51141, 51216, 70353, 52699, 51797, 50446, 65144, 50813, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 79695, 52699, 53726, 50458, 65144, 50836, 71859, 50840, 66051, 50862, 76052, 54800, 52518, 51809, 54021, 51761, 51261, 51448, 50801, 52699, 51058, 50419, 50920, 75570, 68558, 50841, 73872, 50839, 76052, 54940, 51309, 59493, 50381, 53047, 53914, 51051, 51383, 58221, 50920, 51174, 50434, 68558, 50867, 73872, 50820, 76052, 54036, 57654, 51642, 51889, 59701, 51889, 62968, 54021, 51286, 51261, 51221, 50920, 51194, 50446, 68558, 50813, 73872, 50839, 76052, 50375, 53830, 50921, 50920, 52482, 51889, 58112, 50610, 51365, 50452, 53691, 51286, 51150, 72827, 56691, 51242, 51383, 56575, 68558, 50840, 71859, 50828, 76052, 50379, 53290, 54591, 50897, 59951, 51365, 50461, 50920, 51470, 51809, 51793, 51059, 51140, 70353, 52699, 51166, 50419, 50920, 51470, 50422, 65144, 50840, 71859, 50887, 76052, 55004, 51058, 50425, 50920, 51058, 59493, 58514, 53914, 52482, 50434, 65144, 50836, 71859, 50840, 76052, 53933, 52823, 51481, 50440, 53240, 51029, 51216, 64286, 73168, 51797, 50446, 65144, 50841, 71859, 50840, 66051, 50825, 76052, 55692, 51797, 57857, 53127, 53726, 51383, 56575, 65144, 50809, 71859, 50809, 66051, 50836, 76052, 55150, 53161, 51809, 54021, 51541, 51261, 70353, 52699, 51058, 50419, 50920, 51470, 50422, 68558, 50840, 73872, 50809, 76052, 55692, 51753, 59493, 56691, 51008, 51383, 58221, 50920, 51006, 50434, 68558, 50836, 73872, 50846, 76052, 53959, 57654, 51797, 50440, 54021, 51235, 51261, 51056, 52834, 54591, 51194, 59951, 51142, 50446, 68558, 50828, 73872, 50846, 76052, 55692, 52482, 50452, 51150, 51178, 53691, 74050, 79695, 52699, 51337, 50458, 68558, 50887, 71859, 50809, 76052, 55004, 51051, 50461, 50920, 50977, 51809, 51793, 50824, 51140, 62592, 53914, 51030, 50419, 50920, 50978, 50422, 65144, 50855, 71859, 50855, 76052, 54800, 50987, 50425, 50920, 51470, 59493, 58514, 52699, 51233, 50434, 65144, 50820, 71859, 50839, 76052, 53309, 52823, 51481, 50440, 53240, 51141, 51216, 70353, 73168, 51797, 50446, 65144, 50820, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 58514, 52699, 53726, 50458, 65144, 50836, 71859, 50840, 66051, 50862, 76052, 54800, 53161, 51809, 54021, 51761, 51261, 51448, 50801, 53914, 51058, 50419, 50920, 75570, 68558, 50855, 73872, 50862, 76052, 54940, 51309, 59493, 58514, 53914, 51051, 51889, 58221, 50920, 51174, 50434, 68558, 50829, 73872, 50820, 76052, 54036, 57654, 51642, 51889, 57352, 51889, 62968, 54021, 51286, 51261, 51377, 50920, 51194, 50446, 68558, 50820, 73872, 50839, 76052, 50375, 53047, 56685, 52482, 59951, 51365, 52834, 50921, 50452, 53691, 51286, 51150, 72827, 79695, 52699, 51242, 50458, 68558, 50846, 71859, 50836, 76052, 55150, 50897, 59951, 58112, 50599, 63604, 50920, 51470, 51809, 51389, 51417, 51389, 51300, 51390, 51300, 51893, 71833, 53914, 51470, 50419, 50920, 51470, 50422, 65144, 50840, 71859, 50887, 76052, 55004, 51008, 50425, 50920, 51058, 59493, 58514, 53914, 52482, 50434, 65144, 50836, 71859, 50840, 76052, 53933, 52823, 51481, 50440, 51216, 51417, 51216, 51300, 51334, 51343, 51924, 73503, 52699, 51797, 50446, 65144, 50841, 71859, 50840, 66051, 50825, 76052, 55692, 51797, 57857, 58514, 52699, 53726, 50458, 71859, 50818, 65144, 50818, 66051, 50828, 76052, 52786, 52518, 51809, 51261, 51300, 51261, 51749, 51408, 54344, 51390, 54344, 50801, 53914, 51058, 50419, 50920, 51470, 50422, 68558, 50840, 73872, 50809, 76052, 55692, 51753, 59493, 79695, 53914, 51008, 50431, 50920, 62727, 68558, 50836, 73872, 50846, 76052, 53959, 57654, 51797, 50440, 51261, 51400, 51261, 51237, 52834, 50921, 50920, 51194, 59951, 51142, 50446, 68558, 50836, 73872, 50840, 76052, 55692, 52482, 50452, 51150, 51576, 51150, 75270, 56691, 51242, 51383, 56575, 68558, 50887, 71859, 50809, 76052, 55004, 51051, 50461, 50920, 50977, 51809, 51389, 51127, 51389, 51009, 51390, 51300, 51893, 71833, 53914, 51166, 50419, 50920, 51470, 50422, 65144, 50855, 71859, 50855, 76052, 54800, 51008, 50425, 50920, 51008, 59493, 58514, 52699, 52482, 50434, 65144, 50820, 71859, 50839, 76052, 53309, 52823, 51642, 50440, 51216, 51300, 51216, 51127, 51334, 51637, 51924, 51637, 50801, 52699, 51797, 50446, 65144, 50820, 71859, 50862, 66051, 50867, 76052, 54608, 51797, 57857, 56691, 53726, 51383, 56575, 65144, 50836, 71859, 50840, 66051, 50862, 76052, 50813, 51390, 50873, 51893, 72732, 52518, 51809, 51261, 51417, 51261, 71833, 52699, 51058, 50419, 50920, 51470, 50422, 68558, 50841, 73872, 50862, 76052, 54940, 51797, 59493, 79695, 52699, 51058, 50431, 50920, 51006, 50434, 68558, 50829, 73872, 50820, 76052, 54036, 57654, 51797, 50440, 51261, 51097, 51261, 51016, 50920, 51194, 50446, 68558, 50820, 73872, 50862, 76052, 50375, 53830, 62297, 52482, 59951, 51033, 50452, 51150, 51178, 51150, 57432, 79695, 52699, 51337, 50458, 68558, 50846, 71859, 50836, 76052, 50379, 53830, 62297, 51051, 59951, 51033, 50461, 50920, 50977, 51809, 51793, 50824, 51140 ]

[ 0, 250, 33928, 8, 19448, 5175, 3495, 2214, 4246, 41, 30062, 620, 7085, 12280, 642, 8, 2382, 3459, 8669, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24826, 198, 5, 40286, 381, 6, 163, 6, 8, 83, 6, 2351, 10, 15352, 30054, 8, 11653, 5466, 11, 42, 765, 2125, 14, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 54361, 50802, 53260, 50802, 53436, 50802, 56976, 50802, 55039, 51009, 53748, 57214, 54361, 52038, 53260, 52030, 56976, 52125, 54029, 50802, 53260, 50802, 54740, 50802, 55554, 50802, 56837, 57310, 54029, 52175, 53260, 52325, 55554, 50802, 50799, 52890, 50802, 52697, 50802, 54895, 50802, 53436, 50802, 53472, 57214, 52890, 52038, 52697, 52030, 53436, 52125, 52890, 51072, 52697, 51072, 54895, 51072, 53436, 51072, 61534, 51009, 53748, 70851, 54029, 51072, 55554, 51072, 50799, 54361, 50802, 53260, 50802, 53436, 50802, 56976, 50802, 55039, 57214, 54361, 52038, 53260, 52030, 56976, 52125, 54029, 50802, 53260, 50802, 54740, 50802, 55554, 50802, 56837, 57310, 54029, 52175, 53260, 52325, 55554, 50802, 50799, 52890, 50802, 52697, 50802, 54895, 50802, 53436, 50802, 53472, 57214, 52890, 52038, 52697, 52030, 53436, 52125, 52890, 51072, 52697, 51072, 53436, 51072, 61534, 51009, 53748, 70851, 54740, 52325, 54895, 50802, 50799, 55039, 51009, 53748, 51009, 52890, 51009, 54361, 51009, 53260, 57214, 51385, 52038, 51385, 52030, 51385, 52125, 56837, 51009, 53748, 51009, 54757, 51009, 54029, 51009, 53260, 51009, 51208, 68174, 51385, 50802, 50799, 60131, 51009, 53472, 51009, 55052, 51009, 52890, 51009, 51185, 52410, 51385, 52038, 51023, 52030, 51268, 52125, 61534, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51023, 52313, 51208, 52175, 53748, 51072, 54757, 51072, 54029, 51072, 51208, 51072, 50799, 55039, 51009, 53748, 51009, 52890, 51009, 54361, 51009, 53260, 57214, 51385, 52038, 51385, 52030, 51385, 52125, 54757, 51072, 54029, 51072, 53260, 51072, 56837, 51009, 53748, 51009, 51208, 63758, 54361, 64531, 51385, 50802, 50799, 60131, 51009, 53472, 51009, 55052, 51009, 52890, 51009, 51185, 52410, 51385, 52038, 51023, 52030, 51208, 52125, 61534, 51072, 53748, 51072, 54757, 51072, 54029, 51072, 51208, 70851, 53748, 51072, 53260, 51072, 50799, 55039, 51072, 53748, 51072, 52890, 51072, 54361, 64948, 51385, 52038, 53748, 50802, 52890, 51072, 54361, 51072, 51385, 52030, 55039, 50802, 51385, 52125, 59862, 51072, 53748, 51072, 54757, 51072, 54029, 51072, 51208, 65027, 53748, 50802, 54757, 51072, 54029, 64531, 59862, 50802, 51385, 50802, 50799, 53472, 51072, 53118, 51072, 52890, 51072, 51023, 61874, 53472, 51072, 53118, 51072, 52890, 65031, 53472, 51072, 53118, 51072, 52890, 63758, 53472, 51072, 53118, 51072, 52890, 51072, 51023, 52325, 51403, 50802, 50799, 53260, 50802, 61534, 51184, 51403, 54217, 50420, 54029, 52038, 52697, 52030, 53260, 63757, 54029, 52175, 52697, 52325, 53260, 50802, 50799, 53260, 50802, 53748, 61912, 54029, 52038, 52697, 52030, 53260, 63757, 54029, 52175, 52697, 52325, 53260, 50802, 51023, 50802, 50799, 55039, 51072, 53748, 51072, 52890, 51072, 54361, 51072, 53260, 51072, 51385, 63398, 52890, 51072, 54361, 51072, 53260, 64414, 55039, 50802, 51385, 52125, 56837, 51072, 53748, 51072, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 65027, 53748, 50802, 54757, 51072, 54029, 51072, 53260, 64531, 56837, 50802, 51385, 50802, 50799, 60131, 51072, 55039, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51185, 66489, 53472, 50802, 55052, 51072, 52890, 51072, 51385, 52030, 60131, 50802, 51023, 52125, 61534, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51023, 52313, 51208, 52175, 53472, 50802, 55052, 51072, 52890, 51072, 51208, 52325, 61534, 50802, 51023, 50802, 50799, 70563, 51072, 55039, 51072, 52890, 51072, 54361, 51072, 53260, 51072, 51385, 63398, 55039, 50802, 52890, 51072, 54361, 51072, 53260, 64414, 70563, 50802, 51385, 52125, 50697, 50293, 51072, 56837, 51072, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 65027, 56837, 50802, 54757, 51072, 54029, 51072, 53260, 64531, 50697, 50293, 50802, 51385, 50802, 50799, 60131, 51072, 53472, 51072, 55052, 51072, 52890, 51072, 51185, 52410, 51385, 66489, 53472, 50802, 55052, 51072, 52890, 64414, 60131, 50802, 51023, 52125, 61534, 50802, 53472, 50802, 54757, 51072, 54029, 51072, 51208, 57310, 53472, 52175, 53472, 50802, 54029, 64531, 61534, 50802, 50799, 70563, 51072, 55039, 51072, 52890, 51072, 54361, 51072, 53260, 64948, 51385, 52038, 55039, 50802, 52890, 51072, 54361, 51072, 53260, 51072, 51385, 52030, 70563, 50802, 51385, 52125, 50697, 50293, 51072, 56837, 51072, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 63758, 56837, 50802, 54757, 51072, 54029, 51072, 53260, 51072, 51208, 52325, 50697, 50293, 50802, 51385, 50802, 50799, 53472, 50802, 53748, 50802, 53118, 51072, 52890, 51072, 51023, 52410, 55039, 50802, 51023, 60625, 53748, 51072, 53118, 51072, 52890, 65031, 53748, 50802, 53118, 51072, 52890, 63757, 53472, 50802, 51023, 52175, 53748, 50802, 53118, 51072, 52890, 51072, 51023, 52325, 53472, 50802, 51403, 50802, 50799, 61534, 50802, 53260, 51072, 55802, 51072, 51403, 52737, 50420, 57215, 52038, 53472, 50802, 53260, 51072, 55802, 64414, 53748, 58769, 53260, 51072, 55802, 63758, 53260, 51072, 55802, 64531, 57215, 50802, 50799, 53260, 51072, 54740, 51072, 55554, 51072, 61534, 51184, 57215, 51184, 53748, 74899, 53260, 51072, 54740, 51072, 55554, 65031, 53260, 51072, 54740, 51072, 55554, 63758, 53260, 51072, 54740, 51072, 55554, 64531, 51385, 50802, 50799, 53472, 51009, 55052, 51009, 52890, 51009, 52697, 51009, 54895, 51009, 51185, 66489, 51385, 65031, 57215, 51009, 55052, 51009, 52890, 51009, 54029, 51009, 52697, 51009, 51023, 68174, 51385, 50802, 50799, 53472, 51009, 55052, 51009, 52890, 51009, 52697, 51009, 54895, 51009, 51185, 66489, 51385, 65031, 57215, 51009, 55052, 51009, 52890, 51009, 54029, 51009, 52697, 51009, 51208, 68174, 51385, 50802, 50799, 53472, 51009, 55052, 51009, 52890, 51009, 52697, 51009, 54895, 51009, 51185, 66489, 51385, 65031, 57215, 51009, 55052, 51009, 52890, 51352, 54029, 51352, 52697, 51352, 51023, 51184, 50799, 61534, 52410, 59862, 52038, 57215, 52030, 53748, 73018, 54029, 51009, 51023, 51009, 58106, 55039, 51184, 53748, 51184, 52890, 51184, 54361, 51184, 51023, 51184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 5175, 3495, 2214, 4246, 38668, 20535, 6, 13305, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 10, 1769, 204, 73, 306, 86, 6543, 8, 5, 762, 9, 274, 538, 6, 7630, 14805, 6453, 9, 11098, 6, 1007, 6, 8, 10563, 149, 63, 15352, 30054, 15229, 8, 2365, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 50796, 50796, 52354, 51226, 51497, 51191, 51323, 51233, 52106, 50981, 51479, 75179, 72086, 55229, 52856, 50870, 51593, 50825, 51323, 56450, 50898, 52942, 64124, 58167, 51205, 51111, 50437, 52856, 53040, 51323, 50835, 51593, 51464, 53675, 51479, 53671, 59587, 50964, 65223, 51323, 50825, 52856, 50834, 51593, 53754, 51695, 52193, 51105, 51541, 51497, 51191, 51593, 51351, 52106, 51115, 59194, 65703, 75179, 72086, 69356, 51323, 50941, 51593, 52712, 52856, 54946, 50898, 52942, 64124, 58167, 51205, 73835, 51323, 50835, 51593, 50820, 52856, 51464, 53675, 51479, 53671, 59587, 61415, 50449, 51323, 50825, 52856, 52725, 51593, 53396, 51695, 57859, 51105, 51362, 50456, 51593, 51391, 52106, 51310, 51497, 51141, 59194, 65703, 75179, 72086, 55229, 51593, 50825, 51323, 50863, 52856, 56533, 50898, 52942, 64124, 58167, 51205, 51060, 50437, 51323, 50837, 52856, 53891, 51593, 51464, 53675, 50964, 51111, 51479, 53671, 58977, 51323, 50825, 51593, 50834, 52856, 50834, 51899, 51695, 57859, 51105, 51364, 51497, 51204, 51593, 51391, 50456, 52106, 51318, 59194, 65703, 75179, 72086, 69356, 51593, 50886, 52856, 50904, 51323, 50863, 59158, 52942, 64124, 58167, 51205, 51095, 50437, 51323, 50837, 52856, 52621, 51593, 51833, 53675, 51479, 53671, 59587, 50964, 51095, 50449, 51485, 50823, 51323, 50837, 51593, 50820, 52856, 50834, 51899, 51695, 57859, 51509, 54178, 61049, 59194, 50799, 52067, 50860, 50945, 51226, 51497, 51191, 51323, 51233, 52106, 50981, 51479, 75179, 72086, 70394, 52067, 61874, 52856, 50870, 51593, 50825, 51323, 50891, 50999, 52369, 51405, 52362, 50328, 52097, 51339, 52369, 53316, 52942, 52265, 51405, 62621, 58167, 51205, 51111, 50437, 52856, 53040, 51323, 50835, 51593, 50834, 51405, 53065, 63895, 51405, 55434, 51479, 53671, 59587, 50964, 51111, 51405, 53528, 51062, 66185, 51405, 54105, 51323, 50825, 52856, 50834, 51593, 50839, 51062, 55296, 51695, 56721, 51405, 57186, 51062, 59699, 51405, 64833, 51430, 53017, 51105, 51541, 51497, 51189, 51593, 51351, 52106, 51134, 51062, 55642, 51636, 50458, 51405, 56551, 51062, 61243, 51405, 50857, 65703, 75179, 72086, 69356, 51323, 50941, 51593, 52712, 52856, 54946, 50898, 52942, 64124, 58167, 51205, 73835, 51323, 50835, 51593, 50820, 52856, 51464, 53675, 51479, 53671, 59587, 61415, 50449, 51323, 50825, 52856, 52725, 51593, 53396, 51695, 57859, 51105, 51362, 52608, 58954, 51593, 51391, 52106, 51310, 51497, 51141, 51479, 56912, 51978, 50823, 65703, 75179, 72086, 69356, 51062, 51460, 50999, 52369, 51405, 51603, 51339, 52266, 50426, 51593, 50825, 51323, 50863, 52856, 56533, 50898, 52942, 64124, 58167, 51205, 51060, 50435, 51062, 50974, 50437, 51323, 50837, 52856, 51537, 50331, 54927, 51641, 50860, 51593, 51464, 67268, 51405, 61173, 51062, 68937, 51509, 50894, 51405, 54394, 50964, 51111, 51062, 58011, 50898, 53671, 56877, 51405, 50838, 50448, 51062, 58914, 51509, 50823, 51323, 50825, 51593, 50834, 52856, 50834, 51899, 51695, 56721, 51062, 57186, 51405, 51484, 50454, 51062, 62356, 51641, 50950, 51105, 51364, 51497, 51141, 51593, 51391, 50456, 52106, 51419, 51479, 57895, 51062, 67163, 52067, 51761, 65703, 75179, 72086, 69356, 51593, 50886, 52856, 50904, 51323, 50863, 59158, 52942, 58976, 51641, 51014, 51361, 58167, 51205, 51095, 50437, 79430, 51323, 50837, 52856, 52621, 51593, 51833, 61194, 51509, 56059, 51479, 53671, 59587, 50964, 51095, 50449, 51323, 50837, 51593, 50820, 52856, 50834, 51899, 51695, 57859, 52608, 52325, 51509, 51352, 61049, 51479, 56912, 51978, 50803, 52354, 51226, 51497, 51191, 51323, 51233, 52106, 50981, 51479, 75179, 72086, 55229, 52856, 50870, 51593, 50825, 51323, 50891, 51405, 51014, 50999, 52369, 51062, 51460, 51339, 52369, 53316, 52942, 56973, 51430, 56999, 51405, 51058, 51361, 58167, 51205, 51111, 50436, 51062, 51174, 50437, 52856, 53040, 51323, 50835, 51593, 50834, 51405, 51627, 50791, 63895, 51062, 54653, 51479, 53671, 59587, 50964, 51111, 51062, 65311, 51062, 75589, 51323, 50825, 52856, 50834, 51593, 53754, 51695, 52193, 51105, 51541, 51497, 51189, 51593, 51351, 52106, 51134, 59194, 65703, 75179, 72086, 69356, 51323, 50941, 51593, 52712, 52856, 54946, 50898, 52942, 64124, 58167, 51205, 73835, 51323, 50835, 51593, 50820, 52856, 51464, 53675, 51479, 53671, 59587, 61415, 50449, 51323, 50825, 52856, 52725, 51593, 53396, 51695, 57859, 51105, 51362, 52608, 59315, 51593, 51391, 52106, 51310, 51497, 51141, 59194, 50799, 51978, 50823, 51479, 75179, 72086, 69356, 50999, 53435, 51062, 51603, 51405, 53531, 50333, 53435, 51430, 52639, 51593, 50825, 51323, 50863, 52856, 56533, 51392, 52942, 64124, 58167, 51205, 51060, 50435, 51062, 51074, 50437, 51323, 50837, 52856, 51537, 50331, 54927, 51593, 51464, 67268, 51405, 67552, 51062, 64101, 51405, 54947, 50964, 51111, 51479, 53671, 59587, 51062, 56317, 51405, 50838, 50448, 51062, 63155, 51323, 50825, 51593, 50834, 52856, 50834, 51899, 59976, 50452, 51062, 58759, 51405, 68927, 51105, 51364, 51497, 51141, 51593, 51391, 51062, 54232, 52106, 51419, 51479, 56995, 51062, 72486, 51405, 50827, 65703, 75179, 72086, 69356, 51593, 50886, 52856, 50904, 51323, 50863, 59158, 52942, 64124, 58167, 51205, 51095, 50436, 52629, 57880, 51323, 50837, 52856, 52621, 51593, 51833, 61194, 52629, 63189, 51479, 53671, 59587, 50964, 51095, 50449, 51323, 50837, 51593, 50820, 52856, 50834, 51899, 51695, 57859, 51839, 51351, 53468, 51241, 51478, 51351, 56404, 58954, 61049, 51479, 56912, 52336, 50860, 53628, 50823, 53596, 51091, 51479, 75179, 72808, 52264, 50921, 51039, 75564, 51509, 57615, 51839, 50834, 53824, 50855, 78602, 52942, 56973, 51081, 52121, 51146, 51717, 51339, 52122, 52128, 51801, 50431, 51509, 52030, 51105, 52201, 57776, 51839, 50867, 53824, 50862, 51570, 63895, 52264, 63189, 75414, 51479, 53671, 52568, 51839, 50867, 53824, 55459, 51695, 57859, 51325, 50879, 51839, 51419, 53468, 51241, 51478, 51134, 50456, 51479, 56912, 51186, 51241, 65703, 75179, 72086, 69356, 51839, 53803, 53824, 55459, 50898, 52942, 52265, 51105, 56022, 57776, 51839, 50857, 53824, 50813, 51570, 53675, 61269, 51479, 53671, 58977, 51839, 50835, 53824, 50855, 51899, 51695, 57859, 51839, 51419, 51478, 51134, 53468, 51351, 56404, 58954, 66195, 51479, 56912, 51186, 50943, 53628, 51045, 65703, 50949, 51402, 72086, 55229, 52264, 50823, 51839, 50867, 53824, 54690, 51392, 52942, 58976, 52336, 68981, 51105, 52808, 52676, 52336, 50823, 51839, 50904, 53824, 51559, 61194, 52264, 77762, 61269, 51479, 53671, 52568, 52629, 51300, 53824, 50855, 51839, 53396, 51695, 57859, 51839, 51419, 53468, 51351, 51478, 51391, 50456, 51325, 51158, 59194, 54516, 50943, 51479, 75179, 72086, 69356, 51509, 51973, 51839, 50886, 53824, 55459, 50898, 52942, 58976, 51509, 80130, 58167, 50927, 51060, 50437, 51509, 52952, 51839, 50864, 53824, 51559, 53675, 51509, 50802, 51479, 53671, 59587, 51105, 52596, 53824, 50862, 51839, 54327, 51695, 52193, 51509, 51352, 56574, 52106, 51115, 51497, 51351, 51593, 51134, 59194, 65703, 58842, 50945, 51003, 51402, 72086, 55229, 51323, 50857, 52856, 66340, 52369, 51062, 53531, 50331, 53318, 50333, 52369, 53316, 52942, 58976, 51405, 52739, 51205, 53710, 56987, 51405, 54728, 51323, 50904, 52856, 50834, 51405, 54220, 59575, 51062, 63231, 51405, 67552, 51062, 54758, 61415, 51405, 56081, 50898, 53671, 59587 ]

[ 0, 250, 20902, 3495, 2214, 11, 211, 538, 6, 4246, 10, 13305, 14, 1974, 20425, 8, 15352, 30054, 2301, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 590, 10, 20889, 9, 18461, 13410, 228, 2289, 6, 4760, 25, 12447, 1001, 6, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 8, 272, 4, 20, 15229, 18, 13428, 23645, 27459, 2397, 6, 442, 24, 10, 455, 12, 16096, 2214, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51026, 51592, 50951, 50933, 50418, 51114, 59329, 50968, 55656, 50902, 68858, 50968, 62727, 51114, 56180, 50951, 70430, 51114, 62565, 50968, 55514, 51026, 51592, 50902, 72921, 50968, 65897, 51114, 50933, 56807, 50933, 50418, 51114, 64987, 50968, 55656, 50902, 68858, 50968, 62727, 51114, 56180, 51026, 51080, 50951, 70430, 51114, 62565, 50968, 55514, 50902, 50932, 56310, 51592, 76604, 50418, 50951, 64987, 51114, 55656, 50968, 68858, 51114, 62727, 50951, 56180, 50999, 70430, 50951, 62565, 51114, 55514, 51027, 51592, 50968, 72921, 51114, 65897, 50951, 50933, 58479, 50933, 50418, 50951, 64987, 51114, 55656, 50968, 68858, 51114, 62727, 50951, 50933, 55898, 51080, 51114, 70430, 50951, 62565, 51147, 55514, 50999, 50932, 53975, 51517, 50332, 50933, 50418, 51787, 64987, 51487, 55656, 51027, 74616, 68858, 51146, 62727, 51430, 56180, 51086, 51517, 50330, 70430, 51430, 62565, 51787, 55514, 51026, 51517, 50327, 72921, 51062, 65897, 51146, 50933, 56310, 74616, 50933, 50418, 51146, 64987, 51430, 55656, 51378, 70453, 68858, 51220, 62727, 51062, 56180, 51026, 51517, 50327, 70430, 51062, 62565, 51146, 55514, 51315, 65300, 72921, 50999, 65897, 51220, 50933, 54868, 53233, 76604, 50418, 51147, 64987, 50951, 55656, 51114, 68858, 50931, 62727, 50968, 56180, 51001, 70430, 50902, 62565, 51028, 55514, 64304, 50454, 50973, 65897, 67695, 54852, 54869, 51120, 54498, 51120, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51027, 59219, 51309, 65281, 56180, 51120, 51517, 50322, 51309, 50446, 51114, 55514, 51027, 62722, 51309, 50458, 76884, 53975, 58327, 54869, 51315, 58327, 51309, 50434, 72811, 55203, 65377, 51309, 50446, 50989, 54980, 51086, 50932, 50458, 58222, 56310, 59219, 67778, 51120, 54498, 51120, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51120, 59219, 51309, 65281, 56180, 51027, 51517, 50322, 54980, 51120, 62722, 51309, 50458, 76884, 56310, 58327, 51309, 68225, 55656, 51120, 70713, 51309, 50434, 50877, 56180, 51027, 69711, 54980, 51120, 59219, 50932, 54955, 58794, 51592, 56947, 54498, 51027, 54980, 51086, 50932, 53975, 62722, 50932, 53523, 62722, 51309, 50434, 50902, 56180, 51026, 58327, 70430, 50902, 62565, 50968, 55514, 51026, 60473, 50932, 56310, 59219, 51309, 50422, 50973, 55656, 51027, 65521, 51309, 50434, 50877, 56180, 51120, 60473, 54980, 51120, 50932, 56310, 62722, 54869, 51120, 60473, 54498, 51027, 59219, 51309, 50446, 50973, 55514, 51027, 65521, 51309, 50458, 61048, 54868, 60473, 67778, 51120, 54498, 50899, 54980, 51120, 50932, 53975, 62722, 50932, 53523, 60473, 54498, 50900, 58327, 54980, 50900, 50932, 54206, 59219, 50932, 53337, 51517, 50322, 51309, 50434, 50968, 50933, 55898, 60473, 51309, 79472, 55514, 50899, 60473, 51309, 50458, 64304, 54868, 54869, 77743, 50434, 50968, 56180, 50973, 51627, 50458, 61048, 54955, 58794, 67778, 51120, 54498, 51026, 54980, 51120, 50932, 54955, 65300, 51309, 50422, 50951, 55656, 51120, 51517, 50322, 51309, 50434, 51114, 56180, 51026, 62722, 51309, 79472, 55514, 51120, 60473, 51309, 50458, 76884, 54955, 62722, 51309, 50422, 50968, 55656, 51120, 51517, 50322, 51309, 50434, 51114, 56180, 51026, 65300, 54980, 51120, 65300, 72921, 51114, 65897, 50951, 50933, 56310, 70453, 51309, 50422, 50968, 55656, 51315, 62722, 54498, 51027, 70453, 51309, 79472, 55514, 51315, 62722, 50932, 56310, 62722, 51309, 50422, 51114, 55656, 51315, 65300, 51309, 50434, 50968, 56180, 51027, 70453, 54980, 51120, 50932, 54955, 65300, 51309, 50422, 50951, 55656, 51120, 51517, 50322, 51309, 50434, 51114, 56180, 51026, 62722, 51309, 79472, 55514, 51120, 60473, 51309, 50458, 50968, 50933, 54955, 51517, 50327, 51309, 50422, 51220, 55656, 51086, 51517, 50327, 68858, 50999, 62727, 51220, 50933, 55203, 74616, 51627, 50450, 51315, 50932, 50458, 50951, 50933, 56310, 62722, 51309, 50422, 51001, 55656, 51027, 62722, 51309, 50434, 50951, 56180, 51120, 51517, 50322, 51309, 50446, 50951, 55514, 51120, 77316, 54955, 65300, 67778, 51120, 54498, 51026, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51027, 59219, 51309, 65281, 56180, 51120, 51517, 50322, 51309, 50446, 51114, 55514, 51027, 62722, 51309, 50458, 76884, 53975, 58327, 54869, 51315, 58327, 51309, 50434, 72811, 55203, 65377, 51309, 50446, 50989, 54980, 51086, 50932, 50458, 58222, 56310, 59219, 67778, 51120, 54498, 51120, 51309, 50446, 51120, 55514, 51315, 51309, 50458, 51378, 50933, 54955, 63030, 51309, 64309, 55656, 51378, 58794, 51309, 50434, 50973, 56180, 51315, 62722, 51309, 50446, 50973, 55514, 51120, 60473, 50932, 54955, 60473, 51309, 50422, 50968, 55656, 51120, 60473, 51309, 50434, 50973, 56180, 51027, 58327, 51309, 50446, 50973, 55514, 51120, 59219, 50932, 56310, 65377, 51309, 50422, 50877, 55656, 51120, 59219, 51309, 65281, 56180, 51027, 51517, 50322, 54980, 51120, 62722, 51309, 50458, 76884, 56310, 58327, 51309, 68225, 55656, 51120, 70713, 51309, 50434, 50877, 56180, 51027, 69711, 54980, 51120, 59219, 50932, 54955, 58794, 51592, 56947, 54498, 51027, 54980, 51086, 50932, 53975, 62722, 50932, 53523, 62722, 51309, 50434, 50902, 56180, 51026, 58327, 70430, 50902, 62565, 50968, 55514, 51026, 60473, 50932, 56310, 59219, 51309, 50422, 50973, 55656, 51027, 65521, 51309, 50434, 50877, 56180, 51120, 60473, 54980, 51120, 50932, 56310, 62722, 54869, 51120, 60473, 54498, 51027, 59219, 51309, 50446, 50973, 55514, 51027, 65521, 51309, 50458, 61048, 54868, 60473, 67778, 51120, 54498, 50899, 54980, 51120, 50932, 53975, 62722, 50932, 53523, 60473, 54498, 50900, 58327, 54980, 50900, 50932, 54206, 59219, 50932, 53337, 51517, 50322, 51309, 50434, 50968, 50933, 55898, 60473, 51309, 79472, 55514, 50899, 60473, 51309, 50458, 64304, 54868, 54869, 77743, 50434, 50968, 56180, 50973, 51627, 50458, 61048, 54955, 58794, 62666, 51120, 54498, 51026, 50932, 50442, 50899, 62565, 50916, 55514, 51120, 69711, 72921, 58222, 50458, 61048, 54955, 70713, 50933, 50418, 50906, 64987, 50973, 55656, 51120, 58794, 51309, 50434, 50899, 56180, 51026, 70713, 70430, 61048, 50446, 50973, 55514, 51120, 58794, 51309, 50458, 63383, 56310, 58327, 50933, 50418, 50973, 64987, 50876, 55656, 51120, 59219, 54498, 51120, 51309, 50989, 51309, 50877, 51309, 50446, 51120, 50933, 50989, 50933, 50877, 55514, 51120, 69711, 59219, 50932 ]

[ 0, 250, 20902, 3495, 3152, 2214, 14, 1931, 21683, 8593, 26358, 8, 10563, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 6755, 12547, 6, 38668, 20535, 6, 21072, 6, 8, 12280, 3275, 1725, 3109, 4, 590, 10, 1769, 20889, 9, 20598, 13410, 228, 2289, 8, 41, 22438, 195, 73, 306, 86, 6543, 6, 42, 2365, 12, 36381, 1349, 16, 278, 11, 5, 762, 9, 274, 10431, 538, 6, 22690, 10, 33215, 16739, 9, 163, 401, 6, 274, 10431, 73, 347, 10431, 6, 8, 12608, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56355, 50632, 50426, 58153, 51091, 53564, 51091, 53381, 51091, 53388, 51091, 51001, 50870, 50951, 53962, 50906, 73747, 54950, 51001, 53569, 51001, 50982, 51114, 50928, 51147, 56432, 50906, 53594, 58312, 51145, 53022, 51145, 53381, 51145, 53388, 51145, 51001, 50870, 51114, 56377, 51001, 53421, 51001, 50982, 50951, 54059, 51001, 50870, 51147, 55397, 51001, 50982, 50462, 51086, 71029, 50982, 51114, 50928, 50468, 51001, 50870, 51114, 50928, 50471, 51001, 50982, 50799, 60117, 51307, 53022, 51191, 53381, 51191, 53388, 51191, 50906, 73747, 50870, 50951, 54183, 51001, 54604, 50906, 50982, 51001, 53356, 50906, 73747, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 53022, 51452, 52681, 51452, 51001, 50870, 51114, 55762, 51001, 53569, 51001, 50982, 50951, 54485, 51001, 50870, 51147, 54914, 51001, 53421, 51086, 71029, 50982, 51114, 54059, 51001, 50870, 51114, 56232, 51001, 50982, 50799, 57600, 51115, 53009, 50878, 53388, 50878, 51001, 50870, 50951, 54183, 52681, 50878, 53395, 50925, 50906, 73747, 54604, 51001, 53356, 53388, 50925, 53282, 50925, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 58153, 50849, 53282, 50897, 54106, 50897, 50906, 73747, 50870, 51114, 55762, 50906, 50982, 51001, 53569, 50906, 73747, 50982, 50951, 54485, 58312, 50845, 53395, 50878, 53559, 50878, 51001, 50870, 51147, 54914, 51001, 53421, 51086, 71029, 50982, 51114, 54059, 60117, 51103, 53388, 50914, 53282, 71606, 50870, 51114, 56232, 51001, 50982, 57923, 50870, 50951, 54183, 53381, 50878, 50906, 73747, 54604, 51001, 53356, 52332, 51090, 53388, 50925, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 53575, 60117, 51452, 52681, 51452, 53395, 51452, 51001, 50870, 51114, 55762, 52332, 53177, 50319, 53569, 52187, 51379, 51001, 50982, 50951, 54485, 51001, 50870, 51147, 59265, 52414, 51379, 50447, 52187, 51379, 51001, 53421, 51086, 71029, 50982, 51114, 65496, 53129, 51379, 50455, 52414, 51379, 50456, 51001, 50870, 51114, 56232, 51001, 50982, 50799, 51558, 51161, 58153, 51204, 53564, 51204, 53381, 51204, 53388, 51204, 50906, 73747, 50870, 50951, 65843, 53129, 51379, 50420, 51001, 54604, 51558, 51161, 50906, 50982, 51001, 53356, 50906, 73747, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 58312, 51452, 53022, 51452, 53381, 51452, 53388, 51452, 51001, 50870, 51114, 55762, 51001, 53569, 51001, 50982, 50951, 54485, 51001, 50870, 51147, 54914, 51001, 53421, 51394, 68339, 71029, 50982, 51114, 54059, 51558, 57367, 50870, 51114, 56232, 51394, 57367, 50982, 50799, 51905, 50983, 60117, 51264, 53022, 51204, 53381, 51204, 53388, 51204, 51001, 50870, 50951, 62716, 51558, 52115, 50906, 73747, 54604, 51905, 50983, 51001, 53356, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 54354, 51600, 50983, 53022, 51452, 52681, 51452, 50906, 73747, 50870, 51114, 55762, 50906, 50982, 51001, 53569, 50906, 73747, 50982, 50951, 60895, 51600, 60865, 51001, 50870, 51147, 54914, 51001, 53421, 52405, 51036, 51086, 71029, 50982, 51114, 54059, 51001, 50870, 51114, 56232, 52405, 51036, 51001, 50982, 50799, 57600, 51115, 53009, 50878, 53388, 50878, 51001, 50870, 50951, 54183, 52681, 50925, 53395, 50925, 50906, 73747, 54604, 51001, 53356, 53388, 50897, 53282, 50897, 51001, 50982, 51114, 50928, 51147, 57265, 50906, 53575, 58153, 50845, 53282, 50878, 54106, 50878, 51001, 50870, 51114, 55762, 51001, 53569, 51001, 50982, 50951, 54485, 58312, 50845, 53395, 50878, 53559, 50878, 51001, 50870, 51147, 54914, 51001, 53421, 52838, 68339, 71029, 50982, 51114, 54059, 52405, 52382, 60117, 51103, 53388, 51103, 53282, 51103, 51001, 50870, 51114, 56232, 52838, 57367, 50982, 52177, 52405, 52382, 50420, 51705, 52108, 53025, 52038, 51705, 53030, 55848, 52605, 60117, 51452, 52681, 51452, 53395, 51452, 55533, 52025, 57873, 52025, 50798, 51646, 51705, 52108, 61588, 56157, 57309, 51387, 63909, 51387, 51705, 55157, 51798, 55533, 52025, 57873, 54590, 50313, 53889, 51575, 52325, 50877, 53889, 54429, 52937, 50877, 53889, 51858, 50800, 50799, 52405, 51036, 53564, 51091, 53282, 51091, 54106, 51091, 56590, 51091, 57873, 50845, 51560, 56036, 54200, 59515, 52774, 53706, 50845, 51560, 51370, 57572, 52405, 61899, 52165, 50845, 55533, 50845, 51560, 56962, 53889, 51331, 52605, 53022, 50918, 53559, 50918, 54106, 50918, 56590, 50918, 57873, 50915, 51493, 56962, 51437, 52446, 51493, 51428, 52959, 52815, 52165, 50845, 53706, 50845, 51493, 56036, 51437, 52596, 55533, 50845, 51493, 68339, 72471, 53889, 51331, 52961, 57873, 50845, 51493, 56962, 51437, 50805, 50799, 52405, 50918, 53381, 52208, 53559, 50983, 54106, 50983, 56590, 50983, 52165, 50845, 57873, 50845, 51705, 56036, 54200, 52959, 52864, 53706, 50845, 51705, 51370, 57572, 52405, 55834, 55533, 50845, 51705, 56962, 53889, 51331, 52605, 53559, 51358, 54106, 51358, 55951, 51358, 52165, 50845, 57873, 50915, 51705, 56962, 51437, 52446, 51811, 50807, 51705, 51428, 52959, 52815, 52165, 50845, 53706, 50845, 53262, 56036, 51437, 59414, 51811, 52728, 51733, 50807, 51385, 50810, 55533, 50845, 51705, 68339, 72471, 53889, 51331, 61157, 51546, 52863, 52165, 50845, 57873, 50845, 53262, 56962, 51437, 58565, 51733, 50807, 50799, 52405, 51358, 53009, 51552, 53282, 50795, 56590, 72134, 50845, 57873, 50845, 51522, 56036, 54200, 52959, 52864, 53559, 50795, 59906, 50795, 51546, 50845, 53706, 50845, 51522, 51370, 57572, 52405, 74612, 54106, 50795, 61069, 50795, 52165, 50845, 55533, 50845, 51522, 56962, 53889, 51331, 52605, 53564, 50923, 55951, 50806, 50654, 50334, 50806, 52828, 50845, 57873, 50915, 51560, 56962, 51437, 50805, 51450, 52959, 52815, 51733, 50807, 53022, 50923, 55439, 50806, 59940, 50806, 52165, 50845, 53706, 50845, 51493, 56036, 51437, 52596, 55533, 79966, 72471, 53889, 51331, 61157, 51733, 53312, 54294, 51029, 53381, 52097, 54106, 51285, 61069, 51285, 57873, 50915, 52165, 51115, 51705, 58750, 53270, 50849, 51528, 52959, 60770, 54294, 58823, 53706, 50845, 51705, 56962, 51437, 52483, 53089, 50795, 55533, 50845, 51705, 58750, 53889, 51331, 52605, 52838, 50807, 53381, 51527, 53559, 51196, 59906, 51196, 57873, 50915, 52165, 51115, 50965, 51437, 57807, 53089, 51646, 51705, 56036, 54200, 52959, 60132, 52838, 53218, 52405, 50983, 53706, 50845, 52318, 50795, 51553, 56827, 51385, 50810, 55533, 50915, 51560, 68339, 72471, 53889, 55680, 52405, 50983, 51546, 52863, 52165, 50845, 51705, 56962, 53889, 50812, 53206, 50803, 50799, 52405, 51036, 53564, 51091, 53282, 51091, 54106, 51091, 56590, 51091, 57873, 50845, 51560, 56036, 54200, 59515, 52774, 53706, 50845, 51560, 51370, 57572, 52405, 61899, 52165, 50845, 55533, 50845, 51560, 56962, 53889, 51331, 52605, 53022, 50918, 53559, 50918, 54106, 50918, 56590, 50918, 57873, 50915, 51493, 56962, 51437, 52446, 51493, 51428, 52959, 52815, 52165, 50845, 53706, 50845, 51493, 56036, 51437, 52596, 55533, 50845, 51493, 68339, 72471, 53889, 51331, 52961, 57873, 50845, 51493, 56962, 51437, 50805, 50799, 52405, 50918, 53381, 52208, 53559, 50983, 54106, 50983, 56590, 50983, 52165, 50845, 57873, 50845, 51705, 56036, 54200, 52959, 52864, 53706, 50845, 51705, 51370, 57572, 52405, 55834, 55533, 50845, 51705, 56962, 53889, 51331, 52605, 53559, 51358, 54106, 51358, 55951, 51358, 52165, 50845, 57873, 50915, 51705, 56962, 51437, 52446, 51811, 50807, 51705, 51428, 52959, 52815, 52165, 50845 ]

[ 0, 250, 15855, 1619, 2125, 4246, 13305, 6, 769, 196, 6757, 6, 21072, 6, 24896, 6, 8, 38668, 2236, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 11098, 8, 7125, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 16906, 352, 226, 22740, 20889, 4, 20, 33215, 16739, 9, 381, 6, 83, 6, 381, 73, 387, 6, 8, 163, 406, 31473, 10, 2950, 8, 17627, 17274, 619, 7, 5, 15229, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 52552, 50627, 54812, 50924, 51667, 50924, 53580, 50924, 56293, 51710, 50301, 51710, 50305, 64608, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 51011, 51073, 50843, 53829, 56213, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 73662, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56266, 56638, 50884, 51034, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 51073, 51011, 51896, 61260, 50884, 52399, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 53230, 50843, 53418, 55343, 50924, 51667, 50924, 52491, 50924, 56293, 51710, 50301, 73022, 64608, 73979, 50924, 62396, 50924, 58165, 50924, 54628, 50924, 62545, 54593, 53759, 53806, 53077, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 64469, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56007, 50924, 67370, 50884, 51034, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 51073, 51011, 51472, 61260, 50884, 52399, 53150, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 79952, 53759, 53230, 50843, 53418, 55602, 51073, 51667, 51073, 52228, 51073, 56167, 51073, 51120, 64209, 70148, 51073, 51114, 51073, 70283, 51073, 55172, 51073, 54628, 51073, 63213, 51073, 50927, 79952, 53347, 53806, 50804, 53759, 50884, 51034, 55343, 51073, 51667, 51073, 53880, 50879, 58166, 51073, 51027, 51710, 50296, 70148, 69920, 51073, 62396, 50924, 50671, 50296, 51073, 54628, 51073, 62545, 51073, 51019, 51896, 61260, 53829, 53580, 51710, 50305, 50924, 69334, 58786, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 58166, 51073, 51315, 51073, 50916, 70148, 69920, 51073, 50671, 50296, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 53230, 50843, 53418, 56213, 51073, 52185, 51073, 52228, 51073, 58166, 51073, 51315, 64209, 60747, 51073, 50973, 51073, 50671, 50296, 51073, 55172, 51073, 56732, 51073, 56266, 58668, 53759, 50884, 52129, 53347, 50884, 51034, 54812, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 51011, 51896, 61260, 50884, 52399, 53150, 54812, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 62396, 51073, 69334, 51073, 54628, 79952, 53759, 53230, 50843, 53418, 54812, 50924, 51667, 50924, 53580, 50924, 56293, 51710, 50301, 51710, 50305, 64608, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 61260, 53806, 56213, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 73662, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56266, 54593, 53347, 50884, 51034, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 51073, 51011, 51896, 61260, 50884, 52399, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 56293, 51073, 51027, 51073, 50916, 70148, 69920, 51073, 62396, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 53230, 50843, 53418, 55343, 50924, 51667, 50924, 52491, 50924, 56293, 51710, 50301, 73022, 64608, 73979, 50924, 62396, 50924, 58165, 50924, 54628, 50924, 62545, 54593, 53759, 53806, 53077, 50924, 51667, 50924, 52228, 50924, 56293, 51710, 50301, 67047, 64608, 64469, 50924, 62396, 50924, 55172, 50924, 54628, 50924, 56007, 50924, 67370, 50884, 51034, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 51073, 51011, 51472, 61260, 50884, 52399, 53150, 53771, 51073, 51667, 51073, 53580, 51073, 56293, 51073, 51027, 75350, 70148, 51073, 50968, 51073, 62396, 51073, 69334, 51073, 54628, 51073, 55687, 79952, 53759, 53230, 50843, 53418, 55602, 51073, 51667, 51073, 52228, 51073, 56167, 51073, 51120, 64209, 70148, 51073, 51114, 51073, 70283, 51073, 55172, 51073, 54628, 51073, 63213, 51073, 50927, 51073, 67370, 53806, 50804, 53759, 50884, 51034, 55343, 51073, 51667, 51073, 53880, 50879, 58166, 51073, 51027, 51710, 50296, 70148, 69920, 51073, 62396, 50924, 50671, 50296, 51073, 54628, 51073, 62545, 51073, 51019, 51896, 61260, 53829, 53580, 51710, 50305, 50924, 69334, 58786, 53150, 55343, 51073, 51667, 51073, 52491, 51073, 58166, 51073, 51315, 51073, 50916, 70148, 69920, 51073, 50671, 50296, 51073, 58165, 51073, 54628, 51073, 62545, 79952, 53759, 50884, 51974, 53759, 53418, 56213, 51073, 52185, 51073, 52228, 51073, 58166, 51073, 51315, 64209, 60747, 51073, 50973, 51073, 50671, 50296, 51073, 55172, 51073, 56732, 51073, 56266, 58668, 53759, 50884, 52129, 53347, 50884, 51057, 54812, 51472, 51667, 51472, 53580, 51472, 56293, 51472, 51027, 51472, 51040, 51472, 50877, 51472, 62396, 51472, 69334, 51472, 54628, 51472, 51011, 51472, 58863, 57560, 53150, 51224, 56710, 51224, 53230, 51326, 55486, 51326, 50884, 52552, 54985, 50924, 51667, 50924, 53580, 50924, 56293, 50924, 55205, 50924, 51855, 50924, 53444, 50924, 69580, 51710, 50301, 51710, 50305, 64608, 51710, 50325, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 57010, 50924, 51011, 58668, 57590, 53829, 56853, 50924, 51667, 50924, 53580, 50924, 56293, 50924, 57684, 50924, 51855, 50924, 53444, 50924, 69580, 51710, 50301, 51710, 50305, 64608, 51710, 50324, 50924, 62396, 50924, 69334, 50924, 54628, 50924, 73292, 50924, 51326, 57590, 50884, 51034, 55602, 51073, 51667, 51073, 52228, 51073, 55910, 51073, 56553, 51073, 51855, 51073, 52123, 51073, 57337, 64209, 70148, 51073, 51114, 51073, 55172, 51073, 54628, 51073, 63213, 51073, 51271, 51472, 62393, 50884, 53158, 53150, 55602, 51073, 51667, 51073, 52228, 51073, 55910, 51073, 56553, 51073, 51855, 51073, 52123, 51073, 57337, 64209, 70148, 51073, 51114, 51073, 55172, 51073, 54628, 51073, 63213, 79952, 52990, 53230, 50856, 53418, 54985, 51073, 51633, 51073, 52891, 51073, 56167, 51073, 55205, 51073, 52086, 51073, 52089, 51073, 50742, 50294, 51073, 51120, 74972, 73642, 51073, 50999, 51073, 70283, 51073, 59502, 51073, 56007, 51073, 57010, 51073, 50927, 79952, 52990, 53806, 69773, 51034, 53771, 51073, 52226, 51073, 52172, 51073, 56293, 51073, 54426, 51073, 52655, 51073, 51584, 51073, 69580, 51073, 51027, 70148, 69920, 51073, 50968, 51073, 62396, 51073, 54628, 51073, 62545, 51073, 55687, 51073, 51011, 51896, 62393, 50884, 53158, 53150, 53771, 51073, 52226, 51073, 53880, 51073, 56293, 51073, 54426, 51073, 52655, 51073, 54445, 51073, 69580, 51073, 51027, 69920, 51073, 50968, 51073, 62396, 51073, 62545, 51073, 55687, 79952, 52990, 53230, 50856, 53418, 55602, 51238, 51667, 51073, 53580, 51073, 56293, 51073, 56553, 51238, 51855, 51073, 53444, 51073, 69580, 51073, 51114, 51215, 51027, 75350, 70148, 51073, 63213, 51215, 62396, 51073, 69334, 51073, 54628, 79952, 52990, 53806, 50804, 52990, 55888, 53771, 50859, 54426, 50859, 79945, 55687, 50859, 51034, 54812, 51073, 51667, 51073, 53580, 51073, 61092, 51073, 54776, 51073, 51855, 51073, 53444, 51073, 75313, 51073, 51378, 75350, 70148, 51073 ]

[ 0, 250, 182, 1769, 8, 765, 37903, 9, 5175, 15855, 930, 4246, 10, 13305, 6, 7630, 14805, 10, 2933, 8, 20425, 6711, 10686, 13, 822, 4, 85, 18, 11, 5, 762, 9, 230, 538, 19, 10, 881, 21263, 9, 5, 33215, 16739, 230, 6, 211, 119, 6, 272, 6, 8, 274, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 50871, 54177, 50877, 54869, 50876, 55665, 50871, 52718, 50877, 53624, 50877, 52985, 50877, 53581, 50877, 50838, 54960, 54177, 50861, 52688, 50861, 53052, 50861, 52718, 50989, 53624, 50861, 52985, 50877, 53581, 50906, 50932, 52591, 50861, 55665, 50861, 56350, 50877, 52985, 50906, 56109, 50877, 50932, 52591, 50861, 55665, 50876, 56350, 50876, 52985, 50906, 53581, 50906, 50932, 52591, 50877, 55665, 50861, 56350, 50861, 52985, 50877, 53581, 50906, 50932, 52591, 50877, 55665, 50861, 56350, 50876, 53581, 50876, 50932, 52591, 50906, 55665, 50906, 56350, 50877, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 13363, 28191, 5175, 25771, 2125, 14, 36193, 5, 30443, 7, 10, 3366, 219, 6, 23975, 2369, 18795, 4, 590, 10, 7212, 20889, 8, 278, 11, 5, 762, 9, 230, 538, 6, 5, 2214, 1575, 10, 13305, 6, 6755, 12547, 6, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 8, 274, 119, 1176, 406, 3639, 7, 5, 33535, 13569, 9862, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50791, 50887, 51544, 50887, 51570, 52955, 56372, 52354, 52466, 52715, 73628, 56299, 50945, 51805, 50890, 52389, 51331, 54334, 50964, 51331, 50887, 51556, 50880, 53357, 52466, 51331, 50890, 51572, 56312, 50945, 51805, 54411, 50798, 52715, 54647, 50964, 51331, 50880, 51621, 50890, 52354, 76933, 50880, 51402, 56731, 50945, 51805, 50887, 52389, 51805, 56629, 50964, 51331, 50890, 51556, 50880, 53357, 52466, 52715, 69867, 57782, 50945, 51805, 53595, 50798, 52715, 55577, 50964, 51331, 50890, 51621, 50961, 52354, 53236, 52715, 53291, 75970, 51903, 54475, 50832, 54446, 50945, 52715, 51989, 50862, 52389, 52715, 53291, 50839, 51999, 54215, 50964, 52715, 51989, 74647, 52273, 50862, 53357, 53236, 51331, 51903, 50839, 51572, 52240, 54247, 50832, 54525, 50945, 51805, 51989, 53938, 50798, 52715, 53616, 50862, 52145, 54319, 50964, 51331, 51989, 50839, 51621, 53716, 50862, 52354, 52466, 52715, 51989, 75970, 53716, 54475, 50832, 54446, 62890, 67183, 50862, 52389, 51805, 53616, 50839, 51999, 54215, 50964, 52715, 53616, 74647, 53716, 50862, 53357, 76933, 53616, 50839, 51572, 53716, 54247, 50832, 54525, 50945, 51805, 52273, 53938, 50798, 52715, 53616, 50862, 52145, 54319, 71155, 67183, 50839, 51621, 52273, 50862, 71756, 50976, 52233, 52122, 51821, 52122, 51701, 52122, 50900, 56736, 50871, 53520, 50877, 54834, 50945, 52466, 51331, 53616, 56813, 51050, 56094, 51402, 53716, 53227, 50832, 54446, 50945, 51805, 53716, 53901, 51643, 51599, 53451, 56214, 53291, 50839, 51999, 54215, 51667, 50811, 50964, 51331, 51989, 74647, 52273, 62517, 51643, 51300, 53357, 76933, 51989, 50839, 51572, 53616, 54247, 50832, 54525, 50945, 51805, 53616, 53938, 50798, 52865, 56214, 62024, 52145, 54319, 50964, 54589, 53616, 50839, 51621, 53716, 50862, 52354, 52466, 52715, 52240, 75970, 53616, 54475, 50832, 54446, 50945, 51805, 53291, 50862, 52389, 53451, 56214, 51989, 56344, 51643, 50803, 51999, 54215, 50964, 52715, 53616, 56802, 51643, 62922, 53616, 50862, 53357, 52466, 52715, 53616, 57927, 51993, 80127, 53291, 54247, 50832, 57740, 51993, 72992, 50945, 51805, 53616, 53068, 51050, 51048, 50900, 51460, 50871, 58571, 53451, 56214, 53616, 65780, 50877, 51112, 52145, 54319, 51993, 71912, 51331, 51903, 50839, 51621, 53716, 50862, 65755, 51352, 54064, 52122, 52016, 52122, 51186, 52466, 52715, 51903, 56813, 50899, 56094, 50871, 56094, 51234, 55068, 50997, 58690, 50877, 53520, 51402, 53716, 54475, 50832, 54446, 51186, 51805, 53616, 50862, 52389, 53451, 56214, 51903, 50839, 51999, 54215, 50945, 51331, 53291, 74647, 53616, 53894, 51186, 52466, 52715, 53291, 50862, 51572, 53291, 54247, 50832, 54525, 51186, 51805, 53291, 53938, 50798, 52865, 55968, 62024, 52145, 54319, 50945, 51331, 53616, 50839, 51621, 53716, 50862, 54516, 76933, 52546, 75970, 53616, 54475, 50832, 54446, 51186, 51805, 53291, 50862, 52389, 53451, 56214, 53291, 50862, 51999, 54215, 50945, 51331, 51989, 74647, 53616, 53894, 51186, 76933, 51903, 50839, 51572, 53616, 54247, 50832, 54525, 51186, 51805, 53291, 53938, 50798, 53451, 52964, 53696, 74784, 54319, 51186, 51331, 53291, 50839, 51621, 53291, 50862, 71756, 50803, 52233, 52122, 51821, 52122, 51050, 54834, 50900, 59939, 50871, 56094, 50877, 56736, 50945, 76933, 52546, 56813, 51701, 52122, 51402, 53291, 54475, 51643, 51880, 54446, 50945, 51805, 53696, 53901, 51643, 52466, 52865, 55968, 53696, 50839, 51999, 54215, 50964, 51331, 51903, 56802, 51667, 62922, 53616, 60723, 51643, 51029, 53357, 51520, 52715, 51903, 50839, 51572, 53696, 54247, 50832, 54525, 50945, 51805, 53291, 53938, 50798, 53451, 52964, 62024, 52145, 54319, 50964, 51331, 51989, 50839, 51621, 53291, 50862, 52354, 52466, 52715, 53291, 75970, 53291, 54475, 50832, 55946, 50945, 51805, 53696, 53901, 51643, 51670, 53451, 63067, 52546, 50862, 51999, 54215, 51643, 69583, 51331, 53291, 74647, 53616, 53894, 51993, 50811, 50945, 51520, 52715, 53291, 50839, 51572, 53696, 54247, 50832, 64684, 51993, 72992, 50945, 51805, 53696, 53068, 51050, 51500, 50900, 50975, 50871, 51603, 50798, 51812, 52964, 53696, 65780, 50877, 51238, 52145, 54319, 50945, 51331, 53291, 58544, 51633, 51795, 51621, 53716, 50862, 50799, 54064, 52122, 52016, 52122, 51234, 55428, 50899, 57676, 50877, 56300, 50871, 56300, 51186, 52466, 52715, 52546, 56813, 50997, 54217, 51402, 53616, 54475, 50832, 54446, 51186, 51805, 53291, 50862, 52389, 51812, 62003, 53291, 50839, 51999, 54215, 50945, 51331, 53616, 74647, 53716, 52950, 51186, 51520, 51331, 51989, 50839, 51572, 51989, 54247, 50832, 56112, 51186, 51805, 53616, 53938, 50798, 53451, 56214, 53616, 74784, 54319, 50945, 51331, 53616, 50839, 51621, 53616, 50862, 54516, 52466, 52715, 53291, 50862, 51402, 51989, 54475, 50832, 55946, 51186, 51805, 53616, 50862, 52389, 53451, 62003, 52546, 50862, 51999, 54215, 50945, 51331, 53616, 74647, 53616, 53894, 51186, 52466, 52715, 51989, 50839, 51572, 53716, 54247, 50832, 56112, 51186, 51805, 53616, 53938, 51633, 76557, 51603, 50899, 51227, 50877, 51112, 51234, 74340, 67774, 53451, 52964, 51903, 74784, 54319, 51993, 71912, 54589, 51989, 50839, 51621, 53616, 57335, 52233, 51353, 50799, 52372, 50860, 51678, 51353, 55500, 51353, 52091, 51353, 51279, 52069, 50861, 52536, 50900, 53241, 50916, 52500, 51027, 53241, 51133, 51520, 51331, 51903, 75970, 52240, 53227, 50832, 54446, 52372, 50823, 51133, 51805, 53616, 50839, 52389, 53451, 56214, 51903, 50839, 51999, 52925, 52372, 50803, 65715, 53616, 74647, 53616, 53894, 52372, 50860, 51133, 51520, 52715, 53291, 50839, 51572, 53616, 54247, 50832, 54525, 53128, 50860, 51133, 52715, 53291, 53938, 50798, 51812, 52964, 53291, 74784, 64405, 52372, 52163, 65715, 52546, 50839, 51621, 53616, 59496, 51821, 51353, 71025, 50975, 54064, 51353, 52016, 52069, 51701, 51353, 51026, 51685, 50997, 52282, 50871, 51977, 51214, 51692, 50899, 51977, 51186, 51520, 52715, 51903, 75970, 53291, 54475, 50832, 54446, 51633, 51029, 51186, 51805, 53291, 50862, 52389, 51812, 56214, 53696, 50839, 51999, 54215, 50945, 51331, 53291, 74647, 53616, 53894, 51186, 51520, 54589, 53291, 50839, 51572, 53616, 54247, 50832, 57854, 50989, 54847, 51186, 51805, 53616, 53938, 51633, 76557, 50993, 50899, 51460, 50877, 51238, 50871, 66810, 53451, 52964, 51903, 57143, 51234, 51157, 52145, 54319, 51993, 71912, 51331, 53291, 50839, 51621, 51700, 50862, 50799, 55500, 51353, 52233, 52069, 51678, 51353, 52091, 51353, 50900, 53435, 50916, 52500, 50861, 52392, 51133, 51520, 52715, 51989, 56813, 52372, 50823, 51279, 51359, 51027, 53435, 51402, 53616, 54475, 50832, 54446, 52372, 50823, 51133, 51805, 53616, 50862, 52389, 51812, 52964, 53696, 50839, 51999, 61721, 52372, 54179, 65715, 53616, 74647, 56330, 53894, 51133, 52466, 51331, 53616, 57927, 52372, 50823, 51572, 53616, 54247, 50832, 54525, 53128, 74082, 50860, 67183, 53938, 50798, 53451, 56214, 51903, 74784, 61171, 52372, 52163, 65715, 53616, 50839, 51621, 53716, 59496, 51701, 51353, 51821, 52122, 77881, 71025, 51407, 51120, 52379, 50899, 52500, 50877, 51605, 50871, 52536, 50927, 52466, 52715, 51989, 75970, 53616, 54475, 50832, 54446, 50927, 52715, 53616, 50862, 52389, 53451, 52964, 53616, 50839, 51999, 54215, 51069, 52715, 52240, 74647, 52240, 50862, 53758, 52466, 51331, 51989, 50862, 51572, 53291, 54247, 50832, 54525, 50927, 51805, 53616, 53938 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 11, 381, 3694, 6, 4246, 10, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 17035, 873, 2401, 6, 8, 1515, 21305, 6, 42, 15229, 7630, 6568, 10, 25306, 5466, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 19, 10, 1472, 9, 4149, 8, 11926, 6, 15760, 14133, 30, 9066, 8, 814, 12, 13268, 3423, 4, 20, 33215, 16739, 9, 1918, 6, 3676, 6, 83, 406, 6, 1918, 6, 8, 3676, 3639, 7, 63, 13363, 28191, 7122, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 51284, 52096, 51558, 52096, 51733, 52096, 51888, 52096, 52515, 52096, 54063, 52096, 57489, 52096, 51686, 52096, 52156, 52096, 52433, 52096, 52130, 52096, 50799, 59813, 50905, 50711, 50284, 55126, 57921, 50905, 67792, 54335, 59813, 50905, 50711, 50284, 54342, 57921, 50905, 67792, 54137, 59813, 50905, 50711, 50284, 55103, 57921, 50905, 67792, 54323, 59813, 50905, 50711, 50284, 54509, 57921, 50905, 67792, 50905, 70321, 50822, 54246, 50822, 59813, 50905, 54120, 50822, 50711, 50284, 67943, 69651, 52355, 50822, 52155, 53728, 51357, 50822, 52824, 50822, 57921, 50905, 52202, 50822, 67792, 61544, 51107, 50822, 51900, 50822, 51596, 52921, 51266, 50822, 52285, 50822, 59813, 50905, 51789, 50822, 50711, 50284, 65005, 51107, 50822, 51900, 50822, 51596, 53193, 51357, 50822, 52824, 50822, 57921, 50905, 52202, 50822, 67792, 60282, 69651, 52355, 50822, 52155, 52691, 51266, 50822, 52285, 50822, 59813, 50905, 51789, 50822, 50711, 50284, 70140, 51284, 50822, 52515, 50822, 51686, 53743, 51558, 50822, 54063, 50822, 57921, 50905, 52156, 50822, 67792, 61554, 51384, 50822, 53993, 50822, 51886, 53140, 51733, 50822, 57489, 50822, 59813, 50905, 52433, 50822, 50711, 50284, 67763, 51384, 50822, 53993, 50822, 51886, 53820, 51558, 50822, 54063, 50822, 57921, 50905, 52156, 50822, 67792, 60864, 51284, 50822, 52515, 50822, 51686, 50822, 50799, 51733, 50912, 57489, 50912, 59813, 50905, 52433, 50912, 50711, 50284, 67943, 51558, 50912, 54063, 50912, 52156, 55869, 51284, 50851, 52515, 50851, 57921, 50905, 51686, 50851, 67792, 61544, 51266, 50851, 52285, 50851, 51789, 53220, 51733, 50851, 57489, 50851, 59813, 50905, 52433, 50851, 50711, 50284, 65005, 51558, 50851, 54063, 50851, 52156, 54150, 51284, 50851, 52515, 50851, 57921, 50905, 51686, 50851, 67792, 60282, 51266, 50851, 52285, 50851, 51789, 53269, 51733, 50851, 57489, 50851, 59813, 50905, 52433, 50851, 50711, 50284, 70140, 51558, 50851, 54063, 50851, 52156, 54478, 51284, 50827, 52515, 50827, 57921, 50905, 51686, 50827, 67792, 61554, 51266, 50827, 52285, 50827, 51789, 52989, 51733, 50827, 57489, 50827, 59813, 50905, 52433, 50827, 50711, 50284, 67763, 51558, 50827, 54063, 50827, 52156, 53176, 51284, 50827, 52515, 50827, 57921, 50905, 51686, 50827, 67792, 60864, 51266, 50827, 52285, 50827, 51789, 50827, 50799, 51733, 50827, 57489, 50827, 59813, 50905, 52433, 50827, 50711, 50284, 67943, 51558, 50874, 54063, 50874, 52156, 54448, 51284, 50874, 52515, 50874, 57921, 50905, 51686, 50874, 67792, 61544, 51266, 50874, 52285, 50874, 51789, 53881, 51733, 50874, 57489, 50874, 59813, 50905, 52433, 50874, 50711, 50284, 65005, 51558, 50874, 54063, 50874, 52156, 54221, 51284, 50874, 52515, 50874, 57921, 50905, 51686, 50874, 67792, 60282, 51266, 50874, 52285, 50874, 51789, 54123, 51284, 50995, 51558, 50995, 51733, 50995, 52515, 50995, 54063, 50995, 57489, 50995, 59813, 50905, 51686, 50995, 52156, 50995, 52433, 50995, 50711, 50284, 55103, 57921, 50905, 67792, 54323, 77395, 51113, 50905, 55008, 50905, 52355, 50905, 59813, 50905, 57624, 50905, 52155, 50905, 50711, 50284, 54509, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 57921, 50905, 54809, 50905, 52202, 50905, 67792, 50905, 70321, 51318, 51093, 51318, 54246, 51318, 51784, 51318, 59813, 50905, 54120, 51318, 51752, 51318, 50711, 50284, 55126, 57921, 50905, 67792, 54335, 59813, 50905, 50711, 50284, 54342, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 57921, 50905, 54809, 50905, 52202, 50905, 67792, 54137, 51301, 51318, 51093, 51318, 54246, 51318, 51784, 51318, 59813, 50905, 54120, 51318, 51752, 51318, 50711, 50284, 55103, 57921, 50905, 67792, 54323, 59813, 50905, 50711, 50284, 54509, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 57921, 50905, 54809, 50905, 52202, 50905, 67792, 50905, 70321, 50905, 75491, 54246, 50905, 51784, 50905, 57921, 51447, 62844, 51447, 54120, 50905, 51752, 50905, 67792, 51447, 53064, 51447, 50420, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 54809, 50905, 52202, 54335, 51299, 51148, 51113, 51148, 55008, 51148, 52355, 51148, 57624, 51148, 52155, 65680, 55120, 51314, 63056, 51314, 66207, 51314, 52665, 51314, 50450, 77395, 51113, 50905, 55008, 50905, 52355, 50905, 57624, 50905, 52155, 54509, 69435, 51266, 50905, 52278, 50905, 52285, 50905, 52182, 50905, 51789, 50905, 50799, 51491, 50905, 77473, 54219, 50905, 51900, 50905, 60630, 51080, 61277, 51080, 54027, 50905, 51596, 50905, 50711, 50291, 51080, 56117, 62557, 69651, 52355, 50822, 52155, 54252, 51107, 50822, 51900, 50822, 51596, 52921, 51266, 50905, 52285, 50905, 51789, 54342, 51107, 50822, 51900, 50822, 51596, 54378, 51266, 50822, 52285, 50822, 51789, 52691, 51284, 51337, 52515, 51337, 59813, 51244, 57921, 51244, 51686, 51337, 50711, 50284, 51244, 67792, 51244, 50446, 51301, 51337, 51093, 51337, 54246, 51337, 51784, 51337, 54120, 51337, 51752, 51337, 50454, 51088, 51337, 51266, 51337, 52278, 51337, 52285, 51337, 52182, 51337, 51789, 51337, 70526, 51148, 51107, 51148, 52714, 51148, 51900, 51148, 56847, 51097, 58890, 51097, 53124, 51148, 51596, 51148, 50711, 50289, 51097, 55308, 60324, 56847, 51097, 58890, 51097, 50711, 50289, 51097, 55308, 57937, 51301, 50995, 51093, 50995, 54246, 50995, 51784, 50995, 56847, 51097, 58890, 51097, 54120, 50995, 51752, 50995, 50711, 50289, 51097, 55308, 59124, 51251, 50995, 78256, 54108, 50995, 52186, 50995, 56847, 51097, 58890, 51097, 54809, 50995, 52315, 50995, 50711, 50289, 51097, 55308, 51097, 70321, 50905, 75491, 54246, 50905, 51784, 50905, 56847, 51097, 58890, 51097, 54120, 50905, 51752, 50905, 50711, 50289, 51097, 55308, 73318, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 54809, 50905, 52202, 54335, 51299, 51662, 51113, 51662, 55008, 51662, 52355, 51662, 56847, 51097, 58890, 51097, 57624, 51662, 52155, 51662, 50711, 50289, 51097, 55308, 57937, 56847, 51097, 58890, 51097, 50711, 50289, 51097, 55308, 59124, 56847, 51097, 58890, 51097, 50711, 50289, 51097, 55308, 51097, 70321, 50905, 75491, 54246, 50905, 51784, 50905, 55120, 51097, 63056, 51097, 54120, 50905, 51752, 50905, 66207, 51097, 52665, 73318, 51251, 50905, 51357, 50905, 54108, 50905, 52824, 50905, 54809, 50905, 52202, 54335, 51299, 51148, 51113, 51148, 55008, 51148, 52355, 51148, 55120, 51097, 63056, 51097, 57624, 51148, 52155, 51148, 66207, 51097, 52665, 57937, 55120, 51097, 63056, 51097, 66207, 51097, 52665, 59124, 77395, 51113, 50905, 55008, 50905, 52355, 50905, 55120, 51097, 63056, 51097, 57624, 50905, 52155, 50905, 66207, 51097, 52665, 62214, 69435, 51266, 50905, 52278, 50905, 52285, 50905, 52182, 50905, 51789, 50905, 50799, 51491, 50905, 77473, 54219, 50905, 51900, 50905, 55120, 51097, 63056, 51097, 54027, 50905, 51596, 50905, 66207, 51097, 52665, 73318, 69651, 51913, 50827, 52355, 50822, 52155, 50822, 52521, 53591, 51107, 50822, 51913, 50827, 51900, 50822, 51596, 50822, 52521, 52580, 51266, 50905, 51913, 50827, 52285, 50905, 55120, 51097, 63056, 51097, 51789, 50905, 66207, 51097, 52665, 51097, 52521, 54889, 51913, 50827, 52521, 52739, 51107, 50822, 51913, 50838, 51900, 50822, 51596, 50822, 52521, 56784, 51266, 50822, 52285, 50822, 51789, 52691, 51284, 51337, 52515, 51337, 55120, 51097, 63056, 51097, 51686, 51337, 66207, 51097, 52665, 51097, 50446, 51301, 51337 ]

[ 0, 250, 15352, 30054, 8, 1372, 3495, 8, 5175, 2214, 19, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 6755, 12547, 6, 3459, 9590, 6, 13602, 6757, 6, 8, 23338, 33518, 1264, 4, 85, 18, 11, 5, 762, 9, 274, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8757, 741, 1685, 4, 20, 1049, 33215, 16739, 16, 274, 10431, 6, 2060, 119, 6, 230, 10431, 6, 274, 10431, 6, 2060, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50903, 50962, 51768, 54077, 50903, 50867, 51955, 50867, 60859, 50962, 51768, 54077, 50903, 54434, 51726, 50864, 51265, 50886, 52593, 68465, 51726, 50864, 79101, 51598, 62034, 51726, 71251, 50822, 51875, 50845, 50799, 51265, 52015, 51195, 52168, 52607, 52015, 50444, 51726, 50904, 79101, 52593, 53562, 51726, 71251, 50867, 51598, 55670, 51726, 50822, 51265, 50822, 51875, 50845, 50799, 51265, 51145, 51195, 51314, 52607, 76619, 51726, 50904, 51265, 50813, 52593, 68465, 51726, 50886, 60317, 51598, 68464, 51726, 50971, 51265, 50827, 51875, 50845, 50799, 51990, 51592, 51545, 52140, 53204, 53142, 50420, 52527, 53935, 52527, 54215, 52527, 54606, 52527, 76019, 52721, 65295, 52840, 68464, 51971, 51111, 50799, 52527, 51422, 53603, 51269, 53815, 51269, 52867, 64080, 53603, 51269, 53815, 51269, 52867, 58844, 53603, 51269, 53815, 51269, 52867, 67776, 51736, 53603, 51269, 53815, 51269, 52867, 61929, 53603, 51269, 53815, 51269, 52867, 62622, 53603, 51269, 53815, 51269, 52867, 60205, 53603, 51269, 53815, 51269, 52867, 62082, 52593, 50873, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 53204, 51313, 53603, 51269, 53815, 51269, 52867, 64080, 52527, 50867, 53603, 51269, 53815, 51269, 52867, 58844, 52527, 50862, 53603, 51269, 53815, 51269, 52867, 51269, 54407, 50432, 52527, 50834, 53603, 51269, 53815, 51269, 52867, 70855, 52527, 54014, 53603, 51269, 53815, 51269, 52867, 51269, 50441, 52527, 53162, 52527, 50886, 53603, 51269, 53815, 51269, 52867, 51269, 50447, 52527, 53674, 50450, 51971, 50901, 53603, 51269, 53815, 51269, 52867, 62082, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 52840, 51267, 53281, 51269, 54575, 51269, 54466, 64080, 53281, 51269, 54575, 51269, 54466, 58844, 53037, 50812, 53281, 51269, 54575, 51269, 54466, 60816, 53037, 51591, 53281, 51269, 54575, 51269, 54466, 61929, 53281, 51269, 54575, 51269, 54466, 62622, 53281, 51269, 54575, 51269, 54466, 60205, 53281, 51269, 54575, 51269, 54466, 62082, 52426, 50845, 53281, 51269, 54575, 51269, 54466, 51269, 50799, 55213, 52015, 53281, 51269, 54575, 51269, 54466, 64080, 53281, 51269, 54575, 51269, 54466, 58844, 52840, 51000, 53281, 51269, 54575, 51269, 54466, 51269, 54407, 50432, 52840, 50854, 53281, 51269, 54575, 51269, 54466, 61929, 52840, 50854, 53281, 51269, 54575, 51269, 54466, 62622, 52840, 51101, 53281, 51269, 54575, 51269, 54466, 60205, 52721, 50845, 53281, 51269, 54575, 51269, 54466, 62082, 52280, 50812, 53281, 51269, 54575, 51269, 54466, 79207, 52721, 51151, 50799, 53603, 51269, 53815, 51269, 52867, 64080, 53603, 51269, 53815, 51269, 52867, 58844, 53603, 51269, 53815, 51269, 52867, 60816, 53603, 51269, 53815, 51269, 52867, 61929, 53603, 51269, 53815, 51269, 52867, 62622, 53603, 51269, 53815, 51269, 52867, 60205, 53603, 51269, 53815, 51269, 52867, 62082, 52593, 50978, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 53204, 52222, 53603, 51269, 53815, 51269, 52867, 64080, 53603, 51269, 53815, 51269, 52867, 58844, 52721, 51177, 53603, 51269, 53815, 51269, 52867, 51269, 54407, 50432, 52840, 50959, 53603, 51269, 53815, 51269, 52867, 70855, 52527, 72759, 53603, 51269, 53815, 51269, 52867, 62622, 52527, 51101, 53603, 51269, 53815, 51269, 52867, 60205, 52840, 51212, 53603, 51269, 53815, 51269, 52867, 62082, 52721, 51277, 53603, 51269, 53815, 51269, 52867, 51269, 50799, 55213, 52256, 52840, 51003, 53281, 51269, 54575, 51269, 54466, 64080, 53281, 51269, 54575, 51269, 54466, 58844, 52280, 51100, 53281, 51269, 54575, 51269, 54466, 60816, 55213, 51142, 52721, 51008, 53281, 51269, 54575, 51269, 54466, 70855, 52840, 58346, 52593, 51391, 53815, 51269, 53125, 51269, 54466, 62622, 52840, 51101, 53815, 51269, 53125, 51269, 54466, 60205, 52721, 50901, 53815, 51269, 53125, 51269, 54466, 67776, 58774, 52593, 51174, 52280, 50917, 53815, 51269, 53125, 51269, 54466, 51269, 50799, 53204, 50837, 53204, 50834, 52721, 50942, 53603, 51269, 53815, 51269, 52867, 64080, 52527, 50864, 53603, 51269, 53815, 51269, 52867, 58844, 52527, 50833, 53603, 51269, 53815, 51269, 52867, 50366, 58290, 54216, 52527, 50855, 53603, 51269, 53815, 51269, 52867, 50366, 58290, 55782, 52527, 78259, 53603, 51269, 53815, 51269, 52867, 72348, 55384, 51456, 54247, 52721, 51177, 53603, 51269, 53815, 51269, 52867, 51269, 50447, 51456, 53688, 52840, 51177, 53603, 51269, 53815, 51269, 52867, 50366, 55801, 54583, 52593, 50805, 51971, 51060, 53603, 51269, 53815, 51269, 52867, 51269, 51042, 51297, 50944, 51297, 51298, 51297, 50935, 50366, 53221, 50834, 50799, 53204, 50874, 52527, 51183, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 51297, 51298, 50366, 52526, 53223, 53204, 50844, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50421, 50935, 51297, 51042, 51297, 51298, 61288, 53603, 51269, 53815, 51269, 52867, 63329, 52749, 52593, 51006, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 51297, 51298, 61389, 53204, 50827, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 51297, 51298, 60226, 53204, 50827, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 50445, 51042, 60258, 53603, 51269, 53815, 51269, 52867, 63329, 54424, 52593, 50978, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 51042, 51297, 50799, 53204, 50851, 53603, 51269, 53815, 51269, 52867, 51269, 50935, 51297, 51298, 51297, 50944, 51297, 51042, 59338, 53204, 51051, 52527, 50862, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50421, 51298, 51297, 50935, 61288, 52527, 50836, 53603, 51269, 53815, 51269, 52867, 63329, 53695, 52593, 50978, 52527, 50862, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 51042, 70709, 52527, 55306, 53204, 50907, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51298, 51297, 51042, 51297, 50935, 60226, 53204, 50974, 52527, 50849, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 50935, 51297, 51298, 51297, 51042, 60258, 51971, 51111, 53603, 51269, 53815, 51269, 52867, 63329, 54583, 52593, 50905, 52527, 51177, 53603, 51269, 53815, 51269, 52867, 51269, 50944, 51297, 51042, 51297, 50935, 58469, 50319, 52731, 50799, 55213, 50874, 52840, 50914, 53281, 51269, 54575, 51269, 54466, 51269, 50992, 51297, 51149, 51297, 51017, 51297, 51125, 59338, 55213, 50933, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51297, 51125, 51297, 50992, 51297, 51017, 61288, 53037, 50812, 53281, 51269, 54575, 51269, 54466, 63329, 52749, 52426, 51058, 53037, 51591, 53281, 51269, 54575, 51269, 54466, 51269, 51125, 51297, 50992, 51297, 51017, 51297, 51149, 61389, 55213, 50984, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51297, 50992, 51297, 51125, 51297, 51017, 60226, 55213, 50933, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51269, 51017, 51297, 50992, 51297, 51125, 60258, 53281, 51269, 54575, 51269, 54466, 63329, 54424, 52426, 51006, 53281, 51269, 54575, 51269, 54466, 51269, 51125, 51297, 51149, 51269, 50992, 51297, 51017, 51297, 50799, 55213, 50864, 53281, 51269, 54575, 51269, 54466, 51269, 51149, 51297, 51017, 51297, 50992, 51297, 51125, 59338, 55213, 50822, 53281, 51269, 54575, 51269, 54466, 51269, 50992, 51297, 51149, 51269, 51017, 51297, 51125 ]